18038 lines
5.0 MiB
18038 lines
5.0 MiB
<!DOCTYPE html>
|
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<!-- saved from url=(0077)http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false -->
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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
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<title>examples</title>
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<script src="./examples_files/require.min.js"></script>
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<script src="./examples_files/jquery.min.js"></script>
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<style type="text/css">
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/*!
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*
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* Twitter Bootstrap
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*
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*/
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/*!
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* Bootstrap v3.3.7 (http://getbootstrap.com)
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* Copyright 2011-2016 Twitter, Inc.
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* Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
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*/
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/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
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html {
|
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font-family: sans-serif;
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-ms-text-size-adjust: 100%;
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-webkit-text-size-adjust: 100%;
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||
}
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||
body {
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||
margin: 0;
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||
}
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||
article,
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||
aside,
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||
details,
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||
figcaption,
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figure,
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||
footer,
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||
header,
|
||
hgroup,
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main,
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||
menu,
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||
nav,
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||
section,
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||
summary {
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||
display: block;
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||
}
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||
audio,
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||
canvas,
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||
progress,
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||
video {
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||
display: inline-block;
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||
vertical-align: baseline;
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||
}
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||
audio:not([controls]) {
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||
display: none;
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||
height: 0;
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||
}
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||
[hidden],
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||
template {
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||
display: none;
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||
}
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||
a {
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||
background-color: transparent;
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||
}
|
||
a:active,
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||
a:hover {
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||
outline: 0;
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||
}
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||
abbr[title] {
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||
border-bottom: 1px dotted;
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||
}
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||
b,
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||
strong {
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||
font-weight: bold;
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||
}
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||
dfn {
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||
font-style: italic;
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||
}
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||
h1 {
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||
font-size: 2em;
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||
margin: 0.67em 0;
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||
}
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||
mark {
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||
background: #ff0;
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||
color: #000;
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||
}
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||
small {
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||
font-size: 80%;
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||
}
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||
sub,
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||
sup {
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||
font-size: 75%;
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||
line-height: 0;
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||
position: relative;
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||
vertical-align: baseline;
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||
}
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||
sup {
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||
top: -0.5em;
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||
}
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||
sub {
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||
bottom: -0.25em;
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||
}
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img {
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||
border: 0;
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||
}
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svg:not(:root) {
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||
overflow: hidden;
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||
}
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||
figure {
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||
margin: 1em 40px;
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||
}
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||
hr {
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||
box-sizing: content-box;
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||
height: 0;
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||
}
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||
pre {
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||
overflow: auto;
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||
}
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||
code,
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||
kbd,
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||
pre,
|
||
samp {
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||
font-family: monospace, monospace;
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||
font-size: 1em;
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||
}
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||
button,
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||
input,
|
||
optgroup,
|
||
select,
|
||
textarea {
|
||
color: inherit;
|
||
font: inherit;
|
||
margin: 0;
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||
}
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||
button {
|
||
overflow: visible;
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||
}
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||
button,
|
||
select {
|
||
text-transform: none;
|
||
}
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||
button,
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||
html input[type="button"],
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||
input[type="reset"],
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||
input[type="submit"] {
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||
-webkit-appearance: button;
|
||
cursor: pointer;
|
||
}
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||
button[disabled],
|
||
html input[disabled] {
|
||
cursor: default;
|
||
}
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||
button::-moz-focus-inner,
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||
input::-moz-focus-inner {
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||
border: 0;
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||
padding: 0;
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||
}
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||
input {
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||
line-height: normal;
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||
}
|
||
input[type="checkbox"],
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||
input[type="radio"] {
|
||
box-sizing: border-box;
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||
padding: 0;
|
||
}
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||
input[type="number"]::-webkit-inner-spin-button,
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||
input[type="number"]::-webkit-outer-spin-button {
|
||
height: auto;
|
||
}
|
||
input[type="search"] {
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||
-webkit-appearance: textfield;
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||
box-sizing: content-box;
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||
}
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||
input[type="search"]::-webkit-search-cancel-button,
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||
input[type="search"]::-webkit-search-decoration {
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||
-webkit-appearance: none;
|
||
}
|
||
fieldset {
|
||
border: 1px solid #c0c0c0;
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||
margin: 0 2px;
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||
padding: 0.35em 0.625em 0.75em;
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||
}
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||
legend {
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||
border: 0;
|
||
padding: 0;
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||
}
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||
textarea {
|
||
overflow: auto;
|
||
}
|
||
optgroup {
|
||
font-weight: bold;
|
||
}
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||
table {
|
||
border-collapse: collapse;
|
||
border-spacing: 0;
|
||
}
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||
td,
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||
th {
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||
padding: 0;
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||
}
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||
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
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@media print {
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||
*,
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||
*:before,
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||
*:after {
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||
background: transparent !important;
|
||
box-shadow: none !important;
|
||
text-shadow: none !important;
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||
}
|
||
a,
|
||
a:visited {
|
||
text-decoration: underline;
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||
}
|
||
a[href]:after {
|
||
content: " (" attr(href) ")";
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||
}
|
||
abbr[title]:after {
|
||
content: " (" attr(title) ")";
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||
}
|
||
a[href^="#"]:after,
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||
a[href^="javascript:"]:after {
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||
content: "";
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||
}
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||
pre,
|
||
blockquote {
|
||
border: 1px solid #999;
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||
page-break-inside: avoid;
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||
}
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||
thead {
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||
display: table-header-group;
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||
}
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||
tr,
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||
img {
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||
page-break-inside: avoid;
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||
}
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||
img {
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||
max-width: 100% !important;
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||
}
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||
p,
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||
h2,
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||
h3 {
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||
orphans: 3;
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||
widows: 3;
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||
}
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||
h2,
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||
h3 {
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||
page-break-after: avoid;
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||
}
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||
.navbar {
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||
display: none;
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||
}
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||
.btn > .caret,
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||
.dropup > .btn > .caret {
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||
border-top-color: #000 !important;
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||
}
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||
.label {
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||
border: 1px solid #000;
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||
}
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||
.table {
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||
border-collapse: collapse !important;
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||
}
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||
.table td,
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||
.table th {
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||
background-color: #fff !important;
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||
}
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||
.table-bordered th,
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||
.table-bordered td {
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||
border: 1px solid #ddd !important;
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||
}
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||
}
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||
@font-face {
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||
font-family: 'Glyphicons Halflings';
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||
src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');
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||
src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff2') format('woff2'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg');
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||
}
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||
.glyphicon {
|
||
position: relative;
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||
top: 1px;
|
||
display: inline-block;
|
||
font-family: 'Glyphicons Halflings';
|
||
font-style: normal;
|
||
font-weight: normal;
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||
line-height: 1;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
}
|
||
.glyphicon-asterisk:before {
|
||
content: "\002a";
|
||
}
|
||
.glyphicon-plus:before {
|
||
content: "\002b";
|
||
}
|
||
.glyphicon-euro:before,
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||
.glyphicon-eur:before {
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||
content: "\20ac";
|
||
}
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||
.glyphicon-minus:before {
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||
content: "\2212";
|
||
}
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||
.glyphicon-cloud:before {
|
||
content: "\2601";
|
||
}
|
||
.glyphicon-envelope:before {
|
||
content: "\2709";
|
||
}
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||
.glyphicon-pencil:before {
|
||
content: "\270f";
|
||
}
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||
.glyphicon-glass:before {
|
||
content: "\e001";
|
||
}
|
||
.glyphicon-music:before {
|
||
content: "\e002";
|
||
}
|
||
.glyphicon-search:before {
|
||
content: "\e003";
|
||
}
|
||
.glyphicon-heart:before {
|
||
content: "\e005";
|
||
}
|
||
.glyphicon-star:before {
|
||
content: "\e006";
|
||
}
|
||
.glyphicon-star-empty:before {
|
||
content: "\e007";
|
||
}
|
||
.glyphicon-user:before {
|
||
content: "\e008";
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||
}
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||
.glyphicon-film:before {
|
||
content: "\e009";
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||
}
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||
.glyphicon-th-large:before {
|
||
content: "\e010";
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||
}
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||
.glyphicon-th:before {
|
||
content: "\e011";
|
||
}
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||
.glyphicon-th-list:before {
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||
content: "\e012";
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||
}
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||
.glyphicon-ok:before {
|
||
content: "\e013";
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||
}
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||
.glyphicon-remove:before {
|
||
content: "\e014";
|
||
}
|
||
.glyphicon-zoom-in:before {
|
||
content: "\e015";
|
||
}
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||
.glyphicon-zoom-out:before {
|
||
content: "\e016";
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||
}
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||
.glyphicon-off:before {
|
||
content: "\e017";
|
||
}
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||
.glyphicon-signal:before {
|
||
content: "\e018";
|
||
}
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||
.glyphicon-cog:before {
|
||
content: "\e019";
|
||
}
|
||
.glyphicon-trash:before {
|
||
content: "\e020";
|
||
}
|
||
.glyphicon-home:before {
|
||
content: "\e021";
|
||
}
|
||
.glyphicon-file:before {
|
||
content: "\e022";
|
||
}
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||
.glyphicon-time:before {
|
||
content: "\e023";
|
||
}
|
||
.glyphicon-road:before {
|
||
content: "\e024";
|
||
}
|
||
.glyphicon-download-alt:before {
|
||
content: "\e025";
|
||
}
|
||
.glyphicon-download:before {
|
||
content: "\e026";
|
||
}
|
||
.glyphicon-upload:before {
|
||
content: "\e027";
|
||
}
|
||
.glyphicon-inbox:before {
|
||
content: "\e028";
|
||
}
|
||
.glyphicon-play-circle:before {
|
||
content: "\e029";
|
||
}
|
||
.glyphicon-repeat:before {
|
||
content: "\e030";
|
||
}
|
||
.glyphicon-refresh:before {
|
||
content: "\e031";
|
||
}
|
||
.glyphicon-list-alt:before {
|
||
content: "\e032";
|
||
}
|
||
.glyphicon-lock:before {
|
||
content: "\e033";
|
||
}
|
||
.glyphicon-flag:before {
|
||
content: "\e034";
|
||
}
|
||
.glyphicon-headphones:before {
|
||
content: "\e035";
|
||
}
|
||
.glyphicon-volume-off:before {
|
||
content: "\e036";
|
||
}
|
||
.glyphicon-volume-down:before {
|
||
content: "\e037";
|
||
}
|
||
.glyphicon-volume-up:before {
|
||
content: "\e038";
|
||
}
|
||
.glyphicon-qrcode:before {
|
||
content: "\e039";
|
||
}
|
||
.glyphicon-barcode:before {
|
||
content: "\e040";
|
||
}
|
||
.glyphicon-tag:before {
|
||
content: "\e041";
|
||
}
|
||
.glyphicon-tags:before {
|
||
content: "\e042";
|
||
}
|
||
.glyphicon-book:before {
|
||
content: "\e043";
|
||
}
|
||
.glyphicon-bookmark:before {
|
||
content: "\e044";
|
||
}
|
||
.glyphicon-print:before {
|
||
content: "\e045";
|
||
}
|
||
.glyphicon-camera:before {
|
||
content: "\e046";
|
||
}
|
||
.glyphicon-font:before {
|
||
content: "\e047";
|
||
}
|
||
.glyphicon-bold:before {
|
||
content: "\e048";
|
||
}
|
||
.glyphicon-italic:before {
|
||
content: "\e049";
|
||
}
|
||
.glyphicon-text-height:before {
|
||
content: "\e050";
|
||
}
|
||
.glyphicon-text-width:before {
|
||
content: "\e051";
|
||
}
|
||
.glyphicon-align-left:before {
|
||
content: "\e052";
|
||
}
|
||
.glyphicon-align-center:before {
|
||
content: "\e053";
|
||
}
|
||
.glyphicon-align-right:before {
|
||
content: "\e054";
|
||
}
|
||
.glyphicon-align-justify:before {
|
||
content: "\e055";
|
||
}
|
||
.glyphicon-list:before {
|
||
content: "\e056";
|
||
}
|
||
.glyphicon-indent-left:before {
|
||
content: "\e057";
|
||
}
|
||
.glyphicon-indent-right:before {
|
||
content: "\e058";
|
||
}
|
||
.glyphicon-facetime-video:before {
|
||
content: "\e059";
|
||
}
|
||
.glyphicon-picture:before {
|
||
content: "\e060";
|
||
}
|
||
.glyphicon-map-marker:before {
|
||
content: "\e062";
|
||
}
|
||
.glyphicon-adjust:before {
|
||
content: "\e063";
|
||
}
|
||
.glyphicon-tint:before {
|
||
content: "\e064";
|
||
}
|
||
.glyphicon-edit:before {
|
||
content: "\e065";
|
||
}
|
||
.glyphicon-share:before {
|
||
content: "\e066";
|
||
}
|
||
.glyphicon-check:before {
|
||
content: "\e067";
|
||
}
|
||
.glyphicon-move:before {
|
||
content: "\e068";
|
||
}
|
||
.glyphicon-step-backward:before {
|
||
content: "\e069";
|
||
}
|
||
.glyphicon-fast-backward:before {
|
||
content: "\e070";
|
||
}
|
||
.glyphicon-backward:before {
|
||
content: "\e071";
|
||
}
|
||
.glyphicon-play:before {
|
||
content: "\e072";
|
||
}
|
||
.glyphicon-pause:before {
|
||
content: "\e073";
|
||
}
|
||
.glyphicon-stop:before {
|
||
content: "\e074";
|
||
}
|
||
.glyphicon-forward:before {
|
||
content: "\e075";
|
||
}
|
||
.glyphicon-fast-forward:before {
|
||
content: "\e076";
|
||
}
|
||
.glyphicon-step-forward:before {
|
||
content: "\e077";
|
||
}
|
||
.glyphicon-eject:before {
|
||
content: "\e078";
|
||
}
|
||
.glyphicon-chevron-left:before {
|
||
content: "\e079";
|
||
}
|
||
.glyphicon-chevron-right:before {
|
||
content: "\e080";
|
||
}
|
||
.glyphicon-plus-sign:before {
|
||
content: "\e081";
|
||
}
|
||
.glyphicon-minus-sign:before {
|
||
content: "\e082";
|
||
}
|
||
.glyphicon-remove-sign:before {
|
||
content: "\e083";
|
||
}
|
||
.glyphicon-ok-sign:before {
|
||
content: "\e084";
|
||
}
|
||
.glyphicon-question-sign:before {
|
||
content: "\e085";
|
||
}
|
||
.glyphicon-info-sign:before {
|
||
content: "\e086";
|
||
}
|
||
.glyphicon-screenshot:before {
|
||
content: "\e087";
|
||
}
|
||
.glyphicon-remove-circle:before {
|
||
content: "\e088";
|
||
}
|
||
.glyphicon-ok-circle:before {
|
||
content: "\e089";
|
||
}
|
||
.glyphicon-ban-circle:before {
|
||
content: "\e090";
|
||
}
|
||
.glyphicon-arrow-left:before {
|
||
content: "\e091";
|
||
}
|
||
.glyphicon-arrow-right:before {
|
||
content: "\e092";
|
||
}
|
||
.glyphicon-arrow-up:before {
|
||
content: "\e093";
|
||
}
|
||
.glyphicon-arrow-down:before {
|
||
content: "\e094";
|
||
}
|
||
.glyphicon-share-alt:before {
|
||
content: "\e095";
|
||
}
|
||
.glyphicon-resize-full:before {
|
||
content: "\e096";
|
||
}
|
||
.glyphicon-resize-small:before {
|
||
content: "\e097";
|
||
}
|
||
.glyphicon-exclamation-sign:before {
|
||
content: "\e101";
|
||
}
|
||
.glyphicon-gift:before {
|
||
content: "\e102";
|
||
}
|
||
.glyphicon-leaf:before {
|
||
content: "\e103";
|
||
}
|
||
.glyphicon-fire:before {
|
||
content: "\e104";
|
||
}
|
||
.glyphicon-eye-open:before {
|
||
content: "\e105";
|
||
}
|
||
.glyphicon-eye-close:before {
|
||
content: "\e106";
|
||
}
|
||
.glyphicon-warning-sign:before {
|
||
content: "\e107";
|
||
}
|
||
.glyphicon-plane:before {
|
||
content: "\e108";
|
||
}
|
||
.glyphicon-calendar:before {
|
||
content: "\e109";
|
||
}
|
||
.glyphicon-random:before {
|
||
content: "\e110";
|
||
}
|
||
.glyphicon-comment:before {
|
||
content: "\e111";
|
||
}
|
||
.glyphicon-magnet:before {
|
||
content: "\e112";
|
||
}
|
||
.glyphicon-chevron-up:before {
|
||
content: "\e113";
|
||
}
|
||
.glyphicon-chevron-down:before {
|
||
content: "\e114";
|
||
}
|
||
.glyphicon-retweet:before {
|
||
content: "\e115";
|
||
}
|
||
.glyphicon-shopping-cart:before {
|
||
content: "\e116";
|
||
}
|
||
.glyphicon-folder-close:before {
|
||
content: "\e117";
|
||
}
|
||
.glyphicon-folder-open:before {
|
||
content: "\e118";
|
||
}
|
||
.glyphicon-resize-vertical:before {
|
||
content: "\e119";
|
||
}
|
||
.glyphicon-resize-horizontal:before {
|
||
content: "\e120";
|
||
}
|
||
.glyphicon-hdd:before {
|
||
content: "\e121";
|
||
}
|
||
.glyphicon-bullhorn:before {
|
||
content: "\e122";
|
||
}
|
||
.glyphicon-bell:before {
|
||
content: "\e123";
|
||
}
|
||
.glyphicon-certificate:before {
|
||
content: "\e124";
|
||
}
|
||
.glyphicon-thumbs-up:before {
|
||
content: "\e125";
|
||
}
|
||
.glyphicon-thumbs-down:before {
|
||
content: "\e126";
|
||
}
|
||
.glyphicon-hand-right:before {
|
||
content: "\e127";
|
||
}
|
||
.glyphicon-hand-left:before {
|
||
content: "\e128";
|
||
}
|
||
.glyphicon-hand-up:before {
|
||
content: "\e129";
|
||
}
|
||
.glyphicon-hand-down:before {
|
||
content: "\e130";
|
||
}
|
||
.glyphicon-circle-arrow-right:before {
|
||
content: "\e131";
|
||
}
|
||
.glyphicon-circle-arrow-left:before {
|
||
content: "\e132";
|
||
}
|
||
.glyphicon-circle-arrow-up:before {
|
||
content: "\e133";
|
||
}
|
||
.glyphicon-circle-arrow-down:before {
|
||
content: "\e134";
|
||
}
|
||
.glyphicon-globe:before {
|
||
content: "\e135";
|
||
}
|
||
.glyphicon-wrench:before {
|
||
content: "\e136";
|
||
}
|
||
.glyphicon-tasks:before {
|
||
content: "\e137";
|
||
}
|
||
.glyphicon-filter:before {
|
||
content: "\e138";
|
||
}
|
||
.glyphicon-briefcase:before {
|
||
content: "\e139";
|
||
}
|
||
.glyphicon-fullscreen:before {
|
||
content: "\e140";
|
||
}
|
||
.glyphicon-dashboard:before {
|
||
content: "\e141";
|
||
}
|
||
.glyphicon-paperclip:before {
|
||
content: "\e142";
|
||
}
|
||
.glyphicon-heart-empty:before {
|
||
content: "\e143";
|
||
}
|
||
.glyphicon-link:before {
|
||
content: "\e144";
|
||
}
|
||
.glyphicon-phone:before {
|
||
content: "\e145";
|
||
}
|
||
.glyphicon-pushpin:before {
|
||
content: "\e146";
|
||
}
|
||
.glyphicon-usd:before {
|
||
content: "\e148";
|
||
}
|
||
.glyphicon-gbp:before {
|
||
content: "\e149";
|
||
}
|
||
.glyphicon-sort:before {
|
||
content: "\e150";
|
||
}
|
||
.glyphicon-sort-by-alphabet:before {
|
||
content: "\e151";
|
||
}
|
||
.glyphicon-sort-by-alphabet-alt:before {
|
||
content: "\e152";
|
||
}
|
||
.glyphicon-sort-by-order:before {
|
||
content: "\e153";
|
||
}
|
||
.glyphicon-sort-by-order-alt:before {
|
||
content: "\e154";
|
||
}
|
||
.glyphicon-sort-by-attributes:before {
|
||
content: "\e155";
|
||
}
|
||
.glyphicon-sort-by-attributes-alt:before {
|
||
content: "\e156";
|
||
}
|
||
.glyphicon-unchecked:before {
|
||
content: "\e157";
|
||
}
|
||
.glyphicon-expand:before {
|
||
content: "\e158";
|
||
}
|
||
.glyphicon-collapse-down:before {
|
||
content: "\e159";
|
||
}
|
||
.glyphicon-collapse-up:before {
|
||
content: "\e160";
|
||
}
|
||
.glyphicon-log-in:before {
|
||
content: "\e161";
|
||
}
|
||
.glyphicon-flash:before {
|
||
content: "\e162";
|
||
}
|
||
.glyphicon-log-out:before {
|
||
content: "\e163";
|
||
}
|
||
.glyphicon-new-window:before {
|
||
content: "\e164";
|
||
}
|
||
.glyphicon-record:before {
|
||
content: "\e165";
|
||
}
|
||
.glyphicon-save:before {
|
||
content: "\e166";
|
||
}
|
||
.glyphicon-open:before {
|
||
content: "\e167";
|
||
}
|
||
.glyphicon-saved:before {
|
||
content: "\e168";
|
||
}
|
||
.glyphicon-import:before {
|
||
content: "\e169";
|
||
}
|
||
.glyphicon-export:before {
|
||
content: "\e170";
|
||
}
|
||
.glyphicon-send:before {
|
||
content: "\e171";
|
||
}
|
||
.glyphicon-floppy-disk:before {
|
||
content: "\e172";
|
||
}
|
||
.glyphicon-floppy-saved:before {
|
||
content: "\e173";
|
||
}
|
||
.glyphicon-floppy-remove:before {
|
||
content: "\e174";
|
||
}
|
||
.glyphicon-floppy-save:before {
|
||
content: "\e175";
|
||
}
|
||
.glyphicon-floppy-open:before {
|
||
content: "\e176";
|
||
}
|
||
.glyphicon-credit-card:before {
|
||
content: "\e177";
|
||
}
|
||
.glyphicon-transfer:before {
|
||
content: "\e178";
|
||
}
|
||
.glyphicon-cutlery:before {
|
||
content: "\e179";
|
||
}
|
||
.glyphicon-header:before {
|
||
content: "\e180";
|
||
}
|
||
.glyphicon-compressed:before {
|
||
content: "\e181";
|
||
}
|
||
.glyphicon-earphone:before {
|
||
content: "\e182";
|
||
}
|
||
.glyphicon-phone-alt:before {
|
||
content: "\e183";
|
||
}
|
||
.glyphicon-tower:before {
|
||
content: "\e184";
|
||
}
|
||
.glyphicon-stats:before {
|
||
content: "\e185";
|
||
}
|
||
.glyphicon-sd-video:before {
|
||
content: "\e186";
|
||
}
|
||
.glyphicon-hd-video:before {
|
||
content: "\e187";
|
||
}
|
||
.glyphicon-subtitles:before {
|
||
content: "\e188";
|
||
}
|
||
.glyphicon-sound-stereo:before {
|
||
content: "\e189";
|
||
}
|
||
.glyphicon-sound-dolby:before {
|
||
content: "\e190";
|
||
}
|
||
.glyphicon-sound-5-1:before {
|
||
content: "\e191";
|
||
}
|
||
.glyphicon-sound-6-1:before {
|
||
content: "\e192";
|
||
}
|
||
.glyphicon-sound-7-1:before {
|
||
content: "\e193";
|
||
}
|
||
.glyphicon-copyright-mark:before {
|
||
content: "\e194";
|
||
}
|
||
.glyphicon-registration-mark:before {
|
||
content: "\e195";
|
||
}
|
||
.glyphicon-cloud-download:before {
|
||
content: "\e197";
|
||
}
|
||
.glyphicon-cloud-upload:before {
|
||
content: "\e198";
|
||
}
|
||
.glyphicon-tree-conifer:before {
|
||
content: "\e199";
|
||
}
|
||
.glyphicon-tree-deciduous:before {
|
||
content: "\e200";
|
||
}
|
||
.glyphicon-cd:before {
|
||
content: "\e201";
|
||
}
|
||
.glyphicon-save-file:before {
|
||
content: "\e202";
|
||
}
|
||
.glyphicon-open-file:before {
|
||
content: "\e203";
|
||
}
|
||
.glyphicon-level-up:before {
|
||
content: "\e204";
|
||
}
|
||
.glyphicon-copy:before {
|
||
content: "\e205";
|
||
}
|
||
.glyphicon-paste:before {
|
||
content: "\e206";
|
||
}
|
||
.glyphicon-alert:before {
|
||
content: "\e209";
|
||
}
|
||
.glyphicon-equalizer:before {
|
||
content: "\e210";
|
||
}
|
||
.glyphicon-king:before {
|
||
content: "\e211";
|
||
}
|
||
.glyphicon-queen:before {
|
||
content: "\e212";
|
||
}
|
||
.glyphicon-pawn:before {
|
||
content: "\e213";
|
||
}
|
||
.glyphicon-bishop:before {
|
||
content: "\e214";
|
||
}
|
||
.glyphicon-knight:before {
|
||
content: "\e215";
|
||
}
|
||
.glyphicon-baby-formula:before {
|
||
content: "\e216";
|
||
}
|
||
.glyphicon-tent:before {
|
||
content: "\26fa";
|
||
}
|
||
.glyphicon-blackboard:before {
|
||
content: "\e218";
|
||
}
|
||
.glyphicon-bed:before {
|
||
content: "\e219";
|
||
}
|
||
.glyphicon-apple:before {
|
||
content: "\f8ff";
|
||
}
|
||
.glyphicon-erase:before {
|
||
content: "\e221";
|
||
}
|
||
.glyphicon-hourglass:before {
|
||
content: "\231b";
|
||
}
|
||
.glyphicon-lamp:before {
|
||
content: "\e223";
|
||
}
|
||
.glyphicon-duplicate:before {
|
||
content: "\e224";
|
||
}
|
||
.glyphicon-piggy-bank:before {
|
||
content: "\e225";
|
||
}
|
||
.glyphicon-scissors:before {
|
||
content: "\e226";
|
||
}
|
||
.glyphicon-bitcoin:before {
|
||
content: "\e227";
|
||
}
|
||
.glyphicon-btc:before {
|
||
content: "\e227";
|
||
}
|
||
.glyphicon-xbt:before {
|
||
content: "\e227";
|
||
}
|
||
.glyphicon-yen:before {
|
||
content: "\00a5";
|
||
}
|
||
.glyphicon-jpy:before {
|
||
content: "\00a5";
|
||
}
|
||
.glyphicon-ruble:before {
|
||
content: "\20bd";
|
||
}
|
||
.glyphicon-rub:before {
|
||
content: "\20bd";
|
||
}
|
||
.glyphicon-scale:before {
|
||
content: "\e230";
|
||
}
|
||
.glyphicon-ice-lolly:before {
|
||
content: "\e231";
|
||
}
|
||
.glyphicon-ice-lolly-tasted:before {
|
||
content: "\e232";
|
||
}
|
||
.glyphicon-education:before {
|
||
content: "\e233";
|
||
}
|
||
.glyphicon-option-horizontal:before {
|
||
content: "\e234";
|
||
}
|
||
.glyphicon-option-vertical:before {
|
||
content: "\e235";
|
||
}
|
||
.glyphicon-menu-hamburger:before {
|
||
content: "\e236";
|
||
}
|
||
.glyphicon-modal-window:before {
|
||
content: "\e237";
|
||
}
|
||
.glyphicon-oil:before {
|
||
content: "\e238";
|
||
}
|
||
.glyphicon-grain:before {
|
||
content: "\e239";
|
||
}
|
||
.glyphicon-sunglasses:before {
|
||
content: "\e240";
|
||
}
|
||
.glyphicon-text-size:before {
|
||
content: "\e241";
|
||
}
|
||
.glyphicon-text-color:before {
|
||
content: "\e242";
|
||
}
|
||
.glyphicon-text-background:before {
|
||
content: "\e243";
|
||
}
|
||
.glyphicon-object-align-top:before {
|
||
content: "\e244";
|
||
}
|
||
.glyphicon-object-align-bottom:before {
|
||
content: "\e245";
|
||
}
|
||
.glyphicon-object-align-horizontal:before {
|
||
content: "\e246";
|
||
}
|
||
.glyphicon-object-align-left:before {
|
||
content: "\e247";
|
||
}
|
||
.glyphicon-object-align-vertical:before {
|
||
content: "\e248";
|
||
}
|
||
.glyphicon-object-align-right:before {
|
||
content: "\e249";
|
||
}
|
||
.glyphicon-triangle-right:before {
|
||
content: "\e250";
|
||
}
|
||
.glyphicon-triangle-left:before {
|
||
content: "\e251";
|
||
}
|
||
.glyphicon-triangle-bottom:before {
|
||
content: "\e252";
|
||
}
|
||
.glyphicon-triangle-top:before {
|
||
content: "\e253";
|
||
}
|
||
.glyphicon-console:before {
|
||
content: "\e254";
|
||
}
|
||
.glyphicon-superscript:before {
|
||
content: "\e255";
|
||
}
|
||
.glyphicon-subscript:before {
|
||
content: "\e256";
|
||
}
|
||
.glyphicon-menu-left:before {
|
||
content: "\e257";
|
||
}
|
||
.glyphicon-menu-right:before {
|
||
content: "\e258";
|
||
}
|
||
.glyphicon-menu-down:before {
|
||
content: "\e259";
|
||
}
|
||
.glyphicon-menu-up:before {
|
||
content: "\e260";
|
||
}
|
||
* {
|
||
-webkit-box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
box-sizing: border-box;
|
||
}
|
||
*:before,
|
||
*:after {
|
||
-webkit-box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
box-sizing: border-box;
|
||
}
|
||
html {
|
||
font-size: 10px;
|
||
-webkit-tap-highlight-color: rgba(0, 0, 0, 0);
|
||
}
|
||
body {
|
||
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
color: #000;
|
||
background-color: #fff;
|
||
}
|
||
input,
|
||
button,
|
||
select,
|
||
textarea {
|
||
font-family: inherit;
|
||
font-size: inherit;
|
||
line-height: inherit;
|
||
}
|
||
a {
|
||
color: #337ab7;
|
||
text-decoration: none;
|
||
}
|
||
a:hover,
|
||
a:focus {
|
||
color: #23527c;
|
||
text-decoration: underline;
|
||
}
|
||
a:focus {
|
||
outline: 5px auto -webkit-focus-ring-color;
|
||
outline-offset: -2px;
|
||
}
|
||
figure {
|
||
margin: 0;
|
||
}
|
||
img {
|
||
vertical-align: middle;
|
||
}
|
||
.img-responsive,
|
||
.thumbnail > img,
|
||
.thumbnail a > img,
|
||
.carousel-inner > .item > img,
|
||
.carousel-inner > .item > a > img {
|
||
display: block;
|
||
max-width: 100%;
|
||
height: auto;
|
||
}
|
||
.img-rounded {
|
||
border-radius: 3px;
|
||
}
|
||
.img-thumbnail {
|
||
padding: 4px;
|
||
line-height: 1.42857143;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
border-radius: 2px;
|
||
-webkit-transition: all 0.2s ease-in-out;
|
||
-o-transition: all 0.2s ease-in-out;
|
||
transition: all 0.2s ease-in-out;
|
||
display: inline-block;
|
||
max-width: 100%;
|
||
height: auto;
|
||
}
|
||
.img-circle {
|
||
border-radius: 50%;
|
||
}
|
||
hr {
|
||
margin-top: 18px;
|
||
margin-bottom: 18px;
|
||
border: 0;
|
||
border-top: 1px solid #eeeeee;
|
||
}
|
||
.sr-only {
|
||
position: absolute;
|
||
width: 1px;
|
||
height: 1px;
|
||
margin: -1px;
|
||
padding: 0;
|
||
overflow: hidden;
|
||
clip: rect(0, 0, 0, 0);
|
||
border: 0;
|
||
}
|
||
.sr-only-focusable:active,
|
||
.sr-only-focusable:focus {
|
||
position: static;
|
||
width: auto;
|
||
height: auto;
|
||
margin: 0;
|
||
overflow: visible;
|
||
clip: auto;
|
||
}
|
||
[role="button"] {
|
||
cursor: pointer;
|
||
}
|
||
h1,
|
||
h2,
|
||
h3,
|
||
h4,
|
||
h5,
|
||
h6,
|
||
.h1,
|
||
.h2,
|
||
.h3,
|
||
.h4,
|
||
.h5,
|
||
.h6 {
|
||
font-family: inherit;
|
||
font-weight: 500;
|
||
line-height: 1.1;
|
||
color: inherit;
|
||
}
|
||
h1 small,
|
||
h2 small,
|
||
h3 small,
|
||
h4 small,
|
||
h5 small,
|
||
h6 small,
|
||
.h1 small,
|
||
.h2 small,
|
||
.h3 small,
|
||
.h4 small,
|
||
.h5 small,
|
||
.h6 small,
|
||
h1 .small,
|
||
h2 .small,
|
||
h3 .small,
|
||
h4 .small,
|
||
h5 .small,
|
||
h6 .small,
|
||
.h1 .small,
|
||
.h2 .small,
|
||
.h3 .small,
|
||
.h4 .small,
|
||
.h5 .small,
|
||
.h6 .small {
|
||
font-weight: normal;
|
||
line-height: 1;
|
||
color: #777777;
|
||
}
|
||
h1,
|
||
.h1,
|
||
h2,
|
||
.h2,
|
||
h3,
|
||
.h3 {
|
||
margin-top: 18px;
|
||
margin-bottom: 9px;
|
||
}
|
||
h1 small,
|
||
.h1 small,
|
||
h2 small,
|
||
.h2 small,
|
||
h3 small,
|
||
.h3 small,
|
||
h1 .small,
|
||
.h1 .small,
|
||
h2 .small,
|
||
.h2 .small,
|
||
h3 .small,
|
||
.h3 .small {
|
||
font-size: 65%;
|
||
}
|
||
h4,
|
||
.h4,
|
||
h5,
|
||
.h5,
|
||
h6,
|
||
.h6 {
|
||
margin-top: 9px;
|
||
margin-bottom: 9px;
|
||
}
|
||
h4 small,
|
||
.h4 small,
|
||
h5 small,
|
||
.h5 small,
|
||
h6 small,
|
||
.h6 small,
|
||
h4 .small,
|
||
.h4 .small,
|
||
h5 .small,
|
||
.h5 .small,
|
||
h6 .small,
|
||
.h6 .small {
|
||
font-size: 75%;
|
||
}
|
||
h1,
|
||
.h1 {
|
||
font-size: 33px;
|
||
}
|
||
h2,
|
||
.h2 {
|
||
font-size: 27px;
|
||
}
|
||
h3,
|
||
.h3 {
|
||
font-size: 23px;
|
||
}
|
||
h4,
|
||
.h4 {
|
||
font-size: 17px;
|
||
}
|
||
h5,
|
||
.h5 {
|
||
font-size: 13px;
|
||
}
|
||
h6,
|
||
.h6 {
|
||
font-size: 12px;
|
||
}
|
||
p {
|
||
margin: 0 0 9px;
|
||
}
|
||
.lead {
|
||
margin-bottom: 18px;
|
||
font-size: 14px;
|
||
font-weight: 300;
|
||
line-height: 1.4;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.lead {
|
||
font-size: 19.5px;
|
||
}
|
||
}
|
||
small,
|
||
.small {
|
||
font-size: 92%;
|
||
}
|
||
mark,
|
||
.mark {
|
||
background-color: #fcf8e3;
|
||
padding: .2em;
|
||
}
|
||
.text-left {
|
||
text-align: left;
|
||
}
|
||
.text-right {
|
||
text-align: right;
|
||
}
|
||
.text-center {
|
||
text-align: center;
|
||
}
|
||
.text-justify {
|
||
text-align: justify;
|
||
}
|
||
.text-nowrap {
|
||
white-space: nowrap;
|
||
}
|
||
.text-lowercase {
|
||
text-transform: lowercase;
|
||
}
|
||
.text-uppercase {
|
||
text-transform: uppercase;
|
||
}
|
||
.text-capitalize {
|
||
text-transform: capitalize;
|
||
}
|
||
.text-muted {
|
||
color: #777777;
|
||
}
|
||
.text-primary {
|
||
color: #337ab7;
|
||
}
|
||
a.text-primary:hover,
|
||
a.text-primary:focus {
|
||
color: #286090;
|
||
}
|
||
.text-success {
|
||
color: #3c763d;
|
||
}
|
||
a.text-success:hover,
|
||
a.text-success:focus {
|
||
color: #2b542c;
|
||
}
|
||
.text-info {
|
||
color: #31708f;
|
||
}
|
||
a.text-info:hover,
|
||
a.text-info:focus {
|
||
color: #245269;
|
||
}
|
||
.text-warning {
|
||
color: #8a6d3b;
|
||
}
|
||
a.text-warning:hover,
|
||
a.text-warning:focus {
|
||
color: #66512c;
|
||
}
|
||
.text-danger {
|
||
color: #a94442;
|
||
}
|
||
a.text-danger:hover,
|
||
a.text-danger:focus {
|
||
color: #843534;
|
||
}
|
||
.bg-primary {
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
}
|
||
a.bg-primary:hover,
|
||
a.bg-primary:focus {
|
||
background-color: #286090;
|
||
}
|
||
.bg-success {
|
||
background-color: #dff0d8;
|
||
}
|
||
a.bg-success:hover,
|
||
a.bg-success:focus {
|
||
background-color: #c1e2b3;
|
||
}
|
||
.bg-info {
|
||
background-color: #d9edf7;
|
||
}
|
||
a.bg-info:hover,
|
||
a.bg-info:focus {
|
||
background-color: #afd9ee;
|
||
}
|
||
.bg-warning {
|
||
background-color: #fcf8e3;
|
||
}
|
||
a.bg-warning:hover,
|
||
a.bg-warning:focus {
|
||
background-color: #f7ecb5;
|
||
}
|
||
.bg-danger {
|
||
background-color: #f2dede;
|
||
}
|
||
a.bg-danger:hover,
|
||
a.bg-danger:focus {
|
||
background-color: #e4b9b9;
|
||
}
|
||
.page-header {
|
||
padding-bottom: 8px;
|
||
margin: 36px 0 18px;
|
||
border-bottom: 1px solid #eeeeee;
|
||
}
|
||
ul,
|
||
ol {
|
||
margin-top: 0;
|
||
margin-bottom: 9px;
|
||
}
|
||
ul ul,
|
||
ol ul,
|
||
ul ol,
|
||
ol ol {
|
||
margin-bottom: 0;
|
||
}
|
||
.list-unstyled {
|
||
padding-left: 0;
|
||
list-style: none;
|
||
}
|
||
.list-inline {
|
||
padding-left: 0;
|
||
list-style: none;
|
||
margin-left: -5px;
|
||
}
|
||
.list-inline > li {
|
||
display: inline-block;
|
||
padding-left: 5px;
|
||
padding-right: 5px;
|
||
}
|
||
dl {
|
||
margin-top: 0;
|
||
margin-bottom: 18px;
|
||
}
|
||
dt,
|
||
dd {
|
||
line-height: 1.42857143;
|
||
}
|
||
dt {
|
||
font-weight: bold;
|
||
}
|
||
dd {
|
||
margin-left: 0;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.dl-horizontal dt {
|
||
float: left;
|
||
width: 160px;
|
||
clear: left;
|
||
text-align: right;
|
||
overflow: hidden;
|
||
text-overflow: ellipsis;
|
||
white-space: nowrap;
|
||
}
|
||
.dl-horizontal dd {
|
||
margin-left: 180px;
|
||
}
|
||
}
|
||
abbr[title],
|
||
abbr[data-original-title] {
|
||
cursor: help;
|
||
border-bottom: 1px dotted #777777;
|
||
}
|
||
.initialism {
|
||
font-size: 90%;
|
||
text-transform: uppercase;
|
||
}
|
||
blockquote {
|
||
padding: 9px 18px;
|
||
margin: 0 0 18px;
|
||
font-size: inherit;
|
||
border-left: 5px solid #eeeeee;
|
||
}
|
||
blockquote p:last-child,
|
||
blockquote ul:last-child,
|
||
blockquote ol:last-child {
|
||
margin-bottom: 0;
|
||
}
|
||
blockquote footer,
|
||
blockquote small,
|
||
blockquote .small {
|
||
display: block;
|
||
font-size: 80%;
|
||
line-height: 1.42857143;
|
||
color: #777777;
|
||
}
|
||
blockquote footer:before,
|
||
blockquote small:before,
|
||
blockquote .small:before {
|
||
content: '\2014 \00A0';
|
||
}
|
||
.blockquote-reverse,
|
||
blockquote.pull-right {
|
||
padding-right: 15px;
|
||
padding-left: 0;
|
||
border-right: 5px solid #eeeeee;
|
||
border-left: 0;
|
||
text-align: right;
|
||
}
|
||
.blockquote-reverse footer:before,
|
||
blockquote.pull-right footer:before,
|
||
.blockquote-reverse small:before,
|
||
blockquote.pull-right small:before,
|
||
.blockquote-reverse .small:before,
|
||
blockquote.pull-right .small:before {
|
||
content: '';
|
||
}
|
||
.blockquote-reverse footer:after,
|
||
blockquote.pull-right footer:after,
|
||
.blockquote-reverse small:after,
|
||
blockquote.pull-right small:after,
|
||
.blockquote-reverse .small:after,
|
||
blockquote.pull-right .small:after {
|
||
content: '\00A0 \2014';
|
||
}
|
||
address {
|
||
margin-bottom: 18px;
|
||
font-style: normal;
|
||
line-height: 1.42857143;
|
||
}
|
||
code,
|
||
kbd,
|
||
pre,
|
||
samp {
|
||
font-family: monospace;
|
||
}
|
||
code {
|
||
padding: 2px 4px;
|
||
font-size: 90%;
|
||
color: #c7254e;
|
||
background-color: #f9f2f4;
|
||
border-radius: 2px;
|
||
}
|
||
kbd {
|
||
padding: 2px 4px;
|
||
font-size: 90%;
|
||
color: #888;
|
||
background-color: transparent;
|
||
border-radius: 1px;
|
||
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
|
||
}
|
||
kbd kbd {
|
||
padding: 0;
|
||
font-size: 100%;
|
||
font-weight: bold;
|
||
box-shadow: none;
|
||
}
|
||
pre {
|
||
display: block;
|
||
padding: 8.5px;
|
||
margin: 0 0 9px;
|
||
font-size: 12px;
|
||
line-height: 1.42857143;
|
||
word-break: break-all;
|
||
word-wrap: break-word;
|
||
color: #333333;
|
||
background-color: #f5f5f5;
|
||
border: 1px solid #ccc;
|
||
border-radius: 2px;
|
||
}
|
||
pre code {
|
||
padding: 0;
|
||
font-size: inherit;
|
||
color: inherit;
|
||
white-space: pre-wrap;
|
||
background-color: transparent;
|
||
border-radius: 0;
|
||
}
|
||
.pre-scrollable {
|
||
max-height: 340px;
|
||
overflow-y: scroll;
|
||
}
|
||
.container {
|
||
margin-right: auto;
|
||
margin-left: auto;
|
||
padding-left: 0px;
|
||
padding-right: 0px;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.container {
|
||
width: 768px;
|
||
}
|
||
}
|
||
@media (min-width: 992px) {
|
||
.container {
|
||
width: 940px;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.container {
|
||
width: 1140px;
|
||
}
|
||
}
|
||
.container-fluid {
|
||
margin-right: auto;
|
||
margin-left: auto;
|
||
padding-left: 0px;
|
||
padding-right: 0px;
|
||
}
|
||
.row {
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
}
|
||
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
|
||
position: relative;
|
||
min-height: 1px;
|
||
padding-left: 0px;
|
||
padding-right: 0px;
|
||
}
|
||
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
|
||
float: left;
|
||
}
|
||
.col-xs-12 {
|
||
width: 100%;
|
||
}
|
||
.col-xs-11 {
|
||
width: 91.66666667%;
|
||
}
|
||
.col-xs-10 {
|
||
width: 83.33333333%;
|
||
}
|
||
.col-xs-9 {
|
||
width: 75%;
|
||
}
|
||
.col-xs-8 {
|
||
width: 66.66666667%;
|
||
}
|
||
.col-xs-7 {
|
||
width: 58.33333333%;
|
||
}
|
||
.col-xs-6 {
|
||
width: 50%;
|
||
}
|
||
.col-xs-5 {
|
||
width: 41.66666667%;
|
||
}
|
||
.col-xs-4 {
|
||
width: 33.33333333%;
|
||
}
|
||
.col-xs-3 {
|
||
width: 25%;
|
||
}
|
||
.col-xs-2 {
|
||
width: 16.66666667%;
|
||
}
|
||
.col-xs-1 {
|
||
width: 8.33333333%;
|
||
}
|
||
.col-xs-pull-12 {
|
||
right: 100%;
|
||
}
|
||
.col-xs-pull-11 {
|
||
right: 91.66666667%;
|
||
}
|
||
.col-xs-pull-10 {
|
||
right: 83.33333333%;
|
||
}
|
||
.col-xs-pull-9 {
|
||
right: 75%;
|
||
}
|
||
.col-xs-pull-8 {
|
||
right: 66.66666667%;
|
||
}
|
||
.col-xs-pull-7 {
|
||
right: 58.33333333%;
|
||
}
|
||
.col-xs-pull-6 {
|
||
right: 50%;
|
||
}
|
||
.col-xs-pull-5 {
|
||
right: 41.66666667%;
|
||
}
|
||
.col-xs-pull-4 {
|
||
right: 33.33333333%;
|
||
}
|
||
.col-xs-pull-3 {
|
||
right: 25%;
|
||
}
|
||
.col-xs-pull-2 {
|
||
right: 16.66666667%;
|
||
}
|
||
.col-xs-pull-1 {
|
||
right: 8.33333333%;
|
||
}
|
||
.col-xs-pull-0 {
|
||
right: auto;
|
||
}
|
||
.col-xs-push-12 {
|
||
left: 100%;
|
||
}
|
||
.col-xs-push-11 {
|
||
left: 91.66666667%;
|
||
}
|
||
.col-xs-push-10 {
|
||
left: 83.33333333%;
|
||
}
|
||
.col-xs-push-9 {
|
||
left: 75%;
|
||
}
|
||
.col-xs-push-8 {
|
||
left: 66.66666667%;
|
||
}
|
||
.col-xs-push-7 {
|
||
left: 58.33333333%;
|
||
}
|
||
.col-xs-push-6 {
|
||
left: 50%;
|
||
}
|
||
.col-xs-push-5 {
|
||
left: 41.66666667%;
|
||
}
|
||
.col-xs-push-4 {
|
||
left: 33.33333333%;
|
||
}
|
||
.col-xs-push-3 {
|
||
left: 25%;
|
||
}
|
||
.col-xs-push-2 {
|
||
left: 16.66666667%;
|
||
}
|
||
.col-xs-push-1 {
|
||
left: 8.33333333%;
|
||
}
|
||
.col-xs-push-0 {
|
||
left: auto;
|
||
}
|
||
.col-xs-offset-12 {
|
||
margin-left: 100%;
|
||
}
|
||
.col-xs-offset-11 {
|
||
margin-left: 91.66666667%;
|
||
}
|
||
.col-xs-offset-10 {
|
||
margin-left: 83.33333333%;
|
||
}
|
||
.col-xs-offset-9 {
|
||
margin-left: 75%;
|
||
}
|
||
.col-xs-offset-8 {
|
||
margin-left: 66.66666667%;
|
||
}
|
||
.col-xs-offset-7 {
|
||
margin-left: 58.33333333%;
|
||
}
|
||
.col-xs-offset-6 {
|
||
margin-left: 50%;
|
||
}
|
||
.col-xs-offset-5 {
|
||
margin-left: 41.66666667%;
|
||
}
|
||
.col-xs-offset-4 {
|
||
margin-left: 33.33333333%;
|
||
}
|
||
.col-xs-offset-3 {
|
||
margin-left: 25%;
|
||
}
|
||
.col-xs-offset-2 {
|
||
margin-left: 16.66666667%;
|
||
}
|
||
.col-xs-offset-1 {
|
||
margin-left: 8.33333333%;
|
||
}
|
||
.col-xs-offset-0 {
|
||
margin-left: 0%;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
|
||
float: left;
|
||
}
|
||
.col-sm-12 {
|
||
width: 100%;
|
||
}
|
||
.col-sm-11 {
|
||
width: 91.66666667%;
|
||
}
|
||
.col-sm-10 {
|
||
width: 83.33333333%;
|
||
}
|
||
.col-sm-9 {
|
||
width: 75%;
|
||
}
|
||
.col-sm-8 {
|
||
width: 66.66666667%;
|
||
}
|
||
.col-sm-7 {
|
||
width: 58.33333333%;
|
||
}
|
||
.col-sm-6 {
|
||
width: 50%;
|
||
}
|
||
.col-sm-5 {
|
||
width: 41.66666667%;
|
||
}
|
||
.col-sm-4 {
|
||
width: 33.33333333%;
|
||
}
|
||
.col-sm-3 {
|
||
width: 25%;
|
||
}
|
||
.col-sm-2 {
|
||
width: 16.66666667%;
|
||
}
|
||
.col-sm-1 {
|
||
width: 8.33333333%;
|
||
}
|
||
.col-sm-pull-12 {
|
||
right: 100%;
|
||
}
|
||
.col-sm-pull-11 {
|
||
right: 91.66666667%;
|
||
}
|
||
.col-sm-pull-10 {
|
||
right: 83.33333333%;
|
||
}
|
||
.col-sm-pull-9 {
|
||
right: 75%;
|
||
}
|
||
.col-sm-pull-8 {
|
||
right: 66.66666667%;
|
||
}
|
||
.col-sm-pull-7 {
|
||
right: 58.33333333%;
|
||
}
|
||
.col-sm-pull-6 {
|
||
right: 50%;
|
||
}
|
||
.col-sm-pull-5 {
|
||
right: 41.66666667%;
|
||
}
|
||
.col-sm-pull-4 {
|
||
right: 33.33333333%;
|
||
}
|
||
.col-sm-pull-3 {
|
||
right: 25%;
|
||
}
|
||
.col-sm-pull-2 {
|
||
right: 16.66666667%;
|
||
}
|
||
.col-sm-pull-1 {
|
||
right: 8.33333333%;
|
||
}
|
||
.col-sm-pull-0 {
|
||
right: auto;
|
||
}
|
||
.col-sm-push-12 {
|
||
left: 100%;
|
||
}
|
||
.col-sm-push-11 {
|
||
left: 91.66666667%;
|
||
}
|
||
.col-sm-push-10 {
|
||
left: 83.33333333%;
|
||
}
|
||
.col-sm-push-9 {
|
||
left: 75%;
|
||
}
|
||
.col-sm-push-8 {
|
||
left: 66.66666667%;
|
||
}
|
||
.col-sm-push-7 {
|
||
left: 58.33333333%;
|
||
}
|
||
.col-sm-push-6 {
|
||
left: 50%;
|
||
}
|
||
.col-sm-push-5 {
|
||
left: 41.66666667%;
|
||
}
|
||
.col-sm-push-4 {
|
||
left: 33.33333333%;
|
||
}
|
||
.col-sm-push-3 {
|
||
left: 25%;
|
||
}
|
||
.col-sm-push-2 {
|
||
left: 16.66666667%;
|
||
}
|
||
.col-sm-push-1 {
|
||
left: 8.33333333%;
|
||
}
|
||
.col-sm-push-0 {
|
||
left: auto;
|
||
}
|
||
.col-sm-offset-12 {
|
||
margin-left: 100%;
|
||
}
|
||
.col-sm-offset-11 {
|
||
margin-left: 91.66666667%;
|
||
}
|
||
.col-sm-offset-10 {
|
||
margin-left: 83.33333333%;
|
||
}
|
||
.col-sm-offset-9 {
|
||
margin-left: 75%;
|
||
}
|
||
.col-sm-offset-8 {
|
||
margin-left: 66.66666667%;
|
||
}
|
||
.col-sm-offset-7 {
|
||
margin-left: 58.33333333%;
|
||
}
|
||
.col-sm-offset-6 {
|
||
margin-left: 50%;
|
||
}
|
||
.col-sm-offset-5 {
|
||
margin-left: 41.66666667%;
|
||
}
|
||
.col-sm-offset-4 {
|
||
margin-left: 33.33333333%;
|
||
}
|
||
.col-sm-offset-3 {
|
||
margin-left: 25%;
|
||
}
|
||
.col-sm-offset-2 {
|
||
margin-left: 16.66666667%;
|
||
}
|
||
.col-sm-offset-1 {
|
||
margin-left: 8.33333333%;
|
||
}
|
||
.col-sm-offset-0 {
|
||
margin-left: 0%;
|
||
}
|
||
}
|
||
@media (min-width: 992px) {
|
||
.col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
|
||
float: left;
|
||
}
|
||
.col-md-12 {
|
||
width: 100%;
|
||
}
|
||
.col-md-11 {
|
||
width: 91.66666667%;
|
||
}
|
||
.col-md-10 {
|
||
width: 83.33333333%;
|
||
}
|
||
.col-md-9 {
|
||
width: 75%;
|
||
}
|
||
.col-md-8 {
|
||
width: 66.66666667%;
|
||
}
|
||
.col-md-7 {
|
||
width: 58.33333333%;
|
||
}
|
||
.col-md-6 {
|
||
width: 50%;
|
||
}
|
||
.col-md-5 {
|
||
width: 41.66666667%;
|
||
}
|
||
.col-md-4 {
|
||
width: 33.33333333%;
|
||
}
|
||
.col-md-3 {
|
||
width: 25%;
|
||
}
|
||
.col-md-2 {
|
||
width: 16.66666667%;
|
||
}
|
||
.col-md-1 {
|
||
width: 8.33333333%;
|
||
}
|
||
.col-md-pull-12 {
|
||
right: 100%;
|
||
}
|
||
.col-md-pull-11 {
|
||
right: 91.66666667%;
|
||
}
|
||
.col-md-pull-10 {
|
||
right: 83.33333333%;
|
||
}
|
||
.col-md-pull-9 {
|
||
right: 75%;
|
||
}
|
||
.col-md-pull-8 {
|
||
right: 66.66666667%;
|
||
}
|
||
.col-md-pull-7 {
|
||
right: 58.33333333%;
|
||
}
|
||
.col-md-pull-6 {
|
||
right: 50%;
|
||
}
|
||
.col-md-pull-5 {
|
||
right: 41.66666667%;
|
||
}
|
||
.col-md-pull-4 {
|
||
right: 33.33333333%;
|
||
}
|
||
.col-md-pull-3 {
|
||
right: 25%;
|
||
}
|
||
.col-md-pull-2 {
|
||
right: 16.66666667%;
|
||
}
|
||
.col-md-pull-1 {
|
||
right: 8.33333333%;
|
||
}
|
||
.col-md-pull-0 {
|
||
right: auto;
|
||
}
|
||
.col-md-push-12 {
|
||
left: 100%;
|
||
}
|
||
.col-md-push-11 {
|
||
left: 91.66666667%;
|
||
}
|
||
.col-md-push-10 {
|
||
left: 83.33333333%;
|
||
}
|
||
.col-md-push-9 {
|
||
left: 75%;
|
||
}
|
||
.col-md-push-8 {
|
||
left: 66.66666667%;
|
||
}
|
||
.col-md-push-7 {
|
||
left: 58.33333333%;
|
||
}
|
||
.col-md-push-6 {
|
||
left: 50%;
|
||
}
|
||
.col-md-push-5 {
|
||
left: 41.66666667%;
|
||
}
|
||
.col-md-push-4 {
|
||
left: 33.33333333%;
|
||
}
|
||
.col-md-push-3 {
|
||
left: 25%;
|
||
}
|
||
.col-md-push-2 {
|
||
left: 16.66666667%;
|
||
}
|
||
.col-md-push-1 {
|
||
left: 8.33333333%;
|
||
}
|
||
.col-md-push-0 {
|
||
left: auto;
|
||
}
|
||
.col-md-offset-12 {
|
||
margin-left: 100%;
|
||
}
|
||
.col-md-offset-11 {
|
||
margin-left: 91.66666667%;
|
||
}
|
||
.col-md-offset-10 {
|
||
margin-left: 83.33333333%;
|
||
}
|
||
.col-md-offset-9 {
|
||
margin-left: 75%;
|
||
}
|
||
.col-md-offset-8 {
|
||
margin-left: 66.66666667%;
|
||
}
|
||
.col-md-offset-7 {
|
||
margin-left: 58.33333333%;
|
||
}
|
||
.col-md-offset-6 {
|
||
margin-left: 50%;
|
||
}
|
||
.col-md-offset-5 {
|
||
margin-left: 41.66666667%;
|
||
}
|
||
.col-md-offset-4 {
|
||
margin-left: 33.33333333%;
|
||
}
|
||
.col-md-offset-3 {
|
||
margin-left: 25%;
|
||
}
|
||
.col-md-offset-2 {
|
||
margin-left: 16.66666667%;
|
||
}
|
||
.col-md-offset-1 {
|
||
margin-left: 8.33333333%;
|
||
}
|
||
.col-md-offset-0 {
|
||
margin-left: 0%;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
|
||
float: left;
|
||
}
|
||
.col-lg-12 {
|
||
width: 100%;
|
||
}
|
||
.col-lg-11 {
|
||
width: 91.66666667%;
|
||
}
|
||
.col-lg-10 {
|
||
width: 83.33333333%;
|
||
}
|
||
.col-lg-9 {
|
||
width: 75%;
|
||
}
|
||
.col-lg-8 {
|
||
width: 66.66666667%;
|
||
}
|
||
.col-lg-7 {
|
||
width: 58.33333333%;
|
||
}
|
||
.col-lg-6 {
|
||
width: 50%;
|
||
}
|
||
.col-lg-5 {
|
||
width: 41.66666667%;
|
||
}
|
||
.col-lg-4 {
|
||
width: 33.33333333%;
|
||
}
|
||
.col-lg-3 {
|
||
width: 25%;
|
||
}
|
||
.col-lg-2 {
|
||
width: 16.66666667%;
|
||
}
|
||
.col-lg-1 {
|
||
width: 8.33333333%;
|
||
}
|
||
.col-lg-pull-12 {
|
||
right: 100%;
|
||
}
|
||
.col-lg-pull-11 {
|
||
right: 91.66666667%;
|
||
}
|
||
.col-lg-pull-10 {
|
||
right: 83.33333333%;
|
||
}
|
||
.col-lg-pull-9 {
|
||
right: 75%;
|
||
}
|
||
.col-lg-pull-8 {
|
||
right: 66.66666667%;
|
||
}
|
||
.col-lg-pull-7 {
|
||
right: 58.33333333%;
|
||
}
|
||
.col-lg-pull-6 {
|
||
right: 50%;
|
||
}
|
||
.col-lg-pull-5 {
|
||
right: 41.66666667%;
|
||
}
|
||
.col-lg-pull-4 {
|
||
right: 33.33333333%;
|
||
}
|
||
.col-lg-pull-3 {
|
||
right: 25%;
|
||
}
|
||
.col-lg-pull-2 {
|
||
right: 16.66666667%;
|
||
}
|
||
.col-lg-pull-1 {
|
||
right: 8.33333333%;
|
||
}
|
||
.col-lg-pull-0 {
|
||
right: auto;
|
||
}
|
||
.col-lg-push-12 {
|
||
left: 100%;
|
||
}
|
||
.col-lg-push-11 {
|
||
left: 91.66666667%;
|
||
}
|
||
.col-lg-push-10 {
|
||
left: 83.33333333%;
|
||
}
|
||
.col-lg-push-9 {
|
||
left: 75%;
|
||
}
|
||
.col-lg-push-8 {
|
||
left: 66.66666667%;
|
||
}
|
||
.col-lg-push-7 {
|
||
left: 58.33333333%;
|
||
}
|
||
.col-lg-push-6 {
|
||
left: 50%;
|
||
}
|
||
.col-lg-push-5 {
|
||
left: 41.66666667%;
|
||
}
|
||
.col-lg-push-4 {
|
||
left: 33.33333333%;
|
||
}
|
||
.col-lg-push-3 {
|
||
left: 25%;
|
||
}
|
||
.col-lg-push-2 {
|
||
left: 16.66666667%;
|
||
}
|
||
.col-lg-push-1 {
|
||
left: 8.33333333%;
|
||
}
|
||
.col-lg-push-0 {
|
||
left: auto;
|
||
}
|
||
.col-lg-offset-12 {
|
||
margin-left: 100%;
|
||
}
|
||
.col-lg-offset-11 {
|
||
margin-left: 91.66666667%;
|
||
}
|
||
.col-lg-offset-10 {
|
||
margin-left: 83.33333333%;
|
||
}
|
||
.col-lg-offset-9 {
|
||
margin-left: 75%;
|
||
}
|
||
.col-lg-offset-8 {
|
||
margin-left: 66.66666667%;
|
||
}
|
||
.col-lg-offset-7 {
|
||
margin-left: 58.33333333%;
|
||
}
|
||
.col-lg-offset-6 {
|
||
margin-left: 50%;
|
||
}
|
||
.col-lg-offset-5 {
|
||
margin-left: 41.66666667%;
|
||
}
|
||
.col-lg-offset-4 {
|
||
margin-left: 33.33333333%;
|
||
}
|
||
.col-lg-offset-3 {
|
||
margin-left: 25%;
|
||
}
|
||
.col-lg-offset-2 {
|
||
margin-left: 16.66666667%;
|
||
}
|
||
.col-lg-offset-1 {
|
||
margin-left: 8.33333333%;
|
||
}
|
||
.col-lg-offset-0 {
|
||
margin-left: 0%;
|
||
}
|
||
}
|
||
table {
|
||
background-color: transparent;
|
||
}
|
||
caption {
|
||
padding-top: 8px;
|
||
padding-bottom: 8px;
|
||
color: #777777;
|
||
text-align: left;
|
||
}
|
||
th {
|
||
text-align: left;
|
||
}
|
||
.table {
|
||
width: 100%;
|
||
max-width: 100%;
|
||
margin-bottom: 18px;
|
||
}
|
||
.table > thead > tr > th,
|
||
.table > tbody > tr > th,
|
||
.table > tfoot > tr > th,
|
||
.table > thead > tr > td,
|
||
.table > tbody > tr > td,
|
||
.table > tfoot > tr > td {
|
||
padding: 8px;
|
||
line-height: 1.42857143;
|
||
vertical-align: top;
|
||
border-top: 1px solid #ddd;
|
||
}
|
||
.table > thead > tr > th {
|
||
vertical-align: bottom;
|
||
border-bottom: 2px solid #ddd;
|
||
}
|
||
.table > caption + thead > tr:first-child > th,
|
||
.table > colgroup + thead > tr:first-child > th,
|
||
.table > thead:first-child > tr:first-child > th,
|
||
.table > caption + thead > tr:first-child > td,
|
||
.table > colgroup + thead > tr:first-child > td,
|
||
.table > thead:first-child > tr:first-child > td {
|
||
border-top: 0;
|
||
}
|
||
.table > tbody + tbody {
|
||
border-top: 2px solid #ddd;
|
||
}
|
||
.table .table {
|
||
background-color: #fff;
|
||
}
|
||
.table-condensed > thead > tr > th,
|
||
.table-condensed > tbody > tr > th,
|
||
.table-condensed > tfoot > tr > th,
|
||
.table-condensed > thead > tr > td,
|
||
.table-condensed > tbody > tr > td,
|
||
.table-condensed > tfoot > tr > td {
|
||
padding: 5px;
|
||
}
|
||
.table-bordered {
|
||
border: 1px solid #ddd;
|
||
}
|
||
.table-bordered > thead > tr > th,
|
||
.table-bordered > tbody > tr > th,
|
||
.table-bordered > tfoot > tr > th,
|
||
.table-bordered > thead > tr > td,
|
||
.table-bordered > tbody > tr > td,
|
||
.table-bordered > tfoot > tr > td {
|
||
border: 1px solid #ddd;
|
||
}
|
||
.table-bordered > thead > tr > th,
|
||
.table-bordered > thead > tr > td {
|
||
border-bottom-width: 2px;
|
||
}
|
||
.table-striped > tbody > tr:nth-of-type(odd) {
|
||
background-color: #f9f9f9;
|
||
}
|
||
.table-hover > tbody > tr:hover {
|
||
background-color: #f5f5f5;
|
||
}
|
||
table col[class*="col-"] {
|
||
position: static;
|
||
float: none;
|
||
display: table-column;
|
||
}
|
||
table td[class*="col-"],
|
||
table th[class*="col-"] {
|
||
position: static;
|
||
float: none;
|
||
display: table-cell;
|
||
}
|
||
.table > thead > tr > td.active,
|
||
.table > tbody > tr > td.active,
|
||
.table > tfoot > tr > td.active,
|
||
.table > thead > tr > th.active,
|
||
.table > tbody > tr > th.active,
|
||
.table > tfoot > tr > th.active,
|
||
.table > thead > tr.active > td,
|
||
.table > tbody > tr.active > td,
|
||
.table > tfoot > tr.active > td,
|
||
.table > thead > tr.active > th,
|
||
.table > tbody > tr.active > th,
|
||
.table > tfoot > tr.active > th {
|
||
background-color: #f5f5f5;
|
||
}
|
||
.table-hover > tbody > tr > td.active:hover,
|
||
.table-hover > tbody > tr > th.active:hover,
|
||
.table-hover > tbody > tr.active:hover > td,
|
||
.table-hover > tbody > tr:hover > .active,
|
||
.table-hover > tbody > tr.active:hover > th {
|
||
background-color: #e8e8e8;
|
||
}
|
||
.table > thead > tr > td.success,
|
||
.table > tbody > tr > td.success,
|
||
.table > tfoot > tr > td.success,
|
||
.table > thead > tr > th.success,
|
||
.table > tbody > tr > th.success,
|
||
.table > tfoot > tr > th.success,
|
||
.table > thead > tr.success > td,
|
||
.table > tbody > tr.success > td,
|
||
.table > tfoot > tr.success > td,
|
||
.table > thead > tr.success > th,
|
||
.table > tbody > tr.success > th,
|
||
.table > tfoot > tr.success > th {
|
||
background-color: #dff0d8;
|
||
}
|
||
.table-hover > tbody > tr > td.success:hover,
|
||
.table-hover > tbody > tr > th.success:hover,
|
||
.table-hover > tbody > tr.success:hover > td,
|
||
.table-hover > tbody > tr:hover > .success,
|
||
.table-hover > tbody > tr.success:hover > th {
|
||
background-color: #d0e9c6;
|
||
}
|
||
.table > thead > tr > td.info,
|
||
.table > tbody > tr > td.info,
|
||
.table > tfoot > tr > td.info,
|
||
.table > thead > tr > th.info,
|
||
.table > tbody > tr > th.info,
|
||
.table > tfoot > tr > th.info,
|
||
.table > thead > tr.info > td,
|
||
.table > tbody > tr.info > td,
|
||
.table > tfoot > tr.info > td,
|
||
.table > thead > tr.info > th,
|
||
.table > tbody > tr.info > th,
|
||
.table > tfoot > tr.info > th {
|
||
background-color: #d9edf7;
|
||
}
|
||
.table-hover > tbody > tr > td.info:hover,
|
||
.table-hover > tbody > tr > th.info:hover,
|
||
.table-hover > tbody > tr.info:hover > td,
|
||
.table-hover > tbody > tr:hover > .info,
|
||
.table-hover > tbody > tr.info:hover > th {
|
||
background-color: #c4e3f3;
|
||
}
|
||
.table > thead > tr > td.warning,
|
||
.table > tbody > tr > td.warning,
|
||
.table > tfoot > tr > td.warning,
|
||
.table > thead > tr > th.warning,
|
||
.table > tbody > tr > th.warning,
|
||
.table > tfoot > tr > th.warning,
|
||
.table > thead > tr.warning > td,
|
||
.table > tbody > tr.warning > td,
|
||
.table > tfoot > tr.warning > td,
|
||
.table > thead > tr.warning > th,
|
||
.table > tbody > tr.warning > th,
|
||
.table > tfoot > tr.warning > th {
|
||
background-color: #fcf8e3;
|
||
}
|
||
.table-hover > tbody > tr > td.warning:hover,
|
||
.table-hover > tbody > tr > th.warning:hover,
|
||
.table-hover > tbody > tr.warning:hover > td,
|
||
.table-hover > tbody > tr:hover > .warning,
|
||
.table-hover > tbody > tr.warning:hover > th {
|
||
background-color: #faf2cc;
|
||
}
|
||
.table > thead > tr > td.danger,
|
||
.table > tbody > tr > td.danger,
|
||
.table > tfoot > tr > td.danger,
|
||
.table > thead > tr > th.danger,
|
||
.table > tbody > tr > th.danger,
|
||
.table > tfoot > tr > th.danger,
|
||
.table > thead > tr.danger > td,
|
||
.table > tbody > tr.danger > td,
|
||
.table > tfoot > tr.danger > td,
|
||
.table > thead > tr.danger > th,
|
||
.table > tbody > tr.danger > th,
|
||
.table > tfoot > tr.danger > th {
|
||
background-color: #f2dede;
|
||
}
|
||
.table-hover > tbody > tr > td.danger:hover,
|
||
.table-hover > tbody > tr > th.danger:hover,
|
||
.table-hover > tbody > tr.danger:hover > td,
|
||
.table-hover > tbody > tr:hover > .danger,
|
||
.table-hover > tbody > tr.danger:hover > th {
|
||
background-color: #ebcccc;
|
||
}
|
||
.table-responsive {
|
||
overflow-x: auto;
|
||
min-height: 0.01%;
|
||
}
|
||
@media screen and (max-width: 767px) {
|
||
.table-responsive {
|
||
width: 100%;
|
||
margin-bottom: 13.5px;
|
||
overflow-y: hidden;
|
||
-ms-overflow-style: -ms-autohiding-scrollbar;
|
||
border: 1px solid #ddd;
|
||
}
|
||
.table-responsive > .table {
|
||
margin-bottom: 0;
|
||
}
|
||
.table-responsive > .table > thead > tr > th,
|
||
.table-responsive > .table > tbody > tr > th,
|
||
.table-responsive > .table > tfoot > tr > th,
|
||
.table-responsive > .table > thead > tr > td,
|
||
.table-responsive > .table > tbody > tr > td,
|
||
.table-responsive > .table > tfoot > tr > td {
|
||
white-space: nowrap;
|
||
}
|
||
.table-responsive > .table-bordered {
|
||
border: 0;
|
||
}
|
||
.table-responsive > .table-bordered > thead > tr > th:first-child,
|
||
.table-responsive > .table-bordered > tbody > tr > th:first-child,
|
||
.table-responsive > .table-bordered > tfoot > tr > th:first-child,
|
||
.table-responsive > .table-bordered > thead > tr > td:first-child,
|
||
.table-responsive > .table-bordered > tbody > tr > td:first-child,
|
||
.table-responsive > .table-bordered > tfoot > tr > td:first-child {
|
||
border-left: 0;
|
||
}
|
||
.table-responsive > .table-bordered > thead > tr > th:last-child,
|
||
.table-responsive > .table-bordered > tbody > tr > th:last-child,
|
||
.table-responsive > .table-bordered > tfoot > tr > th:last-child,
|
||
.table-responsive > .table-bordered > thead > tr > td:last-child,
|
||
.table-responsive > .table-bordered > tbody > tr > td:last-child,
|
||
.table-responsive > .table-bordered > tfoot > tr > td:last-child {
|
||
border-right: 0;
|
||
}
|
||
.table-responsive > .table-bordered > tbody > tr:last-child > th,
|
||
.table-responsive > .table-bordered > tfoot > tr:last-child > th,
|
||
.table-responsive > .table-bordered > tbody > tr:last-child > td,
|
||
.table-responsive > .table-bordered > tfoot > tr:last-child > td {
|
||
border-bottom: 0;
|
||
}
|
||
}
|
||
fieldset {
|
||
padding: 0;
|
||
margin: 0;
|
||
border: 0;
|
||
min-width: 0;
|
||
}
|
||
legend {
|
||
display: block;
|
||
width: 100%;
|
||
padding: 0;
|
||
margin-bottom: 18px;
|
||
font-size: 19.5px;
|
||
line-height: inherit;
|
||
color: #333333;
|
||
border: 0;
|
||
border-bottom: 1px solid #e5e5e5;
|
||
}
|
||
label {
|
||
display: inline-block;
|
||
max-width: 100%;
|
||
margin-bottom: 5px;
|
||
font-weight: bold;
|
||
}
|
||
input[type="search"] {
|
||
-webkit-box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
box-sizing: border-box;
|
||
}
|
||
input[type="radio"],
|
||
input[type="checkbox"] {
|
||
margin: 4px 0 0;
|
||
margin-top: 1px \9;
|
||
line-height: normal;
|
||
}
|
||
input[type="file"] {
|
||
display: block;
|
||
}
|
||
input[type="range"] {
|
||
display: block;
|
||
width: 100%;
|
||
}
|
||
select[multiple],
|
||
select[size] {
|
||
height: auto;
|
||
}
|
||
input[type="file"]:focus,
|
||
input[type="radio"]:focus,
|
||
input[type="checkbox"]:focus {
|
||
outline: 5px auto -webkit-focus-ring-color;
|
||
outline-offset: -2px;
|
||
}
|
||
output {
|
||
display: block;
|
||
padding-top: 7px;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
color: #555555;
|
||
}
|
||
.form-control {
|
||
display: block;
|
||
width: 100%;
|
||
height: 32px;
|
||
padding: 6px 12px;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
color: #555555;
|
||
background-color: #fff;
|
||
background-image: none;
|
||
border: 1px solid #ccc;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
}
|
||
.form-control:focus {
|
||
border-color: #66afe9;
|
||
outline: 0;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
}
|
||
.form-control::-moz-placeholder {
|
||
color: #999;
|
||
opacity: 1;
|
||
}
|
||
.form-control:-ms-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.form-control::-webkit-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.form-control::-ms-expand {
|
||
border: 0;
|
||
background-color: transparent;
|
||
}
|
||
.form-control[disabled],
|
||
.form-control[readonly],
|
||
fieldset[disabled] .form-control {
|
||
background-color: #eeeeee;
|
||
opacity: 1;
|
||
}
|
||
.form-control[disabled],
|
||
fieldset[disabled] .form-control {
|
||
cursor: not-allowed;
|
||
}
|
||
textarea.form-control {
|
||
height: auto;
|
||
}
|
||
input[type="search"] {
|
||
-webkit-appearance: none;
|
||
}
|
||
@media screen and (-webkit-min-device-pixel-ratio: 0) {
|
||
input[type="date"].form-control,
|
||
input[type="time"].form-control,
|
||
input[type="datetime-local"].form-control,
|
||
input[type="month"].form-control {
|
||
line-height: 32px;
|
||
}
|
||
input[type="date"].input-sm,
|
||
input[type="time"].input-sm,
|
||
input[type="datetime-local"].input-sm,
|
||
input[type="month"].input-sm,
|
||
.input-group-sm input[type="date"],
|
||
.input-group-sm input[type="time"],
|
||
.input-group-sm input[type="datetime-local"],
|
||
.input-group-sm input[type="month"] {
|
||
line-height: 30px;
|
||
}
|
||
input[type="date"].input-lg,
|
||
input[type="time"].input-lg,
|
||
input[type="datetime-local"].input-lg,
|
||
input[type="month"].input-lg,
|
||
.input-group-lg input[type="date"],
|
||
.input-group-lg input[type="time"],
|
||
.input-group-lg input[type="datetime-local"],
|
||
.input-group-lg input[type="month"] {
|
||
line-height: 45px;
|
||
}
|
||
}
|
||
.form-group {
|
||
margin-bottom: 15px;
|
||
}
|
||
.radio,
|
||
.checkbox {
|
||
position: relative;
|
||
display: block;
|
||
margin-top: 10px;
|
||
margin-bottom: 10px;
|
||
}
|
||
.radio label,
|
||
.checkbox label {
|
||
min-height: 18px;
|
||
padding-left: 20px;
|
||
margin-bottom: 0;
|
||
font-weight: normal;
|
||
cursor: pointer;
|
||
}
|
||
.radio input[type="radio"],
|
||
.radio-inline input[type="radio"],
|
||
.checkbox input[type="checkbox"],
|
||
.checkbox-inline input[type="checkbox"] {
|
||
position: absolute;
|
||
margin-left: -20px;
|
||
margin-top: 4px \9;
|
||
}
|
||
.radio + .radio,
|
||
.checkbox + .checkbox {
|
||
margin-top: -5px;
|
||
}
|
||
.radio-inline,
|
||
.checkbox-inline {
|
||
position: relative;
|
||
display: inline-block;
|
||
padding-left: 20px;
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
font-weight: normal;
|
||
cursor: pointer;
|
||
}
|
||
.radio-inline + .radio-inline,
|
||
.checkbox-inline + .checkbox-inline {
|
||
margin-top: 0;
|
||
margin-left: 10px;
|
||
}
|
||
input[type="radio"][disabled],
|
||
input[type="checkbox"][disabled],
|
||
input[type="radio"].disabled,
|
||
input[type="checkbox"].disabled,
|
||
fieldset[disabled] input[type="radio"],
|
||
fieldset[disabled] input[type="checkbox"] {
|
||
cursor: not-allowed;
|
||
}
|
||
.radio-inline.disabled,
|
||
.checkbox-inline.disabled,
|
||
fieldset[disabled] .radio-inline,
|
||
fieldset[disabled] .checkbox-inline {
|
||
cursor: not-allowed;
|
||
}
|
||
.radio.disabled label,
|
||
.checkbox.disabled label,
|
||
fieldset[disabled] .radio label,
|
||
fieldset[disabled] .checkbox label {
|
||
cursor: not-allowed;
|
||
}
|
||
.form-control-static {
|
||
padding-top: 7px;
|
||
padding-bottom: 7px;
|
||
margin-bottom: 0;
|
||
min-height: 31px;
|
||
}
|
||
.form-control-static.input-lg,
|
||
.form-control-static.input-sm {
|
||
padding-left: 0;
|
||
padding-right: 0;
|
||
}
|
||
.input-sm {
|
||
height: 30px;
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
}
|
||
select.input-sm {
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
textarea.input-sm,
|
||
select[multiple].input-sm {
|
||
height: auto;
|
||
}
|
||
.form-group-sm .form-control {
|
||
height: 30px;
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
}
|
||
.form-group-sm select.form-control {
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
.form-group-sm textarea.form-control,
|
||
.form-group-sm select[multiple].form-control {
|
||
height: auto;
|
||
}
|
||
.form-group-sm .form-control-static {
|
||
height: 30px;
|
||
min-height: 30px;
|
||
padding: 6px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
}
|
||
.input-lg {
|
||
height: 45px;
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
border-radius: 3px;
|
||
}
|
||
select.input-lg {
|
||
height: 45px;
|
||
line-height: 45px;
|
||
}
|
||
textarea.input-lg,
|
||
select[multiple].input-lg {
|
||
height: auto;
|
||
}
|
||
.form-group-lg .form-control {
|
||
height: 45px;
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
border-radius: 3px;
|
||
}
|
||
.form-group-lg select.form-control {
|
||
height: 45px;
|
||
line-height: 45px;
|
||
}
|
||
.form-group-lg textarea.form-control,
|
||
.form-group-lg select[multiple].form-control {
|
||
height: auto;
|
||
}
|
||
.form-group-lg .form-control-static {
|
||
height: 45px;
|
||
min-height: 35px;
|
||
padding: 11px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
}
|
||
.has-feedback {
|
||
position: relative;
|
||
}
|
||
.has-feedback .form-control {
|
||
padding-right: 40px;
|
||
}
|
||
.form-control-feedback {
|
||
position: absolute;
|
||
top: 0;
|
||
right: 0;
|
||
z-index: 2;
|
||
display: block;
|
||
width: 32px;
|
||
height: 32px;
|
||
line-height: 32px;
|
||
text-align: center;
|
||
pointer-events: none;
|
||
}
|
||
.input-lg + .form-control-feedback,
|
||
.input-group-lg + .form-control-feedback,
|
||
.form-group-lg .form-control + .form-control-feedback {
|
||
width: 45px;
|
||
height: 45px;
|
||
line-height: 45px;
|
||
}
|
||
.input-sm + .form-control-feedback,
|
||
.input-group-sm + .form-control-feedback,
|
||
.form-group-sm .form-control + .form-control-feedback {
|
||
width: 30px;
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
.has-success .help-block,
|
||
.has-success .control-label,
|
||
.has-success .radio,
|
||
.has-success .checkbox,
|
||
.has-success .radio-inline,
|
||
.has-success .checkbox-inline,
|
||
.has-success.radio label,
|
||
.has-success.checkbox label,
|
||
.has-success.radio-inline label,
|
||
.has-success.checkbox-inline label {
|
||
color: #3c763d;
|
||
}
|
||
.has-success .form-control {
|
||
border-color: #3c763d;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
}
|
||
.has-success .form-control:focus {
|
||
border-color: #2b542c;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
|
||
}
|
||
.has-success .input-group-addon {
|
||
color: #3c763d;
|
||
border-color: #3c763d;
|
||
background-color: #dff0d8;
|
||
}
|
||
.has-success .form-control-feedback {
|
||
color: #3c763d;
|
||
}
|
||
.has-warning .help-block,
|
||
.has-warning .control-label,
|
||
.has-warning .radio,
|
||
.has-warning .checkbox,
|
||
.has-warning .radio-inline,
|
||
.has-warning .checkbox-inline,
|
||
.has-warning.radio label,
|
||
.has-warning.checkbox label,
|
||
.has-warning.radio-inline label,
|
||
.has-warning.checkbox-inline label {
|
||
color: #8a6d3b;
|
||
}
|
||
.has-warning .form-control {
|
||
border-color: #8a6d3b;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
}
|
||
.has-warning .form-control:focus {
|
||
border-color: #66512c;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
|
||
}
|
||
.has-warning .input-group-addon {
|
||
color: #8a6d3b;
|
||
border-color: #8a6d3b;
|
||
background-color: #fcf8e3;
|
||
}
|
||
.has-warning .form-control-feedback {
|
||
color: #8a6d3b;
|
||
}
|
||
.has-error .help-block,
|
||
.has-error .control-label,
|
||
.has-error .radio,
|
||
.has-error .checkbox,
|
||
.has-error .radio-inline,
|
||
.has-error .checkbox-inline,
|
||
.has-error.radio label,
|
||
.has-error.checkbox label,
|
||
.has-error.radio-inline label,
|
||
.has-error.checkbox-inline label {
|
||
color: #a94442;
|
||
}
|
||
.has-error .form-control {
|
||
border-color: #a94442;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
}
|
||
.has-error .form-control:focus {
|
||
border-color: #843534;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
|
||
}
|
||
.has-error .input-group-addon {
|
||
color: #a94442;
|
||
border-color: #a94442;
|
||
background-color: #f2dede;
|
||
}
|
||
.has-error .form-control-feedback {
|
||
color: #a94442;
|
||
}
|
||
.has-feedback label ~ .form-control-feedback {
|
||
top: 23px;
|
||
}
|
||
.has-feedback label.sr-only ~ .form-control-feedback {
|
||
top: 0;
|
||
}
|
||
.help-block {
|
||
display: block;
|
||
margin-top: 5px;
|
||
margin-bottom: 10px;
|
||
color: #404040;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.form-inline .form-group {
|
||
display: inline-block;
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.form-inline .form-control {
|
||
display: inline-block;
|
||
width: auto;
|
||
vertical-align: middle;
|
||
}
|
||
.form-inline .form-control-static {
|
||
display: inline-block;
|
||
}
|
||
.form-inline .input-group {
|
||
display: inline-table;
|
||
vertical-align: middle;
|
||
}
|
||
.form-inline .input-group .input-group-addon,
|
||
.form-inline .input-group .input-group-btn,
|
||
.form-inline .input-group .form-control {
|
||
width: auto;
|
||
}
|
||
.form-inline .input-group > .form-control {
|
||
width: 100%;
|
||
}
|
||
.form-inline .control-label {
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.form-inline .radio,
|
||
.form-inline .checkbox {
|
||
display: inline-block;
|
||
margin-top: 0;
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.form-inline .radio label,
|
||
.form-inline .checkbox label {
|
||
padding-left: 0;
|
||
}
|
||
.form-inline .radio input[type="radio"],
|
||
.form-inline .checkbox input[type="checkbox"] {
|
||
position: relative;
|
||
margin-left: 0;
|
||
}
|
||
.form-inline .has-feedback .form-control-feedback {
|
||
top: 0;
|
||
}
|
||
}
|
||
.form-horizontal .radio,
|
||
.form-horizontal .checkbox,
|
||
.form-horizontal .radio-inline,
|
||
.form-horizontal .checkbox-inline {
|
||
margin-top: 0;
|
||
margin-bottom: 0;
|
||
padding-top: 7px;
|
||
}
|
||
.form-horizontal .radio,
|
||
.form-horizontal .checkbox {
|
||
min-height: 25px;
|
||
}
|
||
.form-horizontal .form-group {
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.form-horizontal .control-label {
|
||
text-align: right;
|
||
margin-bottom: 0;
|
||
padding-top: 7px;
|
||
}
|
||
}
|
||
.form-horizontal .has-feedback .form-control-feedback {
|
||
right: 0px;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.form-horizontal .form-group-lg .control-label {
|
||
padding-top: 11px;
|
||
font-size: 17px;
|
||
}
|
||
}
|
||
@media (min-width: 768px) {
|
||
.form-horizontal .form-group-sm .control-label {
|
||
padding-top: 6px;
|
||
font-size: 12px;
|
||
}
|
||
}
|
||
.btn {
|
||
display: inline-block;
|
||
margin-bottom: 0;
|
||
font-weight: normal;
|
||
text-align: center;
|
||
vertical-align: middle;
|
||
touch-action: manipulation;
|
||
cursor: pointer;
|
||
background-image: none;
|
||
border: 1px solid transparent;
|
||
white-space: nowrap;
|
||
padding: 6px 12px;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
border-radius: 2px;
|
||
-webkit-user-select: none;
|
||
-moz-user-select: none;
|
||
-ms-user-select: none;
|
||
user-select: none;
|
||
}
|
||
.btn:focus,
|
||
.btn:active:focus,
|
||
.btn.active:focus,
|
||
.btn.focus,
|
||
.btn:active.focus,
|
||
.btn.active.focus {
|
||
outline: 5px auto -webkit-focus-ring-color;
|
||
outline-offset: -2px;
|
||
}
|
||
.btn:hover,
|
||
.btn:focus,
|
||
.btn.focus {
|
||
color: #333;
|
||
text-decoration: none;
|
||
}
|
||
.btn:active,
|
||
.btn.active {
|
||
outline: 0;
|
||
background-image: none;
|
||
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
|
||
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
|
||
}
|
||
.btn.disabled,
|
||
.btn[disabled],
|
||
fieldset[disabled] .btn {
|
||
cursor: not-allowed;
|
||
opacity: 0.65;
|
||
filter: alpha(opacity=65);
|
||
-webkit-box-shadow: none;
|
||
box-shadow: none;
|
||
}
|
||
a.btn.disabled,
|
||
fieldset[disabled] a.btn {
|
||
pointer-events: none;
|
||
}
|
||
.btn-default {
|
||
color: #333;
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
.btn-default:focus,
|
||
.btn-default.focus {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #8c8c8c;
|
||
}
|
||
.btn-default:hover {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
.btn-default:active,
|
||
.btn-default.active,
|
||
.open > .dropdown-toggle.btn-default {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
.btn-default:active:hover,
|
||
.btn-default.active:hover,
|
||
.open > .dropdown-toggle.btn-default:hover,
|
||
.btn-default:active:focus,
|
||
.btn-default.active:focus,
|
||
.open > .dropdown-toggle.btn-default:focus,
|
||
.btn-default:active.focus,
|
||
.btn-default.active.focus,
|
||
.open > .dropdown-toggle.btn-default.focus {
|
||
color: #333;
|
||
background-color: #d4d4d4;
|
||
border-color: #8c8c8c;
|
||
}
|
||
.btn-default:active,
|
||
.btn-default.active,
|
||
.open > .dropdown-toggle.btn-default {
|
||
background-image: none;
|
||
}
|
||
.btn-default.disabled:hover,
|
||
.btn-default[disabled]:hover,
|
||
fieldset[disabled] .btn-default:hover,
|
||
.btn-default.disabled:focus,
|
||
.btn-default[disabled]:focus,
|
||
fieldset[disabled] .btn-default:focus,
|
||
.btn-default.disabled.focus,
|
||
.btn-default[disabled].focus,
|
||
fieldset[disabled] .btn-default.focus {
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
.btn-default .badge {
|
||
color: #fff;
|
||
background-color: #333;
|
||
}
|
||
.btn-primary {
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
border-color: #2e6da4;
|
||
}
|
||
.btn-primary:focus,
|
||
.btn-primary.focus {
|
||
color: #fff;
|
||
background-color: #286090;
|
||
border-color: #122b40;
|
||
}
|
||
.btn-primary:hover {
|
||
color: #fff;
|
||
background-color: #286090;
|
||
border-color: #204d74;
|
||
}
|
||
.btn-primary:active,
|
||
.btn-primary.active,
|
||
.open > .dropdown-toggle.btn-primary {
|
||
color: #fff;
|
||
background-color: #286090;
|
||
border-color: #204d74;
|
||
}
|
||
.btn-primary:active:hover,
|
||
.btn-primary.active:hover,
|
||
.open > .dropdown-toggle.btn-primary:hover,
|
||
.btn-primary:active:focus,
|
||
.btn-primary.active:focus,
|
||
.open > .dropdown-toggle.btn-primary:focus,
|
||
.btn-primary:active.focus,
|
||
.btn-primary.active.focus,
|
||
.open > .dropdown-toggle.btn-primary.focus {
|
||
color: #fff;
|
||
background-color: #204d74;
|
||
border-color: #122b40;
|
||
}
|
||
.btn-primary:active,
|
||
.btn-primary.active,
|
||
.open > .dropdown-toggle.btn-primary {
|
||
background-image: none;
|
||
}
|
||
.btn-primary.disabled:hover,
|
||
.btn-primary[disabled]:hover,
|
||
fieldset[disabled] .btn-primary:hover,
|
||
.btn-primary.disabled:focus,
|
||
.btn-primary[disabled]:focus,
|
||
fieldset[disabled] .btn-primary:focus,
|
||
.btn-primary.disabled.focus,
|
||
.btn-primary[disabled].focus,
|
||
fieldset[disabled] .btn-primary.focus {
|
||
background-color: #337ab7;
|
||
border-color: #2e6da4;
|
||
}
|
||
.btn-primary .badge {
|
||
color: #337ab7;
|
||
background-color: #fff;
|
||
}
|
||
.btn-success {
|
||
color: #fff;
|
||
background-color: #5cb85c;
|
||
border-color: #4cae4c;
|
||
}
|
||
.btn-success:focus,
|
||
.btn-success.focus {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #255625;
|
||
}
|
||
.btn-success:hover {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #398439;
|
||
}
|
||
.btn-success:active,
|
||
.btn-success.active,
|
||
.open > .dropdown-toggle.btn-success {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #398439;
|
||
}
|
||
.btn-success:active:hover,
|
||
.btn-success.active:hover,
|
||
.open > .dropdown-toggle.btn-success:hover,
|
||
.btn-success:active:focus,
|
||
.btn-success.active:focus,
|
||
.open > .dropdown-toggle.btn-success:focus,
|
||
.btn-success:active.focus,
|
||
.btn-success.active.focus,
|
||
.open > .dropdown-toggle.btn-success.focus {
|
||
color: #fff;
|
||
background-color: #398439;
|
||
border-color: #255625;
|
||
}
|
||
.btn-success:active,
|
||
.btn-success.active,
|
||
.open > .dropdown-toggle.btn-success {
|
||
background-image: none;
|
||
}
|
||
.btn-success.disabled:hover,
|
||
.btn-success[disabled]:hover,
|
||
fieldset[disabled] .btn-success:hover,
|
||
.btn-success.disabled:focus,
|
||
.btn-success[disabled]:focus,
|
||
fieldset[disabled] .btn-success:focus,
|
||
.btn-success.disabled.focus,
|
||
.btn-success[disabled].focus,
|
||
fieldset[disabled] .btn-success.focus {
|
||
background-color: #5cb85c;
|
||
border-color: #4cae4c;
|
||
}
|
||
.btn-success .badge {
|
||
color: #5cb85c;
|
||
background-color: #fff;
|
||
}
|
||
.btn-info {
|
||
color: #fff;
|
||
background-color: #5bc0de;
|
||
border-color: #46b8da;
|
||
}
|
||
.btn-info:focus,
|
||
.btn-info.focus {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #1b6d85;
|
||
}
|
||
.btn-info:hover {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #269abc;
|
||
}
|
||
.btn-info:active,
|
||
.btn-info.active,
|
||
.open > .dropdown-toggle.btn-info {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #269abc;
|
||
}
|
||
.btn-info:active:hover,
|
||
.btn-info.active:hover,
|
||
.open > .dropdown-toggle.btn-info:hover,
|
||
.btn-info:active:focus,
|
||
.btn-info.active:focus,
|
||
.open > .dropdown-toggle.btn-info:focus,
|
||
.btn-info:active.focus,
|
||
.btn-info.active.focus,
|
||
.open > .dropdown-toggle.btn-info.focus {
|
||
color: #fff;
|
||
background-color: #269abc;
|
||
border-color: #1b6d85;
|
||
}
|
||
.btn-info:active,
|
||
.btn-info.active,
|
||
.open > .dropdown-toggle.btn-info {
|
||
background-image: none;
|
||
}
|
||
.btn-info.disabled:hover,
|
||
.btn-info[disabled]:hover,
|
||
fieldset[disabled] .btn-info:hover,
|
||
.btn-info.disabled:focus,
|
||
.btn-info[disabled]:focus,
|
||
fieldset[disabled] .btn-info:focus,
|
||
.btn-info.disabled.focus,
|
||
.btn-info[disabled].focus,
|
||
fieldset[disabled] .btn-info.focus {
|
||
background-color: #5bc0de;
|
||
border-color: #46b8da;
|
||
}
|
||
.btn-info .badge {
|
||
color: #5bc0de;
|
||
background-color: #fff;
|
||
}
|
||
.btn-warning {
|
||
color: #fff;
|
||
background-color: #f0ad4e;
|
||
border-color: #eea236;
|
||
}
|
||
.btn-warning:focus,
|
||
.btn-warning.focus {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #985f0d;
|
||
}
|
||
.btn-warning:hover {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #d58512;
|
||
}
|
||
.btn-warning:active,
|
||
.btn-warning.active,
|
||
.open > .dropdown-toggle.btn-warning {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #d58512;
|
||
}
|
||
.btn-warning:active:hover,
|
||
.btn-warning.active:hover,
|
||
.open > .dropdown-toggle.btn-warning:hover,
|
||
.btn-warning:active:focus,
|
||
.btn-warning.active:focus,
|
||
.open > .dropdown-toggle.btn-warning:focus,
|
||
.btn-warning:active.focus,
|
||
.btn-warning.active.focus,
|
||
.open > .dropdown-toggle.btn-warning.focus {
|
||
color: #fff;
|
||
background-color: #d58512;
|
||
border-color: #985f0d;
|
||
}
|
||
.btn-warning:active,
|
||
.btn-warning.active,
|
||
.open > .dropdown-toggle.btn-warning {
|
||
background-image: none;
|
||
}
|
||
.btn-warning.disabled:hover,
|
||
.btn-warning[disabled]:hover,
|
||
fieldset[disabled] .btn-warning:hover,
|
||
.btn-warning.disabled:focus,
|
||
.btn-warning[disabled]:focus,
|
||
fieldset[disabled] .btn-warning:focus,
|
||
.btn-warning.disabled.focus,
|
||
.btn-warning[disabled].focus,
|
||
fieldset[disabled] .btn-warning.focus {
|
||
background-color: #f0ad4e;
|
||
border-color: #eea236;
|
||
}
|
||
.btn-warning .badge {
|
||
color: #f0ad4e;
|
||
background-color: #fff;
|
||
}
|
||
.btn-danger {
|
||
color: #fff;
|
||
background-color: #d9534f;
|
||
border-color: #d43f3a;
|
||
}
|
||
.btn-danger:focus,
|
||
.btn-danger.focus {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #761c19;
|
||
}
|
||
.btn-danger:hover {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #ac2925;
|
||
}
|
||
.btn-danger:active,
|
||
.btn-danger.active,
|
||
.open > .dropdown-toggle.btn-danger {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #ac2925;
|
||
}
|
||
.btn-danger:active:hover,
|
||
.btn-danger.active:hover,
|
||
.open > .dropdown-toggle.btn-danger:hover,
|
||
.btn-danger:active:focus,
|
||
.btn-danger.active:focus,
|
||
.open > .dropdown-toggle.btn-danger:focus,
|
||
.btn-danger:active.focus,
|
||
.btn-danger.active.focus,
|
||
.open > .dropdown-toggle.btn-danger.focus {
|
||
color: #fff;
|
||
background-color: #ac2925;
|
||
border-color: #761c19;
|
||
}
|
||
.btn-danger:active,
|
||
.btn-danger.active,
|
||
.open > .dropdown-toggle.btn-danger {
|
||
background-image: none;
|
||
}
|
||
.btn-danger.disabled:hover,
|
||
.btn-danger[disabled]:hover,
|
||
fieldset[disabled] .btn-danger:hover,
|
||
.btn-danger.disabled:focus,
|
||
.btn-danger[disabled]:focus,
|
||
fieldset[disabled] .btn-danger:focus,
|
||
.btn-danger.disabled.focus,
|
||
.btn-danger[disabled].focus,
|
||
fieldset[disabled] .btn-danger.focus {
|
||
background-color: #d9534f;
|
||
border-color: #d43f3a;
|
||
}
|
||
.btn-danger .badge {
|
||
color: #d9534f;
|
||
background-color: #fff;
|
||
}
|
||
.btn-link {
|
||
color: #337ab7;
|
||
font-weight: normal;
|
||
border-radius: 0;
|
||
}
|
||
.btn-link,
|
||
.btn-link:active,
|
||
.btn-link.active,
|
||
.btn-link[disabled],
|
||
fieldset[disabled] .btn-link {
|
||
background-color: transparent;
|
||
-webkit-box-shadow: none;
|
||
box-shadow: none;
|
||
}
|
||
.btn-link,
|
||
.btn-link:hover,
|
||
.btn-link:focus,
|
||
.btn-link:active {
|
||
border-color: transparent;
|
||
}
|
||
.btn-link:hover,
|
||
.btn-link:focus {
|
||
color: #23527c;
|
||
text-decoration: underline;
|
||
background-color: transparent;
|
||
}
|
||
.btn-link[disabled]:hover,
|
||
fieldset[disabled] .btn-link:hover,
|
||
.btn-link[disabled]:focus,
|
||
fieldset[disabled] .btn-link:focus {
|
||
color: #777777;
|
||
text-decoration: none;
|
||
}
|
||
.btn-lg,
|
||
.btn-group-lg > .btn {
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
border-radius: 3px;
|
||
}
|
||
.btn-sm,
|
||
.btn-group-sm > .btn {
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
}
|
||
.btn-xs,
|
||
.btn-group-xs > .btn {
|
||
padding: 1px 5px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
}
|
||
.btn-block {
|
||
display: block;
|
||
width: 100%;
|
||
}
|
||
.btn-block + .btn-block {
|
||
margin-top: 5px;
|
||
}
|
||
input[type="submit"].btn-block,
|
||
input[type="reset"].btn-block,
|
||
input[type="button"].btn-block {
|
||
width: 100%;
|
||
}
|
||
.fade {
|
||
opacity: 0;
|
||
-webkit-transition: opacity 0.15s linear;
|
||
-o-transition: opacity 0.15s linear;
|
||
transition: opacity 0.15s linear;
|
||
}
|
||
.fade.in {
|
||
opacity: 1;
|
||
}
|
||
.collapse {
|
||
display: none;
|
||
}
|
||
.collapse.in {
|
||
display: block;
|
||
}
|
||
tr.collapse.in {
|
||
display: table-row;
|
||
}
|
||
tbody.collapse.in {
|
||
display: table-row-group;
|
||
}
|
||
.collapsing {
|
||
position: relative;
|
||
height: 0;
|
||
overflow: hidden;
|
||
-webkit-transition-property: height, visibility;
|
||
transition-property: height, visibility;
|
||
-webkit-transition-duration: 0.35s;
|
||
transition-duration: 0.35s;
|
||
-webkit-transition-timing-function: ease;
|
||
transition-timing-function: ease;
|
||
}
|
||
.caret {
|
||
display: inline-block;
|
||
width: 0;
|
||
height: 0;
|
||
margin-left: 2px;
|
||
vertical-align: middle;
|
||
border-top: 4px dashed;
|
||
border-top: 4px solid \9;
|
||
border-right: 4px solid transparent;
|
||
border-left: 4px solid transparent;
|
||
}
|
||
.dropup,
|
||
.dropdown {
|
||
position: relative;
|
||
}
|
||
.dropdown-toggle:focus {
|
||
outline: 0;
|
||
}
|
||
.dropdown-menu {
|
||
position: absolute;
|
||
top: 100%;
|
||
left: 0;
|
||
z-index: 1000;
|
||
display: none;
|
||
float: left;
|
||
min-width: 160px;
|
||
padding: 5px 0;
|
||
margin: 2px 0 0;
|
||
list-style: none;
|
||
font-size: 13px;
|
||
text-align: left;
|
||
background-color: #fff;
|
||
border: 1px solid #ccc;
|
||
border: 1px solid rgba(0, 0, 0, 0.15);
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
|
||
box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
|
||
background-clip: padding-box;
|
||
}
|
||
.dropdown-menu.pull-right {
|
||
right: 0;
|
||
left: auto;
|
||
}
|
||
.dropdown-menu .divider {
|
||
height: 1px;
|
||
margin: 8px 0;
|
||
overflow: hidden;
|
||
background-color: #e5e5e5;
|
||
}
|
||
.dropdown-menu > li > a {
|
||
display: block;
|
||
padding: 3px 20px;
|
||
clear: both;
|
||
font-weight: normal;
|
||
line-height: 1.42857143;
|
||
color: #333333;
|
||
white-space: nowrap;
|
||
}
|
||
.dropdown-menu > li > a:hover,
|
||
.dropdown-menu > li > a:focus {
|
||
text-decoration: none;
|
||
color: #262626;
|
||
background-color: #f5f5f5;
|
||
}
|
||
.dropdown-menu > .active > a,
|
||
.dropdown-menu > .active > a:hover,
|
||
.dropdown-menu > .active > a:focus {
|
||
color: #fff;
|
||
text-decoration: none;
|
||
outline: 0;
|
||
background-color: #337ab7;
|
||
}
|
||
.dropdown-menu > .disabled > a,
|
||
.dropdown-menu > .disabled > a:hover,
|
||
.dropdown-menu > .disabled > a:focus {
|
||
color: #777777;
|
||
}
|
||
.dropdown-menu > .disabled > a:hover,
|
||
.dropdown-menu > .disabled > a:focus {
|
||
text-decoration: none;
|
||
background-color: transparent;
|
||
background-image: none;
|
||
filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
|
||
cursor: not-allowed;
|
||
}
|
||
.open > .dropdown-menu {
|
||
display: block;
|
||
}
|
||
.open > a {
|
||
outline: 0;
|
||
}
|
||
.dropdown-menu-right {
|
||
left: auto;
|
||
right: 0;
|
||
}
|
||
.dropdown-menu-left {
|
||
left: 0;
|
||
right: auto;
|
||
}
|
||
.dropdown-header {
|
||
display: block;
|
||
padding: 3px 20px;
|
||
font-size: 12px;
|
||
line-height: 1.42857143;
|
||
color: #777777;
|
||
white-space: nowrap;
|
||
}
|
||
.dropdown-backdrop {
|
||
position: fixed;
|
||
left: 0;
|
||
right: 0;
|
||
bottom: 0;
|
||
top: 0;
|
||
z-index: 990;
|
||
}
|
||
.pull-right > .dropdown-menu {
|
||
right: 0;
|
||
left: auto;
|
||
}
|
||
.dropup .caret,
|
||
.navbar-fixed-bottom .dropdown .caret {
|
||
border-top: 0;
|
||
border-bottom: 4px dashed;
|
||
border-bottom: 4px solid \9;
|
||
content: "";
|
||
}
|
||
.dropup .dropdown-menu,
|
||
.navbar-fixed-bottom .dropdown .dropdown-menu {
|
||
top: auto;
|
||
bottom: 100%;
|
||
margin-bottom: 2px;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-right .dropdown-menu {
|
||
left: auto;
|
||
right: 0;
|
||
}
|
||
.navbar-right .dropdown-menu-left {
|
||
left: 0;
|
||
right: auto;
|
||
}
|
||
}
|
||
.btn-group,
|
||
.btn-group-vertical {
|
||
position: relative;
|
||
display: inline-block;
|
||
vertical-align: middle;
|
||
}
|
||
.btn-group > .btn,
|
||
.btn-group-vertical > .btn {
|
||
position: relative;
|
||
float: left;
|
||
}
|
||
.btn-group > .btn:hover,
|
||
.btn-group-vertical > .btn:hover,
|
||
.btn-group > .btn:focus,
|
||
.btn-group-vertical > .btn:focus,
|
||
.btn-group > .btn:active,
|
||
.btn-group-vertical > .btn:active,
|
||
.btn-group > .btn.active,
|
||
.btn-group-vertical > .btn.active {
|
||
z-index: 2;
|
||
}
|
||
.btn-group .btn + .btn,
|
||
.btn-group .btn + .btn-group,
|
||
.btn-group .btn-group + .btn,
|
||
.btn-group .btn-group + .btn-group {
|
||
margin-left: -1px;
|
||
}
|
||
.btn-toolbar {
|
||
margin-left: -5px;
|
||
}
|
||
.btn-toolbar .btn,
|
||
.btn-toolbar .btn-group,
|
||
.btn-toolbar .input-group {
|
||
float: left;
|
||
}
|
||
.btn-toolbar > .btn,
|
||
.btn-toolbar > .btn-group,
|
||
.btn-toolbar > .input-group {
|
||
margin-left: 5px;
|
||
}
|
||
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
|
||
border-radius: 0;
|
||
}
|
||
.btn-group > .btn:first-child {
|
||
margin-left: 0;
|
||
}
|
||
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
|
||
border-bottom-right-radius: 0;
|
||
border-top-right-radius: 0;
|
||
}
|
||
.btn-group > .btn:last-child:not(:first-child),
|
||
.btn-group > .dropdown-toggle:not(:first-child) {
|
||
border-bottom-left-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.btn-group > .btn-group {
|
||
float: left;
|
||
}
|
||
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
|
||
border-radius: 0;
|
||
}
|
||
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
|
||
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
|
||
border-bottom-right-radius: 0;
|
||
border-top-right-radius: 0;
|
||
}
|
||
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
|
||
border-bottom-left-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.btn-group .dropdown-toggle:active,
|
||
.btn-group.open .dropdown-toggle {
|
||
outline: 0;
|
||
}
|
||
.btn-group > .btn + .dropdown-toggle {
|
||
padding-left: 8px;
|
||
padding-right: 8px;
|
||
}
|
||
.btn-group > .btn-lg + .dropdown-toggle {
|
||
padding-left: 12px;
|
||
padding-right: 12px;
|
||
}
|
||
.btn-group.open .dropdown-toggle {
|
||
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
|
||
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
|
||
}
|
||
.btn-group.open .dropdown-toggle.btn-link {
|
||
-webkit-box-shadow: none;
|
||
box-shadow: none;
|
||
}
|
||
.btn .caret {
|
||
margin-left: 0;
|
||
}
|
||
.btn-lg .caret {
|
||
border-width: 5px 5px 0;
|
||
border-bottom-width: 0;
|
||
}
|
||
.dropup .btn-lg .caret {
|
||
border-width: 0 5px 5px;
|
||
}
|
||
.btn-group-vertical > .btn,
|
||
.btn-group-vertical > .btn-group,
|
||
.btn-group-vertical > .btn-group > .btn {
|
||
display: block;
|
||
float: none;
|
||
width: 100%;
|
||
max-width: 100%;
|
||
}
|
||
.btn-group-vertical > .btn-group > .btn {
|
||
float: none;
|
||
}
|
||
.btn-group-vertical > .btn + .btn,
|
||
.btn-group-vertical > .btn + .btn-group,
|
||
.btn-group-vertical > .btn-group + .btn,
|
||
.btn-group-vertical > .btn-group + .btn-group {
|
||
margin-top: -1px;
|
||
margin-left: 0;
|
||
}
|
||
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
|
||
border-radius: 0;
|
||
}
|
||
.btn-group-vertical > .btn:first-child:not(:last-child) {
|
||
border-top-right-radius: 2px;
|
||
border-top-left-radius: 2px;
|
||
border-bottom-right-radius: 0;
|
||
border-bottom-left-radius: 0;
|
||
}
|
||
.btn-group-vertical > .btn:last-child:not(:first-child) {
|
||
border-top-right-radius: 0;
|
||
border-top-left-radius: 0;
|
||
border-bottom-right-radius: 2px;
|
||
border-bottom-left-radius: 2px;
|
||
}
|
||
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
|
||
border-radius: 0;
|
||
}
|
||
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
|
||
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
|
||
border-bottom-right-radius: 0;
|
||
border-bottom-left-radius: 0;
|
||
}
|
||
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
|
||
border-top-right-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.btn-group-justified {
|
||
display: table;
|
||
width: 100%;
|
||
table-layout: fixed;
|
||
border-collapse: separate;
|
||
}
|
||
.btn-group-justified > .btn,
|
||
.btn-group-justified > .btn-group {
|
||
float: none;
|
||
display: table-cell;
|
||
width: 1%;
|
||
}
|
||
.btn-group-justified > .btn-group .btn {
|
||
width: 100%;
|
||
}
|
||
.btn-group-justified > .btn-group .dropdown-menu {
|
||
left: auto;
|
||
}
|
||
[data-toggle="buttons"] > .btn input[type="radio"],
|
||
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
|
||
[data-toggle="buttons"] > .btn input[type="checkbox"],
|
||
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
|
||
position: absolute;
|
||
clip: rect(0, 0, 0, 0);
|
||
pointer-events: none;
|
||
}
|
||
.input-group {
|
||
position: relative;
|
||
display: table;
|
||
border-collapse: separate;
|
||
}
|
||
.input-group[class*="col-"] {
|
||
float: none;
|
||
padding-left: 0;
|
||
padding-right: 0;
|
||
}
|
||
.input-group .form-control {
|
||
position: relative;
|
||
z-index: 2;
|
||
float: left;
|
||
width: 100%;
|
||
margin-bottom: 0;
|
||
}
|
||
.input-group .form-control:focus {
|
||
z-index: 3;
|
||
}
|
||
.input-group-lg > .form-control,
|
||
.input-group-lg > .input-group-addon,
|
||
.input-group-lg > .input-group-btn > .btn {
|
||
height: 45px;
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
border-radius: 3px;
|
||
}
|
||
select.input-group-lg > .form-control,
|
||
select.input-group-lg > .input-group-addon,
|
||
select.input-group-lg > .input-group-btn > .btn {
|
||
height: 45px;
|
||
line-height: 45px;
|
||
}
|
||
textarea.input-group-lg > .form-control,
|
||
textarea.input-group-lg > .input-group-addon,
|
||
textarea.input-group-lg > .input-group-btn > .btn,
|
||
select[multiple].input-group-lg > .form-control,
|
||
select[multiple].input-group-lg > .input-group-addon,
|
||
select[multiple].input-group-lg > .input-group-btn > .btn {
|
||
height: auto;
|
||
}
|
||
.input-group-sm > .form-control,
|
||
.input-group-sm > .input-group-addon,
|
||
.input-group-sm > .input-group-btn > .btn {
|
||
height: 30px;
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
}
|
||
select.input-group-sm > .form-control,
|
||
select.input-group-sm > .input-group-addon,
|
||
select.input-group-sm > .input-group-btn > .btn {
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
textarea.input-group-sm > .form-control,
|
||
textarea.input-group-sm > .input-group-addon,
|
||
textarea.input-group-sm > .input-group-btn > .btn,
|
||
select[multiple].input-group-sm > .form-control,
|
||
select[multiple].input-group-sm > .input-group-addon,
|
||
select[multiple].input-group-sm > .input-group-btn > .btn {
|
||
height: auto;
|
||
}
|
||
.input-group-addon,
|
||
.input-group-btn,
|
||
.input-group .form-control {
|
||
display: table-cell;
|
||
}
|
||
.input-group-addon:not(:first-child):not(:last-child),
|
||
.input-group-btn:not(:first-child):not(:last-child),
|
||
.input-group .form-control:not(:first-child):not(:last-child) {
|
||
border-radius: 0;
|
||
}
|
||
.input-group-addon,
|
||
.input-group-btn {
|
||
width: 1%;
|
||
white-space: nowrap;
|
||
vertical-align: middle;
|
||
}
|
||
.input-group-addon {
|
||
padding: 6px 12px;
|
||
font-size: 13px;
|
||
font-weight: normal;
|
||
line-height: 1;
|
||
color: #555555;
|
||
text-align: center;
|
||
background-color: #eeeeee;
|
||
border: 1px solid #ccc;
|
||
border-radius: 2px;
|
||
}
|
||
.input-group-addon.input-sm {
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
border-radius: 1px;
|
||
}
|
||
.input-group-addon.input-lg {
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
border-radius: 3px;
|
||
}
|
||
.input-group-addon input[type="radio"],
|
||
.input-group-addon input[type="checkbox"] {
|
||
margin-top: 0;
|
||
}
|
||
.input-group .form-control:first-child,
|
||
.input-group-addon:first-child,
|
||
.input-group-btn:first-child > .btn,
|
||
.input-group-btn:first-child > .btn-group > .btn,
|
||
.input-group-btn:first-child > .dropdown-toggle,
|
||
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
|
||
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
|
||
border-bottom-right-radius: 0;
|
||
border-top-right-radius: 0;
|
||
}
|
||
.input-group-addon:first-child {
|
||
border-right: 0;
|
||
}
|
||
.input-group .form-control:last-child,
|
||
.input-group-addon:last-child,
|
||
.input-group-btn:last-child > .btn,
|
||
.input-group-btn:last-child > .btn-group > .btn,
|
||
.input-group-btn:last-child > .dropdown-toggle,
|
||
.input-group-btn:first-child > .btn:not(:first-child),
|
||
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
|
||
border-bottom-left-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.input-group-addon:last-child {
|
||
border-left: 0;
|
||
}
|
||
.input-group-btn {
|
||
position: relative;
|
||
font-size: 0;
|
||
white-space: nowrap;
|
||
}
|
||
.input-group-btn > .btn {
|
||
position: relative;
|
||
}
|
||
.input-group-btn > .btn + .btn {
|
||
margin-left: -1px;
|
||
}
|
||
.input-group-btn > .btn:hover,
|
||
.input-group-btn > .btn:focus,
|
||
.input-group-btn > .btn:active {
|
||
z-index: 2;
|
||
}
|
||
.input-group-btn:first-child > .btn,
|
||
.input-group-btn:first-child > .btn-group {
|
||
margin-right: -1px;
|
||
}
|
||
.input-group-btn:last-child > .btn,
|
||
.input-group-btn:last-child > .btn-group {
|
||
z-index: 2;
|
||
margin-left: -1px;
|
||
}
|
||
.nav {
|
||
margin-bottom: 0;
|
||
padding-left: 0;
|
||
list-style: none;
|
||
}
|
||
.nav > li {
|
||
position: relative;
|
||
display: block;
|
||
}
|
||
.nav > li > a {
|
||
position: relative;
|
||
display: block;
|
||
padding: 10px 15px;
|
||
}
|
||
.nav > li > a:hover,
|
||
.nav > li > a:focus {
|
||
text-decoration: none;
|
||
background-color: #eeeeee;
|
||
}
|
||
.nav > li.disabled > a {
|
||
color: #777777;
|
||
}
|
||
.nav > li.disabled > a:hover,
|
||
.nav > li.disabled > a:focus {
|
||
color: #777777;
|
||
text-decoration: none;
|
||
background-color: transparent;
|
||
cursor: not-allowed;
|
||
}
|
||
.nav .open > a,
|
||
.nav .open > a:hover,
|
||
.nav .open > a:focus {
|
||
background-color: #eeeeee;
|
||
border-color: #337ab7;
|
||
}
|
||
.nav .nav-divider {
|
||
height: 1px;
|
||
margin: 8px 0;
|
||
overflow: hidden;
|
||
background-color: #e5e5e5;
|
||
}
|
||
.nav > li > a > img {
|
||
max-width: none;
|
||
}
|
||
.nav-tabs {
|
||
border-bottom: 1px solid #ddd;
|
||
}
|
||
.nav-tabs > li {
|
||
float: left;
|
||
margin-bottom: -1px;
|
||
}
|
||
.nav-tabs > li > a {
|
||
margin-right: 2px;
|
||
line-height: 1.42857143;
|
||
border: 1px solid transparent;
|
||
border-radius: 2px 2px 0 0;
|
||
}
|
||
.nav-tabs > li > a:hover {
|
||
border-color: #eeeeee #eeeeee #ddd;
|
||
}
|
||
.nav-tabs > li.active > a,
|
||
.nav-tabs > li.active > a:hover,
|
||
.nav-tabs > li.active > a:focus {
|
||
color: #555555;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
border-bottom-color: transparent;
|
||
cursor: default;
|
||
}
|
||
.nav-tabs.nav-justified {
|
||
width: 100%;
|
||
border-bottom: 0;
|
||
}
|
||
.nav-tabs.nav-justified > li {
|
||
float: none;
|
||
}
|
||
.nav-tabs.nav-justified > li > a {
|
||
text-align: center;
|
||
margin-bottom: 5px;
|
||
}
|
||
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
|
||
top: auto;
|
||
left: auto;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.nav-tabs.nav-justified > li {
|
||
display: table-cell;
|
||
width: 1%;
|
||
}
|
||
.nav-tabs.nav-justified > li > a {
|
||
margin-bottom: 0;
|
||
}
|
||
}
|
||
.nav-tabs.nav-justified > li > a {
|
||
margin-right: 0;
|
||
border-radius: 2px;
|
||
}
|
||
.nav-tabs.nav-justified > .active > a,
|
||
.nav-tabs.nav-justified > .active > a:hover,
|
||
.nav-tabs.nav-justified > .active > a:focus {
|
||
border: 1px solid #ddd;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.nav-tabs.nav-justified > li > a {
|
||
border-bottom: 1px solid #ddd;
|
||
border-radius: 2px 2px 0 0;
|
||
}
|
||
.nav-tabs.nav-justified > .active > a,
|
||
.nav-tabs.nav-justified > .active > a:hover,
|
||
.nav-tabs.nav-justified > .active > a:focus {
|
||
border-bottom-color: #fff;
|
||
}
|
||
}
|
||
.nav-pills > li {
|
||
float: left;
|
||
}
|
||
.nav-pills > li > a {
|
||
border-radius: 2px;
|
||
}
|
||
.nav-pills > li + li {
|
||
margin-left: 2px;
|
||
}
|
||
.nav-pills > li.active > a,
|
||
.nav-pills > li.active > a:hover,
|
||
.nav-pills > li.active > a:focus {
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
}
|
||
.nav-stacked > li {
|
||
float: none;
|
||
}
|
||
.nav-stacked > li + li {
|
||
margin-top: 2px;
|
||
margin-left: 0;
|
||
}
|
||
.nav-justified {
|
||
width: 100%;
|
||
}
|
||
.nav-justified > li {
|
||
float: none;
|
||
}
|
||
.nav-justified > li > a {
|
||
text-align: center;
|
||
margin-bottom: 5px;
|
||
}
|
||
.nav-justified > .dropdown .dropdown-menu {
|
||
top: auto;
|
||
left: auto;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.nav-justified > li {
|
||
display: table-cell;
|
||
width: 1%;
|
||
}
|
||
.nav-justified > li > a {
|
||
margin-bottom: 0;
|
||
}
|
||
}
|
||
.nav-tabs-justified {
|
||
border-bottom: 0;
|
||
}
|
||
.nav-tabs-justified > li > a {
|
||
margin-right: 0;
|
||
border-radius: 2px;
|
||
}
|
||
.nav-tabs-justified > .active > a,
|
||
.nav-tabs-justified > .active > a:hover,
|
||
.nav-tabs-justified > .active > a:focus {
|
||
border: 1px solid #ddd;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.nav-tabs-justified > li > a {
|
||
border-bottom: 1px solid #ddd;
|
||
border-radius: 2px 2px 0 0;
|
||
}
|
||
.nav-tabs-justified > .active > a,
|
||
.nav-tabs-justified > .active > a:hover,
|
||
.nav-tabs-justified > .active > a:focus {
|
||
border-bottom-color: #fff;
|
||
}
|
||
}
|
||
.tab-content > .tab-pane {
|
||
display: none;
|
||
}
|
||
.tab-content > .active {
|
||
display: block;
|
||
}
|
||
.nav-tabs .dropdown-menu {
|
||
margin-top: -1px;
|
||
border-top-right-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.navbar {
|
||
position: relative;
|
||
min-height: 30px;
|
||
margin-bottom: 18px;
|
||
border: 1px solid transparent;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar {
|
||
border-radius: 2px;
|
||
}
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-header {
|
||
float: left;
|
||
}
|
||
}
|
||
.navbar-collapse {
|
||
overflow-x: visible;
|
||
padding-right: 0px;
|
||
padding-left: 0px;
|
||
border-top: 1px solid transparent;
|
||
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
|
||
-webkit-overflow-scrolling: touch;
|
||
}
|
||
.navbar-collapse.in {
|
||
overflow-y: auto;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-collapse {
|
||
width: auto;
|
||
border-top: 0;
|
||
box-shadow: none;
|
||
}
|
||
.navbar-collapse.collapse {
|
||
display: block !important;
|
||
height: auto !important;
|
||
padding-bottom: 0;
|
||
overflow: visible !important;
|
||
}
|
||
.navbar-collapse.in {
|
||
overflow-y: visible;
|
||
}
|
||
.navbar-fixed-top .navbar-collapse,
|
||
.navbar-static-top .navbar-collapse,
|
||
.navbar-fixed-bottom .navbar-collapse {
|
||
padding-left: 0;
|
||
padding-right: 0;
|
||
}
|
||
}
|
||
.navbar-fixed-top .navbar-collapse,
|
||
.navbar-fixed-bottom .navbar-collapse {
|
||
max-height: 340px;
|
||
}
|
||
@media (max-device-width: 540px) and (orientation: landscape) {
|
||
.navbar-fixed-top .navbar-collapse,
|
||
.navbar-fixed-bottom .navbar-collapse {
|
||
max-height: 200px;
|
||
}
|
||
}
|
||
.container > .navbar-header,
|
||
.container-fluid > .navbar-header,
|
||
.container > .navbar-collapse,
|
||
.container-fluid > .navbar-collapse {
|
||
margin-right: 0px;
|
||
margin-left: 0px;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.container > .navbar-header,
|
||
.container-fluid > .navbar-header,
|
||
.container > .navbar-collapse,
|
||
.container-fluid > .navbar-collapse {
|
||
margin-right: 0;
|
||
margin-left: 0;
|
||
}
|
||
}
|
||
.navbar-static-top {
|
||
z-index: 1000;
|
||
border-width: 0 0 1px;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-static-top {
|
||
border-radius: 0;
|
||
}
|
||
}
|
||
.navbar-fixed-top,
|
||
.navbar-fixed-bottom {
|
||
position: fixed;
|
||
right: 0;
|
||
left: 0;
|
||
z-index: 1030;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-fixed-top,
|
||
.navbar-fixed-bottom {
|
||
border-radius: 0;
|
||
}
|
||
}
|
||
.navbar-fixed-top {
|
||
top: 0;
|
||
border-width: 0 0 1px;
|
||
}
|
||
.navbar-fixed-bottom {
|
||
bottom: 0;
|
||
margin-bottom: 0;
|
||
border-width: 1px 0 0;
|
||
}
|
||
.navbar-brand {
|
||
float: left;
|
||
padding: 6px 0px;
|
||
font-size: 17px;
|
||
line-height: 18px;
|
||
height: 30px;
|
||
}
|
||
.navbar-brand:hover,
|
||
.navbar-brand:focus {
|
||
text-decoration: none;
|
||
}
|
||
.navbar-brand > img {
|
||
display: block;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar > .container .navbar-brand,
|
||
.navbar > .container-fluid .navbar-brand {
|
||
margin-left: 0px;
|
||
}
|
||
}
|
||
.navbar-toggle {
|
||
position: relative;
|
||
float: right;
|
||
margin-right: 0px;
|
||
padding: 9px 10px;
|
||
margin-top: -2px;
|
||
margin-bottom: -2px;
|
||
background-color: transparent;
|
||
background-image: none;
|
||
border: 1px solid transparent;
|
||
border-radius: 2px;
|
||
}
|
||
.navbar-toggle:focus {
|
||
outline: 0;
|
||
}
|
||
.navbar-toggle .icon-bar {
|
||
display: block;
|
||
width: 22px;
|
||
height: 2px;
|
||
border-radius: 1px;
|
||
}
|
||
.navbar-toggle .icon-bar + .icon-bar {
|
||
margin-top: 4px;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-toggle {
|
||
display: none;
|
||
}
|
||
}
|
||
.navbar-nav {
|
||
margin: 3px 0px;
|
||
}
|
||
.navbar-nav > li > a {
|
||
padding-top: 10px;
|
||
padding-bottom: 10px;
|
||
line-height: 18px;
|
||
}
|
||
@media (max-width: 540px) {
|
||
.navbar-nav .open .dropdown-menu {
|
||
position: static;
|
||
float: none;
|
||
width: auto;
|
||
margin-top: 0;
|
||
background-color: transparent;
|
||
border: 0;
|
||
box-shadow: none;
|
||
}
|
||
.navbar-nav .open .dropdown-menu > li > a,
|
||
.navbar-nav .open .dropdown-menu .dropdown-header {
|
||
padding: 5px 15px 5px 25px;
|
||
}
|
||
.navbar-nav .open .dropdown-menu > li > a {
|
||
line-height: 18px;
|
||
}
|
||
.navbar-nav .open .dropdown-menu > li > a:hover,
|
||
.navbar-nav .open .dropdown-menu > li > a:focus {
|
||
background-image: none;
|
||
}
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-nav {
|
||
float: left;
|
||
margin: 0;
|
||
}
|
||
.navbar-nav > li {
|
||
float: left;
|
||
}
|
||
.navbar-nav > li > a {
|
||
padding-top: 6px;
|
||
padding-bottom: 6px;
|
||
}
|
||
}
|
||
.navbar-form {
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
padding: 10px 0px;
|
||
border-top: 1px solid transparent;
|
||
border-bottom: 1px solid transparent;
|
||
-webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
|
||
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
|
||
margin-top: -1px;
|
||
margin-bottom: -1px;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.navbar-form .form-group {
|
||
display: inline-block;
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.navbar-form .form-control {
|
||
display: inline-block;
|
||
width: auto;
|
||
vertical-align: middle;
|
||
}
|
||
.navbar-form .form-control-static {
|
||
display: inline-block;
|
||
}
|
||
.navbar-form .input-group {
|
||
display: inline-table;
|
||
vertical-align: middle;
|
||
}
|
||
.navbar-form .input-group .input-group-addon,
|
||
.navbar-form .input-group .input-group-btn,
|
||
.navbar-form .input-group .form-control {
|
||
width: auto;
|
||
}
|
||
.navbar-form .input-group > .form-control {
|
||
width: 100%;
|
||
}
|
||
.navbar-form .control-label {
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.navbar-form .radio,
|
||
.navbar-form .checkbox {
|
||
display: inline-block;
|
||
margin-top: 0;
|
||
margin-bottom: 0;
|
||
vertical-align: middle;
|
||
}
|
||
.navbar-form .radio label,
|
||
.navbar-form .checkbox label {
|
||
padding-left: 0;
|
||
}
|
||
.navbar-form .radio input[type="radio"],
|
||
.navbar-form .checkbox input[type="checkbox"] {
|
||
position: relative;
|
||
margin-left: 0;
|
||
}
|
||
.navbar-form .has-feedback .form-control-feedback {
|
||
top: 0;
|
||
}
|
||
}
|
||
@media (max-width: 540px) {
|
||
.navbar-form .form-group {
|
||
margin-bottom: 5px;
|
||
}
|
||
.navbar-form .form-group:last-child {
|
||
margin-bottom: 0;
|
||
}
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-form {
|
||
width: auto;
|
||
border: 0;
|
||
margin-left: 0;
|
||
margin-right: 0;
|
||
padding-top: 0;
|
||
padding-bottom: 0;
|
||
-webkit-box-shadow: none;
|
||
box-shadow: none;
|
||
}
|
||
}
|
||
.navbar-nav > li > .dropdown-menu {
|
||
margin-top: 0;
|
||
border-top-right-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
|
||
margin-bottom: 0;
|
||
border-top-right-radius: 2px;
|
||
border-top-left-radius: 2px;
|
||
border-bottom-right-radius: 0;
|
||
border-bottom-left-radius: 0;
|
||
}
|
||
.navbar-btn {
|
||
margin-top: -1px;
|
||
margin-bottom: -1px;
|
||
}
|
||
.navbar-btn.btn-sm {
|
||
margin-top: 0px;
|
||
margin-bottom: 0px;
|
||
}
|
||
.navbar-btn.btn-xs {
|
||
margin-top: 4px;
|
||
margin-bottom: 4px;
|
||
}
|
||
.navbar-text {
|
||
margin-top: 6px;
|
||
margin-bottom: 6px;
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-text {
|
||
float: left;
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
}
|
||
}
|
||
@media (min-width: 541px) {
|
||
.navbar-left {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.navbar-right {
|
||
float: right !important;
|
||
float: right;
|
||
margin-right: 0px;
|
||
}
|
||
.navbar-right ~ .navbar-right {
|
||
margin-right: 0;
|
||
}
|
||
}
|
||
.navbar-default {
|
||
background-color: #f8f8f8;
|
||
border-color: #e7e7e7;
|
||
}
|
||
.navbar-default .navbar-brand {
|
||
color: #777;
|
||
}
|
||
.navbar-default .navbar-brand:hover,
|
||
.navbar-default .navbar-brand:focus {
|
||
color: #5e5e5e;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-default .navbar-text {
|
||
color: #777;
|
||
}
|
||
.navbar-default .navbar-nav > li > a {
|
||
color: #777;
|
||
}
|
||
.navbar-default .navbar-nav > li > a:hover,
|
||
.navbar-default .navbar-nav > li > a:focus {
|
||
color: #333;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-default .navbar-nav > .active > a,
|
||
.navbar-default .navbar-nav > .active > a:hover,
|
||
.navbar-default .navbar-nav > .active > a:focus {
|
||
color: #555;
|
||
background-color: #e7e7e7;
|
||
}
|
||
.navbar-default .navbar-nav > .disabled > a,
|
||
.navbar-default .navbar-nav > .disabled > a:hover,
|
||
.navbar-default .navbar-nav > .disabled > a:focus {
|
||
color: #ccc;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-default .navbar-toggle {
|
||
border-color: #ddd;
|
||
}
|
||
.navbar-default .navbar-toggle:hover,
|
||
.navbar-default .navbar-toggle:focus {
|
||
background-color: #ddd;
|
||
}
|
||
.navbar-default .navbar-toggle .icon-bar {
|
||
background-color: #888;
|
||
}
|
||
.navbar-default .navbar-collapse,
|
||
.navbar-default .navbar-form {
|
||
border-color: #e7e7e7;
|
||
}
|
||
.navbar-default .navbar-nav > .open > a,
|
||
.navbar-default .navbar-nav > .open > a:hover,
|
||
.navbar-default .navbar-nav > .open > a:focus {
|
||
background-color: #e7e7e7;
|
||
color: #555;
|
||
}
|
||
@media (max-width: 540px) {
|
||
.navbar-default .navbar-nav .open .dropdown-menu > li > a {
|
||
color: #777;
|
||
}
|
||
.navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
|
||
.navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
|
||
color: #333;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .active > a,
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
|
||
color: #555;
|
||
background-color: #e7e7e7;
|
||
}
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
|
||
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
|
||
color: #ccc;
|
||
background-color: transparent;
|
||
}
|
||
}
|
||
.navbar-default .navbar-link {
|
||
color: #777;
|
||
}
|
||
.navbar-default .navbar-link:hover {
|
||
color: #333;
|
||
}
|
||
.navbar-default .btn-link {
|
||
color: #777;
|
||
}
|
||
.navbar-default .btn-link:hover,
|
||
.navbar-default .btn-link:focus {
|
||
color: #333;
|
||
}
|
||
.navbar-default .btn-link[disabled]:hover,
|
||
fieldset[disabled] .navbar-default .btn-link:hover,
|
||
.navbar-default .btn-link[disabled]:focus,
|
||
fieldset[disabled] .navbar-default .btn-link:focus {
|
||
color: #ccc;
|
||
}
|
||
.navbar-inverse {
|
||
background-color: #222;
|
||
border-color: #080808;
|
||
}
|
||
.navbar-inverse .navbar-brand {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .navbar-brand:hover,
|
||
.navbar-inverse .navbar-brand:focus {
|
||
color: #fff;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-inverse .navbar-text {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .navbar-nav > li > a {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .navbar-nav > li > a:hover,
|
||
.navbar-inverse .navbar-nav > li > a:focus {
|
||
color: #fff;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-inverse .navbar-nav > .active > a,
|
||
.navbar-inverse .navbar-nav > .active > a:hover,
|
||
.navbar-inverse .navbar-nav > .active > a:focus {
|
||
color: #fff;
|
||
background-color: #080808;
|
||
}
|
||
.navbar-inverse .navbar-nav > .disabled > a,
|
||
.navbar-inverse .navbar-nav > .disabled > a:hover,
|
||
.navbar-inverse .navbar-nav > .disabled > a:focus {
|
||
color: #444;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-inverse .navbar-toggle {
|
||
border-color: #333;
|
||
}
|
||
.navbar-inverse .navbar-toggle:hover,
|
||
.navbar-inverse .navbar-toggle:focus {
|
||
background-color: #333;
|
||
}
|
||
.navbar-inverse .navbar-toggle .icon-bar {
|
||
background-color: #fff;
|
||
}
|
||
.navbar-inverse .navbar-collapse,
|
||
.navbar-inverse .navbar-form {
|
||
border-color: #101010;
|
||
}
|
||
.navbar-inverse .navbar-nav > .open > a,
|
||
.navbar-inverse .navbar-nav > .open > a:hover,
|
||
.navbar-inverse .navbar-nav > .open > a:focus {
|
||
background-color: #080808;
|
||
color: #fff;
|
||
}
|
||
@media (max-width: 540px) {
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
|
||
border-color: #080808;
|
||
}
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu .divider {
|
||
background-color: #080808;
|
||
}
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
|
||
color: #fff;
|
||
background-color: transparent;
|
||
}
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
|
||
color: #fff;
|
||
background-color: #080808;
|
||
}
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
|
||
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
|
||
color: #444;
|
||
background-color: transparent;
|
||
}
|
||
}
|
||
.navbar-inverse .navbar-link {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .navbar-link:hover {
|
||
color: #fff;
|
||
}
|
||
.navbar-inverse .btn-link {
|
||
color: #9d9d9d;
|
||
}
|
||
.navbar-inverse .btn-link:hover,
|
||
.navbar-inverse .btn-link:focus {
|
||
color: #fff;
|
||
}
|
||
.navbar-inverse .btn-link[disabled]:hover,
|
||
fieldset[disabled] .navbar-inverse .btn-link:hover,
|
||
.navbar-inverse .btn-link[disabled]:focus,
|
||
fieldset[disabled] .navbar-inverse .btn-link:focus {
|
||
color: #444;
|
||
}
|
||
.breadcrumb {
|
||
padding: 8px 15px;
|
||
margin-bottom: 18px;
|
||
list-style: none;
|
||
background-color: #f5f5f5;
|
||
border-radius: 2px;
|
||
}
|
||
.breadcrumb > li {
|
||
display: inline-block;
|
||
}
|
||
.breadcrumb > li + li:before {
|
||
content: "/\00a0";
|
||
padding: 0 5px;
|
||
color: #5e5e5e;
|
||
}
|
||
.breadcrumb > .active {
|
||
color: #777777;
|
||
}
|
||
.pagination {
|
||
display: inline-block;
|
||
padding-left: 0;
|
||
margin: 18px 0;
|
||
border-radius: 2px;
|
||
}
|
||
.pagination > li {
|
||
display: inline;
|
||
}
|
||
.pagination > li > a,
|
||
.pagination > li > span {
|
||
position: relative;
|
||
float: left;
|
||
padding: 6px 12px;
|
||
line-height: 1.42857143;
|
||
text-decoration: none;
|
||
color: #337ab7;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
margin-left: -1px;
|
||
}
|
||
.pagination > li:first-child > a,
|
||
.pagination > li:first-child > span {
|
||
margin-left: 0;
|
||
border-bottom-left-radius: 2px;
|
||
border-top-left-radius: 2px;
|
||
}
|
||
.pagination > li:last-child > a,
|
||
.pagination > li:last-child > span {
|
||
border-bottom-right-radius: 2px;
|
||
border-top-right-radius: 2px;
|
||
}
|
||
.pagination > li > a:hover,
|
||
.pagination > li > span:hover,
|
||
.pagination > li > a:focus,
|
||
.pagination > li > span:focus {
|
||
z-index: 2;
|
||
color: #23527c;
|
||
background-color: #eeeeee;
|
||
border-color: #ddd;
|
||
}
|
||
.pagination > .active > a,
|
||
.pagination > .active > span,
|
||
.pagination > .active > a:hover,
|
||
.pagination > .active > span:hover,
|
||
.pagination > .active > a:focus,
|
||
.pagination > .active > span:focus {
|
||
z-index: 3;
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
border-color: #337ab7;
|
||
cursor: default;
|
||
}
|
||
.pagination > .disabled > span,
|
||
.pagination > .disabled > span:hover,
|
||
.pagination > .disabled > span:focus,
|
||
.pagination > .disabled > a,
|
||
.pagination > .disabled > a:hover,
|
||
.pagination > .disabled > a:focus {
|
||
color: #777777;
|
||
background-color: #fff;
|
||
border-color: #ddd;
|
||
cursor: not-allowed;
|
||
}
|
||
.pagination-lg > li > a,
|
||
.pagination-lg > li > span {
|
||
padding: 10px 16px;
|
||
font-size: 17px;
|
||
line-height: 1.3333333;
|
||
}
|
||
.pagination-lg > li:first-child > a,
|
||
.pagination-lg > li:first-child > span {
|
||
border-bottom-left-radius: 3px;
|
||
border-top-left-radius: 3px;
|
||
}
|
||
.pagination-lg > li:last-child > a,
|
||
.pagination-lg > li:last-child > span {
|
||
border-bottom-right-radius: 3px;
|
||
border-top-right-radius: 3px;
|
||
}
|
||
.pagination-sm > li > a,
|
||
.pagination-sm > li > span {
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
}
|
||
.pagination-sm > li:first-child > a,
|
||
.pagination-sm > li:first-child > span {
|
||
border-bottom-left-radius: 1px;
|
||
border-top-left-radius: 1px;
|
||
}
|
||
.pagination-sm > li:last-child > a,
|
||
.pagination-sm > li:last-child > span {
|
||
border-bottom-right-radius: 1px;
|
||
border-top-right-radius: 1px;
|
||
}
|
||
.pager {
|
||
padding-left: 0;
|
||
margin: 18px 0;
|
||
list-style: none;
|
||
text-align: center;
|
||
}
|
||
.pager li {
|
||
display: inline;
|
||
}
|
||
.pager li > a,
|
||
.pager li > span {
|
||
display: inline-block;
|
||
padding: 5px 14px;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
border-radius: 15px;
|
||
}
|
||
.pager li > a:hover,
|
||
.pager li > a:focus {
|
||
text-decoration: none;
|
||
background-color: #eeeeee;
|
||
}
|
||
.pager .next > a,
|
||
.pager .next > span {
|
||
float: right;
|
||
}
|
||
.pager .previous > a,
|
||
.pager .previous > span {
|
||
float: left;
|
||
}
|
||
.pager .disabled > a,
|
||
.pager .disabled > a:hover,
|
||
.pager .disabled > a:focus,
|
||
.pager .disabled > span {
|
||
color: #777777;
|
||
background-color: #fff;
|
||
cursor: not-allowed;
|
||
}
|
||
.label {
|
||
display: inline;
|
||
padding: .2em .6em .3em;
|
||
font-size: 75%;
|
||
font-weight: bold;
|
||
line-height: 1;
|
||
color: #fff;
|
||
text-align: center;
|
||
white-space: nowrap;
|
||
vertical-align: baseline;
|
||
border-radius: .25em;
|
||
}
|
||
a.label:hover,
|
||
a.label:focus {
|
||
color: #fff;
|
||
text-decoration: none;
|
||
cursor: pointer;
|
||
}
|
||
.label:empty {
|
||
display: none;
|
||
}
|
||
.btn .label {
|
||
position: relative;
|
||
top: -1px;
|
||
}
|
||
.label-default {
|
||
background-color: #777777;
|
||
}
|
||
.label-default[href]:hover,
|
||
.label-default[href]:focus {
|
||
background-color: #5e5e5e;
|
||
}
|
||
.label-primary {
|
||
background-color: #337ab7;
|
||
}
|
||
.label-primary[href]:hover,
|
||
.label-primary[href]:focus {
|
||
background-color: #286090;
|
||
}
|
||
.label-success {
|
||
background-color: #5cb85c;
|
||
}
|
||
.label-success[href]:hover,
|
||
.label-success[href]:focus {
|
||
background-color: #449d44;
|
||
}
|
||
.label-info {
|
||
background-color: #5bc0de;
|
||
}
|
||
.label-info[href]:hover,
|
||
.label-info[href]:focus {
|
||
background-color: #31b0d5;
|
||
}
|
||
.label-warning {
|
||
background-color: #f0ad4e;
|
||
}
|
||
.label-warning[href]:hover,
|
||
.label-warning[href]:focus {
|
||
background-color: #ec971f;
|
||
}
|
||
.label-danger {
|
||
background-color: #d9534f;
|
||
}
|
||
.label-danger[href]:hover,
|
||
.label-danger[href]:focus {
|
||
background-color: #c9302c;
|
||
}
|
||
.badge {
|
||
display: inline-block;
|
||
min-width: 10px;
|
||
padding: 3px 7px;
|
||
font-size: 12px;
|
||
font-weight: bold;
|
||
color: #fff;
|
||
line-height: 1;
|
||
vertical-align: middle;
|
||
white-space: nowrap;
|
||
text-align: center;
|
||
background-color: #777777;
|
||
border-radius: 10px;
|
||
}
|
||
.badge:empty {
|
||
display: none;
|
||
}
|
||
.btn .badge {
|
||
position: relative;
|
||
top: -1px;
|
||
}
|
||
.btn-xs .badge,
|
||
.btn-group-xs > .btn .badge {
|
||
top: 0;
|
||
padding: 1px 5px;
|
||
}
|
||
a.badge:hover,
|
||
a.badge:focus {
|
||
color: #fff;
|
||
text-decoration: none;
|
||
cursor: pointer;
|
||
}
|
||
.list-group-item.active > .badge,
|
||
.nav-pills > .active > a > .badge {
|
||
color: #337ab7;
|
||
background-color: #fff;
|
||
}
|
||
.list-group-item > .badge {
|
||
float: right;
|
||
}
|
||
.list-group-item > .badge + .badge {
|
||
margin-right: 5px;
|
||
}
|
||
.nav-pills > li > a > .badge {
|
||
margin-left: 3px;
|
||
}
|
||
.jumbotron {
|
||
padding-top: 30px;
|
||
padding-bottom: 30px;
|
||
margin-bottom: 30px;
|
||
color: inherit;
|
||
background-color: #eeeeee;
|
||
}
|
||
.jumbotron h1,
|
||
.jumbotron .h1 {
|
||
color: inherit;
|
||
}
|
||
.jumbotron p {
|
||
margin-bottom: 15px;
|
||
font-size: 20px;
|
||
font-weight: 200;
|
||
}
|
||
.jumbotron > hr {
|
||
border-top-color: #d5d5d5;
|
||
}
|
||
.container .jumbotron,
|
||
.container-fluid .jumbotron {
|
||
border-radius: 3px;
|
||
padding-left: 0px;
|
||
padding-right: 0px;
|
||
}
|
||
.jumbotron .container {
|
||
max-width: 100%;
|
||
}
|
||
@media screen and (min-width: 768px) {
|
||
.jumbotron {
|
||
padding-top: 48px;
|
||
padding-bottom: 48px;
|
||
}
|
||
.container .jumbotron,
|
||
.container-fluid .jumbotron {
|
||
padding-left: 60px;
|
||
padding-right: 60px;
|
||
}
|
||
.jumbotron h1,
|
||
.jumbotron .h1 {
|
||
font-size: 59px;
|
||
}
|
||
}
|
||
.thumbnail {
|
||
display: block;
|
||
padding: 4px;
|
||
margin-bottom: 18px;
|
||
line-height: 1.42857143;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
border-radius: 2px;
|
||
-webkit-transition: border 0.2s ease-in-out;
|
||
-o-transition: border 0.2s ease-in-out;
|
||
transition: border 0.2s ease-in-out;
|
||
}
|
||
.thumbnail > img,
|
||
.thumbnail a > img {
|
||
margin-left: auto;
|
||
margin-right: auto;
|
||
}
|
||
a.thumbnail:hover,
|
||
a.thumbnail:focus,
|
||
a.thumbnail.active {
|
||
border-color: #337ab7;
|
||
}
|
||
.thumbnail .caption {
|
||
padding: 9px;
|
||
color: #000;
|
||
}
|
||
.alert {
|
||
padding: 15px;
|
||
margin-bottom: 18px;
|
||
border: 1px solid transparent;
|
||
border-radius: 2px;
|
||
}
|
||
.alert h4 {
|
||
margin-top: 0;
|
||
color: inherit;
|
||
}
|
||
.alert .alert-link {
|
||
font-weight: bold;
|
||
}
|
||
.alert > p,
|
||
.alert > ul {
|
||
margin-bottom: 0;
|
||
}
|
||
.alert > p + p {
|
||
margin-top: 5px;
|
||
}
|
||
.alert-dismissable,
|
||
.alert-dismissible {
|
||
padding-right: 35px;
|
||
}
|
||
.alert-dismissable .close,
|
||
.alert-dismissible .close {
|
||
position: relative;
|
||
top: -2px;
|
||
right: -21px;
|
||
color: inherit;
|
||
}
|
||
.alert-success {
|
||
background-color: #dff0d8;
|
||
border-color: #d6e9c6;
|
||
color: #3c763d;
|
||
}
|
||
.alert-success hr {
|
||
border-top-color: #c9e2b3;
|
||
}
|
||
.alert-success .alert-link {
|
||
color: #2b542c;
|
||
}
|
||
.alert-info {
|
||
background-color: #d9edf7;
|
||
border-color: #bce8f1;
|
||
color: #31708f;
|
||
}
|
||
.alert-info hr {
|
||
border-top-color: #a6e1ec;
|
||
}
|
||
.alert-info .alert-link {
|
||
color: #245269;
|
||
}
|
||
.alert-warning {
|
||
background-color: #fcf8e3;
|
||
border-color: #faebcc;
|
||
color: #8a6d3b;
|
||
}
|
||
.alert-warning hr {
|
||
border-top-color: #f7e1b5;
|
||
}
|
||
.alert-warning .alert-link {
|
||
color: #66512c;
|
||
}
|
||
.alert-danger {
|
||
background-color: #f2dede;
|
||
border-color: #ebccd1;
|
||
color: #a94442;
|
||
}
|
||
.alert-danger hr {
|
||
border-top-color: #e4b9c0;
|
||
}
|
||
.alert-danger .alert-link {
|
||
color: #843534;
|
||
}
|
||
@-webkit-keyframes progress-bar-stripes {
|
||
from {
|
||
background-position: 40px 0;
|
||
}
|
||
to {
|
||
background-position: 0 0;
|
||
}
|
||
}
|
||
@keyframes progress-bar-stripes {
|
||
from {
|
||
background-position: 40px 0;
|
||
}
|
||
to {
|
||
background-position: 0 0;
|
||
}
|
||
}
|
||
.progress {
|
||
overflow: hidden;
|
||
height: 18px;
|
||
margin-bottom: 18px;
|
||
background-color: #f5f5f5;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
|
||
box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
|
||
}
|
||
.progress-bar {
|
||
float: left;
|
||
width: 0%;
|
||
height: 100%;
|
||
font-size: 12px;
|
||
line-height: 18px;
|
||
color: #fff;
|
||
text-align: center;
|
||
background-color: #337ab7;
|
||
-webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
|
||
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
|
||
-webkit-transition: width 0.6s ease;
|
||
-o-transition: width 0.6s ease;
|
||
transition: width 0.6s ease;
|
||
}
|
||
.progress-striped .progress-bar,
|
||
.progress-bar-striped {
|
||
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-size: 40px 40px;
|
||
}
|
||
.progress.active .progress-bar,
|
||
.progress-bar.active {
|
||
-webkit-animation: progress-bar-stripes 2s linear infinite;
|
||
-o-animation: progress-bar-stripes 2s linear infinite;
|
||
animation: progress-bar-stripes 2s linear infinite;
|
||
}
|
||
.progress-bar-success {
|
||
background-color: #5cb85c;
|
||
}
|
||
.progress-striped .progress-bar-success {
|
||
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
}
|
||
.progress-bar-info {
|
||
background-color: #5bc0de;
|
||
}
|
||
.progress-striped .progress-bar-info {
|
||
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
}
|
||
.progress-bar-warning {
|
||
background-color: #f0ad4e;
|
||
}
|
||
.progress-striped .progress-bar-warning {
|
||
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
}
|
||
.progress-bar-danger {
|
||
background-color: #d9534f;
|
||
}
|
||
.progress-striped .progress-bar-danger {
|
||
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
|
||
}
|
||
.media {
|
||
margin-top: 15px;
|
||
}
|
||
.media:first-child {
|
||
margin-top: 0;
|
||
}
|
||
.media,
|
||
.media-body {
|
||
zoom: 1;
|
||
overflow: hidden;
|
||
}
|
||
.media-body {
|
||
width: 10000px;
|
||
}
|
||
.media-object {
|
||
display: block;
|
||
}
|
||
.media-object.img-thumbnail {
|
||
max-width: none;
|
||
}
|
||
.media-right,
|
||
.media > .pull-right {
|
||
padding-left: 10px;
|
||
}
|
||
.media-left,
|
||
.media > .pull-left {
|
||
padding-right: 10px;
|
||
}
|
||
.media-left,
|
||
.media-right,
|
||
.media-body {
|
||
display: table-cell;
|
||
vertical-align: top;
|
||
}
|
||
.media-middle {
|
||
vertical-align: middle;
|
||
}
|
||
.media-bottom {
|
||
vertical-align: bottom;
|
||
}
|
||
.media-heading {
|
||
margin-top: 0;
|
||
margin-bottom: 5px;
|
||
}
|
||
.media-list {
|
||
padding-left: 0;
|
||
list-style: none;
|
||
}
|
||
.list-group {
|
||
margin-bottom: 20px;
|
||
padding-left: 0;
|
||
}
|
||
.list-group-item {
|
||
position: relative;
|
||
display: block;
|
||
padding: 10px 15px;
|
||
margin-bottom: -1px;
|
||
background-color: #fff;
|
||
border: 1px solid #ddd;
|
||
}
|
||
.list-group-item:first-child {
|
||
border-top-right-radius: 2px;
|
||
border-top-left-radius: 2px;
|
||
}
|
||
.list-group-item:last-child {
|
||
margin-bottom: 0;
|
||
border-bottom-right-radius: 2px;
|
||
border-bottom-left-radius: 2px;
|
||
}
|
||
a.list-group-item,
|
||
button.list-group-item {
|
||
color: #555;
|
||
}
|
||
a.list-group-item .list-group-item-heading,
|
||
button.list-group-item .list-group-item-heading {
|
||
color: #333;
|
||
}
|
||
a.list-group-item:hover,
|
||
button.list-group-item:hover,
|
||
a.list-group-item:focus,
|
||
button.list-group-item:focus {
|
||
text-decoration: none;
|
||
color: #555;
|
||
background-color: #f5f5f5;
|
||
}
|
||
button.list-group-item {
|
||
width: 100%;
|
||
text-align: left;
|
||
}
|
||
.list-group-item.disabled,
|
||
.list-group-item.disabled:hover,
|
||
.list-group-item.disabled:focus {
|
||
background-color: #eeeeee;
|
||
color: #777777;
|
||
cursor: not-allowed;
|
||
}
|
||
.list-group-item.disabled .list-group-item-heading,
|
||
.list-group-item.disabled:hover .list-group-item-heading,
|
||
.list-group-item.disabled:focus .list-group-item-heading {
|
||
color: inherit;
|
||
}
|
||
.list-group-item.disabled .list-group-item-text,
|
||
.list-group-item.disabled:hover .list-group-item-text,
|
||
.list-group-item.disabled:focus .list-group-item-text {
|
||
color: #777777;
|
||
}
|
||
.list-group-item.active,
|
||
.list-group-item.active:hover,
|
||
.list-group-item.active:focus {
|
||
z-index: 2;
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
border-color: #337ab7;
|
||
}
|
||
.list-group-item.active .list-group-item-heading,
|
||
.list-group-item.active:hover .list-group-item-heading,
|
||
.list-group-item.active:focus .list-group-item-heading,
|
||
.list-group-item.active .list-group-item-heading > small,
|
||
.list-group-item.active:hover .list-group-item-heading > small,
|
||
.list-group-item.active:focus .list-group-item-heading > small,
|
||
.list-group-item.active .list-group-item-heading > .small,
|
||
.list-group-item.active:hover .list-group-item-heading > .small,
|
||
.list-group-item.active:focus .list-group-item-heading > .small {
|
||
color: inherit;
|
||
}
|
||
.list-group-item.active .list-group-item-text,
|
||
.list-group-item.active:hover .list-group-item-text,
|
||
.list-group-item.active:focus .list-group-item-text {
|
||
color: #c7ddef;
|
||
}
|
||
.list-group-item-success {
|
||
color: #3c763d;
|
||
background-color: #dff0d8;
|
||
}
|
||
a.list-group-item-success,
|
||
button.list-group-item-success {
|
||
color: #3c763d;
|
||
}
|
||
a.list-group-item-success .list-group-item-heading,
|
||
button.list-group-item-success .list-group-item-heading {
|
||
color: inherit;
|
||
}
|
||
a.list-group-item-success:hover,
|
||
button.list-group-item-success:hover,
|
||
a.list-group-item-success:focus,
|
||
button.list-group-item-success:focus {
|
||
color: #3c763d;
|
||
background-color: #d0e9c6;
|
||
}
|
||
a.list-group-item-success.active,
|
||
button.list-group-item-success.active,
|
||
a.list-group-item-success.active:hover,
|
||
button.list-group-item-success.active:hover,
|
||
a.list-group-item-success.active:focus,
|
||
button.list-group-item-success.active:focus {
|
||
color: #fff;
|
||
background-color: #3c763d;
|
||
border-color: #3c763d;
|
||
}
|
||
.list-group-item-info {
|
||
color: #31708f;
|
||
background-color: #d9edf7;
|
||
}
|
||
a.list-group-item-info,
|
||
button.list-group-item-info {
|
||
color: #31708f;
|
||
}
|
||
a.list-group-item-info .list-group-item-heading,
|
||
button.list-group-item-info .list-group-item-heading {
|
||
color: inherit;
|
||
}
|
||
a.list-group-item-info:hover,
|
||
button.list-group-item-info:hover,
|
||
a.list-group-item-info:focus,
|
||
button.list-group-item-info:focus {
|
||
color: #31708f;
|
||
background-color: #c4e3f3;
|
||
}
|
||
a.list-group-item-info.active,
|
||
button.list-group-item-info.active,
|
||
a.list-group-item-info.active:hover,
|
||
button.list-group-item-info.active:hover,
|
||
a.list-group-item-info.active:focus,
|
||
button.list-group-item-info.active:focus {
|
||
color: #fff;
|
||
background-color: #31708f;
|
||
border-color: #31708f;
|
||
}
|
||
.list-group-item-warning {
|
||
color: #8a6d3b;
|
||
background-color: #fcf8e3;
|
||
}
|
||
a.list-group-item-warning,
|
||
button.list-group-item-warning {
|
||
color: #8a6d3b;
|
||
}
|
||
a.list-group-item-warning .list-group-item-heading,
|
||
button.list-group-item-warning .list-group-item-heading {
|
||
color: inherit;
|
||
}
|
||
a.list-group-item-warning:hover,
|
||
button.list-group-item-warning:hover,
|
||
a.list-group-item-warning:focus,
|
||
button.list-group-item-warning:focus {
|
||
color: #8a6d3b;
|
||
background-color: #faf2cc;
|
||
}
|
||
a.list-group-item-warning.active,
|
||
button.list-group-item-warning.active,
|
||
a.list-group-item-warning.active:hover,
|
||
button.list-group-item-warning.active:hover,
|
||
a.list-group-item-warning.active:focus,
|
||
button.list-group-item-warning.active:focus {
|
||
color: #fff;
|
||
background-color: #8a6d3b;
|
||
border-color: #8a6d3b;
|
||
}
|
||
.list-group-item-danger {
|
||
color: #a94442;
|
||
background-color: #f2dede;
|
||
}
|
||
a.list-group-item-danger,
|
||
button.list-group-item-danger {
|
||
color: #a94442;
|
||
}
|
||
a.list-group-item-danger .list-group-item-heading,
|
||
button.list-group-item-danger .list-group-item-heading {
|
||
color: inherit;
|
||
}
|
||
a.list-group-item-danger:hover,
|
||
button.list-group-item-danger:hover,
|
||
a.list-group-item-danger:focus,
|
||
button.list-group-item-danger:focus {
|
||
color: #a94442;
|
||
background-color: #ebcccc;
|
||
}
|
||
a.list-group-item-danger.active,
|
||
button.list-group-item-danger.active,
|
||
a.list-group-item-danger.active:hover,
|
||
button.list-group-item-danger.active:hover,
|
||
a.list-group-item-danger.active:focus,
|
||
button.list-group-item-danger.active:focus {
|
||
color: #fff;
|
||
background-color: #a94442;
|
||
border-color: #a94442;
|
||
}
|
||
.list-group-item-heading {
|
||
margin-top: 0;
|
||
margin-bottom: 5px;
|
||
}
|
||
.list-group-item-text {
|
||
margin-bottom: 0;
|
||
line-height: 1.3;
|
||
}
|
||
.panel {
|
||
margin-bottom: 18px;
|
||
background-color: #fff;
|
||
border: 1px solid transparent;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
|
||
box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
|
||
}
|
||
.panel-body {
|
||
padding: 15px;
|
||
}
|
||
.panel-heading {
|
||
padding: 10px 15px;
|
||
border-bottom: 1px solid transparent;
|
||
border-top-right-radius: 1px;
|
||
border-top-left-radius: 1px;
|
||
}
|
||
.panel-heading > .dropdown .dropdown-toggle {
|
||
color: inherit;
|
||
}
|
||
.panel-title {
|
||
margin-top: 0;
|
||
margin-bottom: 0;
|
||
font-size: 15px;
|
||
color: inherit;
|
||
}
|
||
.panel-title > a,
|
||
.panel-title > small,
|
||
.panel-title > .small,
|
||
.panel-title > small > a,
|
||
.panel-title > .small > a {
|
||
color: inherit;
|
||
}
|
||
.panel-footer {
|
||
padding: 10px 15px;
|
||
background-color: #f5f5f5;
|
||
border-top: 1px solid #ddd;
|
||
border-bottom-right-radius: 1px;
|
||
border-bottom-left-radius: 1px;
|
||
}
|
||
.panel > .list-group,
|
||
.panel > .panel-collapse > .list-group {
|
||
margin-bottom: 0;
|
||
}
|
||
.panel > .list-group .list-group-item,
|
||
.panel > .panel-collapse > .list-group .list-group-item {
|
||
border-width: 1px 0;
|
||
border-radius: 0;
|
||
}
|
||
.panel > .list-group:first-child .list-group-item:first-child,
|
||
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
|
||
border-top: 0;
|
||
border-top-right-radius: 1px;
|
||
border-top-left-radius: 1px;
|
||
}
|
||
.panel > .list-group:last-child .list-group-item:last-child,
|
||
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
|
||
border-bottom: 0;
|
||
border-bottom-right-radius: 1px;
|
||
border-bottom-left-radius: 1px;
|
||
}
|
||
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
|
||
border-top-right-radius: 0;
|
||
border-top-left-radius: 0;
|
||
}
|
||
.panel-heading + .list-group .list-group-item:first-child {
|
||
border-top-width: 0;
|
||
}
|
||
.list-group + .panel-footer {
|
||
border-top-width: 0;
|
||
}
|
||
.panel > .table,
|
||
.panel > .table-responsive > .table,
|
||
.panel > .panel-collapse > .table {
|
||
margin-bottom: 0;
|
||
}
|
||
.panel > .table caption,
|
||
.panel > .table-responsive > .table caption,
|
||
.panel > .panel-collapse > .table caption {
|
||
padding-left: 15px;
|
||
padding-right: 15px;
|
||
}
|
||
.panel > .table:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child {
|
||
border-top-right-radius: 1px;
|
||
border-top-left-radius: 1px;
|
||
}
|
||
.panel > .table:first-child > thead:first-child > tr:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
|
||
.panel > .table:first-child > tbody:first-child > tr:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
|
||
border-top-left-radius: 1px;
|
||
border-top-right-radius: 1px;
|
||
}
|
||
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
|
||
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
|
||
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
|
||
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
|
||
border-top-left-radius: 1px;
|
||
}
|
||
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
|
||
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
|
||
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
|
||
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
|
||
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
|
||
border-top-right-radius: 1px;
|
||
}
|
||
.panel > .table:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child {
|
||
border-bottom-right-radius: 1px;
|
||
border-bottom-left-radius: 1px;
|
||
}
|
||
.panel > .table:last-child > tbody:last-child > tr:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
|
||
.panel > .table:last-child > tfoot:last-child > tr:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
|
||
border-bottom-left-radius: 1px;
|
||
border-bottom-right-radius: 1px;
|
||
}
|
||
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
|
||
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
|
||
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
|
||
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
|
||
border-bottom-left-radius: 1px;
|
||
}
|
||
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
|
||
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
|
||
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
|
||
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
|
||
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
|
||
border-bottom-right-radius: 1px;
|
||
}
|
||
.panel > .panel-body + .table,
|
||
.panel > .panel-body + .table-responsive,
|
||
.panel > .table + .panel-body,
|
||
.panel > .table-responsive + .panel-body {
|
||
border-top: 1px solid #ddd;
|
||
}
|
||
.panel > .table > tbody:first-child > tr:first-child th,
|
||
.panel > .table > tbody:first-child > tr:first-child td {
|
||
border-top: 0;
|
||
}
|
||
.panel > .table-bordered,
|
||
.panel > .table-responsive > .table-bordered {
|
||
border: 0;
|
||
}
|
||
.panel > .table-bordered > thead > tr > th:first-child,
|
||
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
|
||
.panel > .table-bordered > tbody > tr > th:first-child,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
|
||
.panel > .table-bordered > tfoot > tr > th:first-child,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
|
||
.panel > .table-bordered > thead > tr > td:first-child,
|
||
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
|
||
.panel > .table-bordered > tbody > tr > td:first-child,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
|
||
.panel > .table-bordered > tfoot > tr > td:first-child,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
|
||
border-left: 0;
|
||
}
|
||
.panel > .table-bordered > thead > tr > th:last-child,
|
||
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
|
||
.panel > .table-bordered > tbody > tr > th:last-child,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
|
||
.panel > .table-bordered > tfoot > tr > th:last-child,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
|
||
.panel > .table-bordered > thead > tr > td:last-child,
|
||
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
|
||
.panel > .table-bordered > tbody > tr > td:last-child,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
|
||
.panel > .table-bordered > tfoot > tr > td:last-child,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
|
||
border-right: 0;
|
||
}
|
||
.panel > .table-bordered > thead > tr:first-child > td,
|
||
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
|
||
.panel > .table-bordered > tbody > tr:first-child > td,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
|
||
.panel > .table-bordered > thead > tr:first-child > th,
|
||
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
|
||
.panel > .table-bordered > tbody > tr:first-child > th,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
|
||
border-bottom: 0;
|
||
}
|
||
.panel > .table-bordered > tbody > tr:last-child > td,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
|
||
.panel > .table-bordered > tfoot > tr:last-child > td,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
|
||
.panel > .table-bordered > tbody > tr:last-child > th,
|
||
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
|
||
.panel > .table-bordered > tfoot > tr:last-child > th,
|
||
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
|
||
border-bottom: 0;
|
||
}
|
||
.panel > .table-responsive {
|
||
border: 0;
|
||
margin-bottom: 0;
|
||
}
|
||
.panel-group {
|
||
margin-bottom: 18px;
|
||
}
|
||
.panel-group .panel {
|
||
margin-bottom: 0;
|
||
border-radius: 2px;
|
||
}
|
||
.panel-group .panel + .panel {
|
||
margin-top: 5px;
|
||
}
|
||
.panel-group .panel-heading {
|
||
border-bottom: 0;
|
||
}
|
||
.panel-group .panel-heading + .panel-collapse > .panel-body,
|
||
.panel-group .panel-heading + .panel-collapse > .list-group {
|
||
border-top: 1px solid #ddd;
|
||
}
|
||
.panel-group .panel-footer {
|
||
border-top: 0;
|
||
}
|
||
.panel-group .panel-footer + .panel-collapse .panel-body {
|
||
border-bottom: 1px solid #ddd;
|
||
}
|
||
.panel-default {
|
||
border-color: #ddd;
|
||
}
|
||
.panel-default > .panel-heading {
|
||
color: #333333;
|
||
background-color: #f5f5f5;
|
||
border-color: #ddd;
|
||
}
|
||
.panel-default > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #ddd;
|
||
}
|
||
.panel-default > .panel-heading .badge {
|
||
color: #f5f5f5;
|
||
background-color: #333333;
|
||
}
|
||
.panel-default > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #ddd;
|
||
}
|
||
.panel-primary {
|
||
border-color: #337ab7;
|
||
}
|
||
.panel-primary > .panel-heading {
|
||
color: #fff;
|
||
background-color: #337ab7;
|
||
border-color: #337ab7;
|
||
}
|
||
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #337ab7;
|
||
}
|
||
.panel-primary > .panel-heading .badge {
|
||
color: #337ab7;
|
||
background-color: #fff;
|
||
}
|
||
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #337ab7;
|
||
}
|
||
.panel-success {
|
||
border-color: #d6e9c6;
|
||
}
|
||
.panel-success > .panel-heading {
|
||
color: #3c763d;
|
||
background-color: #dff0d8;
|
||
border-color: #d6e9c6;
|
||
}
|
||
.panel-success > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #d6e9c6;
|
||
}
|
||
.panel-success > .panel-heading .badge {
|
||
color: #dff0d8;
|
||
background-color: #3c763d;
|
||
}
|
||
.panel-success > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #d6e9c6;
|
||
}
|
||
.panel-info {
|
||
border-color: #bce8f1;
|
||
}
|
||
.panel-info > .panel-heading {
|
||
color: #31708f;
|
||
background-color: #d9edf7;
|
||
border-color: #bce8f1;
|
||
}
|
||
.panel-info > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #bce8f1;
|
||
}
|
||
.panel-info > .panel-heading .badge {
|
||
color: #d9edf7;
|
||
background-color: #31708f;
|
||
}
|
||
.panel-info > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #bce8f1;
|
||
}
|
||
.panel-warning {
|
||
border-color: #faebcc;
|
||
}
|
||
.panel-warning > .panel-heading {
|
||
color: #8a6d3b;
|
||
background-color: #fcf8e3;
|
||
border-color: #faebcc;
|
||
}
|
||
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #faebcc;
|
||
}
|
||
.panel-warning > .panel-heading .badge {
|
||
color: #fcf8e3;
|
||
background-color: #8a6d3b;
|
||
}
|
||
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #faebcc;
|
||
}
|
||
.panel-danger {
|
||
border-color: #ebccd1;
|
||
}
|
||
.panel-danger > .panel-heading {
|
||
color: #a94442;
|
||
background-color: #f2dede;
|
||
border-color: #ebccd1;
|
||
}
|
||
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
|
||
border-top-color: #ebccd1;
|
||
}
|
||
.panel-danger > .panel-heading .badge {
|
||
color: #f2dede;
|
||
background-color: #a94442;
|
||
}
|
||
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
|
||
border-bottom-color: #ebccd1;
|
||
}
|
||
.embed-responsive {
|
||
position: relative;
|
||
display: block;
|
||
height: 0;
|
||
padding: 0;
|
||
overflow: hidden;
|
||
}
|
||
.embed-responsive .embed-responsive-item,
|
||
.embed-responsive iframe,
|
||
.embed-responsive embed,
|
||
.embed-responsive object,
|
||
.embed-responsive video {
|
||
position: absolute;
|
||
top: 0;
|
||
left: 0;
|
||
bottom: 0;
|
||
height: 100%;
|
||
width: 100%;
|
||
border: 0;
|
||
}
|
||
.embed-responsive-16by9 {
|
||
padding-bottom: 56.25%;
|
||
}
|
||
.embed-responsive-4by3 {
|
||
padding-bottom: 75%;
|
||
}
|
||
.well {
|
||
min-height: 20px;
|
||
padding: 19px;
|
||
margin-bottom: 20px;
|
||
background-color: #f5f5f5;
|
||
border: 1px solid #e3e3e3;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
|
||
}
|
||
.well blockquote {
|
||
border-color: #ddd;
|
||
border-color: rgba(0, 0, 0, 0.15);
|
||
}
|
||
.well-lg {
|
||
padding: 24px;
|
||
border-radius: 3px;
|
||
}
|
||
.well-sm {
|
||
padding: 9px;
|
||
border-radius: 1px;
|
||
}
|
||
.close {
|
||
float: right;
|
||
font-size: 19.5px;
|
||
font-weight: bold;
|
||
line-height: 1;
|
||
color: #000;
|
||
text-shadow: 0 1px 0 #fff;
|
||
opacity: 0.2;
|
||
filter: alpha(opacity=20);
|
||
}
|
||
.close:hover,
|
||
.close:focus {
|
||
color: #000;
|
||
text-decoration: none;
|
||
cursor: pointer;
|
||
opacity: 0.5;
|
||
filter: alpha(opacity=50);
|
||
}
|
||
button.close {
|
||
padding: 0;
|
||
cursor: pointer;
|
||
background: transparent;
|
||
border: 0;
|
||
-webkit-appearance: none;
|
||
}
|
||
.modal-open {
|
||
overflow: hidden;
|
||
}
|
||
.modal {
|
||
display: none;
|
||
overflow: hidden;
|
||
position: fixed;
|
||
top: 0;
|
||
right: 0;
|
||
bottom: 0;
|
||
left: 0;
|
||
z-index: 1050;
|
||
-webkit-overflow-scrolling: touch;
|
||
outline: 0;
|
||
}
|
||
.modal.fade .modal-dialog {
|
||
-webkit-transform: translate(0, -25%);
|
||
-ms-transform: translate(0, -25%);
|
||
-o-transform: translate(0, -25%);
|
||
transform: translate(0, -25%);
|
||
-webkit-transition: -webkit-transform 0.3s ease-out;
|
||
-moz-transition: -moz-transform 0.3s ease-out;
|
||
-o-transition: -o-transform 0.3s ease-out;
|
||
transition: transform 0.3s ease-out;
|
||
}
|
||
.modal.in .modal-dialog {
|
||
-webkit-transform: translate(0, 0);
|
||
-ms-transform: translate(0, 0);
|
||
-o-transform: translate(0, 0);
|
||
transform: translate(0, 0);
|
||
}
|
||
.modal-open .modal {
|
||
overflow-x: hidden;
|
||
overflow-y: auto;
|
||
}
|
||
.modal-dialog {
|
||
position: relative;
|
||
width: auto;
|
||
margin: 10px;
|
||
}
|
||
.modal-content {
|
||
position: relative;
|
||
background-color: #fff;
|
||
border: 1px solid #999;
|
||
border: 1px solid rgba(0, 0, 0, 0.2);
|
||
border-radius: 3px;
|
||
-webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
|
||
box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
|
||
background-clip: padding-box;
|
||
outline: 0;
|
||
}
|
||
.modal-backdrop {
|
||
position: fixed;
|
||
top: 0;
|
||
right: 0;
|
||
bottom: 0;
|
||
left: 0;
|
||
z-index: 1040;
|
||
background-color: #000;
|
||
}
|
||
.modal-backdrop.fade {
|
||
opacity: 0;
|
||
filter: alpha(opacity=0);
|
||
}
|
||
.modal-backdrop.in {
|
||
opacity: 0.5;
|
||
filter: alpha(opacity=50);
|
||
}
|
||
.modal-header {
|
||
padding: 15px;
|
||
border-bottom: 1px solid #e5e5e5;
|
||
}
|
||
.modal-header .close {
|
||
margin-top: -2px;
|
||
}
|
||
.modal-title {
|
||
margin: 0;
|
||
line-height: 1.42857143;
|
||
}
|
||
.modal-body {
|
||
position: relative;
|
||
padding: 15px;
|
||
}
|
||
.modal-footer {
|
||
padding: 15px;
|
||
text-align: right;
|
||
border-top: 1px solid #e5e5e5;
|
||
}
|
||
.modal-footer .btn + .btn {
|
||
margin-left: 5px;
|
||
margin-bottom: 0;
|
||
}
|
||
.modal-footer .btn-group .btn + .btn {
|
||
margin-left: -1px;
|
||
}
|
||
.modal-footer .btn-block + .btn-block {
|
||
margin-left: 0;
|
||
}
|
||
.modal-scrollbar-measure {
|
||
position: absolute;
|
||
top: -9999px;
|
||
width: 50px;
|
||
height: 50px;
|
||
overflow: scroll;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.modal-dialog {
|
||
width: 600px;
|
||
margin: 30px auto;
|
||
}
|
||
.modal-content {
|
||
-webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
|
||
box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
|
||
}
|
||
.modal-sm {
|
||
width: 300px;
|
||
}
|
||
}
|
||
@media (min-width: 992px) {
|
||
.modal-lg {
|
||
width: 900px;
|
||
}
|
||
}
|
||
.tooltip {
|
||
position: absolute;
|
||
z-index: 1070;
|
||
display: block;
|
||
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
|
||
font-style: normal;
|
||
font-weight: normal;
|
||
letter-spacing: normal;
|
||
line-break: auto;
|
||
line-height: 1.42857143;
|
||
text-align: left;
|
||
text-align: start;
|
||
text-decoration: none;
|
||
text-shadow: none;
|
||
text-transform: none;
|
||
white-space: normal;
|
||
word-break: normal;
|
||
word-spacing: normal;
|
||
word-wrap: normal;
|
||
font-size: 12px;
|
||
opacity: 0;
|
||
filter: alpha(opacity=0);
|
||
}
|
||
.tooltip.in {
|
||
opacity: 0.9;
|
||
filter: alpha(opacity=90);
|
||
}
|
||
.tooltip.top {
|
||
margin-top: -3px;
|
||
padding: 5px 0;
|
||
}
|
||
.tooltip.right {
|
||
margin-left: 3px;
|
||
padding: 0 5px;
|
||
}
|
||
.tooltip.bottom {
|
||
margin-top: 3px;
|
||
padding: 5px 0;
|
||
}
|
||
.tooltip.left {
|
||
margin-left: -3px;
|
||
padding: 0 5px;
|
||
}
|
||
.tooltip-inner {
|
||
max-width: 200px;
|
||
padding: 3px 8px;
|
||
color: #fff;
|
||
text-align: center;
|
||
background-color: #000;
|
||
border-radius: 2px;
|
||
}
|
||
.tooltip-arrow {
|
||
position: absolute;
|
||
width: 0;
|
||
height: 0;
|
||
border-color: transparent;
|
||
border-style: solid;
|
||
}
|
||
.tooltip.top .tooltip-arrow {
|
||
bottom: 0;
|
||
left: 50%;
|
||
margin-left: -5px;
|
||
border-width: 5px 5px 0;
|
||
border-top-color: #000;
|
||
}
|
||
.tooltip.top-left .tooltip-arrow {
|
||
bottom: 0;
|
||
right: 5px;
|
||
margin-bottom: -5px;
|
||
border-width: 5px 5px 0;
|
||
border-top-color: #000;
|
||
}
|
||
.tooltip.top-right .tooltip-arrow {
|
||
bottom: 0;
|
||
left: 5px;
|
||
margin-bottom: -5px;
|
||
border-width: 5px 5px 0;
|
||
border-top-color: #000;
|
||
}
|
||
.tooltip.right .tooltip-arrow {
|
||
top: 50%;
|
||
left: 0;
|
||
margin-top: -5px;
|
||
border-width: 5px 5px 5px 0;
|
||
border-right-color: #000;
|
||
}
|
||
.tooltip.left .tooltip-arrow {
|
||
top: 50%;
|
||
right: 0;
|
||
margin-top: -5px;
|
||
border-width: 5px 0 5px 5px;
|
||
border-left-color: #000;
|
||
}
|
||
.tooltip.bottom .tooltip-arrow {
|
||
top: 0;
|
||
left: 50%;
|
||
margin-left: -5px;
|
||
border-width: 0 5px 5px;
|
||
border-bottom-color: #000;
|
||
}
|
||
.tooltip.bottom-left .tooltip-arrow {
|
||
top: 0;
|
||
right: 5px;
|
||
margin-top: -5px;
|
||
border-width: 0 5px 5px;
|
||
border-bottom-color: #000;
|
||
}
|
||
.tooltip.bottom-right .tooltip-arrow {
|
||
top: 0;
|
||
left: 5px;
|
||
margin-top: -5px;
|
||
border-width: 0 5px 5px;
|
||
border-bottom-color: #000;
|
||
}
|
||
.popover {
|
||
position: absolute;
|
||
top: 0;
|
||
left: 0;
|
||
z-index: 1060;
|
||
display: none;
|
||
max-width: 276px;
|
||
padding: 1px;
|
||
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
|
||
font-style: normal;
|
||
font-weight: normal;
|
||
letter-spacing: normal;
|
||
line-break: auto;
|
||
line-height: 1.42857143;
|
||
text-align: left;
|
||
text-align: start;
|
||
text-decoration: none;
|
||
text-shadow: none;
|
||
text-transform: none;
|
||
white-space: normal;
|
||
word-break: normal;
|
||
word-spacing: normal;
|
||
word-wrap: normal;
|
||
font-size: 13px;
|
||
background-color: #fff;
|
||
background-clip: padding-box;
|
||
border: 1px solid #ccc;
|
||
border: 1px solid rgba(0, 0, 0, 0.2);
|
||
border-radius: 3px;
|
||
-webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
|
||
box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
|
||
}
|
||
.popover.top {
|
||
margin-top: -10px;
|
||
}
|
||
.popover.right {
|
||
margin-left: 10px;
|
||
}
|
||
.popover.bottom {
|
||
margin-top: 10px;
|
||
}
|
||
.popover.left {
|
||
margin-left: -10px;
|
||
}
|
||
.popover-title {
|
||
margin: 0;
|
||
padding: 8px 14px;
|
||
font-size: 13px;
|
||
background-color: #f7f7f7;
|
||
border-bottom: 1px solid #ebebeb;
|
||
border-radius: 2px 2px 0 0;
|
||
}
|
||
.popover-content {
|
||
padding: 9px 14px;
|
||
}
|
||
.popover > .arrow,
|
||
.popover > .arrow:after {
|
||
position: absolute;
|
||
display: block;
|
||
width: 0;
|
||
height: 0;
|
||
border-color: transparent;
|
||
border-style: solid;
|
||
}
|
||
.popover > .arrow {
|
||
border-width: 11px;
|
||
}
|
||
.popover > .arrow:after {
|
||
border-width: 10px;
|
||
content: "";
|
||
}
|
||
.popover.top > .arrow {
|
||
left: 50%;
|
||
margin-left: -11px;
|
||
border-bottom-width: 0;
|
||
border-top-color: #999999;
|
||
border-top-color: rgba(0, 0, 0, 0.25);
|
||
bottom: -11px;
|
||
}
|
||
.popover.top > .arrow:after {
|
||
content: " ";
|
||
bottom: 1px;
|
||
margin-left: -10px;
|
||
border-bottom-width: 0;
|
||
border-top-color: #fff;
|
||
}
|
||
.popover.right > .arrow {
|
||
top: 50%;
|
||
left: -11px;
|
||
margin-top: -11px;
|
||
border-left-width: 0;
|
||
border-right-color: #999999;
|
||
border-right-color: rgba(0, 0, 0, 0.25);
|
||
}
|
||
.popover.right > .arrow:after {
|
||
content: " ";
|
||
left: 1px;
|
||
bottom: -10px;
|
||
border-left-width: 0;
|
||
border-right-color: #fff;
|
||
}
|
||
.popover.bottom > .arrow {
|
||
left: 50%;
|
||
margin-left: -11px;
|
||
border-top-width: 0;
|
||
border-bottom-color: #999999;
|
||
border-bottom-color: rgba(0, 0, 0, 0.25);
|
||
top: -11px;
|
||
}
|
||
.popover.bottom > .arrow:after {
|
||
content: " ";
|
||
top: 1px;
|
||
margin-left: -10px;
|
||
border-top-width: 0;
|
||
border-bottom-color: #fff;
|
||
}
|
||
.popover.left > .arrow {
|
||
top: 50%;
|
||
right: -11px;
|
||
margin-top: -11px;
|
||
border-right-width: 0;
|
||
border-left-color: #999999;
|
||
border-left-color: rgba(0, 0, 0, 0.25);
|
||
}
|
||
.popover.left > .arrow:after {
|
||
content: " ";
|
||
right: 1px;
|
||
border-right-width: 0;
|
||
border-left-color: #fff;
|
||
bottom: -10px;
|
||
}
|
||
.carousel {
|
||
position: relative;
|
||
}
|
||
.carousel-inner {
|
||
position: relative;
|
||
overflow: hidden;
|
||
width: 100%;
|
||
}
|
||
.carousel-inner > .item {
|
||
display: none;
|
||
position: relative;
|
||
-webkit-transition: 0.6s ease-in-out left;
|
||
-o-transition: 0.6s ease-in-out left;
|
||
transition: 0.6s ease-in-out left;
|
||
}
|
||
.carousel-inner > .item > img,
|
||
.carousel-inner > .item > a > img {
|
||
line-height: 1;
|
||
}
|
||
@media all and (transform-3d), (-webkit-transform-3d) {
|
||
.carousel-inner > .item {
|
||
-webkit-transition: -webkit-transform 0.6s ease-in-out;
|
||
-moz-transition: -moz-transform 0.6s ease-in-out;
|
||
-o-transition: -o-transform 0.6s ease-in-out;
|
||
transition: transform 0.6s ease-in-out;
|
||
-webkit-backface-visibility: hidden;
|
||
-moz-backface-visibility: hidden;
|
||
backface-visibility: hidden;
|
||
-webkit-perspective: 1000px;
|
||
-moz-perspective: 1000px;
|
||
perspective: 1000px;
|
||
}
|
||
.carousel-inner > .item.next,
|
||
.carousel-inner > .item.active.right {
|
||
-webkit-transform: translate3d(100%, 0, 0);
|
||
transform: translate3d(100%, 0, 0);
|
||
left: 0;
|
||
}
|
||
.carousel-inner > .item.prev,
|
||
.carousel-inner > .item.active.left {
|
||
-webkit-transform: translate3d(-100%, 0, 0);
|
||
transform: translate3d(-100%, 0, 0);
|
||
left: 0;
|
||
}
|
||
.carousel-inner > .item.next.left,
|
||
.carousel-inner > .item.prev.right,
|
||
.carousel-inner > .item.active {
|
||
-webkit-transform: translate3d(0, 0, 0);
|
||
transform: translate3d(0, 0, 0);
|
||
left: 0;
|
||
}
|
||
}
|
||
.carousel-inner > .active,
|
||
.carousel-inner > .next,
|
||
.carousel-inner > .prev {
|
||
display: block;
|
||
}
|
||
.carousel-inner > .active {
|
||
left: 0;
|
||
}
|
||
.carousel-inner > .next,
|
||
.carousel-inner > .prev {
|
||
position: absolute;
|
||
top: 0;
|
||
width: 100%;
|
||
}
|
||
.carousel-inner > .next {
|
||
left: 100%;
|
||
}
|
||
.carousel-inner > .prev {
|
||
left: -100%;
|
||
}
|
||
.carousel-inner > .next.left,
|
||
.carousel-inner > .prev.right {
|
||
left: 0;
|
||
}
|
||
.carousel-inner > .active.left {
|
||
left: -100%;
|
||
}
|
||
.carousel-inner > .active.right {
|
||
left: 100%;
|
||
}
|
||
.carousel-control {
|
||
position: absolute;
|
||
top: 0;
|
||
left: 0;
|
||
bottom: 0;
|
||
width: 15%;
|
||
opacity: 0.5;
|
||
filter: alpha(opacity=50);
|
||
font-size: 20px;
|
||
color: #fff;
|
||
text-align: center;
|
||
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
|
||
background-color: rgba(0, 0, 0, 0);
|
||
}
|
||
.carousel-control.left {
|
||
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
|
||
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
|
||
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
|
||
background-repeat: repeat-x;
|
||
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
|
||
}
|
||
.carousel-control.right {
|
||
left: auto;
|
||
right: 0;
|
||
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
|
||
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
|
||
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
|
||
background-repeat: repeat-x;
|
||
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
|
||
}
|
||
.carousel-control:hover,
|
||
.carousel-control:focus {
|
||
outline: 0;
|
||
color: #fff;
|
||
text-decoration: none;
|
||
opacity: 0.9;
|
||
filter: alpha(opacity=90);
|
||
}
|
||
.carousel-control .icon-prev,
|
||
.carousel-control .icon-next,
|
||
.carousel-control .glyphicon-chevron-left,
|
||
.carousel-control .glyphicon-chevron-right {
|
||
position: absolute;
|
||
top: 50%;
|
||
margin-top: -10px;
|
||
z-index: 5;
|
||
display: inline-block;
|
||
}
|
||
.carousel-control .icon-prev,
|
||
.carousel-control .glyphicon-chevron-left {
|
||
left: 50%;
|
||
margin-left: -10px;
|
||
}
|
||
.carousel-control .icon-next,
|
||
.carousel-control .glyphicon-chevron-right {
|
||
right: 50%;
|
||
margin-right: -10px;
|
||
}
|
||
.carousel-control .icon-prev,
|
||
.carousel-control .icon-next {
|
||
width: 20px;
|
||
height: 20px;
|
||
line-height: 1;
|
||
font-family: serif;
|
||
}
|
||
.carousel-control .icon-prev:before {
|
||
content: '\2039';
|
||
}
|
||
.carousel-control .icon-next:before {
|
||
content: '\203a';
|
||
}
|
||
.carousel-indicators {
|
||
position: absolute;
|
||
bottom: 10px;
|
||
left: 50%;
|
||
z-index: 15;
|
||
width: 60%;
|
||
margin-left: -30%;
|
||
padding-left: 0;
|
||
list-style: none;
|
||
text-align: center;
|
||
}
|
||
.carousel-indicators li {
|
||
display: inline-block;
|
||
width: 10px;
|
||
height: 10px;
|
||
margin: 1px;
|
||
text-indent: -999px;
|
||
border: 1px solid #fff;
|
||
border-radius: 10px;
|
||
cursor: pointer;
|
||
background-color: #000 \9;
|
||
background-color: rgba(0, 0, 0, 0);
|
||
}
|
||
.carousel-indicators .active {
|
||
margin: 0;
|
||
width: 12px;
|
||
height: 12px;
|
||
background-color: #fff;
|
||
}
|
||
.carousel-caption {
|
||
position: absolute;
|
||
left: 15%;
|
||
right: 15%;
|
||
bottom: 20px;
|
||
z-index: 10;
|
||
padding-top: 20px;
|
||
padding-bottom: 20px;
|
||
color: #fff;
|
||
text-align: center;
|
||
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
|
||
}
|
||
.carousel-caption .btn {
|
||
text-shadow: none;
|
||
}
|
||
@media screen and (min-width: 768px) {
|
||
.carousel-control .glyphicon-chevron-left,
|
||
.carousel-control .glyphicon-chevron-right,
|
||
.carousel-control .icon-prev,
|
||
.carousel-control .icon-next {
|
||
width: 30px;
|
||
height: 30px;
|
||
margin-top: -10px;
|
||
font-size: 30px;
|
||
}
|
||
.carousel-control .glyphicon-chevron-left,
|
||
.carousel-control .icon-prev {
|
||
margin-left: -10px;
|
||
}
|
||
.carousel-control .glyphicon-chevron-right,
|
||
.carousel-control .icon-next {
|
||
margin-right: -10px;
|
||
}
|
||
.carousel-caption {
|
||
left: 20%;
|
||
right: 20%;
|
||
padding-bottom: 30px;
|
||
}
|
||
.carousel-indicators {
|
||
bottom: 20px;
|
||
}
|
||
}
|
||
.clearfix:before,
|
||
.clearfix:after,
|
||
.dl-horizontal dd:before,
|
||
.dl-horizontal dd:after,
|
||
.container:before,
|
||
.container:after,
|
||
.container-fluid:before,
|
||
.container-fluid:after,
|
||
.row:before,
|
||
.row:after,
|
||
.form-horizontal .form-group:before,
|
||
.form-horizontal .form-group:after,
|
||
.btn-toolbar:before,
|
||
.btn-toolbar:after,
|
||
.btn-group-vertical > .btn-group:before,
|
||
.btn-group-vertical > .btn-group:after,
|
||
.nav:before,
|
||
.nav:after,
|
||
.navbar:before,
|
||
.navbar:after,
|
||
.navbar-header:before,
|
||
.navbar-header:after,
|
||
.navbar-collapse:before,
|
||
.navbar-collapse:after,
|
||
.pager:before,
|
||
.pager:after,
|
||
.panel-body:before,
|
||
.panel-body:after,
|
||
.modal-header:before,
|
||
.modal-header:after,
|
||
.modal-footer:before,
|
||
.modal-footer:after,
|
||
.item_buttons:before,
|
||
.item_buttons:after {
|
||
content: " ";
|
||
display: table;
|
||
}
|
||
.clearfix:after,
|
||
.dl-horizontal dd:after,
|
||
.container:after,
|
||
.container-fluid:after,
|
||
.row:after,
|
||
.form-horizontal .form-group:after,
|
||
.btn-toolbar:after,
|
||
.btn-group-vertical > .btn-group:after,
|
||
.nav:after,
|
||
.navbar:after,
|
||
.navbar-header:after,
|
||
.navbar-collapse:after,
|
||
.pager:after,
|
||
.panel-body:after,
|
||
.modal-header:after,
|
||
.modal-footer:after,
|
||
.item_buttons:after {
|
||
clear: both;
|
||
}
|
||
.center-block {
|
||
display: block;
|
||
margin-left: auto;
|
||
margin-right: auto;
|
||
}
|
||
.pull-right {
|
||
float: right !important;
|
||
}
|
||
.pull-left {
|
||
float: left !important;
|
||
}
|
||
.hide {
|
||
display: none !important;
|
||
}
|
||
.show {
|
||
display: block !important;
|
||
}
|
||
.invisible {
|
||
visibility: hidden;
|
||
}
|
||
.text-hide {
|
||
font: 0/0 a;
|
||
color: transparent;
|
||
text-shadow: none;
|
||
background-color: transparent;
|
||
border: 0;
|
||
}
|
||
.hidden {
|
||
display: none !important;
|
||
}
|
||
.affix {
|
||
position: fixed;
|
||
}
|
||
@-ms-viewport {
|
||
width: device-width;
|
||
}
|
||
.visible-xs,
|
||
.visible-sm,
|
||
.visible-md,
|
||
.visible-lg {
|
||
display: none !important;
|
||
}
|
||
.visible-xs-block,
|
||
.visible-xs-inline,
|
||
.visible-xs-inline-block,
|
||
.visible-sm-block,
|
||
.visible-sm-inline,
|
||
.visible-sm-inline-block,
|
||
.visible-md-block,
|
||
.visible-md-inline,
|
||
.visible-md-inline-block,
|
||
.visible-lg-block,
|
||
.visible-lg-inline,
|
||
.visible-lg-inline-block {
|
||
display: none !important;
|
||
}
|
||
@media (max-width: 767px) {
|
||
.visible-xs {
|
||
display: block !important;
|
||
}
|
||
table.visible-xs {
|
||
display: table !important;
|
||
}
|
||
tr.visible-xs {
|
||
display: table-row !important;
|
||
}
|
||
th.visible-xs,
|
||
td.visible-xs {
|
||
display: table-cell !important;
|
||
}
|
||
}
|
||
@media (max-width: 767px) {
|
||
.visible-xs-block {
|
||
display: block !important;
|
||
}
|
||
}
|
||
@media (max-width: 767px) {
|
||
.visible-xs-inline {
|
||
display: inline !important;
|
||
}
|
||
}
|
||
@media (max-width: 767px) {
|
||
.visible-xs-inline-block {
|
||
display: inline-block !important;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
.visible-sm {
|
||
display: block !important;
|
||
}
|
||
table.visible-sm {
|
||
display: table !important;
|
||
}
|
||
tr.visible-sm {
|
||
display: table-row !important;
|
||
}
|
||
th.visible-sm,
|
||
td.visible-sm {
|
||
display: table-cell !important;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
.visible-sm-block {
|
||
display: block !important;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
.visible-sm-inline {
|
||
display: inline !important;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
.visible-sm-inline-block {
|
||
display: inline-block !important;
|
||
}
|
||
}
|
||
@media (min-width: 992px) and (max-width: 1199px) {
|
||
.visible-md {
|
||
display: block !important;
|
||
}
|
||
table.visible-md {
|
||
display: table !important;
|
||
}
|
||
tr.visible-md {
|
||
display: table-row !important;
|
||
}
|
||
th.visible-md,
|
||
td.visible-md {
|
||
display: table-cell !important;
|
||
}
|
||
}
|
||
@media (min-width: 992px) and (max-width: 1199px) {
|
||
.visible-md-block {
|
||
display: block !important;
|
||
}
|
||
}
|
||
@media (min-width: 992px) and (max-width: 1199px) {
|
||
.visible-md-inline {
|
||
display: inline !important;
|
||
}
|
||
}
|
||
@media (min-width: 992px) and (max-width: 1199px) {
|
||
.visible-md-inline-block {
|
||
display: inline-block !important;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.visible-lg {
|
||
display: block !important;
|
||
}
|
||
table.visible-lg {
|
||
display: table !important;
|
||
}
|
||
tr.visible-lg {
|
||
display: table-row !important;
|
||
}
|
||
th.visible-lg,
|
||
td.visible-lg {
|
||
display: table-cell !important;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.visible-lg-block {
|
||
display: block !important;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.visible-lg-inline {
|
||
display: inline !important;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.visible-lg-inline-block {
|
||
display: inline-block !important;
|
||
}
|
||
}
|
||
@media (max-width: 767px) {
|
||
.hidden-xs {
|
||
display: none !important;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
.hidden-sm {
|
||
display: none !important;
|
||
}
|
||
}
|
||
@media (min-width: 992px) and (max-width: 1199px) {
|
||
.hidden-md {
|
||
display: none !important;
|
||
}
|
||
}
|
||
@media (min-width: 1200px) {
|
||
.hidden-lg {
|
||
display: none !important;
|
||
}
|
||
}
|
||
.visible-print {
|
||
display: none !important;
|
||
}
|
||
@media print {
|
||
.visible-print {
|
||
display: block !important;
|
||
}
|
||
table.visible-print {
|
||
display: table !important;
|
||
}
|
||
tr.visible-print {
|
||
display: table-row !important;
|
||
}
|
||
th.visible-print,
|
||
td.visible-print {
|
||
display: table-cell !important;
|
||
}
|
||
}
|
||
.visible-print-block {
|
||
display: none !important;
|
||
}
|
||
@media print {
|
||
.visible-print-block {
|
||
display: block !important;
|
||
}
|
||
}
|
||
.visible-print-inline {
|
||
display: none !important;
|
||
}
|
||
@media print {
|
||
.visible-print-inline {
|
||
display: inline !important;
|
||
}
|
||
}
|
||
.visible-print-inline-block {
|
||
display: none !important;
|
||
}
|
||
@media print {
|
||
.visible-print-inline-block {
|
||
display: inline-block !important;
|
||
}
|
||
}
|
||
@media print {
|
||
.hidden-print {
|
||
display: none !important;
|
||
}
|
||
}
|
||
/*!
|
||
*
|
||
* Font Awesome
|
||
*
|
||
*/
|
||
/*!
|
||
* Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
|
||
* License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
|
||
*/
|
||
/* FONT PATH
|
||
* -------------------------- */
|
||
@font-face {
|
||
font-family: 'FontAwesome';
|
||
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
|
||
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
|
||
font-weight: normal;
|
||
font-style: normal;
|
||
}
|
||
.fa {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
}
|
||
/* makes the font 33% larger relative to the icon container */
|
||
.fa-lg {
|
||
font-size: 1.33333333em;
|
||
line-height: 0.75em;
|
||
vertical-align: -15%;
|
||
}
|
||
.fa-2x {
|
||
font-size: 2em;
|
||
}
|
||
.fa-3x {
|
||
font-size: 3em;
|
||
}
|
||
.fa-4x {
|
||
font-size: 4em;
|
||
}
|
||
.fa-5x {
|
||
font-size: 5em;
|
||
}
|
||
.fa-fw {
|
||
width: 1.28571429em;
|
||
text-align: center;
|
||
}
|
||
.fa-ul {
|
||
padding-left: 0;
|
||
margin-left: 2.14285714em;
|
||
list-style-type: none;
|
||
}
|
||
.fa-ul > li {
|
||
position: relative;
|
||
}
|
||
.fa-li {
|
||
position: absolute;
|
||
left: -2.14285714em;
|
||
width: 2.14285714em;
|
||
top: 0.14285714em;
|
||
text-align: center;
|
||
}
|
||
.fa-li.fa-lg {
|
||
left: -1.85714286em;
|
||
}
|
||
.fa-border {
|
||
padding: .2em .25em .15em;
|
||
border: solid 0.08em #eee;
|
||
border-radius: .1em;
|
||
}
|
||
.fa-pull-left {
|
||
float: left;
|
||
}
|
||
.fa-pull-right {
|
||
float: right;
|
||
}
|
||
.fa.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.fa.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
/* Deprecated as of 4.4.0 */
|
||
.pull-right {
|
||
float: right;
|
||
}
|
||
.pull-left {
|
||
float: left;
|
||
}
|
||
.fa.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.fa.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.fa-spin {
|
||
-webkit-animation: fa-spin 2s infinite linear;
|
||
animation: fa-spin 2s infinite linear;
|
||
}
|
||
.fa-pulse {
|
||
-webkit-animation: fa-spin 1s infinite steps(8);
|
||
animation: fa-spin 1s infinite steps(8);
|
||
}
|
||
@-webkit-keyframes fa-spin {
|
||
0% {
|
||
-webkit-transform: rotate(0deg);
|
||
transform: rotate(0deg);
|
||
}
|
||
100% {
|
||
-webkit-transform: rotate(359deg);
|
||
transform: rotate(359deg);
|
||
}
|
||
}
|
||
@keyframes fa-spin {
|
||
0% {
|
||
-webkit-transform: rotate(0deg);
|
||
transform: rotate(0deg);
|
||
}
|
||
100% {
|
||
-webkit-transform: rotate(359deg);
|
||
transform: rotate(359deg);
|
||
}
|
||
}
|
||
.fa-rotate-90 {
|
||
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
|
||
-webkit-transform: rotate(90deg);
|
||
-ms-transform: rotate(90deg);
|
||
transform: rotate(90deg);
|
||
}
|
||
.fa-rotate-180 {
|
||
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
|
||
-webkit-transform: rotate(180deg);
|
||
-ms-transform: rotate(180deg);
|
||
transform: rotate(180deg);
|
||
}
|
||
.fa-rotate-270 {
|
||
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
|
||
-webkit-transform: rotate(270deg);
|
||
-ms-transform: rotate(270deg);
|
||
transform: rotate(270deg);
|
||
}
|
||
.fa-flip-horizontal {
|
||
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
|
||
-webkit-transform: scale(-1, 1);
|
||
-ms-transform: scale(-1, 1);
|
||
transform: scale(-1, 1);
|
||
}
|
||
.fa-flip-vertical {
|
||
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
|
||
-webkit-transform: scale(1, -1);
|
||
-ms-transform: scale(1, -1);
|
||
transform: scale(1, -1);
|
||
}
|
||
:root .fa-rotate-90,
|
||
:root .fa-rotate-180,
|
||
:root .fa-rotate-270,
|
||
:root .fa-flip-horizontal,
|
||
:root .fa-flip-vertical {
|
||
filter: none;
|
||
}
|
||
.fa-stack {
|
||
position: relative;
|
||
display: inline-block;
|
||
width: 2em;
|
||
height: 2em;
|
||
line-height: 2em;
|
||
vertical-align: middle;
|
||
}
|
||
.fa-stack-1x,
|
||
.fa-stack-2x {
|
||
position: absolute;
|
||
left: 0;
|
||
width: 100%;
|
||
text-align: center;
|
||
}
|
||
.fa-stack-1x {
|
||
line-height: inherit;
|
||
}
|
||
.fa-stack-2x {
|
||
font-size: 2em;
|
||
}
|
||
.fa-inverse {
|
||
color: #fff;
|
||
}
|
||
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
|
||
readers do not read off random characters that represent icons */
|
||
.fa-glass:before {
|
||
content: "\f000";
|
||
}
|
||
.fa-music:before {
|
||
content: "\f001";
|
||
}
|
||
.fa-search:before {
|
||
content: "\f002";
|
||
}
|
||
.fa-envelope-o:before {
|
||
content: "\f003";
|
||
}
|
||
.fa-heart:before {
|
||
content: "\f004";
|
||
}
|
||
.fa-star:before {
|
||
content: "\f005";
|
||
}
|
||
.fa-star-o:before {
|
||
content: "\f006";
|
||
}
|
||
.fa-user:before {
|
||
content: "\f007";
|
||
}
|
||
.fa-film:before {
|
||
content: "\f008";
|
||
}
|
||
.fa-th-large:before {
|
||
content: "\f009";
|
||
}
|
||
.fa-th:before {
|
||
content: "\f00a";
|
||
}
|
||
.fa-th-list:before {
|
||
content: "\f00b";
|
||
}
|
||
.fa-check:before {
|
||
content: "\f00c";
|
||
}
|
||
.fa-remove:before,
|
||
.fa-close:before,
|
||
.fa-times:before {
|
||
content: "\f00d";
|
||
}
|
||
.fa-search-plus:before {
|
||
content: "\f00e";
|
||
}
|
||
.fa-search-minus:before {
|
||
content: "\f010";
|
||
}
|
||
.fa-power-off:before {
|
||
content: "\f011";
|
||
}
|
||
.fa-signal:before {
|
||
content: "\f012";
|
||
}
|
||
.fa-gear:before,
|
||
.fa-cog:before {
|
||
content: "\f013";
|
||
}
|
||
.fa-trash-o:before {
|
||
content: "\f014";
|
||
}
|
||
.fa-home:before {
|
||
content: "\f015";
|
||
}
|
||
.fa-file-o:before {
|
||
content: "\f016";
|
||
}
|
||
.fa-clock-o:before {
|
||
content: "\f017";
|
||
}
|
||
.fa-road:before {
|
||
content: "\f018";
|
||
}
|
||
.fa-download:before {
|
||
content: "\f019";
|
||
}
|
||
.fa-arrow-circle-o-down:before {
|
||
content: "\f01a";
|
||
}
|
||
.fa-arrow-circle-o-up:before {
|
||
content: "\f01b";
|
||
}
|
||
.fa-inbox:before {
|
||
content: "\f01c";
|
||
}
|
||
.fa-play-circle-o:before {
|
||
content: "\f01d";
|
||
}
|
||
.fa-rotate-right:before,
|
||
.fa-repeat:before {
|
||
content: "\f01e";
|
||
}
|
||
.fa-refresh:before {
|
||
content: "\f021";
|
||
}
|
||
.fa-list-alt:before {
|
||
content: "\f022";
|
||
}
|
||
.fa-lock:before {
|
||
content: "\f023";
|
||
}
|
||
.fa-flag:before {
|
||
content: "\f024";
|
||
}
|
||
.fa-headphones:before {
|
||
content: "\f025";
|
||
}
|
||
.fa-volume-off:before {
|
||
content: "\f026";
|
||
}
|
||
.fa-volume-down:before {
|
||
content: "\f027";
|
||
}
|
||
.fa-volume-up:before {
|
||
content: "\f028";
|
||
}
|
||
.fa-qrcode:before {
|
||
content: "\f029";
|
||
}
|
||
.fa-barcode:before {
|
||
content: "\f02a";
|
||
}
|
||
.fa-tag:before {
|
||
content: "\f02b";
|
||
}
|
||
.fa-tags:before {
|
||
content: "\f02c";
|
||
}
|
||
.fa-book:before {
|
||
content: "\f02d";
|
||
}
|
||
.fa-bookmark:before {
|
||
content: "\f02e";
|
||
}
|
||
.fa-print:before {
|
||
content: "\f02f";
|
||
}
|
||
.fa-camera:before {
|
||
content: "\f030";
|
||
}
|
||
.fa-font:before {
|
||
content: "\f031";
|
||
}
|
||
.fa-bold:before {
|
||
content: "\f032";
|
||
}
|
||
.fa-italic:before {
|
||
content: "\f033";
|
||
}
|
||
.fa-text-height:before {
|
||
content: "\f034";
|
||
}
|
||
.fa-text-width:before {
|
||
content: "\f035";
|
||
}
|
||
.fa-align-left:before {
|
||
content: "\f036";
|
||
}
|
||
.fa-align-center:before {
|
||
content: "\f037";
|
||
}
|
||
.fa-align-right:before {
|
||
content: "\f038";
|
||
}
|
||
.fa-align-justify:before {
|
||
content: "\f039";
|
||
}
|
||
.fa-list:before {
|
||
content: "\f03a";
|
||
}
|
||
.fa-dedent:before,
|
||
.fa-outdent:before {
|
||
content: "\f03b";
|
||
}
|
||
.fa-indent:before {
|
||
content: "\f03c";
|
||
}
|
||
.fa-video-camera:before {
|
||
content: "\f03d";
|
||
}
|
||
.fa-photo:before,
|
||
.fa-image:before,
|
||
.fa-picture-o:before {
|
||
content: "\f03e";
|
||
}
|
||
.fa-pencil:before {
|
||
content: "\f040";
|
||
}
|
||
.fa-map-marker:before {
|
||
content: "\f041";
|
||
}
|
||
.fa-adjust:before {
|
||
content: "\f042";
|
||
}
|
||
.fa-tint:before {
|
||
content: "\f043";
|
||
}
|
||
.fa-edit:before,
|
||
.fa-pencil-square-o:before {
|
||
content: "\f044";
|
||
}
|
||
.fa-share-square-o:before {
|
||
content: "\f045";
|
||
}
|
||
.fa-check-square-o:before {
|
||
content: "\f046";
|
||
}
|
||
.fa-arrows:before {
|
||
content: "\f047";
|
||
}
|
||
.fa-step-backward:before {
|
||
content: "\f048";
|
||
}
|
||
.fa-fast-backward:before {
|
||
content: "\f049";
|
||
}
|
||
.fa-backward:before {
|
||
content: "\f04a";
|
||
}
|
||
.fa-play:before {
|
||
content: "\f04b";
|
||
}
|
||
.fa-pause:before {
|
||
content: "\f04c";
|
||
}
|
||
.fa-stop:before {
|
||
content: "\f04d";
|
||
}
|
||
.fa-forward:before {
|
||
content: "\f04e";
|
||
}
|
||
.fa-fast-forward:before {
|
||
content: "\f050";
|
||
}
|
||
.fa-step-forward:before {
|
||
content: "\f051";
|
||
}
|
||
.fa-eject:before {
|
||
content: "\f052";
|
||
}
|
||
.fa-chevron-left:before {
|
||
content: "\f053";
|
||
}
|
||
.fa-chevron-right:before {
|
||
content: "\f054";
|
||
}
|
||
.fa-plus-circle:before {
|
||
content: "\f055";
|
||
}
|
||
.fa-minus-circle:before {
|
||
content: "\f056";
|
||
}
|
||
.fa-times-circle:before {
|
||
content: "\f057";
|
||
}
|
||
.fa-check-circle:before {
|
||
content: "\f058";
|
||
}
|
||
.fa-question-circle:before {
|
||
content: "\f059";
|
||
}
|
||
.fa-info-circle:before {
|
||
content: "\f05a";
|
||
}
|
||
.fa-crosshairs:before {
|
||
content: "\f05b";
|
||
}
|
||
.fa-times-circle-o:before {
|
||
content: "\f05c";
|
||
}
|
||
.fa-check-circle-o:before {
|
||
content: "\f05d";
|
||
}
|
||
.fa-ban:before {
|
||
content: "\f05e";
|
||
}
|
||
.fa-arrow-left:before {
|
||
content: "\f060";
|
||
}
|
||
.fa-arrow-right:before {
|
||
content: "\f061";
|
||
}
|
||
.fa-arrow-up:before {
|
||
content: "\f062";
|
||
}
|
||
.fa-arrow-down:before {
|
||
content: "\f063";
|
||
}
|
||
.fa-mail-forward:before,
|
||
.fa-share:before {
|
||
content: "\f064";
|
||
}
|
||
.fa-expand:before {
|
||
content: "\f065";
|
||
}
|
||
.fa-compress:before {
|
||
content: "\f066";
|
||
}
|
||
.fa-plus:before {
|
||
content: "\f067";
|
||
}
|
||
.fa-minus:before {
|
||
content: "\f068";
|
||
}
|
||
.fa-asterisk:before {
|
||
content: "\f069";
|
||
}
|
||
.fa-exclamation-circle:before {
|
||
content: "\f06a";
|
||
}
|
||
.fa-gift:before {
|
||
content: "\f06b";
|
||
}
|
||
.fa-leaf:before {
|
||
content: "\f06c";
|
||
}
|
||
.fa-fire:before {
|
||
content: "\f06d";
|
||
}
|
||
.fa-eye:before {
|
||
content: "\f06e";
|
||
}
|
||
.fa-eye-slash:before {
|
||
content: "\f070";
|
||
}
|
||
.fa-warning:before,
|
||
.fa-exclamation-triangle:before {
|
||
content: "\f071";
|
||
}
|
||
.fa-plane:before {
|
||
content: "\f072";
|
||
}
|
||
.fa-calendar:before {
|
||
content: "\f073";
|
||
}
|
||
.fa-random:before {
|
||
content: "\f074";
|
||
}
|
||
.fa-comment:before {
|
||
content: "\f075";
|
||
}
|
||
.fa-magnet:before {
|
||
content: "\f076";
|
||
}
|
||
.fa-chevron-up:before {
|
||
content: "\f077";
|
||
}
|
||
.fa-chevron-down:before {
|
||
content: "\f078";
|
||
}
|
||
.fa-retweet:before {
|
||
content: "\f079";
|
||
}
|
||
.fa-shopping-cart:before {
|
||
content: "\f07a";
|
||
}
|
||
.fa-folder:before {
|
||
content: "\f07b";
|
||
}
|
||
.fa-folder-open:before {
|
||
content: "\f07c";
|
||
}
|
||
.fa-arrows-v:before {
|
||
content: "\f07d";
|
||
}
|
||
.fa-arrows-h:before {
|
||
content: "\f07e";
|
||
}
|
||
.fa-bar-chart-o:before,
|
||
.fa-bar-chart:before {
|
||
content: "\f080";
|
||
}
|
||
.fa-twitter-square:before {
|
||
content: "\f081";
|
||
}
|
||
.fa-facebook-square:before {
|
||
content: "\f082";
|
||
}
|
||
.fa-camera-retro:before {
|
||
content: "\f083";
|
||
}
|
||
.fa-key:before {
|
||
content: "\f084";
|
||
}
|
||
.fa-gears:before,
|
||
.fa-cogs:before {
|
||
content: "\f085";
|
||
}
|
||
.fa-comments:before {
|
||
content: "\f086";
|
||
}
|
||
.fa-thumbs-o-up:before {
|
||
content: "\f087";
|
||
}
|
||
.fa-thumbs-o-down:before {
|
||
content: "\f088";
|
||
}
|
||
.fa-star-half:before {
|
||
content: "\f089";
|
||
}
|
||
.fa-heart-o:before {
|
||
content: "\f08a";
|
||
}
|
||
.fa-sign-out:before {
|
||
content: "\f08b";
|
||
}
|
||
.fa-linkedin-square:before {
|
||
content: "\f08c";
|
||
}
|
||
.fa-thumb-tack:before {
|
||
content: "\f08d";
|
||
}
|
||
.fa-external-link:before {
|
||
content: "\f08e";
|
||
}
|
||
.fa-sign-in:before {
|
||
content: "\f090";
|
||
}
|
||
.fa-trophy:before {
|
||
content: "\f091";
|
||
}
|
||
.fa-github-square:before {
|
||
content: "\f092";
|
||
}
|
||
.fa-upload:before {
|
||
content: "\f093";
|
||
}
|
||
.fa-lemon-o:before {
|
||
content: "\f094";
|
||
}
|
||
.fa-phone:before {
|
||
content: "\f095";
|
||
}
|
||
.fa-square-o:before {
|
||
content: "\f096";
|
||
}
|
||
.fa-bookmark-o:before {
|
||
content: "\f097";
|
||
}
|
||
.fa-phone-square:before {
|
||
content: "\f098";
|
||
}
|
||
.fa-twitter:before {
|
||
content: "\f099";
|
||
}
|
||
.fa-facebook-f:before,
|
||
.fa-facebook:before {
|
||
content: "\f09a";
|
||
}
|
||
.fa-github:before {
|
||
content: "\f09b";
|
||
}
|
||
.fa-unlock:before {
|
||
content: "\f09c";
|
||
}
|
||
.fa-credit-card:before {
|
||
content: "\f09d";
|
||
}
|
||
.fa-feed:before,
|
||
.fa-rss:before {
|
||
content: "\f09e";
|
||
}
|
||
.fa-hdd-o:before {
|
||
content: "\f0a0";
|
||
}
|
||
.fa-bullhorn:before {
|
||
content: "\f0a1";
|
||
}
|
||
.fa-bell:before {
|
||
content: "\f0f3";
|
||
}
|
||
.fa-certificate:before {
|
||
content: "\f0a3";
|
||
}
|
||
.fa-hand-o-right:before {
|
||
content: "\f0a4";
|
||
}
|
||
.fa-hand-o-left:before {
|
||
content: "\f0a5";
|
||
}
|
||
.fa-hand-o-up:before {
|
||
content: "\f0a6";
|
||
}
|
||
.fa-hand-o-down:before {
|
||
content: "\f0a7";
|
||
}
|
||
.fa-arrow-circle-left:before {
|
||
content: "\f0a8";
|
||
}
|
||
.fa-arrow-circle-right:before {
|
||
content: "\f0a9";
|
||
}
|
||
.fa-arrow-circle-up:before {
|
||
content: "\f0aa";
|
||
}
|
||
.fa-arrow-circle-down:before {
|
||
content: "\f0ab";
|
||
}
|
||
.fa-globe:before {
|
||
content: "\f0ac";
|
||
}
|
||
.fa-wrench:before {
|
||
content: "\f0ad";
|
||
}
|
||
.fa-tasks:before {
|
||
content: "\f0ae";
|
||
}
|
||
.fa-filter:before {
|
||
content: "\f0b0";
|
||
}
|
||
.fa-briefcase:before {
|
||
content: "\f0b1";
|
||
}
|
||
.fa-arrows-alt:before {
|
||
content: "\f0b2";
|
||
}
|
||
.fa-group:before,
|
||
.fa-users:before {
|
||
content: "\f0c0";
|
||
}
|
||
.fa-chain:before,
|
||
.fa-link:before {
|
||
content: "\f0c1";
|
||
}
|
||
.fa-cloud:before {
|
||
content: "\f0c2";
|
||
}
|
||
.fa-flask:before {
|
||
content: "\f0c3";
|
||
}
|
||
.fa-cut:before,
|
||
.fa-scissors:before {
|
||
content: "\f0c4";
|
||
}
|
||
.fa-copy:before,
|
||
.fa-files-o:before {
|
||
content: "\f0c5";
|
||
}
|
||
.fa-paperclip:before {
|
||
content: "\f0c6";
|
||
}
|
||
.fa-save:before,
|
||
.fa-floppy-o:before {
|
||
content: "\f0c7";
|
||
}
|
||
.fa-square:before {
|
||
content: "\f0c8";
|
||
}
|
||
.fa-navicon:before,
|
||
.fa-reorder:before,
|
||
.fa-bars:before {
|
||
content: "\f0c9";
|
||
}
|
||
.fa-list-ul:before {
|
||
content: "\f0ca";
|
||
}
|
||
.fa-list-ol:before {
|
||
content: "\f0cb";
|
||
}
|
||
.fa-strikethrough:before {
|
||
content: "\f0cc";
|
||
}
|
||
.fa-underline:before {
|
||
content: "\f0cd";
|
||
}
|
||
.fa-table:before {
|
||
content: "\f0ce";
|
||
}
|
||
.fa-magic:before {
|
||
content: "\f0d0";
|
||
}
|
||
.fa-truck:before {
|
||
content: "\f0d1";
|
||
}
|
||
.fa-pinterest:before {
|
||
content: "\f0d2";
|
||
}
|
||
.fa-pinterest-square:before {
|
||
content: "\f0d3";
|
||
}
|
||
.fa-google-plus-square:before {
|
||
content: "\f0d4";
|
||
}
|
||
.fa-google-plus:before {
|
||
content: "\f0d5";
|
||
}
|
||
.fa-money:before {
|
||
content: "\f0d6";
|
||
}
|
||
.fa-caret-down:before {
|
||
content: "\f0d7";
|
||
}
|
||
.fa-caret-up:before {
|
||
content: "\f0d8";
|
||
}
|
||
.fa-caret-left:before {
|
||
content: "\f0d9";
|
||
}
|
||
.fa-caret-right:before {
|
||
content: "\f0da";
|
||
}
|
||
.fa-columns:before {
|
||
content: "\f0db";
|
||
}
|
||
.fa-unsorted:before,
|
||
.fa-sort:before {
|
||
content: "\f0dc";
|
||
}
|
||
.fa-sort-down:before,
|
||
.fa-sort-desc:before {
|
||
content: "\f0dd";
|
||
}
|
||
.fa-sort-up:before,
|
||
.fa-sort-asc:before {
|
||
content: "\f0de";
|
||
}
|
||
.fa-envelope:before {
|
||
content: "\f0e0";
|
||
}
|
||
.fa-linkedin:before {
|
||
content: "\f0e1";
|
||
}
|
||
.fa-rotate-left:before,
|
||
.fa-undo:before {
|
||
content: "\f0e2";
|
||
}
|
||
.fa-legal:before,
|
||
.fa-gavel:before {
|
||
content: "\f0e3";
|
||
}
|
||
.fa-dashboard:before,
|
||
.fa-tachometer:before {
|
||
content: "\f0e4";
|
||
}
|
||
.fa-comment-o:before {
|
||
content: "\f0e5";
|
||
}
|
||
.fa-comments-o:before {
|
||
content: "\f0e6";
|
||
}
|
||
.fa-flash:before,
|
||
.fa-bolt:before {
|
||
content: "\f0e7";
|
||
}
|
||
.fa-sitemap:before {
|
||
content: "\f0e8";
|
||
}
|
||
.fa-umbrella:before {
|
||
content: "\f0e9";
|
||
}
|
||
.fa-paste:before,
|
||
.fa-clipboard:before {
|
||
content: "\f0ea";
|
||
}
|
||
.fa-lightbulb-o:before {
|
||
content: "\f0eb";
|
||
}
|
||
.fa-exchange:before {
|
||
content: "\f0ec";
|
||
}
|
||
.fa-cloud-download:before {
|
||
content: "\f0ed";
|
||
}
|
||
.fa-cloud-upload:before {
|
||
content: "\f0ee";
|
||
}
|
||
.fa-user-md:before {
|
||
content: "\f0f0";
|
||
}
|
||
.fa-stethoscope:before {
|
||
content: "\f0f1";
|
||
}
|
||
.fa-suitcase:before {
|
||
content: "\f0f2";
|
||
}
|
||
.fa-bell-o:before {
|
||
content: "\f0a2";
|
||
}
|
||
.fa-coffee:before {
|
||
content: "\f0f4";
|
||
}
|
||
.fa-cutlery:before {
|
||
content: "\f0f5";
|
||
}
|
||
.fa-file-text-o:before {
|
||
content: "\f0f6";
|
||
}
|
||
.fa-building-o:before {
|
||
content: "\f0f7";
|
||
}
|
||
.fa-hospital-o:before {
|
||
content: "\f0f8";
|
||
}
|
||
.fa-ambulance:before {
|
||
content: "\f0f9";
|
||
}
|
||
.fa-medkit:before {
|
||
content: "\f0fa";
|
||
}
|
||
.fa-fighter-jet:before {
|
||
content: "\f0fb";
|
||
}
|
||
.fa-beer:before {
|
||
content: "\f0fc";
|
||
}
|
||
.fa-h-square:before {
|
||
content: "\f0fd";
|
||
}
|
||
.fa-plus-square:before {
|
||
content: "\f0fe";
|
||
}
|
||
.fa-angle-double-left:before {
|
||
content: "\f100";
|
||
}
|
||
.fa-angle-double-right:before {
|
||
content: "\f101";
|
||
}
|
||
.fa-angle-double-up:before {
|
||
content: "\f102";
|
||
}
|
||
.fa-angle-double-down:before {
|
||
content: "\f103";
|
||
}
|
||
.fa-angle-left:before {
|
||
content: "\f104";
|
||
}
|
||
.fa-angle-right:before {
|
||
content: "\f105";
|
||
}
|
||
.fa-angle-up:before {
|
||
content: "\f106";
|
||
}
|
||
.fa-angle-down:before {
|
||
content: "\f107";
|
||
}
|
||
.fa-desktop:before {
|
||
content: "\f108";
|
||
}
|
||
.fa-laptop:before {
|
||
content: "\f109";
|
||
}
|
||
.fa-tablet:before {
|
||
content: "\f10a";
|
||
}
|
||
.fa-mobile-phone:before,
|
||
.fa-mobile:before {
|
||
content: "\f10b";
|
||
}
|
||
.fa-circle-o:before {
|
||
content: "\f10c";
|
||
}
|
||
.fa-quote-left:before {
|
||
content: "\f10d";
|
||
}
|
||
.fa-quote-right:before {
|
||
content: "\f10e";
|
||
}
|
||
.fa-spinner:before {
|
||
content: "\f110";
|
||
}
|
||
.fa-circle:before {
|
||
content: "\f111";
|
||
}
|
||
.fa-mail-reply:before,
|
||
.fa-reply:before {
|
||
content: "\f112";
|
||
}
|
||
.fa-github-alt:before {
|
||
content: "\f113";
|
||
}
|
||
.fa-folder-o:before {
|
||
content: "\f114";
|
||
}
|
||
.fa-folder-open-o:before {
|
||
content: "\f115";
|
||
}
|
||
.fa-smile-o:before {
|
||
content: "\f118";
|
||
}
|
||
.fa-frown-o:before {
|
||
content: "\f119";
|
||
}
|
||
.fa-meh-o:before {
|
||
content: "\f11a";
|
||
}
|
||
.fa-gamepad:before {
|
||
content: "\f11b";
|
||
}
|
||
.fa-keyboard-o:before {
|
||
content: "\f11c";
|
||
}
|
||
.fa-flag-o:before {
|
||
content: "\f11d";
|
||
}
|
||
.fa-flag-checkered:before {
|
||
content: "\f11e";
|
||
}
|
||
.fa-terminal:before {
|
||
content: "\f120";
|
||
}
|
||
.fa-code:before {
|
||
content: "\f121";
|
||
}
|
||
.fa-mail-reply-all:before,
|
||
.fa-reply-all:before {
|
||
content: "\f122";
|
||
}
|
||
.fa-star-half-empty:before,
|
||
.fa-star-half-full:before,
|
||
.fa-star-half-o:before {
|
||
content: "\f123";
|
||
}
|
||
.fa-location-arrow:before {
|
||
content: "\f124";
|
||
}
|
||
.fa-crop:before {
|
||
content: "\f125";
|
||
}
|
||
.fa-code-fork:before {
|
||
content: "\f126";
|
||
}
|
||
.fa-unlink:before,
|
||
.fa-chain-broken:before {
|
||
content: "\f127";
|
||
}
|
||
.fa-question:before {
|
||
content: "\f128";
|
||
}
|
||
.fa-info:before {
|
||
content: "\f129";
|
||
}
|
||
.fa-exclamation:before {
|
||
content: "\f12a";
|
||
}
|
||
.fa-superscript:before {
|
||
content: "\f12b";
|
||
}
|
||
.fa-subscript:before {
|
||
content: "\f12c";
|
||
}
|
||
.fa-eraser:before {
|
||
content: "\f12d";
|
||
}
|
||
.fa-puzzle-piece:before {
|
||
content: "\f12e";
|
||
}
|
||
.fa-microphone:before {
|
||
content: "\f130";
|
||
}
|
||
.fa-microphone-slash:before {
|
||
content: "\f131";
|
||
}
|
||
.fa-shield:before {
|
||
content: "\f132";
|
||
}
|
||
.fa-calendar-o:before {
|
||
content: "\f133";
|
||
}
|
||
.fa-fire-extinguisher:before {
|
||
content: "\f134";
|
||
}
|
||
.fa-rocket:before {
|
||
content: "\f135";
|
||
}
|
||
.fa-maxcdn:before {
|
||
content: "\f136";
|
||
}
|
||
.fa-chevron-circle-left:before {
|
||
content: "\f137";
|
||
}
|
||
.fa-chevron-circle-right:before {
|
||
content: "\f138";
|
||
}
|
||
.fa-chevron-circle-up:before {
|
||
content: "\f139";
|
||
}
|
||
.fa-chevron-circle-down:before {
|
||
content: "\f13a";
|
||
}
|
||
.fa-html5:before {
|
||
content: "\f13b";
|
||
}
|
||
.fa-css3:before {
|
||
content: "\f13c";
|
||
}
|
||
.fa-anchor:before {
|
||
content: "\f13d";
|
||
}
|
||
.fa-unlock-alt:before {
|
||
content: "\f13e";
|
||
}
|
||
.fa-bullseye:before {
|
||
content: "\f140";
|
||
}
|
||
.fa-ellipsis-h:before {
|
||
content: "\f141";
|
||
}
|
||
.fa-ellipsis-v:before {
|
||
content: "\f142";
|
||
}
|
||
.fa-rss-square:before {
|
||
content: "\f143";
|
||
}
|
||
.fa-play-circle:before {
|
||
content: "\f144";
|
||
}
|
||
.fa-ticket:before {
|
||
content: "\f145";
|
||
}
|
||
.fa-minus-square:before {
|
||
content: "\f146";
|
||
}
|
||
.fa-minus-square-o:before {
|
||
content: "\f147";
|
||
}
|
||
.fa-level-up:before {
|
||
content: "\f148";
|
||
}
|
||
.fa-level-down:before {
|
||
content: "\f149";
|
||
}
|
||
.fa-check-square:before {
|
||
content: "\f14a";
|
||
}
|
||
.fa-pencil-square:before {
|
||
content: "\f14b";
|
||
}
|
||
.fa-external-link-square:before {
|
||
content: "\f14c";
|
||
}
|
||
.fa-share-square:before {
|
||
content: "\f14d";
|
||
}
|
||
.fa-compass:before {
|
||
content: "\f14e";
|
||
}
|
||
.fa-toggle-down:before,
|
||
.fa-caret-square-o-down:before {
|
||
content: "\f150";
|
||
}
|
||
.fa-toggle-up:before,
|
||
.fa-caret-square-o-up:before {
|
||
content: "\f151";
|
||
}
|
||
.fa-toggle-right:before,
|
||
.fa-caret-square-o-right:before {
|
||
content: "\f152";
|
||
}
|
||
.fa-euro:before,
|
||
.fa-eur:before {
|
||
content: "\f153";
|
||
}
|
||
.fa-gbp:before {
|
||
content: "\f154";
|
||
}
|
||
.fa-dollar:before,
|
||
.fa-usd:before {
|
||
content: "\f155";
|
||
}
|
||
.fa-rupee:before,
|
||
.fa-inr:before {
|
||
content: "\f156";
|
||
}
|
||
.fa-cny:before,
|
||
.fa-rmb:before,
|
||
.fa-yen:before,
|
||
.fa-jpy:before {
|
||
content: "\f157";
|
||
}
|
||
.fa-ruble:before,
|
||
.fa-rouble:before,
|
||
.fa-rub:before {
|
||
content: "\f158";
|
||
}
|
||
.fa-won:before,
|
||
.fa-krw:before {
|
||
content: "\f159";
|
||
}
|
||
.fa-bitcoin:before,
|
||
.fa-btc:before {
|
||
content: "\f15a";
|
||
}
|
||
.fa-file:before {
|
||
content: "\f15b";
|
||
}
|
||
.fa-file-text:before {
|
||
content: "\f15c";
|
||
}
|
||
.fa-sort-alpha-asc:before {
|
||
content: "\f15d";
|
||
}
|
||
.fa-sort-alpha-desc:before {
|
||
content: "\f15e";
|
||
}
|
||
.fa-sort-amount-asc:before {
|
||
content: "\f160";
|
||
}
|
||
.fa-sort-amount-desc:before {
|
||
content: "\f161";
|
||
}
|
||
.fa-sort-numeric-asc:before {
|
||
content: "\f162";
|
||
}
|
||
.fa-sort-numeric-desc:before {
|
||
content: "\f163";
|
||
}
|
||
.fa-thumbs-up:before {
|
||
content: "\f164";
|
||
}
|
||
.fa-thumbs-down:before {
|
||
content: "\f165";
|
||
}
|
||
.fa-youtube-square:before {
|
||
content: "\f166";
|
||
}
|
||
.fa-youtube:before {
|
||
content: "\f167";
|
||
}
|
||
.fa-xing:before {
|
||
content: "\f168";
|
||
}
|
||
.fa-xing-square:before {
|
||
content: "\f169";
|
||
}
|
||
.fa-youtube-play:before {
|
||
content: "\f16a";
|
||
}
|
||
.fa-dropbox:before {
|
||
content: "\f16b";
|
||
}
|
||
.fa-stack-overflow:before {
|
||
content: "\f16c";
|
||
}
|
||
.fa-instagram:before {
|
||
content: "\f16d";
|
||
}
|
||
.fa-flickr:before {
|
||
content: "\f16e";
|
||
}
|
||
.fa-adn:before {
|
||
content: "\f170";
|
||
}
|
||
.fa-bitbucket:before {
|
||
content: "\f171";
|
||
}
|
||
.fa-bitbucket-square:before {
|
||
content: "\f172";
|
||
}
|
||
.fa-tumblr:before {
|
||
content: "\f173";
|
||
}
|
||
.fa-tumblr-square:before {
|
||
content: "\f174";
|
||
}
|
||
.fa-long-arrow-down:before {
|
||
content: "\f175";
|
||
}
|
||
.fa-long-arrow-up:before {
|
||
content: "\f176";
|
||
}
|
||
.fa-long-arrow-left:before {
|
||
content: "\f177";
|
||
}
|
||
.fa-long-arrow-right:before {
|
||
content: "\f178";
|
||
}
|
||
.fa-apple:before {
|
||
content: "\f179";
|
||
}
|
||
.fa-windows:before {
|
||
content: "\f17a";
|
||
}
|
||
.fa-android:before {
|
||
content: "\f17b";
|
||
}
|
||
.fa-linux:before {
|
||
content: "\f17c";
|
||
}
|
||
.fa-dribbble:before {
|
||
content: "\f17d";
|
||
}
|
||
.fa-skype:before {
|
||
content: "\f17e";
|
||
}
|
||
.fa-foursquare:before {
|
||
content: "\f180";
|
||
}
|
||
.fa-trello:before {
|
||
content: "\f181";
|
||
}
|
||
.fa-female:before {
|
||
content: "\f182";
|
||
}
|
||
.fa-male:before {
|
||
content: "\f183";
|
||
}
|
||
.fa-gittip:before,
|
||
.fa-gratipay:before {
|
||
content: "\f184";
|
||
}
|
||
.fa-sun-o:before {
|
||
content: "\f185";
|
||
}
|
||
.fa-moon-o:before {
|
||
content: "\f186";
|
||
}
|
||
.fa-archive:before {
|
||
content: "\f187";
|
||
}
|
||
.fa-bug:before {
|
||
content: "\f188";
|
||
}
|
||
.fa-vk:before {
|
||
content: "\f189";
|
||
}
|
||
.fa-weibo:before {
|
||
content: "\f18a";
|
||
}
|
||
.fa-renren:before {
|
||
content: "\f18b";
|
||
}
|
||
.fa-pagelines:before {
|
||
content: "\f18c";
|
||
}
|
||
.fa-stack-exchange:before {
|
||
content: "\f18d";
|
||
}
|
||
.fa-arrow-circle-o-right:before {
|
||
content: "\f18e";
|
||
}
|
||
.fa-arrow-circle-o-left:before {
|
||
content: "\f190";
|
||
}
|
||
.fa-toggle-left:before,
|
||
.fa-caret-square-o-left:before {
|
||
content: "\f191";
|
||
}
|
||
.fa-dot-circle-o:before {
|
||
content: "\f192";
|
||
}
|
||
.fa-wheelchair:before {
|
||
content: "\f193";
|
||
}
|
||
.fa-vimeo-square:before {
|
||
content: "\f194";
|
||
}
|
||
.fa-turkish-lira:before,
|
||
.fa-try:before {
|
||
content: "\f195";
|
||
}
|
||
.fa-plus-square-o:before {
|
||
content: "\f196";
|
||
}
|
||
.fa-space-shuttle:before {
|
||
content: "\f197";
|
||
}
|
||
.fa-slack:before {
|
||
content: "\f198";
|
||
}
|
||
.fa-envelope-square:before {
|
||
content: "\f199";
|
||
}
|
||
.fa-wordpress:before {
|
||
content: "\f19a";
|
||
}
|
||
.fa-openid:before {
|
||
content: "\f19b";
|
||
}
|
||
.fa-institution:before,
|
||
.fa-bank:before,
|
||
.fa-university:before {
|
||
content: "\f19c";
|
||
}
|
||
.fa-mortar-board:before,
|
||
.fa-graduation-cap:before {
|
||
content: "\f19d";
|
||
}
|
||
.fa-yahoo:before {
|
||
content: "\f19e";
|
||
}
|
||
.fa-google:before {
|
||
content: "\f1a0";
|
||
}
|
||
.fa-reddit:before {
|
||
content: "\f1a1";
|
||
}
|
||
.fa-reddit-square:before {
|
||
content: "\f1a2";
|
||
}
|
||
.fa-stumbleupon-circle:before {
|
||
content: "\f1a3";
|
||
}
|
||
.fa-stumbleupon:before {
|
||
content: "\f1a4";
|
||
}
|
||
.fa-delicious:before {
|
||
content: "\f1a5";
|
||
}
|
||
.fa-digg:before {
|
||
content: "\f1a6";
|
||
}
|
||
.fa-pied-piper-pp:before {
|
||
content: "\f1a7";
|
||
}
|
||
.fa-pied-piper-alt:before {
|
||
content: "\f1a8";
|
||
}
|
||
.fa-drupal:before {
|
||
content: "\f1a9";
|
||
}
|
||
.fa-joomla:before {
|
||
content: "\f1aa";
|
||
}
|
||
.fa-language:before {
|
||
content: "\f1ab";
|
||
}
|
||
.fa-fax:before {
|
||
content: "\f1ac";
|
||
}
|
||
.fa-building:before {
|
||
content: "\f1ad";
|
||
}
|
||
.fa-child:before {
|
||
content: "\f1ae";
|
||
}
|
||
.fa-paw:before {
|
||
content: "\f1b0";
|
||
}
|
||
.fa-spoon:before {
|
||
content: "\f1b1";
|
||
}
|
||
.fa-cube:before {
|
||
content: "\f1b2";
|
||
}
|
||
.fa-cubes:before {
|
||
content: "\f1b3";
|
||
}
|
||
.fa-behance:before {
|
||
content: "\f1b4";
|
||
}
|
||
.fa-behance-square:before {
|
||
content: "\f1b5";
|
||
}
|
||
.fa-steam:before {
|
||
content: "\f1b6";
|
||
}
|
||
.fa-steam-square:before {
|
||
content: "\f1b7";
|
||
}
|
||
.fa-recycle:before {
|
||
content: "\f1b8";
|
||
}
|
||
.fa-automobile:before,
|
||
.fa-car:before {
|
||
content: "\f1b9";
|
||
}
|
||
.fa-cab:before,
|
||
.fa-taxi:before {
|
||
content: "\f1ba";
|
||
}
|
||
.fa-tree:before {
|
||
content: "\f1bb";
|
||
}
|
||
.fa-spotify:before {
|
||
content: "\f1bc";
|
||
}
|
||
.fa-deviantart:before {
|
||
content: "\f1bd";
|
||
}
|
||
.fa-soundcloud:before {
|
||
content: "\f1be";
|
||
}
|
||
.fa-database:before {
|
||
content: "\f1c0";
|
||
}
|
||
.fa-file-pdf-o:before {
|
||
content: "\f1c1";
|
||
}
|
||
.fa-file-word-o:before {
|
||
content: "\f1c2";
|
||
}
|
||
.fa-file-excel-o:before {
|
||
content: "\f1c3";
|
||
}
|
||
.fa-file-powerpoint-o:before {
|
||
content: "\f1c4";
|
||
}
|
||
.fa-file-photo-o:before,
|
||
.fa-file-picture-o:before,
|
||
.fa-file-image-o:before {
|
||
content: "\f1c5";
|
||
}
|
||
.fa-file-zip-o:before,
|
||
.fa-file-archive-o:before {
|
||
content: "\f1c6";
|
||
}
|
||
.fa-file-sound-o:before,
|
||
.fa-file-audio-o:before {
|
||
content: "\f1c7";
|
||
}
|
||
.fa-file-movie-o:before,
|
||
.fa-file-video-o:before {
|
||
content: "\f1c8";
|
||
}
|
||
.fa-file-code-o:before {
|
||
content: "\f1c9";
|
||
}
|
||
.fa-vine:before {
|
||
content: "\f1ca";
|
||
}
|
||
.fa-codepen:before {
|
||
content: "\f1cb";
|
||
}
|
||
.fa-jsfiddle:before {
|
||
content: "\f1cc";
|
||
}
|
||
.fa-life-bouy:before,
|
||
.fa-life-buoy:before,
|
||
.fa-life-saver:before,
|
||
.fa-support:before,
|
||
.fa-life-ring:before {
|
||
content: "\f1cd";
|
||
}
|
||
.fa-circle-o-notch:before {
|
||
content: "\f1ce";
|
||
}
|
||
.fa-ra:before,
|
||
.fa-resistance:before,
|
||
.fa-rebel:before {
|
||
content: "\f1d0";
|
||
}
|
||
.fa-ge:before,
|
||
.fa-empire:before {
|
||
content: "\f1d1";
|
||
}
|
||
.fa-git-square:before {
|
||
content: "\f1d2";
|
||
}
|
||
.fa-git:before {
|
||
content: "\f1d3";
|
||
}
|
||
.fa-y-combinator-square:before,
|
||
.fa-yc-square:before,
|
||
.fa-hacker-news:before {
|
||
content: "\f1d4";
|
||
}
|
||
.fa-tencent-weibo:before {
|
||
content: "\f1d5";
|
||
}
|
||
.fa-qq:before {
|
||
content: "\f1d6";
|
||
}
|
||
.fa-wechat:before,
|
||
.fa-weixin:before {
|
||
content: "\f1d7";
|
||
}
|
||
.fa-send:before,
|
||
.fa-paper-plane:before {
|
||
content: "\f1d8";
|
||
}
|
||
.fa-send-o:before,
|
||
.fa-paper-plane-o:before {
|
||
content: "\f1d9";
|
||
}
|
||
.fa-history:before {
|
||
content: "\f1da";
|
||
}
|
||
.fa-circle-thin:before {
|
||
content: "\f1db";
|
||
}
|
||
.fa-header:before {
|
||
content: "\f1dc";
|
||
}
|
||
.fa-paragraph:before {
|
||
content: "\f1dd";
|
||
}
|
||
.fa-sliders:before {
|
||
content: "\f1de";
|
||
}
|
||
.fa-share-alt:before {
|
||
content: "\f1e0";
|
||
}
|
||
.fa-share-alt-square:before {
|
||
content: "\f1e1";
|
||
}
|
||
.fa-bomb:before {
|
||
content: "\f1e2";
|
||
}
|
||
.fa-soccer-ball-o:before,
|
||
.fa-futbol-o:before {
|
||
content: "\f1e3";
|
||
}
|
||
.fa-tty:before {
|
||
content: "\f1e4";
|
||
}
|
||
.fa-binoculars:before {
|
||
content: "\f1e5";
|
||
}
|
||
.fa-plug:before {
|
||
content: "\f1e6";
|
||
}
|
||
.fa-slideshare:before {
|
||
content: "\f1e7";
|
||
}
|
||
.fa-twitch:before {
|
||
content: "\f1e8";
|
||
}
|
||
.fa-yelp:before {
|
||
content: "\f1e9";
|
||
}
|
||
.fa-newspaper-o:before {
|
||
content: "\f1ea";
|
||
}
|
||
.fa-wifi:before {
|
||
content: "\f1eb";
|
||
}
|
||
.fa-calculator:before {
|
||
content: "\f1ec";
|
||
}
|
||
.fa-paypal:before {
|
||
content: "\f1ed";
|
||
}
|
||
.fa-google-wallet:before {
|
||
content: "\f1ee";
|
||
}
|
||
.fa-cc-visa:before {
|
||
content: "\f1f0";
|
||
}
|
||
.fa-cc-mastercard:before {
|
||
content: "\f1f1";
|
||
}
|
||
.fa-cc-discover:before {
|
||
content: "\f1f2";
|
||
}
|
||
.fa-cc-amex:before {
|
||
content: "\f1f3";
|
||
}
|
||
.fa-cc-paypal:before {
|
||
content: "\f1f4";
|
||
}
|
||
.fa-cc-stripe:before {
|
||
content: "\f1f5";
|
||
}
|
||
.fa-bell-slash:before {
|
||
content: "\f1f6";
|
||
}
|
||
.fa-bell-slash-o:before {
|
||
content: "\f1f7";
|
||
}
|
||
.fa-trash:before {
|
||
content: "\f1f8";
|
||
}
|
||
.fa-copyright:before {
|
||
content: "\f1f9";
|
||
}
|
||
.fa-at:before {
|
||
content: "\f1fa";
|
||
}
|
||
.fa-eyedropper:before {
|
||
content: "\f1fb";
|
||
}
|
||
.fa-paint-brush:before {
|
||
content: "\f1fc";
|
||
}
|
||
.fa-birthday-cake:before {
|
||
content: "\f1fd";
|
||
}
|
||
.fa-area-chart:before {
|
||
content: "\f1fe";
|
||
}
|
||
.fa-pie-chart:before {
|
||
content: "\f200";
|
||
}
|
||
.fa-line-chart:before {
|
||
content: "\f201";
|
||
}
|
||
.fa-lastfm:before {
|
||
content: "\f202";
|
||
}
|
||
.fa-lastfm-square:before {
|
||
content: "\f203";
|
||
}
|
||
.fa-toggle-off:before {
|
||
content: "\f204";
|
||
}
|
||
.fa-toggle-on:before {
|
||
content: "\f205";
|
||
}
|
||
.fa-bicycle:before {
|
||
content: "\f206";
|
||
}
|
||
.fa-bus:before {
|
||
content: "\f207";
|
||
}
|
||
.fa-ioxhost:before {
|
||
content: "\f208";
|
||
}
|
||
.fa-angellist:before {
|
||
content: "\f209";
|
||
}
|
||
.fa-cc:before {
|
||
content: "\f20a";
|
||
}
|
||
.fa-shekel:before,
|
||
.fa-sheqel:before,
|
||
.fa-ils:before {
|
||
content: "\f20b";
|
||
}
|
||
.fa-meanpath:before {
|
||
content: "\f20c";
|
||
}
|
||
.fa-buysellads:before {
|
||
content: "\f20d";
|
||
}
|
||
.fa-connectdevelop:before {
|
||
content: "\f20e";
|
||
}
|
||
.fa-dashcube:before {
|
||
content: "\f210";
|
||
}
|
||
.fa-forumbee:before {
|
||
content: "\f211";
|
||
}
|
||
.fa-leanpub:before {
|
||
content: "\f212";
|
||
}
|
||
.fa-sellsy:before {
|
||
content: "\f213";
|
||
}
|
||
.fa-shirtsinbulk:before {
|
||
content: "\f214";
|
||
}
|
||
.fa-simplybuilt:before {
|
||
content: "\f215";
|
||
}
|
||
.fa-skyatlas:before {
|
||
content: "\f216";
|
||
}
|
||
.fa-cart-plus:before {
|
||
content: "\f217";
|
||
}
|
||
.fa-cart-arrow-down:before {
|
||
content: "\f218";
|
||
}
|
||
.fa-diamond:before {
|
||
content: "\f219";
|
||
}
|
||
.fa-ship:before {
|
||
content: "\f21a";
|
||
}
|
||
.fa-user-secret:before {
|
||
content: "\f21b";
|
||
}
|
||
.fa-motorcycle:before {
|
||
content: "\f21c";
|
||
}
|
||
.fa-street-view:before {
|
||
content: "\f21d";
|
||
}
|
||
.fa-heartbeat:before {
|
||
content: "\f21e";
|
||
}
|
||
.fa-venus:before {
|
||
content: "\f221";
|
||
}
|
||
.fa-mars:before {
|
||
content: "\f222";
|
||
}
|
||
.fa-mercury:before {
|
||
content: "\f223";
|
||
}
|
||
.fa-intersex:before,
|
||
.fa-transgender:before {
|
||
content: "\f224";
|
||
}
|
||
.fa-transgender-alt:before {
|
||
content: "\f225";
|
||
}
|
||
.fa-venus-double:before {
|
||
content: "\f226";
|
||
}
|
||
.fa-mars-double:before {
|
||
content: "\f227";
|
||
}
|
||
.fa-venus-mars:before {
|
||
content: "\f228";
|
||
}
|
||
.fa-mars-stroke:before {
|
||
content: "\f229";
|
||
}
|
||
.fa-mars-stroke-v:before {
|
||
content: "\f22a";
|
||
}
|
||
.fa-mars-stroke-h:before {
|
||
content: "\f22b";
|
||
}
|
||
.fa-neuter:before {
|
||
content: "\f22c";
|
||
}
|
||
.fa-genderless:before {
|
||
content: "\f22d";
|
||
}
|
||
.fa-facebook-official:before {
|
||
content: "\f230";
|
||
}
|
||
.fa-pinterest-p:before {
|
||
content: "\f231";
|
||
}
|
||
.fa-whatsapp:before {
|
||
content: "\f232";
|
||
}
|
||
.fa-server:before {
|
||
content: "\f233";
|
||
}
|
||
.fa-user-plus:before {
|
||
content: "\f234";
|
||
}
|
||
.fa-user-times:before {
|
||
content: "\f235";
|
||
}
|
||
.fa-hotel:before,
|
||
.fa-bed:before {
|
||
content: "\f236";
|
||
}
|
||
.fa-viacoin:before {
|
||
content: "\f237";
|
||
}
|
||
.fa-train:before {
|
||
content: "\f238";
|
||
}
|
||
.fa-subway:before {
|
||
content: "\f239";
|
||
}
|
||
.fa-medium:before {
|
||
content: "\f23a";
|
||
}
|
||
.fa-yc:before,
|
||
.fa-y-combinator:before {
|
||
content: "\f23b";
|
||
}
|
||
.fa-optin-monster:before {
|
||
content: "\f23c";
|
||
}
|
||
.fa-opencart:before {
|
||
content: "\f23d";
|
||
}
|
||
.fa-expeditedssl:before {
|
||
content: "\f23e";
|
||
}
|
||
.fa-battery-4:before,
|
||
.fa-battery:before,
|
||
.fa-battery-full:before {
|
||
content: "\f240";
|
||
}
|
||
.fa-battery-3:before,
|
||
.fa-battery-three-quarters:before {
|
||
content: "\f241";
|
||
}
|
||
.fa-battery-2:before,
|
||
.fa-battery-half:before {
|
||
content: "\f242";
|
||
}
|
||
.fa-battery-1:before,
|
||
.fa-battery-quarter:before {
|
||
content: "\f243";
|
||
}
|
||
.fa-battery-0:before,
|
||
.fa-battery-empty:before {
|
||
content: "\f244";
|
||
}
|
||
.fa-mouse-pointer:before {
|
||
content: "\f245";
|
||
}
|
||
.fa-i-cursor:before {
|
||
content: "\f246";
|
||
}
|
||
.fa-object-group:before {
|
||
content: "\f247";
|
||
}
|
||
.fa-object-ungroup:before {
|
||
content: "\f248";
|
||
}
|
||
.fa-sticky-note:before {
|
||
content: "\f249";
|
||
}
|
||
.fa-sticky-note-o:before {
|
||
content: "\f24a";
|
||
}
|
||
.fa-cc-jcb:before {
|
||
content: "\f24b";
|
||
}
|
||
.fa-cc-diners-club:before {
|
||
content: "\f24c";
|
||
}
|
||
.fa-clone:before {
|
||
content: "\f24d";
|
||
}
|
||
.fa-balance-scale:before {
|
||
content: "\f24e";
|
||
}
|
||
.fa-hourglass-o:before {
|
||
content: "\f250";
|
||
}
|
||
.fa-hourglass-1:before,
|
||
.fa-hourglass-start:before {
|
||
content: "\f251";
|
||
}
|
||
.fa-hourglass-2:before,
|
||
.fa-hourglass-half:before {
|
||
content: "\f252";
|
||
}
|
||
.fa-hourglass-3:before,
|
||
.fa-hourglass-end:before {
|
||
content: "\f253";
|
||
}
|
||
.fa-hourglass:before {
|
||
content: "\f254";
|
||
}
|
||
.fa-hand-grab-o:before,
|
||
.fa-hand-rock-o:before {
|
||
content: "\f255";
|
||
}
|
||
.fa-hand-stop-o:before,
|
||
.fa-hand-paper-o:before {
|
||
content: "\f256";
|
||
}
|
||
.fa-hand-scissors-o:before {
|
||
content: "\f257";
|
||
}
|
||
.fa-hand-lizard-o:before {
|
||
content: "\f258";
|
||
}
|
||
.fa-hand-spock-o:before {
|
||
content: "\f259";
|
||
}
|
||
.fa-hand-pointer-o:before {
|
||
content: "\f25a";
|
||
}
|
||
.fa-hand-peace-o:before {
|
||
content: "\f25b";
|
||
}
|
||
.fa-trademark:before {
|
||
content: "\f25c";
|
||
}
|
||
.fa-registered:before {
|
||
content: "\f25d";
|
||
}
|
||
.fa-creative-commons:before {
|
||
content: "\f25e";
|
||
}
|
||
.fa-gg:before {
|
||
content: "\f260";
|
||
}
|
||
.fa-gg-circle:before {
|
||
content: "\f261";
|
||
}
|
||
.fa-tripadvisor:before {
|
||
content: "\f262";
|
||
}
|
||
.fa-odnoklassniki:before {
|
||
content: "\f263";
|
||
}
|
||
.fa-odnoklassniki-square:before {
|
||
content: "\f264";
|
||
}
|
||
.fa-get-pocket:before {
|
||
content: "\f265";
|
||
}
|
||
.fa-wikipedia-w:before {
|
||
content: "\f266";
|
||
}
|
||
.fa-safari:before {
|
||
content: "\f267";
|
||
}
|
||
.fa-chrome:before {
|
||
content: "\f268";
|
||
}
|
||
.fa-firefox:before {
|
||
content: "\f269";
|
||
}
|
||
.fa-opera:before {
|
||
content: "\f26a";
|
||
}
|
||
.fa-internet-explorer:before {
|
||
content: "\f26b";
|
||
}
|
||
.fa-tv:before,
|
||
.fa-television:before {
|
||
content: "\f26c";
|
||
}
|
||
.fa-contao:before {
|
||
content: "\f26d";
|
||
}
|
||
.fa-500px:before {
|
||
content: "\f26e";
|
||
}
|
||
.fa-amazon:before {
|
||
content: "\f270";
|
||
}
|
||
.fa-calendar-plus-o:before {
|
||
content: "\f271";
|
||
}
|
||
.fa-calendar-minus-o:before {
|
||
content: "\f272";
|
||
}
|
||
.fa-calendar-times-o:before {
|
||
content: "\f273";
|
||
}
|
||
.fa-calendar-check-o:before {
|
||
content: "\f274";
|
||
}
|
||
.fa-industry:before {
|
||
content: "\f275";
|
||
}
|
||
.fa-map-pin:before {
|
||
content: "\f276";
|
||
}
|
||
.fa-map-signs:before {
|
||
content: "\f277";
|
||
}
|
||
.fa-map-o:before {
|
||
content: "\f278";
|
||
}
|
||
.fa-map:before {
|
||
content: "\f279";
|
||
}
|
||
.fa-commenting:before {
|
||
content: "\f27a";
|
||
}
|
||
.fa-commenting-o:before {
|
||
content: "\f27b";
|
||
}
|
||
.fa-houzz:before {
|
||
content: "\f27c";
|
||
}
|
||
.fa-vimeo:before {
|
||
content: "\f27d";
|
||
}
|
||
.fa-black-tie:before {
|
||
content: "\f27e";
|
||
}
|
||
.fa-fonticons:before {
|
||
content: "\f280";
|
||
}
|
||
.fa-reddit-alien:before {
|
||
content: "\f281";
|
||
}
|
||
.fa-edge:before {
|
||
content: "\f282";
|
||
}
|
||
.fa-credit-card-alt:before {
|
||
content: "\f283";
|
||
}
|
||
.fa-codiepie:before {
|
||
content: "\f284";
|
||
}
|
||
.fa-modx:before {
|
||
content: "\f285";
|
||
}
|
||
.fa-fort-awesome:before {
|
||
content: "\f286";
|
||
}
|
||
.fa-usb:before {
|
||
content: "\f287";
|
||
}
|
||
.fa-product-hunt:before {
|
||
content: "\f288";
|
||
}
|
||
.fa-mixcloud:before {
|
||
content: "\f289";
|
||
}
|
||
.fa-scribd:before {
|
||
content: "\f28a";
|
||
}
|
||
.fa-pause-circle:before {
|
||
content: "\f28b";
|
||
}
|
||
.fa-pause-circle-o:before {
|
||
content: "\f28c";
|
||
}
|
||
.fa-stop-circle:before {
|
||
content: "\f28d";
|
||
}
|
||
.fa-stop-circle-o:before {
|
||
content: "\f28e";
|
||
}
|
||
.fa-shopping-bag:before {
|
||
content: "\f290";
|
||
}
|
||
.fa-shopping-basket:before {
|
||
content: "\f291";
|
||
}
|
||
.fa-hashtag:before {
|
||
content: "\f292";
|
||
}
|
||
.fa-bluetooth:before {
|
||
content: "\f293";
|
||
}
|
||
.fa-bluetooth-b:before {
|
||
content: "\f294";
|
||
}
|
||
.fa-percent:before {
|
||
content: "\f295";
|
||
}
|
||
.fa-gitlab:before {
|
||
content: "\f296";
|
||
}
|
||
.fa-wpbeginner:before {
|
||
content: "\f297";
|
||
}
|
||
.fa-wpforms:before {
|
||
content: "\f298";
|
||
}
|
||
.fa-envira:before {
|
||
content: "\f299";
|
||
}
|
||
.fa-universal-access:before {
|
||
content: "\f29a";
|
||
}
|
||
.fa-wheelchair-alt:before {
|
||
content: "\f29b";
|
||
}
|
||
.fa-question-circle-o:before {
|
||
content: "\f29c";
|
||
}
|
||
.fa-blind:before {
|
||
content: "\f29d";
|
||
}
|
||
.fa-audio-description:before {
|
||
content: "\f29e";
|
||
}
|
||
.fa-volume-control-phone:before {
|
||
content: "\f2a0";
|
||
}
|
||
.fa-braille:before {
|
||
content: "\f2a1";
|
||
}
|
||
.fa-assistive-listening-systems:before {
|
||
content: "\f2a2";
|
||
}
|
||
.fa-asl-interpreting:before,
|
||
.fa-american-sign-language-interpreting:before {
|
||
content: "\f2a3";
|
||
}
|
||
.fa-deafness:before,
|
||
.fa-hard-of-hearing:before,
|
||
.fa-deaf:before {
|
||
content: "\f2a4";
|
||
}
|
||
.fa-glide:before {
|
||
content: "\f2a5";
|
||
}
|
||
.fa-glide-g:before {
|
||
content: "\f2a6";
|
||
}
|
||
.fa-signing:before,
|
||
.fa-sign-language:before {
|
||
content: "\f2a7";
|
||
}
|
||
.fa-low-vision:before {
|
||
content: "\f2a8";
|
||
}
|
||
.fa-viadeo:before {
|
||
content: "\f2a9";
|
||
}
|
||
.fa-viadeo-square:before {
|
||
content: "\f2aa";
|
||
}
|
||
.fa-snapchat:before {
|
||
content: "\f2ab";
|
||
}
|
||
.fa-snapchat-ghost:before {
|
||
content: "\f2ac";
|
||
}
|
||
.fa-snapchat-square:before {
|
||
content: "\f2ad";
|
||
}
|
||
.fa-pied-piper:before {
|
||
content: "\f2ae";
|
||
}
|
||
.fa-first-order:before {
|
||
content: "\f2b0";
|
||
}
|
||
.fa-yoast:before {
|
||
content: "\f2b1";
|
||
}
|
||
.fa-themeisle:before {
|
||
content: "\f2b2";
|
||
}
|
||
.fa-google-plus-circle:before,
|
||
.fa-google-plus-official:before {
|
||
content: "\f2b3";
|
||
}
|
||
.fa-fa:before,
|
||
.fa-font-awesome:before {
|
||
content: "\f2b4";
|
||
}
|
||
.fa-handshake-o:before {
|
||
content: "\f2b5";
|
||
}
|
||
.fa-envelope-open:before {
|
||
content: "\f2b6";
|
||
}
|
||
.fa-envelope-open-o:before {
|
||
content: "\f2b7";
|
||
}
|
||
.fa-linode:before {
|
||
content: "\f2b8";
|
||
}
|
||
.fa-address-book:before {
|
||
content: "\f2b9";
|
||
}
|
||
.fa-address-book-o:before {
|
||
content: "\f2ba";
|
||
}
|
||
.fa-vcard:before,
|
||
.fa-address-card:before {
|
||
content: "\f2bb";
|
||
}
|
||
.fa-vcard-o:before,
|
||
.fa-address-card-o:before {
|
||
content: "\f2bc";
|
||
}
|
||
.fa-user-circle:before {
|
||
content: "\f2bd";
|
||
}
|
||
.fa-user-circle-o:before {
|
||
content: "\f2be";
|
||
}
|
||
.fa-user-o:before {
|
||
content: "\f2c0";
|
||
}
|
||
.fa-id-badge:before {
|
||
content: "\f2c1";
|
||
}
|
||
.fa-drivers-license:before,
|
||
.fa-id-card:before {
|
||
content: "\f2c2";
|
||
}
|
||
.fa-drivers-license-o:before,
|
||
.fa-id-card-o:before {
|
||
content: "\f2c3";
|
||
}
|
||
.fa-quora:before {
|
||
content: "\f2c4";
|
||
}
|
||
.fa-free-code-camp:before {
|
||
content: "\f2c5";
|
||
}
|
||
.fa-telegram:before {
|
||
content: "\f2c6";
|
||
}
|
||
.fa-thermometer-4:before,
|
||
.fa-thermometer:before,
|
||
.fa-thermometer-full:before {
|
||
content: "\f2c7";
|
||
}
|
||
.fa-thermometer-3:before,
|
||
.fa-thermometer-three-quarters:before {
|
||
content: "\f2c8";
|
||
}
|
||
.fa-thermometer-2:before,
|
||
.fa-thermometer-half:before {
|
||
content: "\f2c9";
|
||
}
|
||
.fa-thermometer-1:before,
|
||
.fa-thermometer-quarter:before {
|
||
content: "\f2ca";
|
||
}
|
||
.fa-thermometer-0:before,
|
||
.fa-thermometer-empty:before {
|
||
content: "\f2cb";
|
||
}
|
||
.fa-shower:before {
|
||
content: "\f2cc";
|
||
}
|
||
.fa-bathtub:before,
|
||
.fa-s15:before,
|
||
.fa-bath:before {
|
||
content: "\f2cd";
|
||
}
|
||
.fa-podcast:before {
|
||
content: "\f2ce";
|
||
}
|
||
.fa-window-maximize:before {
|
||
content: "\f2d0";
|
||
}
|
||
.fa-window-minimize:before {
|
||
content: "\f2d1";
|
||
}
|
||
.fa-window-restore:before {
|
||
content: "\f2d2";
|
||
}
|
||
.fa-times-rectangle:before,
|
||
.fa-window-close:before {
|
||
content: "\f2d3";
|
||
}
|
||
.fa-times-rectangle-o:before,
|
||
.fa-window-close-o:before {
|
||
content: "\f2d4";
|
||
}
|
||
.fa-bandcamp:before {
|
||
content: "\f2d5";
|
||
}
|
||
.fa-grav:before {
|
||
content: "\f2d6";
|
||
}
|
||
.fa-etsy:before {
|
||
content: "\f2d7";
|
||
}
|
||
.fa-imdb:before {
|
||
content: "\f2d8";
|
||
}
|
||
.fa-ravelry:before {
|
||
content: "\f2d9";
|
||
}
|
||
.fa-eercast:before {
|
||
content: "\f2da";
|
||
}
|
||
.fa-microchip:before {
|
||
content: "\f2db";
|
||
}
|
||
.fa-snowflake-o:before {
|
||
content: "\f2dc";
|
||
}
|
||
.fa-superpowers:before {
|
||
content: "\f2dd";
|
||
}
|
||
.fa-wpexplorer:before {
|
||
content: "\f2de";
|
||
}
|
||
.fa-meetup:before {
|
||
content: "\f2e0";
|
||
}
|
||
.sr-only {
|
||
position: absolute;
|
||
width: 1px;
|
||
height: 1px;
|
||
padding: 0;
|
||
margin: -1px;
|
||
overflow: hidden;
|
||
clip: rect(0, 0, 0, 0);
|
||
border: 0;
|
||
}
|
||
.sr-only-focusable:active,
|
||
.sr-only-focusable:focus {
|
||
position: static;
|
||
width: auto;
|
||
height: auto;
|
||
margin: 0;
|
||
overflow: visible;
|
||
clip: auto;
|
||
}
|
||
.sr-only-focusable:active,
|
||
.sr-only-focusable:focus {
|
||
position: static;
|
||
width: auto;
|
||
height: auto;
|
||
margin: 0;
|
||
overflow: visible;
|
||
clip: auto;
|
||
}
|
||
/*!
|
||
*
|
||
* IPython base
|
||
*
|
||
*/
|
||
.modal.fade .modal-dialog {
|
||
-webkit-transform: translate(0, 0);
|
||
-ms-transform: translate(0, 0);
|
||
-o-transform: translate(0, 0);
|
||
transform: translate(0, 0);
|
||
}
|
||
code {
|
||
color: #000;
|
||
}
|
||
pre {
|
||
font-size: inherit;
|
||
line-height: inherit;
|
||
}
|
||
label {
|
||
font-weight: normal;
|
||
}
|
||
/* Make the page background atleast 100% the height of the view port */
|
||
/* Make the page itself atleast 70% the height of the view port */
|
||
.border-box-sizing {
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
}
|
||
.corner-all {
|
||
border-radius: 2px;
|
||
}
|
||
.no-padding {
|
||
padding: 0px;
|
||
}
|
||
/* Flexible box model classes */
|
||
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
|
||
/* This file is a compatability layer. It allows the usage of flexible box
|
||
model layouts accross multiple browsers, including older browsers. The newest,
|
||
universal implementation of the flexible box model is used when available (see
|
||
`Modern browsers` comments below). Browsers that are known to implement this
|
||
new spec completely include:
|
||
|
||
Firefox 28.0+
|
||
Chrome 29.0+
|
||
Internet Explorer 11+
|
||
Opera 17.0+
|
||
|
||
Browsers not listed, including Safari, are supported via the styling under the
|
||
`Old browsers` comments below.
|
||
*/
|
||
.hbox {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
}
|
||
.hbox > * {
|
||
/* Old browsers */
|
||
-webkit-box-flex: 0;
|
||
-moz-box-flex: 0;
|
||
box-flex: 0;
|
||
/* Modern browsers */
|
||
flex: none;
|
||
}
|
||
.vbox {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
}
|
||
.vbox > * {
|
||
/* Old browsers */
|
||
-webkit-box-flex: 0;
|
||
-moz-box-flex: 0;
|
||
box-flex: 0;
|
||
/* Modern browsers */
|
||
flex: none;
|
||
}
|
||
.hbox.reverse,
|
||
.vbox.reverse,
|
||
.reverse {
|
||
/* Old browsers */
|
||
-webkit-box-direction: reverse;
|
||
-moz-box-direction: reverse;
|
||
box-direction: reverse;
|
||
/* Modern browsers */
|
||
flex-direction: row-reverse;
|
||
}
|
||
.hbox.box-flex0,
|
||
.vbox.box-flex0,
|
||
.box-flex0 {
|
||
/* Old browsers */
|
||
-webkit-box-flex: 0;
|
||
-moz-box-flex: 0;
|
||
box-flex: 0;
|
||
/* Modern browsers */
|
||
flex: none;
|
||
width: auto;
|
||
}
|
||
.hbox.box-flex1,
|
||
.vbox.box-flex1,
|
||
.box-flex1 {
|
||
/* Old browsers */
|
||
-webkit-box-flex: 1;
|
||
-moz-box-flex: 1;
|
||
box-flex: 1;
|
||
/* Modern browsers */
|
||
flex: 1;
|
||
}
|
||
.hbox.box-flex,
|
||
.vbox.box-flex,
|
||
.box-flex {
|
||
/* Old browsers */
|
||
/* Old browsers */
|
||
-webkit-box-flex: 1;
|
||
-moz-box-flex: 1;
|
||
box-flex: 1;
|
||
/* Modern browsers */
|
||
flex: 1;
|
||
}
|
||
.hbox.box-flex2,
|
||
.vbox.box-flex2,
|
||
.box-flex2 {
|
||
/* Old browsers */
|
||
-webkit-box-flex: 2;
|
||
-moz-box-flex: 2;
|
||
box-flex: 2;
|
||
/* Modern browsers */
|
||
flex: 2;
|
||
}
|
||
.box-group1 {
|
||
/* Deprecated */
|
||
-webkit-box-flex-group: 1;
|
||
-moz-box-flex-group: 1;
|
||
box-flex-group: 1;
|
||
}
|
||
.box-group2 {
|
||
/* Deprecated */
|
||
-webkit-box-flex-group: 2;
|
||
-moz-box-flex-group: 2;
|
||
box-flex-group: 2;
|
||
}
|
||
.hbox.start,
|
||
.vbox.start,
|
||
.start {
|
||
/* Old browsers */
|
||
-webkit-box-pack: start;
|
||
-moz-box-pack: start;
|
||
box-pack: start;
|
||
/* Modern browsers */
|
||
justify-content: flex-start;
|
||
}
|
||
.hbox.end,
|
||
.vbox.end,
|
||
.end {
|
||
/* Old browsers */
|
||
-webkit-box-pack: end;
|
||
-moz-box-pack: end;
|
||
box-pack: end;
|
||
/* Modern browsers */
|
||
justify-content: flex-end;
|
||
}
|
||
.hbox.center,
|
||
.vbox.center,
|
||
.center {
|
||
/* Old browsers */
|
||
-webkit-box-pack: center;
|
||
-moz-box-pack: center;
|
||
box-pack: center;
|
||
/* Modern browsers */
|
||
justify-content: center;
|
||
}
|
||
.hbox.baseline,
|
||
.vbox.baseline,
|
||
.baseline {
|
||
/* Old browsers */
|
||
-webkit-box-pack: baseline;
|
||
-moz-box-pack: baseline;
|
||
box-pack: baseline;
|
||
/* Modern browsers */
|
||
justify-content: baseline;
|
||
}
|
||
.hbox.stretch,
|
||
.vbox.stretch,
|
||
.stretch {
|
||
/* Old browsers */
|
||
-webkit-box-pack: stretch;
|
||
-moz-box-pack: stretch;
|
||
box-pack: stretch;
|
||
/* Modern browsers */
|
||
justify-content: stretch;
|
||
}
|
||
.hbox.align-start,
|
||
.vbox.align-start,
|
||
.align-start {
|
||
/* Old browsers */
|
||
-webkit-box-align: start;
|
||
-moz-box-align: start;
|
||
box-align: start;
|
||
/* Modern browsers */
|
||
align-items: flex-start;
|
||
}
|
||
.hbox.align-end,
|
||
.vbox.align-end,
|
||
.align-end {
|
||
/* Old browsers */
|
||
-webkit-box-align: end;
|
||
-moz-box-align: end;
|
||
box-align: end;
|
||
/* Modern browsers */
|
||
align-items: flex-end;
|
||
}
|
||
.hbox.align-center,
|
||
.vbox.align-center,
|
||
.align-center {
|
||
/* Old browsers */
|
||
-webkit-box-align: center;
|
||
-moz-box-align: center;
|
||
box-align: center;
|
||
/* Modern browsers */
|
||
align-items: center;
|
||
}
|
||
.hbox.align-baseline,
|
||
.vbox.align-baseline,
|
||
.align-baseline {
|
||
/* Old browsers */
|
||
-webkit-box-align: baseline;
|
||
-moz-box-align: baseline;
|
||
box-align: baseline;
|
||
/* Modern browsers */
|
||
align-items: baseline;
|
||
}
|
||
.hbox.align-stretch,
|
||
.vbox.align-stretch,
|
||
.align-stretch {
|
||
/* Old browsers */
|
||
-webkit-box-align: stretch;
|
||
-moz-box-align: stretch;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
align-items: stretch;
|
||
}
|
||
div.error {
|
||
margin: 2em;
|
||
text-align: center;
|
||
}
|
||
div.error > h1 {
|
||
font-size: 500%;
|
||
line-height: normal;
|
||
}
|
||
div.error > p {
|
||
font-size: 200%;
|
||
line-height: normal;
|
||
}
|
||
div.traceback-wrapper {
|
||
text-align: left;
|
||
max-width: 800px;
|
||
margin: auto;
|
||
}
|
||
div.traceback-wrapper pre.traceback {
|
||
max-height: 600px;
|
||
overflow: auto;
|
||
}
|
||
/**
|
||
* Primary styles
|
||
*
|
||
* Author: Jupyter Development Team
|
||
*/
|
||
body {
|
||
background-color: #fff;
|
||
/* This makes sure that the body covers the entire window and needs to
|
||
be in a different element than the display: box in wrapper below */
|
||
position: absolute;
|
||
left: 0px;
|
||
right: 0px;
|
||
top: 0px;
|
||
bottom: 0px;
|
||
overflow: visible;
|
||
}
|
||
body > #header {
|
||
/* Initially hidden to prevent FLOUC */
|
||
display: none;
|
||
background-color: #fff;
|
||
/* Display over codemirror */
|
||
position: relative;
|
||
z-index: 100;
|
||
}
|
||
body > #header #header-container {
|
||
display: flex;
|
||
flex-direction: row;
|
||
justify-content: space-between;
|
||
padding: 5px;
|
||
padding-bottom: 5px;
|
||
padding-top: 5px;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
}
|
||
body > #header .header-bar {
|
||
width: 100%;
|
||
height: 1px;
|
||
background: #e7e7e7;
|
||
margin-bottom: -1px;
|
||
}
|
||
@media print {
|
||
body > #header {
|
||
display: none !important;
|
||
}
|
||
}
|
||
#header-spacer {
|
||
width: 100%;
|
||
visibility: hidden;
|
||
}
|
||
@media print {
|
||
#header-spacer {
|
||
display: none;
|
||
}
|
||
}
|
||
#ipython_notebook {
|
||
padding-left: 0px;
|
||
padding-top: 1px;
|
||
padding-bottom: 1px;
|
||
}
|
||
[dir="rtl"] #ipython_notebook {
|
||
margin-right: 10px;
|
||
margin-left: 0;
|
||
}
|
||
[dir="rtl"] #ipython_notebook.pull-left {
|
||
float: right !important;
|
||
float: right;
|
||
}
|
||
.flex-spacer {
|
||
flex: 1;
|
||
}
|
||
#noscript {
|
||
width: auto;
|
||
padding-top: 16px;
|
||
padding-bottom: 16px;
|
||
text-align: center;
|
||
font-size: 22px;
|
||
color: red;
|
||
font-weight: bold;
|
||
}
|
||
#ipython_notebook img {
|
||
height: 28px;
|
||
}
|
||
#site {
|
||
width: 100%;
|
||
display: none;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
overflow: auto;
|
||
}
|
||
@media print {
|
||
#site {
|
||
height: auto !important;
|
||
}
|
||
}
|
||
/* Smaller buttons */
|
||
.ui-button .ui-button-text {
|
||
padding: 0.2em 0.8em;
|
||
font-size: 77%;
|
||
}
|
||
input.ui-button {
|
||
padding: 0.3em 0.9em;
|
||
}
|
||
span#kernel_logo_widget {
|
||
margin: 0 10px;
|
||
}
|
||
span#login_widget {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] span#login_widget {
|
||
float: left;
|
||
}
|
||
span#login_widget > .button,
|
||
#logout {
|
||
color: #333;
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
span#login_widget > .button:focus,
|
||
#logout:focus,
|
||
span#login_widget > .button.focus,
|
||
#logout.focus {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #8c8c8c;
|
||
}
|
||
span#login_widget > .button:hover,
|
||
#logout:hover {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
span#login_widget > .button:active,
|
||
#logout:active,
|
||
span#login_widget > .button.active,
|
||
#logout.active,
|
||
.open > .dropdown-togglespan#login_widget > .button,
|
||
.open > .dropdown-toggle#logout {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
span#login_widget > .button:active:hover,
|
||
#logout:active:hover,
|
||
span#login_widget > .button.active:hover,
|
||
#logout.active:hover,
|
||
.open > .dropdown-togglespan#login_widget > .button:hover,
|
||
.open > .dropdown-toggle#logout:hover,
|
||
span#login_widget > .button:active:focus,
|
||
#logout:active:focus,
|
||
span#login_widget > .button.active:focus,
|
||
#logout.active:focus,
|
||
.open > .dropdown-togglespan#login_widget > .button:focus,
|
||
.open > .dropdown-toggle#logout:focus,
|
||
span#login_widget > .button:active.focus,
|
||
#logout:active.focus,
|
||
span#login_widget > .button.active.focus,
|
||
#logout.active.focus,
|
||
.open > .dropdown-togglespan#login_widget > .button.focus,
|
||
.open > .dropdown-toggle#logout.focus {
|
||
color: #333;
|
||
background-color: #d4d4d4;
|
||
border-color: #8c8c8c;
|
||
}
|
||
span#login_widget > .button:active,
|
||
#logout:active,
|
||
span#login_widget > .button.active,
|
||
#logout.active,
|
||
.open > .dropdown-togglespan#login_widget > .button,
|
||
.open > .dropdown-toggle#logout {
|
||
background-image: none;
|
||
}
|
||
span#login_widget > .button.disabled:hover,
|
||
#logout.disabled:hover,
|
||
span#login_widget > .button[disabled]:hover,
|
||
#logout[disabled]:hover,
|
||
fieldset[disabled] span#login_widget > .button:hover,
|
||
fieldset[disabled] #logout:hover,
|
||
span#login_widget > .button.disabled:focus,
|
||
#logout.disabled:focus,
|
||
span#login_widget > .button[disabled]:focus,
|
||
#logout[disabled]:focus,
|
||
fieldset[disabled] span#login_widget > .button:focus,
|
||
fieldset[disabled] #logout:focus,
|
||
span#login_widget > .button.disabled.focus,
|
||
#logout.disabled.focus,
|
||
span#login_widget > .button[disabled].focus,
|
||
#logout[disabled].focus,
|
||
fieldset[disabled] span#login_widget > .button.focus,
|
||
fieldset[disabled] #logout.focus {
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
span#login_widget > .button .badge,
|
||
#logout .badge {
|
||
color: #fff;
|
||
background-color: #333;
|
||
}
|
||
.nav-header {
|
||
text-transform: none;
|
||
}
|
||
#header > span {
|
||
margin-top: 10px;
|
||
}
|
||
.modal_stretch .modal-dialog {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
min-height: 80vh;
|
||
}
|
||
.modal_stretch .modal-dialog .modal-body {
|
||
max-height: calc(100vh - 200px);
|
||
overflow: auto;
|
||
flex: 1;
|
||
}
|
||
.modal-header {
|
||
cursor: move;
|
||
}
|
||
@media (min-width: 768px) {
|
||
.modal .modal-dialog {
|
||
width: 700px;
|
||
}
|
||
}
|
||
@media (min-width: 768px) {
|
||
select.form-control {
|
||
margin-left: 12px;
|
||
margin-right: 12px;
|
||
}
|
||
}
|
||
/*!
|
||
*
|
||
* IPython auth
|
||
*
|
||
*/
|
||
.center-nav {
|
||
display: inline-block;
|
||
margin-bottom: -4px;
|
||
}
|
||
[dir="rtl"] .center-nav form.pull-left {
|
||
float: right !important;
|
||
float: right;
|
||
}
|
||
[dir="rtl"] .center-nav .navbar-text {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] .navbar-inner {
|
||
text-align: right;
|
||
}
|
||
[dir="rtl"] div.text-left {
|
||
text-align: right;
|
||
}
|
||
/*!
|
||
*
|
||
* IPython tree view
|
||
*
|
||
*/
|
||
/* We need an invisible input field on top of the sentense*/
|
||
/* "Drag file onto the list ..." */
|
||
.alternate_upload {
|
||
background-color: none;
|
||
display: inline;
|
||
}
|
||
.alternate_upload.form {
|
||
padding: 0;
|
||
margin: 0;
|
||
}
|
||
.alternate_upload input.fileinput {
|
||
position: absolute;
|
||
display: block;
|
||
width: 100%;
|
||
height: 100%;
|
||
overflow: hidden;
|
||
cursor: pointer;
|
||
opacity: 0;
|
||
z-index: 2;
|
||
}
|
||
.alternate_upload .btn-xs > input.fileinput {
|
||
margin: -1px -5px;
|
||
}
|
||
.alternate_upload .btn-upload {
|
||
position: relative;
|
||
height: 22px;
|
||
}
|
||
::-webkit-file-upload-button {
|
||
cursor: pointer;
|
||
}
|
||
/**
|
||
* Primary styles
|
||
*
|
||
* Author: Jupyter Development Team
|
||
*/
|
||
ul#tabs {
|
||
margin-bottom: 4px;
|
||
}
|
||
ul#tabs a {
|
||
padding-top: 6px;
|
||
padding-bottom: 4px;
|
||
}
|
||
[dir="rtl"] ul#tabs.nav-tabs > li {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] ul#tabs.nav.nav-tabs {
|
||
padding-right: 0;
|
||
}
|
||
ul.breadcrumb a:focus,
|
||
ul.breadcrumb a:hover {
|
||
text-decoration: none;
|
||
}
|
||
ul.breadcrumb i.icon-home {
|
||
font-size: 16px;
|
||
margin-right: 4px;
|
||
}
|
||
ul.breadcrumb span {
|
||
color: #5e5e5e;
|
||
}
|
||
.list_toolbar {
|
||
padding: 4px 0 4px 0;
|
||
vertical-align: middle;
|
||
}
|
||
.list_toolbar .tree-buttons {
|
||
padding-top: 1px;
|
||
}
|
||
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
[dir="rtl"] .list_toolbar .col-sm-4,
|
||
[dir="rtl"] .list_toolbar .col-sm-8 {
|
||
float: right;
|
||
}
|
||
.dynamic-buttons {
|
||
padding-top: 3px;
|
||
display: inline-block;
|
||
}
|
||
.list_toolbar [class*="span"] {
|
||
min-height: 24px;
|
||
}
|
||
.list_header {
|
||
font-weight: bold;
|
||
background-color: #EEE;
|
||
}
|
||
.list_placeholder {
|
||
font-weight: bold;
|
||
padding-top: 4px;
|
||
padding-bottom: 4px;
|
||
padding-left: 7px;
|
||
padding-right: 7px;
|
||
}
|
||
.list_container {
|
||
margin-top: 4px;
|
||
margin-bottom: 20px;
|
||
border: 1px solid #ddd;
|
||
border-radius: 2px;
|
||
}
|
||
.list_container > div {
|
||
border-bottom: 1px solid #ddd;
|
||
}
|
||
.list_container > div:hover .list-item {
|
||
background-color: red;
|
||
}
|
||
.list_container > div:last-child {
|
||
border: none;
|
||
}
|
||
.list_item:hover .list_item {
|
||
background-color: #ddd;
|
||
}
|
||
.list_item a {
|
||
text-decoration: none;
|
||
}
|
||
.list_item:hover {
|
||
background-color: #fafafa;
|
||
}
|
||
.list_header > div,
|
||
.list_item > div {
|
||
padding-top: 4px;
|
||
padding-bottom: 4px;
|
||
padding-left: 7px;
|
||
padding-right: 7px;
|
||
line-height: 22px;
|
||
}
|
||
.list_header > div input,
|
||
.list_item > div input {
|
||
margin-right: 7px;
|
||
margin-left: 14px;
|
||
vertical-align: text-bottom;
|
||
line-height: 22px;
|
||
position: relative;
|
||
top: -1px;
|
||
}
|
||
.list_header > div .item_link,
|
||
.list_item > div .item_link {
|
||
margin-left: -1px;
|
||
vertical-align: baseline;
|
||
line-height: 22px;
|
||
}
|
||
[dir="rtl"] .list_item > div input {
|
||
margin-right: 0;
|
||
}
|
||
.new-file input[type=checkbox] {
|
||
visibility: hidden;
|
||
}
|
||
.item_name {
|
||
line-height: 22px;
|
||
height: 24px;
|
||
}
|
||
.item_icon {
|
||
font-size: 14px;
|
||
color: #5e5e5e;
|
||
margin-right: 7px;
|
||
margin-left: 7px;
|
||
line-height: 22px;
|
||
vertical-align: baseline;
|
||
}
|
||
.item_modified {
|
||
margin-right: 7px;
|
||
margin-left: 7px;
|
||
}
|
||
[dir="rtl"] .item_modified.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.item_buttons {
|
||
line-height: 1em;
|
||
margin-left: -5px;
|
||
}
|
||
.item_buttons .btn,
|
||
.item_buttons .btn-group,
|
||
.item_buttons .input-group {
|
||
float: left;
|
||
}
|
||
.item_buttons > .btn,
|
||
.item_buttons > .btn-group,
|
||
.item_buttons > .input-group {
|
||
margin-left: 5px;
|
||
}
|
||
.item_buttons .btn {
|
||
min-width: 13ex;
|
||
}
|
||
.item_buttons .running-indicator {
|
||
padding-top: 4px;
|
||
color: #5cb85c;
|
||
}
|
||
.item_buttons .kernel-name {
|
||
padding-top: 4px;
|
||
color: #5bc0de;
|
||
margin-right: 7px;
|
||
float: left;
|
||
}
|
||
[dir="rtl"] .item_buttons.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
[dir="rtl"] .item_buttons .kernel-name {
|
||
margin-left: 7px;
|
||
float: right;
|
||
}
|
||
.toolbar_info {
|
||
height: 24px;
|
||
line-height: 24px;
|
||
}
|
||
.list_item input:not([type=checkbox]) {
|
||
padding-top: 3px;
|
||
padding-bottom: 3px;
|
||
height: 22px;
|
||
line-height: 14px;
|
||
margin: 0px;
|
||
}
|
||
.highlight_text {
|
||
color: blue;
|
||
}
|
||
#project_name {
|
||
display: inline-block;
|
||
padding-left: 7px;
|
||
margin-left: -2px;
|
||
}
|
||
#project_name > .breadcrumb {
|
||
padding: 0px;
|
||
margin-bottom: 0px;
|
||
background-color: transparent;
|
||
font-weight: bold;
|
||
}
|
||
.sort_button {
|
||
display: inline-block;
|
||
padding-left: 7px;
|
||
}
|
||
[dir="rtl"] .sort_button.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
#tree-selector {
|
||
padding-right: 0px;
|
||
}
|
||
#button-select-all {
|
||
min-width: 50px;
|
||
}
|
||
[dir="rtl"] #button-select-all.btn {
|
||
float: right ;
|
||
}
|
||
#select-all {
|
||
margin-left: 7px;
|
||
margin-right: 2px;
|
||
margin-top: 2px;
|
||
height: 16px;
|
||
}
|
||
[dir="rtl"] #select-all.pull-left {
|
||
float: right !important;
|
||
float: right;
|
||
}
|
||
.menu_icon {
|
||
margin-right: 2px;
|
||
}
|
||
.tab-content .row {
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
}
|
||
.folder_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f114";
|
||
}
|
||
.folder_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.folder_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.folder_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.folder_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.notebook_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f02d";
|
||
position: relative;
|
||
top: -1px;
|
||
}
|
||
.notebook_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.notebook_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.notebook_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.notebook_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.running_notebook_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f02d";
|
||
position: relative;
|
||
top: -1px;
|
||
color: #5cb85c;
|
||
}
|
||
.running_notebook_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.running_notebook_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.running_notebook_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.running_notebook_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.file_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f016";
|
||
position: relative;
|
||
top: -2px;
|
||
}
|
||
.file_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.file_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.file_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.file_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
#notebook_toolbar .pull-right {
|
||
padding-top: 0px;
|
||
margin-right: -1px;
|
||
}
|
||
ul#new-menu {
|
||
left: auto;
|
||
right: 0;
|
||
}
|
||
#new-menu .dropdown-header {
|
||
font-size: 10px;
|
||
border-bottom: 1px solid #e5e5e5;
|
||
padding: 0 0 3px;
|
||
margin: -3px 20px 0;
|
||
}
|
||
.kernel-menu-icon {
|
||
padding-right: 12px;
|
||
width: 24px;
|
||
content: "\f096";
|
||
}
|
||
.kernel-menu-icon:before {
|
||
content: "\f096";
|
||
}
|
||
.kernel-menu-icon-current:before {
|
||
content: "\f00c";
|
||
}
|
||
#tab_content {
|
||
padding-top: 20px;
|
||
}
|
||
#running .panel-group .panel {
|
||
margin-top: 3px;
|
||
margin-bottom: 1em;
|
||
}
|
||
#running .panel-group .panel .panel-heading {
|
||
background-color: #EEE;
|
||
padding-top: 4px;
|
||
padding-bottom: 4px;
|
||
padding-left: 7px;
|
||
padding-right: 7px;
|
||
line-height: 22px;
|
||
}
|
||
#running .panel-group .panel .panel-heading a:focus,
|
||
#running .panel-group .panel .panel-heading a:hover {
|
||
text-decoration: none;
|
||
}
|
||
#running .panel-group .panel .panel-body {
|
||
padding: 0px;
|
||
}
|
||
#running .panel-group .panel .panel-body .list_container {
|
||
margin-top: 0px;
|
||
margin-bottom: 0px;
|
||
border: 0px;
|
||
border-radius: 0px;
|
||
}
|
||
#running .panel-group .panel .panel-body .list_container .list_item {
|
||
border-bottom: 1px solid #ddd;
|
||
}
|
||
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
|
||
border-bottom: 0px;
|
||
}
|
||
.delete-button {
|
||
display: none;
|
||
}
|
||
.duplicate-button {
|
||
display: none;
|
||
}
|
||
.rename-button {
|
||
display: none;
|
||
}
|
||
.move-button {
|
||
display: none;
|
||
}
|
||
.download-button {
|
||
display: none;
|
||
}
|
||
.shutdown-button {
|
||
display: none;
|
||
}
|
||
.dynamic-instructions {
|
||
display: inline-block;
|
||
padding-top: 4px;
|
||
}
|
||
/*!
|
||
*
|
||
* IPython text editor webapp
|
||
*
|
||
*/
|
||
.selected-keymap i.fa {
|
||
padding: 0px 5px;
|
||
}
|
||
.selected-keymap i.fa:before {
|
||
content: "\f00c";
|
||
}
|
||
#mode-menu {
|
||
overflow: auto;
|
||
max-height: 20em;
|
||
}
|
||
.edit_app #header {
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
}
|
||
.edit_app #menubar .navbar {
|
||
/* Use a negative 1 bottom margin, so the border overlaps the border of the
|
||
header */
|
||
margin-bottom: -1px;
|
||
}
|
||
.dirty-indicator {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
width: 20px;
|
||
}
|
||
.dirty-indicator.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-dirty {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
width: 20px;
|
||
}
|
||
.dirty-indicator-dirty.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-dirty.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-dirty.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-dirty.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-clean {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
width: 20px;
|
||
}
|
||
.dirty-indicator-clean.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-clean.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-clean.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-clean.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-clean:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f00c";
|
||
}
|
||
.dirty-indicator-clean:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-clean:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dirty-indicator-clean:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dirty-indicator-clean:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
#filename {
|
||
font-size: 16pt;
|
||
display: table;
|
||
padding: 0px 5px;
|
||
}
|
||
#current-mode {
|
||
padding-left: 5px;
|
||
padding-right: 5px;
|
||
}
|
||
#texteditor-backdrop {
|
||
padding-top: 20px;
|
||
padding-bottom: 20px;
|
||
}
|
||
@media not print {
|
||
#texteditor-backdrop {
|
||
background-color: #EEE;
|
||
}
|
||
}
|
||
@media print {
|
||
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
|
||
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
|
||
background-color: #fff;
|
||
}
|
||
}
|
||
@media not print {
|
||
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
|
||
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
|
||
background-color: #fff;
|
||
}
|
||
}
|
||
@media not print {
|
||
#texteditor-backdrop #texteditor-container {
|
||
padding: 0px;
|
||
background-color: #fff;
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
}
|
||
}
|
||
.CodeMirror-dialog {
|
||
background-color: #fff;
|
||
}
|
||
/*!
|
||
*
|
||
* IPython notebook
|
||
*
|
||
*/
|
||
/* CSS font colors for translated ANSI escape sequences */
|
||
/* The color values are a mix of
|
||
http://www.xcolors.net/dl/baskerville-ivorylight and
|
||
http://www.xcolors.net/dl/euphrasia */
|
||
.ansi-black-fg {
|
||
color: #3E424D;
|
||
}
|
||
.ansi-black-bg {
|
||
background-color: #3E424D;
|
||
}
|
||
.ansi-black-intense-fg {
|
||
color: #282C36;
|
||
}
|
||
.ansi-black-intense-bg {
|
||
background-color: #282C36;
|
||
}
|
||
.ansi-red-fg {
|
||
color: #E75C58;
|
||
}
|
||
.ansi-red-bg {
|
||
background-color: #E75C58;
|
||
}
|
||
.ansi-red-intense-fg {
|
||
color: #B22B31;
|
||
}
|
||
.ansi-red-intense-bg {
|
||
background-color: #B22B31;
|
||
}
|
||
.ansi-green-fg {
|
||
color: #00A250;
|
||
}
|
||
.ansi-green-bg {
|
||
background-color: #00A250;
|
||
}
|
||
.ansi-green-intense-fg {
|
||
color: #007427;
|
||
}
|
||
.ansi-green-intense-bg {
|
||
background-color: #007427;
|
||
}
|
||
.ansi-yellow-fg {
|
||
color: #DDB62B;
|
||
}
|
||
.ansi-yellow-bg {
|
||
background-color: #DDB62B;
|
||
}
|
||
.ansi-yellow-intense-fg {
|
||
color: #B27D12;
|
||
}
|
||
.ansi-yellow-intense-bg {
|
||
background-color: #B27D12;
|
||
}
|
||
.ansi-blue-fg {
|
||
color: #208FFB;
|
||
}
|
||
.ansi-blue-bg {
|
||
background-color: #208FFB;
|
||
}
|
||
.ansi-blue-intense-fg {
|
||
color: #0065CA;
|
||
}
|
||
.ansi-blue-intense-bg {
|
||
background-color: #0065CA;
|
||
}
|
||
.ansi-magenta-fg {
|
||
color: #D160C4;
|
||
}
|
||
.ansi-magenta-bg {
|
||
background-color: #D160C4;
|
||
}
|
||
.ansi-magenta-intense-fg {
|
||
color: #A03196;
|
||
}
|
||
.ansi-magenta-intense-bg {
|
||
background-color: #A03196;
|
||
}
|
||
.ansi-cyan-fg {
|
||
color: #60C6C8;
|
||
}
|
||
.ansi-cyan-bg {
|
||
background-color: #60C6C8;
|
||
}
|
||
.ansi-cyan-intense-fg {
|
||
color: #258F8F;
|
||
}
|
||
.ansi-cyan-intense-bg {
|
||
background-color: #258F8F;
|
||
}
|
||
.ansi-white-fg {
|
||
color: #C5C1B4;
|
||
}
|
||
.ansi-white-bg {
|
||
background-color: #C5C1B4;
|
||
}
|
||
.ansi-white-intense-fg {
|
||
color: #A1A6B2;
|
||
}
|
||
.ansi-white-intense-bg {
|
||
background-color: #A1A6B2;
|
||
}
|
||
.ansi-default-inverse-fg {
|
||
color: #FFFFFF;
|
||
}
|
||
.ansi-default-inverse-bg {
|
||
background-color: #000000;
|
||
}
|
||
.ansi-bold {
|
||
font-weight: bold;
|
||
}
|
||
.ansi-underline {
|
||
text-decoration: underline;
|
||
}
|
||
/* The following styles are deprecated an will be removed in a future version */
|
||
.ansibold {
|
||
font-weight: bold;
|
||
}
|
||
.ansi-inverse {
|
||
outline: 0.5px dotted;
|
||
}
|
||
/* use dark versions for foreground, to improve visibility */
|
||
.ansiblack {
|
||
color: black;
|
||
}
|
||
.ansired {
|
||
color: darkred;
|
||
}
|
||
.ansigreen {
|
||
color: darkgreen;
|
||
}
|
||
.ansiyellow {
|
||
color: #c4a000;
|
||
}
|
||
.ansiblue {
|
||
color: darkblue;
|
||
}
|
||
.ansipurple {
|
||
color: darkviolet;
|
||
}
|
||
.ansicyan {
|
||
color: steelblue;
|
||
}
|
||
.ansigray {
|
||
color: gray;
|
||
}
|
||
/* and light for background, for the same reason */
|
||
.ansibgblack {
|
||
background-color: black;
|
||
}
|
||
.ansibgred {
|
||
background-color: red;
|
||
}
|
||
.ansibggreen {
|
||
background-color: green;
|
||
}
|
||
.ansibgyellow {
|
||
background-color: yellow;
|
||
}
|
||
.ansibgblue {
|
||
background-color: blue;
|
||
}
|
||
.ansibgpurple {
|
||
background-color: magenta;
|
||
}
|
||
.ansibgcyan {
|
||
background-color: cyan;
|
||
}
|
||
.ansibggray {
|
||
background-color: gray;
|
||
}
|
||
div.cell {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
border-radius: 2px;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
border-width: 1px;
|
||
border-style: solid;
|
||
border-color: transparent;
|
||
width: 100%;
|
||
padding: 5px;
|
||
/* This acts as a spacer between cells, that is outside the border */
|
||
margin: 0px;
|
||
outline: none;
|
||
position: relative;
|
||
overflow: visible;
|
||
}
|
||
div.cell:before {
|
||
position: absolute;
|
||
display: block;
|
||
top: -1px;
|
||
left: -1px;
|
||
width: 5px;
|
||
height: calc(100% + 2px);
|
||
content: '';
|
||
background: transparent;
|
||
}
|
||
div.cell.jupyter-soft-selected {
|
||
border-left-color: #E3F2FD;
|
||
border-left-width: 1px;
|
||
padding-left: 5px;
|
||
border-right-color: #E3F2FD;
|
||
border-right-width: 1px;
|
||
background: #E3F2FD;
|
||
}
|
||
@media print {
|
||
div.cell.jupyter-soft-selected {
|
||
border-color: transparent;
|
||
}
|
||
}
|
||
div.cell.selected,
|
||
div.cell.selected.jupyter-soft-selected {
|
||
border-color: #ababab;
|
||
}
|
||
div.cell.selected:before,
|
||
div.cell.selected.jupyter-soft-selected:before {
|
||
position: absolute;
|
||
display: block;
|
||
top: -1px;
|
||
left: -1px;
|
||
width: 5px;
|
||
height: calc(100% + 2px);
|
||
content: '';
|
||
background: #42A5F5;
|
||
}
|
||
@media print {
|
||
div.cell.selected,
|
||
div.cell.selected.jupyter-soft-selected {
|
||
border-color: transparent;
|
||
}
|
||
}
|
||
.edit_mode div.cell.selected {
|
||
border-color: #66BB6A;
|
||
}
|
||
.edit_mode div.cell.selected:before {
|
||
position: absolute;
|
||
display: block;
|
||
top: -1px;
|
||
left: -1px;
|
||
width: 5px;
|
||
height: calc(100% + 2px);
|
||
content: '';
|
||
background: #66BB6A;
|
||
}
|
||
@media print {
|
||
.edit_mode div.cell.selected {
|
||
border-color: transparent;
|
||
}
|
||
}
|
||
.prompt {
|
||
/* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
|
||
min-width: 14ex;
|
||
/* This padding is tuned to match the padding on the CodeMirror editor. */
|
||
padding: 0.4em;
|
||
margin: 0px;
|
||
font-family: monospace;
|
||
text-align: right;
|
||
/* This has to match that of the the CodeMirror class line-height below */
|
||
line-height: 1.21429em;
|
||
/* Don't highlight prompt number selection */
|
||
-webkit-touch-callout: none;
|
||
-webkit-user-select: none;
|
||
-khtml-user-select: none;
|
||
-moz-user-select: none;
|
||
-ms-user-select: none;
|
||
user-select: none;
|
||
/* Use default cursor */
|
||
cursor: default;
|
||
}
|
||
@media (max-width: 540px) {
|
||
.prompt {
|
||
text-align: left;
|
||
}
|
||
}
|
||
div.inner_cell {
|
||
min-width: 0;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
/* Old browsers */
|
||
-webkit-box-flex: 1;
|
||
-moz-box-flex: 1;
|
||
box-flex: 1;
|
||
/* Modern browsers */
|
||
flex: 1;
|
||
}
|
||
/* input_area and input_prompt must match in top border and margin for alignment */
|
||
div.input_area {
|
||
border: 1px solid #cfcfcf;
|
||
border-radius: 2px;
|
||
background: #f7f7f7;
|
||
line-height: 1.21429em;
|
||
}
|
||
/* This is needed so that empty prompt areas can collapse to zero height when there
|
||
is no content in the output_subarea and the prompt. The main purpose of this is
|
||
to make sure that empty JavaScript output_subareas have no height. */
|
||
div.prompt:empty {
|
||
padding-top: 0;
|
||
padding-bottom: 0;
|
||
}
|
||
div.unrecognized_cell {
|
||
padding: 5px 5px 5px 0px;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
}
|
||
div.unrecognized_cell .inner_cell {
|
||
border-radius: 2px;
|
||
padding: 5px;
|
||
font-weight: bold;
|
||
color: red;
|
||
border: 1px solid #cfcfcf;
|
||
background: #eaeaea;
|
||
}
|
||
div.unrecognized_cell .inner_cell a {
|
||
color: inherit;
|
||
text-decoration: none;
|
||
}
|
||
div.unrecognized_cell .inner_cell a:hover {
|
||
color: inherit;
|
||
text-decoration: none;
|
||
}
|
||
@media (max-width: 540px) {
|
||
div.unrecognized_cell > div.prompt {
|
||
display: none;
|
||
}
|
||
}
|
||
div.code_cell {
|
||
/* avoid page breaking on code cells when printing */
|
||
}
|
||
@media print {
|
||
div.code_cell {
|
||
page-break-inside: avoid;
|
||
}
|
||
}
|
||
/* any special styling for code cells that are currently running goes here */
|
||
div.input {
|
||
page-break-inside: avoid;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
}
|
||
@media (max-width: 540px) {
|
||
div.input {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
}
|
||
}
|
||
/* input_area and input_prompt must match in top border and margin for alignment */
|
||
div.input_prompt {
|
||
color: #303F9F;
|
||
border-top: 1px solid transparent;
|
||
}
|
||
div.input_area > div.highlight {
|
||
margin: 0.4em;
|
||
border: none;
|
||
padding: 0px;
|
||
background-color: transparent;
|
||
}
|
||
div.input_area > div.highlight > pre {
|
||
margin: 0px;
|
||
border: none;
|
||
padding: 0px;
|
||
background-color: transparent;
|
||
}
|
||
/* The following gets added to the <head> if it is detected that the user has a
|
||
* monospace font with inconsistent normal/bold/italic height. See
|
||
* notebookmain.js. Such fonts will have keywords vertically offset with
|
||
* respect to the rest of the text. The user should select a better font.
|
||
* See: https://github.com/ipython/ipython/issues/1503
|
||
*
|
||
* .CodeMirror span {
|
||
* vertical-align: bottom;
|
||
* }
|
||
*/
|
||
.CodeMirror {
|
||
line-height: 1.21429em;
|
||
/* Changed from 1em to our global default */
|
||
font-size: 14px;
|
||
height: auto;
|
||
/* Changed to auto to autogrow */
|
||
background: none;
|
||
/* Changed from white to allow our bg to show through */
|
||
}
|
||
.CodeMirror-scroll {
|
||
/* The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
|
||
/* We have found that if it is visible, vertical scrollbars appear with font size changes.*/
|
||
overflow-y: hidden;
|
||
overflow-x: auto;
|
||
}
|
||
.CodeMirror-lines {
|
||
/* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
|
||
/* we have set a different line-height and want this to scale with that. */
|
||
/* Note that this should set vertical padding only, since CodeMirror assumes
|
||
that horizontal padding will be set on CodeMirror pre */
|
||
padding: 0.4em 0;
|
||
}
|
||
.CodeMirror-linenumber {
|
||
padding: 0 8px 0 4px;
|
||
}
|
||
.CodeMirror-gutters {
|
||
border-bottom-left-radius: 2px;
|
||
border-top-left-radius: 2px;
|
||
}
|
||
.CodeMirror pre {
|
||
/* In CM3 this went to 4px from 0 in CM2. This sets horizontal padding only,
|
||
use .CodeMirror-lines for vertical */
|
||
padding: 0 0.4em;
|
||
border: 0;
|
||
border-radius: 0;
|
||
}
|
||
.CodeMirror-cursor {
|
||
border-left: 1.4px solid black;
|
||
}
|
||
@media screen and (min-width: 2138px) and (max-width: 4319px) {
|
||
.CodeMirror-cursor {
|
||
border-left: 2px solid black;
|
||
}
|
||
}
|
||
@media screen and (min-width: 4320px) {
|
||
.CodeMirror-cursor {
|
||
border-left: 4px solid black;
|
||
}
|
||
}
|
||
/*
|
||
|
||
Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
|
||
Adapted from GitHub theme
|
||
|
||
*/
|
||
.highlight-base {
|
||
color: #000;
|
||
}
|
||
.highlight-variable {
|
||
color: #000;
|
||
}
|
||
.highlight-variable-2 {
|
||
color: #1a1a1a;
|
||
}
|
||
.highlight-variable-3 {
|
||
color: #333333;
|
||
}
|
||
.highlight-string {
|
||
color: #BA2121;
|
||
}
|
||
.highlight-comment {
|
||
color: #408080;
|
||
font-style: italic;
|
||
}
|
||
.highlight-number {
|
||
color: #080;
|
||
}
|
||
.highlight-atom {
|
||
color: #88F;
|
||
}
|
||
.highlight-keyword {
|
||
color: #008000;
|
||
font-weight: bold;
|
||
}
|
||
.highlight-builtin {
|
||
color: #008000;
|
||
}
|
||
.highlight-error {
|
||
color: #f00;
|
||
}
|
||
.highlight-operator {
|
||
color: #AA22FF;
|
||
font-weight: bold;
|
||
}
|
||
.highlight-meta {
|
||
color: #AA22FF;
|
||
}
|
||
/* previously not defined, copying from default codemirror */
|
||
.highlight-def {
|
||
color: #00f;
|
||
}
|
||
.highlight-string-2 {
|
||
color: #f50;
|
||
}
|
||
.highlight-qualifier {
|
||
color: #555;
|
||
}
|
||
.highlight-bracket {
|
||
color: #997;
|
||
}
|
||
.highlight-tag {
|
||
color: #170;
|
||
}
|
||
.highlight-attribute {
|
||
color: #00c;
|
||
}
|
||
.highlight-header {
|
||
color: blue;
|
||
}
|
||
.highlight-quote {
|
||
color: #090;
|
||
}
|
||
.highlight-link {
|
||
color: #00c;
|
||
}
|
||
/* apply the same style to codemirror */
|
||
.cm-s-ipython span.cm-keyword {
|
||
color: #008000;
|
||
font-weight: bold;
|
||
}
|
||
.cm-s-ipython span.cm-atom {
|
||
color: #88F;
|
||
}
|
||
.cm-s-ipython span.cm-number {
|
||
color: #080;
|
||
}
|
||
.cm-s-ipython span.cm-def {
|
||
color: #00f;
|
||
}
|
||
.cm-s-ipython span.cm-variable {
|
||
color: #000;
|
||
}
|
||
.cm-s-ipython span.cm-operator {
|
||
color: #AA22FF;
|
||
font-weight: bold;
|
||
}
|
||
.cm-s-ipython span.cm-variable-2 {
|
||
color: #1a1a1a;
|
||
}
|
||
.cm-s-ipython span.cm-variable-3 {
|
||
color: #333333;
|
||
}
|
||
.cm-s-ipython span.cm-comment {
|
||
color: #408080;
|
||
font-style: italic;
|
||
}
|
||
.cm-s-ipython span.cm-string {
|
||
color: #BA2121;
|
||
}
|
||
.cm-s-ipython span.cm-string-2 {
|
||
color: #f50;
|
||
}
|
||
.cm-s-ipython span.cm-meta {
|
||
color: #AA22FF;
|
||
}
|
||
.cm-s-ipython span.cm-qualifier {
|
||
color: #555;
|
||
}
|
||
.cm-s-ipython span.cm-builtin {
|
||
color: #008000;
|
||
}
|
||
.cm-s-ipython span.cm-bracket {
|
||
color: #997;
|
||
}
|
||
.cm-s-ipython span.cm-tag {
|
||
color: #170;
|
||
}
|
||
.cm-s-ipython span.cm-attribute {
|
||
color: #00c;
|
||
}
|
||
.cm-s-ipython span.cm-header {
|
||
color: blue;
|
||
}
|
||
.cm-s-ipython span.cm-quote {
|
||
color: #090;
|
||
}
|
||
.cm-s-ipython span.cm-link {
|
||
color: #00c;
|
||
}
|
||
.cm-s-ipython span.cm-error {
|
||
color: #f00;
|
||
}
|
||
.cm-s-ipython span.cm-tab {
|
||
background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
|
||
background-position: right;
|
||
background-repeat: no-repeat;
|
||
}
|
||
div.output_wrapper {
|
||
/* this position must be relative to enable descendents to be absolute within it */
|
||
position: relative;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
z-index: 1;
|
||
}
|
||
/* class for the output area when it should be height-limited */
|
||
div.output_scroll {
|
||
/* ideally, this would be max-height, but FF barfs all over that */
|
||
height: 24em;
|
||
/* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
|
||
width: 100%;
|
||
overflow: auto;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
|
||
box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
|
||
display: block;
|
||
}
|
||
/* output div while it is collapsed */
|
||
div.output_collapsed {
|
||
margin: 0px;
|
||
padding: 0px;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
}
|
||
div.out_prompt_overlay {
|
||
height: 100%;
|
||
padding: 0px 0.4em;
|
||
position: absolute;
|
||
border-radius: 2px;
|
||
}
|
||
div.out_prompt_overlay:hover {
|
||
/* use inner shadow to get border that is computed the same on WebKit/FF */
|
||
-webkit-box-shadow: inset 0 0 1px #000;
|
||
box-shadow: inset 0 0 1px #000;
|
||
background: rgba(240, 240, 240, 0.5);
|
||
}
|
||
div.output_prompt {
|
||
color: #D84315;
|
||
}
|
||
/* This class is the outer container of all output sections. */
|
||
div.output_area {
|
||
padding: 0px;
|
||
page-break-inside: avoid;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
}
|
||
div.output_area .MathJax_Display {
|
||
text-align: left !important;
|
||
}
|
||
div.output_area .rendered_html table {
|
||
margin-left: 0;
|
||
margin-right: 0;
|
||
}
|
||
div.output_area .rendered_html img {
|
||
margin-left: 0;
|
||
margin-right: 0;
|
||
}
|
||
div.output_area img,
|
||
div.output_area svg {
|
||
max-width: 100%;
|
||
height: auto;
|
||
}
|
||
div.output_area img.unconfined,
|
||
div.output_area svg.unconfined {
|
||
max-width: none;
|
||
}
|
||
div.output_area .mglyph > img {
|
||
max-width: none;
|
||
}
|
||
/* This is needed to protect the pre formating from global settings such
|
||
as that of bootstrap */
|
||
.output {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
}
|
||
@media (max-width: 540px) {
|
||
div.output_area {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: vertical;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: vertical;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: vertical;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: column;
|
||
align-items: stretch;
|
||
}
|
||
}
|
||
div.output_area pre {
|
||
margin: 0;
|
||
padding: 1px 0 1px 0;
|
||
border: 0;
|
||
vertical-align: baseline;
|
||
color: black;
|
||
background-color: transparent;
|
||
border-radius: 0;
|
||
}
|
||
/* This class is for the output subarea inside the output_area and after
|
||
the prompt div. */
|
||
div.output_subarea {
|
||
overflow-x: auto;
|
||
padding: 0.4em;
|
||
/* Old browsers */
|
||
-webkit-box-flex: 1;
|
||
-moz-box-flex: 1;
|
||
box-flex: 1;
|
||
/* Modern browsers */
|
||
flex: 1;
|
||
max-width: calc(100% - 14ex);
|
||
}
|
||
div.output_scroll div.output_subarea {
|
||
overflow-x: visible;
|
||
}
|
||
/* The rest of the output_* classes are for special styling of the different
|
||
output types */
|
||
/* all text output has this class: */
|
||
div.output_text {
|
||
text-align: left;
|
||
color: #000;
|
||
/* This has to match that of the the CodeMirror class line-height below */
|
||
line-height: 1.21429em;
|
||
}
|
||
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
|
||
div.output_stderr {
|
||
background: #fdd;
|
||
/* very light red background for stderr */
|
||
}
|
||
div.output_latex {
|
||
text-align: left;
|
||
}
|
||
/* Empty output_javascript divs should have no height */
|
||
div.output_javascript:empty {
|
||
padding: 0;
|
||
}
|
||
.js-error {
|
||
color: darkred;
|
||
}
|
||
/* raw_input styles */
|
||
div.raw_input_container {
|
||
line-height: 1.21429em;
|
||
padding-top: 5px;
|
||
}
|
||
pre.raw_input_prompt {
|
||
/* nothing needed here. */
|
||
}
|
||
input.raw_input {
|
||
font-family: monospace;
|
||
font-size: inherit;
|
||
color: inherit;
|
||
width: auto;
|
||
/* make sure input baseline aligns with prompt */
|
||
vertical-align: baseline;
|
||
/* padding + margin = 0.5em between prompt and cursor */
|
||
padding: 0em 0.25em;
|
||
margin: 0em 0.25em;
|
||
}
|
||
input.raw_input:focus {
|
||
box-shadow: none;
|
||
}
|
||
p.p-space {
|
||
margin-bottom: 10px;
|
||
}
|
||
div.output_unrecognized {
|
||
padding: 5px;
|
||
font-weight: bold;
|
||
color: red;
|
||
}
|
||
div.output_unrecognized a {
|
||
color: inherit;
|
||
text-decoration: none;
|
||
}
|
||
div.output_unrecognized a:hover {
|
||
color: inherit;
|
||
text-decoration: none;
|
||
}
|
||
.rendered_html {
|
||
color: #000;
|
||
/* any extras will just be numbers: */
|
||
}
|
||
.rendered_html em {
|
||
font-style: italic;
|
||
}
|
||
.rendered_html strong {
|
||
font-weight: bold;
|
||
}
|
||
.rendered_html u {
|
||
text-decoration: underline;
|
||
}
|
||
.rendered_html :link {
|
||
text-decoration: underline;
|
||
}
|
||
.rendered_html :visited {
|
||
text-decoration: underline;
|
||
}
|
||
.rendered_html h1 {
|
||
font-size: 185.7%;
|
||
margin: 1.08em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
}
|
||
.rendered_html h2 {
|
||
font-size: 157.1%;
|
||
margin: 1.27em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
}
|
||
.rendered_html h3 {
|
||
font-size: 128.6%;
|
||
margin: 1.55em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
}
|
||
.rendered_html h4 {
|
||
font-size: 100%;
|
||
margin: 2em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
}
|
||
.rendered_html h5 {
|
||
font-size: 100%;
|
||
margin: 2em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
font-style: italic;
|
||
}
|
||
.rendered_html h6 {
|
||
font-size: 100%;
|
||
margin: 2em 0 0 0;
|
||
font-weight: bold;
|
||
line-height: 1.0;
|
||
font-style: italic;
|
||
}
|
||
.rendered_html h1:first-child {
|
||
margin-top: 0.538em;
|
||
}
|
||
.rendered_html h2:first-child {
|
||
margin-top: 0.636em;
|
||
}
|
||
.rendered_html h3:first-child {
|
||
margin-top: 0.777em;
|
||
}
|
||
.rendered_html h4:first-child {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html h5:first-child {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html h6:first-child {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html ul:not(.list-inline),
|
||
.rendered_html ol:not(.list-inline) {
|
||
padding-left: 2em;
|
||
}
|
||
.rendered_html ul {
|
||
list-style: disc;
|
||
}
|
||
.rendered_html ul ul {
|
||
list-style: square;
|
||
margin-top: 0;
|
||
}
|
||
.rendered_html ul ul ul {
|
||
list-style: circle;
|
||
}
|
||
.rendered_html ol {
|
||
list-style: decimal;
|
||
}
|
||
.rendered_html ol ol {
|
||
list-style: upper-alpha;
|
||
margin-top: 0;
|
||
}
|
||
.rendered_html ol ol ol {
|
||
list-style: lower-alpha;
|
||
}
|
||
.rendered_html ol ol ol ol {
|
||
list-style: lower-roman;
|
||
}
|
||
.rendered_html ol ol ol ol ol {
|
||
list-style: decimal;
|
||
}
|
||
.rendered_html * + ul {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html * + ol {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html hr {
|
||
color: black;
|
||
background-color: black;
|
||
}
|
||
.rendered_html pre {
|
||
margin: 1em 2em;
|
||
padding: 0px;
|
||
background-color: #fff;
|
||
}
|
||
.rendered_html code {
|
||
background-color: #eff0f1;
|
||
}
|
||
.rendered_html p code {
|
||
padding: 1px 5px;
|
||
}
|
||
.rendered_html pre code {
|
||
background-color: #fff;
|
||
}
|
||
.rendered_html pre,
|
||
.rendered_html code {
|
||
border: 0;
|
||
color: #000;
|
||
font-size: 100%;
|
||
}
|
||
.rendered_html blockquote {
|
||
margin: 1em 2em;
|
||
}
|
||
.rendered_html table {
|
||
margin-left: auto;
|
||
margin-right: auto;
|
||
border: none;
|
||
border-collapse: collapse;
|
||
border-spacing: 0;
|
||
color: black;
|
||
font-size: 12px;
|
||
table-layout: fixed;
|
||
}
|
||
.rendered_html thead {
|
||
border-bottom: 1px solid black;
|
||
vertical-align: bottom;
|
||
}
|
||
.rendered_html tr,
|
||
.rendered_html th,
|
||
.rendered_html td {
|
||
text-align: right;
|
||
vertical-align: middle;
|
||
padding: 0.5em 0.5em;
|
||
line-height: normal;
|
||
white-space: normal;
|
||
max-width: none;
|
||
border: none;
|
||
}
|
||
.rendered_html th {
|
||
font-weight: bold;
|
||
}
|
||
.rendered_html tbody tr:nth-child(odd) {
|
||
background: #f5f5f5;
|
||
}
|
||
.rendered_html tbody tr:hover {
|
||
background: rgba(66, 165, 245, 0.2);
|
||
}
|
||
.rendered_html * + table {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html p {
|
||
text-align: left;
|
||
}
|
||
.rendered_html * + p {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html img {
|
||
display: block;
|
||
margin-left: auto;
|
||
margin-right: auto;
|
||
}
|
||
.rendered_html * + img {
|
||
margin-top: 1em;
|
||
}
|
||
.rendered_html img,
|
||
.rendered_html svg {
|
||
max-width: 100%;
|
||
height: auto;
|
||
}
|
||
.rendered_html img.unconfined,
|
||
.rendered_html svg.unconfined {
|
||
max-width: none;
|
||
}
|
||
.rendered_html .alert {
|
||
margin-bottom: initial;
|
||
}
|
||
.rendered_html * + .alert {
|
||
margin-top: 1em;
|
||
}
|
||
[dir="rtl"] .rendered_html p {
|
||
text-align: right;
|
||
}
|
||
div.text_cell {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
}
|
||
@media (max-width: 540px) {
|
||
div.text_cell > div.prompt {
|
||
display: none;
|
||
}
|
||
}
|
||
div.text_cell_render {
|
||
/*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
|
||
outline: none;
|
||
resize: none;
|
||
width: inherit;
|
||
border-style: none;
|
||
padding: 0.5em 0.5em 0.5em 0.4em;
|
||
color: #000;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
}
|
||
a.anchor-link:link {
|
||
text-decoration: none;
|
||
padding: 0px 20px;
|
||
visibility: hidden;
|
||
}
|
||
h1:hover .anchor-link,
|
||
h2:hover .anchor-link,
|
||
h3:hover .anchor-link,
|
||
h4:hover .anchor-link,
|
||
h5:hover .anchor-link,
|
||
h6:hover .anchor-link {
|
||
visibility: visible;
|
||
}
|
||
.text_cell.rendered .input_area {
|
||
display: none;
|
||
}
|
||
.text_cell.rendered .rendered_html {
|
||
overflow-x: auto;
|
||
overflow-y: hidden;
|
||
}
|
||
.text_cell.rendered .rendered_html tr,
|
||
.text_cell.rendered .rendered_html th,
|
||
.text_cell.rendered .rendered_html td {
|
||
max-width: none;
|
||
}
|
||
.text_cell.unrendered .text_cell_render {
|
||
display: none;
|
||
}
|
||
.text_cell .dropzone .input_area {
|
||
border: 2px dashed #bababa;
|
||
margin: -1px;
|
||
}
|
||
.cm-header-1,
|
||
.cm-header-2,
|
||
.cm-header-3,
|
||
.cm-header-4,
|
||
.cm-header-5,
|
||
.cm-header-6 {
|
||
font-weight: bold;
|
||
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
|
||
}
|
||
.cm-header-1 {
|
||
font-size: 185.7%;
|
||
}
|
||
.cm-header-2 {
|
||
font-size: 157.1%;
|
||
}
|
||
.cm-header-3 {
|
||
font-size: 128.6%;
|
||
}
|
||
.cm-header-4 {
|
||
font-size: 110%;
|
||
}
|
||
.cm-header-5 {
|
||
font-size: 100%;
|
||
font-style: italic;
|
||
}
|
||
.cm-header-6 {
|
||
font-size: 100%;
|
||
font-style: italic;
|
||
}
|
||
/*!
|
||
*
|
||
* IPython notebook webapp
|
||
*
|
||
*/
|
||
@media (max-width: 767px) {
|
||
.notebook_app {
|
||
padding-left: 0px;
|
||
padding-right: 0px;
|
||
}
|
||
}
|
||
#ipython-main-app {
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
height: 100%;
|
||
}
|
||
div#notebook_panel {
|
||
margin: 0px;
|
||
padding: 0px;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
height: 100%;
|
||
}
|
||
div#notebook {
|
||
font-size: 14px;
|
||
line-height: 20px;
|
||
overflow-y: hidden;
|
||
overflow-x: auto;
|
||
width: 100%;
|
||
/* This spaces the page away from the edge of the notebook area */
|
||
padding-top: 20px;
|
||
margin: 0px;
|
||
outline: none;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
min-height: 100%;
|
||
}
|
||
@media not print {
|
||
#notebook-container {
|
||
padding: 15px;
|
||
background-color: #fff;
|
||
min-height: 0;
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
}
|
||
}
|
||
@media print {
|
||
#notebook-container {
|
||
width: 100%;
|
||
}
|
||
}
|
||
div.ui-widget-content {
|
||
border: 1px solid #ababab;
|
||
outline: none;
|
||
}
|
||
pre.dialog {
|
||
background-color: #f7f7f7;
|
||
border: 1px solid #ddd;
|
||
border-radius: 2px;
|
||
padding: 0.4em;
|
||
padding-left: 2em;
|
||
}
|
||
p.dialog {
|
||
padding: 0.2em;
|
||
}
|
||
/* Word-wrap output correctly. This is the CSS3 spelling, though Firefox seems
|
||
to not honor it correctly. Webkit browsers (Chrome, rekonq, Safari) do.
|
||
*/
|
||
pre,
|
||
code,
|
||
kbd,
|
||
samp {
|
||
white-space: pre-wrap;
|
||
}
|
||
#fonttest {
|
||
font-family: monospace;
|
||
}
|
||
p {
|
||
margin-bottom: 0;
|
||
}
|
||
.end_space {
|
||
min-height: 100px;
|
||
transition: height .2s ease;
|
||
}
|
||
.notebook_app > #header {
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
}
|
||
@media not print {
|
||
.notebook_app {
|
||
background-color: #EEE;
|
||
}
|
||
}
|
||
kbd {
|
||
border-style: solid;
|
||
border-width: 1px;
|
||
box-shadow: none;
|
||
margin: 2px;
|
||
padding-left: 2px;
|
||
padding-right: 2px;
|
||
padding-top: 1px;
|
||
padding-bottom: 1px;
|
||
}
|
||
.jupyter-keybindings {
|
||
padding: 1px;
|
||
line-height: 24px;
|
||
border-bottom: 1px solid gray;
|
||
}
|
||
.jupyter-keybindings input {
|
||
margin: 0;
|
||
padding: 0;
|
||
border: none;
|
||
}
|
||
.jupyter-keybindings i {
|
||
padding: 6px;
|
||
}
|
||
.well code {
|
||
background-color: #ffffff;
|
||
border-color: #ababab;
|
||
border-width: 1px;
|
||
border-style: solid;
|
||
padding: 2px;
|
||
padding-top: 1px;
|
||
padding-bottom: 1px;
|
||
}
|
||
/* CSS for the cell toolbar */
|
||
.celltoolbar {
|
||
border: thin solid #CFCFCF;
|
||
border-bottom: none;
|
||
background: #EEE;
|
||
border-radius: 2px 2px 0px 0px;
|
||
width: 100%;
|
||
height: 29px;
|
||
padding-right: 4px;
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
/* Old browsers */
|
||
-webkit-box-pack: end;
|
||
-moz-box-pack: end;
|
||
box-pack: end;
|
||
/* Modern browsers */
|
||
justify-content: flex-end;
|
||
display: -webkit-flex;
|
||
}
|
||
@media print {
|
||
.celltoolbar {
|
||
display: none;
|
||
}
|
||
}
|
||
.ctb_hideshow {
|
||
display: none;
|
||
vertical-align: bottom;
|
||
}
|
||
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
|
||
Cell toolbars are only shown when the ctb_global_show class is also set.
|
||
*/
|
||
.ctb_global_show .ctb_show.ctb_hideshow {
|
||
display: block;
|
||
}
|
||
.ctb_global_show .ctb_show + .input_area,
|
||
.ctb_global_show .ctb_show + div.text_cell_input,
|
||
.ctb_global_show .ctb_show ~ div.text_cell_render {
|
||
border-top-right-radius: 0px;
|
||
border-top-left-radius: 0px;
|
||
}
|
||
.ctb_global_show .ctb_show ~ div.text_cell_render {
|
||
border: 1px solid #cfcfcf;
|
||
}
|
||
.celltoolbar {
|
||
font-size: 87%;
|
||
padding-top: 3px;
|
||
}
|
||
.celltoolbar select {
|
||
display: block;
|
||
width: 100%;
|
||
height: 32px;
|
||
padding: 6px 12px;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
color: #555555;
|
||
background-color: #fff;
|
||
background-image: none;
|
||
border: 1px solid #ccc;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
height: 30px;
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
width: inherit;
|
||
font-size: inherit;
|
||
height: 22px;
|
||
padding: 0px;
|
||
display: inline-block;
|
||
}
|
||
.celltoolbar select:focus {
|
||
border-color: #66afe9;
|
||
outline: 0;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
}
|
||
.celltoolbar select::-moz-placeholder {
|
||
color: #999;
|
||
opacity: 1;
|
||
}
|
||
.celltoolbar select:-ms-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.celltoolbar select::-webkit-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.celltoolbar select::-ms-expand {
|
||
border: 0;
|
||
background-color: transparent;
|
||
}
|
||
.celltoolbar select[disabled],
|
||
.celltoolbar select[readonly],
|
||
fieldset[disabled] .celltoolbar select {
|
||
background-color: #eeeeee;
|
||
opacity: 1;
|
||
}
|
||
.celltoolbar select[disabled],
|
||
fieldset[disabled] .celltoolbar select {
|
||
cursor: not-allowed;
|
||
}
|
||
textarea.celltoolbar select {
|
||
height: auto;
|
||
}
|
||
select.celltoolbar select {
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
textarea.celltoolbar select,
|
||
select[multiple].celltoolbar select {
|
||
height: auto;
|
||
}
|
||
.celltoolbar label {
|
||
margin-left: 5px;
|
||
margin-right: 5px;
|
||
}
|
||
.tags_button_container {
|
||
width: 100%;
|
||
display: flex;
|
||
}
|
||
.tag-container {
|
||
display: flex;
|
||
flex-direction: row;
|
||
flex-grow: 1;
|
||
overflow: hidden;
|
||
position: relative;
|
||
}
|
||
.tag-container > * {
|
||
margin: 0 4px;
|
||
}
|
||
.remove-tag-btn {
|
||
margin-left: 4px;
|
||
}
|
||
.tags-input {
|
||
display: flex;
|
||
}
|
||
.cell-tag:last-child:after {
|
||
content: "";
|
||
position: absolute;
|
||
right: 0;
|
||
width: 40px;
|
||
height: 100%;
|
||
/* Fade to background color of cell toolbar */
|
||
background: linear-gradient(to right, rgba(0, 0, 0, 0), #EEE);
|
||
}
|
||
.tags-input > * {
|
||
margin-left: 4px;
|
||
}
|
||
.cell-tag,
|
||
.tags-input input,
|
||
.tags-input button {
|
||
display: block;
|
||
width: 100%;
|
||
height: 32px;
|
||
padding: 6px 12px;
|
||
font-size: 13px;
|
||
line-height: 1.42857143;
|
||
color: #555555;
|
||
background-color: #fff;
|
||
background-image: none;
|
||
border: 1px solid #ccc;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
|
||
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
|
||
height: 30px;
|
||
padding: 5px 10px;
|
||
font-size: 12px;
|
||
line-height: 1.5;
|
||
border-radius: 1px;
|
||
box-shadow: none;
|
||
width: inherit;
|
||
font-size: inherit;
|
||
height: 22px;
|
||
line-height: 22px;
|
||
padding: 0px 4px;
|
||
display: inline-block;
|
||
}
|
||
.cell-tag:focus,
|
||
.tags-input input:focus,
|
||
.tags-input button:focus {
|
||
border-color: #66afe9;
|
||
outline: 0;
|
||
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
|
||
}
|
||
.cell-tag::-moz-placeholder,
|
||
.tags-input input::-moz-placeholder,
|
||
.tags-input button::-moz-placeholder {
|
||
color: #999;
|
||
opacity: 1;
|
||
}
|
||
.cell-tag:-ms-input-placeholder,
|
||
.tags-input input:-ms-input-placeholder,
|
||
.tags-input button:-ms-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.cell-tag::-webkit-input-placeholder,
|
||
.tags-input input::-webkit-input-placeholder,
|
||
.tags-input button::-webkit-input-placeholder {
|
||
color: #999;
|
||
}
|
||
.cell-tag::-ms-expand,
|
||
.tags-input input::-ms-expand,
|
||
.tags-input button::-ms-expand {
|
||
border: 0;
|
||
background-color: transparent;
|
||
}
|
||
.cell-tag[disabled],
|
||
.tags-input input[disabled],
|
||
.tags-input button[disabled],
|
||
.cell-tag[readonly],
|
||
.tags-input input[readonly],
|
||
.tags-input button[readonly],
|
||
fieldset[disabled] .cell-tag,
|
||
fieldset[disabled] .tags-input input,
|
||
fieldset[disabled] .tags-input button {
|
||
background-color: #eeeeee;
|
||
opacity: 1;
|
||
}
|
||
.cell-tag[disabled],
|
||
.tags-input input[disabled],
|
||
.tags-input button[disabled],
|
||
fieldset[disabled] .cell-tag,
|
||
fieldset[disabled] .tags-input input,
|
||
fieldset[disabled] .tags-input button {
|
||
cursor: not-allowed;
|
||
}
|
||
textarea.cell-tag,
|
||
textarea.tags-input input,
|
||
textarea.tags-input button {
|
||
height: auto;
|
||
}
|
||
select.cell-tag,
|
||
select.tags-input input,
|
||
select.tags-input button {
|
||
height: 30px;
|
||
line-height: 30px;
|
||
}
|
||
textarea.cell-tag,
|
||
textarea.tags-input input,
|
||
textarea.tags-input button,
|
||
select[multiple].cell-tag,
|
||
select[multiple].tags-input input,
|
||
select[multiple].tags-input button {
|
||
height: auto;
|
||
}
|
||
.cell-tag,
|
||
.tags-input button {
|
||
padding: 0px 4px;
|
||
}
|
||
.cell-tag {
|
||
background-color: #fff;
|
||
white-space: nowrap;
|
||
}
|
||
.tags-input input[type=text]:focus {
|
||
outline: none;
|
||
box-shadow: none;
|
||
border-color: #ccc;
|
||
}
|
||
.completions {
|
||
position: absolute;
|
||
z-index: 110;
|
||
overflow: hidden;
|
||
border: 1px solid #ababab;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
|
||
box-shadow: 0px 6px 10px -1px #adadad;
|
||
line-height: 1;
|
||
}
|
||
.completions select {
|
||
background: white;
|
||
outline: none;
|
||
border: none;
|
||
padding: 0px;
|
||
margin: 0px;
|
||
overflow: auto;
|
||
font-family: monospace;
|
||
font-size: 110%;
|
||
color: #000;
|
||
width: auto;
|
||
}
|
||
.completions select option.context {
|
||
color: #286090;
|
||
}
|
||
#kernel_logo_widget .current_kernel_logo {
|
||
display: none;
|
||
margin-top: -1px;
|
||
margin-bottom: -1px;
|
||
width: 32px;
|
||
height: 32px;
|
||
}
|
||
[dir="rtl"] #kernel_logo_widget {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.modal .modal-body .move-path {
|
||
display: flex;
|
||
flex-direction: row;
|
||
justify-content: space;
|
||
align-items: center;
|
||
}
|
||
.modal .modal-body .move-path .server-root {
|
||
padding-right: 20px;
|
||
}
|
||
.modal .modal-body .move-path .path-input {
|
||
flex: 1;
|
||
}
|
||
#menubar {
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
margin-top: 1px;
|
||
}
|
||
#menubar .navbar {
|
||
border-top: 1px;
|
||
border-radius: 0px 0px 2px 2px;
|
||
margin-bottom: 0px;
|
||
}
|
||
#menubar .navbar-toggle {
|
||
float: left;
|
||
padding-top: 7px;
|
||
padding-bottom: 7px;
|
||
border: none;
|
||
}
|
||
#menubar .navbar-collapse {
|
||
clear: left;
|
||
}
|
||
[dir="rtl"] #menubar .navbar-toggle {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] #menubar .navbar-collapse {
|
||
clear: right;
|
||
}
|
||
[dir="rtl"] #menubar .navbar-nav {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] #menubar .nav {
|
||
padding-right: 0px;
|
||
}
|
||
[dir="rtl"] #menubar .navbar-nav > li {
|
||
float: right;
|
||
}
|
||
[dir="rtl"] #menubar .navbar-right {
|
||
float: left !important;
|
||
}
|
||
[dir="rtl"] ul.dropdown-menu {
|
||
text-align: right;
|
||
left: auto;
|
||
}
|
||
[dir="rtl"] ul#new-menu.dropdown-menu {
|
||
right: auto;
|
||
left: 0;
|
||
}
|
||
.nav-wrapper {
|
||
border-bottom: 1px solid #e7e7e7;
|
||
}
|
||
i.menu-icon {
|
||
padding-top: 4px;
|
||
}
|
||
[dir="rtl"] i.menu-icon.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
ul#help_menu li a {
|
||
overflow: hidden;
|
||
padding-right: 2.2em;
|
||
}
|
||
ul#help_menu li a i {
|
||
margin-right: -1.2em;
|
||
}
|
||
[dir="rtl"] ul#help_menu li a {
|
||
padding-left: 2.2em;
|
||
}
|
||
[dir="rtl"] ul#help_menu li a i {
|
||
margin-right: 0;
|
||
margin-left: -1.2em;
|
||
}
|
||
[dir="rtl"] ul#help_menu li a i.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.dropdown-submenu {
|
||
position: relative;
|
||
}
|
||
.dropdown-submenu > .dropdown-menu {
|
||
top: 0;
|
||
left: 100%;
|
||
margin-top: -6px;
|
||
margin-left: -1px;
|
||
}
|
||
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
|
||
right: 100%;
|
||
margin-right: -1px;
|
||
}
|
||
.dropdown-submenu:hover > .dropdown-menu {
|
||
display: block;
|
||
}
|
||
.dropdown-submenu > a:after {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
display: block;
|
||
content: "\f0da";
|
||
float: right;
|
||
color: #333333;
|
||
margin-top: 2px;
|
||
margin-right: -10px;
|
||
}
|
||
.dropdown-submenu > a:after.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dropdown-submenu > a:after.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.dropdown-submenu > a:after.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.dropdown-submenu > a:after.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
[dir="rtl"] .dropdown-submenu > a:after {
|
||
float: left;
|
||
content: "\f0d9";
|
||
margin-right: 0;
|
||
margin-left: -10px;
|
||
}
|
||
.dropdown-submenu:hover > a:after {
|
||
color: #262626;
|
||
}
|
||
.dropdown-submenu.pull-left {
|
||
float: none;
|
||
}
|
||
.dropdown-submenu.pull-left > .dropdown-menu {
|
||
left: -100%;
|
||
margin-left: 10px;
|
||
}
|
||
#notification_area {
|
||
float: right !important;
|
||
float: right;
|
||
z-index: 10;
|
||
}
|
||
[dir="rtl"] #notification_area {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.indicator_area {
|
||
float: right !important;
|
||
float: right;
|
||
color: #777;
|
||
margin-left: 5px;
|
||
margin-right: 5px;
|
||
width: 11px;
|
||
z-index: 10;
|
||
text-align: center;
|
||
width: auto;
|
||
}
|
||
[dir="rtl"] .indicator_area {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
#kernel_indicator {
|
||
float: right !important;
|
||
float: right;
|
||
color: #777;
|
||
margin-left: 5px;
|
||
margin-right: 5px;
|
||
width: 11px;
|
||
z-index: 10;
|
||
text-align: center;
|
||
width: auto;
|
||
border-left: 1px solid;
|
||
}
|
||
#kernel_indicator .kernel_indicator_name {
|
||
padding-left: 5px;
|
||
padding-right: 5px;
|
||
}
|
||
[dir="rtl"] #kernel_indicator {
|
||
float: left !important;
|
||
float: left;
|
||
border-left: 0;
|
||
border-right: 1px solid;
|
||
}
|
||
#modal_indicator {
|
||
float: right !important;
|
||
float: right;
|
||
color: #777;
|
||
margin-left: 5px;
|
||
margin-right: 5px;
|
||
width: 11px;
|
||
z-index: 10;
|
||
text-align: center;
|
||
width: auto;
|
||
}
|
||
[dir="rtl"] #modal_indicator {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
#readonly-indicator {
|
||
float: right !important;
|
||
float: right;
|
||
color: #777;
|
||
margin-left: 5px;
|
||
margin-right: 5px;
|
||
width: 11px;
|
||
z-index: 10;
|
||
text-align: center;
|
||
width: auto;
|
||
margin-top: 2px;
|
||
margin-bottom: 0px;
|
||
margin-left: 0px;
|
||
margin-right: 0px;
|
||
display: none;
|
||
}
|
||
.modal_indicator:before {
|
||
width: 1.28571429em;
|
||
text-align: center;
|
||
}
|
||
.edit_mode .modal_indicator:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f040";
|
||
}
|
||
.edit_mode .modal_indicator:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.edit_mode .modal_indicator:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.edit_mode .modal_indicator:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.edit_mode .modal_indicator:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.command_mode .modal_indicator:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: ' ';
|
||
}
|
||
.command_mode .modal_indicator:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.command_mode .modal_indicator:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.command_mode .modal_indicator:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.command_mode .modal_indicator:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_idle_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f10c";
|
||
}
|
||
.kernel_idle_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_idle_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_idle_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_idle_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_busy_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f111";
|
||
}
|
||
.kernel_busy_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_busy_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_busy_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_busy_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_dead_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f1e2";
|
||
}
|
||
.kernel_dead_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_dead_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_dead_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_dead_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_disconnected_icon:before {
|
||
display: inline-block;
|
||
font: normal normal normal 14px/1 FontAwesome;
|
||
font-size: inherit;
|
||
text-rendering: auto;
|
||
-webkit-font-smoothing: antialiased;
|
||
-moz-osx-font-smoothing: grayscale;
|
||
content: "\f127";
|
||
}
|
||
.kernel_disconnected_icon:before.fa-pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_disconnected_icon:before.fa-pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.kernel_disconnected_icon:before.pull-left {
|
||
margin-right: .3em;
|
||
}
|
||
.kernel_disconnected_icon:before.pull-right {
|
||
margin-left: .3em;
|
||
}
|
||
.notification_widget {
|
||
color: #777;
|
||
z-index: 10;
|
||
background: rgba(240, 240, 240, 0.5);
|
||
margin-right: 4px;
|
||
color: #333;
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
.notification_widget:focus,
|
||
.notification_widget.focus {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #8c8c8c;
|
||
}
|
||
.notification_widget:hover {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
.notification_widget:active,
|
||
.notification_widget.active,
|
||
.open > .dropdown-toggle.notification_widget {
|
||
color: #333;
|
||
background-color: #e6e6e6;
|
||
border-color: #adadad;
|
||
}
|
||
.notification_widget:active:hover,
|
||
.notification_widget.active:hover,
|
||
.open > .dropdown-toggle.notification_widget:hover,
|
||
.notification_widget:active:focus,
|
||
.notification_widget.active:focus,
|
||
.open > .dropdown-toggle.notification_widget:focus,
|
||
.notification_widget:active.focus,
|
||
.notification_widget.active.focus,
|
||
.open > .dropdown-toggle.notification_widget.focus {
|
||
color: #333;
|
||
background-color: #d4d4d4;
|
||
border-color: #8c8c8c;
|
||
}
|
||
.notification_widget:active,
|
||
.notification_widget.active,
|
||
.open > .dropdown-toggle.notification_widget {
|
||
background-image: none;
|
||
}
|
||
.notification_widget.disabled:hover,
|
||
.notification_widget[disabled]:hover,
|
||
fieldset[disabled] .notification_widget:hover,
|
||
.notification_widget.disabled:focus,
|
||
.notification_widget[disabled]:focus,
|
||
fieldset[disabled] .notification_widget:focus,
|
||
.notification_widget.disabled.focus,
|
||
.notification_widget[disabled].focus,
|
||
fieldset[disabled] .notification_widget.focus {
|
||
background-color: #fff;
|
||
border-color: #ccc;
|
||
}
|
||
.notification_widget .badge {
|
||
color: #fff;
|
||
background-color: #333;
|
||
}
|
||
.notification_widget.warning {
|
||
color: #fff;
|
||
background-color: #f0ad4e;
|
||
border-color: #eea236;
|
||
}
|
||
.notification_widget.warning:focus,
|
||
.notification_widget.warning.focus {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #985f0d;
|
||
}
|
||
.notification_widget.warning:hover {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #d58512;
|
||
}
|
||
.notification_widget.warning:active,
|
||
.notification_widget.warning.active,
|
||
.open > .dropdown-toggle.notification_widget.warning {
|
||
color: #fff;
|
||
background-color: #ec971f;
|
||
border-color: #d58512;
|
||
}
|
||
.notification_widget.warning:active:hover,
|
||
.notification_widget.warning.active:hover,
|
||
.open > .dropdown-toggle.notification_widget.warning:hover,
|
||
.notification_widget.warning:active:focus,
|
||
.notification_widget.warning.active:focus,
|
||
.open > .dropdown-toggle.notification_widget.warning:focus,
|
||
.notification_widget.warning:active.focus,
|
||
.notification_widget.warning.active.focus,
|
||
.open > .dropdown-toggle.notification_widget.warning.focus {
|
||
color: #fff;
|
||
background-color: #d58512;
|
||
border-color: #985f0d;
|
||
}
|
||
.notification_widget.warning:active,
|
||
.notification_widget.warning.active,
|
||
.open > .dropdown-toggle.notification_widget.warning {
|
||
background-image: none;
|
||
}
|
||
.notification_widget.warning.disabled:hover,
|
||
.notification_widget.warning[disabled]:hover,
|
||
fieldset[disabled] .notification_widget.warning:hover,
|
||
.notification_widget.warning.disabled:focus,
|
||
.notification_widget.warning[disabled]:focus,
|
||
fieldset[disabled] .notification_widget.warning:focus,
|
||
.notification_widget.warning.disabled.focus,
|
||
.notification_widget.warning[disabled].focus,
|
||
fieldset[disabled] .notification_widget.warning.focus {
|
||
background-color: #f0ad4e;
|
||
border-color: #eea236;
|
||
}
|
||
.notification_widget.warning .badge {
|
||
color: #f0ad4e;
|
||
background-color: #fff;
|
||
}
|
||
.notification_widget.success {
|
||
color: #fff;
|
||
background-color: #5cb85c;
|
||
border-color: #4cae4c;
|
||
}
|
||
.notification_widget.success:focus,
|
||
.notification_widget.success.focus {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #255625;
|
||
}
|
||
.notification_widget.success:hover {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #398439;
|
||
}
|
||
.notification_widget.success:active,
|
||
.notification_widget.success.active,
|
||
.open > .dropdown-toggle.notification_widget.success {
|
||
color: #fff;
|
||
background-color: #449d44;
|
||
border-color: #398439;
|
||
}
|
||
.notification_widget.success:active:hover,
|
||
.notification_widget.success.active:hover,
|
||
.open > .dropdown-toggle.notification_widget.success:hover,
|
||
.notification_widget.success:active:focus,
|
||
.notification_widget.success.active:focus,
|
||
.open > .dropdown-toggle.notification_widget.success:focus,
|
||
.notification_widget.success:active.focus,
|
||
.notification_widget.success.active.focus,
|
||
.open > .dropdown-toggle.notification_widget.success.focus {
|
||
color: #fff;
|
||
background-color: #398439;
|
||
border-color: #255625;
|
||
}
|
||
.notification_widget.success:active,
|
||
.notification_widget.success.active,
|
||
.open > .dropdown-toggle.notification_widget.success {
|
||
background-image: none;
|
||
}
|
||
.notification_widget.success.disabled:hover,
|
||
.notification_widget.success[disabled]:hover,
|
||
fieldset[disabled] .notification_widget.success:hover,
|
||
.notification_widget.success.disabled:focus,
|
||
.notification_widget.success[disabled]:focus,
|
||
fieldset[disabled] .notification_widget.success:focus,
|
||
.notification_widget.success.disabled.focus,
|
||
.notification_widget.success[disabled].focus,
|
||
fieldset[disabled] .notification_widget.success.focus {
|
||
background-color: #5cb85c;
|
||
border-color: #4cae4c;
|
||
}
|
||
.notification_widget.success .badge {
|
||
color: #5cb85c;
|
||
background-color: #fff;
|
||
}
|
||
.notification_widget.info {
|
||
color: #fff;
|
||
background-color: #5bc0de;
|
||
border-color: #46b8da;
|
||
}
|
||
.notification_widget.info:focus,
|
||
.notification_widget.info.focus {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #1b6d85;
|
||
}
|
||
.notification_widget.info:hover {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #269abc;
|
||
}
|
||
.notification_widget.info:active,
|
||
.notification_widget.info.active,
|
||
.open > .dropdown-toggle.notification_widget.info {
|
||
color: #fff;
|
||
background-color: #31b0d5;
|
||
border-color: #269abc;
|
||
}
|
||
.notification_widget.info:active:hover,
|
||
.notification_widget.info.active:hover,
|
||
.open > .dropdown-toggle.notification_widget.info:hover,
|
||
.notification_widget.info:active:focus,
|
||
.notification_widget.info.active:focus,
|
||
.open > .dropdown-toggle.notification_widget.info:focus,
|
||
.notification_widget.info:active.focus,
|
||
.notification_widget.info.active.focus,
|
||
.open > .dropdown-toggle.notification_widget.info.focus {
|
||
color: #fff;
|
||
background-color: #269abc;
|
||
border-color: #1b6d85;
|
||
}
|
||
.notification_widget.info:active,
|
||
.notification_widget.info.active,
|
||
.open > .dropdown-toggle.notification_widget.info {
|
||
background-image: none;
|
||
}
|
||
.notification_widget.info.disabled:hover,
|
||
.notification_widget.info[disabled]:hover,
|
||
fieldset[disabled] .notification_widget.info:hover,
|
||
.notification_widget.info.disabled:focus,
|
||
.notification_widget.info[disabled]:focus,
|
||
fieldset[disabled] .notification_widget.info:focus,
|
||
.notification_widget.info.disabled.focus,
|
||
.notification_widget.info[disabled].focus,
|
||
fieldset[disabled] .notification_widget.info.focus {
|
||
background-color: #5bc0de;
|
||
border-color: #46b8da;
|
||
}
|
||
.notification_widget.info .badge {
|
||
color: #5bc0de;
|
||
background-color: #fff;
|
||
}
|
||
.notification_widget.danger {
|
||
color: #fff;
|
||
background-color: #d9534f;
|
||
border-color: #d43f3a;
|
||
}
|
||
.notification_widget.danger:focus,
|
||
.notification_widget.danger.focus {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #761c19;
|
||
}
|
||
.notification_widget.danger:hover {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #ac2925;
|
||
}
|
||
.notification_widget.danger:active,
|
||
.notification_widget.danger.active,
|
||
.open > .dropdown-toggle.notification_widget.danger {
|
||
color: #fff;
|
||
background-color: #c9302c;
|
||
border-color: #ac2925;
|
||
}
|
||
.notification_widget.danger:active:hover,
|
||
.notification_widget.danger.active:hover,
|
||
.open > .dropdown-toggle.notification_widget.danger:hover,
|
||
.notification_widget.danger:active:focus,
|
||
.notification_widget.danger.active:focus,
|
||
.open > .dropdown-toggle.notification_widget.danger:focus,
|
||
.notification_widget.danger:active.focus,
|
||
.notification_widget.danger.active.focus,
|
||
.open > .dropdown-toggle.notification_widget.danger.focus {
|
||
color: #fff;
|
||
background-color: #ac2925;
|
||
border-color: #761c19;
|
||
}
|
||
.notification_widget.danger:active,
|
||
.notification_widget.danger.active,
|
||
.open > .dropdown-toggle.notification_widget.danger {
|
||
background-image: none;
|
||
}
|
||
.notification_widget.danger.disabled:hover,
|
||
.notification_widget.danger[disabled]:hover,
|
||
fieldset[disabled] .notification_widget.danger:hover,
|
||
.notification_widget.danger.disabled:focus,
|
||
.notification_widget.danger[disabled]:focus,
|
||
fieldset[disabled] .notification_widget.danger:focus,
|
||
.notification_widget.danger.disabled.focus,
|
||
.notification_widget.danger[disabled].focus,
|
||
fieldset[disabled] .notification_widget.danger.focus {
|
||
background-color: #d9534f;
|
||
border-color: #d43f3a;
|
||
}
|
||
.notification_widget.danger .badge {
|
||
color: #d9534f;
|
||
background-color: #fff;
|
||
}
|
||
div#pager {
|
||
background-color: #fff;
|
||
font-size: 14px;
|
||
line-height: 20px;
|
||
overflow: hidden;
|
||
display: none;
|
||
position: fixed;
|
||
bottom: 0px;
|
||
width: 100%;
|
||
max-height: 50%;
|
||
padding-top: 8px;
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
/* Display over codemirror */
|
||
z-index: 100;
|
||
/* Hack which prevents jquery ui resizable from changing top. */
|
||
top: auto !important;
|
||
}
|
||
div#pager pre {
|
||
line-height: 1.21429em;
|
||
color: #000;
|
||
background-color: #f7f7f7;
|
||
padding: 0.4em;
|
||
}
|
||
div#pager #pager-button-area {
|
||
position: absolute;
|
||
top: 8px;
|
||
right: 20px;
|
||
}
|
||
div#pager #pager-contents {
|
||
position: relative;
|
||
overflow: auto;
|
||
width: 100%;
|
||
height: 100%;
|
||
}
|
||
div#pager #pager-contents #pager-container {
|
||
position: relative;
|
||
padding: 15px 0px;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
}
|
||
div#pager .ui-resizable-handle {
|
||
top: 0px;
|
||
height: 8px;
|
||
background: #f7f7f7;
|
||
border-top: 1px solid #cfcfcf;
|
||
border-bottom: 1px solid #cfcfcf;
|
||
/* This injects handle bars (a short, wide = symbol) for
|
||
the resize handle. */
|
||
}
|
||
div#pager .ui-resizable-handle::after {
|
||
content: '';
|
||
top: 2px;
|
||
left: 50%;
|
||
height: 3px;
|
||
width: 30px;
|
||
margin-left: -15px;
|
||
position: absolute;
|
||
border-top: 1px solid #cfcfcf;
|
||
}
|
||
.quickhelp {
|
||
/* Old browsers */
|
||
display: -webkit-box;
|
||
-webkit-box-orient: horizontal;
|
||
-webkit-box-align: stretch;
|
||
display: -moz-box;
|
||
-moz-box-orient: horizontal;
|
||
-moz-box-align: stretch;
|
||
display: box;
|
||
box-orient: horizontal;
|
||
box-align: stretch;
|
||
/* Modern browsers */
|
||
display: flex;
|
||
flex-direction: row;
|
||
align-items: stretch;
|
||
line-height: 1.8em;
|
||
}
|
||
.shortcut_key {
|
||
display: inline-block;
|
||
width: 21ex;
|
||
text-align: right;
|
||
font-family: monospace;
|
||
}
|
||
.shortcut_descr {
|
||
display: inline-block;
|
||
/* Old browsers */
|
||
-webkit-box-flex: 1;
|
||
-moz-box-flex: 1;
|
||
box-flex: 1;
|
||
/* Modern browsers */
|
||
flex: 1;
|
||
}
|
||
span.save_widget {
|
||
height: 30px;
|
||
margin-top: 4px;
|
||
display: flex;
|
||
justify-content: flex-start;
|
||
align-items: baseline;
|
||
width: 50%;
|
||
flex: 1;
|
||
}
|
||
span.save_widget span.filename {
|
||
height: 100%;
|
||
line-height: 1em;
|
||
margin-left: 16px;
|
||
border: none;
|
||
font-size: 146.5%;
|
||
text-overflow: ellipsis;
|
||
overflow: hidden;
|
||
white-space: nowrap;
|
||
border-radius: 2px;
|
||
}
|
||
span.save_widget span.filename:hover {
|
||
background-color: #e6e6e6;
|
||
}
|
||
[dir="rtl"] span.save_widget.pull-left {
|
||
float: right !important;
|
||
float: right;
|
||
}
|
||
[dir="rtl"] span.save_widget span.filename {
|
||
margin-left: 0;
|
||
margin-right: 16px;
|
||
}
|
||
span.checkpoint_status,
|
||
span.autosave_status {
|
||
font-size: small;
|
||
white-space: nowrap;
|
||
padding: 0 5px;
|
||
}
|
||
@media (max-width: 767px) {
|
||
span.save_widget {
|
||
font-size: small;
|
||
padding: 0 0 0 5px;
|
||
}
|
||
span.checkpoint_status,
|
||
span.autosave_status {
|
||
display: none;
|
||
}
|
||
}
|
||
@media (min-width: 768px) and (max-width: 991px) {
|
||
span.checkpoint_status {
|
||
display: none;
|
||
}
|
||
span.autosave_status {
|
||
font-size: x-small;
|
||
}
|
||
}
|
||
.toolbar {
|
||
padding: 0px;
|
||
margin-left: -5px;
|
||
margin-top: 2px;
|
||
margin-bottom: 5px;
|
||
box-sizing: border-box;
|
||
-moz-box-sizing: border-box;
|
||
-webkit-box-sizing: border-box;
|
||
}
|
||
.toolbar select,
|
||
.toolbar label {
|
||
width: auto;
|
||
vertical-align: middle;
|
||
margin-right: 2px;
|
||
margin-bottom: 0px;
|
||
display: inline;
|
||
font-size: 92%;
|
||
margin-left: 0.3em;
|
||
margin-right: 0.3em;
|
||
padding: 0px;
|
||
padding-top: 3px;
|
||
}
|
||
.toolbar .btn {
|
||
padding: 2px 8px;
|
||
}
|
||
.toolbar .btn-group {
|
||
margin-top: 0px;
|
||
margin-left: 5px;
|
||
}
|
||
.toolbar-btn-label {
|
||
margin-left: 6px;
|
||
}
|
||
#maintoolbar {
|
||
margin-bottom: -3px;
|
||
margin-top: -8px;
|
||
border: 0px;
|
||
min-height: 27px;
|
||
margin-left: 0px;
|
||
padding-top: 11px;
|
||
padding-bottom: 3px;
|
||
}
|
||
#maintoolbar .navbar-text {
|
||
float: none;
|
||
vertical-align: middle;
|
||
text-align: right;
|
||
margin-left: 5px;
|
||
margin-right: 0px;
|
||
margin-top: 0px;
|
||
}
|
||
.select-xs {
|
||
height: 24px;
|
||
}
|
||
[dir="rtl"] .btn-group > .btn,
|
||
.btn-group-vertical > .btn {
|
||
float: right;
|
||
}
|
||
.pulse,
|
||
.dropdown-menu > li > a.pulse,
|
||
li.pulse > a.dropdown-toggle,
|
||
li.pulse.open > a.dropdown-toggle {
|
||
background-color: #F37626;
|
||
color: white;
|
||
}
|
||
/**
|
||
* Primary styles
|
||
*
|
||
* Author: Jupyter Development Team
|
||
*/
|
||
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
|
||
* of chance of beeing generated from the ../less/[samename].less file, you can
|
||
* try to get back the less file by reverting somme commit in history
|
||
**/
|
||
/*
|
||
* We'll try to get something pretty, so we
|
||
* have some strange css to have the scroll bar on
|
||
* the left with fix button on the top right of the tooltip
|
||
*/
|
||
@-moz-keyframes fadeOut {
|
||
from {
|
||
opacity: 1;
|
||
}
|
||
to {
|
||
opacity: 0;
|
||
}
|
||
}
|
||
@-webkit-keyframes fadeOut {
|
||
from {
|
||
opacity: 1;
|
||
}
|
||
to {
|
||
opacity: 0;
|
||
}
|
||
}
|
||
@-moz-keyframes fadeIn {
|
||
from {
|
||
opacity: 0;
|
||
}
|
||
to {
|
||
opacity: 1;
|
||
}
|
||
}
|
||
@-webkit-keyframes fadeIn {
|
||
from {
|
||
opacity: 0;
|
||
}
|
||
to {
|
||
opacity: 1;
|
||
}
|
||
}
|
||
/*properties of tooltip after "expand"*/
|
||
.bigtooltip {
|
||
overflow: auto;
|
||
height: 200px;
|
||
-webkit-transition-property: height;
|
||
-webkit-transition-duration: 500ms;
|
||
-moz-transition-property: height;
|
||
-moz-transition-duration: 500ms;
|
||
transition-property: height;
|
||
transition-duration: 500ms;
|
||
}
|
||
/*properties of tooltip before "expand"*/
|
||
.smalltooltip {
|
||
-webkit-transition-property: height;
|
||
-webkit-transition-duration: 500ms;
|
||
-moz-transition-property: height;
|
||
-moz-transition-duration: 500ms;
|
||
transition-property: height;
|
||
transition-duration: 500ms;
|
||
text-overflow: ellipsis;
|
||
overflow: hidden;
|
||
height: 80px;
|
||
}
|
||
.tooltipbuttons {
|
||
position: absolute;
|
||
padding-right: 15px;
|
||
top: 0px;
|
||
right: 0px;
|
||
}
|
||
.tooltiptext {
|
||
/*avoid the button to overlap on some docstring*/
|
||
padding-right: 30px;
|
||
}
|
||
.ipython_tooltip {
|
||
max-width: 700px;
|
||
/*fade-in animation when inserted*/
|
||
-webkit-animation: fadeOut 400ms;
|
||
-moz-animation: fadeOut 400ms;
|
||
animation: fadeOut 400ms;
|
||
-webkit-animation: fadeIn 400ms;
|
||
-moz-animation: fadeIn 400ms;
|
||
animation: fadeIn 400ms;
|
||
vertical-align: middle;
|
||
background-color: #f7f7f7;
|
||
overflow: visible;
|
||
border: #ababab 1px solid;
|
||
outline: none;
|
||
padding: 3px;
|
||
margin: 0px;
|
||
padding-left: 7px;
|
||
font-family: monospace;
|
||
min-height: 50px;
|
||
-moz-box-shadow: 0px 6px 10px -1px #adadad;
|
||
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
|
||
box-shadow: 0px 6px 10px -1px #adadad;
|
||
border-radius: 2px;
|
||
position: absolute;
|
||
z-index: 1000;
|
||
}
|
||
.ipython_tooltip a {
|
||
float: right;
|
||
}
|
||
.ipython_tooltip .tooltiptext pre {
|
||
border: 0;
|
||
border-radius: 0;
|
||
font-size: 100%;
|
||
background-color: #f7f7f7;
|
||
}
|
||
.pretooltiparrow {
|
||
left: 0px;
|
||
margin: 0px;
|
||
top: -16px;
|
||
width: 40px;
|
||
height: 16px;
|
||
overflow: hidden;
|
||
position: absolute;
|
||
}
|
||
.pretooltiparrow:before {
|
||
background-color: #f7f7f7;
|
||
border: 1px #ababab solid;
|
||
z-index: 11;
|
||
content: "";
|
||
position: absolute;
|
||
left: 15px;
|
||
top: 10px;
|
||
width: 25px;
|
||
height: 25px;
|
||
-webkit-transform: rotate(45deg);
|
||
-moz-transform: rotate(45deg);
|
||
-ms-transform: rotate(45deg);
|
||
-o-transform: rotate(45deg);
|
||
}
|
||
ul.typeahead-list i {
|
||
margin-left: -10px;
|
||
width: 18px;
|
||
}
|
||
[dir="rtl"] ul.typeahead-list i {
|
||
margin-left: 0;
|
||
margin-right: -10px;
|
||
}
|
||
ul.typeahead-list {
|
||
max-height: 80vh;
|
||
overflow: auto;
|
||
}
|
||
ul.typeahead-list > li > a {
|
||
/** Firefox bug **/
|
||
/* see https://github.com/jupyter/notebook/issues/559 */
|
||
white-space: normal;
|
||
}
|
||
ul.typeahead-list > li > a.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
[dir="rtl"] .typeahead-list {
|
||
text-align: right;
|
||
}
|
||
.cmd-palette .modal-body {
|
||
padding: 7px;
|
||
}
|
||
.cmd-palette form {
|
||
background: white;
|
||
}
|
||
.cmd-palette input {
|
||
outline: none;
|
||
}
|
||
.no-shortcut {
|
||
min-width: 20px;
|
||
color: transparent;
|
||
}
|
||
[dir="rtl"] .no-shortcut.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
[dir="rtl"] .command-shortcut.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
.command-shortcut:before {
|
||
content: "(command mode)";
|
||
padding-right: 3px;
|
||
color: #777777;
|
||
}
|
||
.edit-shortcut:before {
|
||
content: "(edit)";
|
||
padding-right: 3px;
|
||
color: #777777;
|
||
}
|
||
[dir="rtl"] .edit-shortcut.pull-right {
|
||
float: left !important;
|
||
float: left;
|
||
}
|
||
#find-and-replace #replace-preview .match,
|
||
#find-and-replace #replace-preview .insert {
|
||
background-color: #BBDEFB;
|
||
border-color: #90CAF9;
|
||
border-style: solid;
|
||
border-width: 1px;
|
||
border-radius: 0px;
|
||
}
|
||
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
|
||
border-left: none;
|
||
}
|
||
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
|
||
border-right: none;
|
||
}
|
||
#find-and-replace #replace-preview .replace .match {
|
||
background-color: #FFCDD2;
|
||
border-color: #EF9A9A;
|
||
border-radius: 0px;
|
||
}
|
||
#find-and-replace #replace-preview .replace .insert {
|
||
background-color: #C8E6C9;
|
||
border-color: #A5D6A7;
|
||
border-radius: 0px;
|
||
}
|
||
#find-and-replace #replace-preview {
|
||
max-height: 60vh;
|
||
overflow: auto;
|
||
}
|
||
#find-and-replace #replace-preview pre {
|
||
padding: 5px 10px;
|
||
}
|
||
.terminal-app {
|
||
background: #EEE;
|
||
}
|
||
.terminal-app #header {
|
||
background: #fff;
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
|
||
}
|
||
.terminal-app .terminal {
|
||
width: 100%;
|
||
float: left;
|
||
font-family: monospace;
|
||
color: white;
|
||
background: black;
|
||
padding: 0.4em;
|
||
border-radius: 2px;
|
||
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
|
||
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
|
||
}
|
||
.terminal-app .terminal,
|
||
.terminal-app .terminal dummy-screen {
|
||
line-height: 1em;
|
||
font-size: 14px;
|
||
}
|
||
.terminal-app .terminal .xterm-rows {
|
||
padding: 10px;
|
||
}
|
||
.terminal-app .terminal-cursor {
|
||
color: black;
|
||
background: white;
|
||
}
|
||
.terminal-app #terminado-container {
|
||
margin-top: 20px;
|
||
}
|
||
/*# sourceMappingURL=style.min.css.map */
|
||
</style>
|
||
<style type="text/css">
|
||
.highlight .hll { background-color: #ffffcc }
|
||
.highlight { background: #f8f8f8; }
|
||
.highlight .c { color: #408080; font-style: italic } /* Comment */
|
||
.highlight .err { border: 1px solid #FF0000 } /* Error */
|
||
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
|
||
.highlight .o { color: #666666 } /* Operator */
|
||
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
|
||
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
|
||
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
|
||
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
|
||
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
|
||
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
|
||
.highlight .gd { color: #A00000 } /* Generic.Deleted */
|
||
.highlight .ge { font-style: italic } /* Generic.Emph */
|
||
.highlight .gr { color: #FF0000 } /* Generic.Error */
|
||
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
|
||
.highlight .gi { color: #00A000 } /* Generic.Inserted */
|
||
.highlight .go { color: #888888 } /* Generic.Output */
|
||
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
|
||
.highlight .gs { font-weight: bold } /* Generic.Strong */
|
||
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
|
||
.highlight .gt { color: #0044DD } /* Generic.Traceback */
|
||
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
|
||
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
|
||
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
|
||
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
|
||
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
|
||
.highlight .kt { color: #B00040 } /* Keyword.Type */
|
||
.highlight .m { color: #666666 } /* Literal.Number */
|
||
.highlight .s { color: #BA2121 } /* Literal.String */
|
||
.highlight .na { color: #7D9029 } /* Name.Attribute */
|
||
.highlight .nb { color: #008000 } /* Name.Builtin */
|
||
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
|
||
.highlight .no { color: #880000 } /* Name.Constant */
|
||
.highlight .nd { color: #AA22FF } /* Name.Decorator */
|
||
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
|
||
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
|
||
.highlight .nf { color: #0000FF } /* Name.Function */
|
||
.highlight .nl { color: #A0A000 } /* Name.Label */
|
||
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
|
||
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
|
||
.highlight .nv { color: #19177C } /* Name.Variable */
|
||
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
|
||
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
|
||
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
|
||
.highlight .mf { color: #666666 } /* Literal.Number.Float */
|
||
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
|
||
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
|
||
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
|
||
.highlight .sa { color: #BA2121 } /* Literal.String.Affix */
|
||
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
|
||
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
|
||
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
|
||
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
|
||
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
|
||
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
|
||
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
|
||
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
|
||
.highlight .sx { color: #008000 } /* Literal.String.Other */
|
||
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
|
||
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
|
||
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
|
||
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
|
||
.highlight .fm { color: #0000FF } /* Name.Function.Magic */
|
||
.highlight .vc { color: #19177C } /* Name.Variable.Class */
|
||
.highlight .vg { color: #19177C } /* Name.Variable.Global */
|
||
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
|
||
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
|
||
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
|
||
</style>
|
||
<style type="text/css">
|
||
|
||
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
|
||
.ansi-black-fg { color: #3E424D; }
|
||
.ansi-black-bg { background-color: #3E424D; }
|
||
.ansi-black-intense-fg { color: #282C36; }
|
||
.ansi-black-intense-bg { background-color: #282C36; }
|
||
.ansi-red-fg { color: #E75C58; }
|
||
.ansi-red-bg { background-color: #E75C58; }
|
||
.ansi-red-intense-fg { color: #B22B31; }
|
||
.ansi-red-intense-bg { background-color: #B22B31; }
|
||
.ansi-green-fg { color: #00A250; }
|
||
.ansi-green-bg { background-color: #00A250; }
|
||
.ansi-green-intense-fg { color: #007427; }
|
||
.ansi-green-intense-bg { background-color: #007427; }
|
||
.ansi-yellow-fg { color: #DDB62B; }
|
||
.ansi-yellow-bg { background-color: #DDB62B; }
|
||
.ansi-yellow-intense-fg { color: #B27D12; }
|
||
.ansi-yellow-intense-bg { background-color: #B27D12; }
|
||
.ansi-blue-fg { color: #208FFB; }
|
||
.ansi-blue-bg { background-color: #208FFB; }
|
||
.ansi-blue-intense-fg { color: #0065CA; }
|
||
.ansi-blue-intense-bg { background-color: #0065CA; }
|
||
.ansi-magenta-fg { color: #D160C4; }
|
||
.ansi-magenta-bg { background-color: #D160C4; }
|
||
.ansi-magenta-intense-fg { color: #A03196; }
|
||
.ansi-magenta-intense-bg { background-color: #A03196; }
|
||
.ansi-cyan-fg { color: #60C6C8; }
|
||
.ansi-cyan-bg { background-color: #60C6C8; }
|
||
.ansi-cyan-intense-fg { color: #258F8F; }
|
||
.ansi-cyan-intense-bg { background-color: #258F8F; }
|
||
.ansi-white-fg { color: #C5C1B4; }
|
||
.ansi-white-bg { background-color: #C5C1B4; }
|
||
.ansi-white-intense-fg { color: #A1A6B2; }
|
||
.ansi-white-intense-bg { background-color: #A1A6B2; }
|
||
|
||
.ansi-bold { font-weight: bold; }
|
||
|
||
</style>
|
||
|
||
|
||
<style type="text/css">
|
||
/* Overrides of notebook CSS for static HTML export */
|
||
body {
|
||
overflow: visible;
|
||
padding: 8px;
|
||
}
|
||
|
||
div#notebook {
|
||
overflow: visible;
|
||
border-top: none;
|
||
}@media print {
|
||
div.cell {
|
||
display: block;
|
||
page-break-inside: avoid;
|
||
}
|
||
div.output_wrapper {
|
||
display: block;
|
||
page-break-inside: avoid;
|
||
}
|
||
div.output {
|
||
display: block;
|
||
page-break-inside: avoid;
|
||
}
|
||
}
|
||
</style>
|
||
|
||
<!-- Custom stylesheet, it must be in the same directory as the html file -->
|
||
<link rel="stylesheet" href="./examples_files/custom.css">
|
||
|
||
<!-- Loading mathjax macro -->
|
||
<!-- Load mathjax -->
|
||
<script src="./examples_files/MathJax.js"></script>
|
||
<!-- MathJax configuration -->
|
||
<script type="text/x-mathjax-config;executed=true">
|
||
MathJax.Hub.Config({
|
||
tex2jax: {
|
||
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
|
||
displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
|
||
processEscapes: true,
|
||
processEnvironments: true
|
||
},
|
||
// Center justify equations in code and markdown cells. Elsewhere
|
||
// we use CSS to left justify single line equations in code cells.
|
||
displayAlign: 'center',
|
||
"HTML-CSS": {
|
||
styles: {'.MathJax_Display': {"margin": 0}},
|
||
linebreaks: { automatic: true }
|
||
}
|
||
});
|
||
</script>
|
||
<!-- End of mathjax configuration --><style type="text/css">.MathJax_Hover_Frame {border-radius: .25em; -webkit-border-radius: .25em; -moz-border-radius: .25em; -khtml-border-radius: .25em; box-shadow: 0px 0px 15px #83A; -webkit-box-shadow: 0px 0px 15px #83A; -moz-box-shadow: 0px 0px 15px #83A; -khtml-box-shadow: 0px 0px 15px #83A; border: 1px solid #A6D ! important; display: inline-block; position: absolute}
|
||
.MathJax_Menu_Button .MathJax_Hover_Arrow {position: absolute; cursor: pointer; display: inline-block; border: 2px solid #AAA; border-radius: 4px; -webkit-border-radius: 4px; -moz-border-radius: 4px; -khtml-border-radius: 4px; font-family: 'Courier New',Courier; font-size: 9px; color: #F0F0F0}
|
||
.MathJax_Menu_Button .MathJax_Hover_Arrow span {display: block; background-color: #AAA; border: 1px solid; border-radius: 3px; line-height: 0; padding: 4px}
|
||
.MathJax_Hover_Arrow:hover {color: white!important; border: 2px solid #CCC!important}
|
||
.MathJax_Hover_Arrow:hover span {background-color: #CCC!important}
|
||
</style><style type="text/css">#MathJax_About {position: fixed; left: 50%; width: auto; text-align: center; border: 3px outset; padding: 1em 2em; background-color: #DDDDDD; color: black; cursor: default; font-family: message-box; font-size: 120%; font-style: normal; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 15px; -webkit-border-radius: 15px; -moz-border-radius: 15px; -khtml-border-radius: 15px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
|
||
#MathJax_About.MathJax_MousePost {outline: none}
|
||
.MathJax_Menu {position: absolute; background-color: white; color: black; width: auto; padding: 5px 0px; border: 1px solid #CCCCCC; margin: 0; cursor: default; font: menu; text-align: left; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 5px; -webkit-border-radius: 5px; -moz-border-radius: 5px; -khtml-border-radius: 5px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
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<p>In this notebook there are presented examples of usage of shiroin, a python library for proving inequalities of multivariate polynomials.</p>
|
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<p>At the beginning we need to load the packages.</p>
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<div class="prompt input_prompt">In [1]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">sympy</span> <span class="k">import</span> <span class="o">*</span>
|
||
<span class="kn">from</span> <span class="nn">shiroindev</span> <span class="k">import</span> <span class="o">*</span>
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<span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">Latex</span>
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<span class="n">shiro</span><span class="o">.</span><span class="n">seed</span><span class="o">=</span><span class="mi">1</span>
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<span class="n">shiro</span><span class="o">.</span><span class="n">display</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span><span class="n">display</span><span class="p">(</span><span class="n">Latex</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
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<p><code>shiro.seed=1</code> sets a seed for proving functions. If you don't write it, you can get a slightly different proof each time you run a function. This line is here only for the sake of reproducibility.</p>
|
||
<p>The next line provides a nicer display of proofs, i.e. formulas will be shown instead of LaTeX code of these formulas. Note that this works on Jupyter, but not on the git page.</p>
|
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<p>Now let's make some proofs. We will use problems from <a href="https://www.imomath.com/index.php?options=593&lmm=0">https://www.imomath.com/index.php?options=593&lmm=0</a>.</p>
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<h4 id="Problem-1">Problem 1<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem-1">¶</a></h4><p>Prove the inequality <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-1-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>&#x2265;</mo><mi>a</mi><mi>b</mi><mo>+</mo><mi>b</mi><mi>c</mi><mo>+</mo><mi>c</mi><mi>a</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1" style="width: 14.523em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.888em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1011.89em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2"><span class="msubsup" id="MathJax-Span-3"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-5" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-7" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-9" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-11" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-13" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-15" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">a</span><span class="mi" id="MathJax-Span-16" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-17" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-18" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-19" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-20" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-21" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mi" id="MathJax-Span-22" style="font-family: MathJax_Math; font-style: italic;">a</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>≥</mo><mi>a</mi><mi>b</mi><mo>+</mo><mi>b</mi><mi>c</mi><mo>+</mo><mi>c</mi><mi>a</mi></math></span></span><script type="math/tex" id="MathJax-Element-1">a^2+b^2+c^2\ge ab+bc+ca</script>, if <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-2-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23" style="width: 2.813em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1002.29em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24"><span class="mi" id="MathJax-Span-25" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-26" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-27" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-28" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-29" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-2">a,b,c</script> are real numbers.</p>
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<p>Function <code>prove</code> tries to prove that given formula is nonnegative, <strong>assuming all variables are nonnegative</strong>. In this case the nonnegativity assumption is not a problem, since all powers on the left side are even, so if <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-3-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>c</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>&#x2265;</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-30" style="width: 18.855em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.46em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.057em, 1015.4em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-31"><span class="texatom" id="MathJax-Span-32"><span class="mrow" id="MathJax-Span-33"><span class="mo" id="MathJax-Span-34" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-35" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-36"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-37"><span class="mrow" id="MathJax-Span-38"><span class="mo" id="MathJax-Span-39" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-40" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-41" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-42" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-43"><span class="mo" id="MathJax-Span-44" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-45" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-46"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-47"><span class="mrow" id="MathJax-Span-48"><span class="mo" id="MathJax-Span-49" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-50" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-51" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-52" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-53"><span class="mo" id="MathJax-Span-54" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-55" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-56"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-57"><span class="mrow" id="MathJax-Span-58"><span class="mo" id="MathJax-Span-59" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-60" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-61" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="texatom" id="MathJax-Span-62" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-63"><span class="mo" id="MathJax-Span-64" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-65" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-66" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="texatom" id="MathJax-Span-67"><span class="mrow" id="MathJax-Span-68"><span class="mo" id="MathJax-Span-69" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-70" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-71" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-72"><span class="mo" id="MathJax-Span-73" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-74" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-75" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="texatom" id="MathJax-Span-76"><span class="mrow" id="MathJax-Span-77"><span class="mo" id="MathJax-Span-78" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-79" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-80" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-81"><span class="mo" id="MathJax-Span-82" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-83" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-84" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="texatom" id="MathJax-Span-85"><span class="mrow" id="MathJax-Span-86"><span class="mo" id="MathJax-Span-87" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-88" style="font-family: MathJax_Main;">,</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.575em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>c</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>≥</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo></math></span></span><script type="math/tex" id="MathJax-Element-3">|a|^2+|b|^2+|c|^2 \ge |ab|+|ac|+|bc|,</script> then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-4-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>=</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>c</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>&#x2265;</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>&#x2265;</mo><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>b</mi><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-89" style="width: 34.663em; display: inline-block;"><span style="display: inline-block; position: relative; width: 28.399em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.057em, 1028.4em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-90"><span class="msubsup" id="MathJax-Span-91"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-92" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-93" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-94" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-95" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-96" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-97" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-98" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-99" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-100" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-101" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-102" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="texatom" id="MathJax-Span-103" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-104"><span class="mo" id="MathJax-Span-105" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-106" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-107"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-108"><span class="mrow" id="MathJax-Span-109"><span class="mo" id="MathJax-Span-110" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-111" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-112" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-113" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-114"><span class="mo" id="MathJax-Span-115" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-116" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-117"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-118"><span class="mrow" id="MathJax-Span-119"><span class="mo" id="MathJax-Span-120" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-121" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-122" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-123" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-124"><span class="mo" id="MathJax-Span-125" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-126" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-127"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.18em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="texatom" id="MathJax-Span-128"><span class="mrow" id="MathJax-Span-129"><span class="mo" id="MathJax-Span-130" style="font-family: MathJax_Main;">|</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.447em; left: 0.296em;"><span class="mn" id="MathJax-Span-131" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-132" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="texatom" id="MathJax-Span-133" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-134"><span class="mo" id="MathJax-Span-135" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-136" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-137" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="texatom" id="MathJax-Span-138"><span class="mrow" id="MathJax-Span-139"><span class="mo" id="MathJax-Span-140" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-141" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-142" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-143"><span class="mo" id="MathJax-Span-144" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-145" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-146" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="texatom" id="MathJax-Span-147"><span class="mrow" id="MathJax-Span-148"><span class="mo" id="MathJax-Span-149" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-150" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="texatom" id="MathJax-Span-151" style="padding-left: 0.237em;"><span class="mrow" id="MathJax-Span-152"><span class="mo" id="MathJax-Span-153" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-154" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-155" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="texatom" id="MathJax-Span-156"><span class="mrow" id="MathJax-Span-157"><span class="mo" id="MathJax-Span-158" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-159" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-160" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">a</span><span class="mi" id="MathJax-Span-161" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-162" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-163" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-164" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-165" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-166" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-167" style="font-family: MathJax_Math; font-style: italic;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.575em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>=</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>c</mi><msup><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mn>2</mn></msup><mo>≥</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>a</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>b</mi><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>≥</mo><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>b</mi><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-4">a^2+b^2+c^2= |a|^2+|b|^2+|c|^2 \ge |ab|+|ac|+|bc| \ge ab+ac+bc</script>.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'(a^2+b^2+c^2-a*b-a*c-b*c)'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-5-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mi>a</mi><mi>b</mi><mo>&#x2212;</mo><mi>a</mi><mi>c</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mi>b</mi><mi>c</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-168" style="width: 14.406em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.771em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1011.77em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-169"><span class="msubsup" id="MathJax-Span-170"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-171" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-172"><span class="mrow" id="MathJax-Span-173"><span class="mn" id="MathJax-Span-174" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-175" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-176" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-177" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-178" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-179" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-180" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-181" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-182" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-183" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-184"><span class="mrow" id="MathJax-Span-185"><span class="mn" id="MathJax-Span-186" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-187" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-188" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-189" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-190" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-191" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-192" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-193"><span class="mrow" id="MathJax-Span-194"><span class="mn" id="MathJax-Span-195" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>a</mi><mi>b</mi><mo>−</mo><mi>a</mi><mi>c</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>b</mi><mi>c</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-5">a^{2} - a b - a c + b^{2} - b c + c^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-6-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-196" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-197"><span class="mn" id="MathJax-Span-198" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-6">1</script>
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status: 0
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From weighted AM-GM inequality:
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Program couldn't find a solution with integer coefficients. Try to multiple the formula by some integer and run this function again.
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-7-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>b</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-199" style="width: 14.523em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.888em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.89em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-200"><span class="mi" id="MathJax-Span-201" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-202" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-203" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-204" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-205" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-206" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-207" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-208" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-209" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-210" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-211" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-212"><span class="mrow" id="MathJax-Span-213"><span class="mn" id="MathJax-Span-214" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-215" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-216" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-217" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-218"><span class="mrow" id="MathJax-Span-219"><span class="mn" id="MathJax-Span-220" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-221" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-222" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-223" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-224"><span class="mrow" id="MathJax-Span-225"><span class="mn" id="MathJax-Span-226" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>b</mi><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-7"> a b+a c+b c \le a^{2}+b^{2}+c^{2} </script>
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<pre>0</pre>
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<p>Function prove prints several things. The first two gives us a formula after expanding it. The next one is status, which is the return status of the first use of <code>scipy.optimize.linprog</code>. Possible outputs and explanations are</p>
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<li>0 - found a proof with real coefficients,</li>
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<li>1 - need more time, </li>
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<li>2 - function didn't find a proof,</li>
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<li>3,4 - loss of precision (which may happen if it has to work with big numbers).</li>
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<p>Then we've got a hint. So let's use it!</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'(a^2+b^2+c^2-a*b-a*c-b*c)*2'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-8-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>&#x2212;</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-227" style="width: 18.036em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.757em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1014.76em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-228"><span class="mn" id="MathJax-Span-229" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-230"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-231" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-232"><span class="mrow" id="MathJax-Span-233"><span class="mn" id="MathJax-Span-234" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-235" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-236" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-237" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-238" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-239" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-240" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-241" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-242" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-243" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-244" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-245"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-246" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-247"><span class="mrow" id="MathJax-Span-248"><span class="mn" id="MathJax-Span-249" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-250" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-251" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-252" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-253" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-254" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-255" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-256"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-257" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-258"><span class="mrow" id="MathJax-Span-259"><span class="mn" id="MathJax-Span-260" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>−</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-8">2 a^{2} - 2 a b - 2 a c + 2 b^{2} - 2 b c + 2 c^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-9-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-261" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-262"><span class="mn" id="MathJax-Span-263" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-9">1</script>
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status: 0
|
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From weighted AM-GM inequality:
|
||
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-10-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>b</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-264" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.92em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-265"><span class="mn" id="MathJax-Span-266" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-267" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-268" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-269" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-270" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-271" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-272"><span class="mrow" id="MathJax-Span-273"><span class="mn" id="MathJax-Span-274" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-275" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-276" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-277" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-278"><span class="mrow" id="MathJax-Span-279"><span class="mn" id="MathJax-Span-280" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>b</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-10">2 a b \le a^{2}+b^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-11-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-281" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.92em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-282"><span class="mn" id="MathJax-Span-283" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-284" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-285" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-286" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-287" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-288" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-289"><span class="mrow" id="MathJax-Span-290"><span class="mn" id="MathJax-Span-291" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-292" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-293" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-294" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-295"><span class="mrow" id="MathJax-Span-296"><span class="mn" id="MathJax-Span-297" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-11">2 a c \le a^{2}+c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-12-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-298" style="width: 7.029em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.74em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-299"><span class="mn" id="MathJax-Span-300" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-301" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-302" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-303" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-304" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-305" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-306"><span class="mrow" id="MathJax-Span-307"><span class="mn" id="MathJax-Span-308" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-309" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-310" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-311" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-312"><span class="mrow" id="MathJax-Span-313"><span class="mn" id="MathJax-Span-314" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>c</mi><mo>≤</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-12">2 b c \le b^{2}+c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-13-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-315" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-316"><span class="mn" id="MathJax-Span-317" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-318" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-319" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-13"> 0 \le 0 </script>
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The sum of all inequalities gives us a proof of the inequality.
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<pre>0</pre>
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<h4 id="Problem-2">Problem 2<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem-2">¶</a></h4><p>Find all real numbers such that <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-14-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>=</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-320" style="width: 17.157em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.054em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1013.94em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-321"><span class="msubsup" id="MathJax-Span-322"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-323" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-324" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-325" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-326" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-327" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-328" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-329" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-330" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-331" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-332" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-333" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-334" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-335" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-336" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-337" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-338" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">a</span><span class="mo" id="MathJax-Span-339" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-340" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-341" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-342" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mo" id="MathJax-Span-343" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-344" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-345" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>=</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-14">a^2+b^2+c^2+d^2=a(b+c+d)</script>.</p>
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<p>At first glance it doesn't look like an inequality problem, but actually it is one. If you try to calculate both sides for different values, you can see that the left side of the equation is never less than the right one. So let's try</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'a^2+b^2+c^2+d^2-a*(b+c+d)'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-15-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mi>a</mi><mi>b</mi><mo>&#x2212;</mo><mi>a</mi><mi>c</mi><mo>&#x2212;</mo><mi>a</mi><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-346" style="width: 17.333em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.172em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1014.17em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-347"><span class="msubsup" id="MathJax-Span-348"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-349" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-350"><span class="mrow" id="MathJax-Span-351"><span class="mn" id="MathJax-Span-352" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-353" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-354" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-355" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-356" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-357" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-358" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-359" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-360" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-361" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-362" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-363" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-364" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-365"><span class="mrow" id="MathJax-Span-366"><span class="mn" id="MathJax-Span-367" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-368" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-369" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-370" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-371"><span class="mrow" id="MathJax-Span-372"><span class="mn" id="MathJax-Span-373" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-374" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-375" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-376" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-377"><span class="mrow" id="MathJax-Span-378"><span class="mn" id="MathJax-Span-379" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>a</mi><mi>b</mi><mo>−</mo><mi>a</mi><mi>c</mi><mo>−</mo><mi>a</mi><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-15">a^{2} - a b - a c - a d + b^{2} + c^{2} + d^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-16-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-380" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-381"><span class="mn" id="MathJax-Span-382" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-16">1</script>
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status: 2
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Program couldn't find any proof.
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-17-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>a</mi><mi>d</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-383" style="width: 17.45em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.289em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1014.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-384"><span class="mi" id="MathJax-Span-385" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-386" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-387" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-388" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-389" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-390" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-391" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-392" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-393" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-394" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-395" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-396"><span class="mrow" id="MathJax-Span-397"><span class="mn" id="MathJax-Span-398" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-399" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-400" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-401" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-402"><span class="mrow" id="MathJax-Span-403"><span class="mn" id="MathJax-Span-404" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-405" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-406" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-407" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-408"><span class="mrow" id="MathJax-Span-409"><span class="mn" id="MathJax-Span-410" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-411" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-412" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-413" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-414"><span class="mrow" id="MathJax-Span-415"><span class="mn" id="MathJax-Span-416" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>a</mi><mi>b</mi><mo>+</mo><mi>a</mi><mi>c</mi><mo>+</mo><mi>a</mi><mi>d</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-17"> a b+a c+a d \le a^{2}+b^{2}+c^{2}+d^{2} </script>
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<div class="prompt output_prompt">Out[4]:</div>
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<pre>2</pre>
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<p>This time <code>prove</code> didn't found the proof. But it doesn't mean that the inequality is not true! <code>prove</code> uses a list of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-18-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-417" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.59em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-418"><span class="mi" id="MathJax-Span-419" style="font-family: MathJax_Math; font-style: italic;">n</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></span></span><script type="math/tex" id="MathJax-Element-18">n</script> positive values, where <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-19-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-420" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.59em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-421"><span class="mi" id="MathJax-Span-422" style="font-family: MathJax_Math; font-style: italic;">n</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></span></span><script type="math/tex" id="MathJax-Element-19">n</script> is a number of variables in the formula. List of values should correspond to the list of variables in alphabetical order. Here are a few tips how to choose the right values.</p>
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<ol>
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||
<li>Consider a function <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-20-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mi>o</mi><mi>s</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-423" style="width: 6.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.038em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.92em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-424"><span class="mi" id="MathJax-Span-425" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-426" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-427" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-428" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-429" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-430" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-431" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-432" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-433" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-434" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-435" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mi>o</mi><mi>s</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-20">pos(values)</script> which is the sum of the positive addends in the formula after substitution of values to variables. Analogically, let <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-21-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mi>e</mi><mi>g</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-436" style="width: 6.326em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.155em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1005.04em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-437"><span class="mi" id="MathJax-Span-438" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-439" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-440" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-441" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-442" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-443" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-444" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-445" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-446" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-447" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-448" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mi>e</mi><mi>g</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-21">neg(values)</script> be the sum of the negative addends. We should choose such values for which <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-22-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi><mo>=</mo><mi>p</mi><mi>o</mi><mi>s</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>n</mi><mi>e</mi><mi>g</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-449" style="width: 19.851em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.279em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1016.16em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-450"><span class="mi" id="MathJax-Span-451" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-452" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-453" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-454" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-455" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-456" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-457" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-458" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-459" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-460" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">p</span><span class="mi" id="MathJax-Span-461" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-462" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-463" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-464" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-465" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-466" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-467" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-468" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-469" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-470" style="font-family: MathJax_Main;">)</span><span class="texatom" id="MathJax-Span-471"><span class="mrow" id="MathJax-Span-472"><span class="mo" id="MathJax-Span-473" style="font-family: MathJax_Main;">/</span></span></span><span class="texatom" id="MathJax-Span-474"><span class="mrow" id="MathJax-Span-475"><span class="mo" id="MathJax-Span-476" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-477" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-478" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-479" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-480" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-481" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-482" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-483" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-484" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-485" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-486" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-487" style="font-family: MathJax_Main;">)</span><span class="texatom" id="MathJax-Span-488"><span class="mrow" id="MathJax-Span-489"><span class="mo" id="MathJax-Span-490" style="font-family: MathJax_Main;">|</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi><mo>=</mo><mi>p</mi><mi>o</mi><mi>s</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>n</mi><mi>e</mi><mi>g</mi><mo stretchy="false">(</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo stretchy="false">)</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow></math></span></span><script type="math/tex" id="MathJax-Element-22">quotient=pos(values)/|neg(values)|</script> is small. </li>
|
||
<li>The symmetry group of the formula splits set of variables into orbits. Using the same values for variables in one orbit is recommended. In particular, if the symmetry group of the formula is transitive (for example, when the formula is cyclic), then all values (probably) should be the same.</li>
|
||
<li>If the formula is homogeneous, then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-23-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo>=</mo><mo stretchy="false">(</mo><msub><mi>a</mi><mn>1</mn></msub><mo>,</mo><msub><mi>a</mi><mn>2</mn></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>a</mi><mi>n</mi></msub><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-491" style="width: 13.001em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.659em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1010.54em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-492"><span class="mi" id="MathJax-Span-493" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-494" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-495" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-496" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-497" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-498" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-499" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mo" id="MathJax-Span-500" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="msubsup" id="MathJax-Span-501"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-502" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-503" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-504" style="font-family: MathJax_Main;">,</span><span class="msubsup" id="MathJax-Span-505" style="padding-left: 0.179em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-506" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-507" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-508" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-509" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-510" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-511" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-512" style="font-family: MathJax_Main; padding-left: 0.179em;">,</span><span class="msubsup" id="MathJax-Span-513" style="padding-left: 0.179em;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-514" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mi" id="MathJax-Span-515" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-516" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo>=</mo><mo stretchy="false">(</mo><msub><mi>a</mi><mn>1</mn></msub><mo>,</mo><msub><mi>a</mi><mn>2</mn></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>a</mi><mi>n</mi></msub><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-23">values=(a_1,a_2,...,a_n)</script> provide a proof iff <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-24-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo>=</mo><mo stretchy="false">(</mo><mi>k</mi><msub><mi>a</mi><mn>1</mn></msub><mo>,</mo><mi>k</mi><msub><mi>a</mi><mn>2</mn></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>k</mi><msub><mi>a</mi><mi>n</mi></msub><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-517" style="width: 14.933em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.239em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1012.12em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-518"><span class="mi" id="MathJax-Span-519" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-520" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-521" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mi" id="MathJax-Span-522" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-523" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-524" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mo" id="MathJax-Span-525" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mo" id="MathJax-Span-526" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mi" id="MathJax-Span-527" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-528"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-529" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-530" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-531" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-532" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">k</span><span class="msubsup" id="MathJax-Span-533"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-534" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-535" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-536" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-537" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-538" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-539" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-540" style="font-family: MathJax_Main; padding-left: 0.179em;">,</span><span class="mi" id="MathJax-Span-541" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">k</span><span class="msubsup" id="MathJax-Span-542"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-543" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mi" id="MathJax-Span-544" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-545" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mi>s</mi><mo>=</mo><mo stretchy="false">(</mo><mi>k</mi><msub><mi>a</mi><mn>1</mn></msub><mo>,</mo><mi>k</mi><msub><mi>a</mi><mn>2</mn></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>k</mi><msub><mi>a</mi><mi>n</mi></msub><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-24">values=(ka_1,ka_2,...,ka_n)</script> provides a proof for any <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-25-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>&#x2208;</mo><msub><mi>Q</mi><mo>+</mo></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-546" style="width: 3.867em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.165em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1003.16em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-547"><span class="mi" id="MathJax-Span-548" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-549" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="msubsup" id="MathJax-Span-550" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.76em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-551" style="font-family: MathJax_Math; font-style: italic;">Q</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.823em;"><span class="mo" id="MathJax-Span-552" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>∈</mo><msub><mi>Q</mi><mo>+</mo></msub></math></span></span><script type="math/tex" id="MathJax-Element-25">k\in Q_+</script> (as long as you don't run into overflow error).</li>
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<p>In the formula above <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-26-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-553" style="width: 2.813em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1002.29em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-554"><span class="mi" id="MathJax-Span-555" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-556" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-557" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-558" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-559" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi></math></span></span><script type="math/tex" id="MathJax-Element-26">b,c,d</script> are in one orbit and the formula is homogenous, so let's try <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-27-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-560" style="width: 2.93em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.403em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.35em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-561"><span class="mi" id="MathJax-Span-562" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-563" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-564" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math></span></span><script type="math/tex" id="MathJax-Element-27">a=2</script> and <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-28-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>c</mi><mo>=</mo><mi>d</mi><mo>=</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-565" style="width: 7.321em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.975em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1005.92em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-566"><span class="mi" id="MathJax-Span-567" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-568" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-569" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-570" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-571" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-572" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-573" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>c</mi><mo>=</mo><mi>d</mi><mo>=</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-28">b=c=d=1</script>.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'a^2+b^2+c^2+d^2-a*(b+c+d)'</span><span class="p">,</span><span class="s1">'2,1,1,1'</span><span class="p">)</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-29-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>2</mn><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-574" style="width: 3.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.106em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.05em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-575"><span class="mi" id="MathJax-Span-576" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-577" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-578" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="mi" id="MathJax-Span-579" style="font-family: MathJax_Math; font-style: italic;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>2</mn><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-29">a\to 2 e</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-30-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>b</mi><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>c</mi><mi>e</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>d</mi><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-580" style="width: 19.441em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.928em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1015.93em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-581"><span class="msubsup" id="MathJax-Span-582"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-583" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-584"><span class="mrow" id="MathJax-Span-585"><span class="mn" id="MathJax-Span-586" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-587" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-588" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-589" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-590" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-591" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-592" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-593" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-594"><span class="mrow" id="MathJax-Span-595"><span class="mn" id="MathJax-Span-596" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-597" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-598" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-599" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-600" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-601" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-602" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-603" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-604"><span class="mrow" id="MathJax-Span-605"><span class="mn" id="MathJax-Span-606" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-607" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-608" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-609" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-610" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-611" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-612" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-613"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-614" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-615"><span class="mrow" id="MathJax-Span-616"><span class="mn" id="MathJax-Span-617" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>b</mi><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>c</mi><mi>e</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>d</mi><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-30">b^{2} - 2 b e + c^{2} - 2 c e + d^{2} - 2 d e + 4 e^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-31-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-618" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-619"><span class="mn" id="MathJax-Span-620" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-31">1</script>
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status: 0
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From weighted AM-GM inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-32-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>e</mi><mo>&#x2264;</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-621" style="width: 7.087em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.8em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-622"><span class="mn" id="MathJax-Span-623" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-624" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-625" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-626" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-627" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-628" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-629"><span class="mrow" id="MathJax-Span-630"><span class="mn" id="MathJax-Span-631" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-632" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-633" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-634" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-635"><span class="mrow" id="MathJax-Span-636"><span class="mn" id="MathJax-Span-637" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>e</mi><mo>≤</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-32">2 b e \le b^{2}+e^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-33-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>c</mi><mi>e</mi><mo>&#x2264;</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-638" style="width: 7.087em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.8em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-639"><span class="mn" id="MathJax-Span-640" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-641" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-642" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-643" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-644" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-645" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-646"><span class="mrow" id="MathJax-Span-647"><span class="mn" id="MathJax-Span-648" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-649" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-650" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-651" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-652"><span class="mrow" id="MathJax-Span-653"><span class="mn" id="MathJax-Span-654" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>c</mi><mi>e</mi><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-33">2 c e \le c^{2}+e^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-34-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>d</mi><mi>e</mi><mo>&#x2264;</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-655" style="width: 7.321em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.975em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.98em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-656"><span class="mn" id="MathJax-Span-657" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-658" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-659" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-660" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-661" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-662" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-663"><span class="mrow" id="MathJax-Span-664"><span class="mn" id="MathJax-Span-665" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-666" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-667" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-668" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-669"><span class="mrow" id="MathJax-Span-670"><span class="mn" id="MathJax-Span-671" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>d</mi><mi>e</mi><mo>≤</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-34">2 d e \le d^{2}+e^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-35-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-672" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1002.75em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-673"><span class="mn" id="MathJax-Span-674" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-675" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-676" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-677" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-678"><span class="mrow" id="MathJax-Span-679"><span class="mn" id="MathJax-Span-680" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-35"> 0 \le e^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[5]:</div>
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<pre>0</pre>
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<p>Function makes a substitution <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-36-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>2</mn><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-681" style="width: 3.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.106em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.05em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-682"><span class="mi" id="MathJax-Span-683" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-684" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-685" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="mi" id="MathJax-Span-686" style="font-family: MathJax_Math; font-style: italic;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>2</mn><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-36">a\to 2e</script> and try to prove new inequality. This time it succeeded. Moreover, if starting formula is equal to 0, then all these inequalities have to be equalities, so <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-37-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>e</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-687" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1002.7em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-688"><span class="msubsup" id="MathJax-Span-689"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-690" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="mn" id="MathJax-Span-691" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-692" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-693" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>e</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-37">e^2=0</script> and eventually <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-38-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-694" style="width: 2.93em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.403em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.35em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-695"><span class="mi" id="MathJax-Span-696" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-697" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-698" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-38">a=0</script>. We can also try a little bit lower value for <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-39-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-699" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.53em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-700"><span class="mi" id="MathJax-Span-701" style="font-family: MathJax_Math; font-style: italic;">a</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></span></span><script type="math/tex" id="MathJax-Element-39">a</script>.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'a^2+b^2+c^2+d^2-a*(b+c+d)'</span><span class="p">,</span><span class="s1">'7/4,1,1,1'</span><span class="p">)</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-40-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mfrac><mrow><mn>7</mn><mi>f</mi></mrow><mn>4</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-702" style="width: 3.926em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.223em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.94em, 1003.22em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-703"><span class="mi" id="MathJax-Span-704" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-705" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-706" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.282em, 1000.76em, 4.277em, -999.997em); top: -4.564em; left: 50%; margin-left: -0.348em;"><span class="mrow" id="MathJax-Span-707"><span class="mn" id="MathJax-Span-708" style="font-size: 70.7%; font-family: MathJax_Main;">7</span><span class="mi" id="MathJax-Span-709" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-710" style="font-size: 70.7%; font-family: MathJax_Main;">4</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.88em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.881em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mfrac><mrow><mn>7</mn><mi>f</mi></mrow><mn>4</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-40">a\to \frac{7 f}{4}</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-41-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>28</mn><mi>b</mi><mi>f</mi><mo>+</mo><mn>16</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>28</mn><mi>c</mi><mi>f</mi><mo>+</mo><mn>16</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>28</mn><mi>d</mi><mi>f</mi><mo>+</mo><mn>49</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-711" style="width: 26.115em; display: inline-block;"><span style="display: inline-block; position: relative; width: 21.373em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1021.37em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-712"><span class="mn" id="MathJax-Span-713" style="font-family: MathJax_Main;">16</span><span class="msubsup" id="MathJax-Span-714"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-715" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-716"><span class="mrow" id="MathJax-Span-717"><span class="mn" id="MathJax-Span-718" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-719" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-720" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="mi" id="MathJax-Span-721" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-722" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-723" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-724" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-725"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-726" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-727"><span class="mrow" id="MathJax-Span-728"><span class="mn" id="MathJax-Span-729" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-730" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-731" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="mi" id="MathJax-Span-732" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-733" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-734" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-735" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-736"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-737" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-738"><span class="mrow" id="MathJax-Span-739"><span class="mn" id="MathJax-Span-740" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-741" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-742" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="mi" id="MathJax-Span-743" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-744" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-745" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-746" style="font-family: MathJax_Main; padding-left: 0.237em;">49</span><span class="msubsup" id="MathJax-Span-747"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-748" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-749"><span class="mrow" id="MathJax-Span-750"><span class="mn" id="MathJax-Span-751" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>28</mn><mi>b</mi><mi>f</mi><mo>+</mo><mn>16</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>28</mn><mi>c</mi><mi>f</mi><mo>+</mo><mn>16</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>28</mn><mi>d</mi><mi>f</mi><mo>+</mo><mn>49</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-41">16 b^{2} - 28 b f + 16 c^{2} - 28 c f + 16 d^{2} - 28 d f + 49 f^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-42-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-752" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.94em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-753"><span class="mn" id="MathJax-Span-754" style="font-family: MathJax_Main;">16</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn></math></span></span><script type="math/tex" id="MathJax-Element-42">16</script>
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From weighted AM-GM inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-43-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>b</mi><mi>f</mi><mo>&#x2264;</mo><mn>14</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-755" style="width: 10.424em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.551em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1008.55em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-756"><span class="mn" id="MathJax-Span-757" style="font-family: MathJax_Main;">28</span><span class="mi" id="MathJax-Span-758" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-759" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-760" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-761" style="font-family: MathJax_Main; padding-left: 0.296em;">14</span><span class="msubsup" id="MathJax-Span-762"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-763" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-764"><span class="mrow" id="MathJax-Span-765"><span class="mn" id="MathJax-Span-766" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-767" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-768" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-769"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-770" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-771"><span class="mrow" id="MathJax-Span-772"><span class="mn" id="MathJax-Span-773" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>b</mi><mi>f</mi><mo>≤</mo><mn>14</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-43">28 b f \le 14 b^{2}+14 f^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-44-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>c</mi><mi>f</mi><mo>&#x2264;</mo><mn>14</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-774" style="width: 10.424em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.551em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1008.55em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-775"><span class="mn" id="MathJax-Span-776" style="font-family: MathJax_Main;">28</span><span class="mi" id="MathJax-Span-777" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-778" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-779" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-780" style="font-family: MathJax_Main; padding-left: 0.296em;">14</span><span class="msubsup" id="MathJax-Span-781"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-782" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-783"><span class="mrow" id="MathJax-Span-784"><span class="mn" id="MathJax-Span-785" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-786" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-787" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-788"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-789" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-790"><span class="mrow" id="MathJax-Span-791"><span class="mn" id="MathJax-Span-792" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>c</mi><mi>f</mi><mo>≤</mo><mn>14</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-44">28 c f \le 14 c^{2}+14 f^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-45-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>d</mi><mi>f</mi><mo>&#x2264;</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-793" style="width: 10.659em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.727em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1008.73em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-794"><span class="mn" id="MathJax-Span-795" style="font-family: MathJax_Main;">28</span><span class="mi" id="MathJax-Span-796" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-797" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-798" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-799" style="font-family: MathJax_Main; padding-left: 0.296em;">14</span><span class="msubsup" id="MathJax-Span-800"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-801" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-802"><span class="mrow" id="MathJax-Span-803"><span class="mn" id="MathJax-Span-804" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-805" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-806" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-807"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-808" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-809"><span class="mrow" id="MathJax-Span-810"><span class="mn" id="MathJax-Span-811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>28</mn><mi>d</mi><mi>f</mi><mo>≤</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-45">28 d f \le 14 d^{2}+14 f^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-46-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>7</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-812" style="width: 13.937em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.42em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.42em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-813"><span class="mn" id="MathJax-Span-814" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-815" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-816" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-817"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-818" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-819"><span class="mrow" id="MathJax-Span-820"><span class="mn" id="MathJax-Span-821" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-822" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-823" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-824"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-825" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-826"><span class="mrow" id="MathJax-Span-827"><span class="mn" id="MathJax-Span-828" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-829" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-830" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-831"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-832" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-833"><span class="mrow" id="MathJax-Span-834"><span class="mn" id="MathJax-Span-835" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-836" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-837" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-838"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-839" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-840"><span class="mrow" id="MathJax-Span-841"><span class="mn" id="MathJax-Span-842" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>7</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-46"> 0 \le 2 b^{2}+2 c^{2}+2 d^{2}+7 f^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[6]:</div>
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<pre>0</pre>
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<p>Now we can see that if <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-47-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>&#x2212;</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-843" style="width: 19.207em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.752em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1015.69em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-844"><span class="msubsup" id="MathJax-Span-845"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-846" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-847" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-848" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-849" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-850" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-851" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-852" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-853" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-854" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-855" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-856" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-857" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-858" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-859" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-860" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-861" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mo" id="MathJax-Span-862" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-863" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-864" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-865" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mo" id="MathJax-Span-866" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-867" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-868" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-869" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-870" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>−</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-47">a^2+b^2+c^2+d^2-a(b+c+d)=0</script>, then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-48-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><msup><mi>f</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-871" style="width: 13.937em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.42em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1011.36em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-872"><span class="mn" id="MathJax-Span-873" style="font-family: MathJax_Main;">7</span><span class="msubsup" id="MathJax-Span-874"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-875" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="mn" id="MathJax-Span-876" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-877" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-878" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-879"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-880" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-881" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-882" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-883" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-884"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-885" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-886" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-887" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-888" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-889"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-890" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-891" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-892" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-893" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><msup><mi>f</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-48">7f^2+2b^2+2c^2+2d^2=0</script> and eventually <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-49-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>b</mi><mo>=</mo><mi>c</mi><mo>=</mo><mi>d</mi><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-894" style="width: 9.663em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.907em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1007.85em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-895"><span class="mi" id="MathJax-Span-896" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-897" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-898" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-899" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-900" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-901" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-902" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-903" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-904" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>b</mi><mo>=</mo><mi>c</mi><mo>=</mo><mi>d</mi><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-49">a=b=c=d=0</script>. Note that inequality is proved only for positive numbers (which, by continuity, can be expanded to nonnegative numbers). But using similar argumentation to the one in previous problem, if <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-50-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-905" style="width: 11.595em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.488em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1009.37em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-906"><span class="mo" id="MathJax-Span-907" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-908" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-909" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-910" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-911" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-912" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-913" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-914" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-915" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-916" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mo" id="MathJax-Span-917" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mi" id="MathJax-Span-918" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-919" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-920" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-921" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-922" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-923" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-924" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">t</span><span class="mo" id="MathJax-Span-925" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-50">(a,b,c,d)=(x,y,z,t)</script> is the solution of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-51-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>&#x2212;</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-926" style="width: 19.207em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.752em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1015.69em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-927"><span class="msubsup" id="MathJax-Span-928"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-929" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-930" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-931" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-932" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-933" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-934" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-935" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-936" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-937" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-938" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-939" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-940" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-941" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-942" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-943" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-944" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mo" id="MathJax-Span-945" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-946" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-947" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-948" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mo" id="MathJax-Span-949" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-950" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-951" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-952" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-953" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>+</mo><msup><mi>d</mi><mn>2</mn></msup><mo>−</mo><mi>a</mi><mo stretchy="false">(</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-51">a^2+b^2+c^2+d^2-a(b+c+d)=0</script>, then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-52-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-954" style="width: 14.289em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.713em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1011.6em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-955"><span class="mo" id="MathJax-Span-956" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-957" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-958" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-959" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-960" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-961" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-962" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-963" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-964" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-965" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mo" id="MathJax-Span-966" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="texatom" id="MathJax-Span-967"><span class="mrow" id="MathJax-Span-968"><span class="mo" id="MathJax-Span-969" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-970" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="texatom" id="MathJax-Span-971"><span class="mrow" id="MathJax-Span-972"><span class="mo" id="MathJax-Span-973" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-974" style="font-family: MathJax_Main;">,</span><span class="texatom" id="MathJax-Span-975" style="padding-left: 0.179em;"><span class="mrow" id="MathJax-Span-976"><span class="mo" id="MathJax-Span-977" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-978" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="texatom" id="MathJax-Span-979"><span class="mrow" id="MathJax-Span-980"><span class="mo" id="MathJax-Span-981" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-982" style="font-family: MathJax_Main;">,</span><span class="texatom" id="MathJax-Span-983" style="padding-left: 0.179em;"><span class="mrow" id="MathJax-Span-984"><span class="mo" id="MathJax-Span-985" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-986" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="texatom" id="MathJax-Span-987"><span class="mrow" id="MathJax-Span-988"><span class="mo" id="MathJax-Span-989" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-990" style="font-family: MathJax_Main;">,</span><span class="texatom" id="MathJax-Span-991" style="padding-left: 0.179em;"><span class="mrow" id="MathJax-Span-992"><span class="mo" id="MathJax-Span-993" style="font-family: MathJax_Main;">|</span></span></span><span class="mi" id="MathJax-Span-994" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="texatom" id="MathJax-Span-995"><span class="mrow" id="MathJax-Span-996"><span class="mo" id="MathJax-Span-997" style="font-family: MathJax_Main;">|</span></span></span><span class="mo" id="MathJax-Span-998" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo>,</mo><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mo stretchy="false">|</mo></mrow><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-52">(a,b,c,d)=(|x|,|y|,|z|,|t|)</script> is a solution, too. Since the only nonnegative solution is <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-53-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-999" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.04em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1000"><span class="mo" id="MathJax-Span-1001" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-1002" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1003" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1004" style="font-family: MathJax_Main; padding-left: 0.179em;">0</span><span class="mo" id="MathJax-Span-1005" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1006" style="font-family: MathJax_Main; padding-left: 0.179em;">0</span><span class="mo" id="MathJax-Span-1007" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1008" style="font-family: MathJax_Main; padding-left: 0.179em;">0</span><span class="mo" id="MathJax-Span-1009" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-53">(0,0,0,0)</script>, it means that it is the only solution.</p>
|
||
<p>It is worth noting that this time function <code>prove</code> used <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-54-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1010" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1000.53em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1011"><span class="mi" id="MathJax-Span-1012" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-54">f</script> as a new variable instead of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-55-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1013" style="width: 0.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.471em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.41em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1014"><span class="mi" id="MathJax-Span-1015" style="font-family: MathJax_Math; font-style: italic;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-55">e</script>. If you want to start a new proof and you don't care about the collision of variables from previous proofs, you can use <code>newproof</code> function, which clears the set of used variables.</p>
|
||
<p>We can also use the <code>findvalues</code> function to find values for the proof more automatically. It looks for (local) minimum of the <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-56-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1016" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1017"><span class="mi" id="MathJax-Span-1018" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1019" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1020" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1021" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1022" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1023" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1024" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1025" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-56">quotient</script> value defined above.</p>
|
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</div>
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</div>
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</div>
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<div class="cell border-box-sizing code_cell rendered">
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<div class="input">
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||
<div class="prompt input_prompt">In [7]:</div>
|
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<div class="inner_cell">
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||
<div class="input_area">
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||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">formula</span><span class="o">=</span><span class="n">S</span><span class="p">(</span><span class="s1">'a^2+b^2+c^2+d^2-a*(b+c+d)'</span><span class="p">)</span>
|
||
<span class="n">numvalues</span><span class="o">=</span><span class="n">findvalues</span><span class="p">(</span><span class="n">formula</span><span class="p">)</span>
|
||
<span class="n">numvalues</span>
|
||
</pre></div>
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_wrapper">
|
||
<div class="output">
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||
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|
||
<div class="output_area">
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||
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||
<div class="prompt"></div>
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|
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|
||
<div class="output_subarea output_stream output_stdout output_text">
|
||
<pre>Optimization terminated successfully.
|
||
Current function value: 1.154701
|
||
Iterations: 68
|
||
Function evaluations: 127
|
||
</pre>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt output_prompt">Out[7]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>(1.4339109663193974,
|
||
0.8278441585048405,
|
||
0.8279027492686561,
|
||
0.8278930696996669)</pre>
|
||
</div>
|
||
|
||
</div>
|
||
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||
</div>
|
||
</div>
|
||
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</div>
|
||
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
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||
</div><div class="inner_cell">
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<div class="text_cell_render border-box-sizing rendered_html">
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<p>If the <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-57-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1026" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1027"><span class="mi" id="MathJax-Span-1028" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1029" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1030" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1031" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1032" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1033" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1034" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1035" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-57">quotient</script> value were less than 1, that would mean that the formula is negative for given values. If <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-58-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1036" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1037"><span class="mi" id="MathJax-Span-1038" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1039" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1040" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1041" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1042" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1043" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1044" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1045" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-58">quotient</script> were equal to 1, then we have to choose exactly these values (or other values for which the <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-59-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1046" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1047"><span class="mi" id="MathJax-Span-1048" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1049" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1050" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1051" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1052" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1053" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1054" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1055" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-59">quotient</script> is equal to 1. But here <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-60-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1056" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1057"><span class="mi" id="MathJax-Span-1058" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1059" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1060" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1061" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1062" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1063" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1064" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1065" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-60">quotient</script> is greater than 1, so we can take a point near it and (probably) still have a proof. The values given to the <code>prove</code> function must not be floating point numbers, so we can rationalize them.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">values</span><span class="o">=</span><span class="n">nsimplify</span><span class="p">(</span><span class="n">numvalues</span><span class="p">,</span><span class="n">tolerance</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span><span class="n">rational</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
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<span class="n">values</span>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-61-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="true" scriptlevel="0"><mrow><mo>(</mo><mrow><mfrac><mn>10</mn><mn>7</mn></mfrac><mo>,</mo><mtext>&#xA0;</mtext><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>,</mo><mtext>&#xA0;</mtext><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>,</mo><mtext>&#xA0;</mtext><mfrac><mn>5</mn><mn>6</mn></mfrac></mrow><mo>)</mo></mrow></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1066" style="width: 9.312em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.614em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.759em, 1007.38em, 4.511em, -999.997em); top: -3.393em; left: 0em;"><span class="mrow" id="MathJax-Span-1067"><span class="mstyle" id="MathJax-Span-1068"><span class="mrow" id="MathJax-Span-1069"><span class="mrow" id="MathJax-Span-1070"><span class="mo" id="MathJax-Span-1071" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mrow" id="MathJax-Span-1072"><span class="mfrac" id="MathJax-Span-1073"><span style="display: inline-block; position: relative; width: 1.115em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.94em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.524em;"><span class="mn" id="MathJax-Span-1074" style="font-family: MathJax_Main;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1075" style="font-family: MathJax_Main;">7</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.12em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.115em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1076" style="font-family: MathJax_Main;">,</span><span class="mtext" id="MathJax-Span-1077" style="font-family: MathJax_Main; padding-left: 0.179em;"> </span><span class="mfrac" id="MathJax-Span-1078"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1079" style="font-family: MathJax_Main;">5</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1080" style="font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1081" style="font-family: MathJax_Main;">,</span><span class="mtext" id="MathJax-Span-1082" style="font-family: MathJax_Main; padding-left: 0.179em;"> </span><span class="mfrac" id="MathJax-Span-1083"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1084" style="font-family: MathJax_Main;">5</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1085" style="font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1086" style="font-family: MathJax_Main;">,</span><span class="mtext" id="MathJax-Span-1087" style="font-family: MathJax_Main; padding-left: 0.179em;"> </span><span class="mfrac" id="MathJax-Span-1088"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1089" style="font-family: MathJax_Main;">5</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1090" style="font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span class="mo" id="MathJax-Span-1091" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">)</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.399em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.211em; border-left: 0px solid; width: 0px; height: 3.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="true" scriptlevel="0"><mrow><mo>(</mo><mrow><mfrac><mn>10</mn><mn>7</mn></mfrac><mo>,</mo><mtext> </mtext><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>,</mo><mtext> </mtext><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>,</mo><mtext> </mtext><mfrac><mn>5</mn><mn>6</mn></mfrac></mrow><mo>)</mo></mrow></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-61">\displaystyle \left( \frac{10}{7}, \ \frac{5}{6}, \ \frac{5}{6}, \ \frac{5}{6}\right)</script>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="n">values</span><span class="p">)</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-62-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mfrac><mrow><mn>10</mn><mi>e</mi></mrow><mn>7</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1092" style="width: 4.335em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.516em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1003.52em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1093"><span class="mi" id="MathJax-Span-1094" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-1095" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-1096" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1001em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.524em;"><span class="mrow" id="MathJax-Span-1097"><span class="mn" id="MathJax-Span-1098" style="font-size: 70.7%; font-family: MathJax_Main;">10</span><span class="mi" id="MathJax-Span-1099" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">e</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1100" style="font-size: 70.7%; font-family: MathJax_Main;">7</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.17em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.174em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mfrac><mrow><mn>10</mn><mi>e</mi></mrow><mn>7</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-62">a\to \frac{10 e}{7}</script>
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|
||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-63-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mfrac><mrow><mn>5</mn><mi>f</mi></mrow><mn>6</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1101" style="width: 3.867em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.165em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.94em, 1003.16em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1102"><span class="mi" id="MathJax-Span-1103" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1104" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-1105" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.282em, 1000.76em, 4.277em, -999.997em); top: -4.564em; left: 50%; margin-left: -0.348em;"><span class="mrow" id="MathJax-Span-1106"><span class="mn" id="MathJax-Span-1107" style="font-size: 70.7%; font-family: MathJax_Main;">5</span><span class="mi" id="MathJax-Span-1108" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1109" style="font-size: 70.7%; font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.88em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.881em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mfrac><mrow><mn>5</mn><mi>f</mi></mrow><mn>6</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-63">b\to \frac{5 f}{6}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-64-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo stretchy="false">&#x2192;</mo><mfrac><mrow><mn>5</mn><mi>g</mi></mrow><mn>6</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1110" style="width: 3.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.106em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.94em, 1003.11em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1111"><span class="mi" id="MathJax-Span-1112" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-1113" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-1114" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.277em, -999.997em); top: -4.564em; left: 50%; margin-left: -0.348em;"><span class="mrow" id="MathJax-Span-1115"><span class="mn" id="MathJax-Span-1116" style="font-size: 70.7%; font-family: MathJax_Main;">5</span><span class="mi" id="MathJax-Span-1117" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1118" style="font-size: 70.7%; font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.82em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.823em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo stretchy="false">→</mo><mfrac><mrow><mn>5</mn><mi>g</mi></mrow><mn>6</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-64">c\to \frac{5 g}{6}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-65-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo stretchy="false">&#x2192;</mo><mfrac><mrow><mn>5</mn><mi>h</mi></mrow><mn>6</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1119" style="width: 3.926em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.223em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.057em, 1003.22em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1120"><span class="mi" id="MathJax-Span-1121" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1122" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-1123" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.76em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.348em;"><span class="mrow" id="MathJax-Span-1124"><span class="mn" id="MathJax-Span-1125" style="font-size: 70.7%; font-family: MathJax_Main;">5</span><span class="mi" id="MathJax-Span-1126" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">h</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1127" style="font-size: 70.7%; font-family: MathJax_Main;">6</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.88em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.881em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo stretchy="false">→</mo><mfrac><mrow><mn>5</mn><mi>h</mi></mrow><mn>6</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-65">d\to \frac{5 h}{6}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-66-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3600</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2100</mn><mi>e</mi><mi>f</mi><mo>&#x2212;</mo><mn>2100</mn><mi>e</mi><mi>g</mi><mo>&#x2212;</mo><mn>2100</mn><mi>e</mi><mi>h</mi><mo>+</mo><mn>1225</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1225</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1225</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1128" style="width: 34.663em; display: inline-block;"><span style="display: inline-block; position: relative; width: 28.399em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1028.4em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1129"><span class="mn" id="MathJax-Span-1130" style="font-family: MathJax_Main;">3600</span><span class="msubsup" id="MathJax-Span-1131"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1132" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-1133"><span class="mrow" id="MathJax-Span-1134"><span class="mn" id="MathJax-Span-1135" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1136" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1137" style="font-family: MathJax_Main; padding-left: 0.237em;">2100</span><span class="mi" id="MathJax-Span-1138" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1139" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-1140" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1141" style="font-family: MathJax_Main; padding-left: 0.237em;">2100</span><span class="mi" id="MathJax-Span-1142" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1143" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1144" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1145" style="font-family: MathJax_Main; padding-left: 0.237em;">2100</span><span class="mi" id="MathJax-Span-1146" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1147" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-1148" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1149" style="font-family: MathJax_Main; padding-left: 0.237em;">1225</span><span class="msubsup" id="MathJax-Span-1150"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1151" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-1152"><span class="mrow" id="MathJax-Span-1153"><span class="mn" id="MathJax-Span-1154" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1155" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1156" style="font-family: MathJax_Main; padding-left: 0.237em;">1225</span><span class="msubsup" id="MathJax-Span-1157"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1158" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1159"><span class="mrow" id="MathJax-Span-1160"><span class="mn" id="MathJax-Span-1161" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1162" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1163" style="font-family: MathJax_Main; padding-left: 0.237em;">1225</span><span class="msubsup" id="MathJax-Span-1164"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1165" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1166"><span class="mrow" id="MathJax-Span-1167"><span class="mn" id="MathJax-Span-1168" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3600</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2100</mn><mi>e</mi><mi>f</mi><mo>−</mo><mn>2100</mn><mi>e</mi><mi>g</mi><mo>−</mo><mn>2100</mn><mi>e</mi><mi>h</mi><mo>+</mo><mn>1225</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1225</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1225</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-66">3600 e^{2} - 2100 e f - 2100 e g - 2100 e h + 1225 f^{2} + 1225 g^{2} + 1225 h^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-67-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1764</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1169" style="width: 2.462em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.994em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1001.99em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1170"><span class="mn" id="MathJax-Span-1171" style="font-family: MathJax_Main;">1764</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1764</mn></math></span></span><script type="math/tex" id="MathJax-Element-67">1764</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
status: 0
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
From weighted AM-GM inequality:
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-68-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>f</mi><mo>&#x2264;</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1172" style="width: 14.172em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.595em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.6em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1173"><span class="mn" id="MathJax-Span-1174" style="font-family: MathJax_Main;">2100</span><span class="mi" id="MathJax-Span-1175" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1176" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-1177" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1178" style="font-family: MathJax_Main; padding-left: 0.296em;">1050</span><span class="msubsup" id="MathJax-Span-1179"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1180" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-1181"><span class="mrow" id="MathJax-Span-1182"><span class="mn" id="MathJax-Span-1183" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1184" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1185" style="font-family: MathJax_Main; padding-left: 0.237em;">1050</span><span class="msubsup" id="MathJax-Span-1186"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1187" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-1188"><span class="mrow" id="MathJax-Span-1189"><span class="mn" id="MathJax-Span-1190" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>f</mi><mo>≤</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-68">2100 e f \le 1050 e^{2}+1050 f^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-69-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>g</mi><mo>&#x2264;</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1191" style="width: 13.937em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.42em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.42em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1192"><span class="mn" id="MathJax-Span-1193" style="font-family: MathJax_Main;">2100</span><span class="mi" id="MathJax-Span-1194" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1195" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1196" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1197" style="font-family: MathJax_Main; padding-left: 0.296em;">1050</span><span class="msubsup" id="MathJax-Span-1198"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1199" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-1200"><span class="mrow" id="MathJax-Span-1201"><span class="mn" id="MathJax-Span-1202" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1203" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1204" style="font-family: MathJax_Main; padding-left: 0.237em;">1050</span><span class="msubsup" id="MathJax-Span-1205"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1206" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1207"><span class="mrow" id="MathJax-Span-1208"><span class="mn" id="MathJax-Span-1209" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>g</mi><mo>≤</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-69">2100 e g \le 1050 e^{2}+1050 g^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-70-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>h</mi><mo>&#x2264;</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1210" style="width: 14.113em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.537em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.54em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1211"><span class="mn" id="MathJax-Span-1212" style="font-family: MathJax_Main;">2100</span><span class="mi" id="MathJax-Span-1213" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1214" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-1215" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1216" style="font-family: MathJax_Main; padding-left: 0.296em;">1050</span><span class="msubsup" id="MathJax-Span-1217"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1218" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-1219"><span class="mrow" id="MathJax-Span-1220"><span class="mn" id="MathJax-Span-1221" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1222" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1223" style="font-family: MathJax_Main; padding-left: 0.237em;">1050</span><span class="msubsup" id="MathJax-Span-1224"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1225" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1226"><span class="mrow" id="MathJax-Span-1227"><span class="mn" id="MathJax-Span-1228" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2100</mn><mi>e</mi><mi>h</mi><mo>≤</mo><mn>1050</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1050</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-70">2100 e h \le 1050 e^{2}+1050 h^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-71-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>450</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1229" style="width: 18.972em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.518em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1015.52em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1230"><span class="mn" id="MathJax-Span-1231" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1232" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1233" style="font-family: MathJax_Main; padding-left: 0.296em;">450</span><span class="msubsup" id="MathJax-Span-1234"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1235" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-1236"><span class="mrow" id="MathJax-Span-1237"><span class="mn" id="MathJax-Span-1238" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1239" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1240" style="font-family: MathJax_Main; padding-left: 0.237em;">175</span><span class="msubsup" id="MathJax-Span-1241"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1242" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-1243"><span class="mrow" id="MathJax-Span-1244"><span class="mn" id="MathJax-Span-1245" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1246" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1247" style="font-family: MathJax_Main; padding-left: 0.237em;">175</span><span class="msubsup" id="MathJax-Span-1248"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1249" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1250"><span class="mrow" id="MathJax-Span-1251"><span class="mn" id="MathJax-Span-1252" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1253" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1254" style="font-family: MathJax_Main; padding-left: 0.237em;">175</span><span class="msubsup" id="MathJax-Span-1255"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1256" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1257"><span class="mrow" id="MathJax-Span-1258"><span class="mn" id="MathJax-Span-1259" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>450</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>175</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-71"> 0 \le 450 e^{2}+175 f^{2}+175 g^{2}+175 h^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[9]:</div>
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<pre>0</pre>
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<p>If you set the tolerance bigger, then the values will have smaller numerators and denominators, so coefficients in the proof will be smaller, too. But if the tolerance is too big, then proof will not be found.</p>
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<p>Let's skip the problem 3 and look solve the problem 4 instead.</p>
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<h4 id="Problem-4">Problem 4<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem-4">¶</a></h4><p>If <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-72-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1260" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.53em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1261"><span class="mi" id="MathJax-Span-1262" style="font-family: MathJax_Math; font-style: italic;">x</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-72">x</script> and <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-73-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1263" style="width: 0.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.471em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.47em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1264"><span class="mi" id="MathJax-Span-1265" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></span></span><script type="math/tex" id="MathJax-Element-73">y</script> are two positive numbers less than 1, prove that
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-74-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>&#x2212;</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>&#x2212;</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></mfrac><mo>&#x2265;</mo><mfrac><mn>2</mn><mrow><mn>1</mn><mo>&#x2212;</mo><mi>x</mi><mi>y</mi></mrow></mfrac><mo>.</mo></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1266" style="width: 15.05em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.298em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.647em, 1012.24em, 3.282em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1267"><span class="mfrac" id="MathJax-Span-1268"><span style="display: inline-block; position: relative; width: 2.872em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1269" style="font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.047em, 1002.75em, 4.218em, -999.997em); top: -3.217em; left: 50%; margin-left: -1.402em;"><span class="mrow" id="MathJax-Span-1270"><span class="mn" id="MathJax-Span-1271" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1272" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1273" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1274" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.271em; left: 0.588em;"><span class="mn" id="MathJax-Span-1275" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.87em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.872em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1276" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-1277" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.872em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1278" style="font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.047em, 1002.75em, 4.394em, -999.997em); top: -3.217em; left: 50%; margin-left: -1.344em;"><span class="mrow" id="MathJax-Span-1279"><span class="mn" id="MathJax-Span-1280" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1281" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1282" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1283" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.271em; left: 0.53em;"><span class="mn" id="MathJax-Span-1284" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.87em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.872em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1285" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mfrac" id="MathJax-Span-1286" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 2.93em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-1287" style="font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1002.81em, 4.394em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.402em;"><span class="mrow" id="MathJax-Span-1288"><span class="mn" id="MathJax-Span-1289" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1290" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1291" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="mi" id="MathJax-Span-1292" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.93em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.93em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1293" style="font-family: MathJax_Main;">.</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.211em; border-left: 0px solid; width: 0px; height: 2.932em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></mfrac><mo>≥</mo><mfrac><mn>2</mn><mrow><mn>1</mn><mo>−</mo><mi>x</mi><mi>y</mi></mrow></mfrac><mo>.</mo></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-74">\frac{1}{1-x^2}+\frac{1}{1-y^2}\ge \frac{2}{1-xy}.</script></p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'1/(1-x^2)+1/(1-y^2)-2/(1-x*y)'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-75-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>+</mo><mn>2</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>x</mi><mi>y</mi><mo>&#x2212;</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1294" style="width: 19.734em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.162em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1016.16em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1295"><span class="mo" id="MathJax-Span-1296" style="font-family: MathJax_Main;">−</span><span class="msubsup" id="MathJax-Span-1297"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1298" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1299"><span class="mrow" id="MathJax-Span-1300"><span class="mn" id="MathJax-Span-1301" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1302" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1303" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1304" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-1305"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1306" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1307"><span class="mrow" id="MathJax-Span-1308"><span class="mn" id="MathJax-Span-1309" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1310"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1311" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1312"><span class="mrow" id="MathJax-Span-1313"><span class="mn" id="MathJax-Span-1314" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1315" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1316" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1317" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1318"><span class="mrow" id="MathJax-Span-1319"><span class="mn" id="MathJax-Span-1320" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1321" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1322" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="msubsup" id="MathJax-Span-1323"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1324" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1325"><span class="mrow" id="MathJax-Span-1326"><span class="mn" id="MathJax-Span-1327" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1328" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1329" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-1330" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mi" id="MathJax-Span-1331" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1332" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1333" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1334" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1335"><span class="mrow" id="MathJax-Span-1336"><span class="mn" id="MathJax-Span-1337" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>+</mo><mn>2</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>x</mi><mi>y</mi><mo>−</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-75">- x^{3} y + 2 x^{2} y^{2} - x^{2} - x y^{3} + 2 x y - y^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-76-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>&#x2212;</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>x</mi><mi>y</mi><mo>+</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1338" style="width: 23.656em; display: inline-block;"><span style="display: inline-block; position: relative; width: 19.382em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1019.32em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1339"><span class="msubsup" id="MathJax-Span-1340"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1341" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1342"><span class="mrow" id="MathJax-Span-1343"><span class="mn" id="MathJax-Span-1344" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1345"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1346" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1347"><span class="mrow" id="MathJax-Span-1348"><span class="mn" id="MathJax-Span-1349" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1350" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1351" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1352" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1353"><span class="mrow" id="MathJax-Span-1354"><span class="mn" id="MathJax-Span-1355" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1356" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1357" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1358" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1359" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1360"><span class="mrow" id="MathJax-Span-1361"><span class="mn" id="MathJax-Span-1362" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1363"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1364" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1365"><span class="mrow" id="MathJax-Span-1366"><span class="mn" id="MathJax-Span-1367" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1368" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1369" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1370" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1371"><span class="mrow" id="MathJax-Span-1372"><span class="mn" id="MathJax-Span-1373" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1374" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1375" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="msubsup" id="MathJax-Span-1376"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1377" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1378"><span class="mrow" id="MathJax-Span-1379"><span class="mn" id="MathJax-Span-1380" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1381" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1382" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="mi" id="MathJax-Span-1383" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1384" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1385" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1386" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1387"><span class="mrow" id="MathJax-Span-1388"><span class="mn" id="MathJax-Span-1389" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1390" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1391" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>−</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>x</mi><mi>y</mi><mo>+</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-76">x^{3} y^{3} - x^{3} y - x^{2} y^{2} + x^{2} - x y^{3} + x y + y^{2} - 1</script>
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status: 2
|
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Program couldn't find any proof.
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-77-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>+</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>2</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>x</mi><mi>y</mi></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1392" style="width: 18.972em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.518em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1015.52em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1393"><span class="msubsup" id="MathJax-Span-1394"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1395" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1396"><span class="mrow" id="MathJax-Span-1397"><span class="mn" id="MathJax-Span-1398" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1399" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1400" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1401" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1402" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1403"><span class="mrow" id="MathJax-Span-1404"><span class="mn" id="MathJax-Span-1405" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1406" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1407" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="msubsup" id="MathJax-Span-1408"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1409" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1410"><span class="mrow" id="MathJax-Span-1411"><span class="mn" id="MathJax-Span-1412" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1413" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1414" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1415" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1416"><span class="mrow" id="MathJax-Span-1417"><span class="mn" id="MathJax-Span-1418" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1419" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1420" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-1421"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1422" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-1423"><span class="mrow" id="MathJax-Span-1424"><span class="mn" id="MathJax-Span-1425" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1426"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1427" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1428"><span class="mrow" id="MathJax-Span-1429"><span class="mn" id="MathJax-Span-1430" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1431" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1432" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-1433" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mi" id="MathJax-Span-1434" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>y</mi><mo>+</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>x</mi><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>2</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>x</mi><mi>y</mi></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-77"> x^{3} y+x^{2}+x y^{3}+y^{2} \le 2 x^{2} y^{2}+2 x y </script>
|
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It looks like the formula is symmetric. You can assume without loss of generality that x >= y. Try
|
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prove(makesubs(S("-x**3*y + 2*x**2*y**2 - x**2 - x*y**3 + 2*x*y - y**2"),[('y', 'oo')])
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<div class="prompt output_prompt">Out[10]:</div>
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<pre>2</pre>
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<p><code>prove</code> assumes that formula is well-defined if all variables are positive, so it doesn't have to analyze the denominator (except of choosing the right sign). In this case it is not true, since if <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-78-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1435" style="width: 3.047em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.462em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.4em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1436"><span class="mi" id="MathJax-Span-1437" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1438" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-1439" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-78">x=1</script>, then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-79-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>&#x2212;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1440" style="width: 5.682em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.628em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1004.57em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1441"><span class="mn" id="MathJax-Span-1442" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1443" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-1444" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1445" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-1446" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1447" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-1448" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>−</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-79">1-x^2=0</script>. Also denominator is equal to <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-80-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>y</mi><mn>2</mn></msup><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>x</mi><mi>y</mi><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1449" style="width: 13.001em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.659em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1010.54em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1450"><span class="mo" id="MathJax-Span-1451" style="font-family: MathJax_Main;">(</span><span class="msubsup" id="MathJax-Span-1452"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1453" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="mn" id="MathJax-Span-1454" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1455" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1456" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span><span class="mo" id="MathJax-Span-1457" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-1458" style="font-family: MathJax_Main;">(</span><span class="msubsup" id="MathJax-Span-1459"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1460" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-1461" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1462" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1463" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span><span class="mo" id="MathJax-Span-1464" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-1465" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-1466" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mi" id="MathJax-Span-1467" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1468" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1469" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span><span class="mo" id="MathJax-Span-1470" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>y</mi><mn>2</mn></msup><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>x</mi><mi>y</mi><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-80">(x^2-1)(y^2-1)(xy-1)</script> which is negative for <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-81-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>,</mo><mi>y</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1471" style="width: 6.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.038em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.92em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1472"><span class="mi" id="MathJax-Span-1473" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1474" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-1475" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1476" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-1477" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-1478" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1479" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1480" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-1481" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>,</mo><mi>y</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-81">x,y\in (0,1)</script>. So we need to make some substitution after which new variables can have all positive values, not just these inside (0,1) interval.</p>
|
||
<p>We will use a function <code>makesubs</code> to generate these substitutions. It has three basic parameters: <code>formula</code>, <code>intervals</code> and <code>values</code>. <code>intervals</code> are current limitations of variables, <code>values</code> are values of variables for which <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-82-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1482" style="width: 4.453em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.633em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1003.57em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1483"><span class="mi" id="MathJax-Span-1484" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1485" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mi" id="MathJax-Span-1486" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mi" id="MathJax-Span-1487" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-1488" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mi" id="MathJax-Span-1489" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-1490" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-1491" style="font-family: MathJax_Math; font-style: italic;">t</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></math></span></span><script type="math/tex" id="MathJax-Element-82">quotient</script> of <code>formula</code> is small. <code>values</code> should be inside corresponding <code>intervals</code>. This argument is optional but it's better to use it.
|
||
Let's go back to our problem. If <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-83-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1492" style="width: 3.047em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.462em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1002.46em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1493"><span class="mi" id="MathJax-Span-1494" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1495" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-1496" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi></math></span></span><script type="math/tex" id="MathJax-Element-83">x=y</script>, then <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-84-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>&#x2212;</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>&#x2212;</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></mfrac><mo>&#x2265;</mo><mfrac><mn>2</mn><mrow><mn>1</mn><mo>&#x2212;</mo><mi>x</mi><mi>y</mi></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1497" style="width: 10.542em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.609em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1008.61em, 2.93em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1498"><span class="mfrac" id="MathJax-Span-1499"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1500" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.282em, 1001.64em, 4.218em, -999.997em); top: -3.51em; left: 50%; margin-left: -0.817em;"><span class="mrow" id="MathJax-Span-1501"><span class="mn" id="MathJax-Span-1502" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1503" style="font-size: 70.7%; font-family: MathJax_Main;">−</span><span class="msubsup" id="MathJax-Span-1504"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.516em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1505" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.154em; left: 0.413em;"><span class="mn" id="MathJax-Span-1506" style="font-size: 50%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.76em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.759em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1507" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-1508" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1509" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.282em, 1001.58em, 4.277em, -999.997em); top: -3.51em; left: 50%; margin-left: -0.817em;"><span class="mrow" id="MathJax-Span-1510"><span class="mn" id="MathJax-Span-1511" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1512" style="font-size: 70.7%; font-family: MathJax_Main;">−</span><span class="msubsup" id="MathJax-Span-1513"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.516em, 1000.35em, 4.277em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1514" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.154em; left: 0.413em;"><span class="mn" id="MathJax-Span-1515" style="font-size: 50%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.76em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.759em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1516" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mfrac" id="MathJax-Span-1517" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1518" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.64em, 4.277em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.817em;"><span class="mrow" id="MathJax-Span-1519"><span class="mn" id="MathJax-Span-1520" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-1521" style="font-size: 70.7%; font-family: MathJax_Main;">−</span><span class="mi" id="MathJax-Span-1522" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">x</span><span class="mi" id="MathJax-Span-1523" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.76em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.759em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.782em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></mfrac><mo>≥</mo><mfrac><mn>2</mn><mrow><mn>1</mn><mo>−</mo><mi>x</mi><mi>y</mi></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-84">\frac{1}{1-x^2}+\frac{1}{1-y^2}\ge \frac{2}{1-xy}</script>, so it's the minimum value of the formula. So let <code>values=(1/2,1/2)</code> (<strong>warning: do not use decimal point</strong>, for example '0.5,0.5').</p>
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<div class="prompt input_prompt">In [11]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">newformula</span><span class="p">,</span><span class="n">newvalues</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="s1">'1/(1-x^2)+1/(1-y^2)-2/(1-x*y)'</span><span class="p">,</span><span class="s1">'[0,1],[0,1]'</span><span class="p">,</span><span class="s1">'1/2,1/2'</span><span class="p">)</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">newformula</span><span class="o">*</span><span class="mi">3</span><span class="p">,</span><span class="n">newvalues</span><span class="p">)</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-85-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>&#x2212;</mo><mfrac><mn>1</mn><mrow><mi>a</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1524" style="width: 6.794em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.565em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.57em, 2.813em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1525"><span class="mi" id="MathJax-Span-1526" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1527" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-1528" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-1529" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mfrac" id="MathJax-Span-1530" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1531" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.23em, 4.218em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.641em;"><span class="mrow" id="MathJax-Span-1532"><span class="mi" id="MathJax-Span-1533" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-1534" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-1535" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.41em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.408em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.639em; border-left: 0px solid; width: 0px; height: 1.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mn>1</mn><mo>−</mo><mfrac><mn>1</mn><mrow><mi>a</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-85">x\to 1 - \frac{1}{a + 1}</script>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-86-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>&#x2212;</mo><mfrac><mn>1</mn><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1536" style="width: 6.677em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.448em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.45em, 2.813em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1537"><span class="mi" id="MathJax-Span-1538" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1539" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-1540" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-1541" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mfrac" id="MathJax-Span-1542" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1543" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.17em, 4.218em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.583em;"><span class="mrow" id="MathJax-Span-1544"><span class="mi" id="MathJax-Span-1545" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1546" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-1547" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.35em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.639em; border-left: 0px solid; width: 0px; height: 1.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo stretchy="false">→</mo><mn>1</mn><mo>−</mo><mfrac><mn>1</mn><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-86">y\to 1 - \frac{1}{b + 1}</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-87-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>12</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>3</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>6</mn><mi>a</mi><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1548" style="width: 35.073em; display: inline-block;"><span style="display: inline-block; position: relative; width: 28.75em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1028.75em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1549"><span class="mn" id="MathJax-Span-1550" style="font-family: MathJax_Main;">6</span><span class="msubsup" id="MathJax-Span-1551"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1552" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1553"><span class="mrow" id="MathJax-Span-1554"><span class="mn" id="MathJax-Span-1555" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1556" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1557" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1558" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1559"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1560" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1561"><span class="mrow" id="MathJax-Span-1562"><span class="mn" id="MathJax-Span-1563" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1564" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1565" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-1566"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1567" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1568"><span class="mrow" id="MathJax-Span-1569"><span class="mn" id="MathJax-Span-1570" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1571"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1572" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1573"><span class="mrow" id="MathJax-Span-1574"><span class="mn" id="MathJax-Span-1575" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1576" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1577" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1578"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1579" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1580"><span class="mrow" id="MathJax-Span-1581"><span class="mn" id="MathJax-Span-1582" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1583" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1584" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1585" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1586"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1587" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1588"><span class="mrow" id="MathJax-Span-1589"><span class="mn" id="MathJax-Span-1590" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1591" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1592" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-1593" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-1594"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1595" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1596"><span class="mrow" id="MathJax-Span-1597"><span class="mn" id="MathJax-Span-1598" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1599" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1600" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-1601" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-1602"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1603" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1604"><span class="mrow" id="MathJax-Span-1605"><span class="mn" id="MathJax-Span-1606" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1607" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1608" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-1609" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-1610" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1611" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1612" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1613"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1614" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1615"><span class="mrow" id="MathJax-Span-1616"><span class="mn" id="MathJax-Span-1617" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1619" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1620"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1621" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1622"><span class="mrow" id="MathJax-Span-1623"><span class="mn" id="MathJax-Span-1624" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>12</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>3</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>6</mn><mi>a</mi><mi>b</mi><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-87">6 a^{3} b + 3 a^{3} - 12 a^{2} b^{2} - 3 a^{2} b + 3 a^{2} + 6 a b^{3} - 3 a b^{2} - 6 a b + 3 b^{3} + 3 b^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-88-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>a</mi><mi>b</mi><mo>+</mo><mn>3</mn><mi>a</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>b</mi><mo>+</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1625" style="width: 23.539em; display: inline-block;"><span style="display: inline-block; position: relative; width: 19.265em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1019.21em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1626"><span class="mn" id="MathJax-Span-1627" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-1628"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1629" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1630"><span class="mrow" id="MathJax-Span-1631"><span class="mn" id="MathJax-Span-1632" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1633" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1634" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1635" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-1636"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1637" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1638"><span class="mrow" id="MathJax-Span-1639"><span class="mn" id="MathJax-Span-1640" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1641" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1642" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-1643" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-1644"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1645" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1646"><span class="mrow" id="MathJax-Span-1647"><span class="mn" id="MathJax-Span-1648" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1649" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1650" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-1651" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-1652" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1653" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1654" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-1655" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-1656" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1657" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-1658"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1659" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1660"><span class="mrow" id="MathJax-Span-1661"><span class="mn" id="MathJax-Span-1662" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1663" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1664" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-1665" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1666" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1667" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>a</mi><mi>b</mi><mo>+</mo><mn>3</mn><mi>a</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>b</mi><mo>+</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-88">4 a^{2} b + 2 a^{2} + 4 a b^{2} + 8 a b + 3 a + 2 b^{2} + 3 b + 1</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
status: 0
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
From weighted AM-GM inequality:
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-89-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>12</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>6</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1668" style="width: 11.303em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.254em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1009.25em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1669"><span class="mn" id="MathJax-Span-1670" style="font-family: MathJax_Main;">12</span><span class="msubsup" id="MathJax-Span-1671"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1672" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1673"><span class="mrow" id="MathJax-Span-1674"><span class="mn" id="MathJax-Span-1675" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1676"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1677" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1678"><span class="mrow" id="MathJax-Span-1679"><span class="mn" id="MathJax-Span-1680" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1681" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1682" style="font-family: MathJax_Main; padding-left: 0.296em;">6</span><span class="msubsup" id="MathJax-Span-1683"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1684" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1685"><span class="mrow" id="MathJax-Span-1686"><span class="mn" id="MathJax-Span-1687" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1688" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1689" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1690" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-1691" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-1692"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1693" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1694"><span class="mrow" id="MathJax-Span-1695"><span class="mn" id="MathJax-Span-1696" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>12</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>6</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-89">12 a^{2} b^{2} \le 6 a^{3} b+6 a b^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-90-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>&#x2264;</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1697" style="width: 8.317em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.794em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.79em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1698"><span class="mn" id="MathJax-Span-1699" style="font-family: MathJax_Main;">3</span><span class="msubsup" id="MathJax-Span-1700"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1701" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1702"><span class="mrow" id="MathJax-Span-1703"><span class="mn" id="MathJax-Span-1704" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-1705" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1706" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1707" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-1708"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1709" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1710"><span class="mrow" id="MathJax-Span-1711"><span class="mn" id="MathJax-Span-1712" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1713" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1714" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1715" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1716"><span class="mrow" id="MathJax-Span-1717"><span class="mn" id="MathJax-Span-1718" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mo>≤</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-90">3 a^{2} b \le 2 a^{3}+b^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-91-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>3</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1719" style="width: 8.375em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.853em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.85em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1720"><span class="mn" id="MathJax-Span-1721" style="font-family: MathJax_Main;">3</span><span class="mi" id="MathJax-Span-1722" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-1723"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1724" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1725"><span class="mrow" id="MathJax-Span-1726"><span class="mn" id="MathJax-Span-1727" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1728" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-1729" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1730" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1731"><span class="mrow" id="MathJax-Span-1732"><span class="mn" id="MathJax-Span-1733" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1734" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1735" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-1736"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1737" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1738"><span class="mrow" id="MathJax-Span-1739"><span class="mn" id="MathJax-Span-1740" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>3</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-91">3 a b^{2} \le a^{3}+2 b^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-92-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>a</mi><mi>b</mi><mo>&#x2264;</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1741" style="width: 8.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.912em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.91em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1742"><span class="mn" id="MathJax-Span-1743" style="font-family: MathJax_Main;">6</span><span class="mi" id="MathJax-Span-1744" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-1745" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1746" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1747" style="font-family: MathJax_Main; padding-left: 0.296em;">3</span><span class="msubsup" id="MathJax-Span-1748"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1749" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1750"><span class="mrow" id="MathJax-Span-1751"><span class="mn" id="MathJax-Span-1752" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1753" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1754" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-1755"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1756" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1757"><span class="mrow" id="MathJax-Span-1758"><span class="mn" id="MathJax-Span-1759" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>a</mi><mi>b</mi><mo>≤</mo><mn>3</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-92">6 a b \le 3 a^{2}+3 b^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-93-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1760" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1761"><span class="mn" id="MathJax-Span-1762" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1763" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-1764" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-93"> 0 \le 0 </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[11]:</div>
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<pre>0</pre>
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<p>Now let's get back to problem 3.</p>
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<h4 id="Problem-3">Problem 3<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem-3">¶</a></h4><p>If <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-94-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1765" style="width: 2.813em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1002.29em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1766"><span class="mi" id="MathJax-Span-1767" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-1768" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-1769" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-1770" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-1771" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-94">a,b,c</script> are positive real numbers that satisfy <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-95-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1772" style="width: 8.668em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.087em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1007.03em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1773"><span class="msubsup" id="MathJax-Span-1774"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1775" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-1776" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1777" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1778" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1779" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1780" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1781" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1782" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1783" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1784" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1785" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-1786" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>c</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-95">a^2+b^2+c^2=1</script>, find the minimal value of
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-96-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mrow><msup><mi>a</mi><mn>2</mn></msup><msup><mi>b</mi><mn>2</mn></msup></mrow><msup><mi>c</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mrow><msup><mi>b</mi><mn>2</mn></msup><msup><mi>c</mi><mn>2</mn></msup></mrow><msup><mi>a</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mrow><msup><mi>c</mi><mn>2</mn></msup><msup><mi>a</mi><mn>2</mn></msup></mrow><msup><mi>b</mi><mn>2</mn></msup></mfrac></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1787" style="width: 10.893em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.902em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.471em, 1008.9em, 3.106em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1788"><span class="mfrac" id="MathJax-Span-1789"><span style="display: inline-block; position: relative; width: 1.935em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(2.989em, 1001.82em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.934em;"><span class="mrow" id="MathJax-Span-1790"><span class="msubsup" id="MathJax-Span-1791"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1792" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-1793" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1794"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1795" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1796" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.047em, 1000.88em, 4.16em, -999.997em); top: -3.217em; left: 50%; margin-left: -0.407em;"><span class="msubsup" id="MathJax-Span-1797"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1798" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.271em; left: 0.413em;"><span class="mn" id="MathJax-Span-1799" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.93em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.935em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1800" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-1801" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.818em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(2.989em, 1001.7em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.875em;"><span class="mrow" id="MathJax-Span-1802"><span class="msubsup" id="MathJax-Span-1803"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1804" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1805" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1806"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1807" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1808" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.047em, 1000.94em, 4.16em, -999.997em); top: -3.217em; left: 50%; margin-left: -0.465em;"><span class="msubsup" id="MathJax-Span-1809"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1810" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.271em; left: 0.53em;"><span class="mn" id="MathJax-Span-1811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.82em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.818em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-1812" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-1813" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.935em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(2.989em, 1001.82em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.934em;"><span class="mrow" id="MathJax-Span-1814"><span class="msubsup" id="MathJax-Span-1815"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1816" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-1817" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1818"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1819" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="mn" id="MathJax-Span-1820" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.047em, 1000.88em, 4.16em, -999.997em); top: -3.217em; left: 50%; margin-left: -0.407em;"><span class="msubsup" id="MathJax-Span-1821"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1822" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.271em; left: 0.413em;"><span class="mn" id="MathJax-Span-1823" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.93em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.935em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.996em; border-left: 0px solid; width: 0px; height: 2.932em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mrow><msup><mi>a</mi><mn>2</mn></msup><msup><mi>b</mi><mn>2</mn></msup></mrow><msup><mi>c</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mrow><msup><mi>b</mi><mn>2</mn></msup><msup><mi>c</mi><mn>2</mn></msup></mrow><msup><mi>a</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mrow><msup><mi>c</mi><mn>2</mn></msup><msup><mi>a</mi><mn>2</mn></msup></mrow><msup><mi>b</mi><mn>2</mn></msup></mfrac></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-96">\frac{a^2b^2}{c^2}+\frac{b^2c^2}{a^2}+\frac{c^2a^2}{b^2}</script></p>
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<p>The problem is equivalent to finding minimum of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-97-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>z</mi><mo>+</mo><mi>y</mi><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>x</mi><mo>+</mo><mi>z</mi><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>y</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1824" style="width: 10.542em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.609em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1008.61em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1825"><span class="mi" id="MathJax-Span-1826" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mi" id="MathJax-Span-1827" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="texatom" id="MathJax-Span-1828"><span class="mrow" id="MathJax-Span-1829"><span class="mo" id="MathJax-Span-1830" style="font-family: MathJax_Main;">/</span></span></span><span class="mi" id="MathJax-Span-1831" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1832" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1833" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1834" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="texatom" id="MathJax-Span-1835"><span class="mrow" id="MathJax-Span-1836"><span class="mo" id="MathJax-Span-1837" style="font-family: MathJax_Main;">/</span></span></span><span class="mi" id="MathJax-Span-1838" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1839" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1840" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-1841" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="texatom" id="MathJax-Span-1842"><span class="mrow" id="MathJax-Span-1843"><span class="mo" id="MathJax-Span-1844" style="font-family: MathJax_Main;">/</span></span></span><span class="mi" id="MathJax-Span-1845" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>z</mi><mo>+</mo><mi>y</mi><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>x</mi><mo>+</mo><mi>z</mi><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>y</mi></math></span></span><script type="math/tex" id="MathJax-Element-97">xy/z+yz/x+zx/y</script> assuming <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-98-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1846" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1005.86em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1847"><span class="mi" id="MathJax-Span-1848" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1849" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1850" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1851" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1852" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1853" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-1854" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-98">x+y+z=1</script> and <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-99-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>&gt;</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1855" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1004.28em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1856"><span class="mi" id="MathJax-Span-1857" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1858" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-1859" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1860" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-1861" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1862" style="font-family: MathJax_Main; padding-left: 0.296em;">></span><span class="mn" id="MathJax-Span-1863" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>></mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-99">x,y,z>0</script>. The first idea is to suppose that the minimum is reached when <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-100-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>z</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1864" style="width: 5.214em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.277em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1004.28em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1865"><span class="mi" id="MathJax-Span-1866" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1867" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-1868" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1869" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-1870" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>z</mi></math></span></span><script type="math/tex" id="MathJax-Element-100">x=y=z</script>. In that case, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-101-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>z</mi><mo>=</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mn>3</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1871" style="width: 8.727em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.146em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1007.09em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1872"><span class="mi" id="MathJax-Span-1873" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1874" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-1875" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1876" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-1877" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1878" style="font-family: MathJax_Main; padding-left: 0.296em;">=</span><span class="mn" id="MathJax-Span-1879" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-1880"><span class="mrow" id="MathJax-Span-1881"><span class="mo" id="MathJax-Span-1882" style="font-family: MathJax_Main;">/</span></span></span><span class="mn" id="MathJax-Span-1883" style="font-family: MathJax_Main;">3</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>z</mi><mo>=</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mn>3</mn></math></span></span><script type="math/tex" id="MathJax-Element-101">x=y=z=1/3</script> and formula is equal to 1. Now we can substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-102-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>&#x2212;</mo><mi>x</mi><mo>&#x2212;</mo><mi>y</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1884" style="width: 7.497em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.15em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1006.15em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1885"><span class="mi" id="MathJax-Span-1886" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1887" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-1888" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-1889" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1890" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="mo" id="MathJax-Span-1891" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1892" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo stretchy="false">→</mo><mn>1</mn><mo>−</mo><mi>x</mi><mo>−</mo><mi>y</mi></math></span></span><script type="math/tex" id="MathJax-Element-102">z\to 1-x-y</script>. Constraints for variables are <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-103-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&gt;</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1893" style="width: 3.047em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.462em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.4em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1894"><span class="mi" id="MathJax-Span-1895" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1896" style="font-family: MathJax_Main; padding-left: 0.296em;">></span><span class="mn" id="MathJax-Span-1897" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>></mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-103">x>0</script>, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-104-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>&gt;</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1898" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1899"><span class="mi" id="MathJax-Span-1900" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1901" style="font-family: MathJax_Main; padding-left: 0.296em;">></span><span class="mn" id="MathJax-Span-1902" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>></mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-104">y>0</script>, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-105-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo>&lt;</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1903" style="width: 5.155em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.218em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1004.16em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1904"><span class="mi" id="MathJax-Span-1905" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1906" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-1907" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1908" style="font-family: MathJax_Main; padding-left: 0.296em;"><</span><span class="mn" id="MathJax-Span-1909" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo><</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-105">x+y<1</script>. We can rewrite it as <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-106-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>&#x2212;</mo><mi>y</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1910" style="width: 7.087em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1005.68em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1911"><span class="mi" id="MathJax-Span-1912" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1913" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-1914" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-1915" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1916" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1917" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-1918" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-1919" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1920" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>−</mo><mi>y</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-106">x \in (0,1-y)</script>, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-107-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1921" style="width: 4.862em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.984em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1003.87em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1922"><span class="mi" id="MathJax-Span-1923" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1924" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-1925" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-1926" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-1927" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-1928" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-1929" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-107">y \in (0,1)</script>. These two conditions have two important properties:</p>
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<ul>
|
||
<li>constraints for variables are written as intervals,</li>
|
||
<li>there are no "backwards dependencies", i.e. there is no <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-108-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1930" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.53em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1931"><span class="mi" id="MathJax-Span-1932" style="font-family: MathJax_Math; font-style: italic;">x</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-108">x</script> in the interval of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-109-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1933" style="width: 0.588em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.471em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.47em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1934"><span class="mi" id="MathJax-Span-1935" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></span></span><script type="math/tex" id="MathJax-Element-109">y</script>.</li>
|
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</ul>
|
||
<p>If these two conditions hold, then you can use <code>makesubs</code> function.</p>
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|
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<div class="prompt input_prompt">In [12]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
|
||
<span class="n">formula</span><span class="o">=</span><span class="n">Sm</span><span class="p">(</span><span class="s1">'xy/z+yz/x+zx/y-1'</span><span class="p">)</span><span class="o">.</span><span class="n">subs</span><span class="p">(</span><span class="s1">'z'</span><span class="p">,</span><span class="n">S</span><span class="p">(</span><span class="s1">'1-x-y'</span><span class="p">))</span>
|
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<span class="n">newformula</span><span class="p">,</span><span class="n">values</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[0,1-y],[0,1]'</span><span class="p">,</span><span class="s1">'1/3,1/3'</span><span class="p">)</span>
|
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<span class="n">prove</span><span class="p">(</span><span class="n">newformula</span><span class="p">,</span><span class="n">values</span><span class="p">)</span>
|
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</pre></div>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-110-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mo>&#x2212;</mo><mi>y</mi><mo>+</mo><mn>1</mn><mo>+</mo><mfrac><mrow><mi>y</mi><mo>&#x2212;</mo><mn>1</mn></mrow><mrow><mi>a</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1936" style="width: 9.898em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.083em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.94em, 1008.08em, 2.813em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1937"><span class="mi" id="MathJax-Span-1938" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-1939" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mo" id="MathJax-Span-1940" style="font-family: MathJax_Main; padding-left: 0.296em;">−</span><span class="mi" id="MathJax-Span-1941" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1942" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-1943" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span><span class="mo" id="MathJax-Span-1944" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-1945" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1001.23em, 4.277em, -999.997em); top: -4.564em; left: 50%; margin-left: -0.641em;"><span class="mrow" id="MathJax-Span-1946"><span class="mi" id="MathJax-Span-1947" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1948" style="font-size: 70.7%; font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-1949" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.23em, 4.218em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.641em;"><span class="mrow" id="MathJax-Span-1950"><span class="mi" id="MathJax-Span-1951" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-1952" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-1953" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.41em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.408em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.639em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mo>−</mo><mi>y</mi><mo>+</mo><mn>1</mn><mo>+</mo><mfrac><mrow><mi>y</mi><mo>−</mo><mn>1</mn></mrow><mrow><mi>a</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-110">x\to - y + 1 + \frac{y - 1}{a + 1}</script>
|
||
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|
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-111-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>&#x2212;</mo><mfrac><mn>1</mn><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1954" style="width: 6.677em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.448em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.45em, 2.813em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1955"><span class="mi" id="MathJax-Span-1956" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-1957" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-1958" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-1959" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mfrac" id="MathJax-Span-1960" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1961" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.17em, 4.218em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.583em;"><span class="mrow" id="MathJax-Span-1962"><span class="mi" id="MathJax-Span-1963" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1964" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-1965" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.35em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.639em; border-left: 0px solid; width: 0px; height: 1.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo stretchy="false">→</mo><mn>1</mn><mo>−</mo><mfrac><mn>1</mn><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-111">y\to 1 - \frac{1}{b + 1}</script>
|
||
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|
||
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||
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|
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||
<div class="output_area">
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-112-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mfrac><mi>c</mi><mn>2</mn></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1966" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1002.75em, 2.755em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1967"><span class="mi" id="MathJax-Span-1968" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-1969" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mfrac" id="MathJax-Span-1970" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.471em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.516em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mi" id="MathJax-Span-1971" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.3em, 4.16em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.173em;"><span class="mn" id="MathJax-Span-1972" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.47em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.471em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.568em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mfrac><mi>c</mi><mn>2</mn></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-112">b\to \frac{c}{2}</script>
|
||
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|
||
|
||
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|
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|
||
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|
||
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||
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||
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|
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-113-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>&#x2212;</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1973" style="width: 26.115em; display: inline-block;"><span style="display: inline-block; position: relative; width: 21.373em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1021.37em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-1974"><span class="msubsup" id="MathJax-Span-1975"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1976" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1977"><span class="mrow" id="MathJax-Span-1978"><span class="mn" id="MathJax-Span-1979" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1980"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1981" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1982"><span class="mrow" id="MathJax-Span-1983"><span class="mn" id="MathJax-Span-1984" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1985" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-1986" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1987" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-1988"><span class="mrow" id="MathJax-Span-1989"><span class="mn" id="MathJax-Span-1990" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-1991"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1992" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-1993"><span class="mrow" id="MathJax-Span-1994"><span class="mn" id="MathJax-Span-1995" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-1996" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-1997" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-1998"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-1999" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2000"><span class="mrow" id="MathJax-Span-2001"><span class="mn" id="MathJax-Span-2002" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2003" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2004" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2005" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-2006"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2007" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2008"><span class="mrow" id="MathJax-Span-2009"><span class="mn" id="MathJax-Span-2010" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2011" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2012" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2013" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-2014"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2015" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2016"><span class="mrow" id="MathJax-Span-2017"><span class="mn" id="MathJax-Span-2018" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2019" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2020" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2021"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2022" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2023"><span class="mrow" id="MathJax-Span-2024"><span class="mn" id="MathJax-Span-2025" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2026" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2027" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2028" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2029" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2030" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2031" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2032" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2033"><span class="mrow" id="MathJax-Span-2034"><span class="mn" id="MathJax-Span-2035" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>−</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-113">a^{4} c^{2} + a^{3} c^{2} - 2 a^{3} c - 4 a^{2} c + 4 a^{2} + a c^{2} - 2 a c + c^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-114-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2036" style="width: 20.787em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.04em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1017.04em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2037"><span class="msubsup" id="MathJax-Span-2038"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2039" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2040"><span class="mrow" id="MathJax-Span-2041"><span class="mn" id="MathJax-Span-2042" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2043"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2044" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2045"><span class="mrow" id="MathJax-Span-2046"><span class="mn" id="MathJax-Span-2047" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2048" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2049" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2050"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2051" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2052"><span class="mrow" id="MathJax-Span-2053"><span class="mn" id="MathJax-Span-2054" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2055" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2056" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2057" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2058"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2059" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2060"><span class="mrow" id="MathJax-Span-2061"><span class="mn" id="MathJax-Span-2062" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2063"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2064" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2065"><span class="mrow" id="MathJax-Span-2066"><span class="mn" id="MathJax-Span-2067" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2068" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2069" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-2070"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2071" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2072"><span class="mrow" id="MathJax-Span-2073"><span class="mn" id="MathJax-Span-2074" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2075" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2076" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2077" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2078"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2079" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2080"><span class="mrow" id="MathJax-Span-2081"><span class="mn" id="MathJax-Span-2082" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2083" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2084" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2085" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2086" style="font-family: MathJax_Math; font-style: italic;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-114">a^{3} c^{2} + 2 a^{3} c + 2 a^{2} c^{2} + 4 a^{2} c + a c^{2} + 2 a c</script>
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</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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status: 0
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</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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From weighted AM-GM inequality:
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</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-115-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2087" style="width: 8.902em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.263em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1007.26em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2088"><span class="mn" id="MathJax-Span-2089" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-2090"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2091" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2092"><span class="mrow" id="MathJax-Span-2093"><span class="mn" id="MathJax-Span-2094" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2095" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2096" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2097" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2098" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2099"><span class="mrow" id="MathJax-Span-2100"><span class="mn" id="MathJax-Span-2101" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2102"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2103" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2104"><span class="mrow" id="MathJax-Span-2105"><span class="mn" id="MathJax-Span-2106" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2107" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2108" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2109" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2110"><span class="mrow" id="MathJax-Span-2111"><span class="mn" id="MathJax-Span-2112" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-115">2 a^{3} c \le a^{4} c^{2}+a^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
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|
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|
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|
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-116-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2113" style="width: 12.708em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.424em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.42em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2114"><span class="mn" id="MathJax-Span-2115" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-2116"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2117" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2118"><span class="mrow" id="MathJax-Span-2119"><span class="mn" id="MathJax-Span-2120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2121" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2122" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2123" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2124" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2125"><span class="mrow" id="MathJax-Span-2126"><span class="mn" id="MathJax-Span-2127" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2128"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2129" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2130"><span class="mrow" id="MathJax-Span-2131"><span class="mn" id="MathJax-Span-2132" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2133" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2134" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2135"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2136" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2137"><span class="mrow" id="MathJax-Span-2138"><span class="mn" id="MathJax-Span-2139" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2140" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2141" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2142"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2143" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2144"><span class="mrow" id="MathJax-Span-2145"><span class="mn" id="MathJax-Span-2146" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-116">4 a^{2} c \le a^{3} c^{2}+2 a^{2}+a c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-117-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2147" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.92em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2148"><span class="mn" id="MathJax-Span-2149" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-2150" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2151" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2152" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2153" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2154" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2155"><span class="mrow" id="MathJax-Span-2156"><span class="mn" id="MathJax-Span-2157" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2158" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2159" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2160" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2161"><span class="mrow" id="MathJax-Span-2162"><span class="mn" id="MathJax-Span-2163" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-117">2 a c \le a^{2}+c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-118-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2164" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2165"><span class="mn" id="MathJax-Span-2166" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-2167" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-2168" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-118"> 0 \le 0 </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[12]:</div>
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<pre>0</pre>
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<p>The proof is found, so the assumption that 1 is the minimum of <code>xy/z+yz/x+zx/y</code> was good.</p>
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<p>Functions <code>S</code> and <code>Sm</code> creates a SymPy object from a string. The only difference is that <code>Sm</code> assumes that there are no multi-letter variables and adds a multiplication sign between every two terms which has no operator sign, so object <code>Sm(xy/z+yz/x+zx/y)</code> has 3 variables <code>x,y,z</code> and <code>S('xy/z+yz/x+zx/y')</code> has 6 variables <code>x,y,z,xy,yz,zx</code>.</p>
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<p>As you may have noticed, formulas are often cyclic or symmetric. Therefore you can use <code>cyclize</code> or <code>symmetrize</code> function to reduce the length of the written formula. Here are a few commands which will do the same as each other.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'(a^2+b^2+c^2-a*b-a*c-b*c)*2'</span><span class="p">)</span>
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<span class="c1">#prove(S('(a^2+b^2+c^2-a*b-a*c-b*c)*2'))</span>
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<span class="c1">#prove(Sm('2(a^2+b^2+c^2-ab-ac-bc)'))</span>
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<span class="c1">#prove(cyclize('2*a^2-2*a*b'))</span>
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<span class="c1">#prove(symmetrize('a^2-a*b'))</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-119-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>&#x2212;</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2169" style="width: 18.036em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.757em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1014.76em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2170"><span class="mn" id="MathJax-Span-2171" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-2172"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2173" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2174"><span class="mrow" id="MathJax-Span-2175"><span class="mn" id="MathJax-Span-2176" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2177" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2178" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2179" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2180" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2181" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2182" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2183" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2184" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2185" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2186" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2187"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2188" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2189"><span class="mrow" id="MathJax-Span-2190"><span class="mn" id="MathJax-Span-2191" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2192" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2193" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2194" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2195" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2196" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2197" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2198"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2199" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2200"><span class="mrow" id="MathJax-Span-2201"><span class="mn" id="MathJax-Span-2202" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>−</mo><mn>2</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-119">2 a^{2} - 2 a b - 2 a c + 2 b^{2} - 2 b c + 2 c^{2}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-120-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2203" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2204"><span class="mn" id="MathJax-Span-2205" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-120">1</script>
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status: 0
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From weighted AM-GM inequality:
|
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-121-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>b</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2206" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.92em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2207"><span class="mn" id="MathJax-Span-2208" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-2209" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2210" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2211" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2212" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2213" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2214"><span class="mrow" id="MathJax-Span-2215"><span class="mn" id="MathJax-Span-2216" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2217" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2218" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2219" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2220"><span class="mrow" id="MathJax-Span-2221"><span class="mn" id="MathJax-Span-2222" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>b</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-121">2 a b \le a^{2}+b^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-122-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2223" style="width: 7.263em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.916em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.92em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2224"><span class="mn" id="MathJax-Span-2225" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-2226" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2227" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2228" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2229" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2230" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2231"><span class="mrow" id="MathJax-Span-2232"><span class="mn" id="MathJax-Span-2233" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2234" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2235" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2236" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2237"><span class="mrow" id="MathJax-Span-2238"><span class="mn" id="MathJax-Span-2239" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>a</mi><mi>c</mi><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-122">2 a c \le a^{2}+c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-123-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>c</mi><mo>&#x2264;</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2240" style="width: 7.029em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.74em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2241"><span class="mn" id="MathJax-Span-2242" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-2243" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2244" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2245" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2246" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2247" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2248"><span class="mrow" id="MathJax-Span-2249"><span class="mn" id="MathJax-Span-2250" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2251" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2252" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2253" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2254"><span class="mrow" id="MathJax-Span-2255"><span class="mn" id="MathJax-Span-2256" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>b</mi><mi>c</mi><mo>≤</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-123">2 b c \le b^{2}+c^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-124-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2257" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2258"><span class="mn" id="MathJax-Span-2259" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-2260" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-2261" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-124"> 0 \le 0 </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[13]:</div>
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<pre>0</pre>
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<p>Now look at formula <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-125-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>x</mi><mo>&#x2212;</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mn>4</mn></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2262" style="width: 4.335em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.516em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1003.52em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2263"><span class="mo" id="MathJax-Span-2264" style="font-family: MathJax_Main;">(</span><span class="mi" id="MathJax-Span-2265" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2266" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2267" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span><span class="msubsup" id="MathJax-Span-2268"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.047em, 1000.3em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mo" id="MathJax-Span-2269" style="font-family: MathJax_Main;">)</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="mn" id="MathJax-Span-2270" style="font-size: 70.7%; font-family: MathJax_Main;">4</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>x</mi><mo>−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mn>4</mn></msup></math></span></span><script type="math/tex" id="MathJax-Element-125">(x-1)^4</script>. It's quite obvious that it's nonnegative, but <code>prove</code> fails to show this!</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="s1">'(x-1)^4'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-126-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2271" style="width: 12.942em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.6em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1010.54em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2272"><span class="msubsup" id="MathJax-Span-2273"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2274" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2275"><span class="mrow" id="MathJax-Span-2276"><span class="mn" id="MathJax-Span-2277" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2278" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2279" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-2280"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2281" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2282"><span class="mrow" id="MathJax-Span-2283"><span class="mn" id="MathJax-Span-2284" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2285" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2286" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-2287"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2288" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2289"><span class="mrow" id="MathJax-Span-2290"><span class="mn" id="MathJax-Span-2291" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2292" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2293" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-2294" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2295" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2296" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>−</mo><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-126">x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-127-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2297" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2298"><span class="mn" id="MathJax-Span-2299" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-127">1</script>
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status: 2
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Program couldn't find any proof.
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-128-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>&#x2264;</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2300" style="width: 13.118em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.717em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.66em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2301"><span class="mn" id="MathJax-Span-2302" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-2303"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2304" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2305"><span class="mrow" id="MathJax-Span-2306"><span class="mn" id="MathJax-Span-2307" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2308" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2309" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-2310" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2311" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2312" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2313" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2314"><span class="mrow" id="MathJax-Span-2315"><span class="mn" id="MathJax-Span-2316" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2317" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2318" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-2319"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2320" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2321"><span class="mrow" id="MathJax-Span-2322"><span class="mn" id="MathJax-Span-2323" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2324" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2325" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>≤</mo><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>1</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-128"> 4 x^{3}+4 x \le x^{4}+6 x^{2}+1 </script>
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<pre>2</pre>
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<p>But there is a relatively simple method to generate a proof using this library. We will make to proofs: one for <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-129-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mi mathvariant="normal">&#x221E;</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2326" style="width: 5.565em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.57em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.45em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2327"><span class="mi" id="MathJax-Span-2328" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2329" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-2330" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-2331" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-2332" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2333" style="font-family: MathJax_Main; padding-left: 0.179em;">∞</span><span class="mo" id="MathJax-Span-2334" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mi mathvariant="normal">∞</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-129">x\in (1,\infty)</script> and the second one for <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-130-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mo>&#x2212;</mo><mi mathvariant="normal">&#x221E;</mi><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2335" style="width: 4.335em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.516em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1003.4em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2336"><span class="mo" id="MathJax-Span-2337" style="font-family: MathJax_Main;">(</span><span class="mo" id="MathJax-Span-2338" style="font-family: MathJax_Main;">−</span><span class="mi" id="MathJax-Span-2339" style="font-family: MathJax_Main;">∞</span><span class="mo" id="MathJax-Span-2340" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-2341" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-2342" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mo>−</mo><mi mathvariant="normal">∞</mi><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-130">(-\infty,1)</script>.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">makesubs</span><span class="p">(</span><span class="s1">'(x-1)^4'</span><span class="p">,</span><span class="s1">'(1,oo)'</span><span class="p">))</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-131-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mi>a</mi><mo>+</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2343" style="width: 5.448em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.453em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1004.39em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2344"><span class="mi" id="MathJax-Span-2345" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2346" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-2347" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">a</span><span class="mo" id="MathJax-Span-2348" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2349" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mi>a</mi><mo>+</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-131">x\to a + 1</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-132-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2350" style="width: 1.174em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1000.94em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2351"><span class="msubsup" id="MathJax-Span-2352"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2353" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2354"><span class="mrow" id="MathJax-Span-2355"><span class="mn" id="MathJax-Span-2356" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-132">a^{4}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-133-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2357" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2358"><span class="mn" id="MathJax-Span-2359" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-133">1</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-134-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2360" style="width: 3.457em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.813em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1002.81em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2361"><span class="mn" id="MathJax-Span-2362" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-2363" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2364" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2365" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2366"><span class="mrow" id="MathJax-Span-2367"><span class="mn" id="MathJax-Span-2368" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-134"> 0 \le a^{4} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[15]:</div>
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<pre>0</pre>
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<div class="prompt input_prompt">In [16]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">makesubs</span><span class="p">(</span><span class="s1">'(x-1)^4'</span><span class="p">,</span><span class="s1">'(-oo,1)'</span><span class="p">))</span>
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</pre></div>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-135-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>&#x2212;</mo><mi>a</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2369" style="width: 5.448em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.453em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1004.45em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2370"><span class="mi" id="MathJax-Span-2371" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-2372" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-2373" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-2374" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-2375" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mn>1</mn><mo>−</mo><mi>a</mi></math></span></span><script type="math/tex" id="MathJax-Element-135">x\to 1 - a</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-136-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2376" style="width: 1.174em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1000.94em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2377"><span class="msubsup" id="MathJax-Span-2378"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2379" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2380"><span class="mrow" id="MathJax-Span-2381"><span class="mn" id="MathJax-Span-2382" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-136">a^{4}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-137-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2383" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2384"><span class="mn" id="MathJax-Span-2385" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-137">1</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-138-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2386" style="width: 3.457em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.813em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1002.81em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2387"><span class="mn" id="MathJax-Span-2388" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-2389" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2390" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2391" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2392"><span class="mrow" id="MathJax-Span-2393"><span class="mn" id="MathJax-Span-2394" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-138"> 0 \le a^{4} </script>
|
||
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|
||
|
||
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|
||
|
||
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||
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||
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||
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||
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||
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|
||
The sum of all inequalities gives us a proof of the inequality.
|
||
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|
||
|
||
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|
||
|
||
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|
||
|
||
<div class="prompt output_prompt">Out[16]:</div>
|
||
|
||
|
||
|
||
|
||
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|
||
<pre>0</pre>
|
||
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|
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||
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||
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|
||
<p>Now let's go to the problem 10</p>
|
||
<h4 id="Problem-10">Problem 10<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem-10">¶</a></h4><p>If <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-139-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>&gt;</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2395" style="width: 6.326em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.155em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1005.1em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2396"><span class="mi" id="MathJax-Span-2397" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2398" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2399" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-2400" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2401" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-2402" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2403" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2404" style="font-family: MathJax_Main; padding-left: 0.296em;">></span><span class="mn" id="MathJax-Span-2405" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>></mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-139">a,b,c,d>0</script>, prove that
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-140-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mi>a</mi><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow></mfrac><mo>+</mo><mfrac><mi>b</mi><mrow><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>c</mi><mrow><mi>d</mi><mo>+</mo><mi>a</mi></mrow></mfrac><mo>+</mo><mfrac><mi>d</mi><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac><mo>&#x2265;</mo><mn>2.</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2406" style="width: 19.734em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.162em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.647em, 1016.1em, 3.106em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2407"><span class="mfrac" id="MathJax-Span-2408"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-2409" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.11em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.051em;"><span class="mrow" id="MathJax-Span-2410"><span class="mi" id="MathJax-Span-2411" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2412" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2413" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.23em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.228em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2414" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2415" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2416" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-2417"><span class="mi" id="MathJax-Span-2418" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2419" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2420" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2421" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2422" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.403em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2423" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.29em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.168em;"><span class="mrow" id="MathJax-Span-2424"><span class="mi" id="MathJax-Span-2425" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2426" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2427" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.4em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.403em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2428" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2429" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2430" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-2431"><span class="mi" id="MathJax-Span-2432" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2433" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2434" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2435" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mn" id="MathJax-Span-2436" style="font-family: MathJax_Main; padding-left: 0.296em;">2.</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.996em; border-left: 0px solid; width: 0px; height: 2.789em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mfrac><mi>a</mi><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow></mfrac><mo>+</mo><mfrac><mi>b</mi><mrow><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>c</mi><mrow><mi>d</mi><mo>+</mo><mi>a</mi></mrow></mfrac><mo>+</mo><mfrac><mi>d</mi><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac><mo>≥</mo><mn>2.</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-140">\frac a{b+c}+\frac b{c+d}+ \frac c{d+a}+ \frac d{a+b}\geq 2.</script></p>
|
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<p>Let's try a simple approach.</p>
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<div class="cell border-box-sizing code_cell rendered">
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<div class="prompt input_prompt">In [17]:</div>
|
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">formula</span><span class="o">=</span><span class="n">cyclize</span><span class="p">(</span><span class="s1">'a/(b+c)'</span><span class="p">,</span><span class="n">variables</span><span class="o">=</span><span class="s1">'a,b,c,d'</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span>
|
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<span class="n">formula</span>
|
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</pre></div>
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||
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|
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<div class="prompt output_prompt">Out[17]:</div>
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<div class="output_latex output_subarea output_execute_result">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-141-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>a</mi><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow></mfrac><mo>+</mo><mfrac><mi>b</mi><mrow><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>c</mi><mrow><mi>a</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>d</mi><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac><mo>&#x2212;</mo><mn>2</mn></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2437" style="width: 19.324em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.811em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.647em, 1015.75em, 3.106em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2438"><span class="mstyle" id="MathJax-Span-2439"><span class="mrow" id="MathJax-Span-2440"><span class="mfrac" id="MathJax-Span-2441"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-2442" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.11em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.051em;"><span class="mrow" id="MathJax-Span-2443"><span class="mi" id="MathJax-Span-2444" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2445" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2446" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.23em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.228em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2447" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2448" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2449" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-2450"><span class="mi" id="MathJax-Span-2451" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2452" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2453" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2454" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2455" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.403em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2456" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.29em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.168em;"><span class="mrow" id="MathJax-Span-2457"><span class="mi" id="MathJax-Span-2458" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2459" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2460" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.4em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.403em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2461" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-2462" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-2463" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -3.276em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-2464"><span class="mi" id="MathJax-Span-2465" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2466" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2467" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-2468" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2469" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.996em; border-left: 0px solid; width: 0px; height: 2.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>a</mi><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow></mfrac><mo>+</mo><mfrac><mi>b</mi><mrow><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>c</mi><mrow><mi>a</mi><mo>+</mo><mi>d</mi></mrow></mfrac><mo>+</mo><mfrac><mi>d</mi><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac><mo>−</mo><mn>2</mn></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-141">\displaystyle \frac{a}{b + c} + \frac{b}{c + d} + \frac{c}{a + d} + \frac{d}{a + b} - 2</script>
|
||
</div>
|
||
|
||
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|
||
|
||
</div>
|
||
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|
||
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||
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|
||
<div class="cell border-box-sizing code_cell rendered">
|
||
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|
||
<div class="prompt input_prompt">In [18]:</div>
|
||
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|
||
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|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="n">formula</span><span class="p">)</span>
|
||
</pre></div>
|
||
|
||
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|
||
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|
||
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|
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|
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|
||
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|
||
numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-142-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>d</mi><mo>&#x2212;</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>&#x2212;</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>&#x2212;</mo><mi>a</mi><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mi>a</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>&#x2212;</mo><mi>b</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2470" style="width: 68.387em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1056.03em, 5.565em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-2471"><span style="display: inline-block; position: relative; width: 56.033em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1056.03em, 4.218em, -999.997em); top: -3.978em; left: 0em;"><span class="msubsup" id="MathJax-Span-2472"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2473" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2474"><span class="mrow" id="MathJax-Span-2475"><span class="mn" id="MathJax-Span-2476" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2477" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2478" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2479" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2480" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2481"><span class="mrow" id="MathJax-Span-2482"><span class="mn" id="MathJax-Span-2483" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2484" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2485" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2486" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2487" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2488"><span class="mrow" id="MathJax-Span-2489"><span class="mn" id="MathJax-Span-2490" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2491"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2492" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2493"><span class="mrow" id="MathJax-Span-2494"><span class="mn" id="MathJax-Span-2495" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2496" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-2497" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2498" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2499"><span class="mrow" id="MathJax-Span-2500"><span class="mn" id="MathJax-Span-2501" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2502" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2503" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2504" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2505" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2506"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2507" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2508"><span class="mrow" id="MathJax-Span-2509"><span class="mn" id="MathJax-Span-2510" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2511"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2512" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2513"><span class="mrow" id="MathJax-Span-2514"><span class="mn" id="MathJax-Span-2515" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2516" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-2517" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2518" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2519"><span class="mrow" id="MathJax-Span-2520"><span class="mn" id="MathJax-Span-2521" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2522" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-2523" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2524" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2525" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2526" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2527"><span class="mrow" id="MathJax-Span-2528"><span class="mn" id="MathJax-Span-2529" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2530"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2531" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2532"><span class="mrow" id="MathJax-Span-2533"><span class="mn" id="MathJax-Span-2534" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2535" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2536" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2537"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2538" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2539"><span class="mrow" id="MathJax-Span-2540"><span class="mn" id="MathJax-Span-2541" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2542" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-2543" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2544"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2545" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2546"><span class="mrow" id="MathJax-Span-2547"><span class="mn" id="MathJax-Span-2548" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2549" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2550" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-2551" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2552"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2553" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2554"><span class="mrow" id="MathJax-Span-2555"><span class="mn" id="MathJax-Span-2556" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2557" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2558" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-2559" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2560" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-2561"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2562" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2563"><span class="mrow" id="MathJax-Span-2564"><span class="mn" id="MathJax-Span-2565" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2566" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2567" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2568"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2569" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2570"><span class="mrow" id="MathJax-Span-2571"><span class="mn" id="MathJax-Span-2572" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2573" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-2574" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2575" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-2576"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2577" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2578"><span class="mrow" id="MathJax-Span-2579"><span class="mn" id="MathJax-Span-2580" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2581" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2582" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2583" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2584"><span class="mrow" id="MathJax-Span-2585"><span class="mn" id="MathJax-Span-2586" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2587" style="font-family: MathJax_Math; 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position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2595" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2596"><span class="mrow" id="MathJax-Span-2597"><span class="mn" id="MathJax-Span-2598" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2599" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-2600" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2601"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2602" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2603"><span class="mrow" id="MathJax-Span-2604"><span class="mn" id="MathJax-Span-2605" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2606"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2607" style="font-family: MathJax_Math; 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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-143-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>c</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>d</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>a</mi><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mo>+</mo><mi>a</mi><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>a</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>b</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2659" style="width: 56.443em; display: inline-block;"><span style="display: inline-block; position: relative; width: 46.256em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1046.26em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2660"><span class="msubsup" id="MathJax-Span-2661"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2662" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2663"><span class="mrow" id="MathJax-Span-2664"><span class="mn" id="MathJax-Span-2665" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2666" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2667" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2668" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2669" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2670" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2671"><span class="mrow" id="MathJax-Span-2672"><span class="mn" id="MathJax-Span-2673" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2674" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2675" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2676" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2677" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2678" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2679"><span class="mrow" id="MathJax-Span-2680"><span class="mn" id="MathJax-Span-2681" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2682"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2683" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2684"><span class="mrow" id="MathJax-Span-2685"><span class="mn" id="MathJax-Span-2686" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2687" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2688" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2689" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2690"><span class="mrow" id="MathJax-Span-2691"><span class="mn" id="MathJax-Span-2692" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2693" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-2694" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2695" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2696" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2697"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2698" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2699"><span class="mrow" id="MathJax-Span-2700"><span class="mn" id="MathJax-Span-2701" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2702" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2703" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2704" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2705"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2706" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2707"><span class="mrow" id="MathJax-Span-2708"><span class="mn" id="MathJax-Span-2709" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2710" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2711" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2712" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2713" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-2714"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2715" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2716"><span class="mrow" id="MathJax-Span-2717"><span class="mn" id="MathJax-Span-2718" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2719" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2720" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-2721" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-2722" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2723" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-2724" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2725" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2726" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2727" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-2728"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2729" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2730"><span class="mrow" id="MathJax-Span-2731"><span class="mn" id="MathJax-Span-2732" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2733" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2734" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2735"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2736" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2737"><span class="mrow" id="MathJax-Span-2738"><span class="mn" id="MathJax-Span-2739" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2740" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2741" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2742" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2743" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-2744"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2745" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2746"><span class="mrow" id="MathJax-Span-2747"><span class="mn" id="MathJax-Span-2748" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2749" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2750" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2751" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2752"><span class="mrow" id="MathJax-Span-2753"><span class="mn" id="MathJax-Span-2754" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2755" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-2756" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2757" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2758" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2759" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2760"><span class="mrow" id="MathJax-Span-2761"><span class="mn" id="MathJax-Span-2762" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2763"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2764" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2765"><span class="mrow" id="MathJax-Span-2766"><span class="mn" id="MathJax-Span-2767" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2768" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2769" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="msubsup" id="MathJax-Span-2770"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2771" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2772"><span class="mrow" id="MathJax-Span-2773"><span class="mn" id="MathJax-Span-2774" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2775" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2776" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2777" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-2778" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-2779"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2780" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2781"><span class="mrow" id="MathJax-Span-2782"><span class="mn" id="MathJax-Span-2783" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>c</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>d</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>a</mi><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mo>+</mo><mi>a</mi><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>a</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>b</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-143">a^{2} b c + a^{2} b d + a^{2} c^{2} + a^{2} c d + a b^{2} c + a b^{2} d + a b c^{2} + 2 a b c d + a b d^{2} + a c^{2} d + a c d^{2} + b^{2} c d + b^{2} d^{2} + b c^{2} d + b c d^{2}</script>
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display: inline-block; min-width: 68.504em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.93em, 1056.15em, 5.682em, -999.997em); top: -3.978em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-2785"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1056.15em, 4.277em, -999.997em); top: -3.978em; left: 50%; margin-left: -28.1em;"><span class="msubsup" id="MathJax-Span-2786"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2787" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2788"><span class="mrow" id="MathJax-Span-2789"><span class="mn" id="MathJax-Span-2790" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2791" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-2792" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2793" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2794" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2795"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2796" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2797"><span class="mrow" id="MathJax-Span-2798"><span class="mn" id="MathJax-Span-2799" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2800"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2801" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2802"><span class="mrow" id="MathJax-Span-2803"><span class="mn" id="MathJax-Span-2804" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2805" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2806" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2807" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2808"><span class="mrow" id="MathJax-Span-2809"><span class="mn" id="MathJax-Span-2810" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2811" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-2812" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2813" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2814" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2815"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2816" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2817"><span class="mrow" id="MathJax-Span-2818"><span class="mn" id="MathJax-Span-2819" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2820" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2821" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2822" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2823"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2824" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2825"><span class="mrow" id="MathJax-Span-2826"><span class="mn" id="MathJax-Span-2827" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2828" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2829" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2830" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2831" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-2832"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2833" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2834"><span class="mrow" id="MathJax-Span-2835"><span class="mn" id="MathJax-Span-2836" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2837" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2838" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="mi" id="MathJax-Span-2839" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-2840"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2841" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2842"><span class="mrow" id="MathJax-Span-2843"><span class="mn" id="MathJax-Span-2844" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2845" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-2846" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-2847"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2848" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2849"><span class="mrow" id="MathJax-Span-2850"><span class="mn" id="MathJax-Span-2851" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2852"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2853" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2854"><span class="mrow" id="MathJax-Span-2855"><span class="mn" id="MathJax-Span-2856" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2857" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2858" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="msubsup" id="MathJax-Span-2859"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2860" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2861"><span class="mrow" id="MathJax-Span-2862"><span class="mn" id="MathJax-Span-2863" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2864" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2865" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2866" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mi" id="MathJax-Span-2867" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-2868"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2869" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2870"><span class="mrow" id="MathJax-Span-2871"><span class="mn" id="MathJax-Span-2872" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2873" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-2874" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2875" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2876"><span class="mrow" id="MathJax-Span-2877"><span class="mn" id="MathJax-Span-2878" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2879" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2880" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2881" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2882" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2883"><span class="mrow" id="MathJax-Span-2884"><span class="mn" id="MathJax-Span-2885" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2886" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2887" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2888" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2889" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2890"><span class="mrow" id="MathJax-Span-2891"><span class="mn" id="MathJax-Span-2892" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2893"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2894" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2895"><span class="mrow" id="MathJax-Span-2896"><span class="mn" id="MathJax-Span-2897" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2898" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2899" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2900" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-2901"><span class="mrow" id="MathJax-Span-2902"><span class="mn" id="MathJax-Span-2903" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2904"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2905" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2906"><span class="mrow" id="MathJax-Span-2907"><span class="mn" id="MathJax-Span-2908" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2909" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2910" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2911"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2912" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2913"><span class="mrow" id="MathJax-Span-2914"><span class="mn" id="MathJax-Span-2915" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2916" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2917" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span><span class="msubsup" id="MathJax-Span-2918"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2919" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2920"><span class="mrow" id="MathJax-Span-2921"><span class="mn" id="MathJax-Span-2922" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2923" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2924" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2925" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2926"><span class="mrow" id="MathJax-Span-2927"><span class="mn" id="MathJax-Span-2928" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-2929" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2930" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2931" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2932" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2933"><span class="mrow" id="MathJax-Span-2934"><span class="mn" id="MathJax-Span-2935" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2936"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2937" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2938"><span class="mrow" id="MathJax-Span-2939"><span class="mn" id="MathJax-Span-2940" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2941" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2942" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="msubsup" id="MathJax-Span-2943"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2944" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2945"><span class="mrow" id="MathJax-Span-2946"><span class="mn" id="MathJax-Span-2947" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1008.26em, 4.218em, -999.997em); top: -2.515em; left: 50%; margin-left: -4.095em;"><span class="mo" id="MathJax-Span-2948" style="font-family: MathJax_Main;">+</span><span class="mi" id="MathJax-Span-2949" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="msubsup" id="MathJax-Span-2950"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2951" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2952"><span class="mrow" id="MathJax-Span-2953"><span class="mn" id="MathJax-Span-2954" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2955" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-2956" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2957" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-2958"><span class="mrow" id="MathJax-Span-2959"><span class="mn" id="MathJax-Span-2960" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-2961"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2962" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2963"><span class="mrow" id="MathJax-Span-2964"><span class="mn" id="MathJax-Span-2965" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-2966" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-2967" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-2968"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-2969" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-2970"><span class="mrow" id="MathJax-Span-2971"><span class="mn" id="MathJax-Span-2972" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.925em; border-left: 0px solid; width: 0px; height: 3.075em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>b</mi><mi>d</mi><mo>+</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mi>d</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>a</mi><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mo>+</mo><mi>b</mi><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-144"> a^{2} b d+2 a^{2} c^{2}+a^{2} c d+a b^{2} c+a b^{2} d+a b c^{2}+a c d^{2}+2 b^{2} d^{2}+b c^{2} d+b c d^{2} \le a^{3} c+a^{3} d+a^{2} b^{2}+a^{2} d^{2}+a b^{3}+a c^{3}+b^{3} d+b^{2} c^{2}+b c^{3}+b d^{3}+c^{2} d^{2}+c d^{3} </script>
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<pre>2</pre>
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<p>This problem, like the previous one, can be solved by splitting the domain of variables to several subdomains. But we can also use the symmetry of this inequality. For example, without loss of generality we can assume that <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-145-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2973" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.35em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2974"><span class="mi" id="MathJax-Span-2975" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2976" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-2977" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-145">a\ge c</script> and <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-146-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>&#x2265;</mo><mi>d</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2978" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1002.35em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2979"><span class="mi" id="MathJax-Span-2980" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2981" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-2982" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>≥</mo><mi>d</mi></math></span></span><script type="math/tex" id="MathJax-Element-146">b\ge d</script>, so <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-147-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2208;</mo><mo stretchy="false">[</mo><mi>c</mi><mo>,</mo><mi mathvariant="normal">&#x221E;</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2983" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.22em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2984"><span class="mi" id="MathJax-Span-2985" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-2986" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-2987" style="font-family: MathJax_Main; padding-left: 0.296em;">[</span><span class="mi" id="MathJax-Span-2988" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-2989" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2990" style="font-family: MathJax_Main; padding-left: 0.179em;">∞</span><span class="mo" id="MathJax-Span-2991" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>∈</mo><mo stretchy="false">[</mo><mi>c</mi><mo>,</mo><mi mathvariant="normal">∞</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-147">a\in [c,\infty)</script>, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-148-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>&#x2208;</mo><mo stretchy="false">[</mo><mi>d</mi><mo>,</mo><mi mathvariant="normal">&#x221E;</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-2992" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.22em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-2993"><span class="mi" id="MathJax-Span-2994" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-2995" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-2996" style="font-family: MathJax_Main; padding-left: 0.296em;">[</span><span class="mi" id="MathJax-Span-2997" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-2998" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-2999" style="font-family: MathJax_Main; padding-left: 0.179em;">∞</span><span class="mo" id="MathJax-Span-3000" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>∈</mo><mo stretchy="false">[</mo><mi>d</mi><mo>,</mo><mi mathvariant="normal">∞</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-148">b\in [d,\infty)</script>.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[c,oo],[d,oo]'</span><span class="p">))</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-149-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mi>c</mi><mo>+</mo><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3001" style="width: 5.214em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.277em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.408em, 1004.22em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3002"><span class="mi" id="MathJax-Span-3003" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-3004" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-3005" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-3006" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3007" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mi>c</mi><mo>+</mo><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-149">a\to c + e</script>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-150-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mi>d</mi><mo>+</mo><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3008" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.34em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3009"><span class="mi" id="MathJax-Span-3010" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-3011" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-3012" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-3013" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3014" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mi>d</mi><mo>+</mo><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-150">b\to d + f</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-151-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3015" style="width: 63.645em; display: inline-block;"><span style="display: inline-block; position: relative; width: 52.169em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1052.17em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3016"><span class="msubsup" id="MathJax-Span-3017"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3018" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3019"><span class="mrow" id="MathJax-Span-3020"><span class="mn" id="MathJax-Span-3021" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3022"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3023" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3024"><span class="mrow" id="MathJax-Span-3025"><span class="mn" id="MathJax-Span-3026" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3027" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="msubsup" id="MathJax-Span-3028" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3029" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3030"><span class="mrow" id="MathJax-Span-3031"><span class="mn" id="MathJax-Span-3032" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3033" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3034" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3035" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3036" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3037" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3038"><span class="mrow" id="MathJax-Span-3039"><span class="mn" id="MathJax-Span-3040" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3041"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3042" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3043"><span class="mrow" id="MathJax-Span-3044"><span class="mn" id="MathJax-Span-3045" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3046" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3047" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3048" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3049" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3050"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3051" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3052"><span class="mrow" id="MathJax-Span-3053"><span class="mn" id="MathJax-Span-3054" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3055" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3056" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3057" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3058" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3059"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3060" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3061"><span class="mrow" id="MathJax-Span-3062"><span class="mn" id="MathJax-Span-3063" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3064" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3065" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3066"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3067" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3068"><span class="mrow" id="MathJax-Span-3069"><span class="mn" id="MathJax-Span-3070" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3071" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3072" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mi" id="MathJax-Span-3073" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3074"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3075" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3076"><span class="mrow" id="MathJax-Span-3077"><span class="mn" id="MathJax-Span-3078" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3079" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3080" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3081"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3082" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3083"><span class="mrow" id="MathJax-Span-3084"><span class="mn" id="MathJax-Span-3085" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3086" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3087" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3088" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3089"><span class="mrow" id="MathJax-Span-3090"><span class="mn" id="MathJax-Span-3091" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3092"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3093" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3094"><span class="mrow" id="MathJax-Span-3095"><span class="mn" id="MathJax-Span-3096" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3097" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3098" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3099" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3100"><span class="mrow" id="MathJax-Span-3101"><span class="mn" id="MathJax-Span-3102" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3103" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3104" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3105" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3106" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3107" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3108"><span class="mrow" id="MathJax-Span-3109"><span class="mn" id="MathJax-Span-3110" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3111"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3112" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3113"><span class="mrow" id="MathJax-Span-3114"><span class="mn" id="MathJax-Span-3115" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3116" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3117" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3118"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3119" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3120"><span class="mrow" id="MathJax-Span-3121"><span class="mn" id="MathJax-Span-3122" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3123" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3124" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3125"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3126" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3127"><span class="mrow" id="MathJax-Span-3128"><span class="mn" id="MathJax-Span-3129" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3130" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3131" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3132" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3133" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3134" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3135"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3136" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3137"><span class="mrow" id="MathJax-Span-3138"><span class="mn" id="MathJax-Span-3139" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3140" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3141" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3142"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3143" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3144"><span class="mrow" id="MathJax-Span-3145"><span class="mn" id="MathJax-Span-3146" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3147" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3148" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3149" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3150"><span class="mrow" id="MathJax-Span-3151"><span class="mn" id="MathJax-Span-3152" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3153"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3154" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3155"><span class="mrow" id="MathJax-Span-3156"><span class="mn" id="MathJax-Span-3157" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3158" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3159" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span><span class="msubsup" id="MathJax-Span-3160"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3161" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3162"><span class="mrow" id="MathJax-Span-3163"><span class="mn" id="MathJax-Span-3164" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-151">c^{2} e^{2} - c^{2} e f + c^{2} f^{2} + 2 c d e^{2} + 2 c d f^{2} + c e^{3} + c e f^{2} + c f^{3} + d^{2} e^{2} + d^{2} e f + d^{2} f^{2} + d e^{3} + d e^{2} f + 2 d e f^{2} + d f^{3} + e^{2} f^{2} + e f^{3}</script>
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display: inline-block;"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1055.74em, 5.858em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-3166"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1055.74em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="msubsup" id="MathJax-Span-3167"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3168" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3169"><span class="mrow" id="MathJax-Span-3170"><span class="mn" id="MathJax-Span-3171" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3172" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3173" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-3174"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3175" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3176"><span class="mrow" id="MathJax-Span-3177"><span class="mn" id="MathJax-Span-3178" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3179" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-3180" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3181" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3182"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3183" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3184"><span class="mrow" id="MathJax-Span-3185"><span class="mn" id="MathJax-Span-3186" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3187" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3188" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3189" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3190"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3191" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3192"><span class="mrow" id="MathJax-Span-3193"><span class="mn" id="MathJax-Span-3194" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3195" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3196" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3197" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3198"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3199" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3200"><span class="mrow" id="MathJax-Span-3201"><span class="mn" id="MathJax-Span-3202" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3203"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3204" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3205"><span class="mrow" id="MathJax-Span-3206"><span class="mn" id="MathJax-Span-3207" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3208" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3209" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3210"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3211" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3212"><span class="mrow" id="MathJax-Span-3213"><span class="mn" id="MathJax-Span-3214" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3215" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3216" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3217" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3218" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3219"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3220" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3221"><span class="mrow" id="MathJax-Span-3222"><span class="mn" id="MathJax-Span-3223" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3224" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3225" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3226" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3227" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3228" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3229"><span class="mrow" id="MathJax-Span-3230"><span class="mn" id="MathJax-Span-3231" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3232"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3233" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3234"><span class="mrow" id="MathJax-Span-3235"><span class="mn" id="MathJax-Span-3236" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3237" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3238" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-3239"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3240" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3241"><span class="mrow" id="MathJax-Span-3242"><span class="mn" id="MathJax-Span-3243" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3244" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3245" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3246" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3247" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3248" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3249"><span class="mrow" id="MathJax-Span-3250"><span class="mn" id="MathJax-Span-3251" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3252"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3253" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3254"><span class="mrow" id="MathJax-Span-3255"><span class="mn" id="MathJax-Span-3256" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3257" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3258" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-3259" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3260"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3261" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3262"><span class="mrow" id="MathJax-Span-3263"><span class="mn" id="MathJax-Span-3264" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3265" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3266" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3267" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3268"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3269" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3270"><span class="mrow" id="MathJax-Span-3271"><span class="mn" id="MathJax-Span-3272" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3273" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3274" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3275" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3276" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3277"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3278" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3279"><span class="mrow" id="MathJax-Span-3280"><span class="mn" id="MathJax-Span-3281" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3282" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3283" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3284" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3285" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3286" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3287"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3288" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3289"><span class="mrow" id="MathJax-Span-3290"><span class="mn" id="MathJax-Span-3291" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3292" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3293" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3294" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3295" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3296" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3297" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3298" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3299" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3300" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3301" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3302"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3303" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3304"><span class="mrow" id="MathJax-Span-3305"><span class="mn" id="MathJax-Span-3306" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3307" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3308" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3309"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3310" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3311"><span class="mrow" id="MathJax-Span-3312"><span class="mn" id="MathJax-Span-3313" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3314" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1028.46em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-3315" style="font-family: MathJax_Main;">+</span><span class="mi" id="MathJax-Span-3316" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mi" id="MathJax-Span-3317" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3318"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3319" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3320"><span class="mrow" id="MathJax-Span-3321"><span class="mn" id="MathJax-Span-3322" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3323" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3324" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3325" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3326"><span class="mrow" id="MathJax-Span-3327"><span class="mn" id="MathJax-Span-3328" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3329" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3330" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3331"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3332" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3333"><span class="mrow" id="MathJax-Span-3334"><span class="mn" id="MathJax-Span-3335" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3336" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3337" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3338" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3339"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3340" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3341"><span class="mrow" id="MathJax-Span-3342"><span class="mn" id="MathJax-Span-3343" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3344" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3345" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3346" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3347" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3348"><span class="mrow" id="MathJax-Span-3349"><span class="mn" id="MathJax-Span-3350" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3351"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3352" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3353"><span class="mrow" id="MathJax-Span-3354"><span class="mn" id="MathJax-Span-3355" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3356" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3357" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-3358"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3359" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3360"><span class="mrow" id="MathJax-Span-3361"><span class="mn" id="MathJax-Span-3362" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3363" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3364" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3365" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3366" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3367" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3368"><span class="mrow" id="MathJax-Span-3369"><span class="mn" id="MathJax-Span-3370" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3371"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3372" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3373"><span class="mrow" id="MathJax-Span-3374"><span class="mn" id="MathJax-Span-3375" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3376" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3377" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3378"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3379" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3380"><span class="mrow" id="MathJax-Span-3381"><span class="mn" id="MathJax-Span-3382" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3383" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3384" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3385" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3386" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3387"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3388" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3389"><span class="mrow" id="MathJax-Span-3390"><span class="mn" id="MathJax-Span-3391" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.139em; border-left: 0px solid; width: 0px; height: 3.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-152">c^{4} + 4 c^{3} d + 2 c^{3} e + 2 c^{3} f + 6 c^{2} d^{2} + 6 c^{2} d e + 6 c^{2} d f + c^{2} e^{2} + 3 c^{2} e f + c^{2} f^{2} + 4 c d^{3} + 6 c d^{2} e + 6 c d^{2} f + 2 c d e^{2} + 6 c d e f + 2 c d f^{2} + c e^{2} f + c e f^{2} + d^{4} + 2 d^{3} e + 2 d^{3} f + d^{2} e^{2} + 3 d^{2} e f + d^{2} f^{2} + d e^{2} f + d e f^{2}</script>
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<div class="output_area">
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status: 0
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<div class="output_area">
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<div class="prompt"></div>
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From weighted AM-GM inequality:
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<div class="output_area">
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Program couldn't find a solution with integer coefficients. Try to multiple the formula by some integer and run this function again.
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display: inline-block;"><span style="display: inline-block; position: relative; width: 52.286em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1052.29em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3393"><span class="msubsup" id="MathJax-Span-3394"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3395" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3396"><span class="mrow" id="MathJax-Span-3397"><span class="mn" id="MathJax-Span-3398" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3399" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3400" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3401" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-3402" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3403" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3404"><span class="mrow" id="MathJax-Span-3405"><span class="mn" id="MathJax-Span-3406" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3407"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3408" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3409"><span class="mrow" id="MathJax-Span-3410"><span class="mn" id="MathJax-Span-3411" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3412" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3413" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3414" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3415"><span class="mrow" id="MathJax-Span-3416"><span class="mn" id="MathJax-Span-3417" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3418"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3419" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3420"><span class="mrow" id="MathJax-Span-3421"><span class="mn" id="MathJax-Span-3422" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3423" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3424" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3425" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3426" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3427"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3428" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3429"><span class="mrow" id="MathJax-Span-3430"><span class="mn" id="MathJax-Span-3431" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3432" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3433" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3434" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3435" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3436"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3437" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3438"><span class="mrow" id="MathJax-Span-3439"><span class="mn" id="MathJax-Span-3440" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3441" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3442" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3443"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3444" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3445"><span class="mrow" id="MathJax-Span-3446"><span class="mn" id="MathJax-Span-3447" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3448" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3449" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mi" id="MathJax-Span-3450" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3451"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3452" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3453"><span class="mrow" id="MathJax-Span-3454"><span class="mn" id="MathJax-Span-3455" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3456" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3457" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3458"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3459" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3460"><span class="mrow" id="MathJax-Span-3461"><span class="mn" id="MathJax-Span-3462" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3463" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3464" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3465" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3466"><span class="mrow" id="MathJax-Span-3467"><span class="mn" id="MathJax-Span-3468" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3469"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3470" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3471"><span class="mrow" id="MathJax-Span-3472"><span class="mn" id="MathJax-Span-3473" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3474" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3475" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3476" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3477"><span class="mrow" id="MathJax-Span-3478"><span class="mn" id="MathJax-Span-3479" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3480" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3481" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3482" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3483" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3484" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3485"><span class="mrow" id="MathJax-Span-3486"><span class="mn" id="MathJax-Span-3487" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3488"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3489" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3490"><span class="mrow" id="MathJax-Span-3491"><span class="mn" id="MathJax-Span-3492" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3493" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3494" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3495"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3496" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3497"><span class="mrow" id="MathJax-Span-3498"><span class="mn" id="MathJax-Span-3499" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3500" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3501" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3502"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3503" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3504"><span class="mrow" id="MathJax-Span-3505"><span class="mn" id="MathJax-Span-3506" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3507" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3508" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3509" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3510" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3511" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3512"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3513" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3514"><span class="mrow" id="MathJax-Span-3515"><span class="mn" id="MathJax-Span-3516" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3517" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3518" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3519"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3520" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3521"><span class="mrow" id="MathJax-Span-3522"><span class="mn" id="MathJax-Span-3523" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3524" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3525" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3526" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3527"><span class="mrow" id="MathJax-Span-3528"><span class="mn" id="MathJax-Span-3529" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3530"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3531" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3532"><span class="mrow" id="MathJax-Span-3533"><span class="mn" id="MathJax-Span-3534" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3535" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3536" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span><span class="msubsup" id="MathJax-Span-3537"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3538" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3539"><span class="mrow" id="MathJax-Span-3540"><span class="mn" id="MathJax-Span-3541" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-153"> c^{2} e f \le c^{2} e^{2}+c^{2} f^{2}+2 c d e^{2}+2 c d f^{2}+c e^{3}+c e f^{2}+c f^{3}+d^{2} e^{2}+d^{2} e f+d^{2} f^{2}+d e^{3}+d e^{2} f+2 d e f^{2}+d f^{3}+e^{2} f^{2}+e f^{3} </script>
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<div class="prompt output_prompt">Out[19]:</div>
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<pre>0</pre>
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<div class="prompt input_prompt">In [20]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[c,oo],[d,oo]'</span><span class="p">)</span><span class="o">*</span><span class="mi">2</span><span class="p">)</span>
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</pre></div>
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<div class="output_wrapper">
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-154-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mi>c</mi><mo>+</mo><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3542" style="width: 5.214em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.277em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.408em, 1004.22em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3543"><span class="mi" id="MathJax-Span-3544" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-3545" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-3546" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-3547" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3548" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mi>c</mi><mo>+</mo><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-154">a\to c + e</script>
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<div class="output_area">
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-155-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mi>d</mi><mo>+</mo><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3549" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.34em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3550"><span class="mi" id="MathJax-Span-3551" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-3552" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-3553" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-3554" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3555" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mi>d</mi><mo>+</mo><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-155">b\to d + f</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-156-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>4</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3556" style="width: 68.094em; display: inline-block;"><span style="display: inline-block; position: relative; width: 55.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1055.8em, 5.858em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-3557"><span style="display: inline-block; position: relative; width: 55.799em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1055.8em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-3558" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-3559"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3560" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3561"><span class="mrow" id="MathJax-Span-3562"><span class="mn" id="MathJax-Span-3563" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3564"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3565" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3566"><span class="mrow" id="MathJax-Span-3567"><span class="mn" id="MathJax-Span-3568" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3569" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-3570" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3571"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3572" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3573"><span class="mrow" id="MathJax-Span-3574"><span class="mn" id="MathJax-Span-3575" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3576" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3577" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3578" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3579" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3580"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3581" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3582"><span class="mrow" id="MathJax-Span-3583"><span class="mn" id="MathJax-Span-3584" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3585"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3586" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3587"><span class="mrow" id="MathJax-Span-3588"><span class="mn" id="MathJax-Span-3589" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3590" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3591" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-3592" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3593" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3594"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3595" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3596"><span class="mrow" id="MathJax-Span-3597"><span class="mn" id="MathJax-Span-3598" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3599" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3600" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-3601" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3602" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3603"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3604" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3605"><span class="mrow" id="MathJax-Span-3606"><span class="mn" id="MathJax-Span-3607" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3608" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3609" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3610" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3611"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3612" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3613"><span class="mrow" id="MathJax-Span-3614"><span class="mn" id="MathJax-Span-3615" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3616" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3617" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3618" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3619" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3620"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3621" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3622"><span class="mrow" id="MathJax-Span-3623"><span class="mn" id="MathJax-Span-3624" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3625" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3626" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3627" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3628"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3629" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3630"><span class="mrow" id="MathJax-Span-3631"><span class="mn" id="MathJax-Span-3632" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3633" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3634" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3635"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3636" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3637"><span class="mrow" id="MathJax-Span-3638"><span class="mn" id="MathJax-Span-3639" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3640"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3641" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3642"><span class="mrow" id="MathJax-Span-3643"><span class="mn" id="MathJax-Span-3644" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3645" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3646" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3647"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3648" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3649"><span class="mrow" id="MathJax-Span-3650"><span class="mn" id="MathJax-Span-3651" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3652" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3653" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3654" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3655" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3656"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3657" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3658"><span class="mrow" id="MathJax-Span-3659"><span class="mn" id="MathJax-Span-3660" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3661"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3662" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3663"><span class="mrow" id="MathJax-Span-3664"><span class="mn" id="MathJax-Span-3665" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3666" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3667" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3668" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3669"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3670" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3671"><span class="mrow" id="MathJax-Span-3672"><span class="mn" id="MathJax-Span-3673" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3674" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3675" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3676" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3677"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3678" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3679"><span class="mrow" id="MathJax-Span-3680"><span class="mn" id="MathJax-Span-3681" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3682" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3683" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3684" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-3685" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3686" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3687"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3688" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3689"><span class="mrow" id="MathJax-Span-3690"><span class="mn" id="MathJax-Span-3691" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3692" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3693" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3694" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3695"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3696" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3697"><span class="mrow" id="MathJax-Span-3698"><span class="mn" id="MathJax-Span-3699" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3700" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3701" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3702"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3703" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3704"><span class="mrow" id="MathJax-Span-3705"><span class="mn" id="MathJax-Span-3706" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3707"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3708" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3709"><span class="mrow" id="MathJax-Span-3710"><span class="mn" id="MathJax-Span-3711" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1003.05em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-3712" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-3713" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3714" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3715"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3716" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3717"><span class="mrow" id="MathJax-Span-3718"><span class="mn" id="MathJax-Span-3719" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.139em; border-left: 0px solid; width: 0px; height: 3.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>4</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-156">2 c^{2} e^{2} - 2 c^{2} e f + 2 c^{2} f^{2} + 4 c d e^{2} + 4 c d f^{2} + 2 c e^{3} + 2 c e f^{2} + 2 c f^{3} + 2 d^{2} e^{2} + 2 d^{2} e f + 2 d^{2} f^{2} + 2 d e^{3} + 2 d e^{2} f + 4 d e f^{2} + 2 d f^{3} + 2 e^{2} f^{2} + 2 e f^{3}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-157-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-3720" style="width: 68.036em; display: inline-block;"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1055.74em, 5.858em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-3721"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1055.74em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="msubsup" id="MathJax-Span-3722"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3723" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3724"><span class="mrow" id="MathJax-Span-3725"><span class="mn" id="MathJax-Span-3726" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3727" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3728" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-3729"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3730" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3731"><span class="mrow" id="MathJax-Span-3732"><span class="mn" id="MathJax-Span-3733" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3734" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-3735" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3736" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3737"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3738" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3739"><span class="mrow" id="MathJax-Span-3740"><span class="mn" id="MathJax-Span-3741" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3742" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3743" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3744" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3745"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3746" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3747"><span class="mrow" id="MathJax-Span-3748"><span class="mn" id="MathJax-Span-3749" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3750" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3751" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3752" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3753"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3754" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3755"><span class="mrow" id="MathJax-Span-3756"><span class="mn" id="MathJax-Span-3757" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3758"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3759" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3760"><span class="mrow" id="MathJax-Span-3761"><span class="mn" id="MathJax-Span-3762" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3763" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3764" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3765"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3766" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3767"><span class="mrow" id="MathJax-Span-3768"><span class="mn" id="MathJax-Span-3769" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3770" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3771" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3772" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3773" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-3774"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3775" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3776"><span class="mrow" id="MathJax-Span-3777"><span class="mn" id="MathJax-Span-3778" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3779" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3780" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3781" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3782" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3783" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3784"><span class="mrow" id="MathJax-Span-3785"><span class="mn" id="MathJax-Span-3786" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3787"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3788" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3789"><span class="mrow" id="MathJax-Span-3790"><span class="mn" id="MathJax-Span-3791" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3792" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3793" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-3794"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3795" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3796"><span class="mrow" id="MathJax-Span-3797"><span class="mn" id="MathJax-Span-3798" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3799" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3800" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3801" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3802" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3803" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3804"><span class="mrow" id="MathJax-Span-3805"><span class="mn" id="MathJax-Span-3806" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3807"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3808" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3809"><span class="mrow" id="MathJax-Span-3810"><span class="mn" id="MathJax-Span-3811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3812" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3813" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-3814" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3815"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3816" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3817"><span class="mrow" id="MathJax-Span-3818"><span class="mn" id="MathJax-Span-3819" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3820" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3821" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3822" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3823"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3824" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3825"><span class="mrow" id="MathJax-Span-3826"><span class="mn" id="MathJax-Span-3827" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3828" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3829" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3830" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3831" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-3832"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3833" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3834"><span class="mrow" id="MathJax-Span-3835"><span class="mn" id="MathJax-Span-3836" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3837" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3838" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3839" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3840" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3841" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3842"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3843" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3844"><span class="mrow" id="MathJax-Span-3845"><span class="mn" id="MathJax-Span-3846" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3847" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3848" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-3849" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3850" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3851" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3852" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3853" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3854" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-3855" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-3856" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3857"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3858" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3859"><span class="mrow" id="MathJax-Span-3860"><span class="mn" id="MathJax-Span-3861" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3862" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3863" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-3864"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3865" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3866"><span class="mrow" id="MathJax-Span-3867"><span class="mn" id="MathJax-Span-3868" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3869" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1028.46em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-3870" style="font-family: MathJax_Main;">+</span><span class="mi" id="MathJax-Span-3871" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="mi" id="MathJax-Span-3872" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3873"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3874" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3875"><span class="mrow" id="MathJax-Span-3876"><span class="mn" id="MathJax-Span-3877" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3878" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3879" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3880" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3881"><span class="mrow" id="MathJax-Span-3882"><span class="mn" id="MathJax-Span-3883" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3884" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3885" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3886"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3887" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3888"><span class="mrow" id="MathJax-Span-3889"><span class="mn" id="MathJax-Span-3890" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3891" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-3892" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3893" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-3894"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3895" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3896"><span class="mrow" id="MathJax-Span-3897"><span class="mn" id="MathJax-Span-3898" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3899" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3900" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3901" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3902" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3903"><span class="mrow" id="MathJax-Span-3904"><span class="mn" id="MathJax-Span-3905" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3906"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3907" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3908"><span class="mrow" id="MathJax-Span-3909"><span class="mn" id="MathJax-Span-3910" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3911" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-3912" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-3913"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3914" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3915"><span class="mrow" id="MathJax-Span-3916"><span class="mn" id="MathJax-Span-3917" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3918" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3919" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3920" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3921" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3922" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-3923"><span class="mrow" id="MathJax-Span-3924"><span class="mn" id="MathJax-Span-3925" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3926"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3927" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3928"><span class="mrow" id="MathJax-Span-3929"><span class="mn" id="MathJax-Span-3930" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3931" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3932" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-3933"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3934" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3935"><span class="mrow" id="MathJax-Span-3936"><span class="mn" id="MathJax-Span-3937" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3938" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3939" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-3940" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-3941" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-3942"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3943" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3944"><span class="mrow" id="MathJax-Span-3945"><span class="mn" id="MathJax-Span-3946" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.139em; border-left: 0px solid; width: 0px; height: 3.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-157">c^{4} + 4 c^{3} d + 2 c^{3} e + 2 c^{3} f + 6 c^{2} d^{2} + 6 c^{2} d e + 6 c^{2} d f + c^{2} e^{2} + 3 c^{2} e f + c^{2} f^{2} + 4 c d^{3} + 6 c d^{2} e + 6 c d^{2} f + 2 c d e^{2} + 6 c d e f + 2 c d f^{2} + c e^{2} f + c e f^{2} + d^{4} + 2 d^{3} e + 2 d^{3} f + d^{2} e^{2} + 3 d^{2} e f + d^{2} f^{2} + d e^{2} f + d e f^{2}</script>
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</div>
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</div>
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<div class="output_area">
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||
<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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status: 0
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||
</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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||
From weighted AM-GM inequality:
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</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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clip: rect(1.115em, 1008.73em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3948"><span class="mn" id="MathJax-Span-3949" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-3950"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3951" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3952"><span class="mrow" id="MathJax-Span-3953"><span class="mn" id="MathJax-Span-3954" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-3955" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-3956" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-3957" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-3958" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3959" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3960"><span class="mrow" id="MathJax-Span-3961"><span class="mn" id="MathJax-Span-3962" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3963"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3964" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3965"><span class="mrow" id="MathJax-Span-3966"><span class="mn" id="MathJax-Span-3967" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3968" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3969" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3970" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3971"><span class="mrow" id="MathJax-Span-3972"><span class="mn" id="MathJax-Span-3973" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3974"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3975" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-3976"><span class="mrow" id="MathJax-Span-3977"><span class="mn" id="MathJax-Span-3978" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-158">2 c^{2} e f \le c^{2} e^{2}+c^{2} f^{2}</script>
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display: inline-block;"><span style="display: inline-block; position: relative; width: 56.385em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1056.38em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-3980"><span class="mn" id="MathJax-Span-3981" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-3982" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-3983" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3984" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3985"><span class="mrow" id="MathJax-Span-3986"><span class="mn" id="MathJax-Span-3987" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3988"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3989" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-3990"><span class="mrow" id="MathJax-Span-3991"><span class="mn" id="MathJax-Span-3992" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-3993" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-3994" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-3995" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-3996"><span class="mrow" id="MathJax-Span-3997"><span class="mn" id="MathJax-Span-3998" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-3999"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4000" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4001"><span class="mrow" id="MathJax-Span-4002"><span class="mn" id="MathJax-Span-4003" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4004" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4005" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4006" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-4007" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4008"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4009" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4010"><span class="mrow" id="MathJax-Span-4011"><span class="mn" id="MathJax-Span-4012" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4013" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4014" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4015" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-4016" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4017"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4018" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4019"><span class="mrow" id="MathJax-Span-4020"><span class="mn" id="MathJax-Span-4021" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4022" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4023" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4024" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4025"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4026" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4027"><span class="mrow" id="MathJax-Span-4028"><span class="mn" id="MathJax-Span-4029" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4030" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4031" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4032" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-4033" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4034"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4035" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4036"><span class="mrow" id="MathJax-Span-4037"><span class="mn" id="MathJax-Span-4038" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4039" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4040" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4041" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4042"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4043" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4044"><span class="mrow" id="MathJax-Span-4045"><span class="mn" id="MathJax-Span-4046" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4047" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4048" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4049"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4050" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4051"><span class="mrow" id="MathJax-Span-4052"><span class="mn" id="MathJax-Span-4053" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4054"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4055" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4056"><span class="mrow" id="MathJax-Span-4057"><span class="mn" id="MathJax-Span-4058" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4059" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4060" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4061"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4062" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4063"><span class="mrow" id="MathJax-Span-4064"><span class="mn" id="MathJax-Span-4065" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4066" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4067" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4068" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4069" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4070"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4071" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4072"><span class="mrow" id="MathJax-Span-4073"><span class="mn" id="MathJax-Span-4074" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4075"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4076" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4077"><span class="mrow" id="MathJax-Span-4078"><span class="mn" id="MathJax-Span-4079" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4080" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4081" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4082" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4083"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4084" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4085"><span class="mrow" id="MathJax-Span-4086"><span class="mn" id="MathJax-Span-4087" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4088" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4089" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4090" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4091"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4092" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4093"><span class="mrow" id="MathJax-Span-4094"><span class="mn" id="MathJax-Span-4095" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4096" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4097" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4098" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4099" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4100" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4101"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4102" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4103"><span class="mrow" id="MathJax-Span-4104"><span class="mn" id="MathJax-Span-4105" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4106" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4107" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4108" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4109"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4110" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4111"><span class="mrow" id="MathJax-Span-4112"><span class="mn" id="MathJax-Span-4113" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4114" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4115" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4116"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4117" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4118"><span class="mrow" id="MathJax-Span-4119"><span class="mn" id="MathJax-Span-4120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4121"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4122" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4123"><span class="mrow" id="MathJax-Span-4124"><span class="mn" id="MathJax-Span-4125" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4126" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4127" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4128" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4129"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4130" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4131"><span class="mrow" id="MathJax-Span-4132"><span class="mn" id="MathJax-Span-4133" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>4</mn><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-159"> 0 \le c^{2} e^{2}+c^{2} f^{2}+4 c d e^{2}+4 c d f^{2}+2 c e^{3}+2 c e f^{2}+2 c f^{3}+2 d^{2} e^{2}+2 d^{2} e f+2 d^{2} f^{2}+2 d e^{3}+2 d e^{2} f+4 d e f^{2}+2 d f^{3}+2 e^{2} f^{2}+2 e f^{3} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<pre>0</pre>
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<p>It's a good idea to use intervals that are unbounded from one side (i.e. those which contain <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-160-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x00B1;</mo><mi mathvariant="normal">&#x221E;</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4134" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001.7em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-4135"><span class="mo" id="MathJax-Span-4136" style="font-family: MathJax_Main;">±</span><span class="mi" id="MathJax-Span-4137" style="font-family: MathJax_Main;">∞</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>±</mo><mi mathvariant="normal">∞</mi></math></span></span><script type="math/tex" id="MathJax-Element-160">\pm\infty</script>). In this problem we could assume that <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-161-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mi>c</mi><mo stretchy="false">]</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4138" style="width: 4.745em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.867em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1003.75em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-4139"><span class="mi" id="MathJax-Span-4140" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-4141" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-4142" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-4143" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-4144" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-4145" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-4146" style="font-family: MathJax_Main;">]</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mi>c</mi><mo stretchy="false">]</mo></math></span></span><script type="math/tex" id="MathJax-Element-161">a\in (0,c]</script>, <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-162-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>&#x2208;</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mi>d</mi><mo stretchy="false">]</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4147" style="width: 4.745em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.867em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1003.75em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-4148"><span class="mi" id="MathJax-Span-4149" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-4150" style="font-family: MathJax_Main; padding-left: 0.296em;">∈</span><span class="mo" id="MathJax-Span-4151" style="font-family: MathJax_Main; padding-left: 0.296em;">(</span><span class="mn" id="MathJax-Span-4152" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-4153" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-4154" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-4155" style="font-family: MathJax_Main;">]</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>∈</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mi>d</mi><mo stretchy="false">]</mo></math></span></span><script type="math/tex" id="MathJax-Element-162">b\in (0,d]</script> as well. But as you can see, in this case the proof is several times longer.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="n">prove</span><span class="p">(</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[0,c],[0,d]'</span><span class="p">)</span><span class="o">*</span><span class="mi">2</span><span class="p">)</span>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-163-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mi>c</mi><mo>&#x2212;</mo><mfrac><mi>c</mi><mrow><mi>e</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4156" style="width: 6.619em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.389em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1005.39em, 2.813em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-4157"><span class="mi" id="MathJax-Span-4158" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-4159" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-4160" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-4161" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mfrac" id="MathJax-Span-4162" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.516em, 1000.3em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mi" id="MathJax-Span-4163" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1001.17em, 4.218em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.641em;"><span class="mrow" id="MathJax-Span-4164"><span class="mi" id="MathJax-Span-4165" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-4166" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4167" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.35em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.639em; border-left: 0px solid; width: 0px; height: 1.575em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mi>c</mi><mo>−</mo><mfrac><mi>c</mi><mrow><mi>e</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-163">a\to c - \frac{c}{e + 1}</script>
|
||
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|
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||
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||
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-164-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mi>d</mi><mo>&#x2212;</mo><mfrac><mi>d</mi><mrow><mi>f</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4168" style="width: 6.677em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.448em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.057em, 1005.45em, 2.93em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-4169"><span class="mi" id="MathJax-Span-4170" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-4171" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-4172" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-4173" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mfrac" id="MathJax-Span-4174" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.35em, 4.16em, -999.997em); top: -4.388em; left: 50%; margin-left: -0.173em;"><span class="mi" id="MathJax-Span-4175" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.282em, 1001.23em, 4.277em, -999.997em); top: -3.569em; left: 50%; margin-left: -0.641em;"><span class="mrow" id="MathJax-Span-4176"><span class="mi" id="MathJax-Span-4177" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4178" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4179" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1001.41em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.408em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.782em; border-left: 0px solid; width: 0px; height: 1.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mi>d</mi><mo>−</mo><mfrac><mi>d</mi><mrow><mi>f</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></span></span><script type="math/tex" id="MathJax-Element-164">b\to d - \frac{d}{f + 1}</script>
|
||
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|
||
|
||
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|
||
|
||
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-165-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>&#x2212;</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>&#x2212;</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-4180" style="width: 67.684em; display: inline-block;"><span style="display: inline-block; position: relative; width: 55.448em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(5.506em, 1055.45em, 11.303em, -999.997em); top: -6.496em; left: 0em;"><span class="mrow" id="MathJax-Span-4181"><span style="display: inline-block; position: relative; width: 55.448em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1052.93em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-4182" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-4183"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4184" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4185"><span class="mrow" id="MathJax-Span-4186"><span class="mn" id="MathJax-Span-4187" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4188" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4189"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4190" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4191"><span class="mrow" id="MathJax-Span-4192"><span class="mn" id="MathJax-Span-4193" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4194" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4195" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4196"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4197" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4198"><span class="mrow" id="MathJax-Span-4199"><span class="mn" id="MathJax-Span-4200" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4201" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4202"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4203" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4204"><span class="mrow" id="MathJax-Span-4205"><span class="mn" id="MathJax-Span-4206" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4207" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4208" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4209"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4210" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4211"><span class="mrow" id="MathJax-Span-4212"><span class="mn" id="MathJax-Span-4213" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4214" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4215" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4216" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4217" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4218"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4219" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4220"><span class="mrow" id="MathJax-Span-4221"><span class="mn" id="MathJax-Span-4222" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4223" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-4224" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-4225" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4226"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4227" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4228"><span class="mrow" id="MathJax-Span-4229"><span class="mn" id="MathJax-Span-4230" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4231" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4232"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4233" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4234"><span class="mrow" id="MathJax-Span-4235"><span class="mn" id="MathJax-Span-4236" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4237"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4238" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4239"><span class="mrow" id="MathJax-Span-4240"><span class="mn" id="MathJax-Span-4241" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4242" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-4243" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4244"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4245" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4246"><span class="mrow" id="MathJax-Span-4247"><span class="mn" id="MathJax-Span-4248" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4249" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4250"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4251" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4252"><span class="mrow" id="MathJax-Span-4253"><span class="mn" id="MathJax-Span-4254" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4255" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4256" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-4257" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4258"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4259" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4260"><span class="mrow" id="MathJax-Span-4261"><span class="mn" id="MathJax-Span-4262" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4263" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4264"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4265" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4266"><span class="mrow" id="MathJax-Span-4267"><span class="mn" id="MathJax-Span-4268" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4269" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4270" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4271"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4272" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4273"><span class="mrow" id="MathJax-Span-4274"><span class="mn" id="MathJax-Span-4275" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4276" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4277" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4278"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4279" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4280"><span class="mrow" id="MathJax-Span-4281"><span class="mn" id="MathJax-Span-4282" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4283" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4284" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-4285"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4286" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4287"><span class="mrow" id="MathJax-Span-4288"><span class="mn" id="MathJax-Span-4289" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4290" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4291" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4292"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4293" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4294"><span class="mrow" id="MathJax-Span-4295"><span class="mn" id="MathJax-Span-4296" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4297" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4298" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4299"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4300" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4301"><span class="mrow" id="MathJax-Span-4302"><span class="mn" id="MathJax-Span-4303" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4304" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4305" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4306" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4307" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4308" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4309"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4310" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4311"><span class="mrow" id="MathJax-Span-4312"><span class="mn" id="MathJax-Span-4313" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4314" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4315"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4316" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4317"><span class="mrow" id="MathJax-Span-4318"><span class="mn" id="MathJax-Span-4319" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4320" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4321" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4322"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4323" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4324"><span class="mrow" id="MathJax-Span-4325"><span class="mn" id="MathJax-Span-4326" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4327" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4328"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4329" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4330"><span class="mrow" id="MathJax-Span-4331"><span class="mn" id="MathJax-Span-4332" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4333" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4334" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4335"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4336" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4337"><span class="mrow" id="MathJax-Span-4338"><span class="mn" id="MathJax-Span-4339" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4340" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4341" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.98em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-4342" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4343" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4344"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4345" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4346"><span class="mrow" id="MathJax-Span-4347"><span class="mn" id="MathJax-Span-4348" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4349"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4350" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4351"><span class="mrow" id="MathJax-Span-4352"><span class="mn" id="MathJax-Span-4353" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4354"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4355" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4356"><span class="mrow" id="MathJax-Span-4357"><span class="mn" id="MathJax-Span-4358" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4359" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4360" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4361" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4362"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4363" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4364"><span class="mrow" id="MathJax-Span-4365"><span class="mn" id="MathJax-Span-4366" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4367"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4368" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4369"><span class="mrow" id="MathJax-Span-4370"><span class="mn" id="MathJax-Span-4371" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4372"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4373" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4374"><span class="mrow" id="MathJax-Span-4375"><span class="mn" id="MathJax-Span-4376" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4377" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4378" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4379"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4380" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4381"><span class="mrow" id="MathJax-Span-4382"><span class="mn" id="MathJax-Span-4383" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4384"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4385" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4386"><span class="mrow" id="MathJax-Span-4387"><span class="mn" id="MathJax-Span-4388" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4389"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4390" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4391"><span class="mrow" id="MathJax-Span-4392"><span class="mn" id="MathJax-Span-4393" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4394" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4395" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4396" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4397"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4398" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4399"><span class="mrow" id="MathJax-Span-4400"><span class="mn" id="MathJax-Span-4401" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4402"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4403" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4404"><span class="mrow" id="MathJax-Span-4405"><span class="mn" id="MathJax-Span-4406" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4407"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4408" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4409"><span class="mrow" id="MathJax-Span-4410"><span class="mn" id="MathJax-Span-4411" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4412" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4413" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4414"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4415" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4416"><span class="mrow" id="MathJax-Span-4417"><span class="mn" id="MathJax-Span-4418" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4419"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4420" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4421"><span class="mrow" id="MathJax-Span-4422"><span class="mn" id="MathJax-Span-4423" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4424" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4425"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4426" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4427"><span class="mrow" id="MathJax-Span-4428"><span class="mn" id="MathJax-Span-4429" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4430" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4431" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4432"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4433" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4434"><span class="mrow" id="MathJax-Span-4435"><span class="mn" id="MathJax-Span-4436" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4437"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4438" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4439"><span class="mrow" id="MathJax-Span-4440"><span class="mn" id="MathJax-Span-4441" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4442" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4443"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4444" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4445"><span class="mrow" id="MathJax-Span-4446"><span class="mn" id="MathJax-Span-4447" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4448" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4449" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4450"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4451" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4452"><span class="mrow" id="MathJax-Span-4453"><span class="mn" id="MathJax-Span-4454" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4455"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4456" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4457"><span class="mrow" id="MathJax-Span-4458"><span class="mn" id="MathJax-Span-4459" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4460" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4461" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4462" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4463" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4464"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4465" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4466"><span class="mrow" id="MathJax-Span-4467"><span class="mn" id="MathJax-Span-4468" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4469"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4470" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4471"><span class="mrow" id="MathJax-Span-4472"><span class="mn" id="MathJax-Span-4473" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4474" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-4475" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4476" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4477"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4478" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4479"><span class="mrow" id="MathJax-Span-4480"><span class="mn" id="MathJax-Span-4481" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4482"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4483" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4484"><span class="mrow" id="MathJax-Span-4485"><span class="mn" id="MathJax-Span-4486" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4487"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4488" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4489"><span class="mrow" id="MathJax-Span-4490"><span class="mn" id="MathJax-Span-4491" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4492" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4493" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4494"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4495" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4496"><span class="mrow" id="MathJax-Span-4497"><span class="mn" id="MathJax-Span-4498" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4499"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4500" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4501"><span class="mrow" id="MathJax-Span-4502"><span class="mn" id="MathJax-Span-4503" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4504"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4505" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4506"><span class="mrow" id="MathJax-Span-4507"><span class="mn" id="MathJax-Span-4508" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4509" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4510" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4511"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4512" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4513"><span class="mrow" id="MathJax-Span-4514"><span class="mn" id="MathJax-Span-4515" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4516"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4517" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4518"><span class="mrow" id="MathJax-Span-4519"><span class="mn" id="MathJax-Span-4520" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4521" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4522" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4523" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4524"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4525" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4526"><span class="mrow" id="MathJax-Span-4527"><span class="mn" id="MathJax-Span-4528" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4529"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4530" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4531"><span class="mrow" id="MathJax-Span-4532"><span class="mn" id="MathJax-Span-4533" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.45em, 4.394em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-4534" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4535" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4536" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4537"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4538" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4539"><span class="mrow" id="MathJax-Span-4540"><span class="mn" id="MathJax-Span-4541" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4542"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4543" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4544"><span class="mrow" id="MathJax-Span-4545"><span class="mn" id="MathJax-Span-4546" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4547" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4548" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4549" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4550" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4551"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4552" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4553"><span class="mrow" id="MathJax-Span-4554"><span class="mn" id="MathJax-Span-4555" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4556"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4557" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4558"><span class="mrow" id="MathJax-Span-4559"><span class="mn" id="MathJax-Span-4560" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4561" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4562" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4563" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4564"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4565" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4566"><span class="mrow" id="MathJax-Span-4567"><span class="mn" id="MathJax-Span-4568" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4569"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4570" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4571"><span class="mrow" id="MathJax-Span-4572"><span class="mn" id="MathJax-Span-4573" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4574"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4575" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4576"><span class="mrow" id="MathJax-Span-4577"><span class="mn" id="MathJax-Span-4578" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4579" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4580" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-4581" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4582"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4583" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4584"><span class="mrow" id="MathJax-Span-4585"><span class="mn" id="MathJax-Span-4586" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4587"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4588" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4589"><span class="mrow" id="MathJax-Span-4590"><span class="mn" id="MathJax-Span-4591" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4592" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4593" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4594" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-4595" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4596"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4597" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4598"><span class="mrow" id="MathJax-Span-4599"><span class="mn" id="MathJax-Span-4600" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4601"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4602" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4603"><span class="mrow" id="MathJax-Span-4604"><span class="mn" id="MathJax-Span-4605" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4606" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4607" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4608" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4609"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4610" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4611"><span class="mrow" id="MathJax-Span-4612"><span class="mn" id="MathJax-Span-4613" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4614" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4615"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4616" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4617"><span class="mrow" id="MathJax-Span-4618"><span class="mn" id="MathJax-Span-4619" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4620" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4621" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-4622" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4623"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4624" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4625"><span class="mrow" id="MathJax-Span-4626"><span class="mn" id="MathJax-Span-4627" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4628" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4629" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4630" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4631" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-4632" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4633"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4634" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4635"><span class="mrow" id="MathJax-Span-4636"><span class="mn" id="MathJax-Span-4637" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4638" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-4639" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4640" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4641" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4642"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4643" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4644"><span class="mrow" id="MathJax-Span-4645"><span class="mn" id="MathJax-Span-4646" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4647"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4648" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4649"><span class="mrow" id="MathJax-Span-4650"><span class="mn" id="MathJax-Span-4651" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4652" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4653" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-4654" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4655"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4656" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4657"><span class="mrow" id="MathJax-Span-4658"><span class="mn" id="MathJax-Span-4659" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4660" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4661" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4662" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-4663" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-4664"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4665" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4666"><span class="mrow" id="MathJax-Span-4667"><span class="mn" id="MathJax-Span-4668" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4669" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4670" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4671"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4672" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4673"><span class="mrow" id="MathJax-Span-4674"><span class="mn" id="MathJax-Span-4675" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4676"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4677" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4678"><span class="mrow" id="MathJax-Span-4679"><span class="mn" id="MathJax-Span-4680" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4681" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4682" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4683" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4684"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4685" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4686"><span class="mrow" id="MathJax-Span-4687"><span class="mn" id="MathJax-Span-4688" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4689"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4690" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4691"><span class="mrow" id="MathJax-Span-4692"><span class="mn" id="MathJax-Span-4693" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4694" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1006.85em, 4.394em, -999.997em); top: 0.471em; left: 0em;"><span class="mo" id="MathJax-Span-4695" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4696" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4697"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4698" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-4699"><span class="mrow" id="MathJax-Span-4700"><span class="mn" id="MathJax-Span-4701" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4702" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4703" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4704" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4705" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4706"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4707" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-165">2 c^{4} e f^{3} + 6 c^{4} e f^{2} + 6 c^{4} e f + 2 c^{4} e - 2 c^{3} d e^{2} f^{2} - 4 c^{3} d e^{2} f - 2 c^{3} d e^{2} + 4 c^{3} d e f^{3} + 8 c^{3} d e f^{2} + 4 c^{3} d e f + 2 c^{3} d f^{3} + 4 c^{3} d f^{2} + 2 c^{3} d f + 2 c^{2} d^{2} e^{3} f + 2 c^{2} d^{2} e^{3} + 4 c^{2} d^{2} e^{2} f + 4 c^{2} d^{2} e^{2} + 2 c^{2} d^{2} e f^{3} + 4 c^{2} d^{2} e f^{2} + 6 c^{2} d^{2} e f + 4 c^{2} d^{2} e + 2 c^{2} d^{2} f^{3} + 4 c^{2} d^{2} f^{2} + 4 c^{2} d^{2} f + 2 c^{2} d^{2} + 4 c d^{3} e^{3} f + 2 c d^{3} e^{3} + 2 c d^{3} e^{2} f^{2} + 12 c d^{3} e^{2} f + 6 c d^{3} e^{2} + 4 c d^{3} e f^{2} + 12 c d^{3} e f + 6 c d^{3} e + 2 c d^{3} f^{2} + 4 c d^{3} f + 2 c d^{3} + 2 d^{4} e^{3} f + 6 d^{4} e^{2} f + 6 d^{4} e f + 2 d^{4} f</script>
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clip: rect(6.912em, 1056.33em, 14.172em, -999.997em); top: -7.901em; left: 0em;"><span class="mrow" id="MathJax-Span-4713"><span style="display: inline-block; position: relative; width: 56.326em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1054.45em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="msubsup" id="MathJax-Span-4714"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4715" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4716"><span class="mrow" id="MathJax-Span-4717"><span class="mn" id="MathJax-Span-4718" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4719"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4720" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4721"><span class="mrow" id="MathJax-Span-4722"><span class="mn" id="MathJax-Span-4723" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4724"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4725" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4726"><span class="mrow" id="MathJax-Span-4727"><span class="mn" id="MathJax-Span-4728" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4729" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4730" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-4731"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4732" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4733"><span class="mrow" id="MathJax-Span-4734"><span class="mn" id="MathJax-Span-4735" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4736"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4737" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4738"><span class="mrow" id="MathJax-Span-4739"><span class="mn" id="MathJax-Span-4740" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4741"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4742" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4743"><span class="mrow" id="MathJax-Span-4744"><span class="mn" id="MathJax-Span-4745" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4746" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4747" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-4748"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4749" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4750"><span class="mrow" id="MathJax-Span-4751"><span class="mn" id="MathJax-Span-4752" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4753"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4754" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4755"><span class="mrow" id="MathJax-Span-4756"><span class="mn" id="MathJax-Span-4757" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4758" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4759" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-4760" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4761" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4762"><span class="mrow" id="MathJax-Span-4763"><span class="mn" id="MathJax-Span-4764" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4765"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4766" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4767"><span class="mrow" id="MathJax-Span-4768"><span class="mn" id="MathJax-Span-4769" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4770" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-4771" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4772" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4773"><span class="mrow" id="MathJax-Span-4774"><span class="mn" id="MathJax-Span-4775" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4776"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4777" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4778"><span class="mrow" id="MathJax-Span-4779"><span class="mn" id="MathJax-Span-4780" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4781"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4782" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4783"><span class="mrow" id="MathJax-Span-4784"><span class="mn" id="MathJax-Span-4785" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4786" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4787" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-4788"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4789" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4790"><span class="mrow" id="MathJax-Span-4791"><span class="mn" id="MathJax-Span-4792" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4793"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4794" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4795"><span class="mrow" id="MathJax-Span-4796"><span class="mn" id="MathJax-Span-4797" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4798"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4799" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4800"><span class="mrow" id="MathJax-Span-4801"><span class="mn" id="MathJax-Span-4802" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4803" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4804" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-4805"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4806" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4807"><span class="mrow" id="MathJax-Span-4808"><span class="mn" id="MathJax-Span-4809" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4810"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4811" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4812"><span class="mrow" id="MathJax-Span-4813"><span class="mn" id="MathJax-Span-4814" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4815" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4816" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-4817" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4818" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4819"><span class="mrow" id="MathJax-Span-4820"><span class="mn" id="MathJax-Span-4821" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4822"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4823" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4824"><span class="mrow" id="MathJax-Span-4825"><span class="mn" id="MathJax-Span-4826" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4827" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4828" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4829"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4830" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4831"><span class="mrow" id="MathJax-Span-4832"><span class="mn" id="MathJax-Span-4833" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4834" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4835"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4836" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4837"><span class="mrow" id="MathJax-Span-4838"><span class="mn" id="MathJax-Span-4839" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4840"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4841" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4842"><span class="mrow" id="MathJax-Span-4843"><span class="mn" id="MathJax-Span-4844" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4845" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4846" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-4847"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4848" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4849"><span class="mrow" id="MathJax-Span-4850"><span class="mn" id="MathJax-Span-4851" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4852" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4853"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4854" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4855"><span class="mrow" id="MathJax-Span-4856"><span class="mn" id="MathJax-Span-4857" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4858"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4859" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4860"><span class="mrow" id="MathJax-Span-4861"><span class="mn" id="MathJax-Span-4862" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4863" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4864" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-4865"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4866" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4867"><span class="mrow" id="MathJax-Span-4868"><span class="mn" id="MathJax-Span-4869" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4870" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4871"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4872" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4873"><span class="mrow" id="MathJax-Span-4874"><span class="mn" id="MathJax-Span-4875" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4876" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4877" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4878" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4879"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4880" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4881"><span class="mrow" id="MathJax-Span-4882"><span class="mn" id="MathJax-Span-4883" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4884" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4885"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4886" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4887"><span class="mrow" id="MathJax-Span-4888"><span class="mn" id="MathJax-Span-4889" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4890" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4891" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-4892"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4893" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4894"><span class="mrow" id="MathJax-Span-4895"><span class="mn" id="MathJax-Span-4896" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4897" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4898"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4899" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4900"><span class="mrow" id="MathJax-Span-4901"><span class="mn" id="MathJax-Span-4902" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4903"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4904" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4905"><span class="mrow" id="MathJax-Span-4906"><span class="mn" id="MathJax-Span-4907" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1051.7em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-4908" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-4909" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="msubsup" id="MathJax-Span-4910"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4911" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4912"><span class="mrow" id="MathJax-Span-4913"><span class="mn" id="MathJax-Span-4914" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4915" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4916"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4917" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4918"><span class="mrow" id="MathJax-Span-4919"><span class="mn" id="MathJax-Span-4920" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-4921"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4922" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4923"><span class="mrow" id="MathJax-Span-4924"><span class="mn" id="MathJax-Span-4925" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4926" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4927" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-4928"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4929" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4930"><span class="mrow" id="MathJax-Span-4931"><span class="mn" id="MathJax-Span-4932" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4933" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4934"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4935" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4936"><span class="mrow" id="MathJax-Span-4937"><span class="mn" id="MathJax-Span-4938" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4939" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4940" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4941" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-4942"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4943" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4944"><span class="mrow" id="MathJax-Span-4945"><span class="mn" id="MathJax-Span-4946" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4947" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-4948"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4949" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-4950"><span class="mrow" id="MathJax-Span-4951"><span class="mn" id="MathJax-Span-4952" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4953" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4954" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-4955"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4956" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4957"><span class="mrow" id="MathJax-Span-4958"><span class="mn" id="MathJax-Span-4959" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4960" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4961" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4962"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4963" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4964"><span class="mrow" id="MathJax-Span-4965"><span class="mn" id="MathJax-Span-4966" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4967" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4968" style="font-family: MathJax_Main; padding-left: 0.237em;">5</span><span class="msubsup" id="MathJax-Span-4969"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4970" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4971"><span class="mrow" id="MathJax-Span-4972"><span class="mn" id="MathJax-Span-4973" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4974" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4975" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-4976"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4977" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-4978"><span class="mrow" id="MathJax-Span-4979"><span class="mn" id="MathJax-Span-4980" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-4981" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-4982" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-4983"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4984" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4985"><span class="mrow" id="MathJax-Span-4986"><span class="mn" id="MathJax-Span-4987" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4988" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4989" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-4990" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-4991" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-4992" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-4993" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-4994"><span class="mrow" id="MathJax-Span-4995"><span class="mn" id="MathJax-Span-4996" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-4997" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-4998" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-4999" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5000" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-5001"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5002" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5003"><span class="mrow" id="MathJax-Span-5004"><span class="mn" id="MathJax-Span-5005" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5006"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5007" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5008"><span class="mrow" id="MathJax-Span-5009"><span class="mn" id="MathJax-Span-5010" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5011"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5012" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5013"><span class="mrow" id="MathJax-Span-5014"><span class="mn" id="MathJax-Span-5015" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5016"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5017" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5018"><span class="mrow" id="MathJax-Span-5019"><span class="mn" id="MathJax-Span-5020" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5021" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5022" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-5023"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5024" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5025"><span class="mrow" id="MathJax-Span-5026"><span class="mn" id="MathJax-Span-5027" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5028"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5029" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5030"><span class="mrow" id="MathJax-Span-5031"><span class="mn" id="MathJax-Span-5032" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5033"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5034" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5035"><span class="mrow" id="MathJax-Span-5036"><span class="mn" id="MathJax-Span-5037" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5038"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5039" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5040"><span class="mrow" id="MathJax-Span-5041"><span class="mn" id="MathJax-Span-5042" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5043" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5044" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-5045"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5046" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5047"><span class="mrow" id="MathJax-Span-5048"><span class="mn" id="MathJax-Span-5049" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5050"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5051" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5052"><span class="mrow" id="MathJax-Span-5053"><span class="mn" id="MathJax-Span-5054" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5055"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5056" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5057"><span class="mrow" id="MathJax-Span-5058"><span class="mn" id="MathJax-Span-5059" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5060" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5061" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5062" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5063" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5064"><span class="mrow" id="MathJax-Span-5065"><span class="mn" id="MathJax-Span-5066" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5067"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5068" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5069"><span class="mrow" id="MathJax-Span-5070"><span class="mn" id="MathJax-Span-5071" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5072"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5073" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5074"><span class="mrow" id="MathJax-Span-5075"><span class="mn" id="MathJax-Span-5076" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.4em, 4.394em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-5077" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-5078" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-5079"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5080" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5081"><span class="mrow" id="MathJax-Span-5082"><span class="mn" id="MathJax-Span-5083" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5084"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5085" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5086"><span class="mrow" id="MathJax-Span-5087"><span class="mn" id="MathJax-Span-5088" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5089"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5090" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5091"><span class="mrow" id="MathJax-Span-5092"><span class="mn" id="MathJax-Span-5093" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5094"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5095" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5096"><span class="mrow" id="MathJax-Span-5097"><span class="mn" id="MathJax-Span-5098" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5099" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5100" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-5101"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5102" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5103"><span class="mrow" id="MathJax-Span-5104"><span class="mn" id="MathJax-Span-5105" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5106"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5107" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5108"><span class="mrow" id="MathJax-Span-5109"><span class="mn" id="MathJax-Span-5110" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5111"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5112" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5113"><span class="mrow" id="MathJax-Span-5114"><span class="mn" id="MathJax-Span-5115" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5116"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5117" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5118"><span class="mrow" id="MathJax-Span-5119"><span class="mn" id="MathJax-Span-5120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5121" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5122" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-5123"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5124" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5125"><span class="mrow" id="MathJax-Span-5126"><span class="mn" id="MathJax-Span-5127" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5128"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5129" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5130"><span class="mrow" id="MathJax-Span-5131"><span class="mn" id="MathJax-Span-5132" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5133"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5134" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5135"><span class="mrow" id="MathJax-Span-5136"><span class="mn" id="MathJax-Span-5137" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5138" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5139" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5140" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5141"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5142" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5143"><span class="mrow" id="MathJax-Span-5144"><span class="mn" id="MathJax-Span-5145" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5146"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5147" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5148"><span class="mrow" id="MathJax-Span-5149"><span class="mn" id="MathJax-Span-5150" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5151"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5152" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5153"><span class="mrow" id="MathJax-Span-5154"><span class="mn" id="MathJax-Span-5155" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5156" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5157" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-5158"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5159" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5160"><span class="mrow" id="MathJax-Span-5161"><span class="mn" id="MathJax-Span-5162" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5163"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5164" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5165"><span class="mrow" id="MathJax-Span-5166"><span class="mn" id="MathJax-Span-5167" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5168" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5169"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5170" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5171"><span class="mrow" id="MathJax-Span-5172"><span class="mn" id="MathJax-Span-5173" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5174" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5175" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-5176"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5177" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5178"><span class="mrow" id="MathJax-Span-5179"><span class="mn" id="MathJax-Span-5180" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5181"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5182" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5183"><span class="mrow" id="MathJax-Span-5184"><span class="mn" id="MathJax-Span-5185" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5186" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5187"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5188" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5189"><span class="mrow" id="MathJax-Span-5190"><span class="mn" id="MathJax-Span-5191" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5192" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5193" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-5194"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5195" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5196"><span class="mrow" id="MathJax-Span-5197"><span class="mn" id="MathJax-Span-5198" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5199"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5200" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5201"><span class="mrow" id="MathJax-Span-5202"><span class="mn" id="MathJax-Span-5203" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5204" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-5205" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5206" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5207" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5208" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5209"><span class="mrow" id="MathJax-Span-5210"><span class="mn" id="MathJax-Span-5211" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5212"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5213" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5214"><span class="mrow" id="MathJax-Span-5215"><span class="mn" id="MathJax-Span-5216" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5217" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-5218" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5219" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5220" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5221"><span class="mrow" id="MathJax-Span-5222"><span class="mn" id="MathJax-Span-5223" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5224"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5225" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5226"><span class="mrow" id="MathJax-Span-5227"><span class="mn" id="MathJax-Span-5228" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5229"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5230" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5231"><span class="mrow" id="MathJax-Span-5232"><span class="mn" id="MathJax-Span-5233" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5234" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5235" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5236"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5237" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5238"><span class="mrow" id="MathJax-Span-5239"><span class="mn" id="MathJax-Span-5240" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5241"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5242" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5243"><span class="mrow" id="MathJax-Span-5244"><span class="mn" id="MathJax-Span-5245" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5246"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5247" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5248"><span class="mrow" id="MathJax-Span-5249"><span class="mn" id="MathJax-Span-5250" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5251" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5252" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5253" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5254"><span class="mrow" id="MathJax-Span-5255"><span class="mn" id="MathJax-Span-5256" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5257"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5258" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5259"><span class="mrow" id="MathJax-Span-5260"><span class="mn" id="MathJax-Span-5261" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5262" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.33em, 4.394em, -999.997em); top: 0.413em; left: 0em;"><span class="mo" id="MathJax-Span-5263" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-5264" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-5265" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5266"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5267" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5268"><span class="mrow" id="MathJax-Span-5269"><span class="mn" id="MathJax-Span-5270" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5271"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5272" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5273"><span class="mrow" id="MathJax-Span-5274"><span class="mn" id="MathJax-Span-5275" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5276"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5277" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5278"><span class="mrow" id="MathJax-Span-5279"><span class="mn" id="MathJax-Span-5280" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5281" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5282" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-5283" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5284"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5285" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5286"><span class="mrow" id="MathJax-Span-5287"><span class="mn" id="MathJax-Span-5288" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5289"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5290" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5291"><span class="mrow" id="MathJax-Span-5292"><span class="mn" id="MathJax-Span-5293" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5294"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5295" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5296"><span class="mrow" id="MathJax-Span-5297"><span class="mn" id="MathJax-Span-5298" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5299" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5300" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-5301" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5302"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5303" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5304"><span class="mrow" id="MathJax-Span-5305"><span class="mn" id="MathJax-Span-5306" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5307"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5308" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5309"><span class="mrow" id="MathJax-Span-5310"><span class="mn" id="MathJax-Span-5311" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5312" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5313" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5314" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="mi" id="MathJax-Span-5315" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5316"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5317" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5318"><span class="mrow" id="MathJax-Span-5319"><span class="mn" id="MathJax-Span-5320" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5321"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5322" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5323"><span class="mrow" id="MathJax-Span-5324"><span class="mn" id="MathJax-Span-5325" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5326"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5327" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5328"><span class="mrow" id="MathJax-Span-5329"><span class="mn" id="MathJax-Span-5330" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5331" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5332" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="mi" id="MathJax-Span-5333" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5334"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5335" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5336"><span class="mrow" id="MathJax-Span-5337"><span class="mn" id="MathJax-Span-5338" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5339"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5340" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5341"><span class="mrow" id="MathJax-Span-5342"><span class="mn" id="MathJax-Span-5343" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5344"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5345" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5346"><span class="mrow" id="MathJax-Span-5347"><span class="mn" id="MathJax-Span-5348" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5349" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5350" style="font-family: MathJax_Main; padding-left: 0.237em;">5</span><span class="mi" id="MathJax-Span-5351" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5352"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5353" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5354"><span class="mrow" id="MathJax-Span-5355"><span class="mn" id="MathJax-Span-5356" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5357"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5358" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5359"><span class="mrow" id="MathJax-Span-5360"><span class="mn" id="MathJax-Span-5361" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5362" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5363" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5364" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-5365" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5366"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5367" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5368"><span class="mrow" id="MathJax-Span-5369"><span class="mn" id="MathJax-Span-5370" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5371" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5372"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5373" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5374"><span class="mrow" id="MathJax-Span-5375"><span class="mn" id="MathJax-Span-5376" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5377" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5378" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-5379" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5380"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5381" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5382"><span class="mrow" id="MathJax-Span-5383"><span class="mn" id="MathJax-Span-5384" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5385" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5386"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5387" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5388"><span class="mrow" id="MathJax-Span-5389"><span class="mn" id="MathJax-Span-5390" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5391" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5392" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-5393" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5394"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5395" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5396"><span class="mrow" id="MathJax-Span-5397"><span class="mn" id="MathJax-Span-5398" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5399" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-5400" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5401" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5402" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-5403" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5404"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5405" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5406"><span class="mrow" id="MathJax-Span-5407"><span class="mn" id="MathJax-Span-5408" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5409"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5410" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5411"><span class="mrow" id="MathJax-Span-5412"><span class="mn" id="MathJax-Span-5413" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5414" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5415" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-5416" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5417"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5418" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5419"><span class="mrow" id="MathJax-Span-5420"><span class="mn" id="MathJax-Span-5421" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5422"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5423" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5424"><span class="mrow" id="MathJax-Span-5425"><span class="mn" id="MathJax-Span-5426" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5427" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-5428" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span><span class="msubsup" id="MathJax-Span-5429"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5430" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5431"><span class="mrow" id="MathJax-Span-5432"><span class="mn" id="MathJax-Span-5433" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5434" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1032.67em, 4.394em, -999.997em); top: 1.935em; left: 0em;"><span class="mo" id="MathJax-Span-5435" style="font-family: MathJax_Main;">+</span><span class="msubsup" id="MathJax-Span-5436" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5437" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5438"><span class="mrow" id="MathJax-Span-5439"><span class="mn" id="MathJax-Span-5440" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5441"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5442" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5443"><span class="mrow" id="MathJax-Span-5444"><span class="mn" id="MathJax-Span-5445" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5446"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5447" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5448"><span class="mrow" id="MathJax-Span-5449"><span class="mn" id="MathJax-Span-5450" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5451" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5452" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5453" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5454"><span class="mrow" id="MathJax-Span-5455"><span class="mn" id="MathJax-Span-5456" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5457"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5458" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5459"><span class="mrow" id="MathJax-Span-5460"><span class="mn" id="MathJax-Span-5461" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5462"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5463" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5464"><span class="mrow" id="MathJax-Span-5465"><span class="mn" id="MathJax-Span-5466" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5467" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5468" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-5469"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5470" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5471"><span class="mrow" id="MathJax-Span-5472"><span class="mn" id="MathJax-Span-5473" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5474"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5475" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5476"><span class="mrow" id="MathJax-Span-5477"><span class="mn" id="MathJax-Span-5478" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5479"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5480" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5481"><span class="mrow" id="MathJax-Span-5482"><span class="mn" id="MathJax-Span-5483" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5484" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5485" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-5486"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5487" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5488"><span class="mrow" id="MathJax-Span-5489"><span class="mn" id="MathJax-Span-5490" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5491"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5492" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5493"><span class="mrow" id="MathJax-Span-5494"><span class="mn" id="MathJax-Span-5495" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5496"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5497" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5498"><span class="mrow" id="MathJax-Span-5499"><span class="mn" id="MathJax-Span-5500" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5501" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5502" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-5503"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5504" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5505"><span class="mrow" id="MathJax-Span-5506"><span class="mn" id="MathJax-Span-5507" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5508" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5509"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5510" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5511"><span class="mrow" id="MathJax-Span-5512"><span class="mn" id="MathJax-Span-5513" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5514" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5515" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-5516"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5517" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5518"><span class="mrow" id="MathJax-Span-5519"><span class="mn" id="MathJax-Span-5520" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5521" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5522"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5523" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5524"><span class="mrow" id="MathJax-Span-5525"><span class="mn" id="MathJax-Span-5526" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5527" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-166">c^{4} e^{3} f^{3} + 3 c^{4} e^{3} f^{2} + 3 c^{4} e^{3} f + c^{4} e^{3} + c^{4} e^{2} f^{3} + 3 c^{4} e^{2} f^{2} + 3 c^{4} e^{2} f + c^{4} e^{2} + 4 c^{3} d e^{3} f^{3} + 10 c^{3} d e^{3} f^{2} + 8 c^{3} d e^{3} f + 2 c^{3} d e^{3} + 6 c^{3} d e^{2} f^{3} + 15 c^{3} d e^{2} f^{2} + 12 c^{3} d e^{2} f + 3 c^{3} d e^{2} + 2 c^{3} d e f^{3} + 5 c^{3} d e f^{2} + 4 c^{3} d e f + c^{3} d e + 6 c^{2} d^{2} e^{3} f^{3} + 12 c^{2} d^{2} e^{3} f^{2} + 7 c^{2} d^{2} e^{3} f + c^{2} d^{2} e^{3} + 12 c^{2} d^{2} e^{2} f^{3} + 24 c^{2} d^{2} e^{2} f^{2} + 14 c^{2} d^{2} e^{2} f + 2 c^{2} d^{2} e^{2} + 7 c^{2} d^{2} e f^{3} + 14 c^{2} d^{2} e f^{2} + 8 c^{2} d^{2} e f + c^{2} d^{2} e + c^{2} d^{2} f^{3} + 2 c^{2} d^{2} f^{2} + c^{2} d^{2} f + 4 c d^{3} e^{3} f^{3} + 6 c d^{3} e^{3} f^{2} + 2 c d^{3} e^{3} f + 10 c d^{3} e^{2} f^{3} + 15 c d^{3} e^{2} f^{2} + 5 c d^{3} e^{2} f + 8 c d^{3} e f^{3} + 12 c d^{3} e f^{2} + 4 c d^{3} e f + 2 c d^{3} f^{3} + 3 c d^{3} f^{2} + c d^{3} f + d^{4} e^{3} f^{3} + d^{4} e^{3} f^{2} + 3 d^{4} e^{2} f^{3} + 3 d^{4} e^{2} f^{2} + 3 d^{4} e f^{3} + 3 d^{4} e f^{2} + d^{4} f^{3} + d^{4} f^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
status: 0
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
From weighted AM-GM inequality:
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
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||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-167-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-5549" style="width: 14.874em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.181em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1012.18em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-5550"><span class="mn" id="MathJax-Span-5551" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-5552"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5553" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5554"><span class="mrow" id="MathJax-Span-5555"><span class="mn" id="MathJax-Span-5556" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5557" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-5558"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5559" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5560"><span class="mrow" id="MathJax-Span-5561"><span class="mn" id="MathJax-Span-5562" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5563"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5564" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5565"><span class="mrow" id="MathJax-Span-5566"><span class="mn" id="MathJax-Span-5567" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5568" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-5569" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5570" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5571"><span class="mrow" id="MathJax-Span-5572"><span class="mn" id="MathJax-Span-5573" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5574" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5575"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5576" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5577"><span class="mrow" id="MathJax-Span-5578"><span class="mn" id="MathJax-Span-5579" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5580" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5581" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5582" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5583"><span class="mrow" id="MathJax-Span-5584"><span class="mn" id="MathJax-Span-5585" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5586"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5587" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5588"><span class="mrow" id="MathJax-Span-5589"><span class="mn" id="MathJax-Span-5590" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5591"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5592" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5593"><span class="mrow" id="MathJax-Span-5594"><span class="mn" id="MathJax-Span-5595" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5596" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-167">2 c^{3} d e^{2} f^{2} \le c^{4} e f^{3}+c^{2} d^{2} e^{3} f</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-168-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-5597" style="width: 11.654em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.546em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1009.55em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-5598"><span class="mn" id="MathJax-Span-5599" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-5600"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5601" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5602"><span class="mrow" id="MathJax-Span-5603"><span class="mn" id="MathJax-Span-5604" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5605" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-5606"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5607" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5608"><span class="mrow" id="MathJax-Span-5609"><span class="mn" id="MathJax-Span-5610" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5611" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-5612" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5613" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5614"><span class="mrow" id="MathJax-Span-5615"><span class="mn" id="MathJax-Span-5616" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5617" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-5618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5619" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5620" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5621"><span class="mrow" id="MathJax-Span-5622"><span class="mn" id="MathJax-Span-5623" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5624"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5625" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5626"><span class="mrow" id="MathJax-Span-5627"><span class="mn" id="MathJax-Span-5628" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5629"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5630" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5631"><span class="mrow" id="MathJax-Span-5632"><span class="mn" id="MathJax-Span-5633" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-168">2 c^{3} d e^{2} \le c^{4} e+c^{2} d^{2} e^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-169-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>&#x2264;</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-5634" style="width: 22.31em; display: inline-block;"><span style="display: inline-block; position: relative; width: 18.27em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1018.27em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-5635"><span class="mn" id="MathJax-Span-5636" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-5637"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5638" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5639"><span class="mrow" id="MathJax-Span-5640"><span class="mn" id="MathJax-Span-5641" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5642" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-5643"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5644" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5645"><span class="mrow" id="MathJax-Span-5646"><span class="mn" id="MathJax-Span-5647" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5648" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5649" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-5650" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5651" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5652"><span class="mrow" id="MathJax-Span-5653"><span class="mn" id="MathJax-Span-5654" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5655" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5656"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5657" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5658"><span class="mrow" id="MathJax-Span-5659"><span class="mn" id="MathJax-Span-5660" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5661" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5662" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5663" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5664"><span class="mrow" id="MathJax-Span-5665"><span class="mn" id="MathJax-Span-5666" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5667" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-5668" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5669" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5670" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5671"><span class="mrow" id="MathJax-Span-5672"><span class="mn" id="MathJax-Span-5673" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5674"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5675" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5676"><span class="mrow" id="MathJax-Span-5677"><span class="mn" id="MathJax-Span-5678" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5679"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5680" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5681"><span class="mrow" id="MathJax-Span-5682"><span class="mn" id="MathJax-Span-5683" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5684" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5685" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-5686" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5687" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5688"><span class="mrow" id="MathJax-Span-5689"><span class="mn" id="MathJax-Span-5690" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5691"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5692" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5693"><span class="mrow" id="MathJax-Span-5694"><span class="mn" id="MathJax-Span-5695" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5696"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5697" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5698"><span class="mrow" id="MathJax-Span-5699"><span class="mn" id="MathJax-Span-5700" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>≤</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-169">4 c^{3} d e^{2} f \le c^{4} e f^{3}+c^{4} e+c^{2} d^{2} e^{3} f+c^{2} d^{2} e^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display"><span class="MathJax MathJax_FullWidth" id="MathJax-Element-170-Frame" tabindex="0" style="position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-5701" style="width: 100%; display: inline-block; min-width: 65.518em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(4.101em, 1053.69em, 8.609em, -999.997em); top: -5.149em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-5702"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1053.69em, 4.394em, -999.997em); top: -3.978em; left: 50%; margin-left: -26.871em;"><span class="mn" id="MathJax-Span-5703" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-5704" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-5705" style="font-family: MathJax_Main; padding-left: 0.296em;">6</span><span class="msubsup" id="MathJax-Span-5706"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5707" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5708"><span class="mrow" id="MathJax-Span-5709"><span class="mn" id="MathJax-Span-5710" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5711" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5712"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5713" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5714"><span class="mrow" id="MathJax-Span-5715"><span class="mn" id="MathJax-Span-5716" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5717" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5718" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-5719"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5720" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5721"><span class="mrow" id="MathJax-Span-5722"><span class="mn" id="MathJax-Span-5723" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5724" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-5725" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5726" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5727" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5728"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5729" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5730"><span class="mrow" id="MathJax-Span-5731"><span class="mn" id="MathJax-Span-5732" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5733" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-5734" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5735"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5736" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5737"><span class="mrow" id="MathJax-Span-5738"><span class="mn" id="MathJax-Span-5739" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5740" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5741" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-5742"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5743" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5744"><span class="mrow" id="MathJax-Span-5745"><span class="mn" id="MathJax-Span-5746" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5747" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-5748" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5749"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5750" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5751"><span class="mrow" id="MathJax-Span-5752"><span class="mn" id="MathJax-Span-5753" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5754" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5755" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5756"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5757" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5758"><span class="mrow" id="MathJax-Span-5759"><span class="mn" id="MathJax-Span-5760" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5761" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-5762" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-5763" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5764" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5765" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5766"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5767" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5768"><span class="mrow" id="MathJax-Span-5769"><span class="mn" id="MathJax-Span-5770" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5771" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-5772"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5773" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5774"><span class="mrow" id="MathJax-Span-5775"><span class="mn" id="MathJax-Span-5776" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5777" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5778" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5779"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5780" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5781"><span class="mrow" id="MathJax-Span-5782"><span class="mn" id="MathJax-Span-5783" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5784" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-5785"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5786" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5787"><span class="mrow" id="MathJax-Span-5788"><span class="mn" id="MathJax-Span-5789" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5790" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5791" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5792"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5793" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5794"><span class="mrow" id="MathJax-Span-5795"><span class="mn" id="MathJax-Span-5796" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5797" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-5798" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5799" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5800" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5801"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5802" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5803"><span class="mrow" id="MathJax-Span-5804"><span class="mn" id="MathJax-Span-5805" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5806"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5807" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5808"><span class="mrow" id="MathJax-Span-5809"><span class="mn" id="MathJax-Span-5810" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5811"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5812" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5813"><span class="mrow" id="MathJax-Span-5814"><span class="mn" id="MathJax-Span-5815" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5816" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5817" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5818" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5819"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5820" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5821"><span class="mrow" id="MathJax-Span-5822"><span class="mn" id="MathJax-Span-5823" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5824"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5825" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5826"><span class="mrow" id="MathJax-Span-5827"><span class="mn" id="MathJax-Span-5828" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5829"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5830" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5831"><span class="mrow" id="MathJax-Span-5832"><span class="mn" id="MathJax-Span-5833" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5834" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5835" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5836"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5837" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5838"><span class="mrow" id="MathJax-Span-5839"><span class="mn" id="MathJax-Span-5840" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5841"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5842" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5843"><span class="mrow" id="MathJax-Span-5844"><span class="mn" id="MathJax-Span-5845" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5846" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5847"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5848" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5849"><span class="mrow" id="MathJax-Span-5850"><span class="mn" id="MathJax-Span-5851" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5852" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5853" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5854"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5855" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5856"><span class="mrow" id="MathJax-Span-5857"><span class="mn" id="MathJax-Span-5858" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5859"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5860" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5861"><span class="mrow" id="MathJax-Span-5862"><span class="mn" id="MathJax-Span-5863" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5864" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-5865"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5866" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5867"><span class="mrow" id="MathJax-Span-5868"><span class="mn" id="MathJax-Span-5869" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.34em, 4.394em, -999.997em); top: -2.456em; left: 50%; margin-left: -26.695em;"><span class="mo" id="MathJax-Span-5870" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-5871" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-5872"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5873" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5874"><span class="mrow" id="MathJax-Span-5875"><span class="mn" id="MathJax-Span-5876" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5877"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5878" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5879"><span class="mrow" id="MathJax-Span-5880"><span class="mn" id="MathJax-Span-5881" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5882" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-5883" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5884" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5885" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5886"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5887" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5888"><span class="mrow" id="MathJax-Span-5889"><span class="mn" id="MathJax-Span-5890" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5891"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5892" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5893"><span class="mrow" id="MathJax-Span-5894"><span class="mn" id="MathJax-Span-5895" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5896" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-5897" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5898" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5899"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5900" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5901"><span class="mrow" id="MathJax-Span-5902"><span class="mn" id="MathJax-Span-5903" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5904"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5905" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5906"><span class="mrow" id="MathJax-Span-5907"><span class="mn" id="MathJax-Span-5908" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5909"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5910" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5911"><span class="mrow" id="MathJax-Span-5912"><span class="mn" id="MathJax-Span-5913" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5914" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5915" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5916"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5917" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5918"><span class="mrow" id="MathJax-Span-5919"><span class="mn" id="MathJax-Span-5920" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5921"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5922" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5923"><span class="mrow" id="MathJax-Span-5924"><span class="mn" id="MathJax-Span-5925" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5926"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5927" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5928"><span class="mrow" id="MathJax-Span-5929"><span class="mn" id="MathJax-Span-5930" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5931" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5932" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-5933"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5934" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5935"><span class="mrow" id="MathJax-Span-5936"><span class="mn" id="MathJax-Span-5937" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5938"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5939" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5940"><span class="mrow" id="MathJax-Span-5941"><span class="mn" id="MathJax-Span-5942" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5943" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5944" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5945" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-5946"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5947" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-5948"><span class="mrow" id="MathJax-Span-5949"><span class="mn" id="MathJax-Span-5950" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5951"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5952" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5953"><span class="mrow" id="MathJax-Span-5954"><span class="mn" id="MathJax-Span-5955" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5956" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5957" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-5958" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5959"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5960" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5961"><span class="mrow" id="MathJax-Span-5962"><span class="mn" id="MathJax-Span-5963" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5964"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5965" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5966"><span class="mrow" id="MathJax-Span-5967"><span class="mn" id="MathJax-Span-5968" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-5969" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-5970" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5971" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-5972" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5973"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5974" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5975"><span class="mrow" id="MathJax-Span-5976"><span class="mn" id="MathJax-Span-5977" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5978"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5979" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5980"><span class="mrow" id="MathJax-Span-5981"><span class="mn" id="MathJax-Span-5982" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-5983" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-5984" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-5985" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-5986"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5987" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-5988"><span class="mrow" id="MathJax-Span-5989"><span class="mn" id="MathJax-Span-5990" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5991"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5992" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-5993"><span class="mrow" id="MathJax-Span-5994"><span class="mn" id="MathJax-Span-5995" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-5996"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-5997" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-5998"><span class="mrow" id="MathJax-Span-5999"><span class="mn" id="MathJax-Span-6000" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6001" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6002" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-6003" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6004"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6005" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6006"><span class="mrow" id="MathJax-Span-6007"><span class="mn" id="MathJax-Span-6008" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6009"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6010" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6011"><span class="mrow" id="MathJax-Span-6012"><span class="mn" id="MathJax-Span-6013" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6014" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6015" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6016" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-6017" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6018"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6019" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6020"><span class="mrow" id="MathJax-Span-6021"><span class="mn" id="MathJax-Span-6022" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6023"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6024" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6025"><span class="mrow" id="MathJax-Span-6026"><span class="mn" id="MathJax-Span-6027" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6028" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6029" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6030" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6031"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6032" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6033"><span class="mrow" id="MathJax-Span-6034"><span class="mn" id="MathJax-Span-6035" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6036" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-6037"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6038" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6039"><span class="mrow" id="MathJax-Span-6040"><span class="mn" id="MathJax-Span-6041" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1034.78em, 4.394em, -999.997em); top: -0.934em; left: 50%; margin-left: -17.386em;"><span class="mo" id="MathJax-Span-6042" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-6043" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-6044" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6045"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6046" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6047"><span class="mrow" id="MathJax-Span-6048"><span class="mn" id="MathJax-Span-6049" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6050" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-6051" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6052" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6053" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-6054" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6055"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6056" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6057"><span class="mrow" id="MathJax-Span-6058"><span class="mn" id="MathJax-Span-6059" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6060" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6061" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6062" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-6063" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6064"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6065" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6066"><span class="mrow" id="MathJax-Span-6067"><span class="mn" id="MathJax-Span-6068" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6069"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6070" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6071"><span class="mrow" id="MathJax-Span-6072"><span class="mn" id="MathJax-Span-6073" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6074" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6075" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6076" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6077"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6078" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6079"><span class="mrow" id="MathJax-Span-6080"><span class="mn" id="MathJax-Span-6081" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6082" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6083" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6084" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-6085" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-6086"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6087" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6088"><span class="mrow" id="MathJax-Span-6089"><span class="mn" id="MathJax-Span-6090" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6091" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6092" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-6093"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6094" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6095"><span class="mrow" id="MathJax-Span-6096"><span class="mn" id="MathJax-Span-6097" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6098"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6099" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6100"><span class="mrow" id="MathJax-Span-6101"><span class="mn" id="MathJax-Span-6102" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6103" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6104" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6105" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6106"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6107" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6108"><span class="mrow" id="MathJax-Span-6109"><span class="mn" id="MathJax-Span-6110" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6111"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6112" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6113"><span class="mrow" id="MathJax-Span-6114"><span class="mn" id="MathJax-Span-6115" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6116" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6117" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6118" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6119"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6120" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6121"><span class="mrow" id="MathJax-Span-6122"><span class="mn" id="MathJax-Span-6123" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6124" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-6125" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6126" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6127" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-6128"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6129" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6130"><span class="mrow" id="MathJax-Span-6131"><span class="mn" id="MathJax-Span-6132" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6133" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 5.155em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -4.068em; border-left: 0px solid; width: 0px; height: 5.218em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>6</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>2</mn><mi>c</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>6</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mi>f</mi><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-170"> 0 \le 6 c^{4} e f^{2}+6 c^{4} e f+4 c^{3} d e f^{3}+8 c^{3} d e f^{2}+4 c^{3} d e f+2 c^{3} d f^{3}+4 c^{3} d f^{2}+2 c^{3} d f+4 c^{2} d^{2} e^{2} f+4 c^{2} d^{2} e^{2}+2 c^{2} d^{2} e f^{3}+4 c^{2} d^{2} e f^{2}+6 c^{2} d^{2} e f+4 c^{2} d^{2} e+2 c^{2} d^{2} f^{3}+4 c^{2} d^{2} f^{2}+4 c^{2} d^{2} f+2 c^{2} d^{2}+4 c d^{3} e^{3} f+2 c d^{3} e^{3}+2 c d^{3} e^{2} f^{2}+12 c d^{3} e^{2} f+6 c d^{3} e^{2}+4 c d^{3} e f^{2}+12 c d^{3} e f+6 c d^{3} e+2 c d^{3} f^{2}+4 c d^{3} f+2 c d^{3}+2 d^{4} e^{3} f+6 d^{4} e^{2} f+6 d^{4} e f+2 d^{4} f </script>
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The sum of all inequalities gives us a proof of the inequality.
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<pre>0</pre>
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<p>Function <code>powerprove</code> is a shortcut for splitting domain <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-171-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mi>R</mi><mo>+</mo><mi>n</mi></msubsup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6134" style="width: 1.759em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1001.41em, 2.638em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6135"><span class="msubsup" id="MathJax-Span-6136"><span style="display: inline-block; position: relative; width: 1.408em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6137" style="font-family: MathJax_Math; font-style: italic;">R</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 4.16em, -999.997em); top: -4.33em; left: 0.764em;"><span class="mi" id="MathJax-Span-6138" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.399em, 1000.65em, 4.218em, -999.997em); top: -3.744em; left: 0.764em;"><span class="mo" id="MathJax-Span-6139" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.425em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mi>R</mi><mo>+</mo><mi>n</mi></msubsup></math></span></span><script type="math/tex" id="MathJax-Element-171">R_+^n</script> on several subdomains and proving the inequality for each of them. This function uses <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-172-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mi>n</mi></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6140" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1001em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6141"><span class="msubsup" id="MathJax-Span-6142"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-6143" style="font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="mi" id="MathJax-Span-6144" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mi>n</mi></msup></math></span></span><script type="math/tex" id="MathJax-Element-172">2^n</script> of <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-173-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6145" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.59em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6146"><span class="mi" id="MathJax-Span-6147" style="font-family: MathJax_Math; font-style: italic;">n</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></span></span><script type="math/tex" id="MathJax-Element-173">n</script>-dimensional intervals with a common point (by default it's <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-174-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6148" style="width: 6.15em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.038em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1004.92em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6149"><span class="mo" id="MathJax-Span-6150" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-6151" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-6152" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-6153" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-6154" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-6155" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-6156" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-6157" style="font-family: MathJax_Main; padding-left: 0.179em;">.</span><span class="mo" id="MathJax-Span-6158" style="font-family: MathJax_Main; padding-left: 0.179em;">,</span><span class="mn" id="MathJax-Span-6159" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-6160" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-174">(1,1,...,1)</script>), where <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-175-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6161" style="width: 0.764em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.588em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.525em, 1000.59em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6162"><span class="mi" id="MathJax-Span-6163" style="font-family: MathJax_Math; font-style: italic;">n</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></span></span><script type="math/tex" id="MathJax-Element-175">n</script> is a number of variables. Here there are two examples of using it. As you can see, proofs are very long.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
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<span class="c1">#this is equivalent to</span>
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<span class="c1">#prove(makesubs('(x-1)^4','[1,oo]'))</span>
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<span class="c1">#prove(makesubs('(x-1)^4','[1,0]')) </span>
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<span class="c1">#you can write ends of interval in any order, so [1,0] is the same as [0,1]</span>
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<span class="c1">#but the substitution is slightly simpler when 0 is on the right side</span>
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<span class="n">powerprove</span><span class="p">(</span><span class="s1">'(x-1)^4'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-176-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6164" style="width: 12.942em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.6em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1010.54em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6165"><span class="msubsup" id="MathJax-Span-6166"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6167" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6168"><span class="mrow" id="MathJax-Span-6169"><span class="mn" id="MathJax-Span-6170" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6171" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6172" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6173"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6174" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6175"><span class="mrow" id="MathJax-Span-6176"><span class="mn" id="MathJax-Span-6177" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6178" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6179" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6180"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6181" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6182"><span class="mrow" id="MathJax-Span-6183"><span class="mn" id="MathJax-Span-6184" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6185" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6186" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6187" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-6188" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6189" style="font-family: MathJax_Main; padding-left: 0.237em;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>−</mo><mn>4</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-176">x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-177-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6190" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6191"><span class="mn" id="MathJax-Span-6192" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-177">1</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
_______________________
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-178-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>a</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6193" style="width: 5.448em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.453em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1004.45em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6194"><span class="mi" id="MathJax-Span-6195" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-6196" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6197" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6198" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6199" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>a</mi></math></span></span><script type="math/tex" id="MathJax-Element-178">x\to 1+a</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-179-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6200" style="width: 1.174em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1000.94em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6201"><span class="msubsup" id="MathJax-Span-6202"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6203" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6204"><span class="mrow" id="MathJax-Span-6205"><span class="mn" id="MathJax-Span-6206" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-179">a^{4}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
status: 0
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-180-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6207" style="width: 3.457em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.813em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1002.81em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6208"><span class="mn" id="MathJax-Span-6209" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-6210" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-6211" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6212" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6213"><span class="mrow" id="MathJax-Span-6214"><span class="mn" id="MathJax-Span-6215" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-180"> 0 \le a^{4} </script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
The sum of all inequalities gives us a proof of the inequality.
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
_______________________
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-181-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>b</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6216" style="width: 7.497em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.15em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1006.03em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6217"><span class="mi" id="MathJax-Span-6218" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-6219" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6220" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-6221"><span class="mrow" id="MathJax-Span-6222"><span class="mo" id="MathJax-Span-6223" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-6224" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-6225" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-6226" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6227" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span><span class="mo" id="MathJax-Span-6228" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>b</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-181">x\to 1/(1+b)</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-182-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6229" style="width: 1.115em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1000.88em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6230"><span class="msubsup" id="MathJax-Span-6231"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6232" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6233"><span class="mrow" id="MathJax-Span-6234"><span class="mn" id="MathJax-Span-6235" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-182">b^{4}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
status: 0
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-183-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6236" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1002.75em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6237"><span class="mn" id="MathJax-Span-6238" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-6239" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-6240" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6241" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6242"><span class="mrow" id="MathJax-Span-6243"><span class="mn" id="MathJax-Span-6244" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-183"> 0 \le b^{4} </script>
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|
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The sum of all inequalities gives us a proof of the inequality.
|
||
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<div class="prompt output_prompt">Out[22]:</div>
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<pre>Counter({0: 2})</pre>
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<div class="input">
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<div class="prompt input_prompt">In [23]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
|
||
<span class="n">formula</span><span class="o">=</span><span class="n">Sm</span><span class="p">(</span><span class="s1">'-(3a+2b+c)(2a^3+3b^2+6c+1)+(4a+4b+4c)(a^4+b^3+c^2+3)'</span><span class="p">)</span>
|
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<span class="c1">#this is equivalent to</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,oo],[1,oo],[1,oo]'))</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,0],[1,oo],[1,oo]'))</span>
|
||
<span class="c1">#prove(makesubs(formula,'[1,oo],[1,0],[1,oo]'))</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,0],[1,0],[1,oo]'))</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,oo],[1,oo],[1,0]'))</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,0],[1,oo],[1,0]'))</span>
|
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<span class="c1">#prove(makesubs(formula,'[1,oo],[1,0],[1,0]'))</span>
|
||
<span class="c1">#prove(makesubs(formula,'[1,0],[1,0],[1,0]'))</span>
|
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<span class="n">powerprove</span><span class="p">(</span><span class="n">formula</span><span class="p">)</span>
|
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</pre></div>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-184-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>c</mi><mo>&#x2212;</mo><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>&#x2212;</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>9</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>18</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>9</mn><mi>a</mi><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>&#x2212;</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>12</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>10</mn><mi>b</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>11</mn><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6245" style="width: 66.396em; display: inline-block;"><span style="display: inline-block; position: relative; width: 54.394em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1054.39em, 5.565em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-6246"><span style="display: inline-block; position: relative; width: 54.394em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1054.39em, 4.218em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-6247" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-6248"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6249" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6250"><span class="mrow" id="MathJax-Span-6251"><span class="mn" id="MathJax-Span-6252" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6253" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6254" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6255"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6256" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6257"><span class="mrow" id="MathJax-Span-6258"><span class="mn" id="MathJax-Span-6259" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6260" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-6261" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6262" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6263"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6264" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6265"><span class="mrow" id="MathJax-Span-6266"><span class="mn" id="MathJax-Span-6267" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6268" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6269" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6270" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6271"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6272" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6273"><span class="mrow" id="MathJax-Span-6274"><span class="mn" id="MathJax-Span-6275" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6276" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6277" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6278"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6279" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6280"><span class="mrow" id="MathJax-Span-6281"><span class="mn" id="MathJax-Span-6282" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6283" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-6284" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6285" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-6286"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6287" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6288"><span class="mrow" id="MathJax-Span-6289"><span class="mn" id="MathJax-Span-6290" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6291" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6292" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6293" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6294" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-6295"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6296" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6297"><span class="mrow" id="MathJax-Span-6298"><span class="mn" id="MathJax-Span-6299" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6300" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6301" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-6302" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-6303"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6304" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6305"><span class="mrow" id="MathJax-Span-6306"><span class="mn" id="MathJax-Span-6307" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6308" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6309" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6310" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msubsup" id="MathJax-Span-6311"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6312" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6313"><span class="mrow" id="MathJax-Span-6314"><span class="mn" id="MathJax-Span-6315" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6316" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6317" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="mi" id="MathJax-Span-6318" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mi" id="MathJax-Span-6319" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6320" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6321" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-6322" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-6323" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6324" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6325"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6326" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6327"><span class="mrow" id="MathJax-Span-6328"><span class="mn" id="MathJax-Span-6329" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6330" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6331" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6332"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6333" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6334"><span class="mrow" id="MathJax-Span-6335"><span class="mn" id="MathJax-Span-6336" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6337" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6338" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6339" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6340"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6341" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6342"><span class="mrow" id="MathJax-Span-6343"><span class="mn" id="MathJax-Span-6344" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6345" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6346" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-6347"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6348" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6349"><span class="mrow" id="MathJax-Span-6350"><span class="mn" id="MathJax-Span-6351" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6352" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6353" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6354" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6355" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-6356"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6357" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6358"><span class="mrow" id="MathJax-Span-6359"><span class="mn" id="MathJax-Span-6360" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6361" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6362" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-6363" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-6364" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-6365" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6366" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="mi" id="MathJax-Span-6367" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-6368" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6369" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6370"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6371" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6372"><span class="mrow" id="MathJax-Span-6373"><span class="mn" id="MathJax-Span-6374" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1005.04em, 4.218em, -999.997em); top: -2.632em; left: 0em;"><span class="mo" id="MathJax-Span-6375" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-6376" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6377"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6378" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-6379"><span class="mrow" id="MathJax-Span-6380"><span class="mn" id="MathJax-Span-6381" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6382" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6383" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="mi" id="MathJax-Span-6384" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.782em; border-left: 0px solid; width: 0px; height: 2.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>b</mi><mo>+</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>c</mi><mo>−</mo><mn>6</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>−</mo><mn>4</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>b</mi><mo>−</mo><mn>2</mn><msup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>9</mn><mi>a</mi><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>18</mn><mi>a</mi><mi>c</mi><mo>+</mo><mn>9</mn><mi>a</mi><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>c</mi><mo>−</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>3</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>c</mi><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>12</mn><mi>b</mi><mi>c</mi><mo>+</mo><mn>10</mn><mi>b</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>11</mn><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-184">4 a^{5} + 4 a^{4} b + 4 a^{4} c - 6 a^{4} - 4 a^{3} b - 2 a^{3} c + 4 a b^{3} - 9 a b^{2} + 4 a c^{2} - 18 a c + 9 a + 4 b^{4} + 4 b^{3} c - 6 b^{3} - 3 b^{2} c + 4 b c^{2} - 12 b c + 10 b + 4 c^{3} - 6 c^{2} + 11 c</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-185-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6385" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6386"><span class="mn" id="MathJax-Span-6387" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-185">1</script>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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_______________________
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<div class="output_area">
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-186-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>d</mi><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>e</mi><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6388" style="width: 16.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 13.879em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1013.88em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6389"><span class="mi" id="MathJax-Span-6390" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-6391" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6392" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6393" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6394" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-6395" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-6396" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-6397" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6398" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6399" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6400" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span><span class="mo" id="MathJax-Span-6401" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-6402" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-6403" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6404" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6405" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6406" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>d</mi><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>e</mi><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-186">a\to 1+d,b\to 1+e,c\to 1+f</script>
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<div class="prompt"></div>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-187-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>22</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>42</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>18</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>34</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>d</mi><mi>e</mi><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6407" style="width: 66.162em; display: inline-block;"><span style="display: inline-block; position: relative; width: 54.218em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1054.22em, 5.858em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-6408"><span style="display: inline-block; position: relative; width: 54.218em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1054.22em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-6409" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-6410"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6411" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6412"><span class="mrow" id="MathJax-Span-6413"><span class="mn" id="MathJax-Span-6414" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6415" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6416" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6417"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6418" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6419"><span class="mrow" id="MathJax-Span-6420"><span class="mn" id="MathJax-Span-6421" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6422" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6423" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6424" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6425"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6426" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6427"><span class="mrow" id="MathJax-Span-6428"><span class="mn" id="MathJax-Span-6429" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6430" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6431" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6432" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-6433"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6434" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6435"><span class="mrow" id="MathJax-Span-6436"><span class="mn" id="MathJax-Span-6437" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6438" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6439" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-6440"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6441" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6442"><span class="mrow" id="MathJax-Span-6443"><span class="mn" id="MathJax-Span-6444" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6445" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6446" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6447" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-6448"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6449" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6450"><span class="mrow" id="MathJax-Span-6451"><span class="mn" id="MathJax-Span-6452" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6453" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6454" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6455" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-6456"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6457" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6458"><span class="mrow" id="MathJax-Span-6459"><span class="mn" id="MathJax-Span-6460" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6461" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6462" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-6463"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6464" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6465"><span class="mrow" id="MathJax-Span-6466"><span class="mn" id="MathJax-Span-6467" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6468" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6469" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6470" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-6471"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6472" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6473"><span class="mrow" id="MathJax-Span-6474"><span class="mn" id="MathJax-Span-6475" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6476" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6477" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6478" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-6479"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6480" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6481"><span class="mrow" id="MathJax-Span-6482"><span class="mn" id="MathJax-Span-6483" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6484" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6485" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6486" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6487"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6488" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6489"><span class="mrow" id="MathJax-Span-6490"><span class="mn" id="MathJax-Span-6491" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6492" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6493" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-6494" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6495"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6496" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6497"><span class="mrow" id="MathJax-Span-6498"><span class="mn" id="MathJax-Span-6499" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6500" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-6501" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-6502" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-6503" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6504" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6505" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6506" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6507"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6508" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6509"><span class="mrow" id="MathJax-Span-6510"><span class="mn" id="MathJax-Span-6511" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6512" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6513" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6514"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6515" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6516"><span class="mrow" id="MathJax-Span-6517"><span class="mn" id="MathJax-Span-6518" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6519" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6520" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6521"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6522" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6523"><span class="mrow" id="MathJax-Span-6524"><span class="mn" id="MathJax-Span-6525" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6526" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6527" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6528" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-6529"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6530" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6531"><span class="mrow" id="MathJax-Span-6532"><span class="mn" id="MathJax-Span-6533" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1018.21em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-6534" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-6535" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-6536"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6537" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6538"><span class="mrow" id="MathJax-Span-6539"><span class="mn" id="MathJax-Span-6540" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6541" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6542" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6543" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-6544"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6545" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6546"><span class="mrow" id="MathJax-Span-6547"><span class="mn" id="MathJax-Span-6548" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6549" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6550" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6551" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-6552"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6553" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6554"><span class="mrow" id="MathJax-Span-6555"><span class="mn" id="MathJax-Span-6556" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6557" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6558" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-6559" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-6560" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6561" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6562" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6563"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6564" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6565"><span class="mrow" id="MathJax-Span-6566"><span class="mn" id="MathJax-Span-6567" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6568" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6569" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-6570"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6571" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6572"><span class="mrow" id="MathJax-Span-6573"><span class="mn" id="MathJax-Span-6574" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.139em; border-left: 0px solid; width: 0px; height: 3.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>22</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>42</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>18</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>34</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>d</mi><mi>e</mi><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-187">4 d^{5} + 4 d^{4} e + 4 d^{4} f + 22 d^{4} + 12 d^{3} e + 14 d^{3} f + 42 d^{3} + 12 d^{2} e + 18 d^{2} f + 34 d^{2} + 4 d e^{3} + 3 d e^{2} - 2 d e + 4 d f^{2} + 4 e^{4} + 4 e^{3} f + 18 e^{3} + 9 e^{2} f + 18 e^{2} + 4 e f^{2} + 2 e f + 4 f^{3} + 14 f^{2}</script>
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</div>
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||
</div>
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||
<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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status: 0
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</div>
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|
||
</div>
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||
<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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From weighted AM-GM inequality:
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</div>
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||
|
||
</div>
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|
||
<div class="output_area">
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||
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-188-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>d</mi><mi>e</mi><mo>&#x2264;</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6575" style="width: 7.321em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.975em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.98em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6576"><span class="mn" id="MathJax-Span-6577" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-6578" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-6579" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6580" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-6581" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6582" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6583"><span class="mrow" id="MathJax-Span-6584"><span class="mn" id="MathJax-Span-6585" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6586" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-6587" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6588" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6589"><span class="mrow" id="MathJax-Span-6590"><span class="mn" id="MathJax-Span-6591" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>d</mi><mi>e</mi><mo>≤</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-188">2 d e \le d^{2}+e^{2}</script>
|
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</div>
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||
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||
</div>
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||
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||
<div class="output_area">
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||
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||
<div class="prompt"></div>
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||
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||
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<div class="output_latex output_subarea ">
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||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display"><span class="MathJax MathJax_FullWidth" id="MathJax-Element-189-Frame" tabindex="0" style="position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>22</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>42</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>18</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>33</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>17</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6592" style="width: 100%; display: inline-block; min-width: 69.031em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.93em, 1056.56em, 5.858em, -999.997em); top: -3.978em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-6593"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1056.56em, 4.394em, -999.997em); top: -3.978em; left: 50%; margin-left: -28.276em;"><span class="mn" id="MathJax-Span-6594" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-6595" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-6596" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-6597"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6598" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6599"><span class="mrow" id="MathJax-Span-6600"><span class="mn" id="MathJax-Span-6601" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6603" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6604"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6605" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6606"><span class="mrow" id="MathJax-Span-6607"><span class="mn" id="MathJax-Span-6608" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6609" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6610" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6611" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6612"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6613" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6614"><span class="mrow" id="MathJax-Span-6615"><span class="mn" id="MathJax-Span-6616" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6617" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6619" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-6620"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6621" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6622"><span class="mrow" id="MathJax-Span-6623"><span class="mn" id="MathJax-Span-6624" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6625" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6626" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-6627"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6628" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6629"><span class="mrow" id="MathJax-Span-6630"><span class="mn" id="MathJax-Span-6631" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6632" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6633" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6634" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-6635"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6636" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6637"><span class="mrow" id="MathJax-Span-6638"><span class="mn" id="MathJax-Span-6639" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6640" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6641" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6642" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-6643"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6644" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6645"><span class="mrow" id="MathJax-Span-6646"><span class="mn" id="MathJax-Span-6647" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6648" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6649" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-6650"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6651" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6652"><span class="mrow" id="MathJax-Span-6653"><span class="mn" id="MathJax-Span-6654" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6655" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-6656" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6657" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-6658"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6659" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6660"><span class="mrow" id="MathJax-Span-6661"><span class="mn" id="MathJax-Span-6662" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6663" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6664" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6665" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="msubsup" id="MathJax-Span-6666"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6667" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6668"><span class="mrow" id="MathJax-Span-6669"><span class="mn" id="MathJax-Span-6670" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6671" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6672" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6673" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6674"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6675" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6676"><span class="mrow" id="MathJax-Span-6677"><span class="mn" id="MathJax-Span-6678" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6679" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6680" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-6681" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6682"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6683" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6684"><span class="mrow" id="MathJax-Span-6685"><span class="mn" id="MathJax-Span-6686" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6687" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6688" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6689" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-6690"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6691" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6692"><span class="mrow" id="MathJax-Span-6693"><span class="mn" id="MathJax-Span-6694" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6695" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6696" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6697"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6698" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6699"><span class="mrow" id="MathJax-Span-6700"><span class="mn" id="MathJax-Span-6701" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6702" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6703" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6704"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6705" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6706"><span class="mrow" id="MathJax-Span-6707"><span class="mn" id="MathJax-Span-6708" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6709" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6710" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6711" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-6712"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6713" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6714"><span class="mrow" id="MathJax-Span-6715"><span class="mn" id="MathJax-Span-6716" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6717" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6718" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-6719"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6720" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6721"><span class="mrow" id="MathJax-Span-6722"><span class="mn" id="MathJax-Span-6723" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6724" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1015.05em, 4.394em, -999.997em); top: -2.456em; left: 50%; margin-left: -7.491em;"><span class="mo" id="MathJax-Span-6725" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-6726" style="font-family: MathJax_Main; padding-left: 0.237em;">17</span><span class="msubsup" id="MathJax-Span-6727"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6728" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-6729"><span class="mrow" id="MathJax-Span-6730"><span class="mn" id="MathJax-Span-6731" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6732" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6733" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-6734" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="msubsup" id="MathJax-Span-6735"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6736" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6737"><span class="mrow" id="MathJax-Span-6738"><span class="mn" id="MathJax-Span-6739" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6740" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6741" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-6742" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mi" id="MathJax-Span-6743" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-6744" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6745" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6746"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6747" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6748"><span class="mrow" id="MathJax-Span-6749"><span class="mn" id="MathJax-Span-6750" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6751" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6752" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-6753"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6754" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.647em;"><span class="texatom" id="MathJax-Span-6755"><span class="mrow" id="MathJax-Span-6756"><span class="mn" id="MathJax-Span-6757" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.139em; border-left: 0px solid; width: 0px; height: 3.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>4</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>22</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>14</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>42</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>18</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>33</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>d</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>18</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>f</mi><mo>+</mo><mn>17</mn><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>e</mi><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>e</mi><mi>f</mi><mo>+</mo><mn>4</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-189"> 0 \le 4 d^{5}+4 d^{4} e+4 d^{4} f+22 d^{4}+12 d^{3} e+14 d^{3} f+42 d^{3}+12 d^{2} e+18 d^{2} f+33 d^{2}+4 d e^{3}+3 d e^{2}+4 d f^{2}+4 e^{4}+4 e^{3} f+18 e^{3}+9 e^{2} f+17 e^{2}+4 e f^{2}+2 e f+4 f^{3}+14 f^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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_______________________
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-190-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>g</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>h</mi><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>i</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6758" style="width: 18.972em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.518em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1015.46em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-6759"><span class="mi" id="MathJax-Span-6760" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-6761" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6762" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-6763"><span class="mrow" id="MathJax-Span-6764"><span class="mo" id="MathJax-Span-6765" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-6766" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-6767" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-6768" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6769" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-6770" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-6771" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-6772" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-6773" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6774" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6775" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6776" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">h</span><span class="mo" id="MathJax-Span-6777" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-6778" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-6779" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-6780" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-6781" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-6782" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">i</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>g</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>h</mi><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>i</mi></math></span></span><script type="math/tex" id="MathJax-Element-190">a\to 1/(1+g),b\to 1+h,c\to 1+i</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-191-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>14</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>15</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>h</mi><mi>i</mi><mo>+</mo><mn>6</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>10</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>74</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>78</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><mi>i</mi><mo>+</mo><mn>24</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>54</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>30</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>156</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>90</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>162</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mi>i</mi><mo>+</mo><mn>36</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>116</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>60</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>164</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>90</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>168</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mi>i</mi><mo>+</mo><mn>20</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>40</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>124</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>34</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>20</mn><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>86</mn><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>45</mn><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>87</mn><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><mi>g</mi><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>10</mn><mi>g</mi><mi>h</mi><mi>i</mi><mo>+</mo><mn>2</mn><mi>g</mi><mi>h</mi><mo>+</mo><mn>20</mn><mi>g</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><mi>g</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>18</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>18</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>h</mi><mi>i</mi><mo>+</mo><mn>4</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-6783" style="width: 69.207em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.736em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(6.97em, 1056.74em, 14.23em, -999.997em); top: -7.96em; left: 0em;"><span class="mrow" id="MathJax-Span-6784"><span style="display: inline-block; position: relative; width: 56.736em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1056.74em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-6785" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-6786"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6787" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6788"><span class="mrow" id="MathJax-Span-6789"><span class="mn" id="MathJax-Span-6790" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6791"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6792" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6793"><span class="mrow" id="MathJax-Span-6794"><span class="mn" id="MathJax-Span-6795" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6796" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6797" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6798"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6799" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6800"><span class="mrow" id="MathJax-Span-6801"><span class="mn" id="MathJax-Span-6802" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6803"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6804" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6805"><span class="mrow" id="MathJax-Span-6806"><span class="mn" id="MathJax-Span-6807" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6808" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6809" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6810" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-6811"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6812" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6813"><span class="mrow" id="MathJax-Span-6814"><span class="mn" id="MathJax-Span-6815" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6816"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6817" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6818"><span class="mrow" id="MathJax-Span-6819"><span class="mn" id="MathJax-Span-6820" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6821" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6822" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-6823"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6824" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6825"><span class="mrow" id="MathJax-Span-6826"><span class="mn" id="MathJax-Span-6827" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6828"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6829" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6830"><span class="mrow" id="MathJax-Span-6831"><span class="mn" id="MathJax-Span-6832" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6833" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6834" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6835" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="msubsup" id="MathJax-Span-6836"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6837" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6838"><span class="mrow" id="MathJax-Span-6839"><span class="mn" id="MathJax-Span-6840" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6841"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6842" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6843"><span class="mrow" id="MathJax-Span-6844"><span class="mn" id="MathJax-Span-6845" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6846" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6847" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6848"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6849" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6850"><span class="mrow" id="MathJax-Span-6851"><span class="mn" id="MathJax-Span-6852" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6853" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-6854"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6855" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-6856"><span class="mrow" id="MathJax-Span-6857"><span class="mn" id="MathJax-Span-6858" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6859" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6860" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-6861"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6862" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6863"><span class="mrow" id="MathJax-Span-6864"><span class="mn" id="MathJax-Span-6865" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6866" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-6867" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6868" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6869" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-6870"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6871" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6872"><span class="mrow" id="MathJax-Span-6873"><span class="mn" id="MathJax-Span-6874" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6875" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-6876" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6877" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-6878"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6879" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6880"><span class="mrow" id="MathJax-Span-6881"><span class="mn" id="MathJax-Span-6882" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6883"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6884" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-6885"><span class="mrow" id="MathJax-Span-6886"><span class="mn" id="MathJax-Span-6887" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6888" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6889" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-6890"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6891" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6892"><span class="mrow" id="MathJax-Span-6893"><span class="mn" id="MathJax-Span-6894" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6895"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6896" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-6897"><span class="mrow" id="MathJax-Span-6898"><span class="mn" id="MathJax-Span-6899" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6900" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6901" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-6902"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6903" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6904"><span class="mrow" id="MathJax-Span-6905"><span class="mn" id="MathJax-Span-6906" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6907" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6908" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6909" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-6910"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6911" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6912"><span class="mrow" id="MathJax-Span-6913"><span class="mn" id="MathJax-Span-6914" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6915" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6916" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-6917"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6918" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6919"><span class="mrow" id="MathJax-Span-6920"><span class="mn" id="MathJax-Span-6921" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6922"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6923" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6924"><span class="mrow" id="MathJax-Span-6925"><span class="mn" id="MathJax-Span-6926" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6927" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6928" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-6929"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6930" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6931"><span class="mrow" id="MathJax-Span-6932"><span class="mn" id="MathJax-Span-6933" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6934"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6935" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6936"><span class="mrow" id="MathJax-Span-6937"><span class="mn" id="MathJax-Span-6938" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6939" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6940" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6941" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-6942"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6943" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6944"><span class="mrow" id="MathJax-Span-6945"><span class="mn" id="MathJax-Span-6946" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6947"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6948" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6949"><span class="mrow" id="MathJax-Span-6950"><span class="mn" id="MathJax-Span-6951" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.75em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-6952" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-6953" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-6954"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6955" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6956"><span class="mrow" id="MathJax-Span-6957"><span class="mn" id="MathJax-Span-6958" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6959"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6960" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6961"><span class="mrow" id="MathJax-Span-6962"><span class="mn" id="MathJax-Span-6963" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6964" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6965" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6966" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-6967"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6968" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6969"><span class="mrow" id="MathJax-Span-6970"><span class="mn" id="MathJax-Span-6971" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-6972"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6973" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-6974"><span class="mrow" id="MathJax-Span-6975"><span class="mn" id="MathJax-Span-6976" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6977" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6978" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-6979"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6980" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6981"><span class="mrow" id="MathJax-Span-6982"><span class="mn" id="MathJax-Span-6983" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6984" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-6985"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6986" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-6987"><span class="mrow" id="MathJax-Span-6988"><span class="mn" id="MathJax-Span-6989" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-6990" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-6991" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-6992"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-6993" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-6994"><span class="mrow" id="MathJax-Span-6995"><span class="mn" id="MathJax-Span-6996" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-6997" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-6998" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-6999" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7000" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-7001"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7002" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7003"><span class="mrow" id="MathJax-Span-7004"><span class="mn" id="MathJax-Span-7005" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7006" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7007" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7008" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7009"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7010" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7011"><span class="mrow" id="MathJax-Span-7012"><span class="mn" id="MathJax-Span-7013" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7014"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7015" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7016"><span class="mrow" id="MathJax-Span-7017"><span class="mn" id="MathJax-Span-7018" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7019" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7020" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-7021"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7022" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7023"><span class="mrow" id="MathJax-Span-7024"><span class="mn" id="MathJax-Span-7025" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7026"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7027" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7028"><span class="mrow" id="MathJax-Span-7029"><span class="mn" id="MathJax-Span-7030" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7031" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7032" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-7033"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7034" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7035"><span class="mrow" id="MathJax-Span-7036"><span class="mn" id="MathJax-Span-7037" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7038" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7039" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7040" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7041"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7042" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7043"><span class="mrow" id="MathJax-Span-7044"><span class="mn" id="MathJax-Span-7045" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7046" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7047" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7048"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7049" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7050"><span class="mrow" id="MathJax-Span-7051"><span class="mn" id="MathJax-Span-7052" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7053"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7054" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7055"><span class="mrow" id="MathJax-Span-7056"><span class="mn" id="MathJax-Span-7057" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7058" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7059" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7060"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7061" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7062"><span class="mrow" id="MathJax-Span-7063"><span class="mn" id="MathJax-Span-7064" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7065"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7066" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7067"><span class="mrow" id="MathJax-Span-7068"><span class="mn" id="MathJax-Span-7069" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7070" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7071" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7072" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-7073"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7074" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7075"><span class="mrow" id="MathJax-Span-7076"><span class="mn" id="MathJax-Span-7077" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7078"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7079" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7080"><span class="mrow" id="MathJax-Span-7081"><span class="mn" id="MathJax-Span-7082" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7083" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7084" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-7085"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7086" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7087"><span class="mrow" id="MathJax-Span-7088"><span class="mn" id="MathJax-Span-7089" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7090"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7091" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7092"><span class="mrow" id="MathJax-Span-7093"><span class="mn" id="MathJax-Span-7094" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7095" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.98em, 4.394em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-7096" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7097" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-7098"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7099" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7100"><span class="mrow" id="MathJax-Span-7101"><span class="mn" id="MathJax-Span-7102" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7103"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7104" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7105"><span class="mrow" id="MathJax-Span-7106"><span class="mn" id="MathJax-Span-7107" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7108" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7109" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7110"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7111" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7112"><span class="mrow" id="MathJax-Span-7113"><span class="mn" id="MathJax-Span-7114" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7115" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7116"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7117" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7118"><span class="mrow" id="MathJax-Span-7119"><span class="mn" id="MathJax-Span-7120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7121" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7122" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7123"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7124" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7125"><span class="mrow" id="MathJax-Span-7126"><span class="mn" id="MathJax-Span-7127" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7128" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7129" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7130" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7131" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-7132"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7133" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7134"><span class="mrow" id="MathJax-Span-7135"><span class="mn" id="MathJax-Span-7136" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7137" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7138" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7139" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7140"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7141" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7142"><span class="mrow" id="MathJax-Span-7143"><span class="mn" id="MathJax-Span-7144" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7145"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7146" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7147"><span class="mrow" id="MathJax-Span-7148"><span class="mn" id="MathJax-Span-7149" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7150" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7151" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-7152"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7153" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7154"><span class="mrow" id="MathJax-Span-7155"><span class="mn" id="MathJax-Span-7156" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7157"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7158" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7159"><span class="mrow" id="MathJax-Span-7160"><span class="mn" id="MathJax-Span-7161" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7162" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7163" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7164"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7165" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7166"><span class="mrow" id="MathJax-Span-7167"><span class="mn" id="MathJax-Span-7168" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7169" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7170" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7171" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-7172"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7173" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7174"><span class="mrow" id="MathJax-Span-7175"><span class="mn" id="MathJax-Span-7176" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7177" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7178" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7179"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7180" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7181"><span class="mrow" id="MathJax-Span-7182"><span class="mn" id="MathJax-Span-7183" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7184"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7185" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7186"><span class="mrow" id="MathJax-Span-7187"><span class="mn" id="MathJax-Span-7188" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7189" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7190" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7191"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7192" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7193"><span class="mrow" id="MathJax-Span-7194"><span class="mn" id="MathJax-Span-7195" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7196"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7197" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7198"><span class="mrow" id="MathJax-Span-7199"><span class="mn" id="MathJax-Span-7200" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7201" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7202" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7203" style="font-family: MathJax_Main; padding-left: 0.237em;">164</span><span class="msubsup" id="MathJax-Span-7204"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7205" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7206"><span class="mrow" id="MathJax-Span-7207"><span class="mn" id="MathJax-Span-7208" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7209"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7210" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7211"><span class="mrow" id="MathJax-Span-7212"><span class="mn" id="MathJax-Span-7213" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7214" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7215" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-7216"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7217" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7218"><span class="mrow" id="MathJax-Span-7219"><span class="mn" id="MathJax-Span-7220" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7221"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7222" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7223"><span class="mrow" id="MathJax-Span-7224"><span class="mn" id="MathJax-Span-7225" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7226" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7227" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7228" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-7229"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7230" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7231"><span class="mrow" id="MathJax-Span-7232"><span class="mn" id="MathJax-Span-7233" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7234"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7235" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7236"><span class="mrow" id="MathJax-Span-7237"><span class="mn" id="MathJax-Span-7238" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.57em, 4.394em, -999.997em); top: 0.471em; left: 0em;"><span class="mo" id="MathJax-Span-7239" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7240" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7241"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7242" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7243"><span class="mrow" id="MathJax-Span-7244"><span class="mn" id="MathJax-Span-7245" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7246" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7247"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7248" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7249"><span class="mrow" id="MathJax-Span-7250"><span class="mn" id="MathJax-Span-7251" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7252" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7253" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7254"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7255" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7256"><span class="mrow" id="MathJax-Span-7257"><span class="mn" id="MathJax-Span-7258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7259" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7260" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7261" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7262" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7263"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7264" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7265"><span class="mrow" id="MathJax-Span-7266"><span class="mn" id="MathJax-Span-7267" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7268" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7269" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7270" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7271"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7272" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7273"><span class="mrow" id="MathJax-Span-7274"><span class="mn" id="MathJax-Span-7275" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7276"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7277" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7278"><span class="mrow" id="MathJax-Span-7279"><span class="mn" id="MathJax-Span-7280" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7281" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7282" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-7283"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7284" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7285"><span class="mrow" id="MathJax-Span-7286"><span class="mn" id="MathJax-Span-7287" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7288"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7289" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7290"><span class="mrow" id="MathJax-Span-7291"><span class="mn" id="MathJax-Span-7292" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7293" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7294" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-7295"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7296" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7297"><span class="mrow" id="MathJax-Span-7298"><span class="mn" id="MathJax-Span-7299" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7300" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7301" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7302" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-7303"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7304" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7305"><span class="mrow" id="MathJax-Span-7306"><span class="mn" id="MathJax-Span-7307" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7308" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7309" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7310" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7311"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7312" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7313"><span class="mrow" id="MathJax-Span-7314"><span class="mn" id="MathJax-Span-7315" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7316" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7317" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7318" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7319"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7320" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7321"><span class="mrow" id="MathJax-Span-7322"><span class="mn" id="MathJax-Span-7323" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7324" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7325" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7326" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="mi" id="MathJax-Span-7327" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7328"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7329" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7330"><span class="mrow" id="MathJax-Span-7331"><span class="mn" id="MathJax-Span-7332" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7333" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7334" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="mi" id="MathJax-Span-7335" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7336"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7337" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7338"><span class="mrow" id="MathJax-Span-7339"><span class="mn" id="MathJax-Span-7340" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7341" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7342" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7343" style="font-family: MathJax_Main; padding-left: 0.237em;">87</span><span class="mi" id="MathJax-Span-7344" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7345"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7346" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7347"><span class="mrow" id="MathJax-Span-7348"><span class="mn" id="MathJax-Span-7349" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7350" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7351" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7352" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-7353" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7354"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7355" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7356"><span class="mrow" id="MathJax-Span-7357"><span class="mn" id="MathJax-Span-7358" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7359" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7360" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="mi" id="MathJax-Span-7361" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-7362" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7363" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1036.36em, 4.394em, -999.997em); top: 1.935em; left: 0em;"><span class="mo" id="MathJax-Span-7364" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7365" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-7366" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-7367" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7368" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7369" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7370" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7371"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7372" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7373"><span class="mrow" id="MathJax-Span-7374"><span class="mn" id="MathJax-Span-7375" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7376" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7377" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-7378" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7379"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7380" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7381"><span class="mrow" id="MathJax-Span-7382"><span class="mn" id="MathJax-Span-7383" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7384" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7385" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7386"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7387" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7388"><span class="mrow" id="MathJax-Span-7389"><span class="mn" id="MathJax-Span-7390" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7391" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7392" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7393"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7394" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7395"><span class="mrow" id="MathJax-Span-7396"><span class="mn" id="MathJax-Span-7397" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7398" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7399" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7400" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-7401"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7402" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7403"><span class="mrow" id="MathJax-Span-7404"><span class="mn" id="MathJax-Span-7405" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7406" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7407" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-7408"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7409" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7410"><span class="mrow" id="MathJax-Span-7411"><span class="mn" id="MathJax-Span-7412" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7413" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7414" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7415" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-7416"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7417" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7418"><span class="mrow" id="MathJax-Span-7419"><span class="mn" id="MathJax-Span-7420" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7421" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7422" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-7423" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7424"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7425" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7426"><span class="mrow" id="MathJax-Span-7427"><span class="mn" id="MathJax-Span-7428" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7429" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7430" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-7431" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7432" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7433" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7434" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7435"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7436" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7437"><span class="mrow" id="MathJax-Span-7438"><span class="mn" id="MathJax-Span-7439" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7440" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7441" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-7442"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7443" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7444"><span class="mrow" id="MathJax-Span-7445"><span class="mn" id="MathJax-Span-7446" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 7.965em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -7.496em; border-left: 0px solid; width: 0px; height: 8.646em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>14</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>g</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>h</mi><mi>i</mi><mo>+</mo><mn>4</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-7447" style="width: 100%; display: inline-block; min-width: 67.977em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(7.146em, 1055.68em, 14.698em, -999.997em); top: -8.194em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-7448"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1054.34em, 4.394em, -999.997em); top: -3.978em; left: 50%; margin-left: -27.163em;"><span class="mn" id="MathJax-Span-7449" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-7450" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-7451" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-7452"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7453" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7454"><span class="mrow" id="MathJax-Span-7455"><span class="mn" id="MathJax-Span-7456" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7457"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7458" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7459"><span class="mrow" id="MathJax-Span-7460"><span class="mn" id="MathJax-Span-7461" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7462" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7463" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7464"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7465" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7466"><span class="mrow" id="MathJax-Span-7467"><span class="mn" id="MathJax-Span-7468" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7469"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7470" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7471"><span class="mrow" id="MathJax-Span-7472"><span class="mn" id="MathJax-Span-7473" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7474" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7475" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7476" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-7477"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7478" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7479"><span class="mrow" id="MathJax-Span-7480"><span class="mn" id="MathJax-Span-7481" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7482"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7483" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7484"><span class="mrow" id="MathJax-Span-7485"><span class="mn" id="MathJax-Span-7486" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7487" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7488" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-7489"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7490" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7491"><span class="mrow" id="MathJax-Span-7492"><span class="mn" id="MathJax-Span-7493" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7494"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7495" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7496"><span class="mrow" id="MathJax-Span-7497"><span class="mn" id="MathJax-Span-7498" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7499" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7500" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7501" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="msubsup" id="MathJax-Span-7502"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7503" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7504"><span class="mrow" id="MathJax-Span-7505"><span class="mn" id="MathJax-Span-7506" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7507"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7508" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7509"><span class="mrow" id="MathJax-Span-7510"><span class="mn" id="MathJax-Span-7511" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7512" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7513" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7514"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7515" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7516"><span class="mrow" id="MathJax-Span-7517"><span class="mn" id="MathJax-Span-7518" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7519" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7520"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7521" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7522"><span class="mrow" id="MathJax-Span-7523"><span class="mn" id="MathJax-Span-7524" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7525" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7526" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-7527"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7528" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7529"><span class="mrow" id="MathJax-Span-7530"><span class="mn" id="MathJax-Span-7531" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7532" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7533" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7534" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7535" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-7536"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7537" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7538"><span class="mrow" id="MathJax-Span-7539"><span class="mn" id="MathJax-Span-7540" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7541" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7542" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7543" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-7544"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7545" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7546"><span class="mrow" id="MathJax-Span-7547"><span class="mn" id="MathJax-Span-7548" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7549"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7550" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7551"><span class="mrow" id="MathJax-Span-7552"><span class="mn" id="MathJax-Span-7553" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7554" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7555" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-7556"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7557" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7558"><span class="mrow" id="MathJax-Span-7559"><span class="mn" id="MathJax-Span-7560" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7561"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7562" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7563"><span class="mrow" id="MathJax-Span-7564"><span class="mn" id="MathJax-Span-7565" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7566" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7567" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-7568"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7569" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7570"><span class="mrow" id="MathJax-Span-7571"><span class="mn" id="MathJax-Span-7572" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7573" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7574" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7575" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-7576"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7577" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7578"><span class="mrow" id="MathJax-Span-7579"><span class="mn" id="MathJax-Span-7580" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7581" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7582" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7583"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7584" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7585"><span class="mrow" id="MathJax-Span-7586"><span class="mn" id="MathJax-Span-7587" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7588"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7589" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7590"><span class="mrow" id="MathJax-Span-7591"><span class="mn" id="MathJax-Span-7592" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7593" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7594" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7595"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7596" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7597"><span class="mrow" id="MathJax-Span-7598"><span class="mn" id="MathJax-Span-7599" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7600"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7601" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7602"><span class="mrow" id="MathJax-Span-7603"><span class="mn" id="MathJax-Span-7604" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7605" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.46em, 4.394em, -999.997em); top: -2.456em; left: 50%; margin-left: -26.754em;"><span class="mo" id="MathJax-Span-7606" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7607" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-7608"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7609" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7610"><span class="mrow" id="MathJax-Span-7611"><span class="mn" id="MathJax-Span-7612" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7613"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7614" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7615"><span class="mrow" id="MathJax-Span-7616"><span class="mn" id="MathJax-Span-7617" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7619" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-7620"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7621" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7622"><span class="mrow" id="MathJax-Span-7623"><span class="mn" id="MathJax-Span-7624" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7625"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7626" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7627"><span class="mrow" id="MathJax-Span-7628"><span class="mn" id="MathJax-Span-7629" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7630" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7631" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7632" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-7633"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7634" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7635"><span class="mrow" id="MathJax-Span-7636"><span class="mn" id="MathJax-Span-7637" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7638"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7639" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7640"><span class="mrow" id="MathJax-Span-7641"><span class="mn" id="MathJax-Span-7642" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7643" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7644" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7645"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7646" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7647"><span class="mrow" id="MathJax-Span-7648"><span class="mn" id="MathJax-Span-7649" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7650" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7651"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7652" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7653"><span class="mrow" id="MathJax-Span-7654"><span class="mn" id="MathJax-Span-7655" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7656" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7657" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-7658"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7659" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7660"><span class="mrow" id="MathJax-Span-7661"><span class="mn" id="MathJax-Span-7662" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7663" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7664" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7665" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7666" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-7667"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7668" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7669"><span class="mrow" id="MathJax-Span-7670"><span class="mn" id="MathJax-Span-7671" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7672" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7673" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7674" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7675"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7676" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7677"><span class="mrow" id="MathJax-Span-7678"><span class="mn" id="MathJax-Span-7679" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7680"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7681" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7682"><span class="mrow" id="MathJax-Span-7683"><span class="mn" id="MathJax-Span-7684" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7685" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7686" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-7687"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7688" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7689"><span class="mrow" id="MathJax-Span-7690"><span class="mn" id="MathJax-Span-7691" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7692"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7693" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7694"><span class="mrow" id="MathJax-Span-7695"><span class="mn" id="MathJax-Span-7696" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7697" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7698" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-7699"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7700" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7701"><span class="mrow" id="MathJax-Span-7702"><span class="mn" id="MathJax-Span-7703" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7704" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7705" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7706" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7707"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7708" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7709"><span class="mrow" id="MathJax-Span-7710"><span class="mn" id="MathJax-Span-7711" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7712" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7713" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7714"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7715" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7716"><span class="mrow" id="MathJax-Span-7717"><span class="mn" id="MathJax-Span-7718" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7719"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7720" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7721"><span class="mrow" id="MathJax-Span-7722"><span class="mn" id="MathJax-Span-7723" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7724" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7725" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7726"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7727" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7728"><span class="mrow" id="MathJax-Span-7729"><span class="mn" id="MathJax-Span-7730" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7731"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7732" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7733"><span class="mrow" id="MathJax-Span-7734"><span class="mn" id="MathJax-Span-7735" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7736" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7737" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7738" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-7739"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7740" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7741"><span class="mrow" id="MathJax-Span-7742"><span class="mn" id="MathJax-Span-7743" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7744"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7745" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7746"><span class="mrow" id="MathJax-Span-7747"><span class="mn" id="MathJax-Span-7748" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.74em, 4.394em, -999.997em); top: -0.934em; left: 50%; margin-left: -27.398em;"><span class="mo" id="MathJax-Span-7749" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7750" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-7751"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7752" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7753"><span class="mrow" id="MathJax-Span-7754"><span class="mn" id="MathJax-Span-7755" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7756"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7757" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7758"><span class="mrow" id="MathJax-Span-7759"><span class="mn" id="MathJax-Span-7760" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7761" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7762" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7763" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-7764"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7765" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7766"><span class="mrow" id="MathJax-Span-7767"><span class="mn" id="MathJax-Span-7768" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7769"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7770" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7771"><span class="mrow" id="MathJax-Span-7772"><span class="mn" id="MathJax-Span-7773" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7774" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7775" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7776"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7777" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7778"><span class="mrow" id="MathJax-Span-7779"><span class="mn" id="MathJax-Span-7780" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7781" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7782"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7783" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7784"><span class="mrow" id="MathJax-Span-7785"><span class="mn" id="MathJax-Span-7786" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7787" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7788" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7789"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7790" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7791"><span class="mrow" id="MathJax-Span-7792"><span class="mn" id="MathJax-Span-7793" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7794" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7795" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7796" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7797" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-7798"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7799" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7800"><span class="mrow" id="MathJax-Span-7801"><span class="mn" id="MathJax-Span-7802" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7803" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7804" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7805" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7806"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7807" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7808"><span class="mrow" id="MathJax-Span-7809"><span class="mn" id="MathJax-Span-7810" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7811"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7812" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7813"><span class="mrow" id="MathJax-Span-7814"><span class="mn" id="MathJax-Span-7815" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7816" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7817" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-7818"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7819" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7820"><span class="mrow" id="MathJax-Span-7821"><span class="mn" id="MathJax-Span-7822" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7823"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7824" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7825"><span class="mrow" id="MathJax-Span-7826"><span class="mn" id="MathJax-Span-7827" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7828" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7829" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7830"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7831" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7832"><span class="mrow" id="MathJax-Span-7833"><span class="mn" id="MathJax-Span-7834" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7835" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7836" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7837" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-7838"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7839" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7840"><span class="mrow" id="MathJax-Span-7841"><span class="mn" id="MathJax-Span-7842" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7843" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7844" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7845"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7846" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7847"><span class="mrow" id="MathJax-Span-7848"><span class="mn" id="MathJax-Span-7849" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7850"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7851" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7852"><span class="mrow" id="MathJax-Span-7853"><span class="mn" id="MathJax-Span-7854" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7855" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7856" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7857"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7858" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7859"><span class="mrow" id="MathJax-Span-7860"><span class="mn" id="MathJax-Span-7861" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7862"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7863" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7864"><span class="mrow" id="MathJax-Span-7865"><span class="mn" id="MathJax-Span-7866" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7867" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7868" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7869" style="font-family: MathJax_Main; padding-left: 0.237em;">164</span><span class="msubsup" id="MathJax-Span-7870"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7871" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7872"><span class="mrow" id="MathJax-Span-7873"><span class="mn" id="MathJax-Span-7874" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7875"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7876" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7877"><span class="mrow" id="MathJax-Span-7878"><span class="mn" id="MathJax-Span-7879" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7880" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7881" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-7882"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7883" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7884"><span class="mrow" id="MathJax-Span-7885"><span class="mn" id="MathJax-Span-7886" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7887"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7888" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7889"><span class="mrow" id="MathJax-Span-7890"><span class="mn" id="MathJax-Span-7891" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7892" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.68em, 4.394em, -999.997em); top: 0.588em; left: 50%; margin-left: -27.807em;"><span class="mo" id="MathJax-Span-7893" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-7894" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-7895"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7896" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7897"><span class="mrow" id="MathJax-Span-7898"><span class="mn" id="MathJax-Span-7899" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7900"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7901" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7902"><span class="mrow" id="MathJax-Span-7903"><span class="mn" id="MathJax-Span-7904" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7905" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7906" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7907"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7908" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7909"><span class="mrow" id="MathJax-Span-7910"><span class="mn" id="MathJax-Span-7911" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7912" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-7913"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7914" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7915"><span class="mrow" id="MathJax-Span-7916"><span class="mn" id="MathJax-Span-7917" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7918" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7919" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7920"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7921" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7922"><span class="mrow" id="MathJax-Span-7923"><span class="mn" id="MathJax-Span-7924" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7925" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-7926" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7927" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7928" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-7929"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7930" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7931"><span class="mrow" id="MathJax-Span-7932"><span class="mn" id="MathJax-Span-7933" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7934" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-7935" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7936" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-7937"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7938" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7939"><span class="mrow" id="MathJax-Span-7940"><span class="mn" id="MathJax-Span-7941" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7942"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7943" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7944"><span class="mrow" id="MathJax-Span-7945"><span class="mn" id="MathJax-Span-7946" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7947" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7948" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-7949"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7950" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7951"><span class="mrow" id="MathJax-Span-7952"><span class="mn" id="MathJax-Span-7953" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-7954"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7955" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-7956"><span class="mrow" id="MathJax-Span-7957"><span class="mn" id="MathJax-Span-7958" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7959" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7960" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-7961"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7962" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7963"><span class="mrow" id="MathJax-Span-7964"><span class="mn" id="MathJax-Span-7965" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7966" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7967" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7968" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-7969"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7970" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-7971"><span class="mrow" id="MathJax-Span-7972"><span class="mn" id="MathJax-Span-7973" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7974" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7975" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7976" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7977"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7978" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7979"><span class="mrow" id="MathJax-Span-7980"><span class="mn" id="MathJax-Span-7981" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7982" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7983" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-7984" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7985"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7986" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7987"><span class="mrow" id="MathJax-Span-7988"><span class="mn" id="MathJax-Span-7989" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-7990" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-7991" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-7992" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="mi" id="MathJax-Span-7993" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-7994"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-7995" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-7996"><span class="mrow" id="MathJax-Span-7997"><span class="mn" id="MathJax-Span-7998" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-7999" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8000" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="mi" id="MathJax-Span-8001" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-8002"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8003" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8004"><span class="mrow" id="MathJax-Span-8005"><span class="mn" id="MathJax-Span-8006" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8007" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-8008" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8009" style="font-family: MathJax_Main; padding-left: 0.237em;">87</span><span class="mi" id="MathJax-Span-8010" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-8011"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8012" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8013"><span class="mrow" id="MathJax-Span-8014"><span class="mn" id="MathJax-Span-8015" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8016" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8017" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-8018" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-8019" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-8020"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8021" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8022"><span class="mrow" id="MathJax-Span-8023"><span class="mn" id="MathJax-Span-8024" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1040.05em, 4.394em, -999.997em); top: 2.111em; left: 50%; margin-left: -20.02em;"><span class="mo" id="MathJax-Span-8025" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8026" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="mi" id="MathJax-Span-8027" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-8028" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-8029" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-8030" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8031" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-8032" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-8033" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-8034" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8035" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-8036" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-8037"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8038" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8039"><span class="mrow" id="MathJax-Span-8040"><span class="mn" id="MathJax-Span-8041" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8042" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8043" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-8044" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-8045"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8046" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8047"><span class="mrow" id="MathJax-Span-8048"><span class="mn" id="MathJax-Span-8049" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8050" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8051" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8052"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8053" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8054"><span class="mrow" id="MathJax-Span-8055"><span class="mn" id="MathJax-Span-8056" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8057" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8058" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8059"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8060" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8061"><span class="mrow" id="MathJax-Span-8062"><span class="mn" id="MathJax-Span-8063" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8064" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-8065" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8066" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8067"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8068" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8069"><span class="mrow" id="MathJax-Span-8070"><span class="mn" id="MathJax-Span-8071" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8072" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8073" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-8074"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8075" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8076"><span class="mrow" id="MathJax-Span-8077"><span class="mn" id="MathJax-Span-8078" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8079" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-8080" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8081" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8082"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8083" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-8084"><span class="mrow" id="MathJax-Span-8085"><span class="mn" id="MathJax-Span-8086" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8087" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8088" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-8089" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="msubsup" id="MathJax-Span-8090"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8091" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8092"><span class="mrow" id="MathJax-Span-8093"><span class="mn" id="MathJax-Span-8094" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8095" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8096" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-8097" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mi" id="MathJax-Span-8098" style="font-family: MathJax_Math; font-style: italic;">i</span><span class="mo" id="MathJax-Span-8099" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8100" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8101"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8102" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8103"><span class="mrow" id="MathJax-Span-8104"><span class="mn" id="MathJax-Span-8105" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8106" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8107" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-8108"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8109" style="font-family: MathJax_Math; font-style: italic;">i</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-8110"><span class="mrow" id="MathJax-Span-8111"><span class="mn" id="MathJax-Span-8112" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 8.2em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -7.782em; border-left: 0px solid; width: 0px; height: 8.932em;"></span></span></nobr><span class="MJX_Assistive_MathML 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>10</mn><mi>g</mi><mi>h</mi><mi>i</mi><mo>+</mo><mn>2</mn><mi>g</mi><mi>h</mi><mo>+</mo><mn>20</mn><mi>g</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><mi>g</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>18</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>i</mi><mo>+</mo><mn>18</mn><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>h</mi><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>h</mi><mi>i</mi><mo>+</mo><mn>4</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-192"> 0 \le 4 g^{5} h^{4}+4 g^{5} h^{3} i+14 g^{5} h^{3}+9 g^{5} h^{2} i+15 g^{5} h^{2}+4 g^{5} h i^{2}+2 g^{5} h i+6 g^{5} h+4 g^{5} i^{3}+10 g^{5} i^{2}+8 g^{5} i+10 g^{5}+20 g^{4} h^{4}+20 g^{4} h^{3} i+74 g^{4} h^{3}+45 g^{4} h^{2} i+78 g^{4} h^{2}+20 g^{4} h i^{2}+10 g^{4} h i+24 g^{4} h+20 g^{4} i^{3}+54 g^{4} i^{2}+30 g^{4} i+40 g^{4}+40 g^{3} h^{4}+40 g^{3} h^{3} i+156 g^{3} h^{3}+90 g^{3} h^{2} i+162 g^{3} h^{2}+40 g^{3} h i^{2}+20 g^{3} h i+36 g^{3} h+40 g^{3} i^{3}+116 g^{3} i^{2}+40 g^{3} i+60 g^{3}+40 g^{2} h^{4}+40 g^{2} h^{3} i+164 g^{2} h^{3}+90 g^{2} h^{2} i+168 g^{2} h^{2}+40 g^{2} h i^{2}+20 g^{2} h i+20 g^{2} h+40 g^{2} i^{3}+124 g^{2} i^{2}+18 g^{2} i+34 g^{2}+20 g h^{4}+20 g h^{3} i+86 g h^{3}+45 g h^{2} i+87 g h^{2}+20 g h i^{2}+10 g h i+2 g h+20 g i^{3}+66 g i^{2}+4 h^{4}+4 h^{3} i+18 h^{3}+9 h^{2} i+18 h^{2}+4 h i^{2}+2 h i+4 i^{3}+14 i^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-193-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>j</mi><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>k</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>l</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-8113" style="width: 18.738em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.343em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1015.28em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-8114"><span class="mi" id="MathJax-Span-8115" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-8116" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-8117" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-8118" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-8119" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">j</span><span class="mo" id="MathJax-Span-8120" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-8121" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-8122" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-8123" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-8124"><span class="mrow" id="MathJax-Span-8125"><span class="mo" id="MathJax-Span-8126" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-8127" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-8128" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-8129" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-8130" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">k</span><span class="mo" id="MathJax-Span-8131" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-8132" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-8133" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-8134" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-8135" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-8136" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-8137" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">l</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>j</mi><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>k</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>l</mi></math></span></span><script type="math/tex" id="MathJax-Element-193">a\to 1+j,b\to 1/(1+k),c\to 1+l</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-194-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>76</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>120</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>84</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>22</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>30</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>56</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>132</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>216</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>56</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>156</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>14</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>42</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>22</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>100</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>108</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>168</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>124</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>34</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>j</mi><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>j</mi><mi>k</mi><mo>+</mo><mn>4</mn><mi>j</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>4</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>44</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>k</mi><mi>l</mi><mo>+</mo><mn>4</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-8138" style="width: 68.504em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.15em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(6.853em, 1056.15em, 13.996em, -999.997em); top: -7.843em; left: 0em;"><span class="mrow" id="MathJax-Span-8139"><span style="display: inline-block; position: relative; width: 56.15em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1055.21em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-8140" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-8141"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8142" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8143"><span class="mrow" id="MathJax-Span-8144"><span class="mn" id="MathJax-Span-8145" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8146"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8147" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8148"><span class="mrow" id="MathJax-Span-8149"><span class="mn" id="MathJax-Span-8150" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8151" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8152" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8153"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8154" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8155"><span class="mrow" id="MathJax-Span-8156"><span class="mn" id="MathJax-Span-8157" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8158"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8159" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8160"><span class="mrow" id="MathJax-Span-8161"><span class="mn" id="MathJax-Span-8162" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8163" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8164" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-8165"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8166" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8167"><span class="mrow" id="MathJax-Span-8168"><span class="mn" id="MathJax-Span-8169" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8170"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8171" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8172"><span class="mrow" id="MathJax-Span-8173"><span class="mn" id="MathJax-Span-8174" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8175" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8176" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8177"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8178" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8179"><span class="mrow" id="MathJax-Span-8180"><span class="mn" id="MathJax-Span-8181" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8182" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8183" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8184" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8185"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8186" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8187"><span class="mrow" id="MathJax-Span-8188"><span class="mn" id="MathJax-Span-8189" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8190" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8191" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8192"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8193" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8194"><span class="mrow" id="MathJax-Span-8195"><span class="mn" id="MathJax-Span-8196" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8197"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8198" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8199"><span class="mrow" id="MathJax-Span-8200"><span class="mn" id="MathJax-Span-8201" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8202" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8203" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8204" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8205"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8206" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8207"><span class="mrow" id="MathJax-Span-8208"><span class="mn" id="MathJax-Span-8209" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8210"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8211" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8212"><span class="mrow" id="MathJax-Span-8213"><span class="mn" id="MathJax-Span-8214" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8215" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8216" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8217"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8218" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8219"><span class="mrow" id="MathJax-Span-8220"><span class="mn" id="MathJax-Span-8221" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8222"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8223" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8224"><span class="mrow" id="MathJax-Span-8225"><span class="mn" id="MathJax-Span-8226" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8227" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8228" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8229" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-8230"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8231" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8232"><span class="mrow" id="MathJax-Span-8233"><span class="mn" id="MathJax-Span-8234" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8235"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8236" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8237"><span class="mrow" id="MathJax-Span-8238"><span class="mn" id="MathJax-Span-8239" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8240" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8241" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-8242"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8243" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8244"><span class="mrow" id="MathJax-Span-8245"><span class="mn" id="MathJax-Span-8246" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8247"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8248" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8249"><span class="mrow" id="MathJax-Span-8250"><span class="mn" id="MathJax-Span-8251" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8252" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8253" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8254" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-8255"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8256" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8257"><span class="mrow" id="MathJax-Span-8258"><span class="mn" id="MathJax-Span-8259" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8260"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8261" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8262"><span class="mrow" id="MathJax-Span-8263"><span class="mn" id="MathJax-Span-8264" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8265" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8266" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8267"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8268" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8269"><span class="mrow" id="MathJax-Span-8270"><span class="mn" id="MathJax-Span-8271" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8272" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8273" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8274" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8275" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-8276"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8277" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8278"><span class="mrow" id="MathJax-Span-8279"><span class="mn" id="MathJax-Span-8280" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8281" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8282" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8283" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8284"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8285" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8286"><span class="mrow" id="MathJax-Span-8287"><span class="mn" id="MathJax-Span-8288" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8289" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8290" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8291" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-8292"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8293" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8294"><span class="mrow" id="MathJax-Span-8295"><span class="mn" id="MathJax-Span-8296" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.11em, 4.335em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-8297" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8298" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-8299"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8300" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8301"><span class="mrow" id="MathJax-Span-8302"><span class="mn" id="MathJax-Span-8303" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8304"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8305" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8306"><span class="mrow" id="MathJax-Span-8307"><span class="mn" id="MathJax-Span-8308" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8309" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8310" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8311" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-8312"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8313" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8314"><span class="mrow" id="MathJax-Span-8315"><span class="mn" id="MathJax-Span-8316" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8317"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8318" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8319"><span class="mrow" id="MathJax-Span-8320"><span class="mn" id="MathJax-Span-8321" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8322" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8323" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-8324"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8325" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8326"><span class="mrow" id="MathJax-Span-8327"><span class="mn" id="MathJax-Span-8328" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8329"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8330" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8331"><span class="mrow" id="MathJax-Span-8332"><span class="mn" id="MathJax-Span-8333" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8334" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8335" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8336" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-8337"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8338" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8339"><span class="mrow" id="MathJax-Span-8340"><span class="mn" id="MathJax-Span-8341" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8342"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8343" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8344"><span class="mrow" id="MathJax-Span-8345"><span class="mn" id="MathJax-Span-8346" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8347" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8348" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-8349"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8350" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8351"><span class="mrow" id="MathJax-Span-8352"><span class="mn" id="MathJax-Span-8353" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8354"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8355" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8356"><span class="mrow" id="MathJax-Span-8357"><span class="mn" id="MathJax-Span-8358" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8359" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8360" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8361" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-8362"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8363" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8364"><span class="mrow" id="MathJax-Span-8365"><span class="mn" id="MathJax-Span-8366" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8367"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8368" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8369"><span class="mrow" id="MathJax-Span-8370"><span class="mn" id="MathJax-Span-8371" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8372" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8373" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-8374"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8375" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8376"><span class="mrow" id="MathJax-Span-8377"><span class="mn" id="MathJax-Span-8378" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8379" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8380" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8381" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8382" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-8383"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8384" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8385"><span class="mrow" id="MathJax-Span-8386"><span class="mn" id="MathJax-Span-8387" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8388" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8389" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8390" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-8391"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8392" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8393"><span class="mrow" id="MathJax-Span-8394"><span class="mn" id="MathJax-Span-8395" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8396" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8397" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8398" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-8399"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8400" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8401"><span class="mrow" id="MathJax-Span-8402"><span class="mn" id="MathJax-Span-8403" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8404" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8405" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8406"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8407" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8408"><span class="mrow" id="MathJax-Span-8409"><span class="mn" id="MathJax-Span-8410" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8411"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8412" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8413"><span class="mrow" id="MathJax-Span-8414"><span class="mn" id="MathJax-Span-8415" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8416" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8417" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8418" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-8419"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8420" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8421"><span class="mrow" id="MathJax-Span-8422"><span class="mn" id="MathJax-Span-8423" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8424"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8425" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8426"><span class="mrow" id="MathJax-Span-8427"><span class="mn" id="MathJax-Span-8428" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8429" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8430" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-8431"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8432" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8433"><span class="mrow" id="MathJax-Span-8434"><span class="mn" id="MathJax-Span-8435" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8436"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8437" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8438"><span class="mrow" id="MathJax-Span-8439"><span class="mn" id="MathJax-Span-8440" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8441" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.15em, 4.335em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-8442" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8443" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-8444"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8445" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8446"><span class="mrow" id="MathJax-Span-8447"><span class="mn" id="MathJax-Span-8448" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8449"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8450" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8451"><span class="mrow" id="MathJax-Span-8452"><span class="mn" id="MathJax-Span-8453" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8454" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8455" style="font-family: MathJax_Main; padding-left: 0.237em;">108</span><span class="msubsup" id="MathJax-Span-8456"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8457" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8458"><span class="mrow" id="MathJax-Span-8459"><span class="mn" id="MathJax-Span-8460" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8461"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8462" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8463"><span class="mrow" id="MathJax-Span-8464"><span class="mn" id="MathJax-Span-8465" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8466" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8467" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8468" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-8469"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8470" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8471"><span class="mrow" id="MathJax-Span-8472"><span class="mn" id="MathJax-Span-8473" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8474"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8475" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8476"><span class="mrow" id="MathJax-Span-8477"><span class="mn" id="MathJax-Span-8478" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8479" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8480" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-8481"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8482" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8483"><span class="mrow" id="MathJax-Span-8484"><span class="mn" id="MathJax-Span-8485" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8486" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8487" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8488" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8489" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-8490"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8491" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8492"><span class="mrow" id="MathJax-Span-8493"><span class="mn" id="MathJax-Span-8494" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8495" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8496" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8497" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8498"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8499" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8500"><span class="mrow" id="MathJax-Span-8501"><span class="mn" id="MathJax-Span-8502" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8503" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8504" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8505" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-8506"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8507" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8508"><span class="mrow" id="MathJax-Span-8509"><span class="mn" id="MathJax-Span-8510" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8511" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8512" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-8513" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8514"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8515" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8516"><span class="mrow" id="MathJax-Span-8517"><span class="mn" id="MathJax-Span-8518" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8519"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8520" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8521"><span class="mrow" id="MathJax-Span-8522"><span class="mn" id="MathJax-Span-8523" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8524" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-8525" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">j</span><span class="msubsup" id="MathJax-Span-8526"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8527" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8528"><span class="mrow" id="MathJax-Span-8529"><span class="mn" id="MathJax-Span-8530" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8531" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8532" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-8533" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8534"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8535" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8536"><span class="mrow" id="MathJax-Span-8537"><span class="mn" id="MathJax-Span-8538" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8539"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8540" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8541"><span class="mrow" id="MathJax-Span-8542"><span class="mn" id="MathJax-Span-8543" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8544" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8545" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-8546" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8547"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8548" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8549"><span class="mrow" id="MathJax-Span-8550"><span class="mn" id="MathJax-Span-8551" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8552" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8553" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-8554" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8555"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8556" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8557"><span class="mrow" id="MathJax-Span-8558"><span class="mn" id="MathJax-Span-8559" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8560"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8561" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8562"><span class="mrow" id="MathJax-Span-8563"><span class="mn" id="MathJax-Span-8564" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8565" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8566" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-8567" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8568"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8569" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8570"><span class="mrow" id="MathJax-Span-8571"><span class="mn" id="MathJax-Span-8572" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8573" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8574" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-8575" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="mi" id="MathJax-Span-8576" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-8577"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8578" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8579"><span class="mrow" id="MathJax-Span-8580"><span class="mn" id="MathJax-Span-8581" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8582" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8583" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-8584" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="mi" id="MathJax-Span-8585" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.86em, 4.335em, -999.997em); top: 0.471em; left: 0em;"><span class="mo" id="MathJax-Span-8586" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8587" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-8588" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-8589"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8590" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8591"><span class="mrow" id="MathJax-Span-8592"><span class="mn" id="MathJax-Span-8593" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8594" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8595" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8596"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8597" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8598"><span class="mrow" id="MathJax-Span-8599"><span class="mn" id="MathJax-Span-8600" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8601"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8602" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8603"><span class="mrow" id="MathJax-Span-8604"><span class="mn" id="MathJax-Span-8605" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8606" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8607" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-8608"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8609" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8610"><span class="mrow" id="MathJax-Span-8611"><span class="mn" id="MathJax-Span-8612" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8613"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8614" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8615"><span class="mrow" id="MathJax-Span-8616"><span class="mn" id="MathJax-Span-8617" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8619" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-8620"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8621" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8622"><span class="mrow" id="MathJax-Span-8623"><span class="mn" id="MathJax-Span-8624" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8625" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8626" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8627" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8628"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8629" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8630"><span class="mrow" id="MathJax-Span-8631"><span class="mn" id="MathJax-Span-8632" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8633" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8634" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8635"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8636" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8637"><span class="mrow" id="MathJax-Span-8638"><span class="mn" id="MathJax-Span-8639" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8640"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8641" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8642"><span class="mrow" id="MathJax-Span-8643"><span class="mn" id="MathJax-Span-8644" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8645" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8646" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-8647"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8648" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8649"><span class="mrow" id="MathJax-Span-8650"><span class="mn" id="MathJax-Span-8651" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8652"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8653" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8654"><span class="mrow" id="MathJax-Span-8655"><span class="mn" id="MathJax-Span-8656" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8657" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8658" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-8659"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8660" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8661"><span class="mrow" id="MathJax-Span-8662"><span class="mn" id="MathJax-Span-8663" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8664" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8665" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8666" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8667"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8668" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8669"><span class="mrow" id="MathJax-Span-8670"><span class="mn" id="MathJax-Span-8671" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8672" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8673" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-8674"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8675" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8676"><span class="mrow" id="MathJax-Span-8677"><span class="mn" id="MathJax-Span-8678" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8679"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8680" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8681"><span class="mrow" id="MathJax-Span-8682"><span class="mn" id="MathJax-Span-8683" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8684" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8685" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-8686"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8687" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8688"><span class="mrow" id="MathJax-Span-8689"><span class="mn" id="MathJax-Span-8690" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8691"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8692" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8693"><span class="mrow" id="MathJax-Span-8694"><span class="mn" id="MathJax-Span-8695" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8696" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8697" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-8698"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8699" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8700"><span class="mrow" id="MathJax-Span-8701"><span class="mn" id="MathJax-Span-8702" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8703" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8704" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8705" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8706"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8707" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8708"><span class="mrow" id="MathJax-Span-8709"><span class="mn" id="MathJax-Span-8710" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8711" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8712" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-8713" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-8714"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8715" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8716"><span class="mrow" id="MathJax-Span-8717"><span class="mn" id="MathJax-Span-8718" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8719" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8720" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="mi" id="MathJax-Span-8721" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-8722"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8723" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8724"><span class="mrow" id="MathJax-Span-8725"><span class="mn" id="MathJax-Span-8726" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8727" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-8728" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-8729" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8730" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8731" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8732" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8733"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8734" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8735"><span class="mrow" id="MathJax-Span-8736"><span class="mn" id="MathJax-Span-8737" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1002.75em, 4.218em, -999.997em); top: 1.935em; left: 0em;"><span class="mo" id="MathJax-Span-8738" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8739" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-8740"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8741" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8742"><span class="mrow" id="MathJax-Span-8743"><span class="mn" id="MathJax-Span-8744" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span 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56 j^{3} k^{3} l + 132 j^{3} k^{3} + 84 j^{3} k^{2} l + 216 j^{3} k^{2} + 56 j^{3} k l + 156 j^{3} k + 14 j^{3} l + 42 j^{3} + 18 j^{2} k^{4} l + 22 j^{2} k^{4} + 72 j^{2} k^{3} l + 100 j^{2} k^{3} + 108 j^{2} k^{2} l + 168 j^{2} k^{2} + 72 j^{2} k l + 124 j^{2} k + 18 j^{2} l + 34 j^{2} + 4 j k^{4} l^{2} + j k^{4} + 16 j k^{3} l^{2} + 8 j k^{3} + 24 j k^{2} l^{2} + 9 j k^{2} + 16 j k l^{2} + 2 j k + 4 j l^{2} + 4 k^{4} l^{3} + 10 k^{4} l^{2} + 3 k^{4} l + 4 k^{4} + 16 k^{3} l^{3} + 44 k^{3} l^{2} + 8 k^{3} l + 18 k^{3} + 24 k^{2} l^{3} + 72 k^{2} l^{2} + 3 k^{2} l + 18 k^{2} + 16 k l^{3} + 52 k l^{2} - 2 k l + 4 l^{3} + 14 l^{2}</script>
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status: 0
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From weighted AM-GM inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-195-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>k</mi><mi>l</mi><mo>&#x2264;</mo><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-8745" style="width: 6.794em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.565em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.57em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-8746"><span class="mn" id="MathJax-Span-8747" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-8748" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8749" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8750" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-8751" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8752" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8753"><span class="mrow" id="MathJax-Span-8754"><span class="mn" id="MathJax-Span-8755" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8756" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-8757" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8758" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-8759"><span class="mrow" id="MathJax-Span-8760"><span class="mn" id="MathJax-Span-8761" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>k</mi><mi>l</mi><mo>≤</mo><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-195">2 k l \le k^{2}+l^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display"><span class="MathJax MathJax_FullWidth" id="MathJax-Element-196-Frame" tabindex="0" style="position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>76</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>120</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>84</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>22</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>30</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>56</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>132</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>216</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>56</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>156</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>14</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>42</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>22</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>100</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>108</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>168</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>k</mi><mi>l</mi><mo>+</mo><mn>124</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>18</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>34</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>j</mi><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>j</mi><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>j</mi><mi>k</mi><mo>+</mo><mn>4</mn><mi>j</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>4</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>44</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>17</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>13</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-8762" style="width: 100%; display: inline-block; min-width: 68.68em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(5.624em, 1056.27em, 11.654em, -999.997em); top: -6.672em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-8763"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1053.98em, 4.335em, -999.997em); top: -3.978em; left: 50%; margin-left: -26.988em;"><span class="mn" id="MathJax-Span-8764" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-8765" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-8766" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-8767"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8768" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8769"><span class="mrow" id="MathJax-Span-8770"><span class="mn" id="MathJax-Span-8771" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8772"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8773" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8774"><span class="mrow" id="MathJax-Span-8775"><span class="mn" id="MathJax-Span-8776" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8777" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8778" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8779"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8780" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8781"><span class="mrow" id="MathJax-Span-8782"><span class="mn" id="MathJax-Span-8783" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8784"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8785" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8786"><span class="mrow" id="MathJax-Span-8787"><span class="mn" id="MathJax-Span-8788" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8789" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8790" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-8791"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8792" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8793"><span class="mrow" id="MathJax-Span-8794"><span class="mn" id="MathJax-Span-8795" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8796"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8797" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8798"><span class="mrow" id="MathJax-Span-8799"><span class="mn" id="MathJax-Span-8800" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8801" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8802" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8803"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8804" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8805"><span class="mrow" id="MathJax-Span-8806"><span class="mn" id="MathJax-Span-8807" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8808" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8809" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8810" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8811"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8812" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8813"><span class="mrow" id="MathJax-Span-8814"><span class="mn" id="MathJax-Span-8815" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8816" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8817" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8818"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8819" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8820"><span class="mrow" id="MathJax-Span-8821"><span class="mn" id="MathJax-Span-8822" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8823"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8824" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8825"><span class="mrow" id="MathJax-Span-8826"><span class="mn" id="MathJax-Span-8827" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8828" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8829" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8830" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-8831"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8832" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8833"><span class="mrow" id="MathJax-Span-8834"><span class="mn" id="MathJax-Span-8835" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8836"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8837" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8838"><span class="mrow" id="MathJax-Span-8839"><span class="mn" id="MathJax-Span-8840" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8841" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8842" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8843"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8844" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8845"><span class="mrow" id="MathJax-Span-8846"><span class="mn" id="MathJax-Span-8847" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8848"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8849" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8850"><span class="mrow" id="MathJax-Span-8851"><span class="mn" id="MathJax-Span-8852" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8853" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8854" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8855" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-8856"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8857" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8858"><span class="mrow" id="MathJax-Span-8859"><span class="mn" id="MathJax-Span-8860" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8861"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8862" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8863"><span class="mrow" id="MathJax-Span-8864"><span class="mn" id="MathJax-Span-8865" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8866" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8867" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-8868"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8869" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8870"><span class="mrow" id="MathJax-Span-8871"><span class="mn" id="MathJax-Span-8872" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8873"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8874" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8875"><span class="mrow" id="MathJax-Span-8876"><span class="mn" id="MathJax-Span-8877" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8878" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8879" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8880" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-8881"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8882" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8883"><span class="mrow" id="MathJax-Span-8884"><span class="mn" id="MathJax-Span-8885" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8886"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8887" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8888"><span class="mrow" id="MathJax-Span-8889"><span class="mn" id="MathJax-Span-8890" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8891" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8892" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-8893"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8894" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8895"><span class="mrow" id="MathJax-Span-8896"><span class="mn" id="MathJax-Span-8897" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8898" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-8899" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8900" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8901" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-8902"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8903" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8904"><span class="mrow" id="MathJax-Span-8905"><span class="mn" id="MathJax-Span-8906" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8907" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-8908" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8909" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-8910"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8911" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8912"><span class="mrow" id="MathJax-Span-8913"><span class="mn" id="MathJax-Span-8914" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8915" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.21em, 4.335em, -999.997em); top: -2.456em; left: 50%; margin-left: -28.1em;"><span class="mo" id="MathJax-Span-8916" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-8917" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-8918"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8919" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8920"><span class="mrow" id="MathJax-Span-8921"><span class="mn" id="MathJax-Span-8922" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8923" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8924" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-8925"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8926" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8927"><span class="mrow" id="MathJax-Span-8928"><span class="mn" id="MathJax-Span-8929" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8930"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8931" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8932"><span class="mrow" id="MathJax-Span-8933"><span class="mn" id="MathJax-Span-8934" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8935" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8936" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8937" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-8938"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8939" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8940"><span class="mrow" id="MathJax-Span-8941"><span class="mn" id="MathJax-Span-8942" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8943"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8944" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8945"><span class="mrow" id="MathJax-Span-8946"><span class="mn" id="MathJax-Span-8947" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8948" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8949" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-8950"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8951" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8952"><span class="mrow" id="MathJax-Span-8953"><span class="mn" id="MathJax-Span-8954" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8955"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8956" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8957"><span class="mrow" id="MathJax-Span-8958"><span class="mn" id="MathJax-Span-8959" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8960" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8961" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8962" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-8963"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8964" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8965"><span class="mrow" id="MathJax-Span-8966"><span class="mn" id="MathJax-Span-8967" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8968"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8969" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8970"><span class="mrow" id="MathJax-Span-8971"><span class="mn" id="MathJax-Span-8972" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8973" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8974" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-8975"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8976" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8977"><span class="mrow" id="MathJax-Span-8978"><span class="mn" id="MathJax-Span-8979" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8980"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8981" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8982"><span class="mrow" id="MathJax-Span-8983"><span class="mn" id="MathJax-Span-8984" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-8985" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-8986" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8987" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-8988"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8989" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-8990"><span class="mrow" id="MathJax-Span-8991"><span class="mn" id="MathJax-Span-8992" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-8993"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-8994" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-8995"><span class="mrow" id="MathJax-Span-8996"><span class="mn" id="MathJax-Span-8997" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-8998" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-8999" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-9000"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9001" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9002"><span class="mrow" id="MathJax-Span-9003"><span class="mn" id="MathJax-Span-9004" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9005" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-9006" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9007" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9008" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-9009"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9010" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9011"><span class="mrow" id="MathJax-Span-9012"><span class="mn" id="MathJax-Span-9013" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9014" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-9015" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9016" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-9017"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9018" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9019"><span class="mrow" id="MathJax-Span-9020"><span class="mn" id="MathJax-Span-9021" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9022" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9023" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9024" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-9025"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9026" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9027"><span class="mrow" id="MathJax-Span-9028"><span class="mn" id="MathJax-Span-9029" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9030" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9031" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-9032"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9033" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9034"><span class="mrow" id="MathJax-Span-9035"><span class="mn" id="MathJax-Span-9036" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9037"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9038" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9039"><span class="mrow" id="MathJax-Span-9040"><span class="mn" id="MathJax-Span-9041" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9042" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9043" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9044" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-9045"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9046" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9047"><span class="mrow" id="MathJax-Span-9048"><span class="mn" id="MathJax-Span-9049" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9050"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9051" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9052"><span class="mrow" id="MathJax-Span-9053"><span class="mn" id="MathJax-Span-9054" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9055" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9056" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-9057"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9058" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9059"><span class="mrow" id="MathJax-Span-9060"><span class="mn" id="MathJax-Span-9061" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9062"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9063" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9064"><span class="mrow" id="MathJax-Span-9065"><span class="mn" id="MathJax-Span-9066" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9067" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.15em, 4.335em, -999.997em); top: -0.934em; left: 50%; margin-left: -28.1em;"><span class="mo" id="MathJax-Span-9068" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9069" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-9070"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9071" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9072"><span class="mrow" id="MathJax-Span-9073"><span class="mn" id="MathJax-Span-9074" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9075"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9076" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9077"><span class="mrow" id="MathJax-Span-9078"><span class="mn" id="MathJax-Span-9079" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9080" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9081" style="font-family: MathJax_Main; padding-left: 0.237em;">108</span><span class="msubsup" id="MathJax-Span-9082"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9083" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9084"><span class="mrow" id="MathJax-Span-9085"><span class="mn" id="MathJax-Span-9086" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9087"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9088" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9089"><span class="mrow" id="MathJax-Span-9090"><span class="mn" id="MathJax-Span-9091" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9092" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9093" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9094" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-9095"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9096" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9097"><span class="mrow" id="MathJax-Span-9098"><span class="mn" id="MathJax-Span-9099" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9100"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9101" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9102"><span class="mrow" id="MathJax-Span-9103"><span class="mn" id="MathJax-Span-9104" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9105" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9106" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-9107"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9108" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9109"><span class="mrow" id="MathJax-Span-9110"><span class="mn" id="MathJax-Span-9111" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9112" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mi" id="MathJax-Span-9113" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9114" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9115" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-9116"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9117" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9118"><span class="mrow" id="MathJax-Span-9119"><span class="mn" id="MathJax-Span-9120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9121" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="mo" id="MathJax-Span-9122" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9123" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-9124"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9125" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9126"><span class="mrow" id="MathJax-Span-9127"><span class="mn" id="MathJax-Span-9128" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9129" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9130" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9131" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-9132"><span style="display: inline-block; position: relative; width: 0.823em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.41em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9133" style="font-family: MathJax_Math; font-style: italic;">j</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-9134"><span class="mrow" id="MathJax-Span-9135"><span class="mn" id="MathJax-Span-9136" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9138" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-9139" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9140"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9141" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9142"><span class="mrow" id="MathJax-Span-9143"><span class="mn" id="MathJax-Span-9144" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9145"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9146" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9147"><span class="mrow" id="MathJax-Span-9148"><span class="mn" id="MathJax-Span-9149" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9150" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-9151" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">j</span><span class="msubsup" id="MathJax-Span-9152"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9153" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9154"><span class="mrow" id="MathJax-Span-9155"><span class="mn" id="MathJax-Span-9156" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9157" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9158" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-9159" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9160"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9161" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9162"><span class="mrow" id="MathJax-Span-9163"><span class="mn" id="MathJax-Span-9164" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9165"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9166" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9167"><span class="mrow" id="MathJax-Span-9168"><span class="mn" id="MathJax-Span-9169" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9170" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9171" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-9172" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9173"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9174" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9175"><span class="mrow" id="MathJax-Span-9176"><span class="mn" id="MathJax-Span-9177" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9178" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9179" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-9180" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9181"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9182" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9183"><span class="mrow" id="MathJax-Span-9184"><span class="mn" id="MathJax-Span-9185" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9186"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9187" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9188"><span class="mrow" id="MathJax-Span-9189"><span class="mn" id="MathJax-Span-9190" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9191" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9192" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-9193" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9194"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9195" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9196"><span class="mrow" id="MathJax-Span-9197"><span class="mn" id="MathJax-Span-9198" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9199" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9200" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-9201" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="mi" id="MathJax-Span-9202" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-9203"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9204" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9205"><span class="mrow" id="MathJax-Span-9206"><span class="mn" id="MathJax-Span-9207" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9208" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9209" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-9210" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="mi" id="MathJax-Span-9211" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.27em, 4.335em, -999.997em); top: 0.588em; left: 50%; margin-left: -28.159em;"><span class="mo" id="MathJax-Span-9212" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9213" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-9214" style="font-family: MathJax_Math; font-style: italic;">j</span><span class="msubsup" id="MathJax-Span-9215"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9216" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9217"><span class="mrow" id="MathJax-Span-9218"><span class="mn" id="MathJax-Span-9219" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9220" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9221" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-9222"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9223" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9224"><span class="mrow" id="MathJax-Span-9225"><span class="mn" id="MathJax-Span-9226" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9227"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9228" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9229"><span class="mrow" id="MathJax-Span-9230"><span class="mn" id="MathJax-Span-9231" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9232" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9233" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-9234"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9235" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9236"><span class="mrow" id="MathJax-Span-9237"><span class="mn" id="MathJax-Span-9238" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9239"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9240" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9241"><span class="mrow" id="MathJax-Span-9242"><span class="mn" id="MathJax-Span-9243" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9244" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9245" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-9246"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9247" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9248"><span class="mrow" id="MathJax-Span-9249"><span class="mn" id="MathJax-Span-9250" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9251" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9252" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9253" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-9254"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9255" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9256"><span class="mrow" id="MathJax-Span-9257"><span class="mn" id="MathJax-Span-9258" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9259" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9260" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-9261"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9262" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9263"><span class="mrow" id="MathJax-Span-9264"><span class="mn" id="MathJax-Span-9265" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9266"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9267" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9268"><span class="mrow" id="MathJax-Span-9269"><span class="mn" id="MathJax-Span-9270" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9271" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9272" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-9273"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9274" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9275"><span class="mrow" id="MathJax-Span-9276"><span class="mn" id="MathJax-Span-9277" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9278"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9279" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9280"><span class="mrow" id="MathJax-Span-9281"><span class="mn" id="MathJax-Span-9282" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9283" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9284" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-9285"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9286" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9287"><span class="mrow" id="MathJax-Span-9288"><span class="mn" id="MathJax-Span-9289" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9290" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9291" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9292" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-9293"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9294" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9295"><span class="mrow" id="MathJax-Span-9296"><span class="mn" id="MathJax-Span-9297" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9298" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9299" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-9300"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9301" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9302"><span class="mrow" id="MathJax-Span-9303"><span class="mn" id="MathJax-Span-9304" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9305"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9306" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9307"><span class="mrow" id="MathJax-Span-9308"><span class="mn" id="MathJax-Span-9309" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9310" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9311" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-9312"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9313" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9314"><span class="mrow" id="MathJax-Span-9315"><span class="mn" id="MathJax-Span-9316" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9317"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9318" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9319"><span class="mrow" id="MathJax-Span-9320"><span class="mn" id="MathJax-Span-9321" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9322" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9323" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-9324"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9325" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9326"><span class="mrow" id="MathJax-Span-9327"><span class="mn" id="MathJax-Span-9328" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9329" style="font-family: MathJax_Math; font-style: italic;">l</span><span class="mo" id="MathJax-Span-9330" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9331" style="font-family: MathJax_Main; padding-left: 0.237em;">17</span><span class="msubsup" id="MathJax-Span-9332"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9333" style="font-family: MathJax_Math; font-style: italic;">k</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-9334"><span class="mrow" id="MathJax-Span-9335"><span class="mn" id="MathJax-Span-9336" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9337" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9338" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-9339" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-9340"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9341" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9342"><span class="mrow" id="MathJax-Span-9343"><span class="mn" id="MathJax-Span-9344" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9345" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9346" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="mi" id="MathJax-Span-9347" style="font-family: MathJax_Math; font-style: italic;">k</span><span class="msubsup" id="MathJax-Span-9348"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9349" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9350"><span class="mrow" id="MathJax-Span-9351"><span class="mn" id="MathJax-Span-9352" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9353" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9354" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-9355"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9356" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9357"><span class="mrow" id="MathJax-Span-9358"><span class="mn" id="MathJax-Span-9359" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9360" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9361" style="font-family: MathJax_Main; padding-left: 0.237em;">13</span><span class="msubsup" id="MathJax-Span-9362"><span style="display: inline-block; position: relative; width: 0.706em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.3em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9363" style="font-family: MathJax_Math; font-style: italic;">l</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.296em;"><span class="texatom" id="MathJax-Span-9364"><span class="mrow" id="MathJax-Span-9365"><span class="mn" id="MathJax-Span-9366" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 6.677em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -5.925em; border-left: 0px solid; width: 0px; height: 7.075em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>k</mi><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>j</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>44</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>18</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>l</mi><mo>+</mo><mn>17</mn><msup><mi>k</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>k</mi><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>13</mn><msup><mi>l</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-196"> 0 \le 4 j^{5} k^{4}+16 j^{5} k^{3}+24 j^{5} k^{2}+16 j^{5} k+4 j^{5}+4 j^{4} k^{4} l+18 j^{4} k^{4}+16 j^{4} k^{3} l+76 j^{4} k^{3}+24 j^{4} k^{2} l+120 j^{4} k^{2}+16 j^{4} k l+84 j^{4} k+4 j^{4} l+22 j^{4}+14 j^{3} k^{4} l+30 j^{3} k^{4}+56 j^{3} k^{3} l+132 j^{3} k^{3}+84 j^{3} k^{2} l+216 j^{3} k^{2}+56 j^{3} k l+156 j^{3} k+14 j^{3} l+42 j^{3}+18 j^{2} k^{4} l+22 j^{2} k^{4}+72 j^{2} k^{3} l+100 j^{2} k^{3}+108 j^{2} k^{2} l+168 j^{2} k^{2}+72 j^{2} k l+124 j^{2} k+18 j^{2} l+34 j^{2}+4 j k^{4} l^{2}+j k^{4}+16 j k^{3} l^{2}+8 j k^{3}+24 j k^{2} l^{2}+9 j k^{2}+16 j k l^{2}+2 j k+4 j l^{2}+4 k^{4} l^{3}+10 k^{4} l^{2}+3 k^{4} l+4 k^{4}+16 k^{3} l^{3}+44 k^{3} l^{2}+8 k^{3} l+18 k^{3}+24 k^{2} l^{3}+72 k^{2} l^{2}+3 k^{2} l+17 k^{2}+16 k l^{3}+52 k l^{2}+4 l^{3}+13 l^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-197-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>m</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>n</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>o</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-9367" style="width: 21.783em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.86em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1017.86em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-9368"><span class="mi" id="MathJax-Span-9369" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-9370" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-9371" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-9372"><span class="mrow" id="MathJax-Span-9373"><span class="mo" id="MathJax-Span-9374" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-9375" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-9376" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-9377" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-9378" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">m</span><span class="mo" id="MathJax-Span-9379" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-9380" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-9381" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-9382" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-9383" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-9384"><span class="mrow" id="MathJax-Span-9385"><span class="mo" id="MathJax-Span-9386" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-9387" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-9388" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-9389" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-9390" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">n</span><span class="mo" id="MathJax-Span-9391" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-9392" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-9393" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-9394" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-9395" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-9396" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-9397" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">o</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>m</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>n</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>o</mi></math></span></span><script type="math/tex" id="MathJax-Element-197">a\to 1/(1+m),b\to 1/(1+n),c\to 1+o</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-198-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>9</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>28</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>38</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>48</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>51</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>57</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>30</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>n</mi><mi>o</mi><mo>+</mo><mn>34</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>n</mi><mo>+</mo><mn>4</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>10</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>34</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>40</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>80</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>156</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>160</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>170</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>120</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>264</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>195</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>246</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>80</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>196</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>110</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>n</mi><mi>o</mi><mo>+</mo><mn>136</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>n</mi><mo>+</mo><mn>20</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>54</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>30</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>40</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>40</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>76</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>70</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>70</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>160</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>344</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>240</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>300</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>240</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>576</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>270</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>414</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>160</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>n</mi><msup><mi>o</mi><mrow 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id="MathJax-Span-9398" style="width: 68.621em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.209em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(13.118em, 1056.21em, 26.525em, -999.997em); top: -14.107em; left: 0em;"><span class="mrow" id="MathJax-Span-9399"><span style="display: inline-block; position: relative; width: 56.209em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1054.63em, 4.218em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-9400" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-9401"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9402" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9403"><span class="mrow" id="MathJax-Span-9404"><span class="mn" id="MathJax-Span-9405" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9406"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9407" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9408"><span class="mrow" id="MathJax-Span-9409"><span class="mn" id="MathJax-Span-9410" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9411"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9412" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9413"><span class="mrow" id="MathJax-Span-9414"><span class="mn" id="MathJax-Span-9415" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9416" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9417" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-9418"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9419" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9420"><span class="mrow" id="MathJax-Span-9421"><span class="mn" id="MathJax-Span-9422" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9423"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9424" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9425"><span class="mrow" id="MathJax-Span-9426"><span class="mn" id="MathJax-Span-9427" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9428"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9429" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9430"><span class="mrow" id="MathJax-Span-9431"><span class="mn" id="MathJax-Span-9432" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9433" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9434" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="msubsup" id="MathJax-Span-9435"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9436" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9437"><span class="mrow" id="MathJax-Span-9438"><span class="mn" id="MathJax-Span-9439" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9440"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9441" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9442"><span class="mrow" id="MathJax-Span-9443"><span class="mn" id="MathJax-Span-9444" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9445" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9446" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9447" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-9448"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9449" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9450"><span class="mrow" id="MathJax-Span-9451"><span class="mn" id="MathJax-Span-9452" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9453"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9454" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9455"><span class="mrow" id="MathJax-Span-9456"><span class="mn" id="MathJax-Span-9457" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9458" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9459" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-9460"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9461" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9462"><span class="mrow" id="MathJax-Span-9463"><span class="mn" id="MathJax-Span-9464" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9465"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9466" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9467"><span class="mrow" id="MathJax-Span-9468"><span class="mn" id="MathJax-Span-9469" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9470"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9471" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9472"><span class="mrow" id="MathJax-Span-9473"><span class="mn" id="MathJax-Span-9474" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9475" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9476" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-9477"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9478" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9479"><span class="mrow" id="MathJax-Span-9480"><span class="mn" id="MathJax-Span-9481" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9482"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9483" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9484"><span class="mrow" id="MathJax-Span-9485"><span class="mn" id="MathJax-Span-9486" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9487"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9488" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9489"><span class="mrow" id="MathJax-Span-9490"><span class="mn" id="MathJax-Span-9491" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9492" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9493" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-9494"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9495" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9496"><span class="mrow" id="MathJax-Span-9497"><span class="mn" id="MathJax-Span-9498" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9499"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9500" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9501"><span class="mrow" id="MathJax-Span-9502"><span class="mn" id="MathJax-Span-9503" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9504" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9505" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9506" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-9507"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9508" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9509"><span class="mrow" id="MathJax-Span-9510"><span class="mn" id="MathJax-Span-9511" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9512"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9513" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9514"><span class="mrow" id="MathJax-Span-9515"><span class="mn" id="MathJax-Span-9516" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9517" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9518" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-9519"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9520" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9521"><span class="mrow" id="MathJax-Span-9522"><span class="mn" id="MathJax-Span-9523" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9524"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9525" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9526"><span class="mrow" id="MathJax-Span-9527"><span class="mn" id="MathJax-Span-9528" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9529"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9530" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9531"><span class="mrow" id="MathJax-Span-9532"><span class="mn" id="MathJax-Span-9533" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9534" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9535" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-9536"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9537" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9538"><span class="mrow" id="MathJax-Span-9539"><span class="mn" id="MathJax-Span-9540" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9541"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9542" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9543"><span class="mrow" id="MathJax-Span-9544"><span class="mn" id="MathJax-Span-9545" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9546"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9547" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9548"><span class="mrow" id="MathJax-Span-9549"><span class="mn" id="MathJax-Span-9550" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9551" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9552" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-9553"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9554" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9555"><span class="mrow" id="MathJax-Span-9556"><span class="mn" id="MathJax-Span-9557" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9558"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9559" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9560"><span class="mrow" id="MathJax-Span-9561"><span class="mn" id="MathJax-Span-9562" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9563" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.92em, 4.218em, -999.997em); top: -2.632em; left: 0em;"><span class="mo" id="MathJax-Span-9564" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9565" style="font-family: MathJax_Main; padding-left: 0.237em;">57</span><span class="msubsup" id="MathJax-Span-9566"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9567" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9568"><span class="mrow" id="MathJax-Span-9569"><span class="mn" id="MathJax-Span-9570" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9571"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9572" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9573"><span class="mrow" id="MathJax-Span-9574"><span class="mn" id="MathJax-Span-9575" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9576" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9577" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-9578"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9579" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9580"><span class="mrow" id="MathJax-Span-9581"><span class="mn" id="MathJax-Span-9582" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9583" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-9584"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9585" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9586"><span class="mrow" id="MathJax-Span-9587"><span class="mn" id="MathJax-Span-9588" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9589" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9590" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-9591"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9592" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9593"><span class="mrow" id="MathJax-Span-9594"><span class="mn" id="MathJax-Span-9595" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9596" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-9597"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9598" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9599"><span class="mrow" id="MathJax-Span-9600"><span class="mn" id="MathJax-Span-9601" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9603" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-9604"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9605" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9606"><span class="mrow" id="MathJax-Span-9607"><span class="mn" id="MathJax-Span-9608" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9609" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-9610" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9611" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9612" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-9613"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9614" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9615"><span class="mrow" id="MathJax-Span-9616"><span class="mn" id="MathJax-Span-9617" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9618" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-9619" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9620" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-9621"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9622" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9623"><span class="mrow" id="MathJax-Span-9624"><span class="mn" id="MathJax-Span-9625" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9626"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9627" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9628"><span class="mrow" id="MathJax-Span-9629"><span class="mn" id="MathJax-Span-9630" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9631" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9632" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-9633"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9634" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9635"><span class="mrow" id="MathJax-Span-9636"><span class="mn" id="MathJax-Span-9637" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9638"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9639" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9640"><span class="mrow" id="MathJax-Span-9641"><span class="mn" id="MathJax-Span-9642" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9643" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9644" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-9645"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9646" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9647"><span class="mrow" id="MathJax-Span-9648"><span class="mn" id="MathJax-Span-9649" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9650" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9651" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9652" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-9653"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9654" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9655"><span class="mrow" id="MathJax-Span-9656"><span class="mn" id="MathJax-Span-9657" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9658" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9659" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-9660"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9661" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9662"><span class="mrow" id="MathJax-Span-9663"><span class="mn" id="MathJax-Span-9664" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9665"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9666" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9667"><span class="mrow" id="MathJax-Span-9668"><span class="mn" id="MathJax-Span-9669" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9670"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9671" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9672"><span class="mrow" id="MathJax-Span-9673"><span class="mn" id="MathJax-Span-9674" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9675" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9676" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-9677"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9678" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9679"><span class="mrow" id="MathJax-Span-9680"><span class="mn" id="MathJax-Span-9681" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9682"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9683" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9684"><span class="mrow" id="MathJax-Span-9685"><span class="mn" id="MathJax-Span-9686" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9687"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9688" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9689"><span class="mrow" id="MathJax-Span-9690"><span class="mn" id="MathJax-Span-9691" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9692" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9693" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-9694"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9695" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9696"><span class="mrow" id="MathJax-Span-9697"><span class="mn" id="MathJax-Span-9698" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9699"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9700" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9701"><span class="mrow" id="MathJax-Span-9702"><span class="mn" id="MathJax-Span-9703" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9704" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.22em, 4.218em, -999.997em); top: -1.285em; left: 0em;"><span class="mo" id="MathJax-Span-9705" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9706" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-9707"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9708" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9709"><span class="mrow" id="MathJax-Span-9710"><span class="mn" id="MathJax-Span-9711" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9712"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9713" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9714"><span class="mrow" id="MathJax-Span-9715"><span class="mn" id="MathJax-Span-9716" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9717" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9718" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="msubsup" id="MathJax-Span-9719"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9720" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9721"><span class="mrow" id="MathJax-Span-9722"><span class="mn" id="MathJax-Span-9723" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9724"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9725" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9726"><span class="mrow" id="MathJax-Span-9727"><span class="mn" id="MathJax-Span-9728" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9729"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9730" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9731"><span class="mrow" id="MathJax-Span-9732"><span class="mn" id="MathJax-Span-9733" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9734" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9735" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-9736"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9737" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9738"><span class="mrow" id="MathJax-Span-9739"><span class="mn" id="MathJax-Span-9740" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9741"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9742" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9743"><span class="mrow" id="MathJax-Span-9744"><span class="mn" id="MathJax-Span-9745" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9746"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9747" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9748"><span class="mrow" id="MathJax-Span-9749"><span class="mn" id="MathJax-Span-9750" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9751" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9752" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-9753"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9754" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9755"><span class="mrow" id="MathJax-Span-9756"><span class="mn" id="MathJax-Span-9757" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9758"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9759" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9760"><span class="mrow" id="MathJax-Span-9761"><span class="mn" id="MathJax-Span-9762" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9763" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9764" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9765" style="font-family: MathJax_Main; padding-left: 0.237em;">170</span><span class="msubsup" id="MathJax-Span-9766"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9767" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9768"><span class="mrow" id="MathJax-Span-9769"><span class="mn" id="MathJax-Span-9770" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9771"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9772" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9773"><span class="mrow" id="MathJax-Span-9774"><span class="mn" id="MathJax-Span-9775" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9776" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9777" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-9778"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9779" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9780"><span class="mrow" id="MathJax-Span-9781"><span class="mn" id="MathJax-Span-9782" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9783"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9784" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9785"><span class="mrow" id="MathJax-Span-9786"><span class="mn" id="MathJax-Span-9787" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9788"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9789" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9790"><span class="mrow" id="MathJax-Span-9791"><span class="mn" id="MathJax-Span-9792" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9793" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9794" style="font-family: MathJax_Main; padding-left: 0.237em;">264</span><span class="msubsup" id="MathJax-Span-9795"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9796" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9797"><span class="mrow" id="MathJax-Span-9798"><span class="mn" id="MathJax-Span-9799" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9800"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9801" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9802"><span class="mrow" id="MathJax-Span-9803"><span class="mn" id="MathJax-Span-9804" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9805"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9806" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9807"><span class="mrow" id="MathJax-Span-9808"><span class="mn" id="MathJax-Span-9809" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9810" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9811" style="font-family: MathJax_Main; padding-left: 0.237em;">195</span><span class="msubsup" id="MathJax-Span-9812"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9813" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9814"><span class="mrow" id="MathJax-Span-9815"><span class="mn" id="MathJax-Span-9816" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9817"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9818" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9819"><span class="mrow" id="MathJax-Span-9820"><span class="mn" id="MathJax-Span-9821" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9822" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9823" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9824" style="font-family: MathJax_Main; padding-left: 0.237em;">246</span><span class="msubsup" id="MathJax-Span-9825"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9826" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9827"><span class="mrow" id="MathJax-Span-9828"><span class="mn" id="MathJax-Span-9829" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9830"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9831" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9832"><span class="mrow" id="MathJax-Span-9833"><span class="mn" id="MathJax-Span-9834" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9835" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9836" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="msubsup" id="MathJax-Span-9837"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9838" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9839"><span class="mrow" id="MathJax-Span-9840"><span class="mn" id="MathJax-Span-9841" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9842" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-9843"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9844" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9845"><span class="mrow" id="MathJax-Span-9846"><span class="mn" id="MathJax-Span-9847" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.35em, 4.218em, -999.997em); top: 0.061em; left: 0em;"><span class="mo" id="MathJax-Span-9848" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9849" style="font-family: MathJax_Main; padding-left: 0.237em;">196</span><span class="msubsup" id="MathJax-Span-9850"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9851" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9852"><span class="mrow" id="MathJax-Span-9853"><span class="mn" id="MathJax-Span-9854" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9855" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-9856"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9857" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9858"><span class="mrow" id="MathJax-Span-9859"><span class="mn" id="MathJax-Span-9860" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9861" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9862" style="font-family: MathJax_Main; padding-left: 0.237em;">110</span><span class="msubsup" id="MathJax-Span-9863"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9864" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9865"><span class="mrow" id="MathJax-Span-9866"><span class="mn" id="MathJax-Span-9867" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9868" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-9869" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9870" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9871" style="font-family: MathJax_Main; padding-left: 0.237em;">136</span><span class="msubsup" id="MathJax-Span-9872"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9873" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9874"><span class="mrow" id="MathJax-Span-9875"><span class="mn" id="MathJax-Span-9876" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9877" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-9878" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9879" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-9880"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9881" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9882"><span class="mrow" id="MathJax-Span-9883"><span class="mn" id="MathJax-Span-9884" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9885"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9886" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9887"><span class="mrow" id="MathJax-Span-9888"><span class="mn" id="MathJax-Span-9889" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9890" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9891" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-9892"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9893" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9894"><span class="mrow" id="MathJax-Span-9895"><span class="mn" id="MathJax-Span-9896" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9897"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9898" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9899"><span class="mrow" id="MathJax-Span-9900"><span class="mn" id="MathJax-Span-9901" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9902" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9903" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-9904"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9905" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9906"><span class="mrow" id="MathJax-Span-9907"><span class="mn" id="MathJax-Span-9908" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9909" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9910" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9911" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-9912"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9913" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9914"><span class="mrow" id="MathJax-Span-9915"><span class="mn" id="MathJax-Span-9916" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9917" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9918" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-9919"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9920" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9921"><span class="mrow" id="MathJax-Span-9922"><span class="mn" id="MathJax-Span-9923" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9924"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9925" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9926"><span class="mrow" id="MathJax-Span-9927"><span class="mn" id="MathJax-Span-9928" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9929"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9930" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9931"><span class="mrow" id="MathJax-Span-9932"><span class="mn" id="MathJax-Span-9933" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9934" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9935" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-9936"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9937" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9938"><span class="mrow" id="MathJax-Span-9939"><span class="mn" id="MathJax-Span-9940" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9941"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9942" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9943"><span class="mrow" id="MathJax-Span-9944"><span class="mn" id="MathJax-Span-9945" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9946"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9947" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9948"><span class="mrow" id="MathJax-Span-9949"><span class="mn" id="MathJax-Span-9950" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9951" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9952" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-9953"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9954" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9955"><span class="mrow" id="MathJax-Span-9956"><span class="mn" id="MathJax-Span-9957" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9958"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9959" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9960"><span class="mrow" id="MathJax-Span-9961"><span class="mn" id="MathJax-Span-9962" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-9963" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-9964" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9965" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-9966"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9967" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9968"><span class="mrow" id="MathJax-Span-9969"><span class="mn" id="MathJax-Span-9970" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9971"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9972" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9973"><span class="mrow" id="MathJax-Span-9974"><span class="mn" id="MathJax-Span-9975" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.21em, 4.218em, -999.997em); top: 1.408em; left: 0em;"><span class="mo" id="MathJax-Span-9976" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-9977" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-9978"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9979" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9980"><span class="mrow" id="MathJax-Span-9981"><span class="mn" id="MathJax-Span-9982" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9983"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9984" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-9985"><span class="mrow" id="MathJax-Span-9986"><span class="mn" id="MathJax-Span-9987" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-9988"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9989" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-9990"><span class="mrow" id="MathJax-Span-9991"><span class="mn" id="MathJax-Span-9992" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-9993" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-9994" style="font-family: MathJax_Main; padding-left: 0.237em;">344</span><span class="msubsup" id="MathJax-Span-9995"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-9996" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-9997"><span class="mrow" id="MathJax-Span-9998"><span class="mn" id="MathJax-Span-9999" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10000"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10001" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10002"><span class="mrow" id="MathJax-Span-10003"><span class="mn" id="MathJax-Span-10004" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10005"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10006" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10007"><span class="mrow" id="MathJax-Span-10008"><span class="mn" id="MathJax-Span-10009" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10010" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10011" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-10012"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10013" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10014"><span class="mrow" id="MathJax-Span-10015"><span class="mn" id="MathJax-Span-10016" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10017"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10018" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10019"><span class="mrow" id="MathJax-Span-10020"><span class="mn" id="MathJax-Span-10021" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10022" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10023" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10024" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-10025"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10026" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10027"><span class="mrow" id="MathJax-Span-10028"><span class="mn" id="MathJax-Span-10029" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10030"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10031" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10032"><span class="mrow" id="MathJax-Span-10033"><span class="mn" id="MathJax-Span-10034" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10035" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10036" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-10037"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10038" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10039"><span class="mrow" id="MathJax-Span-10040"><span class="mn" id="MathJax-Span-10041" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10042"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10043" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10044"><span class="mrow" id="MathJax-Span-10045"><span class="mn" id="MathJax-Span-10046" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10047"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10048" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10049"><span class="mrow" id="MathJax-Span-10050"><span class="mn" id="MathJax-Span-10051" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10052" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10053" style="font-family: MathJax_Main; padding-left: 0.237em;">576</span><span class="msubsup" id="MathJax-Span-10054"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10055" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10056"><span class="mrow" id="MathJax-Span-10057"><span class="mn" id="MathJax-Span-10058" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10059"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10060" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10061"><span class="mrow" id="MathJax-Span-10062"><span class="mn" id="MathJax-Span-10063" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10064"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10065" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10066"><span class="mrow" id="MathJax-Span-10067"><span class="mn" id="MathJax-Span-10068" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10069" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10070" style="font-family: MathJax_Main; padding-left: 0.237em;">270</span><span class="msubsup" id="MathJax-Span-10071"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10072" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10073"><span class="mrow" id="MathJax-Span-10074"><span class="mn" id="MathJax-Span-10075" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10076"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10077" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10078"><span class="mrow" id="MathJax-Span-10079"><span class="mn" id="MathJax-Span-10080" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10081" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10082" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10083" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-10084"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10085" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10086"><span class="mrow" id="MathJax-Span-10087"><span class="mn" id="MathJax-Span-10088" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10089"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10090" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10091"><span class="mrow" id="MathJax-Span-10092"><span class="mn" id="MathJax-Span-10093" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10094" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10095" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-10096"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10097" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10098"><span class="mrow" id="MathJax-Span-10099"><span class="mn" id="MathJax-Span-10100" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10101" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10102"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10103" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10104"><span class="mrow" id="MathJax-Span-10105"><span class="mn" id="MathJax-Span-10106" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10107" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10108" style="font-family: MathJax_Main; padding-left: 0.237em;">424</span><span class="msubsup" id="MathJax-Span-10109"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10110" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10111"><span class="mrow" id="MathJax-Span-10112"><span class="mn" id="MathJax-Span-10113" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10114" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10115"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10116" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10117"><span class="mrow" id="MathJax-Span-10118"><span class="mn" id="MathJax-Span-10119" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.28em, 4.218em, -999.997em); top: 2.813em; left: 0em;"><span class="mo" id="MathJax-Span-10120" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10121" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-10122"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10123" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10124"><span class="mrow" id="MathJax-Span-10125"><span class="mn" id="MathJax-Span-10126" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10127" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10128" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10129" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10130" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="msubsup" id="MathJax-Span-10131"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10132" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10133"><span class="mrow" id="MathJax-Span-10134"><span class="mn" id="MathJax-Span-10135" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10136" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-10137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10138" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-10139"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10140" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10141"><span class="mrow" id="MathJax-Span-10142"><span class="mn" id="MathJax-Span-10143" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10144"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10145" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10146"><span class="mrow" id="MathJax-Span-10147"><span class="mn" id="MathJax-Span-10148" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10149" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10150" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-10151"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10152" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10153"><span class="mrow" id="MathJax-Span-10154"><span class="mn" id="MathJax-Span-10155" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10156"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10157" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10158"><span class="mrow" id="MathJax-Span-10159"><span class="mn" id="MathJax-Span-10160" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10161" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10162" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-10163"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10164" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10165"><span class="mrow" id="MathJax-Span-10166"><span class="mn" id="MathJax-Span-10167" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10168" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10169" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10170" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-10171"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10172" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10173"><span class="mrow" id="MathJax-Span-10174"><span class="mn" id="MathJax-Span-10175" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10176" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10177" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-10178"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10179" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10180"><span class="mrow" id="MathJax-Span-10181"><span class="mn" id="MathJax-Span-10182" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10183"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10184" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10185"><span class="mrow" id="MathJax-Span-10186"><span class="mn" id="MathJax-Span-10187" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10188"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10189" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10190"><span class="mrow" id="MathJax-Span-10191"><span class="mn" id="MathJax-Span-10192" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10193" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10194" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-10195"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10196" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10197"><span class="mrow" id="MathJax-Span-10198"><span class="mn" id="MathJax-Span-10199" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10200"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10201" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10202"><span class="mrow" id="MathJax-Span-10203"><span class="mn" id="MathJax-Span-10204" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10205"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10206" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10207"><span class="mrow" id="MathJax-Span-10208"><span class="mn" id="MathJax-Span-10209" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10210" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10211" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-10212"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10213" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10214"><span class="mrow" id="MathJax-Span-10215"><span class="mn" id="MathJax-Span-10216" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10217"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10218" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10219"><span class="mrow" id="MathJax-Span-10220"><span class="mn" id="MathJax-Span-10221" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10222" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10223" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10224" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-10225"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10226" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10227"><span class="mrow" id="MathJax-Span-10228"><span class="mn" id="MathJax-Span-10229" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10230"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10231" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10232"><span class="mrow" id="MathJax-Span-10233"><span class="mn" id="MathJax-Span-10234" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10235" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10236" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-10237"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10238" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10239"><span class="mrow" id="MathJax-Span-10240"><span class="mn" id="MathJax-Span-10241" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10242"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10243" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10244"><span class="mrow" id="MathJax-Span-10245"><span class="mn" id="MathJax-Span-10246" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10247"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10248" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10249"><span class="mrow" id="MathJax-Span-10250"><span class="mn" id="MathJax-Span-10251" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.86em, 4.218em, -999.997em); top: 4.16em; left: 0em;"><span class="mo" id="MathJax-Span-10252" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10253" style="font-family: MathJax_Main; padding-left: 0.237em;">376</span><span class="msubsup" id="MathJax-Span-10254"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10255" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10256"><span class="mrow" id="MathJax-Span-10257"><span class="mn" id="MathJax-Span-10258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10259"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10260" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10261"><span class="mrow" id="MathJax-Span-10262"><span class="mn" id="MathJax-Span-10263" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10264"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10265" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10266"><span class="mrow" id="MathJax-Span-10267"><span class="mn" id="MathJax-Span-10268" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10269" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10270" style="font-family: MathJax_Main; padding-left: 0.237em;">152</span><span class="msubsup" id="MathJax-Span-10271"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10272" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10273"><span class="mrow" id="MathJax-Span-10274"><span class="mn" id="MathJax-Span-10275" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10276"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10277" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10278"><span class="mrow" id="MathJax-Span-10279"><span class="mn" id="MathJax-Span-10280" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10281" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10282" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10283" style="font-family: MathJax_Main; padding-left: 0.237em;">248</span><span class="msubsup" id="MathJax-Span-10284"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10285" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10286"><span class="mrow" id="MathJax-Span-10287"><span class="mn" id="MathJax-Span-10288" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10289"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10290" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10291"><span class="mrow" id="MathJax-Span-10292"><span class="mn" id="MathJax-Span-10293" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10294" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10295" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-10296"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10297" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10298"><span class="mrow" id="MathJax-Span-10299"><span class="mn" id="MathJax-Span-10300" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10301"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10302" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10303"><span class="mrow" id="MathJax-Span-10304"><span class="mn" id="MathJax-Span-10305" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10306"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10307" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10308"><span class="mrow" id="MathJax-Span-10309"><span class="mn" id="MathJax-Span-10310" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10311" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10312" style="font-family: MathJax_Main; padding-left: 0.237em;">624</span><span class="msubsup" id="MathJax-Span-10313"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10314" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10315"><span class="mrow" id="MathJax-Span-10316"><span class="mn" id="MathJax-Span-10317" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10318"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10319" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10320"><span class="mrow" id="MathJax-Span-10321"><span class="mn" id="MathJax-Span-10322" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10323"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10324" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10325"><span class="mrow" id="MathJax-Span-10326"><span class="mn" id="MathJax-Span-10327" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10328" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10329" style="font-family: MathJax_Main; padding-left: 0.237em;">138</span><span class="msubsup" id="MathJax-Span-10330"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10331" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10332"><span class="mrow" id="MathJax-Span-10333"><span class="mn" id="MathJax-Span-10334" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10335"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10336" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10337"><span class="mrow" id="MathJax-Span-10338"><span class="mn" id="MathJax-Span-10339" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10340" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10341" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10342" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-10343"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10344" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10345"><span class="mrow" id="MathJax-Span-10346"><span class="mn" id="MathJax-Span-10347" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10348"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10349" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10350"><span class="mrow" id="MathJax-Span-10351"><span class="mn" id="MathJax-Span-10352" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10353" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10354" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-10355"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10356" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10357"><span class="mrow" id="MathJax-Span-10358"><span class="mn" id="MathJax-Span-10359" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10360" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10361"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10362" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10363"><span class="mrow" id="MathJax-Span-10364"><span class="mn" id="MathJax-Span-10365" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10366" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10367" style="font-family: MathJax_Main; padding-left: 0.237em;">456</span><span class="msubsup" id="MathJax-Span-10368"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10369" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10370"><span class="mrow" id="MathJax-Span-10371"><span class="mn" id="MathJax-Span-10372" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10373" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10374"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10375" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10376"><span class="mrow" id="MathJax-Span-10377"><span class="mn" id="MathJax-Span-10378" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10379" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10380" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="msubsup" id="MathJax-Span-10381"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10382" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10383"><span class="mrow" id="MathJax-Span-10384"><span class="mn" id="MathJax-Span-10385" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10386" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10387" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.68em, 4.218em, -999.997em); top: 5.506em; left: 0em;"><span class="mo" id="MathJax-Span-10388" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10389" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-10390"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10391" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10392"><span class="mrow" id="MathJax-Span-10393"><span class="mn" id="MathJax-Span-10394" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10395" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-10396" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10397" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-10398"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10399" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10400"><span class="mrow" id="MathJax-Span-10401"><span class="mn" id="MathJax-Span-10402" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10403"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10404" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10405"><span class="mrow" id="MathJax-Span-10406"><span class="mn" id="MathJax-Span-10407" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10408" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10409" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-10410"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10411" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10412"><span class="mrow" id="MathJax-Span-10413"><span class="mn" id="MathJax-Span-10414" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10415"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10416" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10417"><span class="mrow" id="MathJax-Span-10418"><span class="mn" id="MathJax-Span-10419" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10420" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10421" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-10422"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10423" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10424"><span class="mrow" id="MathJax-Span-10425"><span class="mn" id="MathJax-Span-10426" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10427" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10428" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10429" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-10430"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10431" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10432"><span class="mrow" id="MathJax-Span-10433"><span class="mn" id="MathJax-Span-10434" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10435" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10436" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-10437" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10438"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10439" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10440"><span class="mrow" id="MathJax-Span-10441"><span class="mn" id="MathJax-Span-10442" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10443"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10444" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10445"><span class="mrow" id="MathJax-Span-10446"><span class="mn" id="MathJax-Span-10447" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10448" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10449" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="mi" id="MathJax-Span-10450" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10451"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10452" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10453"><span class="mrow" id="MathJax-Span-10454"><span class="mn" id="MathJax-Span-10455" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10456"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10457" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10458"><span class="mrow" id="MathJax-Span-10459"><span class="mn" id="MathJax-Span-10460" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10461" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10462" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="mi" id="MathJax-Span-10463" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10464"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10465" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10466"><span class="mrow" id="MathJax-Span-10467"><span class="mn" id="MathJax-Span-10468" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10469" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10470" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10471" style="font-family: MathJax_Main; padding-left: 0.237em;">19</span><span class="mi" id="MathJax-Span-10472" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10473"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10474" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10475"><span class="mrow" id="MathJax-Span-10476"><span class="mn" id="MathJax-Span-10477" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10478" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10479" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="mi" id="MathJax-Span-10480" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10481"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10482" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10483"><span class="mrow" id="MathJax-Span-10484"><span class="mn" id="MathJax-Span-10485" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10486"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10487" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10488"><span class="mrow" id="MathJax-Span-10489"><span class="mn" id="MathJax-Span-10490" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10491" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10492" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="mi" id="MathJax-Span-10493" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10494"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10495" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10496"><span class="mrow" id="MathJax-Span-10497"><span class="mn" id="MathJax-Span-10498" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10499"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10500" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10501"><span class="mrow" id="MathJax-Span-10502"><span class="mn" id="MathJax-Span-10503" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10504" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10505" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="mi" id="MathJax-Span-10506" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10507"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10508" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10509"><span class="mrow" id="MathJax-Span-10510"><span class="mn" id="MathJax-Span-10511" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10512" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.87em, 4.218em, -999.997em); top: 6.853em; left: 0em;"><span class="mo" id="MathJax-Span-10513" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10514" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="mi" id="MathJax-Span-10515" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10516"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10517" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10518"><span class="mrow" id="MathJax-Span-10519"><span class="mn" id="MathJax-Span-10520" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10521" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10522" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="mi" id="MathJax-Span-10523" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10524"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10525" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10526"><span class="mrow" id="MathJax-Span-10527"><span class="mn" id="MathJax-Span-10528" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10529"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10530" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10531"><span class="mrow" id="MathJax-Span-10532"><span class="mn" id="MathJax-Span-10533" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10534" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10535" style="font-family: MathJax_Main; padding-left: 0.237em;">336</span><span class="mi" id="MathJax-Span-10536" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10537"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10538" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10539"><span class="mrow" id="MathJax-Span-10540"><span class="mn" id="MathJax-Span-10541" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10542"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10543" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10544"><span class="mrow" id="MathJax-Span-10545"><span class="mn" id="MathJax-Span-10546" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10547" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10548" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="mi" id="MathJax-Span-10549" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10550"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10551" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10552"><span class="mrow" id="MathJax-Span-10553"><span class="mn" id="MathJax-Span-10554" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10555" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10556" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10557" style="font-family: MathJax_Main; padding-left: 0.237em;">81</span><span class="mi" id="MathJax-Span-10558" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10559"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10560" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10561"><span class="mrow" id="MathJax-Span-10562"><span class="mn" id="MathJax-Span-10563" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10564" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10565" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="mi" id="MathJax-Span-10566" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10567" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10568"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10569" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10570"><span class="mrow" id="MathJax-Span-10571"><span class="mn" id="MathJax-Span-10572" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10573" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10574" style="font-family: MathJax_Main; padding-left: 0.237em;">244</span><span class="mi" id="MathJax-Span-10575" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10576" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10577"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10578" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10579"><span class="mrow" id="MathJax-Span-10580"><span class="mn" id="MathJax-Span-10581" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10582" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-10583" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="mi" id="MathJax-Span-10584" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10585" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10586" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10587" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-10588" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-10589" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10590" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-10591" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10592" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-10593" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10594"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10595" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10596"><span class="mrow" id="MathJax-Span-10597"><span class="mn" id="MathJax-Span-10598" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10599" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10600" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-10601" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10602"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10603" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10604"><span class="mrow" id="MathJax-Span-10605"><span class="mn" id="MathJax-Span-10606" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10607" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10608" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-10609"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10610" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10611"><span class="mrow" id="MathJax-Span-10612"><span class="mn" id="MathJax-Span-10613" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10614"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10615" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10616"><span class="mrow" id="MathJax-Span-10617"><span class="mn" id="MathJax-Span-10618" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.09em, 4.218em, -999.997em); top: 8.2em; left: 0em;"><span class="mo" id="MathJax-Span-10619" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10620" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-10621"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10622" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10623"><span class="mrow" id="MathJax-Span-10624"><span class="mn" id="MathJax-Span-10625" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10626"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10627" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10628"><span class="mrow" id="MathJax-Span-10629"><span class="mn" id="MathJax-Span-10630" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10631" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10632" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-10633"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10634" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10635"><span class="mrow" id="MathJax-Span-10636"><span class="mn" id="MathJax-Span-10637" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10638" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10639" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10640" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-10641"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10642" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10643"><span class="mrow" id="MathJax-Span-10644"><span class="mn" id="MathJax-Span-10645" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10646" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10647" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-10648"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10649" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10650"><span class="mrow" id="MathJax-Span-10651"><span class="mn" id="MathJax-Span-10652" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10653"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10654" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10655"><span class="mrow" id="MathJax-Span-10656"><span class="mn" id="MathJax-Span-10657" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10658" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10659" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-10660"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10661" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10662"><span class="mrow" id="MathJax-Span-10663"><span class="mn" id="MathJax-Span-10664" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10665"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10666" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10667"><span class="mrow" id="MathJax-Span-10668"><span class="mn" id="MathJax-Span-10669" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10670" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10671" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-10672"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10673" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10674"><span class="mrow" id="MathJax-Span-10675"><span class="mn" id="MathJax-Span-10676" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10677" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10678" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10679" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-10680"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10681" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10682"><span class="mrow" id="MathJax-Span-10683"><span class="mn" id="MathJax-Span-10684" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10685" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10686" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-10687"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10688" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10689"><span class="mrow" id="MathJax-Span-10690"><span class="mn" id="MathJax-Span-10691" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10692"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10693" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10694"><span class="mrow" id="MathJax-Span-10695"><span class="mn" id="MathJax-Span-10696" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10697" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10698" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-10699"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10700" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10701"><span class="mrow" id="MathJax-Span-10702"><span class="mn" id="MathJax-Span-10703" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10704"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10705" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10706"><span class="mrow" id="MathJax-Span-10707"><span class="mn" id="MathJax-Span-10708" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10709" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10710" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-10711"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10712" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10713"><span class="mrow" id="MathJax-Span-10714"><span class="mn" id="MathJax-Span-10715" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10716" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10717" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10718" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-10719"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10720" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10721"><span class="mrow" id="MathJax-Span-10722"><span class="mn" id="MathJax-Span-10723" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10724" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10725" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-10726" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10727"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10728" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10729"><span class="mrow" id="MathJax-Span-10730"><span class="mn" id="MathJax-Span-10731" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10732" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10733" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="mi" id="MathJax-Span-10734" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-10735"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10736" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10737"><span class="mrow" id="MathJax-Span-10738"><span class="mn" id="MathJax-Span-10739" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10740" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-10741" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-10742" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10743" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10744" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10745" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-10746"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10747" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10748"><span class="mrow" id="MathJax-Span-10749"><span class="mn" id="MathJax-Span-10750" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10751" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10752" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-10753"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10754" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10755"><span class="mrow" id="MathJax-Span-10756"><span class="mn" id="MathJax-Span-10757" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 14.113em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -14.996em; border-left: 0px solid; width: 0px; height: 16.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>9</mn><msup><mi>m</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>18</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>n</mi><mi>o</mi><mo>+</mo><mn>4</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-198">4 m^{5} n^{4} o^{3} + 6 m^{5} n^{4} o^{2} + 11 m^{5} n^{4} o + 9 m^{5} n^{4} + 16 m^{5} n^{3} o^{3} + 28 m^{5} n^{3} o^{2} + 40 m^{5} n^{3} o + 38 m^{5} n^{3} + 24 m^{5} n^{2} o^{3} + 48 m^{5} n^{2} o^{2} + 51 m^{5} n^{2} o + 57 m^{5} n^{2} + 16 m^{5} n o^{3} + 36 m^{5} n o^{2} + 30 m^{5} n o + 34 m^{5} n + 4 m^{5} o^{3} + 10 m^{5} o^{2} + 8 m^{5} o + 10 m^{5} + 20 m^{4} n^{4} o^{3} + 34 m^{4} n^{4} o^{2} + 45 m^{4} n^{4} o + 40 m^{4} n^{4} + 80 m^{4} n^{3} o^{3} + 156 m^{4} n^{3} o^{2} + 160 m^{4} n^{3} o + 170 m^{4} n^{3} + 120 m^{4} n^{2} o^{3} + 264 m^{4} n^{2} o^{2} + 195 m^{4} n^{2} o + 246 m^{4} n^{2} + 80 m^{4} n o^{3} + 196 m^{4} n o^{2} + 110 m^{4} n o + 136 m^{4} n + 20 m^{4} o^{3} + 54 m^{4} o^{2} + 30 m^{4} o + 40 m^{4} + 40 m^{3} n^{4} o^{3} + 76 m^{3} n^{4} o^{2} + 70 m^{3} n^{4} o + 70 m^{3} n^{4} + 160 m^{3} n^{3} o^{3} + 344 m^{3} n^{3} o^{2} + 240 m^{3} n^{3} o + 300 m^{3} n^{3} + 240 m^{3} n^{2} o^{3} + 576 m^{3} n^{2} o^{2} + 270 m^{3} n^{2} o + 414 m^{3} n^{2} + 160 m^{3} n o^{3} + 424 m^{3} n o^{2} + 140 m^{3} n o + 204 m^{3} n + 40 m^{3} o^{3} + 116 m^{3} o^{2} + 40 m^{3} o + 60 m^{3} + 40 m^{2} n^{4} o^{3} + 84 m^{2} n^{4} o^{2} + 48 m^{2} n^{4} o + 58 m^{2} n^{4} + 160 m^{2} n^{3} o^{3} + 376 m^{2} n^{3} o^{2} + 152 m^{2} n^{3} o + 248 m^{2} n^{3} + 240 m^{2} n^{2} o^{3} + 624 m^{2} n^{2} o^{2} + 138 m^{2} n^{2} o + 312 m^{2} n^{2} + 160 m^{2} n o^{3} + 456 m^{2} n o^{2} + 52 m^{2} n o + 116 m^{2} n + 40 m^{2} o^{3} + 124 m^{2} o^{2} + 18 m^{2} o + 34 m^{2} + 20 m n^{4} o^{3} + 46 m n^{4} o^{2} + 15 m n^{4} o + 19 m n^{4} + 80 m n^{3} o^{3} + 204 m n^{3} o^{2} + 40 m n^{3} o + 82 m n^{3} + 120 m n^{2} o^{3} + 336 m n^{2} o^{2} + 15 m n^{2} o + 81 m n^{2} + 80 m n o^{3} + 244 m n o^{2} - 10 m n o - 2 m n + 20 m o^{3} + 66 m o^{2} + 4 n^{4} o^{3} + 10 n^{4} o^{2} + 3 n^{4} o + 4 n^{4} + 16 n^{3} o^{3} + 44 n^{3} o^{2} + 8 n^{3} o + 18 n^{3} + 24 n^{2} o^{3} + 72 n^{2} o^{2} + 3 n^{2} o + 18 n^{2} + 16 n o^{3} + 52 n o^{2} - 2 n o + 4 o^{3} + 14 o^{2}</script>
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status: 0
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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From weighted AM-GM inequality:
|
||
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<div class="output_area">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-199-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>m</mi><mi>n</mi><mo>&#x2264;</mo><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-10758" style="width: 8.492em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.97em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.97em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-10759"><span class="mn" id="MathJax-Span-10760" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-10761" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10762" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-10763" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-10764" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10765" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10766"><span class="mrow" id="MathJax-Span-10767"><span class="mn" id="MathJax-Span-10768" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10769" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-10770" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10771" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10772"><span class="mrow" id="MathJax-Span-10773"><span class="mn" id="MathJax-Span-10774" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>m</mi><mi>n</mi><mo>≤</mo><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-199">2 m n \le m^{2}+n^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
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<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-200-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>n</mi><mi>o</mi><mo>&#x2264;</mo><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-10775" style="width: 7.614em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.209em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.21em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-10776"><span class="mn" id="MathJax-Span-10777" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-10778" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10779" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10780" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-10781" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10782" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10783"><span class="mrow" id="MathJax-Span-10784"><span class="mn" id="MathJax-Span-10785" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10786" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-10787" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10788" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10789"><span class="mrow" id="MathJax-Span-10790"><span class="mn" id="MathJax-Span-10791" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>n</mi><mi>o</mi><mo>≤</mo><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-200">2 n o \le n^{2}+o^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-201-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>10</mn><mi>m</mi><mi>n</mi><mi>o</mi><mo>&#x2264;</mo><mn>2</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>4</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-10792" style="width: 20.378em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.689em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1016.69em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-10793"><span class="mn" id="MathJax-Span-10794" style="font-family: MathJax_Main;">10</span><span class="mi" id="MathJax-Span-10795" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-10796" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-10797" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10798" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-10799" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-10800"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10801" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10802"><span class="mrow" id="MathJax-Span-10803"><span class="mn" id="MathJax-Span-10804" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10805" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10806" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-10807" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10808"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10809" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10810"><span class="mrow" id="MathJax-Span-10811"><span class="mn" id="MathJax-Span-10812" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10813" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10814" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10815" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-10816" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-10817"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10818" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10819"><span class="mrow" id="MathJax-Span-10820"><span class="mn" id="MathJax-Span-10821" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10822" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10823" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-10824"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10825" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10826"><span class="mrow" id="MathJax-Span-10827"><span class="mn" id="MathJax-Span-10828" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>10</mn><mi>m</mi><mi>n</mi><mi>o</mi><mo>≤</mo><mn>2</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>4</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-201">10 m n o \le 2 m^{2}+2 m n^{2} o+4 m o^{2}+2 n^{3}</script>
|
||
</div>
|
||
|
||
</div>
|
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|
||
<div class="output_area">
|
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||
<div class="prompt"></div>
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|
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|
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<div class="output_latex output_subarea ">
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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>336</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>13</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>81</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>80</mn><mi>m</mi><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>244</mn><mi>m</mi><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>62</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>4</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>44</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>13</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-10829" style="width: 100%; display: inline-block; min-width: 68.972em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(13.586em, 1056.5em, 27.579em, -999.997em); top: -14.634em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-10830"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1056.5em, 4.277em, -999.997em); top: -3.978em; left: 50%; margin-left: -28.276em;"><span class="mn" id="MathJax-Span-10831" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-10832" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-10833" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-10834"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10835" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10836"><span class="mrow" id="MathJax-Span-10837"><span class="mn" id="MathJax-Span-10838" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10839"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10840" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10841"><span class="mrow" id="MathJax-Span-10842"><span class="mn" id="MathJax-Span-10843" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10844"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10845" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10846"><span class="mrow" id="MathJax-Span-10847"><span class="mn" id="MathJax-Span-10848" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10849" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10850" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-10851"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10852" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10853"><span class="mrow" id="MathJax-Span-10854"><span class="mn" id="MathJax-Span-10855" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10856"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10857" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10858"><span class="mrow" id="MathJax-Span-10859"><span class="mn" id="MathJax-Span-10860" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10861"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10862" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10863"><span class="mrow" id="MathJax-Span-10864"><span class="mn" id="MathJax-Span-10865" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10866" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10867" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="msubsup" id="MathJax-Span-10868"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10869" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10870"><span class="mrow" id="MathJax-Span-10871"><span class="mn" id="MathJax-Span-10872" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10873"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10874" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10875"><span class="mrow" id="MathJax-Span-10876"><span class="mn" id="MathJax-Span-10877" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10878" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10879" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10880" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-10881"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10882" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10883"><span class="mrow" id="MathJax-Span-10884"><span class="mn" id="MathJax-Span-10885" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10886"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10887" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10888"><span class="mrow" id="MathJax-Span-10889"><span class="mn" id="MathJax-Span-10890" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10891" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10892" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-10893"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10894" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10895"><span class="mrow" id="MathJax-Span-10896"><span class="mn" id="MathJax-Span-10897" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10898"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10899" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10900"><span class="mrow" id="MathJax-Span-10901"><span class="mn" id="MathJax-Span-10902" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10903"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10904" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10905"><span class="mrow" id="MathJax-Span-10906"><span class="mn" id="MathJax-Span-10907" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10908" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10909" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-10910"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10911" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10912"><span class="mrow" id="MathJax-Span-10913"><span class="mn" id="MathJax-Span-10914" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10915"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10916" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10917"><span class="mrow" id="MathJax-Span-10918"><span class="mn" id="MathJax-Span-10919" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10920"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10921" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10922"><span class="mrow" id="MathJax-Span-10923"><span class="mn" id="MathJax-Span-10924" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10925" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10926" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-10927"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10928" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10929"><span class="mrow" id="MathJax-Span-10930"><span class="mn" id="MathJax-Span-10931" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10932"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10933" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10934"><span class="mrow" id="MathJax-Span-10935"><span class="mn" id="MathJax-Span-10936" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10937" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-10938" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10939" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-10940"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10941" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10942"><span class="mrow" id="MathJax-Span-10943"><span class="mn" id="MathJax-Span-10944" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10945"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10946" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10947"><span class="mrow" id="MathJax-Span-10948"><span class="mn" id="MathJax-Span-10949" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10950" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10951" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-10952"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10953" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10954"><span class="mrow" id="MathJax-Span-10955"><span class="mn" id="MathJax-Span-10956" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10957"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10958" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10959"><span class="mrow" id="MathJax-Span-10960"><span class="mn" id="MathJax-Span-10961" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10962"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10963" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10964"><span class="mrow" id="MathJax-Span-10965"><span class="mn" id="MathJax-Span-10966" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10967" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10968" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-10969"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10970" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10971"><span class="mrow" id="MathJax-Span-10972"><span class="mn" id="MathJax-Span-10973" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10974"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10975" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10976"><span class="mrow" id="MathJax-Span-10977"><span class="mn" id="MathJax-Span-10978" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10979"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10980" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-10981"><span class="mrow" id="MathJax-Span-10982"><span class="mn" id="MathJax-Span-10983" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-10984" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-10985" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-10986"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10987" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-10988"><span class="mrow" id="MathJax-Span-10989"><span class="mn" id="MathJax-Span-10990" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-10991"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-10992" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-10993"><span class="mrow" id="MathJax-Span-10994"><span class="mn" id="MathJax-Span-10995" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-10996" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.92em, 4.218em, -999.997em); top: -2.515em; left: 50%; margin-left: -27.456em;"><span class="mo" id="MathJax-Span-10997" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-10998" style="font-family: MathJax_Main; padding-left: 0.237em;">57</span><span class="msubsup" id="MathJax-Span-10999"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11000" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11001"><span class="mrow" id="MathJax-Span-11002"><span class="mn" id="MathJax-Span-11003" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11004"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11005" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11006"><span class="mrow" id="MathJax-Span-11007"><span class="mn" id="MathJax-Span-11008" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11009" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11010" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-11011"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11012" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11013"><span class="mrow" id="MathJax-Span-11014"><span class="mn" id="MathJax-Span-11015" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11016" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11017"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11018" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11019"><span class="mrow" id="MathJax-Span-11020"><span class="mn" id="MathJax-Span-11021" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11022" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11023" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-11024"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11025" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11026"><span class="mrow" id="MathJax-Span-11027"><span class="mn" id="MathJax-Span-11028" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11029" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11030"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11031" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11032"><span class="mrow" id="MathJax-Span-11033"><span class="mn" id="MathJax-Span-11034" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11035" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11036" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-11037"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11038" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11039"><span class="mrow" id="MathJax-Span-11040"><span class="mn" id="MathJax-Span-11041" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11042" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-11043" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11044" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11045" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-11046"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11047" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11048"><span class="mrow" id="MathJax-Span-11049"><span class="mn" id="MathJax-Span-11050" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11051" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-11052" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11053" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-11054"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11055" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11056"><span class="mrow" id="MathJax-Span-11057"><span class="mn" id="MathJax-Span-11058" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11059"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11060" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11061"><span class="mrow" id="MathJax-Span-11062"><span class="mn" id="MathJax-Span-11063" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11064" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11065" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-11066"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11067" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11068"><span class="mrow" id="MathJax-Span-11069"><span class="mn" id="MathJax-Span-11070" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11071"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11072" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11073"><span class="mrow" id="MathJax-Span-11074"><span class="mn" id="MathJax-Span-11075" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11076" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11077" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-11078"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11079" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11080"><span class="mrow" id="MathJax-Span-11081"><span class="mn" id="MathJax-Span-11082" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11083" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11084" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11085" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-11086"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11087" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11088"><span class="mrow" id="MathJax-Span-11089"><span class="mn" id="MathJax-Span-11090" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11091" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11092" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-11093"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11094" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11095"><span class="mrow" id="MathJax-Span-11096"><span class="mn" id="MathJax-Span-11097" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11098"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11099" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11100"><span class="mrow" id="MathJax-Span-11101"><span class="mn" id="MathJax-Span-11102" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11103"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11104" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11105"><span class="mrow" id="MathJax-Span-11106"><span class="mn" id="MathJax-Span-11107" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11108" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11109" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-11110"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11111" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11112"><span class="mrow" id="MathJax-Span-11113"><span class="mn" id="MathJax-Span-11114" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11115"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11116" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11117"><span class="mrow" id="MathJax-Span-11118"><span class="mn" id="MathJax-Span-11119" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11120"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11121" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11122"><span class="mrow" id="MathJax-Span-11123"><span class="mn" id="MathJax-Span-11124" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11125" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11126" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-11127"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11128" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11129"><span class="mrow" id="MathJax-Span-11130"><span class="mn" id="MathJax-Span-11131" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11132"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11133" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11134"><span class="mrow" id="MathJax-Span-11135"><span class="mn" id="MathJax-Span-11136" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11137" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.22em, 4.218em, -999.997em); top: -1.109em; left: 50%; margin-left: -27.105em;"><span class="mo" id="MathJax-Span-11138" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11139" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11140"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11141" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11142"><span class="mrow" id="MathJax-Span-11143"><span class="mn" id="MathJax-Span-11144" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11145"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11146" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11147"><span class="mrow" id="MathJax-Span-11148"><span class="mn" id="MathJax-Span-11149" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11150" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11151" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="msubsup" id="MathJax-Span-11152"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11153" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11154"><span class="mrow" id="MathJax-Span-11155"><span class="mn" id="MathJax-Span-11156" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11157"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11158" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11159"><span class="mrow" id="MathJax-Span-11160"><span class="mn" id="MathJax-Span-11161" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11162"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11163" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11164"><span class="mrow" id="MathJax-Span-11165"><span class="mn" id="MathJax-Span-11166" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11167" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11168" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-11169"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11170" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11171"><span class="mrow" id="MathJax-Span-11172"><span class="mn" id="MathJax-Span-11173" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11174"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11175" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11176"><span class="mrow" id="MathJax-Span-11177"><span class="mn" id="MathJax-Span-11178" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11179"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11180" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11181"><span class="mrow" id="MathJax-Span-11182"><span class="mn" id="MathJax-Span-11183" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11184" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11185" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-11186"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11187" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11188"><span class="mrow" id="MathJax-Span-11189"><span class="mn" id="MathJax-Span-11190" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11191"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11192" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11193"><span class="mrow" id="MathJax-Span-11194"><span class="mn" id="MathJax-Span-11195" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11196" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11197" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11198" style="font-family: MathJax_Main; padding-left: 0.237em;">170</span><span class="msubsup" id="MathJax-Span-11199"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11200" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11201"><span class="mrow" id="MathJax-Span-11202"><span class="mn" id="MathJax-Span-11203" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11204"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11205" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11206"><span class="mrow" id="MathJax-Span-11207"><span class="mn" id="MathJax-Span-11208" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11209" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11210" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-11211"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11212" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11213"><span class="mrow" id="MathJax-Span-11214"><span class="mn" id="MathJax-Span-11215" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11216"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11217" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11218"><span class="mrow" id="MathJax-Span-11219"><span class="mn" id="MathJax-Span-11220" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11221"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11222" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11223"><span class="mrow" id="MathJax-Span-11224"><span class="mn" id="MathJax-Span-11225" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11226" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11227" style="font-family: MathJax_Main; padding-left: 0.237em;">264</span><span class="msubsup" id="MathJax-Span-11228"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11229" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11230"><span class="mrow" id="MathJax-Span-11231"><span class="mn" id="MathJax-Span-11232" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11233"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11234" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11235"><span class="mrow" id="MathJax-Span-11236"><span class="mn" id="MathJax-Span-11237" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11238"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11239" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11240"><span class="mrow" id="MathJax-Span-11241"><span class="mn" id="MathJax-Span-11242" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11243" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11244" style="font-family: MathJax_Main; padding-left: 0.237em;">195</span><span class="msubsup" id="MathJax-Span-11245"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11246" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11247"><span class="mrow" id="MathJax-Span-11248"><span class="mn" id="MathJax-Span-11249" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11250"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11251" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11252"><span class="mrow" id="MathJax-Span-11253"><span class="mn" id="MathJax-Span-11254" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11255" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11256" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11257" style="font-family: MathJax_Main; padding-left: 0.237em;">246</span><span class="msubsup" id="MathJax-Span-11258"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11259" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11260"><span class="mrow" id="MathJax-Span-11261"><span class="mn" id="MathJax-Span-11262" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11263"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11264" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11265"><span class="mrow" id="MathJax-Span-11266"><span class="mn" id="MathJax-Span-11267" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11268" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11269" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="msubsup" id="MathJax-Span-11270"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11271" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11272"><span class="mrow" id="MathJax-Span-11273"><span class="mn" id="MathJax-Span-11274" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11275" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11276"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11277" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11278"><span class="mrow" id="MathJax-Span-11279"><span class="mn" id="MathJax-Span-11280" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.35em, 4.218em, -999.997em); top: 0.296em; left: 50%; margin-left: -26.168em;"><span class="mo" id="MathJax-Span-11281" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11282" style="font-family: MathJax_Main; padding-left: 0.237em;">196</span><span class="msubsup" id="MathJax-Span-11283"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11284" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11285"><span class="mrow" id="MathJax-Span-11286"><span class="mn" id="MathJax-Span-11287" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11288" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11289"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11290" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11291"><span class="mrow" id="MathJax-Span-11292"><span class="mn" id="MathJax-Span-11293" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11294" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11295" style="font-family: MathJax_Main; padding-left: 0.237em;">110</span><span class="msubsup" id="MathJax-Span-11296"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11297" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11298"><span class="mrow" id="MathJax-Span-11299"><span class="mn" id="MathJax-Span-11300" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11301" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-11302" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11303" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11304" style="font-family: MathJax_Main; padding-left: 0.237em;">136</span><span class="msubsup" id="MathJax-Span-11305"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11306" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11307"><span class="mrow" id="MathJax-Span-11308"><span class="mn" id="MathJax-Span-11309" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11310" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-11311" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11312" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-11313"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11314" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11315"><span class="mrow" id="MathJax-Span-11316"><span class="mn" id="MathJax-Span-11317" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11318"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11319" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11320"><span class="mrow" id="MathJax-Span-11321"><span class="mn" id="MathJax-Span-11322" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11323" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11324" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-11325"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11326" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11327"><span class="mrow" id="MathJax-Span-11328"><span class="mn" id="MathJax-Span-11329" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11330"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11331" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11332"><span class="mrow" id="MathJax-Span-11333"><span class="mn" id="MathJax-Span-11334" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11335" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11336" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-11337"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11338" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11339"><span class="mrow" id="MathJax-Span-11340"><span class="mn" id="MathJax-Span-11341" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11342" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11343" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11344" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11345"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11346" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11347"><span class="mrow" id="MathJax-Span-11348"><span class="mn" id="MathJax-Span-11349" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11350" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11351" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11352"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11353" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11354"><span class="mrow" id="MathJax-Span-11355"><span class="mn" id="MathJax-Span-11356" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11357"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11358" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11359"><span class="mrow" id="MathJax-Span-11360"><span class="mn" id="MathJax-Span-11361" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11362"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11363" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11364"><span class="mrow" id="MathJax-Span-11365"><span class="mn" id="MathJax-Span-11366" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11367" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11368" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-11369"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11370" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11371"><span class="mrow" id="MathJax-Span-11372"><span class="mn" id="MathJax-Span-11373" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11374"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11375" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11376"><span class="mrow" id="MathJax-Span-11377"><span class="mn" id="MathJax-Span-11378" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11379"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11380" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11381"><span class="mrow" id="MathJax-Span-11382"><span class="mn" id="MathJax-Span-11383" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11384" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11385" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-11386"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11387" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11388"><span class="mrow" id="MathJax-Span-11389"><span class="mn" id="MathJax-Span-11390" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11391"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11392" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11393"><span class="mrow" id="MathJax-Span-11394"><span class="mn" id="MathJax-Span-11395" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11396" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11397" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11398" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-11399"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11400" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11401"><span class="mrow" id="MathJax-Span-11402"><span class="mn" id="MathJax-Span-11403" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11404"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11405" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11406"><span class="mrow" id="MathJax-Span-11407"><span class="mn" id="MathJax-Span-11408" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.21em, 4.218em, -999.997em); top: 1.701em; left: 50%; margin-left: -28.1em;"><span class="mo" id="MathJax-Span-11409" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11410" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-11411"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11412" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11413"><span class="mrow" id="MathJax-Span-11414"><span class="mn" id="MathJax-Span-11415" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11416"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11417" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11418"><span class="mrow" id="MathJax-Span-11419"><span class="mn" id="MathJax-Span-11420" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11421"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11422" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11423"><span class="mrow" id="MathJax-Span-11424"><span class="mn" id="MathJax-Span-11425" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11426" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11427" style="font-family: MathJax_Main; padding-left: 0.237em;">344</span><span class="msubsup" id="MathJax-Span-11428"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11429" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11430"><span class="mrow" id="MathJax-Span-11431"><span class="mn" id="MathJax-Span-11432" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11433"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11434" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11435"><span class="mrow" id="MathJax-Span-11436"><span class="mn" id="MathJax-Span-11437" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11438"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11439" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11440"><span class="mrow" id="MathJax-Span-11441"><span class="mn" id="MathJax-Span-11442" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11443" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11444" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-11445"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11446" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11447"><span class="mrow" id="MathJax-Span-11448"><span class="mn" id="MathJax-Span-11449" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11450"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11451" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11452"><span class="mrow" id="MathJax-Span-11453"><span class="mn" id="MathJax-Span-11454" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11455" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11456" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11457" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-11458"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11459" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11460"><span class="mrow" id="MathJax-Span-11461"><span class="mn" id="MathJax-Span-11462" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11463"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11464" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11465"><span class="mrow" id="MathJax-Span-11466"><span class="mn" id="MathJax-Span-11467" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11468" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11469" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-11470"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11471" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11472"><span class="mrow" id="MathJax-Span-11473"><span class="mn" id="MathJax-Span-11474" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11475"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11476" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11477"><span class="mrow" id="MathJax-Span-11478"><span class="mn" id="MathJax-Span-11479" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11480"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11481" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11482"><span class="mrow" id="MathJax-Span-11483"><span class="mn" id="MathJax-Span-11484" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11485" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11486" style="font-family: MathJax_Main; padding-left: 0.237em;">576</span><span class="msubsup" id="MathJax-Span-11487"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11488" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11489"><span class="mrow" id="MathJax-Span-11490"><span class="mn" id="MathJax-Span-11491" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11492"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11493" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11494"><span class="mrow" id="MathJax-Span-11495"><span class="mn" id="MathJax-Span-11496" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11497"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11498" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11499"><span class="mrow" id="MathJax-Span-11500"><span class="mn" id="MathJax-Span-11501" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11502" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11503" style="font-family: MathJax_Main; padding-left: 0.237em;">270</span><span class="msubsup" id="MathJax-Span-11504"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11505" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11506"><span class="mrow" id="MathJax-Span-11507"><span class="mn" id="MathJax-Span-11508" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11509"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11510" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11511"><span class="mrow" id="MathJax-Span-11512"><span class="mn" id="MathJax-Span-11513" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11514" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11515" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11516" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-11517"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11518" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11519"><span class="mrow" id="MathJax-Span-11520"><span class="mn" id="MathJax-Span-11521" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11522"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11523" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11524"><span class="mrow" id="MathJax-Span-11525"><span class="mn" id="MathJax-Span-11526" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11527" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11528" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-11529"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11530" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11531"><span class="mrow" id="MathJax-Span-11532"><span class="mn" id="MathJax-Span-11533" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11534" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11535"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11536" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11537"><span class="mrow" id="MathJax-Span-11538"><span class="mn" id="MathJax-Span-11539" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11540" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11541" style="font-family: MathJax_Main; padding-left: 0.237em;">424</span><span class="msubsup" id="MathJax-Span-11542"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11543" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11544"><span class="mrow" id="MathJax-Span-11545"><span class="mn" id="MathJax-Span-11546" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11547" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11548"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11549" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11550"><span class="mrow" id="MathJax-Span-11551"><span class="mn" id="MathJax-Span-11552" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.28em, 4.218em, -999.997em); top: 3.106em; left: 50%; margin-left: -26.636em;"><span class="mo" id="MathJax-Span-11553" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11554" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-11555"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11556" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11557"><span class="mrow" id="MathJax-Span-11558"><span class="mn" id="MathJax-Span-11559" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11560" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-11561" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11562" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11563" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="msubsup" id="MathJax-Span-11564"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11565" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11566"><span class="mrow" id="MathJax-Span-11567"><span class="mn" id="MathJax-Span-11568" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11569" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-11570" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11571" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11572"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11573" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11574"><span class="mrow" id="MathJax-Span-11575"><span class="mn" id="MathJax-Span-11576" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11577"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11578" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11579"><span class="mrow" id="MathJax-Span-11580"><span class="mn" id="MathJax-Span-11581" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11582" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11583" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-11584"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11585" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11586"><span class="mrow" id="MathJax-Span-11587"><span class="mn" id="MathJax-Span-11588" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11589"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11590" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11591"><span class="mrow" id="MathJax-Span-11592"><span class="mn" id="MathJax-Span-11593" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11594" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11595" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11596"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11597" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11598"><span class="mrow" id="MathJax-Span-11599"><span class="mn" id="MathJax-Span-11600" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11601" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11603" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-11604"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11605" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11606"><span class="mrow" id="MathJax-Span-11607"><span class="mn" id="MathJax-Span-11608" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11609" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11610" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11611"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11612" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11613"><span class="mrow" id="MathJax-Span-11614"><span class="mn" id="MathJax-Span-11615" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11616"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11617" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11618"><span class="mrow" id="MathJax-Span-11619"><span class="mn" id="MathJax-Span-11620" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11621"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11622" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11623"><span class="mrow" id="MathJax-Span-11624"><span class="mn" id="MathJax-Span-11625" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11626" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11627" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-11628"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11629" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11630"><span class="mrow" id="MathJax-Span-11631"><span class="mn" id="MathJax-Span-11632" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11633"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11634" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11635"><span class="mrow" id="MathJax-Span-11636"><span class="mn" id="MathJax-Span-11637" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11638"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11639" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11640"><span class="mrow" id="MathJax-Span-11641"><span class="mn" id="MathJax-Span-11642" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11643" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11644" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-11645"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11646" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11647"><span class="mrow" id="MathJax-Span-11648"><span class="mn" id="MathJax-Span-11649" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11650"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11651" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11652"><span class="mrow" id="MathJax-Span-11653"><span class="mn" id="MathJax-Span-11654" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11655" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11656" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11657" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-11658"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11659" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11660"><span class="mrow" id="MathJax-Span-11661"><span class="mn" id="MathJax-Span-11662" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11663"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11664" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11665"><span class="mrow" id="MathJax-Span-11666"><span class="mn" id="MathJax-Span-11667" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11668" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11669" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-11670"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11671" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11672"><span class="mrow" id="MathJax-Span-11673"><span class="mn" id="MathJax-Span-11674" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11675"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11676" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11677"><span class="mrow" id="MathJax-Span-11678"><span class="mn" id="MathJax-Span-11679" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11680"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11681" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11682"><span class="mrow" id="MathJax-Span-11683"><span class="mn" id="MathJax-Span-11684" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.86em, 4.218em, -999.997em); top: 4.511em; left: 50%; margin-left: -27.456em;"><span class="mo" id="MathJax-Span-11685" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11686" style="font-family: MathJax_Main; padding-left: 0.237em;">376</span><span class="msubsup" id="MathJax-Span-11687"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11688" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11689"><span class="mrow" id="MathJax-Span-11690"><span class="mn" id="MathJax-Span-11691" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11692"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11693" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11694"><span class="mrow" id="MathJax-Span-11695"><span class="mn" id="MathJax-Span-11696" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11697"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11698" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11699"><span class="mrow" id="MathJax-Span-11700"><span class="mn" id="MathJax-Span-11701" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11702" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11703" style="font-family: MathJax_Main; padding-left: 0.237em;">152</span><span class="msubsup" id="MathJax-Span-11704"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11705" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11706"><span class="mrow" id="MathJax-Span-11707"><span class="mn" id="MathJax-Span-11708" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11709"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11710" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11711"><span class="mrow" id="MathJax-Span-11712"><span class="mn" id="MathJax-Span-11713" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11714" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11715" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11716" style="font-family: MathJax_Main; padding-left: 0.237em;">248</span><span class="msubsup" id="MathJax-Span-11717"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11718" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11719"><span class="mrow" id="MathJax-Span-11720"><span class="mn" id="MathJax-Span-11721" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11722"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11723" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11724"><span class="mrow" id="MathJax-Span-11725"><span class="mn" id="MathJax-Span-11726" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11727" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11728" style="font-family: MathJax_Main; padding-left: 0.237em;">240</span><span class="msubsup" id="MathJax-Span-11729"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11730" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11731"><span class="mrow" id="MathJax-Span-11732"><span class="mn" id="MathJax-Span-11733" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11734"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11735" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11736"><span class="mrow" id="MathJax-Span-11737"><span class="mn" id="MathJax-Span-11738" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11739"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11740" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11741"><span class="mrow" id="MathJax-Span-11742"><span class="mn" id="MathJax-Span-11743" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11744" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11745" style="font-family: MathJax_Main; padding-left: 0.237em;">624</span><span class="msubsup" id="MathJax-Span-11746"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11747" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11748"><span class="mrow" id="MathJax-Span-11749"><span class="mn" id="MathJax-Span-11750" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11751"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11752" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11753"><span class="mrow" id="MathJax-Span-11754"><span class="mn" id="MathJax-Span-11755" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11756"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11757" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11758"><span class="mrow" id="MathJax-Span-11759"><span class="mn" id="MathJax-Span-11760" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11761" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11762" style="font-family: MathJax_Main; padding-left: 0.237em;">138</span><span class="msubsup" id="MathJax-Span-11763"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11764" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11765"><span class="mrow" id="MathJax-Span-11766"><span class="mn" id="MathJax-Span-11767" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11768"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11769" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11770"><span class="mrow" id="MathJax-Span-11771"><span class="mn" id="MathJax-Span-11772" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11773" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11774" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11775" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-11776"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11777" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11778"><span class="mrow" id="MathJax-Span-11779"><span class="mn" id="MathJax-Span-11780" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11781"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11782" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11783"><span class="mrow" id="MathJax-Span-11784"><span class="mn" id="MathJax-Span-11785" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11786" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11787" style="font-family: MathJax_Main; padding-left: 0.237em;">160</span><span class="msubsup" id="MathJax-Span-11788"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11789" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11790"><span class="mrow" id="MathJax-Span-11791"><span class="mn" id="MathJax-Span-11792" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11793" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11794"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11795" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11796"><span class="mrow" id="MathJax-Span-11797"><span class="mn" id="MathJax-Span-11798" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11799" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11800" style="font-family: MathJax_Main; padding-left: 0.237em;">456</span><span class="msubsup" id="MathJax-Span-11801"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11802" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11803"><span class="mrow" id="MathJax-Span-11804"><span class="mn" id="MathJax-Span-11805" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11806" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-11807"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11808" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11809"><span class="mrow" id="MathJax-Span-11810"><span class="mn" id="MathJax-Span-11811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11812" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11813" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="msubsup" id="MathJax-Span-11814"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11815" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11816"><span class="mrow" id="MathJax-Span-11817"><span class="mn" id="MathJax-Span-11818" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11819" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mi" id="MathJax-Span-11820" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.68em, 4.218em, -999.997em); top: 5.916em; left: 50%; margin-left: -27.866em;"><span class="mo" id="MathJax-Span-11821" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11822" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-11823"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11824" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11825"><span class="mrow" id="MathJax-Span-11826"><span class="mn" id="MathJax-Span-11827" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11828" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-11829" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11830" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-11831"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11832" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11833"><span class="mrow" id="MathJax-Span-11834"><span class="mn" id="MathJax-Span-11835" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11836"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11837" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11838"><span class="mrow" id="MathJax-Span-11839"><span class="mn" id="MathJax-Span-11840" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11841" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11842" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-11843"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11844" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11845"><span class="mrow" id="MathJax-Span-11846"><span class="mn" id="MathJax-Span-11847" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11848"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11849" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11850"><span class="mrow" id="MathJax-Span-11851"><span class="mn" id="MathJax-Span-11852" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11853" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11854" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-11855"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11856" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11857"><span class="mrow" id="MathJax-Span-11858"><span class="mn" id="MathJax-Span-11859" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11860" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11861" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11862" style="font-family: MathJax_Main; padding-left: 0.237em;">31</span><span class="msubsup" id="MathJax-Span-11863"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.88em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11864" style="font-family: MathJax_Math; font-style: italic;">m</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.881em;"><span class="texatom" id="MathJax-Span-11865"><span class="mrow" id="MathJax-Span-11866"><span class="mn" id="MathJax-Span-11867" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11868" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11869" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-11870" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11871"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11872" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11873"><span class="mrow" id="MathJax-Span-11874"><span class="mn" id="MathJax-Span-11875" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11876"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11877" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11878"><span class="mrow" id="MathJax-Span-11879"><span class="mn" id="MathJax-Span-11880" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11881" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11882" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="mi" id="MathJax-Span-11883" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11884"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11885" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11886"><span class="mrow" id="MathJax-Span-11887"><span class="mn" id="MathJax-Span-11888" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11889"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11890" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11891"><span class="mrow" id="MathJax-Span-11892"><span class="mn" id="MathJax-Span-11893" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11894" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11895" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="mi" id="MathJax-Span-11896" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11897"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11898" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11899"><span class="mrow" id="MathJax-Span-11900"><span class="mn" id="MathJax-Span-11901" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11902" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11903" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11904" style="font-family: MathJax_Main; padding-left: 0.237em;">19</span><span class="mi" id="MathJax-Span-11905" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11906"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11907" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11908"><span class="mrow" id="MathJax-Span-11909"><span class="mn" id="MathJax-Span-11910" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11911" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11912" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="mi" id="MathJax-Span-11913" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11914"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11915" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11916"><span class="mrow" id="MathJax-Span-11917"><span class="mn" id="MathJax-Span-11918" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11919"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11920" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11921"><span class="mrow" id="MathJax-Span-11922"><span class="mn" id="MathJax-Span-11923" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11924" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11925" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="mi" id="MathJax-Span-11926" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11927"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11928" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11929"><span class="mrow" id="MathJax-Span-11930"><span class="mn" id="MathJax-Span-11931" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11932"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11933" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11934"><span class="mrow" id="MathJax-Span-11935"><span class="mn" id="MathJax-Span-11936" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11937" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11938" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="mi" id="MathJax-Span-11939" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11940"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11941" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11942"><span class="mrow" id="MathJax-Span-11943"><span class="mn" id="MathJax-Span-11944" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11945" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.68em, 4.218em, -999.997em); top: 7.321em; left: 50%; margin-left: -27.807em;"><span class="mo" id="MathJax-Span-11946" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-11947" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="mi" id="MathJax-Span-11948" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11949"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11950" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11951"><span class="mrow" id="MathJax-Span-11952"><span class="mn" id="MathJax-Span-11953" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11954" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11955" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="mi" id="MathJax-Span-11956" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11957"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11958" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11959"><span class="mrow" id="MathJax-Span-11960"><span class="mn" id="MathJax-Span-11961" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11962"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11963" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11964"><span class="mrow" id="MathJax-Span-11965"><span class="mn" id="MathJax-Span-11966" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11967" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11968" style="font-family: MathJax_Main; padding-left: 0.237em;">336</span><span class="mi" id="MathJax-Span-11969" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11970"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11971" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11972"><span class="mrow" id="MathJax-Span-11973"><span class="mn" id="MathJax-Span-11974" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-11975"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11976" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-11977"><span class="mrow" id="MathJax-Span-11978"><span class="mn" id="MathJax-Span-11979" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11980" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11981" style="font-family: MathJax_Main; padding-left: 0.237em;">13</span><span class="mi" id="MathJax-Span-11982" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11983"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11984" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11985"><span class="mrow" id="MathJax-Span-11986"><span class="mn" id="MathJax-Span-11987" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-11988" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-11989" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11990" style="font-family: MathJax_Main; padding-left: 0.237em;">81</span><span class="mi" id="MathJax-Span-11991" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-11992"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-11993" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-11994"><span class="mrow" id="MathJax-Span-11995"><span class="mn" id="MathJax-Span-11996" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-11997" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-11998" style="font-family: MathJax_Main; padding-left: 0.237em;">80</span><span class="mi" id="MathJax-Span-11999" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-12000" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-12001"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12002" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12003"><span class="mrow" id="MathJax-Span-12004"><span class="mn" id="MathJax-Span-12005" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12006" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12007" style="font-family: MathJax_Main; padding-left: 0.237em;">244</span><span class="mi" id="MathJax-Span-12008" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="mi" id="MathJax-Span-12009" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-12010"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12011" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12012"><span class="mrow" id="MathJax-Span-12013"><span class="mn" id="MathJax-Span-12014" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12015" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12016" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-12017" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-12018"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12019" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12020"><span class="mrow" id="MathJax-Span-12021"><span class="mn" id="MathJax-Span-12022" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12023" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12024" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="mi" id="MathJax-Span-12025" style="font-family: MathJax_Math; font-style: italic;">m</span><span class="msubsup" id="MathJax-Span-12026"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12027" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12028"><span class="mrow" id="MathJax-Span-12029"><span class="mn" id="MathJax-Span-12030" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12031" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12032" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12033"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12034" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12035"><span class="mrow" id="MathJax-Span-12036"><span class="mn" id="MathJax-Span-12037" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12038"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12039" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12040"><span class="mrow" id="MathJax-Span-12041"><span class="mn" id="MathJax-Span-12042" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12043" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12044" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-12045"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12046" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12047"><span class="mrow" id="MathJax-Span-12048"><span class="mn" id="MathJax-Span-12049" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12050"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12051" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12052"><span class="mrow" id="MathJax-Span-12053"><span class="mn" id="MathJax-Span-12054" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12055" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12056" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-12057"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12058" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12059"><span class="mrow" id="MathJax-Span-12060"><span class="mn" id="MathJax-Span-12061" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12062" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-12063" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12064" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12065"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12066" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12067"><span class="mrow" id="MathJax-Span-12068"><span class="mn" id="MathJax-Span-12069" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1042.98em, 4.218em, -999.997em); top: 8.668em; left: 50%; margin-left: -21.484em;"><span class="mo" id="MathJax-Span-12070" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-12071" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-12072"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12073" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12074"><span class="mrow" id="MathJax-Span-12075"><span class="mn" id="MathJax-Span-12076" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12077"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12078" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12079"><span class="mrow" id="MathJax-Span-12080"><span class="mn" id="MathJax-Span-12081" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12082" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12083" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-12084"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12085" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12086"><span class="mrow" id="MathJax-Span-12087"><span class="mn" id="MathJax-Span-12088" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12089"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12090" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12091"><span class="mrow" id="MathJax-Span-12092"><span class="mn" id="MathJax-Span-12093" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12094" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12095" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-12096"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12097" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12098"><span class="mrow" id="MathJax-Span-12099"><span class="mn" id="MathJax-Span-12100" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12101" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-12102" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12103" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-12104"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12105" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12106"><span class="mrow" id="MathJax-Span-12107"><span class="mn" id="MathJax-Span-12108" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12109" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12110" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-12111"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12112" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12113"><span class="mrow" id="MathJax-Span-12114"><span class="mn" id="MathJax-Span-12115" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12116"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12117" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12118"><span class="mrow" id="MathJax-Span-12119"><span class="mn" id="MathJax-Span-12120" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12121" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12122" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-12123"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12124" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12125"><span class="mrow" id="MathJax-Span-12126"><span class="mn" id="MathJax-Span-12127" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12128"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12129" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12130"><span class="mrow" id="MathJax-Span-12131"><span class="mn" id="MathJax-Span-12132" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12133" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12134" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="msubsup" id="MathJax-Span-12135"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12136" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12137"><span class="mrow" id="MathJax-Span-12138"><span class="mn" id="MathJax-Span-12139" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12140" style="font-family: MathJax_Math; font-style: italic;">o</span><span class="mo" id="MathJax-Span-12141" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12142" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-12143"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.59em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12144" style="font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-12145"><span class="mrow" id="MathJax-Span-12146"><span class="mn" id="MathJax-Span-12147" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12148" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12149" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="mi" id="MathJax-Span-12150" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-12151"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12152" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12153"><span class="mrow" id="MathJax-Span-12154"><span class="mn" id="MathJax-Span-12155" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12156" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12157" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="mi" id="MathJax-Span-12158" style="font-family: MathJax_Math; font-style: italic;">n</span><span class="msubsup" id="MathJax-Span-12159"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12160" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12161"><span class="mrow" id="MathJax-Span-12162"><span class="mn" id="MathJax-Span-12163" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12164" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12165" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12166"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12167" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12168"><span class="mrow" id="MathJax-Span-12169"><span class="mn" id="MathJax-Span-12170" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12171" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12172" style="font-family: MathJax_Main; padding-left: 0.237em;">13</span><span class="msubsup" id="MathJax-Span-12173"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12174" style="font-family: MathJax_Math; font-style: italic;">o</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12175"><span class="mrow" id="MathJax-Span-12176"><span class="mn" id="MathJax-Span-12177" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 14.64em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -15.639em; border-left: 0px solid; width: 0px; height: 16.789em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>m</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>n</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>15</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>19</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>80</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>204</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>40</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>82</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>120</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>336</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>13</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>81</mn><mi>m</mi><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>80</mn><mi>m</mi><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>244</mn><mi>m</mi><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>62</mn><mi>m</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>4</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>44</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>o</mi><mo>+</mo><mn>16</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>52</mn><mi>n</mi><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>13</mn><msup><mi>o</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-202"> 0 \le 4 m^{5} n^{4} o^{3}+6 m^{5} n^{4} o^{2}+11 m^{5} n^{4} o+9 m^{5} n^{4}+16 m^{5} n^{3} o^{3}+28 m^{5} n^{3} o^{2}+40 m^{5} n^{3} o+38 m^{5} n^{3}+24 m^{5} n^{2} o^{3}+48 m^{5} n^{2} o^{2}+51 m^{5} n^{2} o+57 m^{5} n^{2}+16 m^{5} n o^{3}+36 m^{5} n o^{2}+30 m^{5} n o+34 m^{5} n+4 m^{5} o^{3}+10 m^{5} o^{2}+8 m^{5} o+10 m^{5}+20 m^{4} n^{4} o^{3}+34 m^{4} n^{4} o^{2}+45 m^{4} n^{4} o+40 m^{4} n^{4}+80 m^{4} n^{3} o^{3}+156 m^{4} n^{3} o^{2}+160 m^{4} n^{3} o+170 m^{4} n^{3}+120 m^{4} n^{2} o^{3}+264 m^{4} n^{2} o^{2}+195 m^{4} n^{2} o+246 m^{4} n^{2}+80 m^{4} n o^{3}+196 m^{4} n o^{2}+110 m^{4} n o+136 m^{4} n+20 m^{4} o^{3}+54 m^{4} o^{2}+30 m^{4} o+40 m^{4}+40 m^{3} n^{4} o^{3}+76 m^{3} n^{4} o^{2}+70 m^{3} n^{4} o+70 m^{3} n^{4}+160 m^{3} n^{3} o^{3}+344 m^{3} n^{3} o^{2}+240 m^{3} n^{3} o+300 m^{3} n^{3}+240 m^{3} n^{2} o^{3}+576 m^{3} n^{2} o^{2}+270 m^{3} n^{2} o+414 m^{3} n^{2}+160 m^{3} n o^{3}+424 m^{3} n o^{2}+140 m^{3} n o+204 m^{3} n+40 m^{3} o^{3}+116 m^{3} o^{2}+40 m^{3} o+60 m^{3}+40 m^{2} n^{4} o^{3}+84 m^{2} n^{4} o^{2}+48 m^{2} n^{4} o+58 m^{2} n^{4}+160 m^{2} n^{3} o^{3}+376 m^{2} n^{3} o^{2}+152 m^{2} n^{3} o+248 m^{2} n^{3}+240 m^{2} n^{2} o^{3}+624 m^{2} n^{2} o^{2}+138 m^{2} n^{2} o+312 m^{2} n^{2}+160 m^{2} n o^{3}+456 m^{2} n o^{2}+52 m^{2} n o+116 m^{2} n+40 m^{2} o^{3}+124 m^{2} o^{2}+18 m^{2} o+31 m^{2}+20 m n^{4} o^{3}+46 m n^{4} o^{2}+15 m n^{4} o+19 m n^{4}+80 m n^{3} o^{3}+204 m n^{3} o^{2}+40 m n^{3} o+82 m n^{3}+120 m n^{2} o^{3}+336 m n^{2} o^{2}+13 m n^{2} o+81 m n^{2}+80 m n o^{3}+244 m n o^{2}+20 m o^{3}+62 m o^{2}+4 n^{4} o^{3}+10 n^{4} o^{2}+3 n^{4} o+4 n^{4}+16 n^{3} o^{3}+44 n^{3} o^{2}+8 n^{3} o+16 n^{3}+24 n^{2} o^{3}+72 n^{2} o^{2}+3 n^{2} o+16 n^{2}+16 n o^{3}+52 n o^{2}+4 o^{3}+13 o^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-203-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>p</mi><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>q</mi><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>r</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12178" style="width: 18.972em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.518em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1015.4em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12179"><span class="mi" id="MathJax-Span-12180" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-12181" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-12182" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-12183" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-12184" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">p</span><span class="mo" id="MathJax-Span-12185" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-12186" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-12187" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-12188" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-12189" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-12190" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12191" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-12192" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-12193" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-12194" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-12195"><span class="mrow" id="MathJax-Span-12196"><span class="mo" id="MathJax-Span-12197" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-12198" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-12199" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-12200" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-12201" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">r</span><span class="mo" id="MathJax-Span-12202" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>p</mi><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>q</mi><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>r</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-203">a\to 1+p,b\to 1+q,c\to 1/(1+r)</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-204-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>18</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>58</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>62</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>22</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>28</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>98</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>112</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>42</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>16</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>34</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>6</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>6</mn><mi>p</mi><mi>q</mi><mi>r</mi><mo>&#x2212;</mo><mn>2</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><mi>q</mi><mi>r</mi><mo>+</mo><mn>10</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12203" style="width: 69.031em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.56em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(5.448em, 1056.56em, 11.186em, -999.997em); top: -6.437em; left: 0em;"><span class="mrow" id="MathJax-Span-12204"><span style="display: inline-block; position: relative; width: 56.56em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1056.56em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-12205" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-12206"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12207" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12208"><span class="mrow" id="MathJax-Span-12209"><span class="mn" id="MathJax-Span-12210" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12211"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12212" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12213"><span class="mrow" id="MathJax-Span-12214"><span class="mn" id="MathJax-Span-12215" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12216" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12217" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12218"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12219" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12220"><span class="mrow" id="MathJax-Span-12221"><span class="mn" id="MathJax-Span-12222" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12223"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12224" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12225"><span class="mrow" id="MathJax-Span-12226"><span class="mn" id="MathJax-Span-12227" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12228" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12229" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12230"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12231" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12232"><span class="mrow" id="MathJax-Span-12233"><span class="mn" id="MathJax-Span-12234" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12235" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12236" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12237" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12238"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12239" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12240"><span class="mrow" id="MathJax-Span-12241"><span class="mn" id="MathJax-Span-12242" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12243" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12244" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12245"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12246" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12247"><span class="mrow" id="MathJax-Span-12248"><span class="mn" id="MathJax-Span-12249" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12250" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12251"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12252" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12253"><span class="mrow" id="MathJax-Span-12254"><span class="mn" id="MathJax-Span-12255" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12256" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12257" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12258"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12259" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12260"><span class="mrow" id="MathJax-Span-12261"><span class="mn" id="MathJax-Span-12262" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12263" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12264"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12265" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12266"><span class="mrow" id="MathJax-Span-12267"><span class="mn" id="MathJax-Span-12268" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12269" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12270" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12271"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12272" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12273"><span class="mrow" id="MathJax-Span-12274"><span class="mn" id="MathJax-Span-12275" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12276" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12277" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12278" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12279" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12280"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12281" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12282"><span class="mrow" id="MathJax-Span-12283"><span class="mn" id="MathJax-Span-12284" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12285" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12286" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12287" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-12288"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12289" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12290"><span class="mrow" id="MathJax-Span-12291"><span class="mn" id="MathJax-Span-12292" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12293"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12294" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12295"><span class="mrow" id="MathJax-Span-12296"><span class="mn" id="MathJax-Span-12297" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12298" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12299" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-12300"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12301" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12302"><span class="mrow" id="MathJax-Span-12303"><span class="mn" id="MathJax-Span-12304" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12305"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12306" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12307"><span class="mrow" id="MathJax-Span-12308"><span class="mn" id="MathJax-Span-12309" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12310" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12311" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-12312"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12313" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12314"><span class="mrow" id="MathJax-Span-12315"><span class="mn" id="MathJax-Span-12316" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12317" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12318" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12319" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-12320"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12321" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12322"><span class="mrow" id="MathJax-Span-12323"><span class="mn" id="MathJax-Span-12324" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12325" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12326" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12327"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12328" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12329"><span class="mrow" id="MathJax-Span-12330"><span class="mn" id="MathJax-Span-12331" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12332" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12333"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12334" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12335"><span class="mrow" id="MathJax-Span-12336"><span class="mn" id="MathJax-Span-12337" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12338" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12339" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-12340"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12341" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12342"><span class="mrow" id="MathJax-Span-12343"><span class="mn" id="MathJax-Span-12344" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12345" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12346"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12347" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12348"><span class="mrow" id="MathJax-Span-12349"><span class="mn" id="MathJax-Span-12350" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12351" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12352" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-12353"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12354" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12355"><span class="mrow" id="MathJax-Span-12356"><span class="mn" id="MathJax-Span-12357" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12358" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12359" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.69em, 4.335em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-12360" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-12361" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12362"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12363" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12364"><span class="mrow" id="MathJax-Span-12365"><span class="mn" id="MathJax-Span-12366" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12367" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12368" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12369" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-12370"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12371" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12372"><span class="mrow" id="MathJax-Span-12373"><span class="mn" id="MathJax-Span-12374" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12375"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12376" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12377"><span class="mrow" id="MathJax-Span-12378"><span class="mn" id="MathJax-Span-12379" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12380" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12381" style="font-family: MathJax_Main; padding-left: 0.237em;">98</span><span class="msubsup" id="MathJax-Span-12382"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12383" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12384"><span class="mrow" id="MathJax-Span-12385"><span class="mn" id="MathJax-Span-12386" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12387"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12388" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12389"><span class="mrow" id="MathJax-Span-12390"><span class="mn" id="MathJax-Span-12391" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12392" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12393" style="font-family: MathJax_Main; padding-left: 0.237em;">112</span><span class="msubsup" id="MathJax-Span-12394"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12395" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12396"><span class="mrow" id="MathJax-Span-12397"><span class="mn" id="MathJax-Span-12398" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12399" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12400" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12401" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-12402"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12403" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12404"><span class="mrow" id="MathJax-Span-12405"><span class="mn" id="MathJax-Span-12406" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12407" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12408" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12409"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12410" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12411"><span class="mrow" id="MathJax-Span-12412"><span class="mn" id="MathJax-Span-12413" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12414" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12415"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12416" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12417"><span class="mrow" id="MathJax-Span-12418"><span class="mn" id="MathJax-Span-12419" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12420" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12421" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-12422"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12423" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12424"><span class="mrow" id="MathJax-Span-12425"><span class="mn" id="MathJax-Span-12426" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12427" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12428"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12429" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12430"><span class="mrow" id="MathJax-Span-12431"><span class="mn" id="MathJax-Span-12432" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12433" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12434" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-12435"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12436" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12437"><span class="mrow" id="MathJax-Span-12438"><span class="mn" id="MathJax-Span-12439" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12440" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12441" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12442" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12443" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12444"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12445" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12446"><span class="mrow" id="MathJax-Span-12447"><span class="mn" id="MathJax-Span-12448" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12449" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12450" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12451" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-12452"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12453" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12454"><span class="mrow" id="MathJax-Span-12455"><span class="mn" id="MathJax-Span-12456" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12457"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12458" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12459"><span class="mrow" id="MathJax-Span-12460"><span class="mn" id="MathJax-Span-12461" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12462" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12463" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-12464"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12465" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12466"><span class="mrow" id="MathJax-Span-12467"><span class="mn" id="MathJax-Span-12468" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12469"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12470" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12471"><span class="mrow" id="MathJax-Span-12472"><span class="mn" id="MathJax-Span-12473" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12474" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12475" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-12476"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12477" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12478"><span class="mrow" id="MathJax-Span-12479"><span class="mn" id="MathJax-Span-12480" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12481" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12482" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12483" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-12484"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12485" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12486"><span class="mrow" id="MathJax-Span-12487"><span class="mn" id="MathJax-Span-12488" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12489" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12490" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-12491" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12492"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12493" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12494"><span class="mrow" id="MathJax-Span-12495"><span class="mn" id="MathJax-Span-12496" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12497"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12498" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12499"><span class="mrow" id="MathJax-Span-12500"><span class="mn" id="MathJax-Span-12501" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.69em, 4.335em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-12502" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-12503" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-12504" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12505"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12506" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12507"><span class="mrow" id="MathJax-Span-12508"><span class="mn" id="MathJax-Span-12509" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12510"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12511" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12512"><span class="mrow" id="MathJax-Span-12513"><span class="mn" id="MathJax-Span-12514" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12515" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12516" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-12517" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12518"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12519" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12520"><span class="mrow" id="MathJax-Span-12521"><span class="mn" id="MathJax-Span-12522" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12523" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12524" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12525" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-12526" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12527"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12528" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12529"><span class="mrow" id="MathJax-Span-12530"><span class="mn" id="MathJax-Span-12531" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12532" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12533" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-12534" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12535"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12536" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12537"><span class="mrow" id="MathJax-Span-12538"><span class="mn" id="MathJax-Span-12539" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12540"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12541" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12542"><span class="mrow" id="MathJax-Span-12543"><span class="mn" id="MathJax-Span-12544" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12545" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12546" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-12547" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12548"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12549" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12550"><span class="mrow" id="MathJax-Span-12551"><span class="mn" id="MathJax-Span-12552" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12553"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12554" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12555"><span class="mrow" id="MathJax-Span-12556"><span class="mn" id="MathJax-Span-12557" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12558" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12559" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-12560" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12561"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12562" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12563"><span class="mrow" id="MathJax-Span-12564"><span class="mn" id="MathJax-Span-12565" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12566" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12567" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12568" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-12569" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12570"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12571" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12572"><span class="mrow" id="MathJax-Span-12573"><span class="mn" id="MathJax-Span-12574" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12575" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-12576" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-12577" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12578" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12579"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12580" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12581"><span class="mrow" id="MathJax-Span-12582"><span class="mn" id="MathJax-Span-12583" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12584" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-12585" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-12586" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12587" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12588"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12589" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12590"><span class="mrow" id="MathJax-Span-12591"><span class="mn" id="MathJax-Span-12592" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12593" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-12594" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-12595" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12596" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12597" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12598" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-12599" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-12600" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12601" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12603" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-12604" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12605"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12606" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12607"><span class="mrow" id="MathJax-Span-12608"><span class="mn" id="MathJax-Span-12609" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12610" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12611" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-12612" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12613"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12614" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12615"><span class="mrow" id="MathJax-Span-12616"><span class="mn" id="MathJax-Span-12617" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12619" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12620"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12621" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12622"><span class="mrow" id="MathJax-Span-12623"><span class="mn" id="MathJax-Span-12624" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12625"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12626" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12627"><span class="mrow" id="MathJax-Span-12628"><span class="mn" id="MathJax-Span-12629" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12630" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12631" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12632"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12633" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12634"><span class="mrow" id="MathJax-Span-12635"><span class="mn" id="MathJax-Span-12636" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12637"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12638" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12639"><span class="mrow" id="MathJax-Span-12640"><span class="mn" id="MathJax-Span-12641" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1047.6em, 4.335em, -999.997em); top: 0.413em; left: 0em;"><span class="mo" id="MathJax-Span-12642" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-12643" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12644"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12645" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12646"><span class="mrow" id="MathJax-Span-12647"><span class="mn" id="MathJax-Span-12648" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12649" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12650" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12651" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12652"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12653" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12654"><span class="mrow" id="MathJax-Span-12655"><span class="mn" id="MathJax-Span-12656" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12657" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12658" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-12659"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12660" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12661"><span class="mrow" id="MathJax-Span-12662"><span class="mn" id="MathJax-Span-12663" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12664"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12665" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12666"><span class="mrow" id="MathJax-Span-12667"><span class="mn" id="MathJax-Span-12668" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12669" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12670" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-12671"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12672" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12673"><span class="mrow" id="MathJax-Span-12674"><span class="mn" id="MathJax-Span-12675" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12676"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12677" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12678"><span class="mrow" id="MathJax-Span-12679"><span class="mn" id="MathJax-Span-12680" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12681" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12682" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-12683"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12684" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12685"><span class="mrow" id="MathJax-Span-12686"><span class="mn" id="MathJax-Span-12687" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12688" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12689" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12690" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-12691"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12692" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12693"><span class="mrow" id="MathJax-Span-12694"><span class="mn" id="MathJax-Span-12695" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12696" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12697" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-12698"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12699" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12700"><span class="mrow" id="MathJax-Span-12701"><span class="mn" id="MathJax-Span-12702" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12703"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12704" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12705"><span class="mrow" id="MathJax-Span-12706"><span class="mn" id="MathJax-Span-12707" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12708" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12709" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-12710"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12711" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12712"><span class="mrow" id="MathJax-Span-12713"><span class="mn" id="MathJax-Span-12714" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12715"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12716" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12717"><span class="mrow" id="MathJax-Span-12718"><span class="mn" id="MathJax-Span-12719" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12720" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12721" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-12722"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12723" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12724"><span class="mrow" id="MathJax-Span-12725"><span class="mn" id="MathJax-Span-12726" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12727" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12728" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12729" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-12730"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12731" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12732"><span class="mrow" id="MathJax-Span-12733"><span class="mn" id="MathJax-Span-12734" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12735" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12736" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-12737" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12738"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12739" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12740"><span class="mrow" id="MathJax-Span-12741"><span class="mn" id="MathJax-Span-12742" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12743" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-12744" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-12745" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12746" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12747" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12748" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-12749"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12750" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12751"><span class="mrow" id="MathJax-Span-12752"><span class="mn" id="MathJax-Span-12753" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12754" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12755" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-12756"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12757" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12758"><span class="mrow" id="MathJax-Span-12759"><span class="mn" id="MathJax-Span-12760" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 6.443em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -5.639em; border-left: 0px solid; width: 0px; height: 6.789em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>18</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>58</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>62</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>22</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>28</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>98</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>112</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>42</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>16</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>34</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>6</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>6</mn><mi>p</mi><mi>q</mi><mi>r</mi><mo>−</mo><mn>2</mn><mi>p</mi><mi>q</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>q</mi><mi>r</mi><mo>+</mo><mn>10</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-204">4 p^{5} r^{3} + 12 p^{5} r^{2} + 12 p^{5} r + 4 p^{5} + 4 p^{4} q r^{3} + 12 p^{4} q r^{2} + 12 p^{4} q r + 4 p^{4} q + 18 p^{4} r^{3} + 58 p^{4} r^{2} + 62 p^{4} r + 22 p^{4} + 12 p^{3} q r^{3} + 36 p^{3} q r^{2} + 36 p^{3} q r + 12 p^{3} q + 28 p^{3} r^{3} + 98 p^{3} r^{2} + 112 p^{3} r + 42 p^{3} + 12 p^{2} q r^{3} + 36 p^{2} q r^{2} + 36 p^{2} q r + 12 p^{2} q + 16 p^{2} r^{3} + 66 p^{2} r^{2} + 84 p^{2} r + 34 p^{2} + 4 p q^{3} r^{3} + 12 p q^{3} r^{2} + 12 p q^{3} r + 4 p q^{3} + 3 p q^{2} r^{3} + 9 p q^{2} r^{2} + 9 p q^{2} r + 3 p q^{2} - 2 p q r^{3} - 6 p q r^{2} - 6 p q r - 2 p q + 4 p r^{3} + 4 p r^{2} + 4 q^{4} r^{3} + 12 q^{4} r^{2} + 12 q^{4} r + 4 q^{4} + 14 q^{3} r^{3} + 46 q^{3} r^{2} + 50 q^{3} r + 18 q^{3} + 9 q^{2} r^{3} + 36 q^{2} r^{2} + 45 q^{2} r + 18 q^{2} + 2 q r^{3} - 2 q r + 10 r^{3} + 14 r^{2}</script>
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status: 0
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From weighted AM-GM inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-205-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2264;</mo><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12761" style="width: 10.424em; display: inline-block;"><span style="display: inline-block; position: relative; width: 8.551em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1008.55em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12762"><span class="mn" id="MathJax-Span-12763" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-12764" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12765" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12766"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12767" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12768"><span class="mrow" id="MathJax-Span-12769"><span class="mn" id="MathJax-Span-12770" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12771" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-12772" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12773" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12774"><span class="mrow" id="MathJax-Span-12775"><span class="mn" id="MathJax-Span-12776" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12777" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12778"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12779" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12780"><span class="mrow" id="MathJax-Span-12781"><span class="mn" id="MathJax-Span-12782" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12783" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-12784" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12785"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12786" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12787"><span class="mrow" id="MathJax-Span-12788"><span class="mn" id="MathJax-Span-12789" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>≤</mo><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-205">2 p q r^{3} \le p^{2} q r^{3}+q r^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-206-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>p</mi><mi>q</mi><mo>&#x2264;</mo><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12790" style="width: 7.321em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.975em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.98em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12791"><span class="mn" id="MathJax-Span-12792" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-12793" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12794" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12795" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-12796" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12797" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12798"><span class="mrow" id="MathJax-Span-12799"><span class="mn" id="MathJax-Span-12800" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12801" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-12802" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12803" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12804"><span class="mrow" id="MathJax-Span-12805"><span class="mn" id="MathJax-Span-12806" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>p</mi><mi>q</mi><mo>≤</mo><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-206">2 p q \le p^{2}+q^{2}</script>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-207-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>q</mi><mi>r</mi><mo>&#x2264;</mo><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12807" style="width: 7.146em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.858em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.86em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12808"><span class="mn" id="MathJax-Span-12809" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-12810" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12811" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12812" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-12813" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12814" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12815"><span class="mrow" id="MathJax-Span-12816"><span class="mn" id="MathJax-Span-12817" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12818" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-12819" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12820" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12821"><span class="mrow" id="MathJax-Span-12822"><span class="mn" id="MathJax-Span-12823" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>q</mi><mi>r</mi><mo>≤</mo><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-207">2 q r \le q^{2}+r^{2}</script>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-208-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>p</mi><mi>q</mi><mi>r</mi><mo>&#x2264;</mo><mn>2</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>2</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>2</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12824" style="width: 13.352em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.951em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.95em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12825"><span class="mn" id="MathJax-Span-12826" style="font-family: MathJax_Main;">6</span><span class="mi" id="MathJax-Span-12827" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12828" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12829" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12830" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-12831" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-12832"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12833" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12834"><span class="mrow" id="MathJax-Span-12835"><span class="mn" id="MathJax-Span-12836" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12837" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12838" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12839" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-12840"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12841" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12842"><span class="mrow" id="MathJax-Span-12843"><span class="mn" id="MathJax-Span-12844" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12845" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12846" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12847" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-12848"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12849" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12850"><span class="mrow" id="MathJax-Span-12851"><span class="mn" id="MathJax-Span-12852" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>p</mi><mi>q</mi><mi>r</mi><mo>≤</mo><mn>2</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>2</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>2</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-208">6 p q r \le 2 p^{3} q+2 q^{2} r+2 r^{2}</script>
|
||
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|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
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||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-209-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>2</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12853" style="width: 15.108em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.357em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1012.36em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-12854"><span class="mn" id="MathJax-Span-12855" style="font-family: MathJax_Main;">6</span><span class="mi" id="MathJax-Span-12856" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="mi" id="MathJax-Span-12857" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12858"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12859" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12860"><span class="mrow" id="MathJax-Span-12861"><span class="mn" id="MathJax-Span-12862" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12863" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-12864" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="mi" id="MathJax-Span-12865" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12866"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12867" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12868"><span class="mrow" id="MathJax-Span-12869"><span class="mn" id="MathJax-Span-12870" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12871"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12872" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12873"><span class="mrow" id="MathJax-Span-12874"><span class="mn" id="MathJax-Span-12875" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12876" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-12877" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">p</span><span class="msubsup" id="MathJax-Span-12878"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12879" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12880"><span class="mrow" id="MathJax-Span-12881"><span class="mn" id="MathJax-Span-12882" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12883" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12884" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-12885" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-12886"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12887" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12888"><span class="mrow" id="MathJax-Span-12889"><span class="mn" id="MathJax-Span-12890" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>6</mn><mi>p</mi><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>2</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>3</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-209">6 p q r^{2} \le 2 p q^{2} r^{3}+p q^{2}+3 p r^{2}</script>
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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>18</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>58</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>62</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>22</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>10</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>28</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>98</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>112</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>42</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mi>r</mi><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>q</mi><mo>+</mo><mn>16</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>33</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>2</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>43</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>16</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-12891" style="width: 100%; display: inline-block; min-width: 66.748em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(5.565em, 1054.69em, 11.537em, -999.997em); top: -6.613em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-12892"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1054.34em, 4.335em, -999.997em); top: -3.978em; left: 50%; margin-left: -27.163em;"><span class="mn" id="MathJax-Span-12893" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-12894" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-12895" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-12896"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12897" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12898"><span class="mrow" id="MathJax-Span-12899"><span class="mn" id="MathJax-Span-12900" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12901"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12902" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12903"><span class="mrow" id="MathJax-Span-12904"><span class="mn" id="MathJax-Span-12905" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12906" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12907" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12908"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12909" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12910"><span class="mrow" id="MathJax-Span-12911"><span class="mn" id="MathJax-Span-12912" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12913"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12914" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12915"><span class="mrow" id="MathJax-Span-12916"><span class="mn" id="MathJax-Span-12917" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12918" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12919" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12920"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12921" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12922"><span class="mrow" id="MathJax-Span-12923"><span class="mn" id="MathJax-Span-12924" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12925" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12926" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12927" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12928"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12929" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12930"><span class="mrow" id="MathJax-Span-12931"><span class="mn" id="MathJax-Span-12932" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12933" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12934" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12935"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12936" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12937"><span class="mrow" id="MathJax-Span-12938"><span class="mn" id="MathJax-Span-12939" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12940" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12941"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12942" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12943"><span class="mrow" id="MathJax-Span-12944"><span class="mn" id="MathJax-Span-12945" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12946" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12947" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12948"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12949" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12950"><span class="mrow" id="MathJax-Span-12951"><span class="mn" id="MathJax-Span-12952" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12953" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-12954"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12955" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12956"><span class="mrow" id="MathJax-Span-12957"><span class="mn" id="MathJax-Span-12958" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12959" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12960" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-12961"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12962" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12963"><span class="mrow" id="MathJax-Span-12964"><span class="mn" id="MathJax-Span-12965" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12966" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-12967" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-12968" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12969" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-12970"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12971" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12972"><span class="mrow" id="MathJax-Span-12973"><span class="mn" id="MathJax-Span-12974" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-12975" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-12976" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12977" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-12978"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12979" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12980"><span class="mrow" id="MathJax-Span-12981"><span class="mn" id="MathJax-Span-12982" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12983"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12984" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12985"><span class="mrow" id="MathJax-Span-12986"><span class="mn" id="MathJax-Span-12987" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-12988" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-12989" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-12990"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12991" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-12992"><span class="mrow" id="MathJax-Span-12993"><span class="mn" id="MathJax-Span-12994" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-12995"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-12996" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-12997"><span class="mrow" id="MathJax-Span-12998"><span class="mn" id="MathJax-Span-12999" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13000" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13001" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-13002"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13003" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13004"><span class="mrow" id="MathJax-Span-13005"><span class="mn" id="MathJax-Span-13006" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13007" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13008" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13009" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-13010"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13011" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13012"><span class="mrow" id="MathJax-Span-13013"><span class="mn" id="MathJax-Span-13014" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13015" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13016" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13017"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13018" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13019"><span class="mrow" id="MathJax-Span-13020"><span class="mn" id="MathJax-Span-13021" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13022" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-13023"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13024" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13025"><span class="mrow" id="MathJax-Span-13026"><span class="mn" id="MathJax-Span-13027" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13028" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13029" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13030"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13031" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13032"><span class="mrow" id="MathJax-Span-13033"><span class="mn" id="MathJax-Span-13034" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13035" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-13036"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13037" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13038"><span class="mrow" id="MathJax-Span-13039"><span class="mn" id="MathJax-Span-13040" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.69em, 4.335em, -999.997em); top: -2.456em; left: 50%; margin-left: -27.339em;"><span class="mo" id="MathJax-Span-13041" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13042" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13043"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13044" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13045"><span class="mrow" id="MathJax-Span-13046"><span class="mn" id="MathJax-Span-13047" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13048" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-13049" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13050" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13051" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-13052"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13053" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13054"><span class="mrow" id="MathJax-Span-13055"><span class="mn" id="MathJax-Span-13056" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13057" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-13058" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13059" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-13060"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13061" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13062"><span class="mrow" id="MathJax-Span-13063"><span class="mn" id="MathJax-Span-13064" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13065"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13066" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13067"><span class="mrow" id="MathJax-Span-13068"><span class="mn" id="MathJax-Span-13069" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13070" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13071" style="font-family: MathJax_Main; padding-left: 0.237em;">98</span><span class="msubsup" id="MathJax-Span-13072"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13073" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13074"><span class="mrow" id="MathJax-Span-13075"><span class="mn" id="MathJax-Span-13076" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13077"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13078" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13079"><span class="mrow" id="MathJax-Span-13080"><span class="mn" id="MathJax-Span-13081" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13082" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13083" style="font-family: MathJax_Main; padding-left: 0.237em;">112</span><span class="msubsup" id="MathJax-Span-13084"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13085" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13086"><span class="mrow" id="MathJax-Span-13087"><span class="mn" id="MathJax-Span-13088" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13089" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13090" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13091" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-13092"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13093" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13094"><span class="mrow" id="MathJax-Span-13095"><span class="mn" id="MathJax-Span-13096" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13097" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13098" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="msubsup" id="MathJax-Span-13099"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13100" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13101"><span class="mrow" id="MathJax-Span-13102"><span class="mn" id="MathJax-Span-13103" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13104" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-13105"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13106" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13107"><span class="mrow" id="MathJax-Span-13108"><span class="mn" id="MathJax-Span-13109" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13110" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13111" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13112"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13113" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13114"><span class="mrow" id="MathJax-Span-13115"><span class="mn" id="MathJax-Span-13116" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13117" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-13118"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13119" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13120"><span class="mrow" id="MathJax-Span-13121"><span class="mn" id="MathJax-Span-13122" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13123" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13124" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13125"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13126" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13127"><span class="mrow" id="MathJax-Span-13128"><span class="mn" id="MathJax-Span-13129" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13130" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-13131" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13132" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13133" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13134"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13135" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13136"><span class="mrow" id="MathJax-Span-13137"><span class="mn" id="MathJax-Span-13138" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13139" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-13140" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13141" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-13142"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13143" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13144"><span class="mrow" id="MathJax-Span-13145"><span class="mn" id="MathJax-Span-13146" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13147"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13148" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13149"><span class="mrow" id="MathJax-Span-13150"><span class="mn" id="MathJax-Span-13151" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13152" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13153" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-13154"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13155" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13156"><span class="mrow" id="MathJax-Span-13157"><span class="mn" id="MathJax-Span-13158" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13159"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13160" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13161"><span class="mrow" id="MathJax-Span-13162"><span class="mn" id="MathJax-Span-13163" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13164" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13165" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-13166"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13167" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13168"><span class="mrow" id="MathJax-Span-13169"><span class="mn" id="MathJax-Span-13170" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13171" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13172" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13173" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="msubsup" id="MathJax-Span-13174"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13175" style="font-family: MathJax_Math; font-style: italic;">p</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13176"><span class="mrow" id="MathJax-Span-13177"><span class="mn" id="MathJax-Span-13178" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.1em, 4.335em, -999.997em); top: -0.934em; left: 50%; margin-left: -27.046em;"><span class="mo" id="MathJax-Span-13179" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13180" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-13181" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13182"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13183" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13184"><span class="mrow" id="MathJax-Span-13185"><span class="mn" id="MathJax-Span-13186" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13187"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13188" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13189"><span class="mrow" id="MathJax-Span-13190"><span class="mn" id="MathJax-Span-13191" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13192" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13193" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-13194" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13195"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13196" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13197"><span class="mrow" id="MathJax-Span-13198"><span class="mn" id="MathJax-Span-13199" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13200"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13201" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13202"><span class="mrow" id="MathJax-Span-13203"><span class="mn" id="MathJax-Span-13204" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13205" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13206" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-13207" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13208"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13209" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13210"><span class="mrow" id="MathJax-Span-13211"><span class="mn" id="MathJax-Span-13212" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13213" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13214" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13215" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-13216" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13217"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13218" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13219"><span class="mrow" id="MathJax-Span-13220"><span class="mn" id="MathJax-Span-13221" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13222" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13223" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">p</span><span class="msubsup" id="MathJax-Span-13224"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13225" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13226"><span class="mrow" id="MathJax-Span-13227"><span class="mn" id="MathJax-Span-13228" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13229"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13230" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13231"><span class="mrow" id="MathJax-Span-13232"><span class="mn" id="MathJax-Span-13233" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13234" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13235" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-13236" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13237"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13238" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13239"><span class="mrow" id="MathJax-Span-13240"><span class="mn" id="MathJax-Span-13241" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13242"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13243" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13244"><span class="mrow" id="MathJax-Span-13245"><span class="mn" id="MathJax-Span-13246" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13247" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13248" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-13249" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13250"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13251" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13252"><span class="mrow" id="MathJax-Span-13253"><span class="mn" id="MathJax-Span-13254" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13255" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13256" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13257" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-13258" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13259"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13260" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13261"><span class="mrow" id="MathJax-Span-13262"><span class="mn" id="MathJax-Span-13263" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13264" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13265" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-13266" style="font-family: MathJax_Math; font-style: italic;">p</span><span class="msubsup" id="MathJax-Span-13267"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13268" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13269"><span class="mrow" id="MathJax-Span-13270"><span class="mn" id="MathJax-Span-13271" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13272" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13273" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">p</span><span class="msubsup" id="MathJax-Span-13274"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13275" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13276"><span class="mrow" id="MathJax-Span-13277"><span class="mn" id="MathJax-Span-13278" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13279" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13280" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-13281"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13282" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13283"><span class="mrow" id="MathJax-Span-13284"><span class="mn" id="MathJax-Span-13285" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13286"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13287" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13288"><span class="mrow" id="MathJax-Span-13289"><span class="mn" id="MathJax-Span-13290" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13291" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13292" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13293"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13294" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13295"><span class="mrow" id="MathJax-Span-13296"><span class="mn" id="MathJax-Span-13297" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13298"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13299" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13300"><span class="mrow" id="MathJax-Span-13301"><span class="mn" id="MathJax-Span-13302" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13303" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13304" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13305"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13306" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13307"><span class="mrow" id="MathJax-Span-13308"><span class="mn" id="MathJax-Span-13309" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13310" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13311" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13312" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-13313"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13314" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13315"><span class="mrow" id="MathJax-Span-13316"><span class="mn" id="MathJax-Span-13317" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13318" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13319" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-13320"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13321" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13322"><span class="mrow" id="MathJax-Span-13323"><span class="mn" id="MathJax-Span-13324" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13325"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13326" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13327"><span class="mrow" id="MathJax-Span-13328"><span class="mn" id="MathJax-Span-13329" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1034.02em, 4.335em, -999.997em); top: 0.53em; left: 50%; margin-left: -17.035em;"><span class="mo" id="MathJax-Span-13330" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13331" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-13332"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13333" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13334"><span class="mrow" id="MathJax-Span-13335"><span class="mn" id="MathJax-Span-13336" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13337"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13338" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13339"><span class="mrow" id="MathJax-Span-13340"><span class="mn" id="MathJax-Span-13341" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13342" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13343" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-13344"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13345" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13346"><span class="mrow" id="MathJax-Span-13347"><span class="mn" id="MathJax-Span-13348" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13349" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13350" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13351" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-13352"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13353" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13354"><span class="mrow" id="MathJax-Span-13355"><span class="mn" id="MathJax-Span-13356" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13357" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13358" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-13359"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13360" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13361"><span class="mrow" id="MathJax-Span-13362"><span class="mn" id="MathJax-Span-13363" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13364"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13365" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13366"><span class="mrow" id="MathJax-Span-13367"><span class="mn" id="MathJax-Span-13368" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13369" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13370" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13371"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13372" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13373"><span class="mrow" id="MathJax-Span-13374"><span class="mn" id="MathJax-Span-13375" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13376"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13377" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13378"><span class="mrow" id="MathJax-Span-13379"><span class="mn" id="MathJax-Span-13380" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13381" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13382" style="font-family: MathJax_Main; padding-left: 0.237em;">43</span><span class="msubsup" id="MathJax-Span-13383"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13384" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13385"><span class="mrow" id="MathJax-Span-13386"><span class="mn" id="MathJax-Span-13387" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13388" style="font-family: MathJax_Math; font-style: italic;">r</span><span class="mo" id="MathJax-Span-13389" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13390" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-13391"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13392" style="font-family: MathJax_Math; font-style: italic;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-13393"><span class="mrow" id="MathJax-Span-13394"><span class="mn" id="MathJax-Span-13395" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13396" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13397" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">q<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-13398"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13399" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13400"><span class="mrow" id="MathJax-Span-13401"><span class="mn" id="MathJax-Span-13402" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13403" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13404" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-13405"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13406" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13407"><span class="mrow" id="MathJax-Span-13408"><span class="mn" id="MathJax-Span-13409" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13410" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13411" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="msubsup" id="MathJax-Span-13412"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13413" style="font-family: MathJax_Math; font-style: italic;">r</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13414"><span class="mrow" id="MathJax-Span-13415"><span class="mn" id="MathJax-Span-13416" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 6.619em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -5.854em; border-left: 0px solid; width: 0px; height: 7.004em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>p</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>84</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>33</mn><msup><mi>p</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>2</mn><mi>p</mi><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mi>p</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>4</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>18</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>43</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>r</mi><mo>+</mo><mn>16</mn><msup><mi>q</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>q</mi><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>11</mn><msup><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-210"> 0 \le 4 p^{5} r^{3}+12 p^{5} r^{2}+12 p^{5} r+4 p^{5}+4 p^{4} q r^{3}+12 p^{4} q r^{2}+12 p^{4} q r+4 p^{4} q+18 p^{4} r^{3}+58 p^{4} r^{2}+62 p^{4} r+22 p^{4}+12 p^{3} q r^{3}+36 p^{3} q r^{2}+36 p^{3} q r+10 p^{3} q+28 p^{3} r^{3}+98 p^{3} r^{2}+112 p^{3} r+42 p^{3}+11 p^{2} q r^{3}+36 p^{2} q r^{2}+36 p^{2} q r+12 p^{2} q+16 p^{2} r^{3}+66 p^{2} r^{2}+84 p^{2} r+33 p^{2}+4 p q^{3} r^{3}+12 p q^{3} r^{2}+12 p q^{3} r+4 p q^{3}+p q^{2} r^{3}+9 p q^{2} r^{2}+9 p q^{2} r+2 p q^{2}+4 p r^{3}+p r^{2}+4 q^{4} r^{3}+12 q^{4} r^{2}+12 q^{4} r+4 q^{4}+14 q^{3} r^{3}+46 q^{3} r^{2}+50 q^{3} r+18 q^{3}+9 q^{2} r^{3}+36 q^{2} r^{2}+43 q^{2} r+16 q^{2}+q r^{3}+10 r^{3}+11 r^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-211-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>s</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>u</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-13417" style="width: 21.139em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.333em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1017.22em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-13418"><span class="mi" id="MathJax-Span-13419" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-13420" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-13421" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-13422"><span class="mrow" id="MathJax-Span-13423"><span class="mo" id="MathJax-Span-13424" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-13425" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-13426" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-13427" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13428" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">s</span><span class="mo" id="MathJax-Span-13429" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-13430" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-13431" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-13432" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-13433" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-13434" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13435" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">t</span><span class="mo" id="MathJax-Span-13436" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-13437" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-13438" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-13439" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-13440"><span class="mrow" id="MathJax-Span-13441"><span class="mo" id="MathJax-Span-13442" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-13443" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-13444" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-13445" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-13446" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">u</span><span class="mo" id="MathJax-Span-13447" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>s</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>u</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-211">a\to 1/(1+s),b\to 1+t,c\to 1/(1+u)</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-212-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>4</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>34</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>38</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>14</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>27</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>15</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>t</mi><mi>u</mi><mo>+</mo><mn>6</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>t</mi><mo>+</mo><mn>8</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>22</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>10</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>60</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>60</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>20</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>54</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>182</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>t</mi><mrow 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left: 0.471em;"><span class="texatom" id="MathJax-Span-13453"><span class="mrow" id="MathJax-Span-13454"><span class="mn" id="MathJax-Span-13455" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13456"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13457" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13458"><span class="mrow" id="MathJax-Span-13459"><span class="mn" id="MathJax-Span-13460" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13461"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13462" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13463"><span class="mrow" id="MathJax-Span-13464"><span class="mn" id="MathJax-Span-13465" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13466" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13467" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13468"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13469" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13470"><span class="mrow" id="MathJax-Span-13471"><span class="mn" id="MathJax-Span-13472" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13473"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13474" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13475"><span class="mrow" id="MathJax-Span-13476"><span class="mn" id="MathJax-Span-13477" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13478"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13479" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13480"><span class="mrow" id="MathJax-Span-13481"><span class="mn" id="MathJax-Span-13482" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13483" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13484" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-13485"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13486" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13487"><span class="mrow" id="MathJax-Span-13488"><span class="mn" id="MathJax-Span-13489" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13490"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13491" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13492"><span class="mrow" id="MathJax-Span-13493"><span class="mn" id="MathJax-Span-13494" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13495" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13496" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13497" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-13498"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13499" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13500"><span class="mrow" id="MathJax-Span-13501"><span class="mn" id="MathJax-Span-13502" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13503"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13504" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13505"><span class="mrow" id="MathJax-Span-13506"><span class="mn" id="MathJax-Span-13507" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13508" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13509" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-13510"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13511" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13512"><span class="mrow" id="MathJax-Span-13513"><span class="mn" id="MathJax-Span-13514" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13515"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13516" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13517"><span class="mrow" id="MathJax-Span-13518"><span class="mn" id="MathJax-Span-13519" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13520"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13521" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13522"><span class="mrow" id="MathJax-Span-13523"><span class="mn" id="MathJax-Span-13524" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13525" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13526" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-13527"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13528" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13529"><span class="mrow" id="MathJax-Span-13530"><span class="mn" id="MathJax-Span-13531" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13532"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13533" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13534"><span class="mrow" id="MathJax-Span-13535"><span class="mn" id="MathJax-Span-13536" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13537"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13538" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13539"><span class="mrow" id="MathJax-Span-13540"><span class="mn" id="MathJax-Span-13541" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13542" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13543" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-13544"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13545" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13546"><span class="mrow" id="MathJax-Span-13547"><span class="mn" id="MathJax-Span-13548" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13549"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13550" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13551"><span class="mrow" id="MathJax-Span-13552"><span class="mn" id="MathJax-Span-13553" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13554" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13555" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13556" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-13557"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13558" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13559"><span class="mrow" id="MathJax-Span-13560"><span class="mn" id="MathJax-Span-13561" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13562"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13563" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13564"><span class="mrow" id="MathJax-Span-13565"><span class="mn" id="MathJax-Span-13566" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13567" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13568" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-13569"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13570" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13571"><span class="mrow" id="MathJax-Span-13572"><span class="mn" id="MathJax-Span-13573" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13574"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13575" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13576"><span class="mrow" id="MathJax-Span-13577"><span class="mn" id="MathJax-Span-13578" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13579"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13580" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13581"><span class="mrow" id="MathJax-Span-13582"><span class="mn" id="MathJax-Span-13583" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13584" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13585" style="font-family: MathJax_Main; padding-left: 0.237em;">27</span><span class="msubsup" id="MathJax-Span-13586"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13587" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13588"><span class="mrow" id="MathJax-Span-13589"><span class="mn" id="MathJax-Span-13590" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13591"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13592" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13593"><span class="mrow" id="MathJax-Span-13594"><span class="mn" id="MathJax-Span-13595" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13596"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13597" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13598"><span class="mrow" id="MathJax-Span-13599"><span class="mn" id="MathJax-Span-13600" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13601" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13602" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-13603"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13604" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13605"><span class="mrow" id="MathJax-Span-13606"><span class="mn" id="MathJax-Span-13607" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13608"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13609" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13610"><span class="mrow" id="MathJax-Span-13611"><span class="mn" id="MathJax-Span-13612" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13613" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13614" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13615" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="msubsup" id="MathJax-Span-13616"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13617" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13618"><span class="mrow" id="MathJax-Span-13619"><span class="mn" id="MathJax-Span-13620" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13621"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13622" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13623"><span class="mrow" id="MathJax-Span-13624"><span class="mn" id="MathJax-Span-13625" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13626" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13627" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-13628"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13629" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13630"><span class="mrow" id="MathJax-Span-13631"><span class="mn" id="MathJax-Span-13632" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13633" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-13634"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13635" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13636"><span class="mrow" id="MathJax-Span-13637"><span class="mn" id="MathJax-Span-13638" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.74em, 4.218em, -999.997em); top: -2.632em; left: 0em;"><span class="mo" id="MathJax-Span-13639" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13640" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-13641"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13642" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13643"><span class="mrow" id="MathJax-Span-13644"><span class="mn" id="MathJax-Span-13645" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13646" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-13647"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13648" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13649"><span class="mrow" id="MathJax-Span-13650"><span class="mn" id="MathJax-Span-13651" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13652" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13653" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-13654"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13655" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13656"><span class="mrow" id="MathJax-Span-13657"><span class="mn" id="MathJax-Span-13658" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13659" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-13660" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13661" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13662" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-13663"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13664" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13665"><span class="mrow" id="MathJax-Span-13666"><span class="mn" id="MathJax-Span-13667" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13668" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-13669" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13670" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-13671"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13672" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13673"><span class="mrow" id="MathJax-Span-13674"><span class="mn" id="MathJax-Span-13675" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13676"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13677" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13678"><span class="mrow" id="MathJax-Span-13679"><span class="mn" id="MathJax-Span-13680" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13681" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13682" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-13683"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13684" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13685"><span class="mrow" id="MathJax-Span-13686"><span class="mn" id="MathJax-Span-13687" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13688"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13689" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13690"><span class="mrow" id="MathJax-Span-13691"><span class="mn" id="MathJax-Span-13692" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13693" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13694" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-13695"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13696" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13697"><span class="mrow" id="MathJax-Span-13698"><span class="mn" id="MathJax-Span-13699" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13700" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13701" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13702" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-13703"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13704" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13705"><span class="mrow" id="MathJax-Span-13706"><span class="mn" id="MathJax-Span-13707" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13708" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13709" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-13710"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13711" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13712"><span class="mrow" id="MathJax-Span-13713"><span class="mn" id="MathJax-Span-13714" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13715"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13716" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13717"><span class="mrow" id="MathJax-Span-13718"><span class="mn" id="MathJax-Span-13719" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13720"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13721" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13722"><span class="mrow" id="MathJax-Span-13723"><span class="mn" id="MathJax-Span-13724" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13725" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13726" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-13727"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13728" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13729"><span class="mrow" id="MathJax-Span-13730"><span class="mn" id="MathJax-Span-13731" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13732"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13733" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13734"><span class="mrow" id="MathJax-Span-13735"><span class="mn" id="MathJax-Span-13736" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13737"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13738" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13739"><span class="mrow" id="MathJax-Span-13740"><span class="mn" id="MathJax-Span-13741" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13742" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13743" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-13744"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13745" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13746"><span class="mrow" id="MathJax-Span-13747"><span class="mn" id="MathJax-Span-13748" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13749"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13750" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13751"><span class="mrow" id="MathJax-Span-13752"><span class="mn" id="MathJax-Span-13753" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13754" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13755" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13756" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-13757"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13758" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13759"><span class="mrow" id="MathJax-Span-13760"><span class="mn" id="MathJax-Span-13761" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13762"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13763" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13764"><span class="mrow" id="MathJax-Span-13765"><span class="mn" id="MathJax-Span-13766" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13767" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13768" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-13769"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13770" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13771"><span class="mrow" id="MathJax-Span-13772"><span class="mn" id="MathJax-Span-13773" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13774"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13775" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13776"><span class="mrow" id="MathJax-Span-13777"><span class="mn" id="MathJax-Span-13778" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13779"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13780" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13781"><span class="mrow" id="MathJax-Span-13782"><span class="mn" id="MathJax-Span-13783" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13784" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13785" style="font-family: MathJax_Main; padding-left: 0.237em;">182</span><span class="msubsup" id="MathJax-Span-13786"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13787" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13788"><span class="mrow" id="MathJax-Span-13789"><span class="mn" id="MathJax-Span-13790" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13791"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13792" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13793"><span class="mrow" id="MathJax-Span-13794"><span class="mn" id="MathJax-Span-13795" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13796"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13797" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13798"><span class="mrow" id="MathJax-Span-13799"><span class="mn" id="MathJax-Span-13800" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.46em, 4.218em, -999.997em); top: -1.285em; left: 0em;"><span class="mo" id="MathJax-Span-13801" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13802" style="font-family: MathJax_Main; padding-left: 0.237em;">202</span><span class="msubsup" id="MathJax-Span-13803"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13804" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13805"><span class="mrow" id="MathJax-Span-13806"><span class="mn" id="MathJax-Span-13807" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13808"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13809" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13810"><span class="mrow" id="MathJax-Span-13811"><span class="mn" id="MathJax-Span-13812" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13813" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13814" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13815" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-13816"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13817" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13818"><span class="mrow" id="MathJax-Span-13819"><span class="mn" id="MathJax-Span-13820" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13821"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13822" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13823"><span class="mrow" id="MathJax-Span-13824"><span class="mn" id="MathJax-Span-13825" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13826" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13827" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="msubsup" id="MathJax-Span-13828"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13829" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13830"><span class="mrow" id="MathJax-Span-13831"><span class="mn" id="MathJax-Span-13832" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13833"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13834" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13835"><span class="mrow" id="MathJax-Span-13836"><span class="mn" id="MathJax-Span-13837" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13838"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13839" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13840"><span class="mrow" id="MathJax-Span-13841"><span class="mn" id="MathJax-Span-13842" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13843" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13844" style="font-family: MathJax_Main; padding-left: 0.237em;">144</span><span class="msubsup" id="MathJax-Span-13845"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13846" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13847"><span class="mrow" id="MathJax-Span-13848"><span class="mn" id="MathJax-Span-13849" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13850"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13851" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13852"><span class="mrow" id="MathJax-Span-13853"><span class="mn" id="MathJax-Span-13854" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13855"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13856" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13857"><span class="mrow" id="MathJax-Span-13858"><span class="mn" id="MathJax-Span-13859" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13860" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13861" style="font-family: MathJax_Main; padding-left: 0.237em;">189</span><span class="msubsup" id="MathJax-Span-13862"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13863" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13864"><span class="mrow" id="MathJax-Span-13865"><span class="mn" id="MathJax-Span-13866" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13867"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13868" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13869"><span class="mrow" id="MathJax-Span-13870"><span class="mn" id="MathJax-Span-13871" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13872" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13873" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13874" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-13875"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13876" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13877"><span class="mrow" id="MathJax-Span-13878"><span class="mn" id="MathJax-Span-13879" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13880"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13881" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13882"><span class="mrow" id="MathJax-Span-13883"><span class="mn" id="MathJax-Span-13884" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13885" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13886" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-13887"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13888" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13889"><span class="mrow" id="MathJax-Span-13890"><span class="mn" id="MathJax-Span-13891" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13892" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-13893"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13894" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13895"><span class="mrow" id="MathJax-Span-13896"><span class="mn" id="MathJax-Span-13897" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13898" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13899" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-13900"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13901" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13902"><span class="mrow" id="MathJax-Span-13903"><span class="mn" id="MathJax-Span-13904" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13905" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-13906"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13907" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13908"><span class="mrow" id="MathJax-Span-13909"><span class="mn" id="MathJax-Span-13910" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13911" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13912" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-13913"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13914" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13915"><span class="mrow" id="MathJax-Span-13916"><span class="mn" id="MathJax-Span-13917" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13918" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-13919" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13920" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13921" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-13922"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13923" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13924"><span class="mrow" id="MathJax-Span-13925"><span class="mn" id="MathJax-Span-13926" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13927" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-13928" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13929" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-13930"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13931" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13932"><span class="mrow" id="MathJax-Span-13933"><span class="mn" id="MathJax-Span-13934" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13935"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13936" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13937"><span class="mrow" id="MathJax-Span-13938"><span class="mn" id="MathJax-Span-13939" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13940" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13941" style="font-family: MathJax_Main; padding-left: 0.237em;">114</span><span class="msubsup" id="MathJax-Span-13942"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13943" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13944"><span class="mrow" id="MathJax-Span-13945"><span class="mn" id="MathJax-Span-13946" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13947"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13948" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13949"><span class="mrow" id="MathJax-Span-13950"><span class="mn" id="MathJax-Span-13951" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1051.23em, 4.218em, -999.997em); top: 0.061em; left: 0em;"><span class="mo" id="MathJax-Span-13952" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-13953" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-13954"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13955" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13956"><span class="mrow" id="MathJax-Span-13957"><span class="mn" id="MathJax-Span-13958" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-13959" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-13960" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13961" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-13962"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13963" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13964"><span class="mrow" id="MathJax-Span-13965"><span class="mn" id="MathJax-Span-13966" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13967" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13968" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-13969"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13970" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13971"><span class="mrow" id="MathJax-Span-13972"><span class="mn" id="MathJax-Span-13973" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13974"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13975" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13976"><span class="mrow" id="MathJax-Span-13977"><span class="mn" id="MathJax-Span-13978" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13979"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13980" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13981"><span class="mrow" id="MathJax-Span-13982"><span class="mn" id="MathJax-Span-13983" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-13984" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-13985" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-13986"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13987" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-13988"><span class="mrow" id="MathJax-Span-13989"><span class="mn" id="MathJax-Span-13990" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13991"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13992" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-13993"><span class="mrow" id="MathJax-Span-13994"><span class="mn" id="MathJax-Span-13995" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-13996"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-13997" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-13998"><span class="mrow" id="MathJax-Span-13999"><span class="mn" id="MathJax-Span-14000" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14001" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14002" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-14003"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14004" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14005"><span class="mrow" id="MathJax-Span-14006"><span class="mn" id="MathJax-Span-14007" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14008"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14009" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14010"><span class="mrow" id="MathJax-Span-14011"><span class="mn" id="MathJax-Span-14012" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14013" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14014" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14015" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-14016"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14017" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14018"><span class="mrow" id="MathJax-Span-14019"><span class="mn" id="MathJax-Span-14020" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14021"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14022" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14023"><span class="mrow" id="MathJax-Span-14024"><span class="mn" id="MathJax-Span-14025" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14026" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14027" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-14028"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14029" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14030"><span class="mrow" id="MathJax-Span-14031"><span class="mn" id="MathJax-Span-14032" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14033"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14034" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14035"><span class="mrow" id="MathJax-Span-14036"><span class="mn" id="MathJax-Span-14037" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14038"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14039" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14040"><span class="mrow" id="MathJax-Span-14041"><span class="mn" id="MathJax-Span-14042" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14043" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14044" style="font-family: MathJax_Main; padding-left: 0.237em;">388</span><span class="msubsup" id="MathJax-Span-14045"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14046" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14047"><span class="mrow" id="MathJax-Span-14048"><span class="mn" id="MathJax-Span-14049" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14050"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14051" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14052"><span class="mrow" id="MathJax-Span-14053"><span class="mn" id="MathJax-Span-14054" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14055"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14056" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14057"><span class="mrow" id="MathJax-Span-14058"><span class="mn" id="MathJax-Span-14059" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14060" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14061" style="font-family: MathJax_Main; padding-left: 0.237em;">428</span><span class="msubsup" id="MathJax-Span-14062"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14063" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14064"><span class="mrow" id="MathJax-Span-14065"><span class="mn" id="MathJax-Span-14066" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14067"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14068" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14069"><span class="mrow" id="MathJax-Span-14070"><span class="mn" id="MathJax-Span-14071" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14072" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14073" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14074" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-14075"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14076" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14077"><span class="mrow" id="MathJax-Span-14078"><span class="mn" id="MathJax-Span-14079" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14080"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14081" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14082"><span class="mrow" id="MathJax-Span-14083"><span class="mn" id="MathJax-Span-14084" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14085" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14086" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-14087"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14088" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14089"><span class="mrow" id="MathJax-Span-14090"><span class="mn" id="MathJax-Span-14091" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14092"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14093" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14094"><span class="mrow" id="MathJax-Span-14095"><span class="mn" id="MathJax-Span-14096" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14097"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14098" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14099"><span class="mrow" id="MathJax-Span-14100"><span class="mn" id="MathJax-Span-14101" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.87em, 4.218em, -999.997em); top: 1.467em; left: 0em;"><span class="mo" id="MathJax-Span-14102" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-14103" style="font-family: MathJax_Main; padding-left: 0.237em;">306</span><span class="msubsup" id="MathJax-Span-14104"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14105" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14106"><span class="mrow" id="MathJax-Span-14107"><span class="mn" id="MathJax-Span-14108" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14109"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14110" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14111"><span class="mrow" id="MathJax-Span-14112"><span class="mn" id="MathJax-Span-14113" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14114"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14115" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14116"><span class="mrow" id="MathJax-Span-14117"><span class="mn" id="MathJax-Span-14118" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14119" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14120" style="font-family: MathJax_Main; padding-left: 0.237em;">396</span><span class="msubsup" id="MathJax-Span-14121"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14122" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14123"><span class="mrow" id="MathJax-Span-14124"><span class="mn" id="MathJax-Span-14125" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14126"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14127" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14128"><span class="mrow" id="MathJax-Span-14129"><span class="mn" id="MathJax-Span-14130" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14131" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14132" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14133" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-14134"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14135" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14136"><span class="mrow" id="MathJax-Span-14137"><span class="mn" id="MathJax-Span-14138" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14139"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14140" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14141"><span class="mrow" id="MathJax-Span-14142"><span class="mn" id="MathJax-Span-14143" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14144" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14145" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-14146"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14147" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14148"><span class="mrow" id="MathJax-Span-14149"><span class="mn" id="MathJax-Span-14150" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14151" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14152"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14153" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14154"><span class="mrow" id="MathJax-Span-14155"><span class="mn" id="MathJax-Span-14156" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14157" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14158" style="font-family: MathJax_Main; padding-left: 0.237em;">108</span><span class="msubsup" id="MathJax-Span-14159"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14160" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14161"><span class="mrow" id="MathJax-Span-14162"><span class="mn" id="MathJax-Span-14163" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14164" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14165"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14166" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14167"><span class="mrow" id="MathJax-Span-14168"><span class="mn" id="MathJax-Span-14169" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14170" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14171" style="font-family: MathJax_Main; padding-left: 0.237em;">88</span><span class="msubsup" id="MathJax-Span-14172"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14173" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14174"><span class="mrow" id="MathJax-Span-14175"><span class="mn" id="MathJax-Span-14176" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14177" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14178" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14179" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14180" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-14181"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14182" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14183"><span class="mrow" id="MathJax-Span-14184"><span class="mn" id="MathJax-Span-14185" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14186" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-14187" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14188" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-14189"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14190" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14191"><span class="mrow" id="MathJax-Span-14192"><span class="mn" id="MathJax-Span-14193" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14194"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14195" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14196"><span class="mrow" id="MathJax-Span-14197"><span class="mn" id="MathJax-Span-14198" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14199" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14200" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-14201"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14202" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14203"><span class="mrow" id="MathJax-Span-14204"><span class="mn" id="MathJax-Span-14205" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14206"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14207" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14208"><span class="mrow" id="MathJax-Span-14209"><span class="mn" id="MathJax-Span-14210" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14211" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14212" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-14213"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14214" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14215"><span class="mrow" id="MathJax-Span-14216"><span class="mn" id="MathJax-Span-14217" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14218" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14219" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14220" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-14221"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14222" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14223"><span class="mrow" id="MathJax-Span-14224"><span class="mn" id="MathJax-Span-14225" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14226" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14227" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-14228"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14229" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14230"><span class="mrow" id="MathJax-Span-14231"><span class="mn" id="MathJax-Span-14232" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14233"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14234" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14235"><span class="mrow" id="MathJax-Span-14236"><span class="mn" id="MathJax-Span-14237" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14238"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14239" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14240"><span class="mrow" id="MathJax-Span-14241"><span class="mn" id="MathJax-Span-14242" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.34em, 4.218em, -999.997em); top: 2.813em; left: 0em;"><span class="mo" id="MathJax-Span-14243" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-14244" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-14245"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14246" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14247"><span class="mrow" id="MathJax-Span-14248"><span class="mn" id="MathJax-Span-14249" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14250"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14251" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14252"><span class="mrow" id="MathJax-Span-14253"><span class="mn" id="MathJax-Span-14254" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14255"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14256" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14257"><span class="mrow" id="MathJax-Span-14258"><span class="mn" id="MathJax-Span-14259" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14260" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14261" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-14262"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14263" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14264"><span class="mrow" id="MathJax-Span-14265"><span class="mn" id="MathJax-Span-14266" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14267"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14268" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14269"><span class="mrow" id="MathJax-Span-14270"><span class="mn" id="MathJax-Span-14271" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14272" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14273" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14274" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-14275"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14276" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14277"><span class="mrow" id="MathJax-Span-14278"><span class="mn" id="MathJax-Span-14279" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14280"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14281" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14282"><span class="mrow" id="MathJax-Span-14283"><span class="mn" id="MathJax-Span-14284" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14285" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14286" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-14287"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14288" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14289"><span class="mrow" id="MathJax-Span-14290"><span class="mn" id="MathJax-Span-14291" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14292"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14293" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14294"><span class="mrow" id="MathJax-Span-14295"><span class="mn" id="MathJax-Span-14296" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14297"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14298" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14299"><span class="mrow" id="MathJax-Span-14300"><span class="mn" id="MathJax-Span-14301" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14302" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14303" style="font-family: MathJax_Main; padding-left: 0.237em;">412</span><span class="msubsup" id="MathJax-Span-14304"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14305" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14306"><span class="mrow" id="MathJax-Span-14307"><span class="mn" id="MathJax-Span-14308" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14309"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14310" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14311"><span class="mrow" id="MathJax-Span-14312"><span class="mn" id="MathJax-Span-14313" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14314"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14315" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14316"><span class="mrow" id="MathJax-Span-14317"><span class="mn" id="MathJax-Span-14318" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14319" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14320" style="font-family: MathJax_Main; padding-left: 0.237em;">452</span><span class="msubsup" id="MathJax-Span-14321"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14322" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14323"><span class="mrow" id="MathJax-Span-14324"><span class="mn" id="MathJax-Span-14325" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14326"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14327" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14328"><span class="mrow" id="MathJax-Span-14329"><span class="mn" id="MathJax-Span-14330" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14331" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14332" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14333" style="font-family: MathJax_Main; padding-left: 0.237em;">164</span><span class="msubsup" id="MathJax-Span-14334"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14335" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14336"><span class="mrow" id="MathJax-Span-14337"><span class="mn" id="MathJax-Span-14338" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14339"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14340" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14341"><span class="mrow" id="MathJax-Span-14342"><span class="mn" id="MathJax-Span-14343" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14344" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14345" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-14346"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14347" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14348"><span class="mrow" id="MathJax-Span-14349"><span class="mn" id="MathJax-Span-14350" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14351"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14352" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14353"><span class="mrow" id="MathJax-Span-14354"><span class="mn" id="MathJax-Span-14355" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14356"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14357" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14358"><span class="mrow" id="MathJax-Span-14359"><span class="mn" id="MathJax-Span-14360" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14361" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14362" style="font-family: MathJax_Main; padding-left: 0.237em;">324</span><span class="msubsup" id="MathJax-Span-14363"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14364" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14365"><span class="mrow" id="MathJax-Span-14366"><span class="mn" id="MathJax-Span-14367" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14368"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14369" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14370"><span class="mrow" id="MathJax-Span-14371"><span class="mn" id="MathJax-Span-14372" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14373"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14374" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14375"><span class="mrow" id="MathJax-Span-14376"><span class="mn" id="MathJax-Span-14377" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14378" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14379" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-14380"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14381" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14382"><span class="mrow" id="MathJax-Span-14383"><span class="mn" id="MathJax-Span-14384" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14385"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14386" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14387"><span class="mrow" id="MathJax-Span-14388"><span class="mn" id="MathJax-Span-14389" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14390" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14391" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14392" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-14393"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14394" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14395"><span class="mrow" id="MathJax-Span-14396"><span class="mn" id="MathJax-Span-14397" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14398"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14399" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14400"><span class="mrow" id="MathJax-Span-14401"><span class="mn" id="MathJax-Span-14402" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.69em, 4.218em, -999.997em); top: 4.16em; left: 0em;"><span class="mo" id="MathJax-Span-14403" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-14404" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-14405"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14406" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14407"><span class="mrow" id="MathJax-Span-14408"><span class="mn" id="MathJax-Span-14409" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14410" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14411"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14412" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14413"><span class="mrow" id="MathJax-Span-14414"><span class="mn" id="MathJax-Span-14415" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14416" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14417" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-14418"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14419" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14420"><span class="mrow" id="MathJax-Span-14421"><span class="mn" id="MathJax-Span-14422" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14423" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14424"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14425" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14426"><span class="mrow" id="MathJax-Span-14427"><span class="mn" id="MathJax-Span-14428" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14429" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14430" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-14431"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14432" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14433"><span class="mrow" id="MathJax-Span-14434"><span class="mn" id="MathJax-Span-14435" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14436" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14437" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14438" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14439" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-14440"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14441" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14442"><span class="mrow" id="MathJax-Span-14443"><span class="mn" id="MathJax-Span-14444" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14445" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-14446" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14447" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-14448"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14449" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14450"><span class="mrow" id="MathJax-Span-14451"><span class="mn" id="MathJax-Span-14452" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14453"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14454" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14455"><span class="mrow" id="MathJax-Span-14456"><span class="mn" id="MathJax-Span-14457" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14458" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14459" style="font-family: MathJax_Main; padding-left: 0.237em;">190</span><span class="msubsup" id="MathJax-Span-14460"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14461" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14462"><span class="mrow" id="MathJax-Span-14463"><span class="mn" id="MathJax-Span-14464" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14465"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14466" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14467"><span class="mrow" id="MathJax-Span-14468"><span class="mn" id="MathJax-Span-14469" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14470" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14471" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-14472"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14473" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14474"><span class="mrow" id="MathJax-Span-14475"><span class="mn" id="MathJax-Span-14476" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14477" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14478" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14479" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-14480"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14481" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14482"><span class="mrow" id="MathJax-Span-14483"><span class="mn" id="MathJax-Span-14484" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14485" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14486" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-14487" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14488"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14489" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14490"><span class="mrow" id="MathJax-Span-14491"><span class="mn" id="MathJax-Span-14492" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14493"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14494" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14495"><span class="mrow" id="MathJax-Span-14496"><span class="mn" id="MathJax-Span-14497" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14498" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14499" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="mi" id="MathJax-Span-14500" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14501"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14502" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14503"><span class="mrow" id="MathJax-Span-14504"><span class="mn" id="MathJax-Span-14505" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14506"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14507" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14508"><span class="mrow" id="MathJax-Span-14509"><span class="mn" id="MathJax-Span-14510" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14511" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14512" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="mi" id="MathJax-Span-14513" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14514"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14515" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14516"><span class="mrow" id="MathJax-Span-14517"><span class="mn" id="MathJax-Span-14518" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14519" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14520" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14521" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-14522" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14523"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14524" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14525"><span class="mrow" id="MathJax-Span-14526"><span class="mn" id="MathJax-Span-14527" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14528" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14529" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-14530" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14531"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14532" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14533"><span class="mrow" id="MathJax-Span-14534"><span class="mn" id="MathJax-Span-14535" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14536"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14537" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14538"><span class="mrow" id="MathJax-Span-14539"><span class="mn" id="MathJax-Span-14540" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.86em, 4.218em, -999.997em); top: 5.506em; left: 0em;"><span class="mo" id="MathJax-Span-14541" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-14542" style="font-family: MathJax_Main; padding-left: 0.237em;">218</span><span class="mi" id="MathJax-Span-14543" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14544"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14545" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14546"><span class="mrow" id="MathJax-Span-14547"><span class="mn" id="MathJax-Span-14548" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14549"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14550" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14551"><span class="mrow" id="MathJax-Span-14552"><span class="mn" id="MathJax-Span-14553" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14554" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14555" style="font-family: MathJax_Main; padding-left: 0.237em;">238</span><span class="mi" id="MathJax-Span-14556" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14557"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14558" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14559"><span class="mrow" id="MathJax-Span-14560"><span class="mn" id="MathJax-Span-14561" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14562" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14563" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14564" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="mi" id="MathJax-Span-14565" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14566"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14567" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14568"><span class="mrow" id="MathJax-Span-14569"><span class="mn" id="MathJax-Span-14570" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14571" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14572" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="mi" id="MathJax-Span-14573" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14574"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14575" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14576"><span class="mrow" id="MathJax-Span-14577"><span class="mn" id="MathJax-Span-14578" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14579"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14580" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14581"><span class="mrow" id="MathJax-Span-14582"><span class="mn" id="MathJax-Span-14583" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14584" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14585" style="font-family: MathJax_Main; padding-left: 0.237em;">171</span><span class="mi" id="MathJax-Span-14586" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14587"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14588" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14589"><span class="mrow" id="MathJax-Span-14590"><span class="mn" id="MathJax-Span-14591" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14592"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14593" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14594"><span class="mrow" id="MathJax-Span-14595"><span class="mn" id="MathJax-Span-14596" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14597" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14598" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="mi" id="MathJax-Span-14599" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14600"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14601" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14602"><span class="mrow" id="MathJax-Span-14603"><span class="mn" id="MathJax-Span-14604" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14605" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14606" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14607" style="font-family: MathJax_Main; padding-left: 0.237em;">87</span><span class="mi" id="MathJax-Span-14608" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14609"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14610" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14611"><span class="mrow" id="MathJax-Span-14612"><span class="mn" id="MathJax-Span-14613" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14614" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14615" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-14616" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-14617" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14618"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14619" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14620"><span class="mrow" id="MathJax-Span-14621"><span class="mn" id="MathJax-Span-14622" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14623" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14624" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-14625" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-14626" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14627"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14628" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14629"><span class="mrow" id="MathJax-Span-14630"><span class="mn" id="MathJax-Span-14631" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14632" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-14633" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-14634" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-14635" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14636" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14637" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14638" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-14639" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-14640" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-14641" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14642" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="mi" id="MathJax-Span-14643" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14644"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14645" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14646"><span class="mrow" id="MathJax-Span-14647"><span class="mn" id="MathJax-Span-14648" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14649" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14650" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-14651" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14652"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14653" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14654"><span class="mrow" id="MathJax-Span-14655"><span class="mn" id="MathJax-Span-14656" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14657" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14658" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-14659"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14660" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14661"><span class="mrow" id="MathJax-Span-14662"><span class="mn" id="MathJax-Span-14663" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14664"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14665" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14666"><span class="mrow" id="MathJax-Span-14667"><span class="mn" id="MathJax-Span-14668" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1051.23em, 4.218em, -999.997em); top: 6.853em; left: 0em;"><span class="mo" id="MathJax-Span-14669" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-14670" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-14671"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14672" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14673"><span class="mrow" id="MathJax-Span-14674"><span class="mn" id="MathJax-Span-14675" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14676"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14677" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14678"><span class="mrow" id="MathJax-Span-14679"><span class="mn" id="MathJax-Span-14680" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14681" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14682" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-14683"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14684" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14685"><span class="mrow" id="MathJax-Span-14686"><span class="mn" id="MathJax-Span-14687" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14688" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14689" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14690" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-14691"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14692" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14693"><span class="mrow" id="MathJax-Span-14694"><span class="mn" id="MathJax-Span-14695" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14696" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14697" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-14698"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14699" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14700"><span class="mrow" id="MathJax-Span-14701"><span class="mn" id="MathJax-Span-14702" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14703"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14704" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14705"><span class="mrow" id="MathJax-Span-14706"><span class="mn" id="MathJax-Span-14707" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14708" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14709" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-14710"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14711" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14712"><span class="mrow" id="MathJax-Span-14713"><span class="mn" id="MathJax-Span-14714" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14715"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14716" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14717"><span class="mrow" id="MathJax-Span-14718"><span class="mn" id="MathJax-Span-14719" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14720" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14721" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-14722"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14723" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14724"><span class="mrow" id="MathJax-Span-14725"><span class="mn" id="MathJax-Span-14726" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14727" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14728" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14729" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-14730"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14731" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14732"><span class="mrow" id="MathJax-Span-14733"><span class="mn" id="MathJax-Span-14734" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14735" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14736" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-14737"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14738" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14739"><span class="mrow" id="MathJax-Span-14740"><span class="mn" id="MathJax-Span-14741" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14742"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14743" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14744"><span class="mrow" id="MathJax-Span-14745"><span class="mn" id="MathJax-Span-14746" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14747" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14748" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-14749"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14750" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14751"><span class="mrow" id="MathJax-Span-14752"><span class="mn" id="MathJax-Span-14753" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14754"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14755" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14756"><span class="mrow" id="MathJax-Span-14757"><span class="mn" id="MathJax-Span-14758" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14759" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14760" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-14761"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14762" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14763"><span class="mrow" id="MathJax-Span-14764"><span class="mn" id="MathJax-Span-14765" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14766" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14767" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14768" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-14769"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14770" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14771"><span class="mrow" id="MathJax-Span-14772"><span class="mn" id="MathJax-Span-14773" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14774" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14775" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-14776" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-14777"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14778" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14779"><span class="mrow" id="MathJax-Span-14780"><span class="mn" id="MathJax-Span-14781" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14782" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-14783" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-14784" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14785" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14786" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14787" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-14788"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14789" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14790"><span class="mrow" id="MathJax-Span-14791"><span class="mn" id="MathJax-Span-14792" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14793" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14794" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-14795"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; 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class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>66</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>218</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>238</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>86</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>42</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>171</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>216</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>87</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><mi>s</mi><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>s</mi><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>4</mn><mi>s</mi><mi>t</mi><mi>u</mi><mo>+</mo><mn>2</mn><mi>s</mi><mi>t</mi><mo>+</mo><mn>46</mn><mi>s</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>66</mn><mi>s</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>4</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>18</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>18</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>t</mi><mi>u</mi><mo>+</mo><mn>10</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-212">4 s^{5} t^{4} u^{3} + 12 s^{5} t^{4} u^{2} + 12 s^{5} t^{4} u + 4 s^{5} t^{4} + 10 s^{5} t^{3} u^{3} + 34 s^{5} t^{3} u^{2} + 38 s^{5} t^{3} u + 14 s^{5} t^{3} + 6 s^{5} t^{2} u^{3} + 27 s^{5} t^{2} u^{2} + 36 s^{5} t^{2} u + 15 s^{5} t^{2} + 8 s^{5} t u^{3} + 18 s^{5} t u^{2} + 16 s^{5} t u + 6 s^{5} t + 8 s^{5} u^{3} + 24 s^{5} u^{2} + 22 s^{5} u + 10 s^{5} + 20 s^{4} t^{4} u^{3} + 60 s^{4} t^{4} u^{2} + 60 s^{4} t^{4} u + 20 s^{4} t^{4} + 54 s^{4} t^{3} u^{3} + 182 s^{4} t^{3} u^{2} + 202 s^{4} t^{3} u + 74 s^{4} t^{3} + 33 s^{4} t^{2} u^{3} + 144 s^{4} t^{2} u^{2} + 189 s^{4} t^{2} u + 78 s^{4} t^{2} + 34 s^{4} t u^{3} + 72 s^{4} t u^{2} + 62 s^{4} t u + 24 s^{4} t + 44 s^{4} u^{3} + 114 s^{4} u^{2} + 90 s^{4} u + 40 s^{4} + 40 s^{3} t^{4} u^{3} + 120 s^{3} t^{4} u^{2} + 120 s^{3} t^{4} u + 40 s^{3} t^{4} + 116 s^{3} t^{3} u^{3} + 388 s^{3} t^{3} u^{2} + 428 s^{3} t^{3} u + 156 s^{3} t^{3} + 72 s^{3} t^{2} u^{3} + 306 s^{3} t^{2} u^{2} + 396 s^{3} t^{2} u + 162 s^{3} t^{2} + 56 s^{3} t u^{3} + 108 s^{3} t u^{2} + 88 s^{3} t u + 36 s^{3} t + 96 s^{3} u^{3} + 216 s^{3} u^{2} + 140 s^{3} u + 60 s^{3} + 40 s^{2} t^{4} u^{3} + 120 s^{2} t^{4} u^{2} + 120 s^{2} t^{4} u + 40 s^{2} t^{4} + 124 s^{2} t^{3} u^{3} + 412 s^{2} t^{3} u^{2} + 452 s^{2} t^{3} u + 164 s^{2} t^{3} + 78 s^{2} t^{2} u^{3} + 324 s^{2} t^{2} u^{2} + 414 s^{2} t^{2} u + 168 s^{2} t^{2} + 40 s^{2} t u^{3} + 60 s^{2} t u^{2} + 40 s^{2} t u + 20 s^{2} t + 100 s^{2} u^{3} + 190 s^{2} u^{2} + 84 s^{2} u + 34 s^{2} + 20 s t^{4} u^{3} + 60 s t^{4} u^{2} + 60 s t^{4} u + 20 s t^{4} + 66 s t^{3} u^{3} + 218 s t^{3} u^{2} + 238 s t^{3} u + 86 s t^{3} + 42 s t^{2} u^{3} + 171 s t^{2} u^{2} + 216 s t^{2} u + 87 s t^{2} + 12 s t u^{3} + 6 s t u^{2} - 4 s t u + 2 s t + 46 s u^{3} + 66 s u^{2} + 4 t^{4} u^{3} + 12 t^{4} u^{2} + 12 t^{4} u + 4 t^{4} + 14 t^{3} u^{3} + 46 t^{3} u^{2} + 50 t^{3} u + 18 t^{3} + 9 t^{2} u^{3} + 36 t^{2} u^{2} + 45 t^{2} u + 18 t^{2} + 2 t u^{3} - 2 t u + 10 u^{3} + 14 u^{2}</script>
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status: 0
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</div>
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From weighted AM-GM inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-213-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><mi>s</mi><mi>t</mi><mi>u</mi><mo>&#x2264;</mo><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-14800" style="width: 12.649em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.366em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.37em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-14801"><span class="mn" id="MathJax-Span-14802" style="font-family: MathJax_Main;">4</span><span class="mi" id="MathJax-Span-14803" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-14804" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14805" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14806" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-14807" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14808" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14809"><span class="mrow" id="MathJax-Span-14810"><span class="mn" id="MathJax-Span-14811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14812"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14813" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14814"><span class="mrow" id="MathJax-Span-14815"><span class="mn" id="MathJax-Span-14816" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14817" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14818" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-14819" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-14820"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14821" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14822"><span class="mrow" id="MathJax-Span-14823"><span class="mn" id="MathJax-Span-14824" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14825" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-14826" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14827" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14828"><span class="mrow" id="MathJax-Span-14829"><span class="mn" id="MathJax-Span-14830" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><mi>s</mi><mi>t</mi><mi>u</mi><mo>≤</mo><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>s</mi><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-213">4 s t u \le s^{2} u^{2}+2 s t^{2}+u^{2}</script>
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<div class="prompt"></div>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-214-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>t</mi><mi>u</mi><mo>&#x2264;</mo><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-14831" style="width: 7.087em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1005.8em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-14832"><span class="mn" id="MathJax-Span-14833" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-14834" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-14835" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14836" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-14837" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14838" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14839"><span class="mrow" id="MathJax-Span-14840"><span class="mn" id="MathJax-Span-14841" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14842" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-14843" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14844" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14845"><span class="mrow" id="MathJax-Span-14846"><span class="mn" id="MathJax-Span-14847" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>t</mi><mi>u</mi><mo>≤</mo><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-214">2 t u \le t^{2}+u^{2}</script>
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class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>4</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>18</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>17</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-14848" style="width: 100%; display: inline-block; min-width: 68.153em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(12.239em, 1055.86em, 24.827em, -999.997em); top: -13.287em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-14849"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1054.1em, 4.277em, -999.997em); top: -3.978em; left: 50%; margin-left: -27.046em;"><span class="mn" id="MathJax-Span-14850" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-14851" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-14852" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-14853"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14854" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14855"><span class="mrow" id="MathJax-Span-14856"><span class="mn" id="MathJax-Span-14857" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14858"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14859" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14860"><span class="mrow" id="MathJax-Span-14861"><span class="mn" id="MathJax-Span-14862" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14863"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14864" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14865"><span class="mrow" id="MathJax-Span-14866"><span class="mn" id="MathJax-Span-14867" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14868" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14869" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-14870"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14871" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14872"><span class="mrow" id="MathJax-Span-14873"><span class="mn" id="MathJax-Span-14874" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14875"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14876" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14877"><span class="mrow" id="MathJax-Span-14878"><span class="mn" id="MathJax-Span-14879" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14880"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14881" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14882"><span class="mrow" id="MathJax-Span-14883"><span class="mn" id="MathJax-Span-14884" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14885" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14886" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-14887"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14888" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14889"><span class="mrow" id="MathJax-Span-14890"><span class="mn" id="MathJax-Span-14891" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14892"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14893" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14894"><span class="mrow" id="MathJax-Span-14895"><span class="mn" id="MathJax-Span-14896" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14897" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14898" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14899" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-14900"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14901" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14902"><span class="mrow" id="MathJax-Span-14903"><span class="mn" id="MathJax-Span-14904" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14905"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14906" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14907"><span class="mrow" id="MathJax-Span-14908"><span class="mn" id="MathJax-Span-14909" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14910" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14911" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-14912"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14913" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14914"><span class="mrow" id="MathJax-Span-14915"><span class="mn" id="MathJax-Span-14916" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14917"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14918" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14919"><span class="mrow" id="MathJax-Span-14920"><span class="mn" id="MathJax-Span-14921" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14922"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14923" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14924"><span class="mrow" id="MathJax-Span-14925"><span class="mn" id="MathJax-Span-14926" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14927" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14928" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-14929"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14930" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14931"><span class="mrow" id="MathJax-Span-14932"><span class="mn" id="MathJax-Span-14933" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14934"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14935" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14936"><span class="mrow" id="MathJax-Span-14937"><span class="mn" id="MathJax-Span-14938" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14939"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14940" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14941"><span class="mrow" id="MathJax-Span-14942"><span class="mn" id="MathJax-Span-14943" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14944" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14945" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-14946"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14947" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14948"><span class="mrow" id="MathJax-Span-14949"><span class="mn" id="MathJax-Span-14950" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14951"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14952" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14953"><span class="mrow" id="MathJax-Span-14954"><span class="mn" id="MathJax-Span-14955" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-14956" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-14957" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14958" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-14959"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14960" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14961"><span class="mrow" id="MathJax-Span-14962"><span class="mn" id="MathJax-Span-14963" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14964"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14965" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14966"><span class="mrow" id="MathJax-Span-14967"><span class="mn" id="MathJax-Span-14968" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14969" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14970" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-14971"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14972" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14973"><span class="mrow" id="MathJax-Span-14974"><span class="mn" id="MathJax-Span-14975" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14976"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14977" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14978"><span class="mrow" id="MathJax-Span-14979"><span class="mn" id="MathJax-Span-14980" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14981"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14982" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-14983"><span class="mrow" id="MathJax-Span-14984"><span class="mn" id="MathJax-Span-14985" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-14986" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-14987" style="font-family: MathJax_Main; padding-left: 0.237em;">27</span><span class="msubsup" id="MathJax-Span-14988"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14989" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-14990"><span class="mrow" id="MathJax-Span-14991"><span class="mn" id="MathJax-Span-14992" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14993"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14994" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-14995"><span class="mrow" id="MathJax-Span-14996"><span class="mn" id="MathJax-Span-14997" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-14998"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-14999" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15000"><span class="mrow" id="MathJax-Span-15001"><span class="mn" id="MathJax-Span-15002" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15003" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15004" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-15005"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15006" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15007"><span class="mrow" id="MathJax-Span-15008"><span class="mn" id="MathJax-Span-15009" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15010"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15011" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15012"><span class="mrow" id="MathJax-Span-15013"><span class="mn" id="MathJax-Span-15014" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15015" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15016" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15017" style="font-family: MathJax_Main; padding-left: 0.237em;">15</span><span class="msubsup" id="MathJax-Span-15018"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15019" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15020"><span class="mrow" id="MathJax-Span-15021"><span class="mn" id="MathJax-Span-15022" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15023"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15024" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15025"><span class="mrow" id="MathJax-Span-15026"><span class="mn" id="MathJax-Span-15027" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.34em, 4.218em, -999.997em); top: -2.515em; left: 50%; margin-left: -26.636em;"><span class="mo" id="MathJax-Span-15028" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15029" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-15030"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15031" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15032"><span class="mrow" id="MathJax-Span-15033"><span class="mn" id="MathJax-Span-15034" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15035" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15036"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15037" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15038"><span class="mrow" id="MathJax-Span-15039"><span class="mn" id="MathJax-Span-15040" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15041" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15042" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-15043"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15044" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15045"><span class="mrow" id="MathJax-Span-15046"><span class="mn" id="MathJax-Span-15047" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15048" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15049"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15050" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15051"><span class="mrow" id="MathJax-Span-15052"><span class="mn" id="MathJax-Span-15053" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15054" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15055" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-15056"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15057" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15058"><span class="mrow" id="MathJax-Span-15059"><span class="mn" id="MathJax-Span-15060" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15061" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-15062" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15063" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15064" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-15065"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15066" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15067"><span class="mrow" id="MathJax-Span-15068"><span class="mn" id="MathJax-Span-15069" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15070" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-15071" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15072" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-15073"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15074" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15075"><span class="mrow" id="MathJax-Span-15076"><span class="mn" id="MathJax-Span-15077" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15078"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15079" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15080"><span class="mrow" id="MathJax-Span-15081"><span class="mn" id="MathJax-Span-15082" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15083" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15084" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-15085"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15086" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15087"><span class="mrow" id="MathJax-Span-15088"><span class="mn" id="MathJax-Span-15089" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15090"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15091" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15092"><span class="mrow" id="MathJax-Span-15093"><span class="mn" id="MathJax-Span-15094" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15095" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15096" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-15097"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15098" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15099"><span class="mrow" id="MathJax-Span-15100"><span class="mn" id="MathJax-Span-15101" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15102" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15103" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15104" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-15105"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15106" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15107"><span class="mrow" id="MathJax-Span-15108"><span class="mn" id="MathJax-Span-15109" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15110" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15111" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-15112"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15113" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15114"><span class="mrow" id="MathJax-Span-15115"><span class="mn" id="MathJax-Span-15116" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15117"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15118" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15119"><span class="mrow" id="MathJax-Span-15120"><span class="mn" id="MathJax-Span-15121" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15122"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15123" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15124"><span class="mrow" id="MathJax-Span-15125"><span class="mn" id="MathJax-Span-15126" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15127" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15128" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-15129"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15130" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15131"><span class="mrow" id="MathJax-Span-15132"><span class="mn" id="MathJax-Span-15133" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15134"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15135" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15136"><span class="mrow" id="MathJax-Span-15137"><span class="mn" id="MathJax-Span-15138" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15139"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15140" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15141"><span class="mrow" id="MathJax-Span-15142"><span class="mn" id="MathJax-Span-15143" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15144" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15145" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-15146"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15147" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15148"><span class="mrow" id="MathJax-Span-15149"><span class="mn" id="MathJax-Span-15150" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15151"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15152" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15153"><span class="mrow" id="MathJax-Span-15154"><span class="mn" id="MathJax-Span-15155" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15156" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15157" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15158" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-15159"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15160" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15161"><span class="mrow" id="MathJax-Span-15162"><span class="mn" id="MathJax-Span-15163" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15164"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15165" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15166"><span class="mrow" id="MathJax-Span-15167"><span class="mn" id="MathJax-Span-15168" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15169" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15170" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-15171"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15172" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15173"><span class="mrow" id="MathJax-Span-15174"><span class="mn" id="MathJax-Span-15175" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15176"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15177" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15178"><span class="mrow" id="MathJax-Span-15179"><span class="mn" id="MathJax-Span-15180" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15181"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15182" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15183"><span class="mrow" id="MathJax-Span-15184"><span class="mn" id="MathJax-Span-15185" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.28em, 4.218em, -999.997em); top: -1.109em; left: 50%; margin-left: -27.105em;"><span class="mo" id="MathJax-Span-15186" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15187" style="font-family: MathJax_Main; padding-left: 0.237em;">182</span><span class="msubsup" id="MathJax-Span-15188"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15189" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15190"><span class="mrow" id="MathJax-Span-15191"><span class="mn" id="MathJax-Span-15192" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15193"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15194" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15195"><span class="mrow" id="MathJax-Span-15196"><span class="mn" id="MathJax-Span-15197" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15198"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15199" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15200"><span class="mrow" id="MathJax-Span-15201"><span class="mn" id="MathJax-Span-15202" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15203" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15204" style="font-family: MathJax_Main; padding-left: 0.237em;">202</span><span class="msubsup" id="MathJax-Span-15205"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15206" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15207"><span class="mrow" id="MathJax-Span-15208"><span class="mn" id="MathJax-Span-15209" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15210"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15211" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15212"><span class="mrow" id="MathJax-Span-15213"><span class="mn" id="MathJax-Span-15214" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15215" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15216" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15217" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-15218"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15219" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15220"><span class="mrow" id="MathJax-Span-15221"><span class="mn" id="MathJax-Span-15222" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15223"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15224" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15225"><span class="mrow" id="MathJax-Span-15226"><span class="mn" id="MathJax-Span-15227" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15228" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15229" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="msubsup" id="MathJax-Span-15230"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15231" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15232"><span class="mrow" id="MathJax-Span-15233"><span class="mn" id="MathJax-Span-15234" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15235"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15236" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15237"><span class="mrow" id="MathJax-Span-15238"><span class="mn" id="MathJax-Span-15239" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15240"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15241" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15242"><span class="mrow" id="MathJax-Span-15243"><span class="mn" id="MathJax-Span-15244" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15245" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15246" style="font-family: MathJax_Main; padding-left: 0.237em;">144</span><span class="msubsup" id="MathJax-Span-15247"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15248" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15249"><span class="mrow" id="MathJax-Span-15250"><span class="mn" id="MathJax-Span-15251" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15252"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15253" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15254"><span class="mrow" id="MathJax-Span-15255"><span class="mn" id="MathJax-Span-15256" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15257"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15258" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15259"><span class="mrow" id="MathJax-Span-15260"><span class="mn" id="MathJax-Span-15261" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15262" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15263" style="font-family: MathJax_Main; padding-left: 0.237em;">189</span><span class="msubsup" id="MathJax-Span-15264"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15265" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15266"><span class="mrow" id="MathJax-Span-15267"><span class="mn" id="MathJax-Span-15268" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15269"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15270" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15271"><span class="mrow" id="MathJax-Span-15272"><span class="mn" id="MathJax-Span-15273" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15274" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15275" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15276" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-15277"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15278" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15279"><span class="mrow" id="MathJax-Span-15280"><span class="mn" id="MathJax-Span-15281" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15282"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15283" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15284"><span class="mrow" id="MathJax-Span-15285"><span class="mn" id="MathJax-Span-15286" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15287" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15288" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-15289"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15290" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15291"><span class="mrow" id="MathJax-Span-15292"><span class="mn" id="MathJax-Span-15293" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15294" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15295"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15296" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15297"><span class="mrow" id="MathJax-Span-15298"><span class="mn" id="MathJax-Span-15299" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15300" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15301" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-15302"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15303" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15304"><span class="mrow" id="MathJax-Span-15305"><span class="mn" id="MathJax-Span-15306" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15307" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15308"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15309" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15310"><span class="mrow" id="MathJax-Span-15311"><span class="mn" id="MathJax-Span-15312" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15313" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15314" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-15315"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15316" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15317"><span class="mrow" id="MathJax-Span-15318"><span class="mn" id="MathJax-Span-15319" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15320" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-15321" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15322" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15323" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-15324"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15325" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15326"><span class="mrow" id="MathJax-Span-15327"><span class="mn" id="MathJax-Span-15328" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15329" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-15330" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15331" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-15332"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15333" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15334"><span class="mrow" id="MathJax-Span-15335"><span class="mn" id="MathJax-Span-15336" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15337"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15338" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15339"><span class="mrow" id="MathJax-Span-15340"><span class="mn" id="MathJax-Span-15341" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.86em, 4.218em, -999.997em); top: 0.296em; left: 50%; margin-left: -27.924em;"><span class="mo" id="MathJax-Span-15342" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15343" style="font-family: MathJax_Main; padding-left: 0.237em;">114</span><span class="msubsup" id="MathJax-Span-15344"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15345" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15346"><span class="mrow" id="MathJax-Span-15347"><span class="mn" id="MathJax-Span-15348" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15349"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15350" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15351"><span class="mrow" id="MathJax-Span-15352"><span class="mn" id="MathJax-Span-15353" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15354" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15355" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-15356"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15357" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15358"><span class="mrow" id="MathJax-Span-15359"><span class="mn" id="MathJax-Span-15360" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15361" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15362" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15363" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15364"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15365" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15366"><span class="mrow" id="MathJax-Span-15367"><span class="mn" id="MathJax-Span-15368" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15369" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15370" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15371"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15372" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15373"><span class="mrow" id="MathJax-Span-15374"><span class="mn" id="MathJax-Span-15375" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15376"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15377" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15378"><span class="mrow" id="MathJax-Span-15379"><span class="mn" id="MathJax-Span-15380" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15381"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15382" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15383"><span class="mrow" id="MathJax-Span-15384"><span class="mn" id="MathJax-Span-15385" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15386" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15387" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-15388"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15389" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15390"><span class="mrow" id="MathJax-Span-15391"><span class="mn" id="MathJax-Span-15392" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15393"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15394" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15395"><span class="mrow" id="MathJax-Span-15396"><span class="mn" id="MathJax-Span-15397" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15398"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15399" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15400"><span class="mrow" id="MathJax-Span-15401"><span class="mn" id="MathJax-Span-15402" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15403" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15404" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-15405"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15406" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15407"><span class="mrow" id="MathJax-Span-15408"><span class="mn" id="MathJax-Span-15409" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15410"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15411" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15412"><span class="mrow" id="MathJax-Span-15413"><span class="mn" id="MathJax-Span-15414" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15415" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15416" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15417" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15418"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15419" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15420"><span class="mrow" id="MathJax-Span-15421"><span class="mn" id="MathJax-Span-15422" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15423"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15424" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15425"><span class="mrow" id="MathJax-Span-15426"><span class="mn" id="MathJax-Span-15427" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15428" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15429" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-15430"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15431" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15432"><span class="mrow" id="MathJax-Span-15433"><span class="mn" id="MathJax-Span-15434" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15435"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15436" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15437"><span class="mrow" id="MathJax-Span-15438"><span class="mn" id="MathJax-Span-15439" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15440"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15441" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15442"><span class="mrow" id="MathJax-Span-15443"><span class="mn" id="MathJax-Span-15444" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15445" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15446" style="font-family: MathJax_Main; padding-left: 0.237em;">388</span><span class="msubsup" id="MathJax-Span-15447"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15448" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15449"><span class="mrow" id="MathJax-Span-15450"><span class="mn" id="MathJax-Span-15451" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15452"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15453" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15454"><span class="mrow" id="MathJax-Span-15455"><span class="mn" id="MathJax-Span-15456" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15457"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15458" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15459"><span class="mrow" id="MathJax-Span-15460"><span class="mn" id="MathJax-Span-15461" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15462" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15463" style="font-family: MathJax_Main; padding-left: 0.237em;">428</span><span class="msubsup" id="MathJax-Span-15464"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15465" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15466"><span class="mrow" id="MathJax-Span-15467"><span class="mn" id="MathJax-Span-15468" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15469"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15470" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15471"><span class="mrow" id="MathJax-Span-15472"><span class="mn" id="MathJax-Span-15473" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15474" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15475" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15476" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-15477"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15478" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15479"><span class="mrow" id="MathJax-Span-15480"><span class="mn" id="MathJax-Span-15481" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15482"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15483" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15484"><span class="mrow" id="MathJax-Span-15485"><span class="mn" id="MathJax-Span-15486" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15487" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15488" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-15489"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15490" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15491"><span class="mrow" id="MathJax-Span-15492"><span class="mn" id="MathJax-Span-15493" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15494"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15495" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15496"><span class="mrow" id="MathJax-Span-15497"><span class="mn" id="MathJax-Span-15498" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15499"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15500" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15501"><span class="mrow" id="MathJax-Span-15502"><span class="mn" id="MathJax-Span-15503" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.87em, 4.218em, -999.997em); top: 1.701em; left: 50%; margin-left: -26.461em;"><span class="mo" id="MathJax-Span-15504" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15505" style="font-family: MathJax_Main; padding-left: 0.237em;">306</span><span class="msubsup" id="MathJax-Span-15506"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15507" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15508"><span class="mrow" id="MathJax-Span-15509"><span class="mn" id="MathJax-Span-15510" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15511"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15512" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15513"><span class="mrow" id="MathJax-Span-15514"><span class="mn" id="MathJax-Span-15515" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15516"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15517" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15518"><span class="mrow" id="MathJax-Span-15519"><span class="mn" id="MathJax-Span-15520" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15521" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15522" style="font-family: MathJax_Main; padding-left: 0.237em;">396</span><span class="msubsup" id="MathJax-Span-15523"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15524" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15525"><span class="mrow" id="MathJax-Span-15526"><span class="mn" id="MathJax-Span-15527" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15528"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15529" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15530"><span class="mrow" id="MathJax-Span-15531"><span class="mn" id="MathJax-Span-15532" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15533" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15534" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15535" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-15536"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15537" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15538"><span class="mrow" id="MathJax-Span-15539"><span class="mn" id="MathJax-Span-15540" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15541"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15542" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15543"><span class="mrow" id="MathJax-Span-15544"><span class="mn" id="MathJax-Span-15545" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15546" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15547" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-15548"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15549" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15550"><span class="mrow" id="MathJax-Span-15551"><span class="mn" id="MathJax-Span-15552" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15553" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15554"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15555" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15556"><span class="mrow" id="MathJax-Span-15557"><span class="mn" id="MathJax-Span-15558" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15559" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15560" style="font-family: MathJax_Main; padding-left: 0.237em;">108</span><span class="msubsup" id="MathJax-Span-15561"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15562" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15563"><span class="mrow" id="MathJax-Span-15564"><span class="mn" id="MathJax-Span-15565" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15566" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15567"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15568" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15569"><span class="mrow" id="MathJax-Span-15570"><span class="mn" id="MathJax-Span-15571" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15572" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15573" style="font-family: MathJax_Main; padding-left: 0.237em;">88</span><span class="msubsup" id="MathJax-Span-15574"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15575" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15576"><span class="mrow" id="MathJax-Span-15577"><span class="mn" id="MathJax-Span-15578" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15579" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-15580" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15581" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15582" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-15583"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15584" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15585"><span class="mrow" id="MathJax-Span-15586"><span class="mn" id="MathJax-Span-15587" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15588" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-15589" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15590" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-15591"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15592" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15593"><span class="mrow" id="MathJax-Span-15594"><span class="mn" id="MathJax-Span-15595" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15596"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15597" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15598"><span class="mrow" id="MathJax-Span-15599"><span class="mn" id="MathJax-Span-15600" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15601" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15602" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-15603"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15604" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15605"><span class="mrow" id="MathJax-Span-15606"><span class="mn" id="MathJax-Span-15607" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15608"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15609" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15610"><span class="mrow" id="MathJax-Span-15611"><span class="mn" id="MathJax-Span-15612" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15613" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15614" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-15615"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15616" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15617"><span class="mrow" id="MathJax-Span-15618"><span class="mn" id="MathJax-Span-15619" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15620" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15621" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15622" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-15623"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15624" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15625"><span class="mrow" id="MathJax-Span-15626"><span class="mn" id="MathJax-Span-15627" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15628" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15629" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15630"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15631" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15632"><span class="mrow" id="MathJax-Span-15633"><span class="mn" id="MathJax-Span-15634" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15635"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15636" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15637"><span class="mrow" id="MathJax-Span-15638"><span class="mn" id="MathJax-Span-15639" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15640"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15641" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15642"><span class="mrow" id="MathJax-Span-15643"><span class="mn" id="MathJax-Span-15644" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.34em, 4.218em, -999.997em); top: 3.106em; left: 50%; margin-left: -27.163em;"><span class="mo" id="MathJax-Span-15645" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15646" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-15647"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15648" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15649"><span class="mrow" id="MathJax-Span-15650"><span class="mn" id="MathJax-Span-15651" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15652"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15653" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15654"><span class="mrow" id="MathJax-Span-15655"><span class="mn" id="MathJax-Span-15656" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15657"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15658" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15659"><span class="mrow" id="MathJax-Span-15660"><span class="mn" id="MathJax-Span-15661" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15662" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15663" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-15664"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15665" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15666"><span class="mrow" id="MathJax-Span-15667"><span class="mn" id="MathJax-Span-15668" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15669"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15670" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15671"><span class="mrow" id="MathJax-Span-15672"><span class="mn" id="MathJax-Span-15673" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15674" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15675" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15676" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15677"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15678" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15679"><span class="mrow" id="MathJax-Span-15680"><span class="mn" id="MathJax-Span-15681" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15682"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15683" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15684"><span class="mrow" id="MathJax-Span-15685"><span class="mn" id="MathJax-Span-15686" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15687" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15688" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-15689"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15690" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15691"><span class="mrow" id="MathJax-Span-15692"><span class="mn" id="MathJax-Span-15693" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15694"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15695" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15696"><span class="mrow" id="MathJax-Span-15697"><span class="mn" id="MathJax-Span-15698" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15699"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15700" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15701"><span class="mrow" id="MathJax-Span-15702"><span class="mn" id="MathJax-Span-15703" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15704" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15705" style="font-family: MathJax_Main; padding-left: 0.237em;">412</span><span class="msubsup" id="MathJax-Span-15706"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15707" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15708"><span class="mrow" id="MathJax-Span-15709"><span class="mn" id="MathJax-Span-15710" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15711"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15712" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15713"><span class="mrow" id="MathJax-Span-15714"><span class="mn" id="MathJax-Span-15715" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15716"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15717" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15718"><span class="mrow" id="MathJax-Span-15719"><span class="mn" id="MathJax-Span-15720" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15721" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15722" style="font-family: MathJax_Main; padding-left: 0.237em;">452</span><span class="msubsup" id="MathJax-Span-15723"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15724" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15725"><span class="mrow" id="MathJax-Span-15726"><span class="mn" id="MathJax-Span-15727" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15728"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15729" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15730"><span class="mrow" id="MathJax-Span-15731"><span class="mn" id="MathJax-Span-15732" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15733" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15734" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15735" style="font-family: MathJax_Main; padding-left: 0.237em;">164</span><span class="msubsup" id="MathJax-Span-15736"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15737" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15738"><span class="mrow" id="MathJax-Span-15739"><span class="mn" id="MathJax-Span-15740" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15741"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15742" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15743"><span class="mrow" id="MathJax-Span-15744"><span class="mn" id="MathJax-Span-15745" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15746" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15747" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-15748"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15749" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15750"><span class="mrow" id="MathJax-Span-15751"><span class="mn" id="MathJax-Span-15752" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15753"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15754" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15755"><span class="mrow" id="MathJax-Span-15756"><span class="mn" id="MathJax-Span-15757" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15758"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15759" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15760"><span class="mrow" id="MathJax-Span-15761"><span class="mn" id="MathJax-Span-15762" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15763" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15764" style="font-family: MathJax_Main; padding-left: 0.237em;">324</span><span class="msubsup" id="MathJax-Span-15765"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15766" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15767"><span class="mrow" id="MathJax-Span-15768"><span class="mn" id="MathJax-Span-15769" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15770"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15771" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15772"><span class="mrow" id="MathJax-Span-15773"><span class="mn" id="MathJax-Span-15774" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15775"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15776" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15777"><span class="mrow" id="MathJax-Span-15778"><span class="mn" id="MathJax-Span-15779" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15780" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15781" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-15782"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15783" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15784"><span class="mrow" id="MathJax-Span-15785"><span class="mn" id="MathJax-Span-15786" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15787"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15788" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15789"><span class="mrow" id="MathJax-Span-15790"><span class="mn" id="MathJax-Span-15791" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15792" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15793" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15794" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-15795"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15796" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15797"><span class="mrow" id="MathJax-Span-15798"><span class="mn" id="MathJax-Span-15799" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15800"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15801" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15802"><span class="mrow" id="MathJax-Span-15803"><span class="mn" id="MathJax-Span-15804" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.69em, 4.218em, -999.997em); top: 4.511em; left: 50%; margin-left: -26.812em;"><span class="mo" id="MathJax-Span-15805" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15806" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15807"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15808" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15809"><span class="mrow" id="MathJax-Span-15810"><span class="mn" id="MathJax-Span-15811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15812" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15813"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15814" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15815"><span class="mrow" id="MathJax-Span-15816"><span class="mn" id="MathJax-Span-15817" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15818" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15819" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-15820"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15821" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15822"><span class="mrow" id="MathJax-Span-15823"><span class="mn" id="MathJax-Span-15824" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15825" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-15826"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15827" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15828"><span class="mrow" id="MathJax-Span-15829"><span class="mn" id="MathJax-Span-15830" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15831" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15832" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-15833"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15834" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15835"><span class="mrow" id="MathJax-Span-15836"><span class="mn" id="MathJax-Span-15837" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15838" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mi" id="MathJax-Span-15839" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15840" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15841" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-15842"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15843" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15844"><span class="mrow" id="MathJax-Span-15845"><span class="mn" id="MathJax-Span-15846" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15847" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-15848" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15849" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-15850"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15851" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15852"><span class="mrow" id="MathJax-Span-15853"><span class="mn" id="MathJax-Span-15854" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15855"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15856" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15857"><span class="mrow" id="MathJax-Span-15858"><span class="mn" id="MathJax-Span-15859" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15860" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15861" style="font-family: MathJax_Main; padding-left: 0.237em;">189</span><span class="msubsup" id="MathJax-Span-15862"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15863" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15864"><span class="mrow" id="MathJax-Span-15865"><span class="mn" id="MathJax-Span-15866" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15867"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15868" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15869"><span class="mrow" id="MathJax-Span-15870"><span class="mn" id="MathJax-Span-15871" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15872" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15873" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-15874"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15875" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15876"><span class="mrow" id="MathJax-Span-15877"><span class="mn" id="MathJax-Span-15878" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15879" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15880" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15881" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-15882"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15883" style="font-family: MathJax_Math; font-style: italic;">s</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-15884"><span class="mrow" id="MathJax-Span-15885"><span class="mn" id="MathJax-Span-15886" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15887" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15888" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-15889" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15890"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15891" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15892"><span class="mrow" id="MathJax-Span-15893"><span class="mn" id="MathJax-Span-15894" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15895"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15896" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15897"><span class="mrow" id="MathJax-Span-15898"><span class="mn" id="MathJax-Span-15899" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15900" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15901" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="mi" id="MathJax-Span-15902" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15903"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15904" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15905"><span class="mrow" id="MathJax-Span-15906"><span class="mn" id="MathJax-Span-15907" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15908"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15909" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15910"><span class="mrow" id="MathJax-Span-15911"><span class="mn" id="MathJax-Span-15912" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15913" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15914" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="mi" id="MathJax-Span-15915" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15916"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15917" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15918"><span class="mrow" id="MathJax-Span-15919"><span class="mn" id="MathJax-Span-15920" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15921" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15922" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15923" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="mi" id="MathJax-Span-15924" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15925"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15926" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15927"><span class="mrow" id="MathJax-Span-15928"><span class="mn" id="MathJax-Span-15929" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15930" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15931" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-15932" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15933"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15934" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15935"><span class="mrow" id="MathJax-Span-15936"><span class="mn" id="MathJax-Span-15937" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15938"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15939" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15940"><span class="mrow" id="MathJax-Span-15941"><span class="mn" id="MathJax-Span-15942" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.74em, 4.218em, -999.997em); top: 5.916em; left: 50%; margin-left: -27.866em;"><span class="mo" id="MathJax-Span-15943" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-15944" style="font-family: MathJax_Main; padding-left: 0.237em;">218</span><span class="mi" id="MathJax-Span-15945" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15946"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15947" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15948"><span class="mrow" id="MathJax-Span-15949"><span class="mn" id="MathJax-Span-15950" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15951"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15952" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15953"><span class="mrow" id="MathJax-Span-15954"><span class="mn" id="MathJax-Span-15955" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15956" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15957" style="font-family: MathJax_Main; padding-left: 0.237em;">238</span><span class="mi" id="MathJax-Span-15958" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15959"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15960" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15961"><span class="mrow" id="MathJax-Span-15962"><span class="mn" id="MathJax-Span-15963" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-15964" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-15965" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15966" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="mi" id="MathJax-Span-15967" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15968"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15969" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15970"><span class="mrow" id="MathJax-Span-15971"><span class="mn" id="MathJax-Span-15972" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15973" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15974" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="mi" id="MathJax-Span-15975" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15976"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15977" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15978"><span class="mrow" id="MathJax-Span-15979"><span class="mn" id="MathJax-Span-15980" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15981"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15982" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15983"><span class="mrow" id="MathJax-Span-15984"><span class="mn" id="MathJax-Span-15985" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15986" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-15987" style="font-family: MathJax_Main; padding-left: 0.237em;">171</span><span class="mi" id="MathJax-Span-15988" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-15989"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15990" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-15991"><span class="mrow" id="MathJax-Span-15992"><span class="mn" id="MathJax-Span-15993" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-15994"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-15995" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-15996"><span class="mrow" id="MathJax-Span-15997"><span class="mn" id="MathJax-Span-15998" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-15999" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16000" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="mi" id="MathJax-Span-16001" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-16002"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16003" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16004"><span class="mrow" id="MathJax-Span-16005"><span class="mn" id="MathJax-Span-16006" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16007" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-16008" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16009" style="font-family: MathJax_Main; padding-left: 0.237em;">85</span><span class="mi" id="MathJax-Span-16010" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-16011"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16012" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16013"><span class="mrow" id="MathJax-Span-16014"><span class="mn" id="MathJax-Span-16015" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16016" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16017" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="mi" id="MathJax-Span-16018" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-16019" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-16020"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16021" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16022"><span class="mrow" id="MathJax-Span-16023"><span class="mn" id="MathJax-Span-16024" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16025" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16026" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-16027" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-16028" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-16029"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16030" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16031"><span class="mrow" id="MathJax-Span-16032"><span class="mn" id="MathJax-Span-16033" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16034" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16035" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-16036" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="mi" id="MathJax-Span-16037" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="mo" id="MathJax-Span-16038" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16039" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="mi" id="MathJax-Span-16040" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-16041"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16042" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16043"><span class="mrow" id="MathJax-Span-16044"><span class="mn" id="MathJax-Span-16045" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16046" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16047" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="mi" id="MathJax-Span-16048" style="font-family: MathJax_Math; font-style: italic;">s</span><span class="msubsup" id="MathJax-Span-16049"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16050" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16051"><span class="mrow" id="MathJax-Span-16052"><span class="mn" id="MathJax-Span-16053" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16054" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16055" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-16056"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16057" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16058"><span class="mrow" id="MathJax-Span-16059"><span class="mn" id="MathJax-Span-16060" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16061"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16062" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16063"><span class="mrow" id="MathJax-Span-16064"><span class="mn" id="MathJax-Span-16065" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16066" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16067" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16068"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16069" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16070"><span class="mrow" id="MathJax-Span-16071"><span class="mn" id="MathJax-Span-16072" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16073"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16074" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16075"><span class="mrow" id="MathJax-Span-16076"><span class="mn" id="MathJax-Span-16077" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1044.5em, 4.218em, -999.997em); top: 7.321em; left: 50%; margin-left: -22.245em;"><span class="mo" id="MathJax-Span-16078" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16079" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16080"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16081" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16082"><span class="mrow" id="MathJax-Span-16083"><span class="mn" id="MathJax-Span-16084" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16085" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-16086" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16087" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-16088"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16089" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16090"><span class="mrow" id="MathJax-Span-16091"><span class="mn" id="MathJax-Span-16092" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16093" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16094" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-16095"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16096" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16097"><span class="mrow" id="MathJax-Span-16098"><span class="mn" id="MathJax-Span-16099" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16100"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16101" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16102"><span class="mrow" id="MathJax-Span-16103"><span class="mn" id="MathJax-Span-16104" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16105" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16106" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-16107"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16108" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16109"><span class="mrow" id="MathJax-Span-16110"><span class="mn" id="MathJax-Span-16111" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16112"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16113" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16114"><span class="mrow" id="MathJax-Span-16115"><span class="mn" id="MathJax-Span-16116" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16117" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16118" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-16119"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16120" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16121"><span class="mrow" id="MathJax-Span-16122"><span class="mn" id="MathJax-Span-16123" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16124" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-16125" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16126" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-16127"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16128" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16129"><span class="mrow" id="MathJax-Span-16130"><span class="mn" id="MathJax-Span-16131" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16132" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16133" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-16134"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16135" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16136"><span class="mrow" id="MathJax-Span-16137"><span class="mn" id="MathJax-Span-16138" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16139"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16140" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16141"><span class="mrow" id="MathJax-Span-16142"><span class="mn" id="MathJax-Span-16143" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16144" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16145" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-16146"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16147" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16148"><span class="mrow" id="MathJax-Span-16149"><span class="mn" id="MathJax-Span-16150" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16151"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16152" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16153"><span class="mrow" id="MathJax-Span-16154"><span class="mn" id="MathJax-Span-16155" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16156" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16157" style="font-family: MathJax_Main; padding-left: 0.237em;">45</span><span class="msubsup" id="MathJax-Span-16158"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16159" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16160"><span class="mrow" id="MathJax-Span-16161"><span class="mn" id="MathJax-Span-16162" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16163" style="font-family: MathJax_Math; font-style: italic;">u</span><span class="mo" id="MathJax-Span-16164" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16165" style="font-family: MathJax_Main; padding-left: 0.237em;">17</span><span class="msubsup" id="MathJax-Span-16166"><span style="display: inline-block; position: relative; width: 0.764em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.35em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16167" style="font-family: MathJax_Math; font-style: italic;">t</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.354em;"><span class="texatom" id="MathJax-Span-16168"><span class="mrow" id="MathJax-Span-16169"><span class="mn" id="MathJax-Span-16170" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16171" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16172" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-16173" style="font-family: MathJax_Math; font-style: italic;">t</span><span class="msubsup" id="MathJax-Span-16174"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16175" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16176"><span class="mrow" id="MathJax-Span-16177"><span class="mn" id="MathJax-Span-16178" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16179" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16180" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-16181"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16182" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16183"><span class="mrow" id="MathJax-Span-16184"><span class="mn" id="MathJax-Span-16185" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16186" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16187" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16188"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16189" style="font-family: MathJax_Math; font-style: italic;">u</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16190"><span class="mrow" id="MathJax-Span-16191"><span class="mn" id="MathJax-Span-16192" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 13.293em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -13.925em; border-left: 0px solid; width: 0px; height: 15.075em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>s</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>18</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>36</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>45</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mn>17</mn><msup><mi>t</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>t</mi><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>10</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>u</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-215"> 0 \le 4 s^{5} t^{4} u^{3}+12 s^{5} t^{4} u^{2}+12 s^{5} t^{4} u+4 s^{5} t^{4}+10 s^{5} t^{3} u^{3}+34 s^{5} t^{3} u^{2}+38 s^{5} t^{3} u+14 s^{5} t^{3}+6 s^{5} t^{2} u^{3}+27 s^{5} t^{2} u^{2}+36 s^{5} t^{2} u+15 s^{5} t^{2}+8 s^{5} t u^{3}+18 s^{5} t u^{2}+16 s^{5} t u+6 s^{5} t+8 s^{5} u^{3}+24 s^{5} u^{2}+22 s^{5} u+10 s^{5}+20 s^{4} t^{4} u^{3}+60 s^{4} t^{4} u^{2}+60 s^{4} t^{4} u+20 s^{4} t^{4}+54 s^{4} t^{3} u^{3}+182 s^{4} t^{3} u^{2}+202 s^{4} t^{3} u+74 s^{4} t^{3}+33 s^{4} t^{2} u^{3}+144 s^{4} t^{2} u^{2}+189 s^{4} t^{2} u+78 s^{4} t^{2}+34 s^{4} t u^{3}+72 s^{4} t u^{2}+62 s^{4} t u+24 s^{4} t+44 s^{4} u^{3}+114 s^{4} u^{2}+90 s^{4} u+40 s^{4}+40 s^{3} t^{4} u^{3}+120 s^{3} t^{4} u^{2}+120 s^{3} t^{4} u+40 s^{3} t^{4}+116 s^{3} t^{3} u^{3}+388 s^{3} t^{3} u^{2}+428 s^{3} t^{3} u+156 s^{3} t^{3}+72 s^{3} t^{2} u^{3}+306 s^{3} t^{2} u^{2}+396 s^{3} t^{2} u+162 s^{3} t^{2}+56 s^{3} t u^{3}+108 s^{3} t u^{2}+88 s^{3} t u+36 s^{3} t+96 s^{3} u^{3}+216 s^{3} u^{2}+140 s^{3} u+60 s^{3}+40 s^{2} t^{4} u^{3}+120 s^{2} t^{4} u^{2}+120 s^{2} t^{4} u+40 s^{2} t^{4}+124 s^{2} t^{3} u^{3}+412 s^{2} t^{3} u^{2}+452 s^{2} t^{3} u+164 s^{2} t^{3}+78 s^{2} t^{2} u^{3}+324 s^{2} t^{2} u^{2}+414 s^{2} t^{2} u+168 s^{2} t^{2}+40 s^{2} t u^{3}+60 s^{2} t u^{2}+40 s^{2} t u+20 s^{2} t+100 s^{2} u^{3}+189 s^{2} u^{2}+84 s^{2} u+34 s^{2}+20 s t^{4} u^{3}+60 s t^{4} u^{2}+60 s t^{4} u+20 s t^{4}+66 s t^{3} u^{3}+218 s t^{3} u^{2}+238 s t^{3} u+86 s t^{3}+42 s t^{2} u^{3}+171 s t^{2} u^{2}+216 s t^{2} u+85 s t^{2}+12 s t u^{3}+6 s t u^{2}+2 s t+46 s u^{3}+66 s u^{2}+4 t^{4} u^{3}+12 t^{4} u^{2}+12 t^{4} u+4 t^{4}+14 t^{3} u^{3}+46 t^{3} u^{2}+50 t^{3} u+18 t^{3}+9 t^{2} u^{3}+36 t^{2} u^{2}+45 t^{2} u+17 t^{2}+2 t u^{3}+10 u^{3}+12 u^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-216-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mo>+</mo><mi>v</mi><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>w</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>x</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-16193" style="width: 21.607em; display: inline-block;"><span style="display: inline-block; position: relative; width: 17.684em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1017.57em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-16194"><span class="mi" id="MathJax-Span-16195" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-16196" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-16197" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="mo" id="MathJax-Span-16198" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-16199" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">v</span><span class="mo" id="MathJax-Span-16200" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-16201" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-16202" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-16203" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-16204"><span class="mrow" id="MathJax-Span-16205"><span class="mo" id="MathJax-Span-16206" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-16207" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-16208" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-16209" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-16210" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">w</span><span class="mo" id="MathJax-Span-16211" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-16212" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-16213" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-16214" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-16215" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-16216"><span class="mrow" id="MathJax-Span-16217"><span class="mo" id="MathJax-Span-16218" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-16219" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-16220" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-16221" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-16222" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">x</span><span class="mo" id="MathJax-Span-16223" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mo>+</mo><mi>v</mi><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>w</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>x</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-216">a\to 1+v,b\to 1/(1+w),c\to 1/(1+x)</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-217-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>4</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>48</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>48</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>72</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>24</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>48</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>48</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>w</mi><mi>x</mi><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>4</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>4</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>50</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>18</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>60</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>196</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>212</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>76</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>96</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>312</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>336</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>120</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>68</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>220</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>236</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>w</mi><mi>x</mi><mo>+</mo><mn>84</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>18</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>58</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>62</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>22</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>62</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>76</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>30</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>76</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>284</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>340</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>132</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>132</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>480</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>564</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>216</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>100</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>120</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>51</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>x</mi><mo>+</mo><mn>18</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>38</mn><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>56</mn><mi>w</mi><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>w</mi><mi>x</mi><mo>+</mo><mn>10</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>14</mn><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-16224" style="width: 68.621em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.209em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(13.118em, 1056.21em, 26.525em, -999.997em); top: -14.107em; left: 0em;"><span class="mrow" id="MathJax-Span-16225"><span style="display: inline-block; position: relative; width: 56.209em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1052.81em, 4.218em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-16226" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-16227"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16228" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16229"><span class="mrow" id="MathJax-Span-16230"><span class="mn" id="MathJax-Span-16231" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16232"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16233" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16234"><span class="mrow" id="MathJax-Span-16235"><span class="mn" id="MathJax-Span-16236" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16237"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16238" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16239"><span class="mrow" id="MathJax-Span-16240"><span class="mn" id="MathJax-Span-16241" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16242" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16243" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16244"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16245" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16246"><span class="mrow" id="MathJax-Span-16247"><span class="mn" id="MathJax-Span-16248" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16249"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16250" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16251"><span class="mrow" id="MathJax-Span-16252"><span class="mn" id="MathJax-Span-16253" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16254"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16255" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16256"><span class="mrow" id="MathJax-Span-16257"><span class="mn" id="MathJax-Span-16258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16259" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16260" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16261"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16262" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16263"><span class="mrow" id="MathJax-Span-16264"><span class="mn" id="MathJax-Span-16265" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16266"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16267" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16268"><span class="mrow" id="MathJax-Span-16269"><span class="mn" id="MathJax-Span-16270" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16271" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16272" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16273" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-16274"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16275" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16276"><span class="mrow" id="MathJax-Span-16277"><span class="mn" id="MathJax-Span-16278" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16279"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16280" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16281"><span class="mrow" id="MathJax-Span-16282"><span class="mn" id="MathJax-Span-16283" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16284" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16285" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-16286"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16287" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16288"><span class="mrow" id="MathJax-Span-16289"><span class="mn" id="MathJax-Span-16290" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16291"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16292" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16293"><span class="mrow" id="MathJax-Span-16294"><span class="mn" id="MathJax-Span-16295" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16296"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16297" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16298"><span class="mrow" id="MathJax-Span-16299"><span class="mn" id="MathJax-Span-16300" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16301" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16302" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-16303"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16304" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16305"><span class="mrow" id="MathJax-Span-16306"><span class="mn" id="MathJax-Span-16307" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16308"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16309" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16310"><span class="mrow" id="MathJax-Span-16311"><span class="mn" id="MathJax-Span-16312" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16313"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16314" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16315"><span class="mrow" id="MathJax-Span-16316"><span class="mn" id="MathJax-Span-16317" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16318" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16319" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-16320"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16321" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16322"><span class="mrow" id="MathJax-Span-16323"><span class="mn" id="MathJax-Span-16324" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16325"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16326" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16327"><span class="mrow" id="MathJax-Span-16328"><span class="mn" id="MathJax-Span-16329" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16330" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16331" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16332" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-16333"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16334" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16335"><span class="mrow" id="MathJax-Span-16336"><span class="mn" id="MathJax-Span-16337" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16338"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16339" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16340"><span class="mrow" id="MathJax-Span-16341"><span class="mn" id="MathJax-Span-16342" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16343" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16344" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-16345"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16346" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16347"><span class="mrow" id="MathJax-Span-16348"><span class="mn" id="MathJax-Span-16349" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16350"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16351" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16352"><span class="mrow" id="MathJax-Span-16353"><span class="mn" id="MathJax-Span-16354" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16355"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16356" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16357"><span class="mrow" id="MathJax-Span-16358"><span class="mn" id="MathJax-Span-16359" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16360" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16361" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-16362"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16363" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16364"><span class="mrow" id="MathJax-Span-16365"><span class="mn" id="MathJax-Span-16366" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16367"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16368" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16369"><span class="mrow" id="MathJax-Span-16370"><span class="mn" id="MathJax-Span-16371" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16372"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16373" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16374"><span class="mrow" id="MathJax-Span-16375"><span class="mn" id="MathJax-Span-16376" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16377" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16378" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-16379"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16380" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16381"><span class="mrow" id="MathJax-Span-16382"><span class="mn" id="MathJax-Span-16383" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16384"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16385" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16386"><span class="mrow" id="MathJax-Span-16387"><span class="mn" id="MathJax-Span-16388" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16389" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.21em, 4.218em, -999.997em); top: -2.632em; left: 0em;"><span class="mo" id="MathJax-Span-16390" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16391" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-16392"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16393" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16394"><span class="mrow" id="MathJax-Span-16395"><span class="mn" id="MathJax-Span-16396" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16397"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16398" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16399"><span class="mrow" id="MathJax-Span-16400"><span class="mn" id="MathJax-Span-16401" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16402" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16403" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-16404"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16405" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16406"><span class="mrow" id="MathJax-Span-16407"><span class="mn" id="MathJax-Span-16408" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16409" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16410"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16411" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16412"><span class="mrow" id="MathJax-Span-16413"><span class="mn" id="MathJax-Span-16414" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16415" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16416" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-16417"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16418" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16419"><span class="mrow" id="MathJax-Span-16420"><span class="mn" id="MathJax-Span-16421" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16422" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16423"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16424" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16425"><span class="mrow" id="MathJax-Span-16426"><span class="mn" id="MathJax-Span-16427" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16428" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16429" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-16430"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16431" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16432"><span class="mrow" id="MathJax-Span-16433"><span class="mn" id="MathJax-Span-16434" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16435" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-16436" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16437" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16438" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-16439"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16440" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16441"><span class="mrow" id="MathJax-Span-16442"><span class="mn" id="MathJax-Span-16443" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16444" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-16445" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16446" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-16447"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16448" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16449"><span class="mrow" id="MathJax-Span-16450"><span class="mn" id="MathJax-Span-16451" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16452"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16453" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16454"><span class="mrow" id="MathJax-Span-16455"><span class="mn" id="MathJax-Span-16456" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16457" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16458" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16459"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16460" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16461"><span class="mrow" id="MathJax-Span-16462"><span class="mn" id="MathJax-Span-16463" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16464"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16465" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16466"><span class="mrow" id="MathJax-Span-16467"><span class="mn" id="MathJax-Span-16468" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16469" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16470" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-16471"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16472" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16473"><span class="mrow" id="MathJax-Span-16474"><span class="mn" id="MathJax-Span-16475" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16476" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16477" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16478" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-16479"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16480" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16481"><span class="mrow" id="MathJax-Span-16482"><span class="mn" id="MathJax-Span-16483" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16484" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16485" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-16486"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16487" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16488"><span class="mrow" id="MathJax-Span-16489"><span class="mn" id="MathJax-Span-16490" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16491"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16492" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16493"><span class="mrow" id="MathJax-Span-16494"><span class="mn" id="MathJax-Span-16495" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16496"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16497" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16498"><span class="mrow" id="MathJax-Span-16499"><span class="mn" id="MathJax-Span-16500" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16501" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16502" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-16503"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16504" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16505"><span class="mrow" id="MathJax-Span-16506"><span class="mn" id="MathJax-Span-16507" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16508"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16509" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16510"><span class="mrow" id="MathJax-Span-16511"><span class="mn" id="MathJax-Span-16512" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16513"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16514" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16515"><span class="mrow" id="MathJax-Span-16516"><span class="mn" id="MathJax-Span-16517" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16518" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16519" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-16520"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16521" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16522"><span class="mrow" id="MathJax-Span-16523"><span class="mn" id="MathJax-Span-16524" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16525"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16526" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16527"><span class="mrow" id="MathJax-Span-16528"><span class="mn" id="MathJax-Span-16529" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16530" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16531" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16532" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-16533"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16534" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16535"><span class="mrow" id="MathJax-Span-16536"><span class="mn" id="MathJax-Span-16537" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16538"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16539" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16540"><span class="mrow" id="MathJax-Span-16541"><span class="mn" id="MathJax-Span-16542" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.17em, 4.218em, -999.997em); top: -1.285em; left: 0em;"><span class="mo" id="MathJax-Span-16543" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16544" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-16545"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16546" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16547"><span class="mrow" id="MathJax-Span-16548"><span class="mn" id="MathJax-Span-16549" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16550"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16551" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16552"><span class="mrow" id="MathJax-Span-16553"><span class="mn" id="MathJax-Span-16554" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16555"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16556" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16557"><span class="mrow" id="MathJax-Span-16558"><span class="mn" id="MathJax-Span-16559" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16560" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16561" style="font-family: MathJax_Main; padding-left: 0.237em;">196</span><span class="msubsup" id="MathJax-Span-16562"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16563" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16564"><span class="mrow" id="MathJax-Span-16565"><span class="mn" id="MathJax-Span-16566" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16567"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16568" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16569"><span class="mrow" id="MathJax-Span-16570"><span class="mn" id="MathJax-Span-16571" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16572"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16573" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16574"><span class="mrow" id="MathJax-Span-16575"><span class="mn" id="MathJax-Span-16576" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16577" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16578" style="font-family: MathJax_Main; padding-left: 0.237em;">212</span><span class="msubsup" id="MathJax-Span-16579"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16580" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16581"><span class="mrow" id="MathJax-Span-16582"><span class="mn" id="MathJax-Span-16583" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16584"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16585" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16586"><span class="mrow" id="MathJax-Span-16587"><span class="mn" id="MathJax-Span-16588" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16589" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16590" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16591" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-16592"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16593" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16594"><span class="mrow" id="MathJax-Span-16595"><span class="mn" id="MathJax-Span-16596" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16597"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16598" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16599"><span class="mrow" id="MathJax-Span-16600"><span class="mn" id="MathJax-Span-16601" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16603" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-16604"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16605" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16606"><span class="mrow" id="MathJax-Span-16607"><span class="mn" id="MathJax-Span-16608" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16609"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16610" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16611"><span class="mrow" id="MathJax-Span-16612"><span class="mn" id="MathJax-Span-16613" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16614"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16615" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16616"><span class="mrow" id="MathJax-Span-16617"><span class="mn" id="MathJax-Span-16618" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16619" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16620" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-16621"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16622" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16623"><span class="mrow" id="MathJax-Span-16624"><span class="mn" id="MathJax-Span-16625" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16626"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16627" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16628"><span class="mrow" id="MathJax-Span-16629"><span class="mn" id="MathJax-Span-16630" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16631"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16632" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16633"><span class="mrow" id="MathJax-Span-16634"><span class="mn" id="MathJax-Span-16635" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16636" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16637" style="font-family: MathJax_Main; padding-left: 0.237em;">336</span><span class="msubsup" id="MathJax-Span-16638"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16639" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16640"><span class="mrow" id="MathJax-Span-16641"><span class="mn" id="MathJax-Span-16642" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16643"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16644" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16645"><span class="mrow" id="MathJax-Span-16646"><span class="mn" id="MathJax-Span-16647" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16648" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16649" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16650" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-16651"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16652" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16653"><span class="mrow" id="MathJax-Span-16654"><span class="mn" id="MathJax-Span-16655" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16656"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16657" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16658"><span class="mrow" id="MathJax-Span-16659"><span class="mn" id="MathJax-Span-16660" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16661" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16662" style="font-family: MathJax_Main; padding-left: 0.237em;">68</span><span class="msubsup" id="MathJax-Span-16663"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16664" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16665"><span class="mrow" id="MathJax-Span-16666"><span class="mn" id="MathJax-Span-16667" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16668" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16669"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16670" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16671"><span class="mrow" id="MathJax-Span-16672"><span class="mn" id="MathJax-Span-16673" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16674" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16675" style="font-family: MathJax_Main; padding-left: 0.237em;">220</span><span class="msubsup" id="MathJax-Span-16676"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16677" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16678"><span class="mrow" id="MathJax-Span-16679"><span class="mn" id="MathJax-Span-16680" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16681" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16682"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16683" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16684"><span class="mrow" id="MathJax-Span-16685"><span class="mn" id="MathJax-Span-16686" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.74em, 4.218em, -999.997em); top: 0.061em; left: 0em;"><span class="mo" id="MathJax-Span-16687" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16688" style="font-family: MathJax_Main; padding-left: 0.237em;">236</span><span class="msubsup" id="MathJax-Span-16689"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16690" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16691"><span class="mrow" id="MathJax-Span-16692"><span class="mn" id="MathJax-Span-16693" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16694" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-16695" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16696" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16697" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-16698"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16699" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16700"><span class="mrow" id="MathJax-Span-16701"><span class="mn" id="MathJax-Span-16702" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16703" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-16704" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16705" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-16706"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16707" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16708"><span class="mrow" id="MathJax-Span-16709"><span class="mn" id="MathJax-Span-16710" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16711"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16712" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16713"><span class="mrow" id="MathJax-Span-16714"><span class="mn" id="MathJax-Span-16715" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16716" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16717" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-16718"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16719" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16720"><span class="mrow" id="MathJax-Span-16721"><span class="mn" id="MathJax-Span-16722" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16723"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16724" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16725"><span class="mrow" id="MathJax-Span-16726"><span class="mn" id="MathJax-Span-16727" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16728" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16729" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-16730"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16731" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16732"><span class="mrow" id="MathJax-Span-16733"><span class="mn" id="MathJax-Span-16734" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16735" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16736" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16737" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-16738"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16739" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16740"><span class="mrow" id="MathJax-Span-16741"><span class="mn" id="MathJax-Span-16742" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16743" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16744" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-16745"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16746" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16747"><span class="mrow" id="MathJax-Span-16748"><span class="mn" id="MathJax-Span-16749" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16750"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16751" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16752"><span class="mrow" id="MathJax-Span-16753"><span class="mn" id="MathJax-Span-16754" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16755"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16756" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16757"><span class="mrow" id="MathJax-Span-16758"><span class="mn" id="MathJax-Span-16759" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16760" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16761" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-16762"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16763" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16764"><span class="mrow" id="MathJax-Span-16765"><span class="mn" id="MathJax-Span-16766" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16767"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16768" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16769"><span class="mrow" id="MathJax-Span-16770"><span class="mn" id="MathJax-Span-16771" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16772"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16773" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16774"><span class="mrow" id="MathJax-Span-16775"><span class="mn" id="MathJax-Span-16776" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16777" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16778" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-16779"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16780" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16781"><span class="mrow" id="MathJax-Span-16782"><span class="mn" id="MathJax-Span-16783" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16784"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16785" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16786"><span class="mrow" id="MathJax-Span-16787"><span class="mn" id="MathJax-Span-16788" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16789" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16790" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16791" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-16792"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16793" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16794"><span class="mrow" id="MathJax-Span-16795"><span class="mn" id="MathJax-Span-16796" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16797"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16798" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16799"><span class="mrow" id="MathJax-Span-16800"><span class="mn" id="MathJax-Span-16801" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16802" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16803" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-16804"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16805" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16806"><span class="mrow" id="MathJax-Span-16807"><span class="mn" id="MathJax-Span-16808" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16809"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16810" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16811"><span class="mrow" id="MathJax-Span-16812"><span class="mn" id="MathJax-Span-16813" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16814"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16815" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16816"><span class="mrow" id="MathJax-Span-16817"><span class="mn" id="MathJax-Span-16818" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16819" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16820" style="font-family: MathJax_Main; padding-left: 0.237em;">284</span><span class="msubsup" id="MathJax-Span-16821"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16822" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16823"><span class="mrow" id="MathJax-Span-16824"><span class="mn" id="MathJax-Span-16825" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16826"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16827" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16828"><span class="mrow" id="MathJax-Span-16829"><span class="mn" id="MathJax-Span-16830" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16831"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16832" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16833"><span class="mrow" id="MathJax-Span-16834"><span class="mn" id="MathJax-Span-16835" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.03em, 4.218em, -999.997em); top: 1.408em; left: 0em;"><span class="mo" id="MathJax-Span-16836" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16837" style="font-family: MathJax_Main; padding-left: 0.237em;">340</span><span class="msubsup" id="MathJax-Span-16838"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16839" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16840"><span class="mrow" id="MathJax-Span-16841"><span class="mn" id="MathJax-Span-16842" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16843"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16844" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16845"><span class="mrow" id="MathJax-Span-16846"><span class="mn" id="MathJax-Span-16847" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16848" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16849" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16850" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-16851"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16852" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16853"><span class="mrow" id="MathJax-Span-16854"><span class="mn" id="MathJax-Span-16855" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16856"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16857" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16858"><span class="mrow" id="MathJax-Span-16859"><span class="mn" id="MathJax-Span-16860" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16861" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16862" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-16863"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16864" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16865"><span class="mrow" id="MathJax-Span-16866"><span class="mn" id="MathJax-Span-16867" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16868"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16869" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16870"><span class="mrow" id="MathJax-Span-16871"><span class="mn" id="MathJax-Span-16872" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16873"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16874" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16875"><span class="mrow" id="MathJax-Span-16876"><span class="mn" id="MathJax-Span-16877" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16878" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16879" style="font-family: MathJax_Main; padding-left: 0.237em;">480</span><span class="msubsup" id="MathJax-Span-16880"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16881" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16882"><span class="mrow" id="MathJax-Span-16883"><span class="mn" id="MathJax-Span-16884" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16885"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16886" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16887"><span class="mrow" id="MathJax-Span-16888"><span class="mn" id="MathJax-Span-16889" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16890"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16891" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16892"><span class="mrow" id="MathJax-Span-16893"><span class="mn" id="MathJax-Span-16894" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16895" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16896" style="font-family: MathJax_Main; padding-left: 0.237em;">564</span><span class="msubsup" id="MathJax-Span-16897"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16898" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16899"><span class="mrow" id="MathJax-Span-16900"><span class="mn" id="MathJax-Span-16901" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16902"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16903" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16904"><span class="mrow" id="MathJax-Span-16905"><span class="mn" id="MathJax-Span-16906" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16907" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16908" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16909" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-16910"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16911" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16912"><span class="mrow" id="MathJax-Span-16913"><span class="mn" id="MathJax-Span-16914" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16915"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16916" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-16917"><span class="mrow" id="MathJax-Span-16918"><span class="mn" id="MathJax-Span-16919" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16920" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16921" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-16922"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16923" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16924"><span class="mrow" id="MathJax-Span-16925"><span class="mn" id="MathJax-Span-16926" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16927" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16928"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16929" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16930"><span class="mrow" id="MathJax-Span-16931"><span class="mn" id="MathJax-Span-16932" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16933" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16934" style="font-family: MathJax_Main; padding-left: 0.237em;">356</span><span class="msubsup" id="MathJax-Span-16935"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16936" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16937"><span class="mrow" id="MathJax-Span-16938"><span class="mn" id="MathJax-Span-16939" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16940" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-16941"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16942" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16943"><span class="mrow" id="MathJax-Span-16944"><span class="mn" id="MathJax-Span-16945" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16946" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16947" style="font-family: MathJax_Main; padding-left: 0.237em;">412</span><span class="msubsup" id="MathJax-Span-16948"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16949" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16950"><span class="mrow" id="MathJax-Span-16951"><span class="mn" id="MathJax-Span-16952" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16953" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-16954" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16955" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16956" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-16957"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16958" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16959"><span class="mrow" id="MathJax-Span-16960"><span class="mn" id="MathJax-Span-16961" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16962" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-16963" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16964" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-16965"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16966" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16967"><span class="mrow" id="MathJax-Span-16968"><span class="mn" id="MathJax-Span-16969" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16970"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16971" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16972"><span class="mrow" id="MathJax-Span-16973"><span class="mn" id="MathJax-Span-16974" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1051.93em, 4.218em, -999.997em); top: 2.813em; left: 0em;"><span class="mo" id="MathJax-Span-16975" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-16976" style="font-family: MathJax_Main; padding-left: 0.237em;">98</span><span class="msubsup" id="MathJax-Span-16977"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16978" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16979"><span class="mrow" id="MathJax-Span-16980"><span class="mn" id="MathJax-Span-16981" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-16982"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16983" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-16984"><span class="mrow" id="MathJax-Span-16985"><span class="mn" id="MathJax-Span-16986" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-16987" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16988" style="font-family: MathJax_Main; padding-left: 0.237em;">112</span><span class="msubsup" id="MathJax-Span-16989"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16990" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16991"><span class="mrow" id="MathJax-Span-16992"><span class="mn" id="MathJax-Span-16993" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-16994" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-16995" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-16996" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-16997"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16998" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-16999"><span class="mrow" id="MathJax-Span-17000"><span class="mn" id="MathJax-Span-17001" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17002" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17003" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-17004"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17005" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17006"><span class="mrow" id="MathJax-Span-17007"><span class="mn" id="MathJax-Span-17008" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17009"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17010" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17011"><span class="mrow" id="MathJax-Span-17012"><span class="mn" id="MathJax-Span-17013" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17014"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17015" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17016"><span class="mrow" id="MathJax-Span-17017"><span class="mn" id="MathJax-Span-17018" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17019" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17020" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-17021"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17022" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17023"><span class="mrow" id="MathJax-Span-17024"><span class="mn" id="MathJax-Span-17025" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17026"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17027" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17028"><span class="mrow" id="MathJax-Span-17029"><span class="mn" id="MathJax-Span-17030" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17031"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17032" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17033"><span class="mrow" id="MathJax-Span-17034"><span class="mn" id="MathJax-Span-17035" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17036" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17037" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-17038"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17039" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17040"><span class="mrow" id="MathJax-Span-17041"><span class="mn" id="MathJax-Span-17042" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17043"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17044" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17045"><span class="mrow" id="MathJax-Span-17046"><span class="mn" id="MathJax-Span-17047" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17048" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17049" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17050" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-17051"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17052" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17053"><span class="mrow" id="MathJax-Span-17054"><span class="mn" id="MathJax-Span-17055" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17056"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17057" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17058"><span class="mrow" id="MathJax-Span-17059"><span class="mn" id="MathJax-Span-17060" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17061" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17062" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-17063"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17064" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17065"><span class="mrow" id="MathJax-Span-17066"><span class="mn" id="MathJax-Span-17067" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17068"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17069" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17070"><span class="mrow" id="MathJax-Span-17071"><span class="mn" id="MathJax-Span-17072" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17073"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17074" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17075"><span class="mrow" id="MathJax-Span-17076"><span class="mn" id="MathJax-Span-17077" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17078" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17079" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-17080"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17081" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17082"><span class="mrow" id="MathJax-Span-17083"><span class="mn" id="MathJax-Span-17084" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17085"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17086" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17087"><span class="mrow" id="MathJax-Span-17088"><span class="mn" id="MathJax-Span-17089" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17090"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17091" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17092"><span class="mrow" id="MathJax-Span-17093"><span class="mn" id="MathJax-Span-17094" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17095" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17096" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-17097"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17098" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17099"><span class="mrow" id="MathJax-Span-17100"><span class="mn" id="MathJax-Span-17101" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17102"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17103" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17104"><span class="mrow" id="MathJax-Span-17105"><span class="mn" id="MathJax-Span-17106" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17107" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17108" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17109" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-17110"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17111" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17112"><span class="mrow" id="MathJax-Span-17113"><span class="mn" id="MathJax-Span-17114" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17115"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17116" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17117"><span class="mrow" id="MathJax-Span-17118"><span class="mn" id="MathJax-Span-17119" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.92em, 4.218em, -999.997em); top: 4.16em; left: 0em;"><span class="mo" id="MathJax-Span-17120" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17121" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-17122"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17123" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17124"><span class="mrow" id="MathJax-Span-17125"><span class="mn" id="MathJax-Span-17126" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17127"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17128" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17129"><span class="mrow" id="MathJax-Span-17130"><span class="mn" id="MathJax-Span-17131" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17132"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17133" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17134"><span class="mrow" id="MathJax-Span-17135"><span class="mn" id="MathJax-Span-17136" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17138" style="font-family: MathJax_Main; padding-left: 0.237em;">288</span><span class="msubsup" id="MathJax-Span-17139"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17140" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17141"><span class="mrow" id="MathJax-Span-17142"><span class="mn" id="MathJax-Span-17143" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17144"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17145" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17146"><span class="mrow" id="MathJax-Span-17147"><span class="mn" id="MathJax-Span-17148" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17149"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17150" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17151"><span class="mrow" id="MathJax-Span-17152"><span class="mn" id="MathJax-Span-17153" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17154" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17155" style="font-family: MathJax_Main; padding-left: 0.237em;">396</span><span class="msubsup" id="MathJax-Span-17156"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17157" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17158"><span class="mrow" id="MathJax-Span-17159"><span class="mn" id="MathJax-Span-17160" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17161"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17162" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17163"><span class="mrow" id="MathJax-Span-17164"><span class="mn" id="MathJax-Span-17165" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17166" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17167" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17168" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-17169"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17170" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17171"><span class="mrow" id="MathJax-Span-17172"><span class="mn" id="MathJax-Span-17173" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17174"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17175" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17176"><span class="mrow" id="MathJax-Span-17177"><span class="mn" id="MathJax-Span-17178" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17179" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17180" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="msubsup" id="MathJax-Span-17181"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17182" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17183"><span class="mrow" id="MathJax-Span-17184"><span class="mn" id="MathJax-Span-17185" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17186" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17187"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17188" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17189"><span class="mrow" id="MathJax-Span-17190"><span class="mn" id="MathJax-Span-17191" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17192" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17193" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-17194"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17195" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17196"><span class="mrow" id="MathJax-Span-17197"><span class="mn" id="MathJax-Span-17198" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17199" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17200"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17201" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17202"><span class="mrow" id="MathJax-Span-17203"><span class="mn" id="MathJax-Span-17204" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17205" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17206" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-17207"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17208" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17209"><span class="mrow" id="MathJax-Span-17210"><span class="mn" id="MathJax-Span-17211" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17212" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-17213" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17214" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17215" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-17216"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17217" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17218"><span class="mrow" id="MathJax-Span-17219"><span class="mn" id="MathJax-Span-17220" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17221" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-17222" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17223" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17224"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17225" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17226"><span class="mrow" id="MathJax-Span-17227"><span class="mn" id="MathJax-Span-17228" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17229"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17230" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17231"><span class="mrow" id="MathJax-Span-17232"><span class="mn" id="MathJax-Span-17233" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17234" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17235" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-17236"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17237" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17238"><span class="mrow" id="MathJax-Span-17239"><span class="mn" id="MathJax-Span-17240" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17241"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17242" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17243"><span class="mrow" id="MathJax-Span-17244"><span class="mn" id="MathJax-Span-17245" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17246" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17247" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-17248"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17249" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17250"><span class="mrow" id="MathJax-Span-17251"><span class="mn" id="MathJax-Span-17252" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17253" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17254" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17255" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-17256"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17257" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17258"><span class="mrow" id="MathJax-Span-17259"><span class="mn" id="MathJax-Span-17260" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.04em, 4.218em, -999.997em); top: 5.506em; left: 0em;"><span class="mo" id="MathJax-Span-17261" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17262" style="font-family: MathJax_Main; padding-left: 0.237em;">5</span><span class="mi" id="MathJax-Span-17263" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17264"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17265" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17266"><span class="mrow" id="MathJax-Span-17267"><span class="mn" id="MathJax-Span-17268" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17269"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17270" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17271"><span class="mrow" id="MathJax-Span-17272"><span class="mn" id="MathJax-Span-17273" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17274" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17275" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="mi" id="MathJax-Span-17276" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17277"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17278" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17279"><span class="mrow" id="MathJax-Span-17280"><span class="mn" id="MathJax-Span-17281" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17282"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17283" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17284"><span class="mrow" id="MathJax-Span-17285"><span class="mn" id="MathJax-Span-17286" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17287" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17288" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-17289" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17290"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17291" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17292"><span class="mrow" id="MathJax-Span-17293"><span class="mn" id="MathJax-Span-17294" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17295" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17296" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-17297" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">v</span><span class="msubsup" id="MathJax-Span-17298"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17299" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17300"><span class="mrow" id="MathJax-Span-17301"><span class="mn" id="MathJax-Span-17302" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17303" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17304" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-17305" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17306"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17307" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17308"><span class="mrow" id="MathJax-Span-17309"><span class="mn" id="MathJax-Span-17310" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17311"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17312" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17313"><span class="mrow" id="MathJax-Span-17314"><span class="mn" id="MathJax-Span-17315" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17316" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17317" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="mi" id="MathJax-Span-17318" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17319"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17320" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17321"><span class="mrow" id="MathJax-Span-17322"><span class="mn" id="MathJax-Span-17323" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17324"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17325" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17326"><span class="mrow" id="MathJax-Span-17327"><span class="mn" id="MathJax-Span-17328" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17329" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17330" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-17331" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17332"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17333" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17334"><span class="mrow" id="MathJax-Span-17335"><span class="mn" id="MathJax-Span-17336" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17337" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17338" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17339" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-17340" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17341"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17342" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17343"><span class="mrow" id="MathJax-Span-17344"><span class="mn" id="MathJax-Span-17345" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17346" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17347" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="mi" id="MathJax-Span-17348" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17349"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17350" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17351"><span class="mrow" id="MathJax-Span-17352"><span class="mn" id="MathJax-Span-17353" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17354"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17355" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17356"><span class="mrow" id="MathJax-Span-17357"><span class="mn" id="MathJax-Span-17358" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17359" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17360" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="mi" id="MathJax-Span-17361" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17362"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17363" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17364"><span class="mrow" id="MathJax-Span-17365"><span class="mn" id="MathJax-Span-17366" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17367"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17368" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17369"><span class="mrow" id="MathJax-Span-17370"><span class="mn" id="MathJax-Span-17371" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17372" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17373" style="font-family: MathJax_Main; padding-left: 0.237em;">27</span><span class="mi" id="MathJax-Span-17374" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17375"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17376" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17377"><span class="mrow" id="MathJax-Span-17378"><span class="mn" id="MathJax-Span-17379" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17380" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17381" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17382" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-17383" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17384"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17385" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17386"><span class="mrow" id="MathJax-Span-17387"><span class="mn" id="MathJax-Span-17388" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17389" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17390" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="mi" id="MathJax-Span-17391" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-17392" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17393"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17394" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17395"><span class="mrow" id="MathJax-Span-17396"><span class="mn" id="MathJax-Span-17397" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.4em, 4.218em, -999.997em); top: 6.853em; left: 0em;"><span class="mo" id="MathJax-Span-17398" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17399" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="mi" id="MathJax-Span-17400" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-17401" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17402"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17403" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17404"><span class="mrow" id="MathJax-Span-17405"><span class="mn" id="MathJax-Span-17406" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17407" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17408" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-17409" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-17410" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-17411" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17412" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17413" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-17414" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-17415" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-17416" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17417" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-17418" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17419"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17420" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17421"><span class="mrow" id="MathJax-Span-17422"><span class="mn" id="MathJax-Span-17423" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17424" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17425" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-17426" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17427"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17428" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17429"><span class="mrow" id="MathJax-Span-17430"><span class="mn" id="MathJax-Span-17431" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17432" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17433" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-17434"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17435" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17436"><span class="mrow" id="MathJax-Span-17437"><span class="mn" id="MathJax-Span-17438" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17439"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17440" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17441"><span class="mrow" id="MathJax-Span-17442"><span class="mn" id="MathJax-Span-17443" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17444" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17445" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17446"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17447" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17448"><span class="mrow" id="MathJax-Span-17449"><span class="mn" id="MathJax-Span-17450" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17451"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17452" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17453"><span class="mrow" id="MathJax-Span-17454"><span class="mn" id="MathJax-Span-17455" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17456" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17457" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-17458"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17459" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17460"><span class="mrow" id="MathJax-Span-17461"><span class="mn" id="MathJax-Span-17462" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17463" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17464" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17465" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-17466"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17467" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17468"><span class="mrow" id="MathJax-Span-17469"><span class="mn" id="MathJax-Span-17470" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17471" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17472" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-17473"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17474" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17475"><span class="mrow" id="MathJax-Span-17476"><span class="mn" id="MathJax-Span-17477" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17478"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17479" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17480"><span class="mrow" id="MathJax-Span-17481"><span class="mn" id="MathJax-Span-17482" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17483" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17484" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="msubsup" id="MathJax-Span-17485"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17486" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17487"><span class="mrow" id="MathJax-Span-17488"><span class="mn" id="MathJax-Span-17489" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17490"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17491" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17492"><span class="mrow" id="MathJax-Span-17493"><span class="mn" id="MathJax-Span-17494" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17495" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17496" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-17497"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17498" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17499"><span class="mrow" id="MathJax-Span-17500"><span class="mn" id="MathJax-Span-17501" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17502" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17503" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17504" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-17505"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17506" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17507"><span class="mrow" id="MathJax-Span-17508"><span class="mn" id="MathJax-Span-17509" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17510" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17511" style="font-family: MathJax_Main; padding-left: 0.237em;">63</span><span class="msubsup" id="MathJax-Span-17512"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17513" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17514"><span class="mrow" id="MathJax-Span-17515"><span class="mn" id="MathJax-Span-17516" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17517"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17518" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17519"><span class="mrow" id="MathJax-Span-17520"><span class="mn" id="MathJax-Span-17521" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1029.51em, 4.218em, -999.997em); top: 8.2em; left: 0em;"><span class="mo" id="MathJax-Span-17522" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17523" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-17524"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17525" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17526"><span class="mrow" id="MathJax-Span-17527"><span class="mn" id="MathJax-Span-17528" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17529"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17530" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17531"><span class="mrow" id="MathJax-Span-17532"><span class="mn" id="MathJax-Span-17533" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17534" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17535" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-17536"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17537" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17538"><span class="mrow" id="MathJax-Span-17539"><span class="mn" id="MathJax-Span-17540" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17541" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17542" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17543" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-17544"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17545" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17546"><span class="mrow" id="MathJax-Span-17547"><span class="mn" id="MathJax-Span-17548" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17549" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17550" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="mi" id="MathJax-Span-17551" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17552"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17553" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17554"><span class="mrow" id="MathJax-Span-17555"><span class="mn" id="MathJax-Span-17556" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17557" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17558" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="mi" id="MathJax-Span-17559" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17560"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17561" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17562"><span class="mrow" id="MathJax-Span-17563"><span class="mn" id="MathJax-Span-17564" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17565" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17566" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-17567" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-17568" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-17569" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17570" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-17571"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17572" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17573"><span class="mrow" id="MathJax-Span-17574"><span class="mn" id="MathJax-Span-17575" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17576" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17577" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-17578"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17579" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17580"><span class="mrow" id="MathJax-Span-17581"><span class="mn" id="MathJax-Span-17582" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 14.113em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -14.996em; border-left: 0px solid; width: 0px; height: 16.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" 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class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>22</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>30</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>132</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>216</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>156</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>42</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>22</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>100</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>168</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>124</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>34</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>v</mi><mi>w</mi><mo>+</mo><mn>4</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-17583" style="width: 100%; display: inline-block; min-width: 69.09em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(13.645em, 1056.62em, 27.638em, -999.997em); top: -14.693em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-17584"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1054.92em, 4.277em, -999.997em); top: -3.978em; left: 50%; margin-left: -27.456em;"><span class="mn" id="MathJax-Span-17585" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-17586" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-17587" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-17588"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17589" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17590"><span class="mrow" id="MathJax-Span-17591"><span class="mn" id="MathJax-Span-17592" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17593"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17594" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17595"><span class="mrow" id="MathJax-Span-17596"><span class="mn" id="MathJax-Span-17597" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17598"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17599" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17600"><span class="mrow" id="MathJax-Span-17601"><span class="mn" id="MathJax-Span-17602" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17603" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17604" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17605"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17606" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17607"><span class="mrow" id="MathJax-Span-17608"><span class="mn" id="MathJax-Span-17609" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17610"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17611" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17612"><span class="mrow" id="MathJax-Span-17613"><span class="mn" id="MathJax-Span-17614" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17615"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17616" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17617"><span class="mrow" id="MathJax-Span-17618"><span class="mn" id="MathJax-Span-17619" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17620" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17621" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-17622"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17623" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17624"><span class="mrow" id="MathJax-Span-17625"><span class="mn" id="MathJax-Span-17626" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17627"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17628" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17629"><span class="mrow" id="MathJax-Span-17630"><span class="mn" id="MathJax-Span-17631" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17632"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17633" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17634"><span class="mrow" id="MathJax-Span-17635"><span class="mn" id="MathJax-Span-17636" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17637" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17638" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17639"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17640" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17641"><span class="mrow" id="MathJax-Span-17642"><span class="mn" id="MathJax-Span-17643" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17644" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17645"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17646" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17647"><span class="mrow" id="MathJax-Span-17648"><span class="mn" id="MathJax-Span-17649" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17650" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17651" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-17652"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17653" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17654"><span class="mrow" id="MathJax-Span-17655"><span class="mn" id="MathJax-Span-17656" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17657"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17658" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17659"><span class="mrow" id="MathJax-Span-17660"><span class="mn" id="MathJax-Span-17661" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17662" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17663" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-17664"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17665" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17666"><span class="mrow" id="MathJax-Span-17667"><span class="mn" id="MathJax-Span-17668" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17669"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17670" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17671"><span class="mrow" id="MathJax-Span-17672"><span class="mn" id="MathJax-Span-17673" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17674"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17675" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17676"><span class="mrow" id="MathJax-Span-17677"><span class="mn" id="MathJax-Span-17678" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17679" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17680" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-17681"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17682" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17683"><span class="mrow" id="MathJax-Span-17684"><span class="mn" id="MathJax-Span-17685" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17686"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17687" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17688"><span class="mrow" id="MathJax-Span-17689"><span class="mn" id="MathJax-Span-17690" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17691"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17692" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17693"><span class="mrow" id="MathJax-Span-17694"><span class="mn" id="MathJax-Span-17695" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17696" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17697" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-17698"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17699" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17700"><span class="mrow" id="MathJax-Span-17701"><span class="mn" id="MathJax-Span-17702" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17703"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17704" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17705"><span class="mrow" id="MathJax-Span-17706"><span class="mn" id="MathJax-Span-17707" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17708"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17709" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17710"><span class="mrow" id="MathJax-Span-17711"><span class="mn" id="MathJax-Span-17712" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17713" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17714" style="font-family: MathJax_Main; padding-left: 0.237em;">68</span><span class="msubsup" id="MathJax-Span-17715"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17716" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17717"><span class="mrow" id="MathJax-Span-17718"><span class="mn" id="MathJax-Span-17719" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17720" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17721"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17722" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17723"><span class="mrow" id="MathJax-Span-17724"><span class="mn" id="MathJax-Span-17725" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17726" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17727" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-17728"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17729" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17730"><span class="mrow" id="MathJax-Span-17731"><span class="mn" id="MathJax-Span-17732" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17733"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17734" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17735"><span class="mrow" id="MathJax-Span-17736"><span class="mn" id="MathJax-Span-17737" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17738" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17739" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17740"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17741" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17742"><span class="mrow" id="MathJax-Span-17743"><span class="mn" id="MathJax-Span-17744" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17745"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17746" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17747"><span class="mrow" id="MathJax-Span-17748"><span class="mn" id="MathJax-Span-17749" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17750"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17751" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17752"><span class="mrow" id="MathJax-Span-17753"><span class="mn" id="MathJax-Span-17754" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.16em, 4.218em, -999.997em); top: -2.515em; left: 50%; margin-left: -27.105em;"><span class="mo" id="MathJax-Span-17755" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17756" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-17757"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17758" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17759"><span class="mrow" id="MathJax-Span-17760"><span class="mn" id="MathJax-Span-17761" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17762"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17763" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17764"><span class="mrow" id="MathJax-Span-17765"><span class="mn" id="MathJax-Span-17766" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17767"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17768" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17769"><span class="mrow" id="MathJax-Span-17770"><span class="mn" id="MathJax-Span-17771" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17772" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17773" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-17774"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17775" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17776"><span class="mrow" id="MathJax-Span-17777"><span class="mn" id="MathJax-Span-17778" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17779"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17780" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17781"><span class="mrow" id="MathJax-Span-17782"><span class="mn" id="MathJax-Span-17783" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17784"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17785" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17786"><span class="mrow" id="MathJax-Span-17787"><span class="mn" id="MathJax-Span-17788" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17789" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17790" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-17791"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17792" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17793"><span class="mrow" id="MathJax-Span-17794"><span class="mn" id="MathJax-Span-17795" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17796" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17797"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17798" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17799"><span class="mrow" id="MathJax-Span-17800"><span class="mn" id="MathJax-Span-17801" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17802" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17803" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-17804"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17805" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17806"><span class="mrow" id="MathJax-Span-17807"><span class="mn" id="MathJax-Span-17808" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17809"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17810" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17811"><span class="mrow" id="MathJax-Span-17812"><span class="mn" id="MathJax-Span-17813" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17814" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17815" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-17816"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17817" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17818"><span class="mrow" id="MathJax-Span-17819"><span class="mn" id="MathJax-Span-17820" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17821"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17822" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17823"><span class="mrow" id="MathJax-Span-17824"><span class="mn" id="MathJax-Span-17825" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17826"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17827" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17828"><span class="mrow" id="MathJax-Span-17829"><span class="mn" id="MathJax-Span-17830" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17831" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17832" style="font-family: MathJax_Main; padding-left: 0.237em;">28</span><span class="msubsup" id="MathJax-Span-17833"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17834" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17835"><span class="mrow" id="MathJax-Span-17836"><span class="mn" id="MathJax-Span-17837" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17838"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17839" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17840"><span class="mrow" id="MathJax-Span-17841"><span class="mn" id="MathJax-Span-17842" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17843"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17844" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17845"><span class="mrow" id="MathJax-Span-17846"><span class="mn" id="MathJax-Span-17847" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17848" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17849" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-17850"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17851" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17852"><span class="mrow" id="MathJax-Span-17853"><span class="mn" id="MathJax-Span-17854" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17855"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17856" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17857"><span class="mrow" id="MathJax-Span-17858"><span class="mn" id="MathJax-Span-17859" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17860"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17861" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17862"><span class="mrow" id="MathJax-Span-17863"><span class="mn" id="MathJax-Span-17864" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17865" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17866" style="font-family: MathJax_Main; padding-left: 0.237em;">52</span><span class="msubsup" id="MathJax-Span-17867"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17868" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17869"><span class="mrow" id="MathJax-Span-17870"><span class="mn" id="MathJax-Span-17871" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-17872" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17873"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17874" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17875"><span class="mrow" id="MathJax-Span-17876"><span class="mn" id="MathJax-Span-17877" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17878" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17879" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-17880"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17881" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-17882"><span class="mrow" id="MathJax-Span-17883"><span class="mn" id="MathJax-Span-17884" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17885"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17886" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17887"><span class="mrow" id="MathJax-Span-17888"><span class="mn" id="MathJax-Span-17889" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17890" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17891" style="font-family: MathJax_Main; padding-left: 0.237em;">5</span><span class="mi" id="MathJax-Span-17892" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17893"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17894" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17895"><span class="mrow" id="MathJax-Span-17896"><span class="mn" id="MathJax-Span-17897" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17898"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17899" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17900"><span class="mrow" id="MathJax-Span-17901"><span class="mn" id="MathJax-Span-17902" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17903" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17904" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-17905" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17906"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17907" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17908"><span class="mrow" id="MathJax-Span-17909"><span class="mn" id="MathJax-Span-17910" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17911"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17912" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17913"><span class="mrow" id="MathJax-Span-17914"><span class="mn" id="MathJax-Span-17915" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.05em, 4.218em, -999.997em); top: -1.109em; left: 50%; margin-left: -26.519em;"><span class="mo" id="MathJax-Span-17916" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-17917" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="mi" id="MathJax-Span-17918" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17919"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17920" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17921"><span class="mrow" id="MathJax-Span-17922"><span class="mn" id="MathJax-Span-17923" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17924"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17925" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17926"><span class="mrow" id="MathJax-Span-17927"><span class="mn" id="MathJax-Span-17928" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17929" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17930" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="mi" id="MathJax-Span-17931" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-17932" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17933"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17934" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17935"><span class="mrow" id="MathJax-Span-17936"><span class="mn" id="MathJax-Span-17937" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17938" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17939" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-17940" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-17941"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17942" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17943"><span class="mrow" id="MathJax-Span-17944"><span class="mn" id="MathJax-Span-17945" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17946" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17947" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-17948"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17949" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17950"><span class="mrow" id="MathJax-Span-17951"><span class="mn" id="MathJax-Span-17952" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17953"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17954" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17955"><span class="mrow" id="MathJax-Span-17956"><span class="mn" id="MathJax-Span-17957" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17958" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17959" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-17960"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17961" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17962"><span class="mrow" id="MathJax-Span-17963"><span class="mn" id="MathJax-Span-17964" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17965"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17966" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17967"><span class="mrow" id="MathJax-Span-17968"><span class="mn" id="MathJax-Span-17969" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17970" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17971" style="font-family: MathJax_Main; padding-left: 0.237em;">63</span><span class="msubsup" id="MathJax-Span-17972"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17973" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-17974"><span class="mrow" id="MathJax-Span-17975"><span class="mn" id="MathJax-Span-17976" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-17977"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17978" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17979"><span class="mrow" id="MathJax-Span-17980"><span class="mn" id="MathJax-Span-17981" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17982" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17983" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="mi" id="MathJax-Span-17984" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-17985"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17986" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17987"><span class="mrow" id="MathJax-Span-17988"><span class="mn" id="MathJax-Span-17989" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17990" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17991" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-17992"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-17993" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-17994"><span class="mrow" id="MathJax-Span-17995"><span class="mn" id="MathJax-Span-17996" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-17997" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-17998" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-17999"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18000" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18001"><span class="mrow" id="MathJax-Span-18002"><span class="mn" id="MathJax-Span-18003" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18004"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18005" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18006"><span class="mrow" id="MathJax-Span-18007"><span class="mn" id="MathJax-Span-18008" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18009"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18010" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18011"><span class="mrow" id="MathJax-Span-18012"><span class="mn" id="MathJax-Span-18013" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18014" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18015" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-18016"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18017" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18018"><span class="mrow" id="MathJax-Span-18019"><span class="mn" id="MathJax-Span-18020" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18021"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18022" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18023"><span class="mrow" id="MathJax-Span-18024"><span class="mn" id="MathJax-Span-18025" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18026"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18027" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18028"><span class="mrow" id="MathJax-Span-18029"><span class="mn" id="MathJax-Span-18030" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18031" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18032" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-18033"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18034" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18035"><span class="mrow" id="MathJax-Span-18036"><span class="mn" id="MathJax-Span-18037" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18038"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18039" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18040"><span class="mrow" id="MathJax-Span-18041"><span class="mn" id="MathJax-Span-18042" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18043"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18044" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18045"><span class="mrow" id="MathJax-Span-18046"><span class="mn" id="MathJax-Span-18047" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18048" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18049" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-18050"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18051" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18052"><span class="mrow" id="MathJax-Span-18053"><span class="mn" id="MathJax-Span-18054" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18055" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18056"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18057" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18058"><span class="mrow" id="MathJax-Span-18059"><span class="mn" id="MathJax-Span-18060" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.76em, 4.218em, -999.997em); top: 0.296em; left: 50%; margin-left: -26.344em;"><span class="mo" id="MathJax-Span-18061" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18062" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-18063"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18064" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18065"><span class="mrow" id="MathJax-Span-18066"><span class="mn" id="MathJax-Span-18067" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18068"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18069" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18070"><span class="mrow" id="MathJax-Span-18071"><span class="mn" id="MathJax-Span-18072" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18073" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18074" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-18075"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18076" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18077"><span class="mrow" id="MathJax-Span-18078"><span class="mn" id="MathJax-Span-18079" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18080"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18081" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18082"><span class="mrow" id="MathJax-Span-18083"><span class="mn" id="MathJax-Span-18084" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18085"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18086" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18087"><span class="mrow" id="MathJax-Span-18088"><span class="mn" id="MathJax-Span-18089" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18090" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18091" style="font-family: MathJax_Main; padding-left: 0.237em;">196</span><span class="msubsup" id="MathJax-Span-18092"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18093" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18094"><span class="mrow" id="MathJax-Span-18095"><span class="mn" id="MathJax-Span-18096" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18097"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18098" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18099"><span class="mrow" id="MathJax-Span-18100"><span class="mn" id="MathJax-Span-18101" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18102"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18103" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18104"><span class="mrow" id="MathJax-Span-18105"><span class="mn" id="MathJax-Span-18106" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18107" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18108" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-18109"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18110" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18111"><span class="mrow" id="MathJax-Span-18112"><span class="mn" id="MathJax-Span-18113" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18114"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18115" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18116"><span class="mrow" id="MathJax-Span-18117"><span class="mn" id="MathJax-Span-18118" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18119"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18120" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18121"><span class="mrow" id="MathJax-Span-18122"><span class="mn" id="MathJax-Span-18123" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18124" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18125" style="font-family: MathJax_Main; padding-left: 0.237em;">220</span><span class="msubsup" id="MathJax-Span-18126"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18127" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18128"><span class="mrow" id="MathJax-Span-18129"><span class="mn" id="MathJax-Span-18130" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18131" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18132"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18133" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18134"><span class="mrow" id="MathJax-Span-18135"><span class="mn" id="MathJax-Span-18136" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18138" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-18139"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18140" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18141"><span class="mrow" id="MathJax-Span-18142"><span class="mn" id="MathJax-Span-18143" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18144"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18145" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18146"><span class="mrow" id="MathJax-Span-18147"><span class="mn" id="MathJax-Span-18148" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18149" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18150" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-18151"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18152" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18153"><span class="mrow" id="MathJax-Span-18154"><span class="mn" id="MathJax-Span-18155" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18156"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18157" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18158"><span class="mrow" id="MathJax-Span-18159"><span class="mn" id="MathJax-Span-18160" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18161"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18162" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18163"><span class="mrow" id="MathJax-Span-18164"><span class="mn" id="MathJax-Span-18165" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18166" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18167" style="font-family: MathJax_Main; padding-left: 0.237em;">284</span><span class="msubsup" id="MathJax-Span-18168"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18169" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18170"><span class="mrow" id="MathJax-Span-18171"><span class="mn" id="MathJax-Span-18172" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18173"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18174" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18175"><span class="mrow" id="MathJax-Span-18176"><span class="mn" id="MathJax-Span-18177" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18178"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18179" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18180"><span class="mrow" id="MathJax-Span-18181"><span class="mn" id="MathJax-Span-18182" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18183" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18184" style="font-family: MathJax_Main; padding-left: 0.237em;">480</span><span class="msubsup" id="MathJax-Span-18185"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18186" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18187"><span class="mrow" id="MathJax-Span-18188"><span class="mn" id="MathJax-Span-18189" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18190"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18191" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18192"><span class="mrow" id="MathJax-Span-18193"><span class="mn" id="MathJax-Span-18194" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18195"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18196" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18197"><span class="mrow" id="MathJax-Span-18198"><span class="mn" id="MathJax-Span-18199" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18200" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18201" style="font-family: MathJax_Main; padding-left: 0.237em;">356</span><span class="msubsup" id="MathJax-Span-18202"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18203" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18204"><span class="mrow" id="MathJax-Span-18205"><span class="mn" id="MathJax-Span-18206" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18207" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18208"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18209" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18210"><span class="mrow" id="MathJax-Span-18211"><span class="mn" id="MathJax-Span-18212" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.62em, 4.218em, -999.997em); top: 1.701em; left: 50%; margin-left: -28.334em;"><span class="mo" id="MathJax-Span-18213" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18214" style="font-family: MathJax_Main; padding-left: 0.237em;">98</span><span class="msubsup" id="MathJax-Span-18215"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18216" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18217"><span class="mrow" id="MathJax-Span-18218"><span class="mn" id="MathJax-Span-18219" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18220"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18221" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18222"><span class="mrow" id="MathJax-Span-18223"><span class="mn" id="MathJax-Span-18224" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18225" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18226" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-18227"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18228" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18229"><span class="mrow" id="MathJax-Span-18230"><span class="mn" id="MathJax-Span-18231" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18232"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18233" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18234"><span class="mrow" id="MathJax-Span-18235"><span class="mn" id="MathJax-Span-18236" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18237"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18238" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18239"><span class="mrow" id="MathJax-Span-18240"><span class="mn" id="MathJax-Span-18241" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18242" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18243" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-18244"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18245" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18246"><span class="mrow" id="MathJax-Span-18247"><span class="mn" id="MathJax-Span-18248" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18249"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18250" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18251"><span class="mrow" id="MathJax-Span-18252"><span class="mn" id="MathJax-Span-18253" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18254"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18255" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18256"><span class="mrow" id="MathJax-Span-18257"><span class="mn" id="MathJax-Span-18258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18259" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18260" style="font-family: MathJax_Main; padding-left: 0.237em;">288</span><span class="msubsup" id="MathJax-Span-18261"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18262" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18263"><span class="mrow" id="MathJax-Span-18264"><span class="mn" id="MathJax-Span-18265" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18266"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18267" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18268"><span class="mrow" id="MathJax-Span-18269"><span class="mn" id="MathJax-Span-18270" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18271"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18272" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18273"><span class="mrow" id="MathJax-Span-18274"><span class="mn" id="MathJax-Span-18275" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18276" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18277" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-18278"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18279" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18280"><span class="mrow" id="MathJax-Span-18281"><span class="mn" id="MathJax-Span-18282" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18283" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18284"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18285" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18286"><span class="mrow" id="MathJax-Span-18287"><span class="mn" id="MathJax-Span-18288" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18289" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18290" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-18291"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18292" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18293"><span class="mrow" id="MathJax-Span-18294"><span class="mn" id="MathJax-Span-18295" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18296"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18297" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18298"><span class="mrow" id="MathJax-Span-18299"><span class="mn" id="MathJax-Span-18300" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18301" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18302" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="mi" id="MathJax-Span-18303" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18304"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18305" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18306"><span class="mrow" id="MathJax-Span-18307"><span class="mn" id="MathJax-Span-18308" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18309"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18310" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18311"><span class="mrow" id="MathJax-Span-18312"><span class="mn" id="MathJax-Span-18313" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18314" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18315" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="mi" id="MathJax-Span-18316" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18317"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18318" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18319"><span class="mrow" id="MathJax-Span-18320"><span class="mn" id="MathJax-Span-18321" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18322"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18323" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18324"><span class="mrow" id="MathJax-Span-18325"><span class="mn" id="MathJax-Span-18326" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18327" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18328" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="mi" id="MathJax-Span-18329" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18330"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18331" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18332"><span class="mrow" id="MathJax-Span-18333"><span class="mn" id="MathJax-Span-18334" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18335"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18336" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18337"><span class="mrow" id="MathJax-Span-18338"><span class="mn" id="MathJax-Span-18339" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18340" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18341" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="mi" id="MathJax-Span-18342" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-18343" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18344"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18345" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18346"><span class="mrow" id="MathJax-Span-18347"><span class="mn" id="MathJax-Span-18348" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18349" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18350" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-18351" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18352"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18353" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18354"><span class="mrow" id="MathJax-Span-18355"><span class="mn" id="MathJax-Span-18356" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18357" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18358" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-18359"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18360" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18361"><span class="mrow" id="MathJax-Span-18362"><span class="mn" id="MathJax-Span-18363" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18364"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18365" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18366"><span class="mrow" id="MathJax-Span-18367"><span class="mn" id="MathJax-Span-18368" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.69em, 4.218em, -999.997em); top: 3.106em; left: 50%; margin-left: -27.398em;"><span class="mo" id="MathJax-Span-18369" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18370" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="msubsup" id="MathJax-Span-18371"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18372" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18373"><span class="mrow" id="MathJax-Span-18374"><span class="mn" id="MathJax-Span-18375" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18376"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18377" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18378"><span class="mrow" id="MathJax-Span-18379"><span class="mn" id="MathJax-Span-18380" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18381" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18382" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-18383"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18384" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18385"><span class="mrow" id="MathJax-Span-18386"><span class="mn" id="MathJax-Span-18387" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18388"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18389" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18390"><span class="mrow" id="MathJax-Span-18391"><span class="mn" id="MathJax-Span-18392" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18393" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18394" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="mi" id="MathJax-Span-18395" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="msubsup" id="MathJax-Span-18396"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18397" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18398"><span class="mrow" id="MathJax-Span-18399"><span class="mn" id="MathJax-Span-18400" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18401" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18402" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-18403"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18404" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-18405"><span class="mrow" id="MathJax-Span-18406"><span class="mn" id="MathJax-Span-18407" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18408" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18409" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-18410"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18411" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18412"><span class="mrow" id="MathJax-Span-18413"><span class="mn" id="MathJax-Span-18414" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18415"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18416" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18417"><span class="mrow" id="MathJax-Span-18418"><span class="mn" id="MathJax-Span-18419" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18420" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18421" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18422" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-18423"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18424" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18425"><span class="mrow" id="MathJax-Span-18426"><span class="mn" id="MathJax-Span-18427" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18428"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18429" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18430"><span class="mrow" id="MathJax-Span-18431"><span class="mn" id="MathJax-Span-18432" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18433" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18434" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18435" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-18436"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18437" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18438"><span class="mrow" id="MathJax-Span-18439"><span class="mn" id="MathJax-Span-18440" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18441"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18442" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18443"><span class="mrow" id="MathJax-Span-18444"><span class="mn" id="MathJax-Span-18445" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18446" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18447" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18448" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-18449"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18450" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18451"><span class="mrow" id="MathJax-Span-18452"><span class="mn" id="MathJax-Span-18453" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18454" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18455" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18456" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18457" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-18458"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18459" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18460"><span class="mrow" id="MathJax-Span-18461"><span class="mn" id="MathJax-Span-18462" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18463" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18464" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18465" style="font-family: MathJax_Main; padding-left: 0.237em;">50</span><span class="msubsup" id="MathJax-Span-18466"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18467" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18468"><span class="mrow" id="MathJax-Span-18469"><span class="mn" id="MathJax-Span-18470" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18471"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18472" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18473"><span class="mrow" id="MathJax-Span-18474"><span class="mn" id="MathJax-Span-18475" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18476" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18477" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18478" style="font-family: MathJax_Main; padding-left: 0.237em;">212</span><span class="msubsup" id="MathJax-Span-18479"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18480" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18481"><span class="mrow" id="MathJax-Span-18482"><span class="mn" id="MathJax-Span-18483" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18484"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18485" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18486"><span class="mrow" id="MathJax-Span-18487"><span class="mn" id="MathJax-Span-18488" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18489" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18490" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18491" style="font-family: MathJax_Main; padding-left: 0.237em;">336</span><span class="msubsup" id="MathJax-Span-18492"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18493" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18494"><span class="mrow" id="MathJax-Span-18495"><span class="mn" id="MathJax-Span-18496" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18497"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18498" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18499"><span class="mrow" id="MathJax-Span-18500"><span class="mn" id="MathJax-Span-18501" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18502" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.87em, 4.218em, -999.997em); top: 4.511em; left: 50%; margin-left: -26.929em;"><span class="mo" id="MathJax-Span-18503" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18504" style="font-family: MathJax_Main; padding-left: 0.237em;">236</span><span class="msubsup" id="MathJax-Span-18505"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18506" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18507"><span class="mrow" id="MathJax-Span-18508"><span class="mn" id="MathJax-Span-18509" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18510" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18511" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18512" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18513" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-18514"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18515" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18516"><span class="mrow" id="MathJax-Span-18517"><span class="mn" id="MathJax-Span-18518" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18519" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18520" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18521" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-18522"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18523" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18524"><span class="mrow" id="MathJax-Span-18525"><span class="mn" id="MathJax-Span-18526" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18527"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18528" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18529"><span class="mrow" id="MathJax-Span-18530"><span class="mn" id="MathJax-Span-18531" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18532" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18533" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18534" style="font-family: MathJax_Main; padding-left: 0.237em;">340</span><span class="msubsup" id="MathJax-Span-18535"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18536" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18537"><span class="mrow" id="MathJax-Span-18538"><span class="mn" id="MathJax-Span-18539" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18540"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18541" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18542"><span class="mrow" id="MathJax-Span-18543"><span class="mn" id="MathJax-Span-18544" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18545" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18546" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18547" style="font-family: MathJax_Main; padding-left: 0.237em;">564</span><span class="msubsup" id="MathJax-Span-18548"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18549" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18550"><span class="mrow" id="MathJax-Span-18551"><span class="mn" id="MathJax-Span-18552" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18553"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18554" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18555"><span class="mrow" id="MathJax-Span-18556"><span class="mn" id="MathJax-Span-18557" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18558" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18559" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18560" style="font-family: MathJax_Main; padding-left: 0.237em;">412</span><span class="msubsup" id="MathJax-Span-18561"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18562" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18563"><span class="mrow" id="MathJax-Span-18564"><span class="mn" id="MathJax-Span-18565" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18566" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18567" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18568" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18569" style="font-family: MathJax_Main; padding-left: 0.237em;">112</span><span class="msubsup" id="MathJax-Span-18570"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18571" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18572"><span class="mrow" id="MathJax-Span-18573"><span class="mn" id="MathJax-Span-18574" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18575" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18576" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18577" style="font-family: MathJax_Main; padding-left: 0.237em;">48</span><span class="msubsup" id="MathJax-Span-18578"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18579" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18580"><span class="mrow" id="MathJax-Span-18581"><span class="mn" id="MathJax-Span-18582" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18583"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18584" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18585"><span class="mrow" id="MathJax-Span-18586"><span class="mn" id="MathJax-Span-18587" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18588" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18589" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18590" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-18591"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18592" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18593"><span class="mrow" id="MathJax-Span-18594"><span class="mn" id="MathJax-Span-18595" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18596"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18597" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18598"><span class="mrow" id="MathJax-Span-18599"><span class="mn" id="MathJax-Span-18600" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18601" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18602" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18603" style="font-family: MathJax_Main; padding-left: 0.237em;">396</span><span class="msubsup" id="MathJax-Span-18604"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18605" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18606"><span class="mrow" id="MathJax-Span-18607"><span class="mn" id="MathJax-Span-18608" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18609"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18610" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18611"><span class="mrow" id="MathJax-Span-18612"><span class="mn" id="MathJax-Span-18613" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18614" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18615" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18616" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-18617"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18618" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18619"><span class="mrow" id="MathJax-Span-18620"><span class="mn" id="MathJax-Span-18621" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18622" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18623" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.34em, 4.218em, -999.997em); top: 5.916em; left: 50%; margin-left: -26.636em;"><span class="mo" id="MathJax-Span-18624" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18625" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-18626"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18627" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18628"><span class="mrow" id="MathJax-Span-18629"><span class="mn" id="MathJax-Span-18630" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18631" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18632" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18633" style="font-family: MathJax_Main; padding-left: 0.237em;">3</span><span class="mi" id="MathJax-Span-18634" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18635"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18636" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18637"><span class="mrow" id="MathJax-Span-18638"><span class="mn" id="MathJax-Span-18639" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18640" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18641" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18642" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="mi" id="MathJax-Span-18643" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18644"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18645" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18646"><span class="mrow" id="MathJax-Span-18647"><span class="mn" id="MathJax-Span-18648" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18649" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18650" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18651" style="font-family: MathJax_Main; padding-left: 0.237em;">27</span><span class="mi" id="MathJax-Span-18652" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18653"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18654" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18655"><span class="mrow" id="MathJax-Span-18656"><span class="mn" id="MathJax-Span-18657" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18658" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18659" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18660" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-18661" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-18662" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18663" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18664" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18665" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-18666"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18667" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18668"><span class="mrow" id="MathJax-Span-18669"><span class="mn" id="MathJax-Span-18670" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18671" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18672" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18673" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-18674"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18675" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18676"><span class="mrow" id="MathJax-Span-18677"><span class="mn" id="MathJax-Span-18678" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18679" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18680" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18681" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-18682"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18683" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18684"><span class="mrow" id="MathJax-Span-18685"><span class="mn" id="MathJax-Span-18686" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18687" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18688" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18689" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-18690" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mi" id="MathJax-Span-18691" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-18692" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18693" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-18694"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18695" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18696"><span class="mrow" id="MathJax-Span-18697"><span class="mn" id="MathJax-Span-18698" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18699"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18700" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18701"><span class="mrow" id="MathJax-Span-18702"><span class="mn" id="MathJax-Span-18703" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18704" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18705" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-18706"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18707" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18708"><span class="mrow" id="MathJax-Span-18709"><span class="mn" id="MathJax-Span-18710" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18711"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18712" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18713"><span class="mrow" id="MathJax-Span-18714"><span class="mn" id="MathJax-Span-18715" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18716" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18717" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-18718"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18719" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18720"><span class="mrow" id="MathJax-Span-18721"><span class="mn" id="MathJax-Span-18722" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18723"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18724" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18725"><span class="mrow" id="MathJax-Span-18726"><span class="mn" id="MathJax-Span-18727" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18728" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18729" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-18730"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18731" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18732"><span class="mrow" id="MathJax-Span-18733"><span class="mn" id="MathJax-Span-18734" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18735" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-18736" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18737" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-18738"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18739" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18740"><span class="mrow" id="MathJax-Span-18741"><span class="mn" id="MathJax-Span-18742" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1055.62em, 4.218em, -999.997em); top: 7.321em; left: 50%; margin-left: -27.807em;"><span class="mo" id="MathJax-Span-18743" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18744" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-18745"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18746" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18747"><span class="mrow" id="MathJax-Span-18748"><span class="mn" id="MathJax-Span-18749" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18750"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18751" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18752"><span class="mrow" id="MathJax-Span-18753"><span class="mn" id="MathJax-Span-18754" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18755" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18756" style="font-family: MathJax_Main; padding-left: 0.237em;">76</span><span class="msubsup" id="MathJax-Span-18757"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18758" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18759"><span class="mrow" id="MathJax-Span-18760"><span class="mn" id="MathJax-Span-18761" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18762"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18763" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18764"><span class="mrow" id="MathJax-Span-18765"><span class="mn" id="MathJax-Span-18766" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18767" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18768" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-18769"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18770" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18771"><span class="mrow" id="MathJax-Span-18772"><span class="mn" id="MathJax-Span-18773" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18774"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18775" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18776"><span class="mrow" id="MathJax-Span-18777"><span class="mn" id="MathJax-Span-18778" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18779" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18780" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-18781"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18782" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18783"><span class="mrow" id="MathJax-Span-18784"><span class="mn" id="MathJax-Span-18785" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18786" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-18787" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18788" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-18789"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18790" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18791"><span class="mrow" id="MathJax-Span-18792"><span class="mn" id="MathJax-Span-18793" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18794" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18795" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-18796"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18797" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18798"><span class="mrow" id="MathJax-Span-18799"><span class="mn" id="MathJax-Span-18800" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18801"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18802" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18803"><span class="mrow" id="MathJax-Span-18804"><span class="mn" id="MathJax-Span-18805" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18806" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18807" style="font-family: MathJax_Main; padding-left: 0.237em;">132</span><span class="msubsup" id="MathJax-Span-18808"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18809" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18810"><span class="mrow" id="MathJax-Span-18811"><span class="mn" id="MathJax-Span-18812" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18813"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18814" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18815"><span class="mrow" id="MathJax-Span-18816"><span class="mn" id="MathJax-Span-18817" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18818" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18819" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-18820"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18821" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18822"><span class="mrow" id="MathJax-Span-18823"><span class="mn" id="MathJax-Span-18824" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18825"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18826" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18827"><span class="mrow" id="MathJax-Span-18828"><span class="mn" id="MathJax-Span-18829" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18830" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18831" style="font-family: MathJax_Main; padding-left: 0.237em;">156</span><span class="msubsup" id="MathJax-Span-18832"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18833" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18834"><span class="mrow" id="MathJax-Span-18835"><span class="mn" id="MathJax-Span-18836" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18837" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-18838" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18839" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-18840"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18841" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18842"><span class="mrow" id="MathJax-Span-18843"><span class="mn" id="MathJax-Span-18844" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18845" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18846" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-18847"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18848" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18849"><span class="mrow" id="MathJax-Span-18850"><span class="mn" id="MathJax-Span-18851" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18852"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18853" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18854"><span class="mrow" id="MathJax-Span-18855"><span class="mn" id="MathJax-Span-18856" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18857" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18858" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-18859"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18860" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18861"><span class="mrow" id="MathJax-Span-18862"><span class="mn" id="MathJax-Span-18863" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18864"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18865" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18866"><span class="mrow" id="MathJax-Span-18867"><span class="mn" id="MathJax-Span-18868" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18869" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18870" style="font-family: MathJax_Main; padding-left: 0.237em;">168</span><span class="msubsup" id="MathJax-Span-18871"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18872" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18873"><span class="mrow" id="MathJax-Span-18874"><span class="mn" id="MathJax-Span-18875" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18876"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18877" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18878"><span class="mrow" id="MathJax-Span-18879"><span class="mn" id="MathJax-Span-18880" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1029.63em, 4.218em, -999.997em); top: 8.727em; left: 50%; margin-left: -14.81em;"><span class="mo" id="MathJax-Span-18881" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-18882" style="font-family: MathJax_Main; padding-left: 0.237em;">124</span><span class="msubsup" id="MathJax-Span-18883"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18884" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18885"><span class="mrow" id="MathJax-Span-18886"><span class="mn" id="MathJax-Span-18887" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-18888" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-18889" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18890" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-18891"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18892" style="font-family: MathJax_Math; font-style: italic;">v</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-18893"><span class="mrow" id="MathJax-Span-18894"><span class="mn" id="MathJax-Span-18895" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18896" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-18897" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">v</span><span class="msubsup" id="MathJax-Span-18898"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18899" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18900"><span class="mrow" id="MathJax-Span-18901"><span class="mn" id="MathJax-Span-18902" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18903" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18904" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-18905" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18906"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18907" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18908"><span class="mrow" id="MathJax-Span-18909"><span class="mn" id="MathJax-Span-18910" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18911" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18912" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="mi" id="MathJax-Span-18913" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="msubsup" id="MathJax-Span-18914"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18915" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18916"><span class="mrow" id="MathJax-Span-18917"><span class="mn" id="MathJax-Span-18918" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18919" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18920" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-18921" style="font-family: MathJax_Math; font-style: italic;">v</span><span class="mi" id="MathJax-Span-18922" style="font-family: MathJax_Math; font-style: italic;">w</span><span class="mo" id="MathJax-Span-18923" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18924" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-18925"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18926" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18927"><span class="mrow" id="MathJax-Span-18928"><span class="mn" id="MathJax-Span-18929" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18930" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18931" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-18932"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18933" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18934"><span class="mrow" id="MathJax-Span-18935"><span class="mn" id="MathJax-Span-18936" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18937" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-18938" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-18939"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.71em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18940" style="font-family: MathJax_Math; font-style: italic;">w</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.706em;"><span class="texatom" id="MathJax-Span-18941"><span class="mrow" id="MathJax-Span-18942"><span class="mn" id="MathJax-Span-18943" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 14.698em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -15.639em; border-left: 0px solid; width: 0px; height: 16.789em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>w</mi><msup><mi>x</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>168</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>124</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>w</mi><mo>+</mo><mn>34</mn><msup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>9</mn><mi>v</mi><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>v</mi><mi>w</mi><mo>+</mo><mn>4</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>w</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-218"> 0 \le 4 v^{5} w^{4} x^{3}+16 v^{5} w^{3} x^{3}+24 v^{5} w^{2} x^{3}+16 v^{5} w x^{3}+4 v^{5} x^{3}+14 v^{4} w^{4} x^{3}+60 v^{4} w^{3} x^{3}+96 v^{4} w^{2} x^{3}+68 v^{4} w x^{3}+18 v^{4} x^{3}+16 v^{3} w^{4} x^{3}+76 v^{3} w^{3} x^{3}+132 v^{3} w^{2} x^{3}+100 v^{3} w x^{3}+28 v^{3} x^{3}+4 v^{2} w^{4} x^{3}+28 v^{2} w^{3} x^{3}+60 v^{2} w^{2} x^{3}+52 v^{2} w x^{3}+16 v^{2} x^{3}+5 v w^{4} x^{3}+24 v w^{3} x^{3}+33 v w^{2} x^{3}+18 v w x^{3}+4 v x^{3}+7 w^{4} x^{3}+38 w^{3} x^{3}+63 w^{2} x^{3}+38 w x^{3}+10 x^{3}+12 v^{5} w^{4} x^{2}+48 v^{5} w^{3} x^{2}+72 v^{5} w^{2} x^{2}+48 v^{5} w x^{2}+12 v^{5} x^{2}+46 v^{4} w^{4} x^{2}+196 v^{4} w^{3} x^{2}+312 v^{4} w^{2} x^{2}+220 v^{4} w x^{2}+58 v^{4} x^{2}+62 v^{3} w^{4} x^{2}+284 v^{3} w^{3} x^{2}+480 v^{3} w^{2} x^{2}+356 v^{3} w x^{2}+98 v^{3} x^{2}+30 v^{2} w^{4} x^{2}+156 v^{2} w^{3} x^{2}+288 v^{2} w^{2} x^{2}+228 v^{2} w x^{2}+66 v^{2} x^{2}+7 v w^{4} x^{2}+40 v w^{3} x^{2}+51 v w^{2} x^{2}+22 v w x^{2}+4 v x^{2}+16 w^{4} x^{2}+82 w^{3} x^{2}+120 w^{2} x^{2}+56 w x^{2}+14 x^{2}+12 v^{5} w^{4} x+48 v^{5} w^{3} x+72 v^{5} w^{2} x+48 v^{5} w x+12 v^{5} x+50 v^{4} w^{4} x+212 v^{4} w^{3} x+336 v^{4} w^{2} x+236 v^{4} w x+62 v^{4} x+76 v^{3} w^{4} x+340 v^{3} w^{3} x+564 v^{3} w^{2} x+412 v^{3} w x+112 v^{3} x+48 v^{2} w^{4} x+228 v^{2} w^{3} x+396 v^{2} w^{2} x+300 v^{2} w x+84 v^{2} x+3 v w^{4} x+24 v w^{3} x+27 v w^{2} x+6 v w x+9 w^{4} x+46 w^{3} x+51 w^{2} x+2 w x+4 v^{5} w^{4}+16 v^{5} w^{3}+24 v^{5} w^{2}+16 v^{5} w+4 v^{5}+18 v^{4} w^{4}+76 v^{4} w^{3}+120 v^{4} w^{2}+84 v^{4} w+22 v^{4}+30 v^{3} w^{4}+132 v^{3} w^{3}+216 v^{3} w^{2}+156 v^{3} w+42 v^{3}+22 v^{2} w^{4}+100 v^{2} w^{3}+168 v^{2} w^{2}+124 v^{2} w+34 v^{2}+v w^{4}+8 v w^{3}+9 v w^{2}+2 v w+4 w^{4}+18 w^{3}+18 w^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-219-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>y</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>z</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2192;</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-18944" style="width: 23.891em; display: inline-block;"><span style="display: inline-block; position: relative; width: 19.558em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1019.44em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-18945"><span class="mi" id="MathJax-Span-18946" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-18947" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-18948" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-18949"><span class="mrow" id="MathJax-Span-18950"><span class="mo" id="MathJax-Span-18951" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-18952" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-18953" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-18954" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-18955" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-18956" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-18957" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-18958" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-18959" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-18960" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-18961"><span class="mrow" id="MathJax-Span-18962"><span class="mo" id="MathJax-Span-18963" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-18964" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-18965" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-18966" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-18967" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-18968" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-18969" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-18970" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span><span class="mo" id="MathJax-Span-18971" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mn" id="MathJax-Span-18972" style="font-family: MathJax_Main; padding-left: 0.296em;">1</span><span class="texatom" id="MathJax-Span-18973"><span class="mrow" id="MathJax-Span-18974"><span class="mo" id="MathJax-Span-18975" style="font-family: MathJax_Main;">/</span></span></span><span class="mo" id="MathJax-Span-18976" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-18977" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-18978" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-18979" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18980" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-18981"><span class="mrow" id="MathJax-Span-18982"><span class="mn" id="MathJax-Span-18983" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-18984" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>y</mi><mo stretchy="false">)</mo><mo>,</mo><mi>b</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>z</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">→</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-219">a\to 1/(1+y),b\to 1/(1+z),c\to 1/(1+a_{1})</script>
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Numerator after substitutions: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-220-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>30</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>24</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>z</mi><mo>+</mo><mn>8</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mo>+</mo><mn>9</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>86</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>195</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>142</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>z</mi><mo>+</mo><mn>44</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>36</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>244</mn><msubsup><mi>a</mi><mrow 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aria-hidden="true"><span class="math" id="MathJax-Span-18985" style="width: 69.09em; display: inline-block;"><span style="display: inline-block; position: relative; width: 56.619em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(14.933em, 1056.62em, 30.214em, -999.997em); top: -15.922em; left: 0em;"><span class="mrow" id="MathJax-Span-18986"><span style="display: inline-block; position: relative; width: 56.619em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1052.87em, 4.453em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-18987" style="font-family: MathJax_Main;">10</span><span class="msubsup" id="MathJax-Span-18988"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18989" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-18990"><span class="mrow" id="MathJax-Span-18991"><span class="mn" id="MathJax-Span-18992" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-18993"><span class="mrow" id="MathJax-Span-18994"><span class="mn" id="MathJax-Span-18995" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-18996"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-18997" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-18998"><span class="mrow" id="MathJax-Span-18999"><span class="mn" id="MathJax-Span-19000" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19001"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19002" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19003"><span class="mrow" id="MathJax-Span-19004"><span class="mn" id="MathJax-Span-19005" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19006" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19007" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-19008"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19009" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19010"><span class="mrow" id="MathJax-Span-19011"><span class="mn" id="MathJax-Span-19012" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19013"><span class="mrow" id="MathJax-Span-19014"><span class="mn" id="MathJax-Span-19015" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19016"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19017" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19018"><span class="mrow" id="MathJax-Span-19019"><span class="mn" id="MathJax-Span-19020" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19021"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19022" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19023"><span class="mrow" id="MathJax-Span-19024"><span class="mn" id="MathJax-Span-19025" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19026" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19027" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-19028"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19029" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19030"><span class="mrow" id="MathJax-Span-19031"><span class="mn" id="MathJax-Span-19032" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19033"><span class="mrow" id="MathJax-Span-19034"><span class="mn" id="MathJax-Span-19035" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19036"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19037" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19038"><span class="mrow" id="MathJax-Span-19039"><span class="mn" id="MathJax-Span-19040" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19041" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19042" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19043" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-19044"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19045" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19046"><span class="mrow" id="MathJax-Span-19047"><span class="mn" id="MathJax-Span-19048" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19049"><span class="mrow" id="MathJax-Span-19050"><span class="mn" id="MathJax-Span-19051" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19052"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19053" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19054"><span class="mrow" id="MathJax-Span-19055"><span class="mn" id="MathJax-Span-19056" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19057" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19058" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-19059"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19060" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19061"><span class="mrow" id="MathJax-Span-19062"><span class="mn" id="MathJax-Span-19063" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19064"><span class="mrow" id="MathJax-Span-19065"><span class="mn" id="MathJax-Span-19066" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19067"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19068" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19069"><span class="mrow" id="MathJax-Span-19070"><span class="mn" id="MathJax-Span-19071" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19072"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19073" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19074"><span class="mrow" id="MathJax-Span-19075"><span class="mn" id="MathJax-Span-19076" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19077" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19078" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="msubsup" id="MathJax-Span-19079"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19080" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19081"><span class="mrow" id="MathJax-Span-19082"><span class="mn" id="MathJax-Span-19083" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19084"><span class="mrow" id="MathJax-Span-19085"><span class="mn" id="MathJax-Span-19086" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19087"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19088" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19089"><span class="mrow" id="MathJax-Span-19090"><span class="mn" id="MathJax-Span-19091" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19092"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19093" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19094"><span class="mrow" id="MathJax-Span-19095"><span class="mn" id="MathJax-Span-19096" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19097" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19098" style="font-family: MathJax_Main; padding-left: 0.237em;">195</span><span class="msubsup" id="MathJax-Span-19099"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19100" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19101"><span class="mrow" id="MathJax-Span-19102"><span class="mn" id="MathJax-Span-19103" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19104"><span class="mrow" id="MathJax-Span-19105"><span class="mn" id="MathJax-Span-19106" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19107"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19108" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19109"><span class="mrow" id="MathJax-Span-19110"><span class="mn" id="MathJax-Span-19111" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19112"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19113" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19114"><span class="mrow" id="MathJax-Span-19115"><span class="mn" id="MathJax-Span-19116" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19117" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19118" style="font-family: MathJax_Main; padding-left: 0.237em;">142</span><span class="msubsup" id="MathJax-Span-19119"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19120" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19121"><span class="mrow" id="MathJax-Span-19122"><span class="mn" id="MathJax-Span-19123" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19124"><span class="mrow" id="MathJax-Span-19125"><span class="mn" id="MathJax-Span-19126" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19127"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19128" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19129"><span class="mrow" id="MathJax-Span-19130"><span class="mn" id="MathJax-Span-19131" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19132" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19133" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19134" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-19135"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19136" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19137"><span class="mrow" id="MathJax-Span-19138"><span class="mn" id="MathJax-Span-19139" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19140"><span class="mrow" id="MathJax-Span-19141"><span class="mn" id="MathJax-Span-19142" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19143"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19144" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19145"><span class="mrow" id="MathJax-Span-19146"><span class="mn" id="MathJax-Span-19147" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19148" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19149" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-19150"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19151" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19152"><span class="mrow" id="MathJax-Span-19153"><span class="mn" id="MathJax-Span-19154" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19155"><span class="mrow" id="MathJax-Span-19156"><span class="mn" id="MathJax-Span-19157" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19158"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19159" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19160"><span class="mrow" id="MathJax-Span-19161"><span class="mn" id="MathJax-Span-19162" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19163"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19164" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19165"><span class="mrow" id="MathJax-Span-19166"><span class="mn" id="MathJax-Span-19167" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19168" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19169" style="font-family: MathJax_Main; padding-left: 0.237em;">244</span><span class="msubsup" id="MathJax-Span-19170"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19171" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19172"><span class="mrow" id="MathJax-Span-19173"><span class="mn" id="MathJax-Span-19174" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19175"><span class="mrow" id="MathJax-Span-19176"><span class="mn" id="MathJax-Span-19177" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19178"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19179" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19180"><span class="mrow" id="MathJax-Span-19181"><span class="mn" id="MathJax-Span-19182" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19183"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19184" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19185"><span class="mrow" id="MathJax-Span-19186"><span class="mn" id="MathJax-Span-19187" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.92em, 4.453em, -999.997em); top: -2.398em; left: 0em;"><span class="mo" id="MathJax-Span-19188" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-19189" style="font-family: MathJax_Main; padding-left: 0.237em;">480</span><span class="msubsup" id="MathJax-Span-19190"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19191" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19192"><span class="mrow" id="MathJax-Span-19193"><span class="mn" id="MathJax-Span-19194" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19195"><span class="mrow" id="MathJax-Span-19196"><span class="mn" id="MathJax-Span-19197" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19198"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19199" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19200"><span class="mrow" id="MathJax-Span-19201"><span class="mn" id="MathJax-Span-19202" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19203"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19204" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19205"><span class="mrow" id="MathJax-Span-19206"><span class="mn" id="MathJax-Span-19207" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19208" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19209" style="font-family: MathJax_Main; padding-left: 0.237em;">328</span><span class="msubsup" id="MathJax-Span-19210"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19211" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19212"><span class="mrow" id="MathJax-Span-19213"><span class="mn" id="MathJax-Span-19214" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19215"><span class="mrow" id="MathJax-Span-19216"><span class="mn" id="MathJax-Span-19217" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19218"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19219" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19220"><span class="mrow" id="MathJax-Span-19221"><span class="mn" id="MathJax-Span-19222" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19223" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19224" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19225" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-19226"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19227" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19228"><span class="mrow" id="MathJax-Span-19229"><span class="mn" id="MathJax-Span-19230" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19231"><span class="mrow" id="MathJax-Span-19232"><span class="mn" id="MathJax-Span-19233" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19234"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19235" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19236"><span class="mrow" id="MathJax-Span-19237"><span class="mn" id="MathJax-Span-19238" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19239" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19240" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-19241"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19242" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19243"><span class="mrow" id="MathJax-Span-19244"><span class="mn" id="MathJax-Span-19245" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19246"><span class="mrow" id="MathJax-Span-19247"><span class="mn" id="MathJax-Span-19248" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19249"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19250" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19251"><span class="mrow" id="MathJax-Span-19252"><span class="mn" id="MathJax-Span-19253" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19254"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19255" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19256"><span class="mrow" id="MathJax-Span-19257"><span class="mn" id="MathJax-Span-19258" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19259" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19260" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-19261"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19262" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19263"><span class="mrow" id="MathJax-Span-19264"><span class="mn" id="MathJax-Span-19265" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19266"><span class="mrow" id="MathJax-Span-19267"><span class="mn" id="MathJax-Span-19268" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19269"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19270" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19271"><span class="mrow" id="MathJax-Span-19272"><span class="mn" id="MathJax-Span-19273" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19274"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19275" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19276"><span class="mrow" id="MathJax-Span-19277"><span class="mn" id="MathJax-Span-19278" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19279" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19280" style="font-family: MathJax_Main; padding-left: 0.237em;">558</span><span class="msubsup" id="MathJax-Span-19281"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19282" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19283"><span class="mrow" id="MathJax-Span-19284"><span class="mn" id="MathJax-Span-19285" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19286"><span class="mrow" id="MathJax-Span-19287"><span class="mn" id="MathJax-Span-19288" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19289"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19290" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19291"><span class="mrow" id="MathJax-Span-19292"><span class="mn" id="MathJax-Span-19293" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19294"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19295" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19296"><span class="mrow" id="MathJax-Span-19297"><span class="mn" id="MathJax-Span-19298" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19299" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19300" style="font-family: MathJax_Main; padding-left: 0.237em;">360</span><span class="msubsup" id="MathJax-Span-19301"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19302" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19303"><span class="mrow" id="MathJax-Span-19304"><span class="mn" id="MathJax-Span-19305" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19306"><span class="mrow" id="MathJax-Span-19307"><span class="mn" id="MathJax-Span-19308" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19309"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19310" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19311"><span class="mrow" id="MathJax-Span-19312"><span class="mn" id="MathJax-Span-19313" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19314" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19315" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19316" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-19317"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19318" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19319"><span class="mrow" id="MathJax-Span-19320"><span class="mn" id="MathJax-Span-19321" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19322"><span class="mrow" id="MathJax-Span-19323"><span class="mn" id="MathJax-Span-19324" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19325"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19326" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19327"><span class="mrow" id="MathJax-Span-19328"><span class="mn" id="MathJax-Span-19329" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19330" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19331" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-19332"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19333" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19334"><span class="mrow" id="MathJax-Span-19335"><span class="mn" id="MathJax-Span-19336" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19337"><span class="mrow" id="MathJax-Span-19338"><span class="mn" id="MathJax-Span-19339" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19340" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19341"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19342" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19343"><span class="mrow" id="MathJax-Span-19344"><span class="mn" id="MathJax-Span-19345" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19346" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19347" style="font-family: MathJax_Main; padding-left: 0.237em;">166</span><span class="msubsup" id="MathJax-Span-19348"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19349" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19350"><span class="mrow" id="MathJax-Span-19351"><span class="mn" id="MathJax-Span-19352" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19353"><span class="mrow" id="MathJax-Span-19354"><span class="mn" id="MathJax-Span-19355" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19356" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19357"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19358" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19359"><span class="mrow" id="MathJax-Span-19360"><span class="mn" id="MathJax-Span-19361" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19362" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19363" style="font-family: MathJax_Main; padding-left: 0.237em;">282</span><span class="msubsup" id="MathJax-Span-19364"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19365" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19366"><span class="mrow" id="MathJax-Span-19367"><span class="mn" id="MathJax-Span-19368" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19369"><span class="mrow" id="MathJax-Span-19370"><span class="mn" id="MathJax-Span-19371" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19372" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19373"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19374" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19375"><span class="mrow" id="MathJax-Span-19376"><span class="mn" id="MathJax-Span-19377" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1051.76em, 4.453em, -999.997em); top: -0.817em; left: 0em;"><span class="mo" id="MathJax-Span-19378" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-19379" style="font-family: MathJax_Main; padding-left: 0.237em;">172</span><span class="msubsup" id="MathJax-Span-19380"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19381" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19382"><span class="mrow" id="MathJax-Span-19383"><span class="mn" id="MathJax-Span-19384" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19385"><span class="mrow" id="MathJax-Span-19386"><span class="mn" id="MathJax-Span-19387" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19388" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-19389" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19390" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19391" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-19392"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19393" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19394"><span class="mrow" id="MathJax-Span-19395"><span class="mn" id="MathJax-Span-19396" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19397"><span class="mrow" id="MathJax-Span-19398"><span class="mn" id="MathJax-Span-19399" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19400" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19401" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19402" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-19403"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19404" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19405"><span class="mrow" id="MathJax-Span-19406"><span class="mn" id="MathJax-Span-19407" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19408"><span class="mrow" id="MathJax-Span-19409"><span class="mn" id="MathJax-Span-19410" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19411"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19412" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19413"><span class="mrow" id="MathJax-Span-19414"><span class="mn" id="MathJax-Span-19415" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19416" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19417" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-19418"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19419" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19420"><span class="mrow" id="MathJax-Span-19421"><span class="mn" id="MathJax-Span-19422" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19423"><span class="mrow" id="MathJax-Span-19424"><span class="mn" id="MathJax-Span-19425" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19426"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19427" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19428"><span class="mrow" id="MathJax-Span-19429"><span class="mn" id="MathJax-Span-19430" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19431" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19432" style="font-family: MathJax_Main; padding-left: 0.237em;">63</span><span class="msubsup" id="MathJax-Span-19433"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19434" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19435"><span class="mrow" id="MathJax-Span-19436"><span class="mn" id="MathJax-Span-19437" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19438"><span class="mrow" id="MathJax-Span-19439"><span class="mn" id="MathJax-Span-19440" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19441"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19442" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19443"><span class="mrow" id="MathJax-Span-19444"><span class="mn" id="MathJax-Span-19445" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19446" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19447" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-19448"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19449" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19450"><span class="mrow" id="MathJax-Span-19451"><span class="mn" id="MathJax-Span-19452" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19453"><span class="mrow" id="MathJax-Span-19454"><span class="mn" id="MathJax-Span-19455" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19456" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19457" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19458" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-19459"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19460" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19461"><span class="mrow" id="MathJax-Span-19462"><span class="mn" id="MathJax-Span-19463" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19464"><span class="mrow" id="MathJax-Span-19465"><span class="mn" id="MathJax-Span-19466" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19467" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19468" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="msubsup" id="MathJax-Span-19469"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19470" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19471"><span class="mrow" id="MathJax-Span-19472"><span class="mn" id="MathJax-Span-19473" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19474"><span class="mrow" id="MathJax-Span-19475"><span class="mn" id="MathJax-Span-19476" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19477"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19478" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19479"><span class="mrow" id="MathJax-Span-19480"><span class="mn" id="MathJax-Span-19481" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19482"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19483" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19484"><span class="mrow" id="MathJax-Span-19485"><span class="mn" id="MathJax-Span-19486" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19487" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19488" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-19489"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19490" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19491"><span class="mrow" id="MathJax-Span-19492"><span class="mn" id="MathJax-Span-19493" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19494"><span class="mrow" id="MathJax-Span-19495"><span class="mn" id="MathJax-Span-19496" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19497"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19498" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19499"><span class="mrow" id="MathJax-Span-19500"><span class="mn" id="MathJax-Span-19501" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19502"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19503" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19504"><span class="mrow" id="MathJax-Span-19505"><span class="mn" id="MathJax-Span-19506" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19507" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19508" style="font-family: MathJax_Main; padding-left: 0.237em;">117</span><span class="msubsup" id="MathJax-Span-19509"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19510" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19511"><span class="mrow" id="MathJax-Span-19512"><span class="mn" id="MathJax-Span-19513" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19514"><span class="mrow" id="MathJax-Span-19515"><span class="mn" id="MathJax-Span-19516" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19517"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19518" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19519"><span class="mrow" id="MathJax-Span-19520"><span class="mn" id="MathJax-Span-19521" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19522"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19523" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19524"><span class="mrow" id="MathJax-Span-19525"><span class="mn" id="MathJax-Span-19526" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19527" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19528" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-19529"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19530" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19531"><span class="mrow" id="MathJax-Span-19532"><span class="mn" id="MathJax-Span-19533" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19534"><span class="mrow" id="MathJax-Span-19535"><span class="mn" id="MathJax-Span-19536" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19537"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19538" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19539"><span class="mrow" id="MathJax-Span-19540"><span class="mn" id="MathJax-Span-19541" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19542" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19543" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19544" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-19545"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19546" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19547"><span class="mrow" id="MathJax-Span-19548"><span class="mn" id="MathJax-Span-19549" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19550"><span class="mrow" id="MathJax-Span-19551"><span class="mn" id="MathJax-Span-19552" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19553"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19554" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19555"><span class="mrow" id="MathJax-Span-19556"><span class="mn" id="MathJax-Span-19557" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1053.22em, 4.453em, -999.997em); top: 0.764em; left: 0em;"><span class="mo" id="MathJax-Span-19558" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-19559" style="font-family: MathJax_Main; padding-left: 0.237em;">64</span><span class="msubsup" id="MathJax-Span-19560"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19561" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19562"><span class="mrow" id="MathJax-Span-19563"><span class="mn" id="MathJax-Span-19564" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19565"><span class="mrow" id="MathJax-Span-19566"><span class="mn" id="MathJax-Span-19567" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19568"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19569" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19570"><span class="mrow" id="MathJax-Span-19571"><span class="mn" id="MathJax-Span-19572" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19573"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19574" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19575"><span class="mrow" id="MathJax-Span-19576"><span class="mn" id="MathJax-Span-19577" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19578" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19579" style="font-family: MathJax_Main; padding-left: 0.237em;">346</span><span class="msubsup" id="MathJax-Span-19580"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19581" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19582"><span class="mrow" id="MathJax-Span-19583"><span class="mn" id="MathJax-Span-19584" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19585"><span class="mrow" id="MathJax-Span-19586"><span class="mn" id="MathJax-Span-19587" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19588"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19589" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19590"><span class="mrow" id="MathJax-Span-19591"><span class="mn" id="MathJax-Span-19592" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19593"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19594" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19595"><span class="mrow" id="MathJax-Span-19596"><span class="mn" id="MathJax-Span-19597" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19598" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19599" style="font-family: MathJax_Main; padding-left: 0.237em;">612</span><span class="msubsup" id="MathJax-Span-19600"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19601" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19602"><span class="mrow" id="MathJax-Span-19603"><span class="mn" id="MathJax-Span-19604" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19605"><span class="mrow" id="MathJax-Span-19606"><span class="mn" id="MathJax-Span-19607" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19608"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19609" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19610"><span class="mrow" id="MathJax-Span-19611"><span class="mn" id="MathJax-Span-19612" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19613"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19614" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19615"><span class="mrow" id="MathJax-Span-19616"><span class="mn" id="MathJax-Span-19617" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19618" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19619" style="font-family: MathJax_Main; padding-left: 0.237em;">384</span><span class="msubsup" id="MathJax-Span-19620"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19621" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19622"><span class="mrow" id="MathJax-Span-19623"><span class="mn" id="MathJax-Span-19624" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19625"><span class="mrow" id="MathJax-Span-19626"><span class="mn" id="MathJax-Span-19627" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19628"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19629" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19630"><span class="mrow" id="MathJax-Span-19631"><span class="mn" id="MathJax-Span-19632" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19633" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19634" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19635" style="font-family: MathJax_Main; padding-left: 0.237em;">114</span><span class="msubsup" id="MathJax-Span-19636"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19637" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19638"><span class="mrow" id="MathJax-Span-19639"><span class="mn" id="MathJax-Span-19640" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19641"><span class="mrow" id="MathJax-Span-19642"><span class="mn" id="MathJax-Span-19643" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19644"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19645" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19646"><span class="mrow" id="MathJax-Span-19647"><span class="mn" id="MathJax-Span-19648" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19649" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19650" style="font-family: MathJax_Main; padding-left: 0.237em;">146</span><span class="msubsup" id="MathJax-Span-19651"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19652" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19653"><span class="mrow" id="MathJax-Span-19654"><span class="mn" id="MathJax-Span-19655" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19656"><span class="mrow" id="MathJax-Span-19657"><span class="mn" id="MathJax-Span-19658" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19659"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19660" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19661"><span class="mrow" id="MathJax-Span-19662"><span class="mn" id="MathJax-Span-19663" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19664"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19665" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19666"><span class="mrow" id="MathJax-Span-19667"><span class="mn" id="MathJax-Span-19668" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19669" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19670" style="font-family: MathJax_Main; padding-left: 0.237em;">764</span><span class="msubsup" id="MathJax-Span-19671"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19672" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19673"><span class="mrow" id="MathJax-Span-19674"><span class="mn" id="MathJax-Span-19675" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19676"><span class="mrow" id="MathJax-Span-19677"><span class="mn" id="MathJax-Span-19678" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19679"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19680" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19681"><span class="mrow" id="MathJax-Span-19682"><span class="mn" id="MathJax-Span-19683" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19684"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19685" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19686"><span class="mrow" id="MathJax-Span-19687"><span class="mn" id="MathJax-Span-19688" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19689" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19690" style="font-family: MathJax_Main; padding-left: 0.237em;">1278</span><span class="msubsup" id="MathJax-Span-19691"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19692" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19693"><span class="mrow" id="MathJax-Span-19694"><span class="mn" id="MathJax-Span-19695" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19696"><span class="mrow" id="MathJax-Span-19697"><span class="mn" id="MathJax-Span-19698" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19699"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19700" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19701"><span class="mrow" id="MathJax-Span-19702"><span class="mn" id="MathJax-Span-19703" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19704"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19705" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19706"><span class="mrow" id="MathJax-Span-19707"><span class="mn" id="MathJax-Span-19708" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19709" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19710" style="font-family: MathJax_Main; padding-left: 0.237em;">756</span><span class="msubsup" id="MathJax-Span-19711"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19712" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19713"><span class="mrow" id="MathJax-Span-19714"><span class="mn" id="MathJax-Span-19715" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19716"><span class="mrow" id="MathJax-Span-19717"><span class="mn" id="MathJax-Span-19718" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19719"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19720" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19721"><span class="mrow" id="MathJax-Span-19722"><span class="mn" id="MathJax-Span-19723" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19724" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19725" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19726" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-19727"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19728" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19729"><span class="mrow" id="MathJax-Span-19730"><span class="mn" id="MathJax-Span-19731" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19732"><span class="mrow" id="MathJax-Span-19733"><span class="mn" id="MathJax-Span-19734" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19735"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19736" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19737"><span class="mrow" id="MathJax-Span-19738"><span class="mn" id="MathJax-Span-19739" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.51em, 4.453em, -999.997em); top: 2.345em; left: 0em;"><span class="mo" id="MathJax-Span-19740" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-19741" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-19742"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19743" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19744"><span class="mrow" id="MathJax-Span-19745"><span class="mn" id="MathJax-Span-19746" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19747"><span class="mrow" id="MathJax-Span-19748"><span class="mn" id="MathJax-Span-19749" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19750"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19751" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19752"><span class="mrow" id="MathJax-Span-19753"><span class="mn" id="MathJax-Span-19754" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19755"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19756" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19757"><span class="mrow" id="MathJax-Span-19758"><span class="mn" id="MathJax-Span-19759" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19760" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19761" style="font-family: MathJax_Main; padding-left: 0.237em;">816</span><span class="msubsup" id="MathJax-Span-19762"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19763" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19764"><span class="mrow" id="MathJax-Span-19765"><span class="mn" id="MathJax-Span-19766" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19767"><span class="mrow" id="MathJax-Span-19768"><span class="mn" id="MathJax-Span-19769" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19770"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19771" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19772"><span class="mrow" id="MathJax-Span-19773"><span class="mn" id="MathJax-Span-19774" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19775"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19776" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19777"><span class="mrow" id="MathJax-Span-19778"><span class="mn" id="MathJax-Span-19779" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19780" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19781" style="font-family: MathJax_Main; padding-left: 0.237em;">1284</span><span class="msubsup" id="MathJax-Span-19782"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19783" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19784"><span class="mrow" id="MathJax-Span-19785"><span class="mn" id="MathJax-Span-19786" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19787"><span class="mrow" id="MathJax-Span-19788"><span class="mn" id="MathJax-Span-19789" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19790"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19791" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19792"><span class="mrow" id="MathJax-Span-19793"><span class="mn" id="MathJax-Span-19794" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19795"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19796" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19797"><span class="mrow" id="MathJax-Span-19798"><span class="mn" id="MathJax-Span-19799" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19800" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19801" style="font-family: MathJax_Main; padding-left: 0.237em;">700</span><span class="msubsup" id="MathJax-Span-19802"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19803" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19804"><span class="mrow" id="MathJax-Span-19805"><span class="mn" id="MathJax-Span-19806" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19807"><span class="mrow" id="MathJax-Span-19808"><span class="mn" id="MathJax-Span-19809" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19810"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19811" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19812"><span class="mrow" id="MathJax-Span-19813"><span class="mn" id="MathJax-Span-19814" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19815" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19816" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19817" style="font-family: MathJax_Main; padding-left: 0.237em;">190</span><span class="msubsup" id="MathJax-Span-19818"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19819" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19820"><span class="mrow" id="MathJax-Span-19821"><span class="mn" id="MathJax-Span-19822" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19823"><span class="mrow" id="MathJax-Span-19824"><span class="mn" id="MathJax-Span-19825" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19826"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19827" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19828"><span class="mrow" id="MathJax-Span-19829"><span class="mn" id="MathJax-Span-19830" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19831" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19832" style="font-family: MathJax_Main; padding-left: 0.237em;">73</span><span class="msubsup" id="MathJax-Span-19833"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19834" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19835"><span class="mrow" id="MathJax-Span-19836"><span class="mn" id="MathJax-Span-19837" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19838"><span class="mrow" id="MathJax-Span-19839"><span class="mn" id="MathJax-Span-19840" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19841" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19842"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19843" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19844"><span class="mrow" id="MathJax-Span-19845"><span class="mn" id="MathJax-Span-19846" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19847" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19848" style="font-family: MathJax_Main; padding-left: 0.237em;">370</span><span class="msubsup" id="MathJax-Span-19849"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19850" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19851"><span class="mrow" id="MathJax-Span-19852"><span class="mn" id="MathJax-Span-19853" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19854"><span class="mrow" id="MathJax-Span-19855"><span class="mn" id="MathJax-Span-19856" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19857" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19858"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19859" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19860"><span class="mrow" id="MathJax-Span-19861"><span class="mn" id="MathJax-Span-19862" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19863" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19864" style="font-family: MathJax_Main; padding-left: 0.237em;">549</span><span class="msubsup" id="MathJax-Span-19865"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19866" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19867"><span class="mrow" id="MathJax-Span-19868"><span class="mn" id="MathJax-Span-19869" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19870"><span class="mrow" id="MathJax-Span-19871"><span class="mn" id="MathJax-Span-19872" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19873" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-19874"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19875" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19876"><span class="mrow" id="MathJax-Span-19877"><span class="mn" id="MathJax-Span-19878" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19879" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19880" style="font-family: MathJax_Main; padding-left: 0.237em;">258</span><span class="msubsup" id="MathJax-Span-19881"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19882" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19883"><span class="mrow" id="MathJax-Span-19884"><span class="mn" id="MathJax-Span-19885" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19886"><span class="mrow" id="MathJax-Span-19887"><span class="mn" id="MathJax-Span-19888" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19889" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-19890" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19891" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19892" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-19893"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19894" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19895"><span class="mrow" id="MathJax-Span-19896"><span class="mn" id="MathJax-Span-19897" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19898"><span class="mrow" id="MathJax-Span-19899"><span class="mn" id="MathJax-Span-19900" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19901" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19902" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19903" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-19904"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19905" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19906"><span class="mrow" id="MathJax-Span-19907"><span class="mn" id="MathJax-Span-19908" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19909"><span class="mrow" id="MathJax-Span-19910"><span class="mn" id="MathJax-Span-19911" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19912"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19913" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19914"><span class="mrow" id="MathJax-Span-19915"><span class="mn" id="MathJax-Span-19916" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1056.62em, 4.453em, -999.997em); top: 3.926em; left: 0em;"><span class="mo" id="MathJax-Span-19917" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-19918" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="msubsup" id="MathJax-Span-19919"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19920" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19921"><span class="mrow" id="MathJax-Span-19922"><span class="mn" id="MathJax-Span-19923" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19924"><span class="mrow" id="MathJax-Span-19925"><span class="mn" id="MathJax-Span-19926" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19927"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19928" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19929"><span class="mrow" id="MathJax-Span-19930"><span class="mn" id="MathJax-Span-19931" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19932" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19933" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-19934"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19935" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19936"><span class="mrow" id="MathJax-Span-19937"><span class="mn" id="MathJax-Span-19938" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19939"><span class="mrow" id="MathJax-Span-19940"><span class="mn" id="MathJax-Span-19941" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19942"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19943" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19944"><span class="mrow" id="MathJax-Span-19945"><span class="mn" id="MathJax-Span-19946" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19947" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19948" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-19949"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19950" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19951"><span class="mrow" id="MathJax-Span-19952"><span class="mn" id="MathJax-Span-19953" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19954"><span class="mrow" id="MathJax-Span-19955"><span class="mn" id="MathJax-Span-19956" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-19957" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-19958" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19959" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-19960"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19961" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19962"><span class="mrow" id="MathJax-Span-19963"><span class="mn" id="MathJax-Span-19964" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19965"><span class="mrow" id="MathJax-Span-19966"><span class="mn" id="MathJax-Span-19967" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19968" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19969" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-19970"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19971" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19972"><span class="mrow" id="MathJax-Span-19973"><span class="mn" id="MathJax-Span-19974" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19975"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19976" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19977"><span class="mrow" id="MathJax-Span-19978"><span class="mn" id="MathJax-Span-19979" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19980"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19981" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19982"><span class="mrow" id="MathJax-Span-19983"><span class="mn" id="MathJax-Span-19984" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-19985" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-19986" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-19987"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19988" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19989"><span class="mrow" id="MathJax-Span-19990"><span class="mn" id="MathJax-Span-19991" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19992"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19993" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19994"><span class="mrow" id="MathJax-Span-19995"><span class="mn" id="MathJax-Span-19996" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-19997"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-19998" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-19999"><span class="mrow" id="MathJax-Span-20000"><span class="mn" id="MathJax-Span-20001" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20002" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20003" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-20004"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20005" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20006"><span class="mrow" id="MathJax-Span-20007"><span class="mn" id="MathJax-Span-20008" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20009"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20010" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20011"><span class="mrow" id="MathJax-Span-20012"><span class="mn" id="MathJax-Span-20013" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20014"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20015" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20016"><span class="mrow" id="MathJax-Span-20017"><span class="mn" id="MathJax-Span-20018" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20019" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20020" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-20021"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20022" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20023"><span class="mrow" id="MathJax-Span-20024"><span class="mn" id="MathJax-Span-20025" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20026"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20027" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20028"><span class="mrow" id="MathJax-Span-20029"><span class="mn" id="MathJax-Span-20030" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20031" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20032" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20033" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-20034"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20035" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20036"><span class="mrow" id="MathJax-Span-20037"><span class="mn" id="MathJax-Span-20038" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20039"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20040" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20041"><span class="mrow" id="MathJax-Span-20042"><span class="mn" id="MathJax-Span-20043" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20044" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20045" style="font-family: MathJax_Main; padding-left: 0.237em;">75</span><span class="msubsup" id="MathJax-Span-20046"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20047" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20048"><span class="mrow" id="MathJax-Span-20049"><span class="mn" id="MathJax-Span-20050" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20051"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20052" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20053"><span class="mrow" id="MathJax-Span-20054"><span class="mn" id="MathJax-Span-20055" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20056"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20057" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20058"><span class="mrow" id="MathJax-Span-20059"><span class="mn" id="MathJax-Span-20060" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20061" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20062" style="font-family: MathJax_Main; padding-left: 0.237em;">350</span><span class="msubsup" id="MathJax-Span-20063"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20064" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20065"><span class="mrow" id="MathJax-Span-20066"><span class="mn" id="MathJax-Span-20067" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20068"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20069" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20070"><span class="mrow" id="MathJax-Span-20071"><span class="mn" id="MathJax-Span-20072" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20073"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20074" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20075"><span class="mrow" id="MathJax-Span-20076"><span class="mn" id="MathJax-Span-20077" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20078" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20079" style="font-family: MathJax_Main; padding-left: 0.237em;">543</span><span class="msubsup" id="MathJax-Span-20080"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20081" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20082"><span class="mrow" id="MathJax-Span-20083"><span class="mn" id="MathJax-Span-20084" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20085"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20086" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20087"><span class="mrow" id="MathJax-Span-20088"><span class="mn" id="MathJax-Span-20089" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20090"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20091" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20092"><span class="mrow" id="MathJax-Span-20093"><span class="mn" id="MathJax-Span-20094" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.76em, 4.394em, -999.997em); top: 5.506em; left: 0em;"><span class="mo" id="MathJax-Span-20095" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20096" style="font-family: MathJax_Main; padding-left: 0.237em;">298</span><span class="msubsup" id="MathJax-Span-20097"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20098" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20099"><span class="mrow" id="MathJax-Span-20100"><span class="mn" id="MathJax-Span-20101" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20102"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20103" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20104"><span class="mrow" id="MathJax-Span-20105"><span class="mn" id="MathJax-Span-20106" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20107" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20108" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20109" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-20110"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20111" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20112"><span class="mrow" id="MathJax-Span-20113"><span class="mn" id="MathJax-Span-20114" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20115"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20116" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20117"><span class="mrow" id="MathJax-Span-20118"><span class="mn" id="MathJax-Span-20119" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20120" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20121" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-20122"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20123" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20124"><span class="mrow" id="MathJax-Span-20125"><span class="mn" id="MathJax-Span-20126" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20127"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20128" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20129"><span class="mrow" id="MathJax-Span-20130"><span class="mn" id="MathJax-Span-20131" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20132"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20133" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20134"><span class="mrow" id="MathJax-Span-20135"><span class="mn" id="MathJax-Span-20136" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20138" style="font-family: MathJax_Main; padding-left: 0.237em;">660</span><span class="msubsup" id="MathJax-Span-20139"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20140" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20141"><span class="mrow" id="MathJax-Span-20142"><span class="mn" id="MathJax-Span-20143" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20144"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20145" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20146"><span class="mrow" id="MathJax-Span-20147"><span class="mn" id="MathJax-Span-20148" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20149"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20150" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20151"><span class="mrow" id="MathJax-Span-20152"><span class="mn" id="MathJax-Span-20153" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20154" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20155" style="font-family: MathJax_Main; padding-left: 0.237em;">972</span><span class="msubsup" id="MathJax-Span-20156"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20157" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20158"><span class="mrow" id="MathJax-Span-20159"><span class="mn" id="MathJax-Span-20160" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20161"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20162" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20163"><span class="mrow" id="MathJax-Span-20164"><span class="mn" id="MathJax-Span-20165" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20166"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20167" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20168"><span class="mrow" id="MathJax-Span-20169"><span class="mn" id="MathJax-Span-20170" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20171" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20172" style="font-family: MathJax_Main; padding-left: 0.237em;">472</span><span class="msubsup" id="MathJax-Span-20173"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20174" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20175"><span class="mrow" id="MathJax-Span-20176"><span class="mn" id="MathJax-Span-20177" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20178"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20179" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20180"><span class="mrow" id="MathJax-Span-20181"><span class="mn" id="MathJax-Span-20182" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20183" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20184" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20185" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-20186"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20187" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20188"><span class="mrow" id="MathJax-Span-20189"><span class="mn" id="MathJax-Span-20190" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20191"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20192" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20193"><span class="mrow" id="MathJax-Span-20194"><span class="mn" id="MathJax-Span-20195" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20196" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20197" style="font-family: MathJax_Main; padding-left: 0.237em;">126</span><span class="msubsup" id="MathJax-Span-20198"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20199" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20200"><span class="mrow" id="MathJax-Span-20201"><span class="mn" id="MathJax-Span-20202" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20203"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20204" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20205"><span class="mrow" id="MathJax-Span-20206"><span class="mn" id="MathJax-Span-20207" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20208"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20209" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20210"><span class="mrow" id="MathJax-Span-20211"><span class="mn" id="MathJax-Span-20212" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20213" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20214" style="font-family: MathJax_Main; padding-left: 0.237em;">592</span><span class="msubsup" id="MathJax-Span-20215"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20216" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20217"><span class="mrow" id="MathJax-Span-20218"><span class="mn" id="MathJax-Span-20219" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20220"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20221" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20222"><span class="mrow" id="MathJax-Span-20223"><span class="mn" id="MathJax-Span-20224" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20225"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20226" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20227"><span class="mrow" id="MathJax-Span-20228"><span class="mn" id="MathJax-Span-20229" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20230" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20231" style="font-family: MathJax_Main; padding-left: 0.237em;">798</span><span class="msubsup" id="MathJax-Span-20232"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20233" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20234"><span class="mrow" id="MathJax-Span-20235"><span class="mn" id="MathJax-Span-20236" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20237"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20238" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20239"><span class="mrow" id="MathJax-Span-20240"><span class="mn" id="MathJax-Span-20241" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20242"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20243" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20244"><span class="mrow" id="MathJax-Span-20245"><span class="mn" id="MathJax-Span-20246" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1054.92em, 4.394em, -999.997em); top: 6.97em; left: 0em;"><span class="mo" id="MathJax-Span-20247" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20248" style="font-family: MathJax_Main; padding-left: 0.237em;">296</span><span class="msubsup" id="MathJax-Span-20249"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20250" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20251"><span class="mrow" id="MathJax-Span-20252"><span class="mn" id="MathJax-Span-20253" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20254"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20255" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20256"><span class="mrow" id="MathJax-Span-20257"><span class="mn" id="MathJax-Span-20258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20259" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20260" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20261" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-20262"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20263" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20264"><span class="mrow" id="MathJax-Span-20265"><span class="mn" id="MathJax-Span-20266" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20267"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20268" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20269"><span class="mrow" id="MathJax-Span-20270"><span class="mn" id="MathJax-Span-20271" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20272" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20273" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-20274"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20275" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20276"><span class="mrow" id="MathJax-Span-20277"><span class="mn" id="MathJax-Span-20278" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20279" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20280"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20281" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20282"><span class="mrow" id="MathJax-Span-20283"><span class="mn" id="MathJax-Span-20284" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20285" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20286" style="font-family: MathJax_Main; padding-left: 0.237em;">206</span><span class="msubsup" id="MathJax-Span-20287"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20288" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20289"><span class="mrow" id="MathJax-Span-20290"><span class="mn" id="MathJax-Span-20291" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20292" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20293"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20294" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20295"><span class="mrow" id="MathJax-Span-20296"><span class="mn" id="MathJax-Span-20297" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20298" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20299" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-20300"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20301" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20302"><span class="mrow" id="MathJax-Span-20303"><span class="mn" id="MathJax-Span-20304" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20305" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20306"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20307" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20308"><span class="mrow" id="MathJax-Span-20309"><span class="mn" id="MathJax-Span-20310" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20311" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20312" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-20313"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20314" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20315"><span class="mrow" id="MathJax-Span-20316"><span class="mn" id="MathJax-Span-20317" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20318" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-20319" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20320" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20321" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-20322"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20323" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20324"><span class="mrow" id="MathJax-Span-20325"><span class="mn" id="MathJax-Span-20326" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20327"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20328" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20329"><span class="mrow" id="MathJax-Span-20330"><span class="mn" id="MathJax-Span-20331" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20332" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20333" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-20334"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20335" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20336"><span class="mrow" id="MathJax-Span-20337"><span class="mn" id="MathJax-Span-20338" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20339"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20340" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20341"><span class="mrow" id="MathJax-Span-20342"><span class="mn" id="MathJax-Span-20343" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20344" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20345" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-20346"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20347" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20348"><span class="mrow" id="MathJax-Span-20349"><span class="mn" id="MathJax-Span-20350" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20351"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20352" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20353"><span class="mrow" id="MathJax-Span-20354"><span class="mn" id="MathJax-Span-20355" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20356" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20357" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-20358"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20359" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20360"><span class="mrow" id="MathJax-Span-20361"><span class="mn" id="MathJax-Span-20362" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20363" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20364" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20365" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-20366"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20367" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20368"><span class="mrow" id="MathJax-Span-20369"><span class="mn" id="MathJax-Span-20370" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20371"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20372" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20373"><span class="mrow" id="MathJax-Span-20374"><span class="mn" id="MathJax-Span-20375" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20376" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20377" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-20378"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20379" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20380"><span class="mrow" id="MathJax-Span-20381"><span class="mn" id="MathJax-Span-20382" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20383"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20384" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20385"><span class="mrow" id="MathJax-Span-20386"><span class="mn" id="MathJax-Span-20387" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20388" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20389" style="font-family: MathJax_Main; padding-left: 0.237em;">57</span><span class="msubsup" id="MathJax-Span-20390"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20391" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20392"><span class="mrow" id="MathJax-Span-20393"><span class="mn" id="MathJax-Span-20394" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20395"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20396" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20397"><span class="mrow" id="MathJax-Span-20398"><span class="mn" id="MathJax-Span-20399" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1052.76em, 4.394em, -999.997em); top: 8.434em; left: 0em;"><span class="mo" id="MathJax-Span-20400" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20401" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-20402"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20403" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20404"><span class="mrow" id="MathJax-Span-20405"><span class="mn" id="MathJax-Span-20406" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20407" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20408" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20409" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-20410"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20411" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20412"><span class="mrow" id="MathJax-Span-20413"><span class="mn" id="MathJax-Span-20414" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20415" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20416" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-20417"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20418" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20419"><span class="mrow" id="MathJax-Span-20420"><span class="mn" id="MathJax-Span-20421" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20422"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20423" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20424"><span class="mrow" id="MathJax-Span-20425"><span class="mn" id="MathJax-Span-20426" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20427" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20428" style="font-family: MathJax_Main; padding-left: 0.237em;">170</span><span class="msubsup" id="MathJax-Span-20429"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20430" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20431"><span class="mrow" id="MathJax-Span-20432"><span class="mn" id="MathJax-Span-20433" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20434"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20435" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20436"><span class="mrow" id="MathJax-Span-20437"><span class="mn" id="MathJax-Span-20438" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20439" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20440" style="font-family: MathJax_Main; padding-left: 0.237em;">246</span><span class="msubsup" id="MathJax-Span-20441"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20442" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20443"><span class="mrow" id="MathJax-Span-20444"><span class="mn" id="MathJax-Span-20445" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20446"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20447" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20448"><span class="mrow" id="MathJax-Span-20449"><span class="mn" id="MathJax-Span-20450" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20451" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20452" style="font-family: MathJax_Main; padding-left: 0.237em;">136</span><span class="msubsup" id="MathJax-Span-20453"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20454" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20455"><span class="mrow" id="MathJax-Span-20456"><span class="mn" id="MathJax-Span-20457" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20458" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20459" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20460" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-20461"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20462" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20463"><span class="mrow" id="MathJax-Span-20464"><span class="mn" id="MathJax-Span-20465" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20466" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20467" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-20468"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20469" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20470"><span class="mrow" id="MathJax-Span-20471"><span class="mn" id="MathJax-Span-20472" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20473"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20474" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20475"><span class="mrow" id="MathJax-Span-20476"><span class="mn" id="MathJax-Span-20477" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20478" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20479" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-20480"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20481" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20482"><span class="mrow" id="MathJax-Span-20483"><span class="mn" id="MathJax-Span-20484" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20485"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20486" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20487"><span class="mrow" id="MathJax-Span-20488"><span class="mn" id="MathJax-Span-20489" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20490" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20491" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-20492"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20493" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20494"><span class="mrow" id="MathJax-Span-20495"><span class="mn" id="MathJax-Span-20496" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20497"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20498" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20499"><span class="mrow" id="MathJax-Span-20500"><span class="mn" id="MathJax-Span-20501" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20502" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20503" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="msubsup" id="MathJax-Span-20504"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20505" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20506"><span class="mrow" id="MathJax-Span-20507"><span class="mn" id="MathJax-Span-20508" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20509" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20510" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20511" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-20512"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20513" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20514"><span class="mrow" id="MathJax-Span-20515"><span class="mn" id="MathJax-Span-20516" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20517" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20518" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-20519"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20520" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20521"><span class="mrow" id="MathJax-Span-20522"><span class="mn" id="MathJax-Span-20523" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20524"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20525" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20526"><span class="mrow" id="MathJax-Span-20527"><span class="mn" id="MathJax-Span-20528" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1039.46em, 4.394em, -999.997em); top: 9.898em; left: 0em;"><span class="mo" id="MathJax-Span-20529" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20530" style="font-family: MathJax_Main; padding-left: 0.237em;">248</span><span class="msubsup" id="MathJax-Span-20531"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20532" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20533"><span class="mrow" id="MathJax-Span-20534"><span class="mn" id="MathJax-Span-20535" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20536"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20537" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20538"><span class="mrow" id="MathJax-Span-20539"><span class="mn" id="MathJax-Span-20540" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20541" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20542" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-20543"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20544" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20545"><span class="mrow" id="MathJax-Span-20546"><span class="mn" id="MathJax-Span-20547" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20548"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20549" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20550"><span class="mrow" id="MathJax-Span-20551"><span class="mn" id="MathJax-Span-20552" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20553" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20554" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-20555"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20556" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20557"><span class="mrow" id="MathJax-Span-20558"><span class="mn" id="MathJax-Span-20559" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20560" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20561" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20562" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-20563"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20564" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20565"><span class="mrow" id="MathJax-Span-20566"><span class="mn" id="MathJax-Span-20567" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20568" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20569" style="font-family: MathJax_Main; padding-left: 0.237em;">19</span><span class="mi" id="MathJax-Span-20570" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20571"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20572" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20573"><span class="mrow" id="MathJax-Span-20574"><span class="mn" id="MathJax-Span-20575" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20576" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20577" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="mi" id="MathJax-Span-20578" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20579"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20580" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20581"><span class="mrow" id="MathJax-Span-20582"><span class="mn" id="MathJax-Span-20583" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20584" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20585" style="font-family: MathJax_Main; padding-left: 0.237em;">81</span><span class="mi" id="MathJax-Span-20586" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-20587"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20588" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20589"><span class="mrow" id="MathJax-Span-20590"><span class="mn" id="MathJax-Span-20591" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20592" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-20593" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-20594" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-20595" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20596" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20597" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-20598"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20599" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20600"><span class="mrow" id="MathJax-Span-20601"><span class="mn" id="MathJax-Span-20602" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20603" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20604" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-20605"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20606" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20607"><span class="mrow" id="MathJax-Span-20608"><span class="mn" id="MathJax-Span-20609" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20610" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20611" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-20612"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20613" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20614"><span class="mrow" id="MathJax-Span-20615"><span class="mn" id="MathJax-Span-20616" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 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class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>z</mi><mo>+</mo><mn>40</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>70</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>300</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>414</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>204</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>z</mi><mo>+</mo><mn>60</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>58</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>248</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>312</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>116</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>z</mi><mo>+</mo><mn>34</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>19</mn><mi>y</mi><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>82</mn><mi>y</mi><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>81</mn><mi>y</mi><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>2</mn><mi>y</mi><mi>z</mi><mo>+</mo><mn>4</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-220">10 a_{1}^{3} y^{5} z^{3} + 30 a_{1}^{3} y^{5} z^{2} + 24 a_{1}^{3} y^{5} z + 8 a_{1}^{3} y^{5} + 9 a_{1}^{3} y^{4} z^{4} + 86 a_{1}^{3} y^{4} z^{3} + 195 a_{1}^{3} y^{4} z^{2} + 142 a_{1}^{3} y^{4} z + 44 a_{1}^{3} y^{4} + 36 a_{1}^{3} y^{3} z^{4} + 244 a_{1}^{3} y^{3} z^{3} + 480 a_{1}^{3} y^{3} z^{2} + 328 a_{1}^{3} y^{3} z + 96 a_{1}^{3} y^{3} + 54 a_{1}^{3} y^{2} z^{4} + 312 a_{1}^{3} y^{2} z^{3} + 558 a_{1}^{3} y^{2} z^{2} + 360 a_{1}^{3} y^{2} z + 100 a_{1}^{3} y^{2} + 30 a_{1}^{3} y z^{4} + 166 a_{1}^{3} y z^{3} + 282 a_{1}^{3} y z^{2} + 172 a_{1}^{3} y z + 46 a_{1}^{3} y + 7 a_{1}^{3} z^{4} + 38 a_{1}^{3} z^{3} + 63 a_{1}^{3} z^{2} + 38 a_{1}^{3} z + 10 a_{1}^{3} + 11 a_{1}^{2} y^{5} z^{4} + 62 a_{1}^{2} y^{5} z^{3} + 117 a_{1}^{2} y^{5} z^{2} + 78 a_{1}^{2} y^{5} z + 24 a_{1}^{2} y^{5} + 64 a_{1}^{2} y^{4} z^{4} + 346 a_{1}^{2} y^{4} z^{3} + 612 a_{1}^{2} y^{4} z^{2} + 384 a_{1}^{2} y^{4} z + 114 a_{1}^{2} y^{4} + 146 a_{1}^{2} y^{3} z^{4} + 764 a_{1}^{2} y^{3} z^{3} + 1278 a_{1}^{2} y^{3} z^{2} + 756 a_{1}^{2} y^{3} z + 216 a_{1}^{2} y^{3} + 162 a_{1}^{2} y^{2} z^{4} + 816 a_{1}^{2} y^{2} z^{3} + 1284 a_{1}^{2} y^{2} z^{2} + 700 a_{1}^{2} y^{2} z + 190 a_{1}^{2} y^{2} + 73 a_{1}^{2} y z^{4} + 370 a_{1}^{2} y z^{3} + 549 a_{1}^{2} y z^{2} + 258 a_{1}^{2} y z + 66 a_{1}^{2} y + 16 a_{1}^{2} z^{4} + 82 a_{1}^{2} z^{3} + 120 a_{1}^{2} z^{2} + 56 a_{1}^{2} z + 14 a_{1}^{2} + 16 a_{1} y^{5} z^{4} + 74 a_{1} y^{5} z^{3} + 120 a_{1} y^{5} z^{2} + 72 a_{1} y^{5} z + 22 a_{1} y^{5} + 75 a_{1} y^{4} z^{4} + 350 a_{1} y^{4} z^{3} + 543 a_{1} y^{4} z^{2} + 298 a_{1} y^{4} z + 90 a_{1} y^{4} + 140 a_{1} y^{3} z^{4} + 660 a_{1} y^{3} z^{3} + 972 a_{1} y^{3} z^{2} + 472 a_{1} y^{3} z + 140 a_{1} y^{3} + 126 a_{1} y^{2} z^{4} + 592 a_{1} y^{2} z^{3} + 798 a_{1} y^{2} z^{2} + 296 a_{1} y^{2} z + 84 a_{1} y^{2} + 42 a_{1} y z^{4} + 206 a_{1} y z^{3} + 228 a_{1} y z^{2} + 4 a_{1} y z + 9 a_{1} z^{4} + 46 a_{1} z^{3} + 51 a_{1} z^{2} + 2 a_{1} z + 9 y^{5} z^{4} + 38 y^{5} z^{3} + 57 y^{5} z^{2} + 34 y^{5} z + 10 y^{5} + 40 y^{4} z^{4} + 170 y^{4} z^{3} + 246 y^{4} z^{2} + 136 y^{4} z + 40 y^{4} + 70 y^{3} z^{4} + 300 y^{3} z^{3} + 414 y^{3} z^{2} + 204 y^{3} z + 60 y^{3} + 58 y^{2} z^{4} + 248 y^{2} z^{3} + 312 y^{2} z^{2} + 116 y^{2} z + 34 y^{2} + 19 y z^{4} + 82 y z^{3} + 81 y z^{2} - 2 y z + 4 z^{4} + 18 z^{3} + 18 z^{2}</script>
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status: 0
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From weighted AM-GM inequality:
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<div class="output_area">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-221-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>y</mi><mi>z</mi><mo>&#x2264;</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-20617" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1006.03em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-20618"><span class="mn" id="MathJax-Span-20619" style="font-family: MathJax_Main;">2</span><span class="mi" id="MathJax-Span-20620" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-20621" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20622" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="msubsup" id="MathJax-Span-20623" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20624" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20625"><span class="mrow" id="MathJax-Span-20626"><span class="mn" id="MathJax-Span-20627" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20628" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-20629" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20630" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20631"><span class="mrow" id="MathJax-Span-20632"><span class="mn" id="MathJax-Span-20633" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>2</mn><mi>y</mi><mi>z</mi><mo>≤</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-221">2 y z \le y^{2}+z^{2}</script>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display"><span class="MathJax MathJax_FullWidth" id="MathJax-Element-222-Frame" tabindex="0" style="position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>11</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>9</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>10</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>62</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>74</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>38</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>30</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>117</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>120</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>57</mn><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><msup><mi>z</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><mi>y</mi><mo>+</mo><mn>7</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>16</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>9</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>38</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>82</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>63</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>120</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>51</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>17</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>38</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><mi>z</mi><mo>+</mo><mn>56</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><mi>z</mi><mo>+</mo><mn>2</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mi>z</mi><mo>+</mo><mn>10</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><mo>+</mo><mn>14</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-20634" style="width: 100%; display: inline-block; min-width: 68.972em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(15.811em, 1056.5em, 31.97em, -999.997em); top: -16.859em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-20635"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1054.69em, 4.453em, -999.997em); top: -3.978em; left: 50%; margin-left: -27.339em;"><span class="mn" id="MathJax-Span-20636" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-20637" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-20638" style="font-family: MathJax_Main; padding-left: 0.296em;">11</span><span class="msubsup" id="MathJax-Span-20639"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20640" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20641"><span class="mrow" id="MathJax-Span-20642"><span class="mn" id="MathJax-Span-20643" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20644"><span class="mrow" id="MathJax-Span-20645"><span class="mn" id="MathJax-Span-20646" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20647"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20648" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20649"><span class="mrow" id="MathJax-Span-20650"><span class="mn" id="MathJax-Span-20651" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20652"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20653" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20654"><span class="mrow" id="MathJax-Span-20655"><span class="mn" id="MathJax-Span-20656" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20657" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20658" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-20659"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20660" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20661"><span class="mrow" id="MathJax-Span-20662"><span class="mn" id="MathJax-Span-20663" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20664"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20665" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20666"><span class="mrow" id="MathJax-Span-20667"><span class="mn" id="MathJax-Span-20668" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20669"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20670" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20671"><span class="mrow" id="MathJax-Span-20672"><span class="mn" id="MathJax-Span-20673" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20674" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20675" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-20676"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20677" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20678"><span class="mrow" id="MathJax-Span-20679"><span class="mn" id="MathJax-Span-20680" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20681"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20682" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20683"><span class="mrow" id="MathJax-Span-20684"><span class="mn" id="MathJax-Span-20685" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20686" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20687" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-20688"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20689" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20690"><span class="mrow" id="MathJax-Span-20691"><span class="mn" id="MathJax-Span-20692" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20693"><span class="mrow" id="MathJax-Span-20694"><span class="mn" id="MathJax-Span-20695" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20696"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20697" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20698"><span class="mrow" id="MathJax-Span-20699"><span class="mn" id="MathJax-Span-20700" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20701"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20702" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20703"><span class="mrow" id="MathJax-Span-20704"><span class="mn" id="MathJax-Span-20705" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20706" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20707" style="font-family: MathJax_Main; padding-left: 0.237em;">62</span><span class="msubsup" id="MathJax-Span-20708"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20709" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20710"><span class="mrow" id="MathJax-Span-20711"><span class="mn" id="MathJax-Span-20712" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20713"><span class="mrow" id="MathJax-Span-20714"><span class="mn" id="MathJax-Span-20715" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20716"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20717" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20718"><span class="mrow" id="MathJax-Span-20719"><span class="mn" id="MathJax-Span-20720" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20721"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20722" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20723"><span class="mrow" id="MathJax-Span-20724"><span class="mn" id="MathJax-Span-20725" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20726" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20727" style="font-family: MathJax_Main; padding-left: 0.237em;">74</span><span class="msubsup" id="MathJax-Span-20728"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20729" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20730"><span class="mrow" id="MathJax-Span-20731"><span class="mn" id="MathJax-Span-20732" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20733"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20734" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20735"><span class="mrow" id="MathJax-Span-20736"><span class="mn" id="MathJax-Span-20737" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20738"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20739" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20740"><span class="mrow" id="MathJax-Span-20741"><span class="mn" id="MathJax-Span-20742" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20743" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20744" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-20745"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20746" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20747"><span class="mrow" id="MathJax-Span-20748"><span class="mn" id="MathJax-Span-20749" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20750"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20751" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20752"><span class="mrow" id="MathJax-Span-20753"><span class="mn" id="MathJax-Span-20754" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20755" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20756" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-20757"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20758" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20759"><span class="mrow" id="MathJax-Span-20760"><span class="mn" id="MathJax-Span-20761" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20762"><span class="mrow" id="MathJax-Span-20763"><span class="mn" id="MathJax-Span-20764" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20765"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20766" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20767"><span class="mrow" id="MathJax-Span-20768"><span class="mn" id="MathJax-Span-20769" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20770"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20771" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20772"><span class="mrow" id="MathJax-Span-20773"><span class="mn" id="MathJax-Span-20774" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20775" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20776" style="font-family: MathJax_Main; padding-left: 0.237em;">117</span><span class="msubsup" id="MathJax-Span-20777"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20778" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20779"><span class="mrow" id="MathJax-Span-20780"><span class="mn" id="MathJax-Span-20781" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20782"><span class="mrow" id="MathJax-Span-20783"><span class="mn" id="MathJax-Span-20784" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20785"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20786" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20787"><span class="mrow" id="MathJax-Span-20788"><span class="mn" id="MathJax-Span-20789" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20790"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20791" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20792"><span class="mrow" id="MathJax-Span-20793"><span class="mn" id="MathJax-Span-20794" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20795" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20796" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-20797"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20798" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20799"><span class="mrow" id="MathJax-Span-20800"><span class="mn" id="MathJax-Span-20801" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20802"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20803" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20804"><span class="mrow" id="MathJax-Span-20805"><span class="mn" id="MathJax-Span-20806" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20807"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20808" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20809"><span class="mrow" id="MathJax-Span-20810"><span class="mn" id="MathJax-Span-20811" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20812" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20813" style="font-family: MathJax_Main; padding-left: 0.237em;">57</span><span class="msubsup" id="MathJax-Span-20814"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20815" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20816"><span class="mrow" id="MathJax-Span-20817"><span class="mn" id="MathJax-Span-20818" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20819"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20820" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20821"><span class="mrow" id="MathJax-Span-20822"><span class="mn" id="MathJax-Span-20823" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1051.76em, 4.453em, -999.997em); top: -2.339em; left: 50%; margin-left: -25.875em;"><span class="mo" id="MathJax-Span-20824" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20825" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-20826"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20827" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20828"><span class="mrow" id="MathJax-Span-20829"><span class="mn" id="MathJax-Span-20830" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20831"><span class="mrow" id="MathJax-Span-20832"><span class="mn" id="MathJax-Span-20833" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20834"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20835" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20836"><span class="mrow" id="MathJax-Span-20837"><span class="mn" id="MathJax-Span-20838" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20839" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20840" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20841" style="font-family: MathJax_Main; padding-left: 0.237em;">78</span><span class="msubsup" id="MathJax-Span-20842"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20843" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20844"><span class="mrow" id="MathJax-Span-20845"><span class="mn" id="MathJax-Span-20846" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20847"><span class="mrow" id="MathJax-Span-20848"><span class="mn" id="MathJax-Span-20849" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20850"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20851" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20852"><span class="mrow" id="MathJax-Span-20853"><span class="mn" id="MathJax-Span-20854" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20855" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20856" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20857" style="font-family: MathJax_Main; padding-left: 0.237em;">72</span><span class="msubsup" id="MathJax-Span-20858"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20859" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20860"><span class="mrow" id="MathJax-Span-20861"><span class="mn" id="MathJax-Span-20862" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20863"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20864" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20865"><span class="mrow" id="MathJax-Span-20866"><span class="mn" id="MathJax-Span-20867" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20868" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20869" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20870" style="font-family: MathJax_Main; padding-left: 0.237em;">34</span><span class="msubsup" id="MathJax-Span-20871"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20872" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20873"><span class="mrow" id="MathJax-Span-20874"><span class="mn" id="MathJax-Span-20875" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-20876" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-20877" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20878" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-20879"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20880" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20881"><span class="mrow" id="MathJax-Span-20882"><span class="mn" id="MathJax-Span-20883" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20884"><span class="mrow" id="MathJax-Span-20885"><span class="mn" id="MathJax-Span-20886" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20887"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20888" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20889"><span class="mrow" id="MathJax-Span-20890"><span class="mn" id="MathJax-Span-20891" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20892" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20893" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-20894"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20895" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20896"><span class="mrow" id="MathJax-Span-20897"><span class="mn" id="MathJax-Span-20898" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20899"><span class="mrow" id="MathJax-Span-20900"><span class="mn" id="MathJax-Span-20901" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20902"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20903" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20904"><span class="mrow" id="MathJax-Span-20905"><span class="mn" id="MathJax-Span-20906" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20907" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20908" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-20909"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20910" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20911"><span class="mrow" id="MathJax-Span-20912"><span class="mn" id="MathJax-Span-20913" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20914"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20915" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20916"><span class="mrow" id="MathJax-Span-20917"><span class="mn" id="MathJax-Span-20918" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20919" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20920" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-20921"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20922" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20923"><span class="mrow" id="MathJax-Span-20924"><span class="mn" id="MathJax-Span-20925" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20926" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20927" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-20928"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20929" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20930"><span class="mrow" id="MathJax-Span-20931"><span class="mn" id="MathJax-Span-20932" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20933"><span class="mrow" id="MathJax-Span-20934"><span class="mn" id="MathJax-Span-20935" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20936"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20937" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20938"><span class="mrow" id="MathJax-Span-20939"><span class="mn" id="MathJax-Span-20940" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20941"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20942" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20943"><span class="mrow" id="MathJax-Span-20944"><span class="mn" id="MathJax-Span-20945" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20946" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20947" style="font-family: MathJax_Main; padding-left: 0.237em;">64</span><span class="msubsup" id="MathJax-Span-20948"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20949" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20950"><span class="mrow" id="MathJax-Span-20951"><span class="mn" id="MathJax-Span-20952" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20953"><span class="mrow" id="MathJax-Span-20954"><span class="mn" id="MathJax-Span-20955" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20956"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20957" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20958"><span class="mrow" id="MathJax-Span-20959"><span class="mn" id="MathJax-Span-20960" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20961"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20962" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20963"><span class="mrow" id="MathJax-Span-20964"><span class="mn" id="MathJax-Span-20965" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20966" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20967" style="font-family: MathJax_Main; padding-left: 0.237em;">75</span><span class="msubsup" id="MathJax-Span-20968"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20969" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20970"><span class="mrow" id="MathJax-Span-20971"><span class="mn" id="MathJax-Span-20972" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20973"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20974" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20975"><span class="mrow" id="MathJax-Span-20976"><span class="mn" id="MathJax-Span-20977" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20978"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20979" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20980"><span class="mrow" id="MathJax-Span-20981"><span class="mn" id="MathJax-Span-20982" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20983" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-20984" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-20985"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20986" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20987"><span class="mrow" id="MathJax-Span-20988"><span class="mn" id="MathJax-Span-20989" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-20990"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20991" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20992"><span class="mrow" id="MathJax-Span-20993"><span class="mn" id="MathJax-Span-20994" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.76em, 4.453em, -999.997em); top: -0.7em; left: 50%; margin-left: -26.344em;"><span class="mo" id="MathJax-Span-20995" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-20996" style="font-family: MathJax_Main; padding-left: 0.237em;">86</span><span class="msubsup" id="MathJax-Span-20997"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-20998" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-20999"><span class="mrow" id="MathJax-Span-21000"><span class="mn" id="MathJax-Span-21001" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21002"><span class="mrow" id="MathJax-Span-21003"><span class="mn" id="MathJax-Span-21004" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21005"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21006" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21007"><span class="mrow" id="MathJax-Span-21008"><span class="mn" id="MathJax-Span-21009" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21010"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21011" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21012"><span class="mrow" id="MathJax-Span-21013"><span class="mn" id="MathJax-Span-21014" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21015" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21016" style="font-family: MathJax_Main; padding-left: 0.237em;">346</span><span class="msubsup" id="MathJax-Span-21017"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21018" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21019"><span class="mrow" id="MathJax-Span-21020"><span class="mn" id="MathJax-Span-21021" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21022"><span class="mrow" id="MathJax-Span-21023"><span class="mn" id="MathJax-Span-21024" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21025"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21026" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21027"><span class="mrow" id="MathJax-Span-21028"><span class="mn" id="MathJax-Span-21029" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21030"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21031" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21032"><span class="mrow" id="MathJax-Span-21033"><span class="mn" id="MathJax-Span-21034" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21035" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21036" style="font-family: MathJax_Main; padding-left: 0.237em;">350</span><span class="msubsup" id="MathJax-Span-21037"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21038" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21039"><span class="mrow" id="MathJax-Span-21040"><span class="mn" id="MathJax-Span-21041" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21042"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21043" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21044"><span class="mrow" id="MathJax-Span-21045"><span class="mn" id="MathJax-Span-21046" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21047"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21048" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21049"><span class="mrow" id="MathJax-Span-21050"><span class="mn" id="MathJax-Span-21051" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21052" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21053" style="font-family: MathJax_Main; padding-left: 0.237em;">170</span><span class="msubsup" id="MathJax-Span-21054"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21055" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21056"><span class="mrow" id="MathJax-Span-21057"><span class="mn" id="MathJax-Span-21058" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21059"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21060" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21061"><span class="mrow" id="MathJax-Span-21062"><span class="mn" id="MathJax-Span-21063" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21064" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21065" style="font-family: MathJax_Main; padding-left: 0.237em;">195</span><span class="msubsup" id="MathJax-Span-21066"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21067" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21068"><span class="mrow" id="MathJax-Span-21069"><span class="mn" id="MathJax-Span-21070" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21071"><span class="mrow" id="MathJax-Span-21072"><span class="mn" id="MathJax-Span-21073" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21074"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21075" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21076"><span class="mrow" id="MathJax-Span-21077"><span class="mn" id="MathJax-Span-21078" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21079"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21080" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21081"><span class="mrow" id="MathJax-Span-21082"><span class="mn" id="MathJax-Span-21083" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21084" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21085" style="font-family: MathJax_Main; padding-left: 0.237em;">612</span><span class="msubsup" id="MathJax-Span-21086"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21087" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21088"><span class="mrow" id="MathJax-Span-21089"><span class="mn" id="MathJax-Span-21090" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21091"><span class="mrow" id="MathJax-Span-21092"><span class="mn" id="MathJax-Span-21093" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21094"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21095" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21096"><span class="mrow" id="MathJax-Span-21097"><span class="mn" id="MathJax-Span-21098" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21099"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21100" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21101"><span class="mrow" id="MathJax-Span-21102"><span class="mn" id="MathJax-Span-21103" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21104" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21105" style="font-family: MathJax_Main; padding-left: 0.237em;">543</span><span class="msubsup" id="MathJax-Span-21106"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21107" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21108"><span class="mrow" id="MathJax-Span-21109"><span class="mn" id="MathJax-Span-21110" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21111"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21112" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21113"><span class="mrow" id="MathJax-Span-21114"><span class="mn" id="MathJax-Span-21115" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21116"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21117" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21118"><span class="mrow" id="MathJax-Span-21119"><span class="mn" id="MathJax-Span-21120" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21121" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21122" style="font-family: MathJax_Main; padding-left: 0.237em;">246</span><span class="msubsup" id="MathJax-Span-21123"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21124" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21125"><span class="mrow" id="MathJax-Span-21126"><span class="mn" id="MathJax-Span-21127" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21128"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21129" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21130"><span class="mrow" id="MathJax-Span-21131"><span class="mn" id="MathJax-Span-21132" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21133" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21134" style="font-family: MathJax_Main; padding-left: 0.237em;">142</span><span class="msubsup" id="MathJax-Span-21135"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21136" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21137"><span class="mrow" id="MathJax-Span-21138"><span class="mn" id="MathJax-Span-21139" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21140"><span class="mrow" id="MathJax-Span-21141"><span class="mn" id="MathJax-Span-21142" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21143"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21144" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21145"><span class="mrow" id="MathJax-Span-21146"><span class="mn" id="MathJax-Span-21147" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21148" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21149" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21150" style="font-family: MathJax_Main; padding-left: 0.237em;">384</span><span class="msubsup" id="MathJax-Span-21151"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21152" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21153"><span class="mrow" id="MathJax-Span-21154"><span class="mn" id="MathJax-Span-21155" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21156"><span class="mrow" id="MathJax-Span-21157"><span class="mn" id="MathJax-Span-21158" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21159"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21160" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21161"><span class="mrow" id="MathJax-Span-21162"><span class="mn" id="MathJax-Span-21163" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21164" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1051.58em, 4.453em, -999.997em); top: 0.881em; left: 50%; margin-left: -25.817em;"><span class="mo" id="MathJax-Span-21165" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21166" style="font-family: MathJax_Main; padding-left: 0.237em;">298</span><span class="msubsup" id="MathJax-Span-21167"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21168" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21169"><span class="mrow" id="MathJax-Span-21170"><span class="mn" id="MathJax-Span-21171" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21172"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21173" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21174"><span class="mrow" id="MathJax-Span-21175"><span class="mn" id="MathJax-Span-21176" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21177" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21178" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21179" style="font-family: MathJax_Main; padding-left: 0.237em;">136</span><span class="msubsup" id="MathJax-Span-21180"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21181" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21182"><span class="mrow" id="MathJax-Span-21183"><span class="mn" id="MathJax-Span-21184" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21185" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21186" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21187" style="font-family: MathJax_Main; padding-left: 0.237em;">44</span><span class="msubsup" id="MathJax-Span-21188"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21189" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21190"><span class="mrow" id="MathJax-Span-21191"><span class="mn" id="MathJax-Span-21192" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21193"><span class="mrow" id="MathJax-Span-21194"><span class="mn" id="MathJax-Span-21195" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21196"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21197" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21198"><span class="mrow" id="MathJax-Span-21199"><span class="mn" id="MathJax-Span-21200" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21201" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21202" style="font-family: MathJax_Main; padding-left: 0.237em;">114</span><span class="msubsup" id="MathJax-Span-21203"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21204" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21205"><span class="mrow" id="MathJax-Span-21206"><span class="mn" id="MathJax-Span-21207" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21208"><span class="mrow" id="MathJax-Span-21209"><span class="mn" id="MathJax-Span-21210" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21211"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21212" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21213"><span class="mrow" id="MathJax-Span-21214"><span class="mn" id="MathJax-Span-21215" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21216" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21217" style="font-family: MathJax_Main; padding-left: 0.237em;">90</span><span class="msubsup" id="MathJax-Span-21218"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21219" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21220"><span class="mrow" id="MathJax-Span-21221"><span class="mn" id="MathJax-Span-21222" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21223"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21224" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21225"><span class="mrow" id="MathJax-Span-21226"><span class="mn" id="MathJax-Span-21227" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21228" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21229" style="font-family: MathJax_Main; padding-left: 0.237em;">40</span><span class="msubsup" id="MathJax-Span-21230"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21231" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21232"><span class="mrow" id="MathJax-Span-21233"><span class="mn" id="MathJax-Span-21234" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21235" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21236" style="font-family: MathJax_Main; padding-left: 0.237em;">36</span><span class="msubsup" id="MathJax-Span-21237"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21238" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21239"><span class="mrow" id="MathJax-Span-21240"><span class="mn" id="MathJax-Span-21241" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21242"><span class="mrow" id="MathJax-Span-21243"><span class="mn" id="MathJax-Span-21244" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21245"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21246" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21247"><span class="mrow" id="MathJax-Span-21248"><span class="mn" id="MathJax-Span-21249" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21250"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21251" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21252"><span class="mrow" id="MathJax-Span-21253"><span class="mn" id="MathJax-Span-21254" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21255" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21256" style="font-family: MathJax_Main; padding-left: 0.237em;">146</span><span class="msubsup" id="MathJax-Span-21257"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21258" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21259"><span class="mrow" id="MathJax-Span-21260"><span class="mn" id="MathJax-Span-21261" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21262"><span class="mrow" id="MathJax-Span-21263"><span class="mn" id="MathJax-Span-21264" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21265"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21266" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21267"><span class="mrow" id="MathJax-Span-21268"><span class="mn" id="MathJax-Span-21269" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21270"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21271" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21272"><span class="mrow" id="MathJax-Span-21273"><span class="mn" id="MathJax-Span-21274" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21275" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21276" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-21277"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21278" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21279"><span class="mrow" id="MathJax-Span-21280"><span class="mn" id="MathJax-Span-21281" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21282"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21283" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21284"><span class="mrow" id="MathJax-Span-21285"><span class="mn" id="MathJax-Span-21286" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21287"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21288" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21289"><span class="mrow" id="MathJax-Span-21290"><span class="mn" id="MathJax-Span-21291" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21292" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21293" style="font-family: MathJax_Main; padding-left: 0.237em;">70</span><span class="msubsup" id="MathJax-Span-21294"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21295" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21296"><span class="mrow" id="MathJax-Span-21297"><span class="mn" id="MathJax-Span-21298" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21299"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21300" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21301"><span class="mrow" id="MathJax-Span-21302"><span class="mn" id="MathJax-Span-21303" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21304" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21305" style="font-family: MathJax_Main; padding-left: 0.237em;">244</span><span class="msubsup" id="MathJax-Span-21306"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21307" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21308"><span class="mrow" id="MathJax-Span-21309"><span class="mn" id="MathJax-Span-21310" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21311"><span class="mrow" id="MathJax-Span-21312"><span class="mn" id="MathJax-Span-21313" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21314"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21315" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21316"><span class="mrow" id="MathJax-Span-21317"><span class="mn" id="MathJax-Span-21318" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21319"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21320" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21321"><span class="mrow" id="MathJax-Span-21322"><span class="mn" id="MathJax-Span-21323" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.22em, 4.453em, -999.997em); top: 2.52em; left: 50%; margin-left: -26.636em;"><span class="mo" id="MathJax-Span-21324" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21325" style="font-family: MathJax_Main; padding-left: 0.237em;">764</span><span class="msubsup" id="MathJax-Span-21326"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21327" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21328"><span class="mrow" id="MathJax-Span-21329"><span class="mn" id="MathJax-Span-21330" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21331"><span class="mrow" id="MathJax-Span-21332"><span class="mn" id="MathJax-Span-21333" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21334"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21335" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21336"><span class="mrow" id="MathJax-Span-21337"><span class="mn" id="MathJax-Span-21338" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21339"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21340" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21341"><span class="mrow" id="MathJax-Span-21342"><span class="mn" id="MathJax-Span-21343" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21344" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21345" style="font-family: MathJax_Main; padding-left: 0.237em;">660</span><span class="msubsup" id="MathJax-Span-21346"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21347" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21348"><span class="mrow" id="MathJax-Span-21349"><span class="mn" id="MathJax-Span-21350" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21351"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21352" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21353"><span class="mrow" id="MathJax-Span-21354"><span class="mn" id="MathJax-Span-21355" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21356"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21357" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21358"><span class="mrow" id="MathJax-Span-21359"><span class="mn" id="MathJax-Span-21360" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21361" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21362" style="font-family: MathJax_Main; padding-left: 0.237em;">300</span><span class="msubsup" id="MathJax-Span-21363"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21364" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21365"><span class="mrow" id="MathJax-Span-21366"><span class="mn" id="MathJax-Span-21367" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21368"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21369" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21370"><span class="mrow" id="MathJax-Span-21371"><span class="mn" id="MathJax-Span-21372" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21373" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21374" style="font-family: MathJax_Main; padding-left: 0.237em;">480</span><span class="msubsup" id="MathJax-Span-21375"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21376" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21377"><span class="mrow" id="MathJax-Span-21378"><span class="mn" id="MathJax-Span-21379" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21380"><span class="mrow" id="MathJax-Span-21381"><span class="mn" id="MathJax-Span-21382" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21383"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21384" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21385"><span class="mrow" id="MathJax-Span-21386"><span class="mn" id="MathJax-Span-21387" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21388"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21389" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21390"><span class="mrow" id="MathJax-Span-21391"><span class="mn" id="MathJax-Span-21392" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21393" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21394" style="font-family: MathJax_Main; padding-left: 0.237em;">1278</span><span class="msubsup" id="MathJax-Span-21395"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21396" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21397"><span class="mrow" id="MathJax-Span-21398"><span class="mn" id="MathJax-Span-21399" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21400"><span class="mrow" id="MathJax-Span-21401"><span class="mn" id="MathJax-Span-21402" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21403"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21404" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21405"><span class="mrow" id="MathJax-Span-21406"><span class="mn" id="MathJax-Span-21407" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21408"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21409" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21410"><span class="mrow" id="MathJax-Span-21411"><span class="mn" id="MathJax-Span-21412" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21413" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21414" style="font-family: MathJax_Main; padding-left: 0.237em;">972</span><span class="msubsup" id="MathJax-Span-21415"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21416" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21417"><span class="mrow" id="MathJax-Span-21418"><span class="mn" id="MathJax-Span-21419" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21420"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21421" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21422"><span class="mrow" id="MathJax-Span-21423"><span class="mn" id="MathJax-Span-21424" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21425"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21426" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21427"><span class="mrow" id="MathJax-Span-21428"><span class="mn" id="MathJax-Span-21429" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21430" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21431" style="font-family: MathJax_Main; padding-left: 0.237em;">414</span><span class="msubsup" id="MathJax-Span-21432"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21433" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21434"><span class="mrow" id="MathJax-Span-21435"><span class="mn" id="MathJax-Span-21436" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21437"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21438" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21439"><span class="mrow" id="MathJax-Span-21440"><span class="mn" id="MathJax-Span-21441" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21442" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21443" style="font-family: MathJax_Main; padding-left: 0.237em;">328</span><span class="msubsup" id="MathJax-Span-21444"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21445" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21446"><span class="mrow" id="MathJax-Span-21447"><span class="mn" id="MathJax-Span-21448" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21449"><span class="mrow" id="MathJax-Span-21450"><span class="mn" id="MathJax-Span-21451" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21452"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21453" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21454"><span class="mrow" id="MathJax-Span-21455"><span class="mn" id="MathJax-Span-21456" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21457" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21458" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21459" style="font-family: MathJax_Main; padding-left: 0.237em;">756</span><span class="msubsup" id="MathJax-Span-21460"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21461" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21462"><span class="mrow" id="MathJax-Span-21463"><span class="mn" id="MathJax-Span-21464" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21465"><span class="mrow" id="MathJax-Span-21466"><span class="mn" id="MathJax-Span-21467" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21468"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21469" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21470"><span class="mrow" id="MathJax-Span-21471"><span class="mn" id="MathJax-Span-21472" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21473" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21474" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21475" style="font-family: MathJax_Main; padding-left: 0.237em;">472</span><span class="msubsup" id="MathJax-Span-21476"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21477" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21478"><span class="mrow" id="MathJax-Span-21479"><span class="mn" id="MathJax-Span-21480" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21481"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21482" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21483"><span class="mrow" id="MathJax-Span-21484"><span class="mn" id="MathJax-Span-21485" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21486" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.58em, 4.453em, -999.997em); top: 4.16em; left: 50%; margin-left: -26.285em;"><span class="mo" id="MathJax-Span-21487" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21488" style="font-family: MathJax_Main; padding-left: 0.237em;">204</span><span class="msubsup" id="MathJax-Span-21489"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21490" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21491"><span class="mrow" id="MathJax-Span-21492"><span class="mn" id="MathJax-Span-21493" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21494" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21495" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21496" style="font-family: MathJax_Main; padding-left: 0.237em;">96</span><span class="msubsup" id="MathJax-Span-21497"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21498" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21499"><span class="mrow" id="MathJax-Span-21500"><span class="mn" id="MathJax-Span-21501" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21502"><span class="mrow" id="MathJax-Span-21503"><span class="mn" id="MathJax-Span-21504" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21505"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21506" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21507"><span class="mrow" id="MathJax-Span-21508"><span class="mn" id="MathJax-Span-21509" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21510" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21511" style="font-family: MathJax_Main; padding-left: 0.237em;">216</span><span class="msubsup" id="MathJax-Span-21512"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21513" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21514"><span class="mrow" id="MathJax-Span-21515"><span class="mn" id="MathJax-Span-21516" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21517"><span class="mrow" id="MathJax-Span-21518"><span class="mn" id="MathJax-Span-21519" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21520"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21521" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21522"><span class="mrow" id="MathJax-Span-21523"><span class="mn" id="MathJax-Span-21524" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21525" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21526" style="font-family: MathJax_Main; padding-left: 0.237em;">140</span><span class="msubsup" id="MathJax-Span-21527"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21528" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21529"><span class="mrow" id="MathJax-Span-21530"><span class="mn" id="MathJax-Span-21531" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21532"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21533" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21534"><span class="mrow" id="MathJax-Span-21535"><span class="mn" id="MathJax-Span-21536" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21537" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21538" style="font-family: MathJax_Main; padding-left: 0.237em;">60</span><span class="msubsup" id="MathJax-Span-21539"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21540" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21541"><span class="mrow" id="MathJax-Span-21542"><span class="mn" id="MathJax-Span-21543" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21544" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21545" style="font-family: MathJax_Main; padding-left: 0.237em;">54</span><span class="msubsup" id="MathJax-Span-21546"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21547" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21548"><span class="mrow" id="MathJax-Span-21549"><span class="mn" id="MathJax-Span-21550" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21551"><span class="mrow" id="MathJax-Span-21552"><span class="mn" id="MathJax-Span-21553" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21554"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21555" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21556"><span class="mrow" id="MathJax-Span-21557"><span class="mn" id="MathJax-Span-21558" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21559"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21560" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21561"><span class="mrow" id="MathJax-Span-21562"><span class="mn" id="MathJax-Span-21563" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21564" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21565" style="font-family: MathJax_Main; padding-left: 0.237em;">162</span><span class="msubsup" id="MathJax-Span-21566"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21567" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21568"><span class="mrow" id="MathJax-Span-21569"><span class="mn" id="MathJax-Span-21570" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21571"><span class="mrow" id="MathJax-Span-21572"><span class="mn" id="MathJax-Span-21573" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21574"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21575" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21576"><span class="mrow" id="MathJax-Span-21577"><span class="mn" id="MathJax-Span-21578" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21579"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21580" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21581"><span class="mrow" id="MathJax-Span-21582"><span class="mn" id="MathJax-Span-21583" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21584" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21585" style="font-family: MathJax_Main; padding-left: 0.237em;">126</span><span class="msubsup" id="MathJax-Span-21586"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21587" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21588"><span class="mrow" id="MathJax-Span-21589"><span class="mn" id="MathJax-Span-21590" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21591"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21592" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21593"><span class="mrow" id="MathJax-Span-21594"><span class="mn" id="MathJax-Span-21595" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21596"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21597" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21598"><span class="mrow" id="MathJax-Span-21599"><span class="mn" id="MathJax-Span-21600" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21601" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21602" style="font-family: MathJax_Main; padding-left: 0.237em;">58</span><span class="msubsup" id="MathJax-Span-21603"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21604" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21605"><span class="mrow" id="MathJax-Span-21606"><span class="mn" id="MathJax-Span-21607" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21608"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21609" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21610"><span class="mrow" id="MathJax-Span-21611"><span class="mn" id="MathJax-Span-21612" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21613" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21614" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-21615"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21616" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21617"><span class="mrow" id="MathJax-Span-21618"><span class="mn" id="MathJax-Span-21619" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21620"><span class="mrow" id="MathJax-Span-21621"><span class="mn" id="MathJax-Span-21622" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21623"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21624" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21625"><span class="mrow" id="MathJax-Span-21626"><span class="mn" id="MathJax-Span-21627" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21628"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21629" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21630"><span class="mrow" id="MathJax-Span-21631"><span class="mn" id="MathJax-Span-21632" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21633" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21634" style="font-family: MathJax_Main; padding-left: 0.237em;">816</span><span class="msubsup" id="MathJax-Span-21635"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21636" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21637"><span class="mrow" id="MathJax-Span-21638"><span class="mn" id="MathJax-Span-21639" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21640"><span class="mrow" id="MathJax-Span-21641"><span class="mn" id="MathJax-Span-21642" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21643"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21644" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21645"><span class="mrow" id="MathJax-Span-21646"><span class="mn" id="MathJax-Span-21647" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21648"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21649" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21650"><span class="mrow" id="MathJax-Span-21651"><span class="mn" id="MathJax-Span-21652" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1056.5em, 4.453em, -999.997em); top: 5.799em; left: 50%; margin-left: -28.217em;"><span class="mo" id="MathJax-Span-21653" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21654" style="font-family: MathJax_Main; padding-left: 0.237em;">592</span><span class="msubsup" id="MathJax-Span-21655"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21656" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21657"><span class="mrow" id="MathJax-Span-21658"><span class="mn" id="MathJax-Span-21659" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21660"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21661" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21662"><span class="mrow" id="MathJax-Span-21663"><span class="mn" id="MathJax-Span-21664" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21665"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21666" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21667"><span class="mrow" id="MathJax-Span-21668"><span class="mn" id="MathJax-Span-21669" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21670" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21671" style="font-family: MathJax_Main; padding-left: 0.237em;">248</span><span class="msubsup" id="MathJax-Span-21672"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21673" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21674"><span class="mrow" id="MathJax-Span-21675"><span class="mn" id="MathJax-Span-21676" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21677"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21678" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21679"><span class="mrow" id="MathJax-Span-21680"><span class="mn" id="MathJax-Span-21681" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21682" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21683" style="font-family: MathJax_Main; padding-left: 0.237em;">558</span><span class="msubsup" id="MathJax-Span-21684"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21685" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21686"><span class="mrow" id="MathJax-Span-21687"><span class="mn" id="MathJax-Span-21688" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21689"><span class="mrow" id="MathJax-Span-21690"><span class="mn" id="MathJax-Span-21691" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21692"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21693" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21694"><span class="mrow" id="MathJax-Span-21695"><span class="mn" id="MathJax-Span-21696" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21697"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21698" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21699"><span class="mrow" id="MathJax-Span-21700"><span class="mn" id="MathJax-Span-21701" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21702" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21703" style="font-family: MathJax_Main; padding-left: 0.237em;">1284</span><span class="msubsup" id="MathJax-Span-21704"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21705" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21706"><span class="mrow" id="MathJax-Span-21707"><span class="mn" id="MathJax-Span-21708" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21709"><span class="mrow" id="MathJax-Span-21710"><span class="mn" id="MathJax-Span-21711" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21712"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21713" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21714"><span class="mrow" id="MathJax-Span-21715"><span class="mn" id="MathJax-Span-21716" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21717"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21718" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21719"><span class="mrow" id="MathJax-Span-21720"><span class="mn" id="MathJax-Span-21721" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21722" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21723" style="font-family: MathJax_Main; padding-left: 0.237em;">798</span><span class="msubsup" id="MathJax-Span-21724"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21725" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21726"><span class="mrow" id="MathJax-Span-21727"><span class="mn" id="MathJax-Span-21728" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21729"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21730" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21731"><span class="mrow" id="MathJax-Span-21732"><span class="mn" id="MathJax-Span-21733" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21734"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21735" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21736"><span class="mrow" id="MathJax-Span-21737"><span class="mn" id="MathJax-Span-21738" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21739" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21740" style="font-family: MathJax_Main; padding-left: 0.237em;">312</span><span class="msubsup" id="MathJax-Span-21741"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21742" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21743"><span class="mrow" id="MathJax-Span-21744"><span class="mn" id="MathJax-Span-21745" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21746"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21747" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21748"><span class="mrow" id="MathJax-Span-21749"><span class="mn" id="MathJax-Span-21750" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21751" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21752" style="font-family: MathJax_Main; padding-left: 0.237em;">360</span><span class="msubsup" id="MathJax-Span-21753"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21754" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21755"><span class="mrow" id="MathJax-Span-21756"><span class="mn" id="MathJax-Span-21757" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21758"><span class="mrow" id="MathJax-Span-21759"><span class="mn" id="MathJax-Span-21760" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21761"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21762" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21763"><span class="mrow" id="MathJax-Span-21764"><span class="mn" id="MathJax-Span-21765" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21766" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21767" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21768" style="font-family: MathJax_Main; padding-left: 0.237em;">700</span><span class="msubsup" id="MathJax-Span-21769"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21770" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21771"><span class="mrow" id="MathJax-Span-21772"><span class="mn" id="MathJax-Span-21773" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21774"><span class="mrow" id="MathJax-Span-21775"><span class="mn" id="MathJax-Span-21776" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21777"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21778" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21779"><span class="mrow" id="MathJax-Span-21780"><span class="mn" id="MathJax-Span-21781" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21782" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21783" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21784" style="font-family: MathJax_Main; padding-left: 0.237em;">296</span><span class="msubsup" id="MathJax-Span-21785"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21786" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21787"><span class="mrow" id="MathJax-Span-21788"><span class="mn" id="MathJax-Span-21789" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21790"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21791" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21792"><span class="mrow" id="MathJax-Span-21793"><span class="mn" id="MathJax-Span-21794" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21795" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21796" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21797" style="font-family: MathJax_Main; padding-left: 0.237em;">116</span><span class="msubsup" id="MathJax-Span-21798"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21799" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21800"><span class="mrow" id="MathJax-Span-21801"><span class="mn" id="MathJax-Span-21802" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21803" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-21804" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21805" style="font-family: MathJax_Main; padding-left: 0.237em;">100</span><span class="msubsup" id="MathJax-Span-21806"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21807" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21808"><span class="mrow" id="MathJax-Span-21809"><span class="mn" id="MathJax-Span-21810" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21811"><span class="mrow" id="MathJax-Span-21812"><span class="mn" id="MathJax-Span-21813" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21814"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21815" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21816"><span class="mrow" id="MathJax-Span-21817"><span class="mn" id="MathJax-Span-21818" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1053.81em, 4.453em, -999.997em); top: 7.38em; left: 50%; margin-left: -26.929em;"><span class="mo" id="MathJax-Span-21819" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21820" style="font-family: MathJax_Main; padding-left: 0.237em;">190</span><span class="msubsup" id="MathJax-Span-21821"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21822" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21823"><span class="mrow" id="MathJax-Span-21824"><span class="mn" id="MathJax-Span-21825" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21826"><span class="mrow" id="MathJax-Span-21827"><span class="mn" id="MathJax-Span-21828" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21829"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21830" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21831"><span class="mrow" id="MathJax-Span-21832"><span class="mn" id="MathJax-Span-21833" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21834" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21835" style="font-family: MathJax_Main; padding-left: 0.237em;">84</span><span class="msubsup" id="MathJax-Span-21836"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21837" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21838"><span class="mrow" id="MathJax-Span-21839"><span class="mn" id="MathJax-Span-21840" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-21841"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21842" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21843"><span class="mrow" id="MathJax-Span-21844"><span class="mn" id="MathJax-Span-21845" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21846" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21847" style="font-family: MathJax_Main; padding-left: 0.237em;">33</span><span class="msubsup" id="MathJax-Span-21848"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21849" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21850"><span class="mrow" id="MathJax-Span-21851"><span class="mn" id="MathJax-Span-21852" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21853" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21854" style="font-family: MathJax_Main; padding-left: 0.237em;">30</span><span class="msubsup" id="MathJax-Span-21855"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21856" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21857"><span class="mrow" id="MathJax-Span-21858"><span class="mn" id="MathJax-Span-21859" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21860"><span class="mrow" id="MathJax-Span-21861"><span class="mn" id="MathJax-Span-21862" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21863" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21864"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21865" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21866"><span class="mrow" id="MathJax-Span-21867"><span class="mn" id="MathJax-Span-21868" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21869" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21870" style="font-family: MathJax_Main; padding-left: 0.237em;">73</span><span class="msubsup" id="MathJax-Span-21871"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21872" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21873"><span class="mrow" id="MathJax-Span-21874"><span class="mn" id="MathJax-Span-21875" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21876"><span class="mrow" id="MathJax-Span-21877"><span class="mn" id="MathJax-Span-21878" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21879" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21880"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21881" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21882"><span class="mrow" id="MathJax-Span-21883"><span class="mn" id="MathJax-Span-21884" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21885" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21886" style="font-family: MathJax_Main; padding-left: 0.237em;">42</span><span class="msubsup" id="MathJax-Span-21887"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21888" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21889"><span class="mrow" id="MathJax-Span-21890"><span class="mn" id="MathJax-Span-21891" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21892" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21893"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21894" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21895"><span class="mrow" id="MathJax-Span-21896"><span class="mn" id="MathJax-Span-21897" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21898" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21899" style="font-family: MathJax_Main; padding-left: 0.237em;">19</span><span class="mi" id="MathJax-Span-21900" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21901"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21902" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21903"><span class="mrow" id="MathJax-Span-21904"><span class="mn" id="MathJax-Span-21905" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21906" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21907" style="font-family: MathJax_Main; padding-left: 0.237em;">166</span><span class="msubsup" id="MathJax-Span-21908"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21909" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21910"><span class="mrow" id="MathJax-Span-21911"><span class="mn" id="MathJax-Span-21912" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21913"><span class="mrow" id="MathJax-Span-21914"><span class="mn" id="MathJax-Span-21915" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21916" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21917"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21918" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21919"><span class="mrow" id="MathJax-Span-21920"><span class="mn" id="MathJax-Span-21921" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21922" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21923" style="font-family: MathJax_Main; padding-left: 0.237em;">370</span><span class="msubsup" id="MathJax-Span-21924"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21925" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21926"><span class="mrow" id="MathJax-Span-21927"><span class="mn" id="MathJax-Span-21928" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21929"><span class="mrow" id="MathJax-Span-21930"><span class="mn" id="MathJax-Span-21931" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21932" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21933"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21934" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21935"><span class="mrow" id="MathJax-Span-21936"><span class="mn" id="MathJax-Span-21937" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21938" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21939" style="font-family: MathJax_Main; padding-left: 0.237em;">206</span><span class="msubsup" id="MathJax-Span-21940"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21941" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21942"><span class="mrow" id="MathJax-Span-21943"><span class="mn" id="MathJax-Span-21944" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21945" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21946"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21947" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21948"><span class="mrow" id="MathJax-Span-21949"><span class="mn" id="MathJax-Span-21950" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21951" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21952" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="mi" id="MathJax-Span-21953" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21954"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21955" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21956"><span class="mrow" id="MathJax-Span-21957"><span class="mn" id="MathJax-Span-21958" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21959" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21960" style="font-family: MathJax_Main; padding-left: 0.237em;">282</span><span class="msubsup" id="MathJax-Span-21961"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21962" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21963"><span class="mrow" id="MathJax-Span-21964"><span class="mn" id="MathJax-Span-21965" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21966"><span class="mrow" id="MathJax-Span-21967"><span class="mn" id="MathJax-Span-21968" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21969" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21970"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21971" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21972"><span class="mrow" id="MathJax-Span-21973"><span class="mn" id="MathJax-Span-21974" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1052.52em, 4.453em, -999.997em); top: 9.019em; left: 50%; margin-left: -26.285em;"><span class="mo" id="MathJax-Span-21975" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-21976" style="font-family: MathJax_Main; padding-left: 0.237em;">549</span><span class="msubsup" id="MathJax-Span-21977"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21978" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21979"><span class="mrow" id="MathJax-Span-21980"><span class="mn" id="MathJax-Span-21981" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21982"><span class="mrow" id="MathJax-Span-21983"><span class="mn" id="MathJax-Span-21984" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21985" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21986"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21987" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21988"><span class="mrow" id="MathJax-Span-21989"><span class="mn" id="MathJax-Span-21990" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-21991" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-21992" style="font-family: MathJax_Main; padding-left: 0.237em;">228</span><span class="msubsup" id="MathJax-Span-21993"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-21994" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-21995"><span class="mrow" id="MathJax-Span-21996"><span class="mn" id="MathJax-Span-21997" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-21998" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-21999"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22000" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22001"><span class="mrow" id="MathJax-Span-22002"><span class="mn" id="MathJax-Span-22003" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22004" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22005" style="font-family: MathJax_Main; padding-left: 0.237em;">81</span><span class="mi" id="MathJax-Span-22006" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-22007"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22008" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22009"><span class="mrow" id="MathJax-Span-22010"><span class="mn" id="MathJax-Span-22011" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22012" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22013" style="font-family: MathJax_Main; padding-left: 0.237em;">172</span><span class="msubsup" id="MathJax-Span-22014"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22015" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22016"><span class="mrow" id="MathJax-Span-22017"><span class="mn" id="MathJax-Span-22018" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22019"><span class="mrow" id="MathJax-Span-22020"><span class="mn" id="MathJax-Span-22021" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22022" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-22023" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22024" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22025" style="font-family: MathJax_Main; padding-left: 0.237em;">258</span><span class="msubsup" id="MathJax-Span-22026"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22027" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22028"><span class="mrow" id="MathJax-Span-22029"><span class="mn" id="MathJax-Span-22030" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22031"><span class="mrow" id="MathJax-Span-22032"><span class="mn" id="MathJax-Span-22033" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22034" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-22035" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22036" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22037" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-22038"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22039" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22040"><span class="mrow" id="MathJax-Span-22041"><span class="mn" id="MathJax-Span-22042" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22043" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-22044" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22045" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22046" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-22047"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22048" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22049"><span class="mrow" id="MathJax-Span-22050"><span class="mn" id="MathJax-Span-22051" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22052"><span class="mrow" id="MathJax-Span-22053"><span class="mn" id="MathJax-Span-22054" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22055" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22056" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22057" style="font-family: MathJax_Main; padding-left: 0.237em;">66</span><span class="msubsup" id="MathJax-Span-22058"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22059" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22060"><span class="mrow" id="MathJax-Span-22061"><span class="mn" id="MathJax-Span-22062" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22063"><span class="mrow" id="MathJax-Span-22064"><span class="mn" id="MathJax-Span-22065" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22066" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22067" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22068" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msubsup" id="MathJax-Span-22069"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22070" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22071"><span class="mrow" id="MathJax-Span-22072"><span class="mn" id="MathJax-Span-22073" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22074"><span class="mrow" id="MathJax-Span-22075"><span class="mn" id="MathJax-Span-22076" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22077"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22078" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22079"><span class="mrow" id="MathJax-Span-22080"><span class="mn" id="MathJax-Span-22081" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22082" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22083" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-22084"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22085" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22086"><span class="mrow" id="MathJax-Span-22087"><span class="mn" id="MathJax-Span-22088" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22089"><span class="mrow" id="MathJax-Span-22090"><span class="mn" id="MathJax-Span-22091" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22092"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22093" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22094"><span class="mrow" id="MathJax-Span-22095"><span class="mn" id="MathJax-Span-22096" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22097" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22098" style="font-family: MathJax_Main; padding-left: 0.237em;">9</span><span class="msubsup" id="MathJax-Span-22099"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22100" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22101"><span class="mrow" id="MathJax-Span-22102"><span class="mn" id="MathJax-Span-22103" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22104"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22105" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22106"><span class="mrow" id="MathJax-Span-22107"><span class="mn" id="MathJax-Span-22108" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22109" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22110" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-22111"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22112" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22113"><span class="mrow" id="MathJax-Span-22114"><span class="mn" id="MathJax-Span-22115" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22116" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22117" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-22118"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22119" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22120"><span class="mrow" id="MathJax-Span-22121"><span class="mn" id="MathJax-Span-22122" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22123"><span class="mrow" id="MathJax-Span-22124"><span class="mn" id="MathJax-Span-22125" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22126"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22127" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22128"><span class="mrow" id="MathJax-Span-22129"><span class="mn" id="MathJax-Span-22130" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1044.38em, 4.453em, -999.997em); top: 10.659em; left: 50%; margin-left: -22.187em;"><span class="mo" id="MathJax-Span-22131" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-22132" style="font-family: MathJax_Main; padding-left: 0.237em;">82</span><span class="msubsup" id="MathJax-Span-22133"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22134" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22135"><span class="mrow" id="MathJax-Span-22136"><span class="mn" id="MathJax-Span-22137" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22138"><span class="mrow" id="MathJax-Span-22139"><span class="mn" id="MathJax-Span-22140" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22141"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22142" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22143"><span class="mrow" id="MathJax-Span-22144"><span class="mn" id="MathJax-Span-22145" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22146" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22147" style="font-family: MathJax_Main; padding-left: 0.237em;">46</span><span class="msubsup" id="MathJax-Span-22148"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22149" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22150"><span class="mrow" id="MathJax-Span-22151"><span class="mn" id="MathJax-Span-22152" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22153"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22154" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22155"><span class="mrow" id="MathJax-Span-22156"><span class="mn" id="MathJax-Span-22157" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22158" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22159" style="font-family: MathJax_Main; padding-left: 0.237em;">18</span><span class="msubsup" id="MathJax-Span-22160"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22161" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22162"><span class="mrow" id="MathJax-Span-22163"><span class="mn" id="MathJax-Span-22164" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22165" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22166" style="font-family: MathJax_Main; padding-left: 0.237em;">63</span><span class="msubsup" id="MathJax-Span-22167"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22168" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22169"><span class="mrow" id="MathJax-Span-22170"><span class="mn" id="MathJax-Span-22171" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22172"><span class="mrow" id="MathJax-Span-22173"><span class="mn" id="MathJax-Span-22174" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22175"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22176" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22177"><span class="mrow" id="MathJax-Span-22178"><span class="mn" id="MathJax-Span-22179" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22180" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22181" style="font-family: MathJax_Main; padding-left: 0.237em;">120</span><span class="msubsup" id="MathJax-Span-22182"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22183" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22184"><span class="mrow" id="MathJax-Span-22185"><span class="mn" id="MathJax-Span-22186" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22187"><span class="mrow" id="MathJax-Span-22188"><span class="mn" id="MathJax-Span-22189" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22190"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22191" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22192"><span class="mrow" id="MathJax-Span-22193"><span class="mn" id="MathJax-Span-22194" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22195" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22196" style="font-family: MathJax_Main; padding-left: 0.237em;">51</span><span class="msubsup" id="MathJax-Span-22197"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22198" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22199"><span class="mrow" id="MathJax-Span-22200"><span class="mn" id="MathJax-Span-22201" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22202"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22203" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22204"><span class="mrow" id="MathJax-Span-22205"><span class="mn" id="MathJax-Span-22206" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22207" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22208" style="font-family: MathJax_Main; padding-left: 0.237em;">17</span><span class="msubsup" id="MathJax-Span-22209"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22210" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22211"><span class="mrow" id="MathJax-Span-22212"><span class="mn" id="MathJax-Span-22213" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22214" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22215" style="font-family: MathJax_Main; padding-left: 0.237em;">38</span><span class="msubsup" id="MathJax-Span-22216"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22217" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22218"><span class="mrow" id="MathJax-Span-22219"><span class="mn" id="MathJax-Span-22220" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22221"><span class="mrow" id="MathJax-Span-22222"><span class="mn" id="MathJax-Span-22223" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22224" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22225" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22226" style="font-family: MathJax_Main; padding-left: 0.237em;">56</span><span class="msubsup" id="MathJax-Span-22227"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22228" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22229"><span class="mrow" id="MathJax-Span-22230"><span class="mn" id="MathJax-Span-22231" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22232"><span class="mrow" id="MathJax-Span-22233"><span class="mn" id="MathJax-Span-22234" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22235" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22236" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22237" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-22238"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22239" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22240"><span class="mrow" id="MathJax-Span-22241"><span class="mn" id="MathJax-Span-22242" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22243" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-22244" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22245" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-22246"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22247" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22248"><span class="mrow" id="MathJax-Span-22249"><span class="mn" id="MathJax-Span-22250" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22251"><span class="mrow" id="MathJax-Span-22252"><span class="mn" id="MathJax-Span-22253" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22254" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22255" style="font-family: MathJax_Main; padding-left: 0.237em;">14</span><span class="msubsup" id="MathJax-Span-22256"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22257" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22258"><span class="mrow" id="MathJax-Span-22259"><span class="mn" id="MathJax-Span-22260" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.686em; left: 0.53em;"><span class="texatom" id="MathJax-Span-22261"><span class="mrow" id="MathJax-Span-22262"><span class="mn" id="MathJax-Span-22263" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 16.865em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -18.282em; border-left: 0px solid; width: 0px; height: 19.432em;"></span></span></nobr><span class="MJX_Assistive_MathML 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class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>9</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>38</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>82</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>46</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>18</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>63</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>120</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>51</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>17</mn><msup><mi>z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>38</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><mi>z</mi><mo>+</mo><mn>56</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup><mi>z</mi><mo>+</mo><mn>2</mn><msub><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mi>z</mi><mo>+</mo><mn>10</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msubsup><mo>+</mo><mn>14</mn><msubsup><mi>a</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-222"> 0 \le 11 a_{1}^{2} y^{5} z^{4}+16 a_{1} y^{5} z^{4}+9 y^{5} z^{4}+10 a_{1}^{3} y^{5} z^{3}+62 a_{1}^{2} y^{5} z^{3}+74 a_{1} y^{5} z^{3}+38 y^{5} z^{3}+30 a_{1}^{3} y^{5} z^{2}+117 a_{1}^{2} y^{5} z^{2}+120 a_{1} y^{5} z^{2}+57 y^{5} z^{2}+24 a_{1}^{3} y^{5} z+78 a_{1}^{2} y^{5} z+72 a_{1} y^{5} z+34 y^{5} z+8 a_{1}^{3} y^{5}+24 a_{1}^{2} y^{5}+22 a_{1} y^{5}+10 y^{5}+9 a_{1}^{3} y^{4} z^{4}+64 a_{1}^{2} y^{4} z^{4}+75 a_{1} y^{4} z^{4}+40 y^{4} z^{4}+86 a_{1}^{3} y^{4} z^{3}+346 a_{1}^{2} y^{4} z^{3}+350 a_{1} y^{4} z^{3}+170 y^{4} z^{3}+195 a_{1}^{3} y^{4} z^{2}+612 a_{1}^{2} y^{4} z^{2}+543 a_{1} y^{4} z^{2}+246 y^{4} z^{2}+142 a_{1}^{3} y^{4} z+384 a_{1}^{2} y^{4} z+298 a_{1} y^{4} z+136 y^{4} z+44 a_{1}^{3} y^{4}+114 a_{1}^{2} y^{4}+90 a_{1} y^{4}+40 y^{4}+36 a_{1}^{3} y^{3} z^{4}+146 a_{1}^{2} y^{3} z^{4}+140 a_{1} y^{3} z^{4}+70 y^{3} z^{4}+244 a_{1}^{3} y^{3} z^{3}+764 a_{1}^{2} y^{3} z^{3}+660 a_{1} y^{3} z^{3}+300 y^{3} z^{3}+480 a_{1}^{3} y^{3} z^{2}+1278 a_{1}^{2} y^{3} z^{2}+972 a_{1} y^{3} z^{2}+414 y^{3} z^{2}+328 a_{1}^{3} y^{3} z+756 a_{1}^{2} y^{3} z+472 a_{1} y^{3} z+204 y^{3} z+96 a_{1}^{3} y^{3}+216 a_{1}^{2} y^{3}+140 a_{1} y^{3}+60 y^{3}+54 a_{1}^{3} y^{2} z^{4}+162 a_{1}^{2} y^{2} z^{4}+126 a_{1} y^{2} z^{4}+58 y^{2} z^{4}+312 a_{1}^{3} y^{2} z^{3}+816 a_{1}^{2} y^{2} z^{3}+592 a_{1} y^{2} z^{3}+248 y^{2} z^{3}+558 a_{1}^{3} y^{2} z^{2}+1284 a_{1}^{2} y^{2} z^{2}+798 a_{1} y^{2} z^{2}+312 y^{2} z^{2}+360 a_{1}^{3} y^{2} z+700 a_{1}^{2} y^{2} z+296 a_{1} y^{2} z+116 y^{2} z+100 a_{1}^{3} y^{2}+190 a_{1}^{2} y^{2}+84 a_{1} y^{2}+33 y^{2}+30 a_{1}^{3} y z^{4}+73 a_{1}^{2} y z^{4}+42 a_{1} y z^{4}+19 y z^{4}+166 a_{1}^{3} y z^{3}+370 a_{1}^{2} y z^{3}+206 a_{1} y z^{3}+82 y z^{3}+282 a_{1}^{3} y z^{2}+549 a_{1}^{2} y z^{2}+228 a_{1} y z^{2}+81 y z^{2}+172 a_{1}^{3} y z+258 a_{1}^{2} y z+4 a_{1} y z+46 a_{1}^{3} y+66 a_{1}^{2} y+7 a_{1}^{3} z^{4}+16 a_{1}^{2} z^{4}+9 a_{1} z^{4}+4 z^{4}+38 a_{1}^{3} z^{3}+82 a_{1}^{2} z^{3}+46 a_{1} z^{3}+18 z^{3}+63 a_{1}^{3} z^{2}+120 a_{1}^{2} z^{2}+51 a_{1} z^{2}+17 z^{2}+38 a_{1}^{3} z+56 a_{1}^{2} z+2 a_{1} z+10 a_{1}^{3}+14 a_{1}^{2} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[23]:</div>
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<pre>Counter({0: 8})</pre>
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<p>Now let's take a look at slightly another kind of the problem.</p>
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<h4 id="Problem">Problem<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem">¶</a></h4><p>Let <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-223-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><msup><mi>R</mi><mn>3</mn></msup><mo stretchy="false">&#x2192;</mo><mi>R</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22264" style="width: 6.033em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.921em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1004.92em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22265"><span class="mi" id="MathJax-Span-22266" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22267" style="font-family: MathJax_Main; padding-left: 0.296em;">:</span><span class="msubsup" id="MathJax-Span-22268" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22269" style="font-family: MathJax_Math; font-style: italic;">R</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.764em;"><span class="mn" id="MathJax-Span-22270" style="font-size: 70.7%; font-family: MathJax_Main;">3</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22271" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-22272" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">R</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><msup><mi>R</mi><mn>3</mn></msup><mo stretchy="false">→</mo><mi>R</mi></math></span></span><script type="math/tex" id="MathJax-Element-223">f:R^3\to R</script> be a convex function. Prove that
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-224-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>f</mi><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo stretchy="false">)</mo><mo>&#x2264;</mo><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>.</mo></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22273" style="width: 38.352em; display: inline-block;"><span style="display: inline-block; position: relative; width: 31.443em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1031.38em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22274"><span class="mi" id="MathJax-Span-22275" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22276" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22277" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22278" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22279" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span><span class="mo" id="MathJax-Span-22280" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22281" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22282" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22283" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22284" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22285" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22286" style="font-family: MathJax_Main;">2</span><span class="mo" id="MathJax-Span-22287" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22288" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22289" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22290" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-22291" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22292" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22293" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22294" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22295" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22296" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22297" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-22298" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22299" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span><span class="mo" id="MathJax-Span-22300" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22301" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mi" id="MathJax-Span-22302" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22303" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22304" style="font-family: MathJax_Main;">4</span><span class="mo" id="MathJax-Span-22305" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22306" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22307" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22308" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22309" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22310" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22311" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22312" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22313" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22314" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22315" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22316" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22317" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22318" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22319" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22320" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22321" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22322" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22323" style="font-family: MathJax_Main;">(</span><span class="mo" id="MathJax-Span-22324" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-22325" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22326" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22327" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22328" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22329" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22330" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22331" style="font-family: MathJax_Main;">.</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>f</mi><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo stretchy="false">)</mo><mo>≤</mo><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mi>f</mi><mo stretchy="false">(</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>.</mo></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-224">f(1,2,3)+f(2,3,1)+f(3,1,2)\le f(4,3,-1)+f(3,-1,4)+f(-1,4,3).</script></p>
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<p>To create a proof, we will use <code>provef</code> function. It assumes that <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-225-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22332" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1000.53em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22333"><span class="mi" id="MathJax-Span-22334" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-225">f</script> is convex and nonnegative, then it tries to find a proof. However, if the last inequality is <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-226-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22335" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22336"><span class="mn" id="MathJax-Span-22337" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-22338" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-22339" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span><script type="math/tex" id="MathJax-Element-226">0\le 0</script>, then the proof works for any convex function.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">provef</span><span class="p">(</span><span class="s1">'(-f(1,2,3)-f(2,3,1)-f(3,1,2)+f(4,3,-1)+f(3,-1,4)+f(-1,4,3))*21'</span><span class="p">)</span>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-227-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow><mo>&#x2212;</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow><mo>&#x2212;</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow><mo>+</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn></mrow><mo>)</mo></mrow></mrow><mo>&#x2212;</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow><mo>)</mo></mrow></mrow><mo>+</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22340" style="width: 45.261em; display: inline-block;"><span style="display: inline-block; position: relative; width: 37.064em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1036.95em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22341"><span class="mn" id="MathJax-Span-22342" style="font-family: MathJax_Main;">21</span><span class="mi" id="MathJax-Span-22343" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22344"><span class="mrow" id="MathJax-Span-22345"><span class="mrow" id="MathJax-Span-22346"><span class="mo" id="MathJax-Span-22347" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22348"><span class="mo" id="MathJax-Span-22349" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-22350" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22351" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22352" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22353" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22354" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span></span><span class="mo" id="MathJax-Span-22355" style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-22356" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-22357" style="font-family: MathJax_Main; padding-left: 0.237em;">21</span><span class="mi" id="MathJax-Span-22358" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22359"><span class="mrow" id="MathJax-Span-22360"><span class="mrow" id="MathJax-Span-22361"><span class="mo" id="MathJax-Span-22362" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22363"><span class="mn" id="MathJax-Span-22364" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22365" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22366" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span><span class="mo" id="MathJax-Span-22367" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22368" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span></span><span class="mo" id="MathJax-Span-22369" style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-22370" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-22371" style="font-family: MathJax_Main; padding-left: 0.237em;">21</span><span class="mi" id="MathJax-Span-22372" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22373"><span class="mrow" id="MathJax-Span-22374"><span class="mrow" id="MathJax-Span-22375"><span class="mo" id="MathJax-Span-22376" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22377"><span class="mn" id="MathJax-Span-22378" style="font-family: MathJax_Main;">2</span><span class="mo" id="MathJax-Span-22379" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22380" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22381" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22382" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span></span><span class="mo" id="MathJax-Span-22383" style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-22384" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22385" style="font-family: MathJax_Main; padding-left: 0.237em;">21</span><span class="mi" id="MathJax-Span-22386" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22387"><span class="mrow" id="MathJax-Span-22388"><span class="mrow" id="MathJax-Span-22389"><span class="mo" id="MathJax-Span-22390" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22391"><span class="mn" id="MathJax-Span-22392" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22393" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22394" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22395" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22396" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22397" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span></span><span class="mo" id="MathJax-Span-22398" style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-22399" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-22400" style="font-family: MathJax_Main; padding-left: 0.237em;">21</span><span class="mi" id="MathJax-Span-22401" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22402"><span class="mrow" id="MathJax-Span-22403"><span class="mrow" id="MathJax-Span-22404"><span class="mo" id="MathJax-Span-22405" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22406"><span class="mn" id="MathJax-Span-22407" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22408" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22409" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-22410" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22411" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span></span><span class="mo" id="MathJax-Span-22412" style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-22413" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22414" style="font-family: MathJax_Main; padding-left: 0.237em;">21</span><span class="mi" id="MathJax-Span-22415" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="texatom" id="MathJax-Span-22416"><span class="mrow" id="MathJax-Span-22417"><span class="mrow" id="MathJax-Span-22418"><span class="mo" id="MathJax-Span-22419" style="font-family: MathJax_Main;">(</span><span class="mrow" id="MathJax-Span-22420"><span class="mn" id="MathJax-Span-22421" style="font-family: MathJax_Main;">4</span><span class="mo" id="MathJax-Span-22422" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22423" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22424" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22425" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22426" style="font-family: MathJax_Main;">1</span></span><span class="mo" id="MathJax-Span-22427" style="font-family: MathJax_Main;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow><mo>−</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow><mo>−</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow><mo>+</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn></mrow><mo>)</mo></mrow></mrow><mo>−</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow><mo>)</mo></mrow></mrow><mo>+</mo><mn>21</mn><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mrow><mo>(</mo><mrow><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow></math></span></span><script type="math/tex" id="MathJax-Element-227">21 f{\left(-1,4,3 \right)} - 21 f{\left(1,2,3 \right)} - 21 f{\left(2,3,1 \right)} + 21 f{\left(3,-1,4 \right)} - 21 f{\left(3,1,2 \right)} + 21 f{\left(4,3,-1 \right)}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-228-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22428" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1000.47em, 2.345em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22429"><span class="mn" id="MathJax-Span-22430" style="font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></span></span><script type="math/tex" id="MathJax-Element-228">1</script>
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From Jensen inequality:
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-229-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>&#x2264;</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22431" style="width: 29.511em; display: inline-block;"><span style="display: inline-block; position: relative; width: 24.183em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1024.07em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22432"><span class="mn" id="MathJax-Span-22433" style="font-family: MathJax_Main;">21</span><span class="mi" id="MathJax-Span-22434" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22435" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22436" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22437" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22438" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span><span class="mo" id="MathJax-Span-22439" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22440" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22441" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22442" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-22443" style="font-family: MathJax_Main; padding-left: 0.296em;">11</span><span class="mi" id="MathJax-Span-22444" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22445" style="font-family: MathJax_Main;">(</span><span class="mo" id="MathJax-Span-22446" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-22447" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22448" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22449" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22450" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22451" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22452" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22453" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22454" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-22455" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22456" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22457" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22458" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22459" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22460" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22461" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22462" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22463" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22464" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22465" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-22466" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22467" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22468" style="font-family: MathJax_Main;">4</span><span class="mo" id="MathJax-Span-22469" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22470" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22471" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22472" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22473" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22474" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>≤</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-229">21f(1, 2, 3) \le 11f(-1, 4, 3)+8f(3, -1, 4)+2f(4, 3, -1)</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-230-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo><mo>&#x2264;</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22475" style="width: 29.511em; display: inline-block;"><span style="display: inline-block; position: relative; width: 24.183em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1024.07em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22476"><span class="mn" id="MathJax-Span-22477" style="font-family: MathJax_Main;">21</span><span class="mi" id="MathJax-Span-22478" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22479" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22480" style="font-family: MathJax_Main;">2</span><span class="mo" id="MathJax-Span-22481" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22482" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22483" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22484" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-22485" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22486" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-22487" style="font-family: MathJax_Main; padding-left: 0.296em;">8</span><span class="mi" id="MathJax-Span-22488" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22489" style="font-family: MathJax_Main;">(</span><span class="mo" id="MathJax-Span-22490" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-22491" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22492" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22493" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22494" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22495" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22496" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22497" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22498" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-22499" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22500" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22501" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22502" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22503" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22504" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22505" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22506" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22507" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22508" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22509" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="mi" id="MathJax-Span-22510" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22511" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22512" style="font-family: MathJax_Main;">4</span><span class="mo" id="MathJax-Span-22513" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22514" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22515" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22516" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22517" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22518" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo><mo>≤</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-230">21f(2, 3, 1) \le 8f(-1, 4, 3)+2f(3, -1, 4)+11f(4, 3, -1)</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-231-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo stretchy="false">)</mo><mo>&#x2264;</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22519" style="width: 29.511em; display: inline-block;"><span style="display: inline-block; position: relative; width: 24.183em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1024.07em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22520"><span class="mn" id="MathJax-Span-22521" style="font-family: MathJax_Main;">21</span><span class="mi" id="MathJax-Span-22522" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22523" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22524" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22525" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22526" style="font-family: MathJax_Main; padding-left: 0.179em;">1</span><span class="mo" id="MathJax-Span-22527" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22528" style="font-family: MathJax_Main; padding-left: 0.179em;">2</span><span class="mo" id="MathJax-Span-22529" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22530" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-22531" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="mi" id="MathJax-Span-22532" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22533" style="font-family: MathJax_Main;">(</span><span class="mo" id="MathJax-Span-22534" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-22535" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22536" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22537" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22538" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22539" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22540" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22541" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22542" style="font-family: MathJax_Main; padding-left: 0.237em;">11</span><span class="mi" id="MathJax-Span-22543" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22544" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22545" style="font-family: MathJax_Main;">3</span><span class="mo" id="MathJax-Span-22546" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22547" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22548" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22549" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22550" style="font-family: MathJax_Main; padding-left: 0.179em;">4</span><span class="mo" id="MathJax-Span-22551" style="font-family: MathJax_Main;">)</span><span class="mo" id="MathJax-Span-22552" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22553" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-22554" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-22555" style="font-family: MathJax_Main;">(</span><span class="mn" id="MathJax-Span-22556" style="font-family: MathJax_Main;">4</span><span class="mo" id="MathJax-Span-22557" style="font-family: MathJax_Main;">,</span><span class="mn" id="MathJax-Span-22558" style="font-family: MathJax_Main; padding-left: 0.179em;">3</span><span class="mo" id="MathJax-Span-22559" style="font-family: MathJax_Main;">,</span><span class="mo" id="MathJax-Span-22560" style="font-family: MathJax_Main; padding-left: 0.179em;">−</span><span class="mn" id="MathJax-Span-22561" style="font-family: MathJax_Main;">1</span><span class="mo" id="MathJax-Span-22562" style="font-family: MathJax_Main;">)</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>21</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo stretchy="false">)</mo><mo>≤</mo><mn>2</mn><mi>f</mi><mo stretchy="false">(</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo stretchy="false">)</mo><mo>+</mo><mn>11</mn><mi>f</mi><mo stretchy="false">(</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo stretchy="false">)</mo><mo>+</mo><mn>8</mn><mi>f</mi><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-231">21f(3, 1, 2) \le 2f(-1, 4, 3)+11f(3, -1, 4)+8f(4, 3, -1)</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-232-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>0</mn></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22563" style="width: 2.872em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1002.29em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22564"><span class="mn" id="MathJax-Span-22565" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-22566" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-22567" style="font-family: MathJax_Main; padding-left: 0.296em;">0</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>0</mn></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-232"> 0 \le 0 </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[24]:</div>
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<pre>0</pre>
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<p>Let's try to solve problem 6 from the finals of LXIII Polish Mathematical Olympiad. It was one of the hardest inequality in the history of this contest, solved only by 3 finalists.</p>
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<h4 id="Problem">Problem<a class="anchor-link" href="http://localhost:8888/nbconvert/html/shiroindev/examples.ipynb?download=false#Problem">¶</a></h4><p>Prove the inequality
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-233-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mrow><mo>(</mo><mfrac><mrow><mi>a</mi><mo>&#x2212;</mo><mi>b</mi></mrow><mi>c</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>+</mo><msup><mrow><mo>(</mo><mfrac><mrow><mi>b</mi><mo>&#x2212;</mo><mi>c</mi></mrow><mi>a</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>+</mo><msup><mrow><mo>(</mo><mfrac><mrow><mi>c</mi><mo>&#x2212;</mo><mi>a</mi></mrow><mi>b</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>&#x2265;</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mrow><mo>(</mo><mrow><mfrac><mrow><mi>a</mi><mo>&#x2212;</mo><mi>b</mi></mrow><mi>c</mi></mfrac><mo>+</mo><mfrac><mrow><mi>b</mi><mo>&#x2212;</mo><mi>c</mi></mrow><mi>a</mi></mfrac><mo>+</mo><mfrac><mrow><mi>c</mi><mo>&#x2212;</mo><mi>a</mi></mrow><mi>b</mi></mfrac></mrow><mo>)</mo></mrow></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22568" style="width: 37.591em; display: inline-block;"><span style="display: inline-block; position: relative; width: 30.799em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.584em, 1030.57em, 4.511em, -999.997em); top: -3.393em; left: 0em;"><span class="mrow" id="MathJax-Span-22569"><span class="msubsup" id="MathJax-Span-22570"><span style="display: inline-block; position: relative; width: 4.453em; height: 0px;"><span style="position: absolute; clip: rect(2.345em, 1003.81em, 5.097em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-22571"><span class="mo" id="MathJax-Span-22572" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mfrac" id="MathJax-Span-22573"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-22574"><span class="mi" id="MathJax-Span-22575" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22576" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22577" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-22578" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-22579" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">)</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -5.149em; left: 4.043em;"><span class="mn" id="MathJax-Span-22580" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22581" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-22582" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 4.394em; height: 0px;"><span style="position: absolute; clip: rect(2.345em, 1003.75em, 5.097em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-22583"><span class="mo" id="MathJax-Span-22584" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mfrac" id="MathJax-Span-22585"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1002.11em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.051em;"><span class="mrow" id="MathJax-Span-22586"><span class="mi" id="MathJax-Span-22587" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-22588" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22589" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-22590" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.23em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.228em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-22591" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">)</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -5.149em; left: 3.926em;"><span class="mn" id="MathJax-Span-22592" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22593" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-22594" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 4.453em; height: 0px;"><span style="position: absolute; clip: rect(2.345em, 1003.87em, 5.097em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-22595"><span class="mo" id="MathJax-Span-22596" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mfrac" id="MathJax-Span-22597"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.223em, 1002.17em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-22598"><span class="mi" id="MathJax-Span-22599" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-22600" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22601" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-22602" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-22603" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">)</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -5.149em; left: 4.043em;"><span class="mn" id="MathJax-Span-22604" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22605" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mn" id="MathJax-Span-22606" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msqrt" id="MathJax-Span-22607"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22608"><span class="mn" id="MathJax-Span-22609" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mrow" id="MathJax-Span-22610" style="padding-left: 0.179em;"><span class="mo" id="MathJax-Span-22611" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mrow" id="MathJax-Span-22612"><span class="mfrac" id="MathJax-Span-22613"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1002.23em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-22614"><span class="mi" id="MathJax-Span-22615" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22616" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22617" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">b</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-22618" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-22619" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-22620" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1002.11em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.051em;"><span class="mrow" id="MathJax-Span-22621"><span class="mi" id="MathJax-Span-22622" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-22623" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22624" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">c</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.53em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-22625" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.23em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.228em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mo" id="MathJax-Span-22626" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mfrac" id="MathJax-Span-22627" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.345em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.223em, 1002.17em, 4.218em, -999.997em); top: -4.681em; left: 50%; margin-left: -1.109em;"><span class="mrow" id="MathJax-Span-22628"><span class="mi" id="MathJax-Span-22629" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-22630" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mi" id="MathJax-Span-22631" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">a</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-22632" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1002.35em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 2.345em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span><span class="mo" id="MathJax-Span-22633" style="vertical-align: 0em;"><span style="font-family: MathJax_Size3;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 3.399em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.211em; border-left: 0px solid; width: 0px; height: 3.289em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><msup><mrow><mo>(</mo><mfrac><mrow><mi>a</mi><mo>−</mo><mi>b</mi></mrow><mi>c</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>+</mo><msup><mrow><mo>(</mo><mfrac><mrow><mi>b</mi><mo>−</mo><mi>c</mi></mrow><mi>a</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>+</mo><msup><mrow><mo>(</mo><mfrac><mrow><mi>c</mi><mo>−</mo><mi>a</mi></mrow><mi>b</mi></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo>≥</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mrow><mo>(</mo><mrow><mfrac><mrow><mi>a</mi><mo>−</mo><mi>b</mi></mrow><mi>c</mi></mfrac><mo>+</mo><mfrac><mrow><mi>b</mi><mo>−</mo><mi>c</mi></mrow><mi>a</mi></mfrac><mo>+</mo><mfrac><mrow><mi>c</mi><mo>−</mo><mi>a</mi></mrow><mi>b</mi></mfrac></mrow><mo>)</mo></mrow></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-233">\left(\frac{a - b}{c}\right)^2 + \left(\frac{b - c}{a}\right)^2 + \left(\frac{c - a}{b}\right)^2\ge 2 \sqrt{2} \left(\frac{a - b}{c} + \frac{b - c}{a}+ \frac{c-a}{b}\right)</script>
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for any positive numbers <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-234-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22634" style="width: 2.813em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1002.29em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22635"><span class="mi" id="MathJax-Span-22636" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22637" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-22638" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">b</span><span class="mo" id="MathJax-Span-22639" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-22640" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-234">a,b,c</script>.</p>
|
||
<p>The first observation is that the formula is cyclic, so without loss of generality we may assume that <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-235-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>b</mi><mo>,</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22641" style="width: 3.926em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.223em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1003.22em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22642"><span class="mi" id="MathJax-Span-22643" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22644" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22645" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-22646" style="font-family: MathJax_Main;">,</span><span class="mi" id="MathJax-Span-22647" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.179em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>b</mi><mo>,</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-235">a\ge b,c</script>. We can go a step further and divide it into two cases: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-236-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>b</mi><mo>&#x2265;</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22648" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22649"><span class="mi" id="MathJax-Span-22650" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22651" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22652" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-22653" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22654" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>b</mi><mo>≥</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-236">a\ge b\ge c</script> and <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-237-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>c</mi><mo>&#x2265;</mo><mi>b</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22655" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22656"><span class="mi" id="MathJax-Span-22657" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22658" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22659" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-22660" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22661" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>c</mi><mo>≥</mo><mi>b</mi></math></span></span><script type="math/tex" id="MathJax-Element-237">a\ge c\ge b</script>.</p>
|
||
|
||
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|
||
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|
||
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|
||
<div class="cell border-box-sizing code_cell rendered">
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||
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||
<div class="prompt input_prompt">In [25]:</div>
|
||
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|
||
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||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">shiro</span><span class="o">.</span><span class="n">display</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span><span class="kc">None</span> <span class="c1">#turn off printing of proofs</span>
|
||
<span class="n">newproof</span><span class="p">()</span>
|
||
<span class="n">formula</span><span class="o">=</span><span class="n">cyclize</span><span class="p">(</span><span class="s1">'((a-b)/c)^2-2*sqrt(2)*(a-b)/c'</span><span class="p">)</span>
|
||
</pre></div>
|
||
|
||
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|
||
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|
||
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|
||
|
||
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|
||
<div class="cell border-box-sizing code_cell rendered">
|
||
<div class="input">
|
||
<div class="prompt input_prompt">In [26]:</div>
|
||
<div class="inner_cell">
|
||
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|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">formula1</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[b,oo],[c,oo]'</span><span class="p">,</span><span class="n">variables</span><span class="o">=</span><span class="s1">'a,b'</span><span class="p">)</span> <span class="c1">#a>=b>=c</span>
|
||
<span class="n">prove</span><span class="p">(</span><span class="n">formula1</span><span class="p">)</span>
|
||
</pre></div>
|
||
|
||
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|
||
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|
||
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|
||
|
||
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||
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|
||
|
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<div class="prompt output_prompt">Out[26]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>2</pre>
|
||
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|
||
|
||
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|
||
|
||
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|
||
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|
||
|
||
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|
||
<div class="cell border-box-sizing code_cell rendered">
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||
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|
||
<div class="prompt input_prompt">In [27]:</div>
|
||
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|
||
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|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">formula2</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[c,oo],[b,oo]'</span><span class="p">,</span><span class="n">variables</span><span class="o">=</span><span class="s1">'a,c'</span><span class="p">)</span> <span class="c1">#a>=c>=b</span>
|
||
<span class="n">prove</span><span class="p">(</span><span class="n">formula2</span><span class="p">)</span>
|
||
</pre></div>
|
||
|
||
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|
||
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|
||
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|
||
|
||
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||
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|
||
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||
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|
||
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||
<div class="prompt output_prompt">Out[27]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>0</pre>
|
||
</div>
|
||
|
||
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|
||
|
||
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|
||
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|
||
|
||
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|
||
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
|
||
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||
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|
||
<p>So the case <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-238-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>c</mi><mo>&#x2265;</mo><mi>b</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22662" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22663"><span class="mi" id="MathJax-Span-22664" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22665" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22666" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-22667" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22668" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>c</mi><mo>≥</mo><mi>b</mi></math></span></span><script type="math/tex" id="MathJax-Element-238">a\ge c\ge b</script> is done, but <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-239-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>b</mi><mo>&#x2265;</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22669" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22670"><span class="mi" id="MathJax-Span-22671" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22672" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22673" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-22674" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22675" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>b</mi><mo>≥</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-239">a\ge b\ge c</script> is not. But maybe we can adjust values.</p>
|
||
|
||
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|
||
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|
||
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|
||
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||
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||
<div class="prompt input_prompt">In [28]:</div>
|
||
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||
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||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">values</span><span class="o">=</span><span class="n">findvalues</span><span class="p">(</span><span class="n">formula1</span><span class="p">)</span>
|
||
<span class="n">values</span>
|
||
</pre></div>
|
||
|
||
</div>
|
||
</div>
|
||
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|
||
|
||
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||
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||
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||
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|
||
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||
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|
||
|
||
|
||
<div class="output_subarea output_stream output_stdout output_text">
|
||
<pre>Optimization terminated successfully.
|
||
Current function value: 1.000000
|
||
Iterations: 137
|
||
Function evaluations: 249
|
||
</pre>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
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<div class="prompt output_prompt">Out[28]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>(1.7908873553542452e-10, 2.5326984818340415e-10, 7.129450063690368)</pre>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
</div>
|
||
</div>
|
||
|
||
</div>
|
||
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
|
||
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|
||
<div class="text_cell_render border-box-sizing rendered_html">
|
||
<p>First and second value is approximately equal to 0, so we can try to replace 0 with 1.</p>
|
||
|
||
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|
||
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|
||
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|
||
<div class="cell border-box-sizing code_cell rendered">
|
||
<div class="input">
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||
<div class="prompt input_prompt">In [29]:</div>
|
||
<div class="inner_cell">
|
||
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|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="n">formula1</span><span class="p">,</span><span class="n">values</span><span class="o">=</span><span class="s1">'1,1,7'</span><span class="p">)</span>
|
||
</pre></div>
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_wrapper">
|
||
<div class="output">
|
||
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt output_prompt">Out[29]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>2</pre>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
</div>
|
||
</div>
|
||
|
||
</div>
|
||
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
|
||
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|
||
<div class="text_cell_render border-box-sizing rendered_html">
|
||
<p>The key observation is that the <code>formula1</code> is homogenous, so we can scale values.</p>
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="cell border-box-sizing code_cell rendered">
|
||
<div class="input">
|
||
<div class="prompt input_prompt">In [30]:</div>
|
||
<div class="inner_cell">
|
||
<div class="input_area">
|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newvalues</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">values</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">values</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">values</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">/</span><span class="n">values</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||
<span class="n">newvalues</span>
|
||
</pre></div>
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_wrapper">
|
||
<div class="output">
|
||
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt output_prompt">Out[30]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>(1, 1.4142142855953455, 39809595184.05965)</pre>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
</div>
|
||
</div>
|
||
|
||
</div>
|
||
<div class="cell border-box-sizing code_cell rendered">
|
||
<div class="input">
|
||
<div class="prompt input_prompt">In [31]:</div>
|
||
<div class="inner_cell">
|
||
<div class="input_area">
|
||
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newvalues</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span>
|
||
</pre></div>
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<div class="output_wrapper">
|
||
<div class="output">
|
||
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt output_prompt">Out[31]:</div>
|
||
|
||
|
||
|
||
|
||
<div class="output_text output_subarea output_execute_result">
|
||
<pre>2.000002045581953</pre>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
</div>
|
||
</div>
|
||
|
||
</div>
|
||
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
|
||
</div><div class="inner_cell">
|
||
<div class="text_cell_render border-box-sizing rendered_html">
|
||
<p>Now the third value is very big. Technically we could use it, but it would run into overflow error, so we will use 1 instead of it. Second value is very close to <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-240-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>2</mn></msqrt></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22676" style="width: 1.642em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1001.35em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22677"><span class="msqrt" id="MathJax-Span-22678"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22679"><span class="mn" id="MathJax-Span-22680" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>2</mn></msqrt></math></span></span><script type="math/tex" id="MathJax-Element-240">\sqrt{2}</script>, so this value will be our next try.</p>
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<div class="prompt input_prompt">In [32]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">prove</span><span class="p">(</span><span class="n">formula1</span><span class="p">,</span><span class="n">values</span><span class="o">=</span><span class="s1">'1,sqrt(2),1'</span><span class="p">)</span>
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</pre></div>
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<div class="prompt output_prompt">Out[32]:</div>
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<pre>0</pre>
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<p>So after getting the code all together we have got the following proof.</p>
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<div class="prompt input_prompt">In [33]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">newproof</span><span class="p">()</span>
|
||
<span class="n">shiro</span><span class="o">.</span><span class="n">display</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span><span class="n">display</span><span class="p">(</span><span class="n">Latex</span><span class="p">(</span><span class="n">x</span><span class="p">))</span> <span class="c1">#turn on printing proofs </span>
|
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<span class="n">formula</span><span class="o">=</span><span class="n">cyclize</span><span class="p">(</span><span class="s1">'((a-b)/c)^2-2*sqrt(2)*(a-b)/c'</span><span class="p">)</span>
|
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<span class="n">display</span><span class="p">(</span><span class="n">Latex</span><span class="p">(</span><span class="s1">'Case $a\ge c\ge b$'</span><span class="p">))</span>
|
||
<span class="n">formula1</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[c,oo],[b,oo]'</span><span class="p">,</span><span class="n">variables</span><span class="o">=</span><span class="s1">'a,c,b'</span><span class="p">)</span>
|
||
<span class="n">prove</span><span class="p">(</span><span class="n">formula1</span><span class="p">)</span>
|
||
<span class="n">display</span><span class="p">(</span><span class="n">Latex</span><span class="p">(</span><span class="s1">'Case $a\ge b\ge c$'</span><span class="p">))</span>
|
||
<span class="n">formula2</span><span class="o">=</span><span class="n">makesubs</span><span class="p">(</span><span class="n">formula</span><span class="p">,</span><span class="s1">'[b,oo],[c,oo]'</span><span class="p">)</span>
|
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<span class="n">prove</span><span class="p">(</span><span class="n">formula2</span><span class="p">,</span><span class="n">values</span><span class="o">=</span><span class="s1">'1,2**(1/2),1'</span><span class="p">)</span>
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</pre></div>
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Case <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-241-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>c</mi><mo>&#x2265;</mo><mi>b</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22681" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22682"><span class="mi" id="MathJax-Span-22683" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22684" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22685" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-22686" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-22687" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>c</mi><mo>≥</mo><mi>b</mi></math></span></span><script type="math/tex" id="MathJax-Element-241">a\ge c\ge b</script>
|
||
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|
||
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-242-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mi>c</mi><mo>+</mo><mi>d</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22688" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.34em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22689"><span class="mi" id="MathJax-Span-22690" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-22691" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-22692" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-22693" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22694" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mi>c</mi><mo>+</mo><mi>d</mi></math></span></span><script type="math/tex" id="MathJax-Element-242">a\to c + d</script>
|
||
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||
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||
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||
Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-243-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo stretchy="false">&#x2192;</mo><mi>b</mi><mo>+</mo><mi>e</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22695" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.1em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-22696"><span class="mi" id="MathJax-Span-22697" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mo" id="MathJax-Span-22698" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-22699" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-22700" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-22701" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">e</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.139em; border-left: 0px solid; width: 0px; height: 1.075em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo stretchy="false">→</mo><mi>b</mi><mo>+</mo><mi>e</mi></math></span></span><script type="math/tex" id="MathJax-Element-243">c\to b + e</script>
|
||
</div>
|
||
|
||
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|
||
|
||
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|
||
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||
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|
||
numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-244-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-22702" style="width: 67.567em; display: inline-block;"><span style="display: inline-block; position: relative; width: 55.389em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(2.989em, 1055.39em, 5.741em, -999.997em); top: -3.978em; left: 0em;"><span class="mrow" id="MathJax-Span-22703"><span style="display: inline-block; position: relative; width: 55.389em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1055.39em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-22704" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-22705"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22706" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22707"><span class="mrow" id="MathJax-Span-22708"><span class="mn" id="MathJax-Span-22709" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22710"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22711" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22712"><span class="mrow" id="MathJax-Span-22713"><span class="mn" id="MathJax-Span-22714" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22715" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22716" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-22717"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22718" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22719"><span class="mrow" id="MathJax-Span-22720"><span class="mn" id="MathJax-Span-22721" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22722" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-22723" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22724" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22725" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-22726"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22727" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22728"><span class="mrow" id="MathJax-Span-22729"><span class="mn" id="MathJax-Span-22730" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22731"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22732" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22733"><span class="mrow" id="MathJax-Span-22734"><span class="mn" id="MathJax-Span-22735" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22736" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22737" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-22738"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22739" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22740"><span class="mrow" id="MathJax-Span-22741"><span class="mn" id="MathJax-Span-22742" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22743"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22744" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22745"><span class="mrow" id="MathJax-Span-22746"><span class="mn" id="MathJax-Span-22747" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22748" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22749" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-22750"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22751"><span class="mn" id="MathJax-Span-22752" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22753"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22754" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22755"><span class="mrow" id="MathJax-Span-22756"><span class="mn" id="MathJax-Span-22757" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22758"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22759" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22760"><span class="mrow" id="MathJax-Span-22761"><span class="mn" id="MathJax-Span-22762" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22763" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22764" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22765" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-22766"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22767" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22768"><span class="mrow" id="MathJax-Span-22769"><span class="mn" id="MathJax-Span-22770" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22771"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22772" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22773"><span class="mrow" id="MathJax-Span-22774"><span class="mn" id="MathJax-Span-22775" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22776" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22777" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22778" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-22779"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22780"><span class="mn" id="MathJax-Span-22781" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22782"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22783" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22784"><span class="mrow" id="MathJax-Span-22785"><span class="mn" id="MathJax-Span-22786" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22787" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-22788"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22789" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22790"><span class="mrow" id="MathJax-Span-22791"><span class="mn" id="MathJax-Span-22792" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22793" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22794" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-22795"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22796" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22797"><span class="mrow" id="MathJax-Span-22798"><span class="mn" id="MathJax-Span-22799" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22800" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-22801"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22802" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22803"><span class="mrow" id="MathJax-Span-22804"><span class="mn" id="MathJax-Span-22805" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22806" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22807" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-22808"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22809" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22810"><span class="mrow" id="MathJax-Span-22811"><span class="mn" id="MathJax-Span-22812" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22813"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22814" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22815"><span class="mrow" id="MathJax-Span-22816"><span class="mn" id="MathJax-Span-22817" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22818" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22819" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-22820"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22821" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22822"><span class="mrow" id="MathJax-Span-22823"><span class="mn" id="MathJax-Span-22824" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22825"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22826" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22827"><span class="mrow" id="MathJax-Span-22828"><span class="mn" id="MathJax-Span-22829" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22830" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22831" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-22832"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22833"><span class="mn" id="MathJax-Span-22834" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22835"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22836" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22837"><span class="mrow" id="MathJax-Span-22838"><span class="mn" id="MathJax-Span-22839" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22840"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22841" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22842"><span class="mrow" id="MathJax-Span-22843"><span class="mn" id="MathJax-Span-22844" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22845" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22846" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22847" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-22848"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22849" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22850"><span class="mrow" id="MathJax-Span-22851"><span class="mn" id="MathJax-Span-22852" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22853"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22854" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22855"><span class="mrow" id="MathJax-Span-22856"><span class="mn" id="MathJax-Span-22857" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22858" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22859" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22860" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-22861"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22862"><span class="mn" id="MathJax-Span-22863" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22864"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22865" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22866"><span class="mrow" id="MathJax-Span-22867"><span class="mn" id="MathJax-Span-22868" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22869"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22870" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22871"><span class="mrow" id="MathJax-Span-22872"><span class="mn" id="MathJax-Span-22873" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22874"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22875" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22876"><span class="mrow" id="MathJax-Span-22877"><span class="mn" id="MathJax-Span-22878" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.15em, 4.335em, -999.997em); top: -2.573em; left: 0em;"><span class="mo" id="MathJax-Span-22879" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-22880" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-22881"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22882" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22883"><span class="mrow" id="MathJax-Span-22884"><span class="mn" id="MathJax-Span-22885" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22886"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22887" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22888"><span class="mrow" id="MathJax-Span-22889"><span class="mn" id="MathJax-Span-22890" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22891"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22892" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22893"><span class="mrow" id="MathJax-Span-22894"><span class="mn" id="MathJax-Span-22895" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22896" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22897" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-22898"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22899" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22900"><span class="mrow" id="MathJax-Span-22901"><span class="mn" id="MathJax-Span-22902" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22903" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-22904"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22905" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22906"><span class="mrow" id="MathJax-Span-22907"><span class="mn" id="MathJax-Span-22908" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22909" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22910" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-22911"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22912"><span class="mn" id="MathJax-Span-22913" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22914"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22915" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22916"><span class="mrow" id="MathJax-Span-22917"><span class="mn" id="MathJax-Span-22918" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22919" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-22920"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22921" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22922"><span class="mrow" id="MathJax-Span-22923"><span class="mn" id="MathJax-Span-22924" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22925" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22926" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-22927"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22928" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-22929"><span class="mrow" id="MathJax-Span-22930"><span class="mn" id="MathJax-Span-22931" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22932"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22933" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22934"><span class="mrow" id="MathJax-Span-22935"><span class="mn" id="MathJax-Span-22936" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22937" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22938" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-22939" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-22940"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22941" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22942"><span class="mrow" id="MathJax-Span-22943"><span class="mn" id="MathJax-Span-22944" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22945" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-22946" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22947" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-22948"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22949"><span class="mn" id="MathJax-Span-22950" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22951" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-22952"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22953" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22954"><span class="mrow" id="MathJax-Span-22955"><span class="mn" id="MathJax-Span-22956" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22957"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22958" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22959"><span class="mrow" id="MathJax-Span-22960"><span class="mn" id="MathJax-Span-22961" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22962" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22963" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-22964" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-22965"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22966" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22967"><span class="mrow" id="MathJax-Span-22968"><span class="mn" id="MathJax-Span-22969" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22970"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22971" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22972"><span class="mrow" id="MathJax-Span-22973"><span class="mn" id="MathJax-Span-22974" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22975" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22976" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-22977" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-22978"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22979" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22980"><span class="mrow" id="MathJax-Span-22981"><span class="mn" id="MathJax-Span-22982" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22983"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22984" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-22985"><span class="mrow" id="MathJax-Span-22986"><span class="mn" id="MathJax-Span-22987" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-22988" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-22989" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-22990"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-22991"><span class="mn" id="MathJax-Span-22992" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-22993" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-22994"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-22995" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-22996"><span class="mrow" id="MathJax-Span-22997"><span class="mn" id="MathJax-Span-22998" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-22999"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23000" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23001"><span class="mrow" id="MathJax-Span-23002"><span class="mn" id="MathJax-Span-23003" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23004" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23005" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23006"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23007"><span class="mn" id="MathJax-Span-23008" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23009" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-23010" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23011"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23012" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23013"><span class="mrow" id="MathJax-Span-23014"><span class="mn" id="MathJax-Span-23015" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23016" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23017" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23018" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23019"><span class="mrow" id="MathJax-Span-23020"><span class="mn" id="MathJax-Span-23021" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23022"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23023" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23024"><span class="mrow" id="MathJax-Span-23025"><span class="mn" id="MathJax-Span-23026" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23027" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23028" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23029"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23030" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23031"><span class="mrow" id="MathJax-Span-23032"><span class="mn" id="MathJax-Span-23033" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23034"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23035" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23036"><span class="mrow" id="MathJax-Span-23037"><span class="mn" id="MathJax-Span-23038" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23039" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23040" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23041" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23042"><span class="mrow" id="MathJax-Span-23043"><span class="mn" id="MathJax-Span-23044" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23045"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23046" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23047"><span class="mrow" id="MathJax-Span-23048"><span class="mn" id="MathJax-Span-23049" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.996em; border-left: 0px solid; width: 0px; height: 3.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-244">2 b^{4} d^{2} + 2 b^{4} d e + 2 b^{4} e^{2} + 4 b^{3} d^{3} + 2 \sqrt{2} b^{3} d^{2} e + 10 b^{3} d^{2} e + 2 \sqrt{2} b^{3} d e^{2} + 6 b^{3} d e^{2} + 4 b^{3} e^{3} + 2 b^{2} d^{4} + 2 \sqrt{2} b^{2} d^{3} e + 10 b^{2} d^{3} e + 6 \sqrt{2} b^{2} d^{2} e^{2} + 12 b^{2} d^{2} e^{2} + 4 b^{2} d e^{3} + 4 \sqrt{2} b^{2} d e^{3} + 2 b^{2} e^{4} + 2 b d^{4} e + 2 \sqrt{2} b d^{3} e^{2} + 6 b d^{3} e^{2} + 4 b d^{2} e^{3} + 4 \sqrt{2} b d^{2} e^{3} + 2 \sqrt{2} b d e^{4} + d^{4} e^{2} + 2 d^{3} e^{3} + d^{2} e^{4}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-245-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>6</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>d</mi><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>e</mi><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23050" style="width: 48.949em; display: inline-block;"><span style="display: inline-block; position: relative; width: 40.108em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1040.11em, 2.403em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23051"><span class="msubsup" id="MathJax-Span-23052"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23053" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23054"><span class="mrow" id="MathJax-Span-23055"><span class="mn" id="MathJax-Span-23056" style="font-size: 70.7%; font-family: MathJax_Main;">6</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23057" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23058" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23059"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23060" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23061"><span class="mrow" id="MathJax-Span-23062"><span class="mn" id="MathJax-Span-23063" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23064" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-23065" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23066" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23067"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23068" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23069"><span class="mrow" id="MathJax-Span-23070"><span class="mn" id="MathJax-Span-23071" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23072" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23073" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23074" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23075" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23076"><span class="mrow" id="MathJax-Span-23077"><span class="mn" id="MathJax-Span-23078" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23079"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23080" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23081"><span class="mrow" id="MathJax-Span-23082"><span class="mn" id="MathJax-Span-23083" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23084" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23085" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-23086"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23087" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23088"><span class="mrow" id="MathJax-Span-23089"><span class="mn" id="MathJax-Span-23090" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23091" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-23092" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23093" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23094" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-23095"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23096" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23097"><span class="mrow" id="MathJax-Span-23098"><span class="mn" id="MathJax-Span-23099" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23100"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23101" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23102"><span class="mrow" id="MathJax-Span-23103"><span class="mn" id="MathJax-Span-23104" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23105" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23106" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23107"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23108" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23109"><span class="mrow" id="MathJax-Span-23110"><span class="mn" id="MathJax-Span-23111" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23112"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23113" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23114"><span class="mrow" id="MathJax-Span-23115"><span class="mn" id="MathJax-Span-23116" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23117" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23118" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23119" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-23120"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23121" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23122"><span class="mrow" id="MathJax-Span-23123"><span class="mn" id="MathJax-Span-23124" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23125" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23126"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23127" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23128"><span class="mrow" id="MathJax-Span-23129"><span class="mn" id="MathJax-Span-23130" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23131" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23132" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23133"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23134" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23135"><span class="mrow" id="MathJax-Span-23136"><span class="mn" id="MathJax-Span-23137" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23138"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23139" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23140"><span class="mrow" id="MathJax-Span-23141"><span class="mn" id="MathJax-Span-23142" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23143" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23144" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23145" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23146"><span class="mrow" id="MathJax-Span-23147"><span class="mn" id="MathJax-Span-23148" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23149"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23150" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23151"><span class="mrow" id="MathJax-Span-23152"><span class="mn" id="MathJax-Span-23153" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23154"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23155" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23156"><span class="mrow" id="MathJax-Span-23157"><span class="mn" id="MathJax-Span-23158" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23159" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23160" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23161"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23162" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23163"><span class="mrow" id="MathJax-Span-23164"><span class="mn" id="MathJax-Span-23165" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23166" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23167"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23168" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23169"><span class="mrow" id="MathJax-Span-23170"><span class="mn" id="MathJax-Span-23171" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23172" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23173" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23174" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23175"><span class="mrow" id="MathJax-Span-23176"><span class="mn" id="MathJax-Span-23177" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23178"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23179" style="font-family: MathJax_Math; 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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display"><span class="MathJax MathJax_FullWidth" id="MathJax-Element-246-Frame" tabindex="0" style="position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23183" style="width: 100%; display: inline-block; min-width: 66.162em;"><span style="display: inline-block; position: relative; width: 100%; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(3.926em, 1054.22em, 8.258em, -999.997em); top: -4.974em; left: 0em; width: 100%;"><span class="mrow" id="MathJax-Span-23184"><span style="display: inline-block; position: relative; width: 100%; height: 0px;"><span style="position: absolute; clip: rect(2.93em, 1051.41em, 4.335em, -999.997em); top: -3.978em; left: 50%; margin-left: -25.7em;"><span class="mn" id="MathJax-Span-23185" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-23186" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-23187" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-23188"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23189" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23190"><span class="mrow" id="MathJax-Span-23191"><span class="mn" id="MathJax-Span-23192" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23193"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23194" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23195"><span class="mrow" id="MathJax-Span-23196"><span class="mn" id="MathJax-Span-23197" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23198" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23199" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23200"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23201" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23202"><span class="mrow" id="MathJax-Span-23203"><span class="mn" id="MathJax-Span-23204" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23205" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-23206" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23207" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23208" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23209"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23210" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23211"><span class="mrow" id="MathJax-Span-23212"><span class="mn" id="MathJax-Span-23213" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23214"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23215" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23216"><span class="mrow" id="MathJax-Span-23217"><span class="mn" id="MathJax-Span-23218" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23219" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23220" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23221"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23222" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23223"><span class="mrow" id="MathJax-Span-23224"><span class="mn" id="MathJax-Span-23225" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23226"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23227" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23228"><span class="mrow" id="MathJax-Span-23229"><span class="mn" id="MathJax-Span-23230" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23231" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23232" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23233"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23234"><span class="mn" id="MathJax-Span-23235" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23236"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23237" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23238"><span class="mrow" id="MathJax-Span-23239"><span class="mn" id="MathJax-Span-23240" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23241"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23242" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23243"><span class="mrow" id="MathJax-Span-23244"><span class="mn" id="MathJax-Span-23245" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23246" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23247" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23248" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-23249"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23250" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23251"><span class="mrow" id="MathJax-Span-23252"><span class="mn" id="MathJax-Span-23253" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23254"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23255" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23256"><span class="mrow" id="MathJax-Span-23257"><span class="mn" id="MathJax-Span-23258" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23259" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23260" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23261" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23262"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23263"><span class="mn" id="MathJax-Span-23264" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23265"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23266" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23267"><span class="mrow" id="MathJax-Span-23268"><span class="mn" id="MathJax-Span-23269" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23270" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23271"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23272" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23273"><span class="mrow" id="MathJax-Span-23274"><span class="mn" id="MathJax-Span-23275" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23276" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23277" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-23278"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23279" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23280"><span class="mrow" id="MathJax-Span-23281"><span class="mn" id="MathJax-Span-23282" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23283" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23284"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23285" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23286"><span class="mrow" id="MathJax-Span-23287"><span class="mn" id="MathJax-Span-23288" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23289" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23290" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23291"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23292" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23293"><span class="mrow" id="MathJax-Span-23294"><span class="mn" id="MathJax-Span-23295" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23296"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23297" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23298"><span class="mrow" id="MathJax-Span-23299"><span class="mn" id="MathJax-Span-23300" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23301" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23302" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23303"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23304" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23305"><span class="mrow" id="MathJax-Span-23306"><span class="mn" id="MathJax-Span-23307" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23308"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23309" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23310"><span class="mrow" id="MathJax-Span-23311"><span class="mn" id="MathJax-Span-23312" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23313" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23314" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23315"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23316"><span class="mn" id="MathJax-Span-23317" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23318"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23319" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23320"><span class="mrow" id="MathJax-Span-23321"><span class="mn" id="MathJax-Span-23322" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23323"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23324" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23325"><span class="mrow" id="MathJax-Span-23326"><span class="mn" id="MathJax-Span-23327" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23328" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23329" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23330" style="font-family: MathJax_Main; padding-left: 0.237em;">10</span><span class="msubsup" id="MathJax-Span-23331"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23332" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23333"><span class="mrow" id="MathJax-Span-23334"><span class="mn" id="MathJax-Span-23335" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23336"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23337" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23338"><span class="mrow" id="MathJax-Span-23339"><span class="mn" id="MathJax-Span-23340" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23341" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1054.22em, 4.335em, -999.997em); top: -2.456em; left: 50%; margin-left: -27.105em;"><span class="mo" id="MathJax-Span-23342" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-23343" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-23344"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23345"><span class="mn" id="MathJax-Span-23346" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23347"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23348" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23349"><span class="mrow" id="MathJax-Span-23350"><span class="mn" id="MathJax-Span-23351" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23352"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23353" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23354"><span class="mrow" id="MathJax-Span-23355"><span class="mn" id="MathJax-Span-23356" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23357"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23358" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23359"><span class="mrow" id="MathJax-Span-23360"><span class="mn" id="MathJax-Span-23361" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23362" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23363" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msubsup" id="MathJax-Span-23364"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23365" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23366"><span class="mrow" id="MathJax-Span-23367"><span class="mn" id="MathJax-Span-23368" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23369"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23370" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23371"><span class="mrow" id="MathJax-Span-23372"><span class="mn" id="MathJax-Span-23373" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23374"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23375" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23376"><span class="mrow" id="MathJax-Span-23377"><span class="mn" id="MathJax-Span-23378" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23379" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23380" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-23381"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23382"><span class="mn" id="MathJax-Span-23383" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23384"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23385" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23386"><span class="mrow" id="MathJax-Span-23387"><span class="mn" id="MathJax-Span-23388" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23389" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23390"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23391" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23392"><span class="mrow" id="MathJax-Span-23393"><span class="mn" id="MathJax-Span-23394" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23395" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23396" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23397"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23398" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23399"><span class="mrow" id="MathJax-Span-23400"><span class="mn" id="MathJax-Span-23401" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23402" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23403"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23404" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23405"><span class="mrow" id="MathJax-Span-23406"><span class="mn" id="MathJax-Span-23407" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23408" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23409" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23410"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23411" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23412"><span class="mrow" id="MathJax-Span-23413"><span class="mn" id="MathJax-Span-23414" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23415"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23416" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23417"><span class="mrow" id="MathJax-Span-23418"><span class="mn" id="MathJax-Span-23419" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23420" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23421" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="mi" id="MathJax-Span-23422" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-23423"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23424" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23425"><span class="mrow" id="MathJax-Span-23426"><span class="mn" id="MathJax-Span-23427" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23428" style="font-family: MathJax_Math; font-style: italic;">e</span><span class="mo" id="MathJax-Span-23429" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23430" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23431"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23432"><span class="mn" id="MathJax-Span-23433" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23434" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-23435"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23436" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23437"><span class="mrow" id="MathJax-Span-23438"><span class="mn" id="MathJax-Span-23439" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23440"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23441" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23442"><span class="mrow" id="MathJax-Span-23443"><span class="mn" id="MathJax-Span-23444" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23445" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23446" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="mi" id="MathJax-Span-23447" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-23448"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23449" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23450"><span class="mrow" id="MathJax-Span-23451"><span class="mn" id="MathJax-Span-23452" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23453"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23454" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23455"><span class="mrow" id="MathJax-Span-23456"><span class="mn" id="MathJax-Span-23457" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23458" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23459" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-23460"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23461"><span class="mn" id="MathJax-Span-23462" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23463" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-23464"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23465" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23466"><span class="mrow" id="MathJax-Span-23467"><span class="mn" id="MathJax-Span-23468" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23469"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23470" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23471"><span class="mrow" id="MathJax-Span-23472"><span class="mn" id="MathJax-Span-23473" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23474" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23475" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-23476" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="msubsup" id="MathJax-Span-23477"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23478" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23479"><span class="mrow" id="MathJax-Span-23480"><span class="mn" id="MathJax-Span-23481" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23482"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23483" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23484"><span class="mrow" id="MathJax-Span-23485"><span class="mn" id="MathJax-Span-23486" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23487" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23488" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23489"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23490"><span class="mn" id="MathJax-Span-23491" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23492" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mi" id="MathJax-Span-23493" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23494"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23495" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23496"><span class="mrow" id="MathJax-Span-23497"><span class="mn" id="MathJax-Span-23498" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23499" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23500" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23501" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23502"><span class="mrow" id="MathJax-Span-23503"><span class="mn" id="MathJax-Span-23504" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23505"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23506" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23507"><span class="mrow" id="MathJax-Span-23508"><span class="mn" id="MathJax-Span-23509" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.93em, 1006.56em, 4.218em, -999.997em); top: -0.934em; left: 50%; margin-left: -3.276em;"><span class="mo" id="MathJax-Span-23510" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-23511" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23512"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23513" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23514"><span class="mrow" id="MathJax-Span-23515"><span class="mn" id="MathJax-Span-23516" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23517"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23518" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23519"><span class="mrow" id="MathJax-Span-23520"><span class="mn" id="MathJax-Span-23521" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23522" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-23523" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23524" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23525"><span class="mrow" id="MathJax-Span-23526"><span class="mn" id="MathJax-Span-23527" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23528"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23529" style="font-family: MathJax_Math; font-style: italic;">e</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.471em;"><span class="texatom" id="MathJax-Span-23530"><span class="mrow" id="MathJax-Span-23531"><span class="mn" id="MathJax-Span-23532" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 4.98em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.854em; border-left: 0px solid; width: 0px; height: 5.004em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>d</mi><mi>e</mi><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>10</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>12</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>e</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>b</mi><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mi>b</mi><mi>d</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msup><mi>d</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-246"> 0 \le 2 b^{4} d^{2}+2 b^{4} d e+2 b^{4} e^{2}+4 b^{3} d^{3}+2 \sqrt{2} b^{3} d^{2} e+10 b^{3} d^{2} e+2 \sqrt{2} b^{3} d e^{2}+6 b^{3} d e^{2}+4 b^{3} e^{3}+2 b^{2} d^{4}+2 \sqrt{2} b^{2} d^{3} e+10 b^{2} d^{3} e+6 \sqrt{2} b^{2} d^{2} e^{2}+12 b^{2} d^{2} e^{2}+4 \sqrt{2} b^{2} d e^{3}+4 b^{2} d e^{3}+2 b^{2} e^{4}+2 b d^{4} e+2 \sqrt{2} b d^{3} e^{2}+6 b d^{3} e^{2}+4 \sqrt{2} b d^{2} e^{3}+4 b d^{2} e^{3}+2 \sqrt{2} b d e^{4}+d^{4} e^{2}+2 d^{3} e^{3}+d^{2} e^{4} </script>
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The sum of all inequalities gives us a proof of the inequality.
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Case <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-247-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#x2265;</mo><mi>b</mi><mo>&#x2265;</mo><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23533" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.16em, 2.462em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23534"><span class="mi" id="MathJax-Span-23535" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-23536" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-23537" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-23538" style="font-family: MathJax_Main; padding-left: 0.296em;">≥</span><span class="mi" id="MathJax-Span-23539" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>≥</mo><mi>b</mi><mo>≥</mo><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-247">a\ge b\ge c</script>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-248-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">&#x2192;</mo><mi>b</mi><mo>+</mo><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23540" style="width: 5.331em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.335em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.34em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23541"><span class="mi" id="MathJax-Span-23542" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-23543" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-23544" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">b</span><span class="mo" id="MathJax-Span-23545" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-23546" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo stretchy="false">→</mo><mi>b</mi><mo>+</mo><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-248">a\to b + f</script>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-249-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">&#x2192;</mo><mi>c</mi><mo>+</mo><mi>g</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23547" style="width: 5.155em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.218em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.291em, 1004.22em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23548"><span class="mi" id="MathJax-Span-23549" style="font-family: MathJax_Math; font-style: italic;">b</span><span class="mo" id="MathJax-Span-23550" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="mi" id="MathJax-Span-23551" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.296em;">c</span><span class="mo" id="MathJax-Span-23552" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mi" id="MathJax-Span-23553" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.237em;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo stretchy="false">→</mo><mi>c</mi><mo>+</mo><mi>g</mi></math></span></span><script type="math/tex" id="MathJax-Element-249">b\to c + g</script>
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Substitute <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-250-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo stretchy="false">&#x2192;</mo><msqrt><mn>2</mn></msqrt><mi>h</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23554" style="width: 4.921em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.043em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1004.04em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23555"><span class="mi" id="MathJax-Span-23556" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-23557" style="font-family: MathJax_Main; padding-left: 0.296em;">→</span><span class="msqrt" id="MathJax-Span-23558" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23559"><span class="mn" id="MathJax-Span-23560" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23561" style="font-family: MathJax_Math; font-style: italic;">h</span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo stretchy="false">→</mo><msqrt><mn>2</mn></msqrt><mi>h</mi></math></span></span><script type="math/tex" id="MathJax-Element-250">f\to \sqrt{2} h</script>
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numerator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-251-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2212;</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>&#x2212;</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>&#x2212;</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>&#x2212;</mo><mn>12</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>8</mn><msup><mi>c</mi><mrow 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class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>8</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23562" style="width: 68.036em; display: inline-block;"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(3.984em, 1055.74em, 8.317em, -999.997em); top: -4.974em; left: 0em;"><span class="mrow" id="MathJax-Span-23563"><span style="display: inline-block; position: relative; width: 55.741em; height: 0px;"><span style="position: absolute; clip: rect(2.989em, 1052.29em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-23564" style="font-family: MathJax_Main;">2</span><span class="msubsup" id="MathJax-Span-23565"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23566" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23567"><span class="mrow" id="MathJax-Span-23568"><span class="mn" id="MathJax-Span-23569" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23570"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23571" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23572"><span class="mrow" id="MathJax-Span-23573"><span class="mn" id="MathJax-Span-23574" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23575" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23576" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23577"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23578"><span class="mn" id="MathJax-Span-23579" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23580"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23581" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23582"><span class="mrow" id="MathJax-Span-23583"><span class="mn" id="MathJax-Span-23584" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23585" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-23586" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23587" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23588" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23589"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23590" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23591"><span class="mrow" id="MathJax-Span-23592"><span class="mn" id="MathJax-Span-23593" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23594"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23595" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23596"><span class="mrow" id="MathJax-Span-23597"><span class="mn" id="MathJax-Span-23598" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23599" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23600" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23601"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23602" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23603"><span class="mrow" id="MathJax-Span-23604"><span class="mn" id="MathJax-Span-23605" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23606"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23607" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23608"><span class="mrow" id="MathJax-Span-23609"><span class="mn" id="MathJax-Span-23610" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23611" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23612" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23613"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23614" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23615"><span class="mrow" id="MathJax-Span-23616"><span class="mn" id="MathJax-Span-23617" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23618"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23619" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23620"><span class="mrow" id="MathJax-Span-23621"><span class="mn" id="MathJax-Span-23622" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23623" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23624" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23625" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-23626"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23627"><span class="mn" id="MathJax-Span-23628" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23629"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23630" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23631"><span class="mrow" id="MathJax-Span-23632"><span class="mn" id="MathJax-Span-23633" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23634"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23635" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23636"><span class="mrow" id="MathJax-Span-23637"><span class="mn" id="MathJax-Span-23638" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23639" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23640" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23641" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-23642"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23643"><span class="mn" id="MathJax-Span-23644" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23645"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23646" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23647"><span class="mrow" id="MathJax-Span-23648"><span class="mn" id="MathJax-Span-23649" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23650" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23651"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23652" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23653"><span class="mrow" id="MathJax-Span-23654"><span class="mn" id="MathJax-Span-23655" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23656" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23657" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msubsup" id="MathJax-Span-23658"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23659" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23660"><span class="mrow" id="MathJax-Span-23661"><span class="mn" id="MathJax-Span-23662" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23663" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23664"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23665" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23666"><span class="mrow" id="MathJax-Span-23667"><span class="mn" id="MathJax-Span-23668" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23669" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23670" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msqrt" id="MathJax-Span-23671"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23672"><span class="mn" id="MathJax-Span-23673" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23674"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23675" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23676"><span class="mrow" id="MathJax-Span-23677"><span class="mn" id="MathJax-Span-23678" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23679"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23680" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23681"><span class="mrow" id="MathJax-Span-23682"><span class="mn" id="MathJax-Span-23683" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23684" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23685" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23686"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23687" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23688"><span class="mrow" id="MathJax-Span-23689"><span class="mn" id="MathJax-Span-23690" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23691"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23692" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23693"><span class="mrow" id="MathJax-Span-23694"><span class="mn" id="MathJax-Span-23695" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23696" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23697" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-23698"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23699" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23700"><span class="mrow" id="MathJax-Span-23701"><span class="mn" id="MathJax-Span-23702" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23703"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23704" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23705"><span class="mrow" id="MathJax-Span-23706"><span class="mn" id="MathJax-Span-23707" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23708" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23709" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23710" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-23711"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23712"><span class="mn" id="MathJax-Span-23713" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23714"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23715" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23716"><span class="mrow" id="MathJax-Span-23717"><span class="mn" id="MathJax-Span-23718" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23719"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23720" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23721"><span class="mrow" id="MathJax-Span-23722"><span class="mn" id="MathJax-Span-23723" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23724" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1055.74em, 4.394em, -999.997em); top: -2.515em; left: 0em;"><span class="mo" id="MathJax-Span-23725" style="font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-23726" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msqrt" id="MathJax-Span-23727"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23728"><span class="mn" id="MathJax-Span-23729" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23730"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23731" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23732"><span class="mrow" id="MathJax-Span-23733"><span class="mn" id="MathJax-Span-23734" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23735"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23736" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23737"><span class="mrow" id="MathJax-Span-23738"><span class="mn" id="MathJax-Span-23739" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23740"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23741" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23742"><span class="mrow" id="MathJax-Span-23743"><span class="mn" id="MathJax-Span-23744" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23745" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23746" style="font-family: MathJax_Main; padding-left: 0.237em;">24</span><span class="msubsup" id="MathJax-Span-23747"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23748" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23749"><span class="mrow" id="MathJax-Span-23750"><span class="mn" id="MathJax-Span-23751" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23752"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23753" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23754"><span class="mrow" id="MathJax-Span-23755"><span class="mn" id="MathJax-Span-23756" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23757"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23758" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23759"><span class="mrow" id="MathJax-Span-23760"><span class="mn" id="MathJax-Span-23761" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23762" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23763" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-23764"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23765" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23766"><span class="mrow" id="MathJax-Span-23767"><span class="mn" id="MathJax-Span-23768" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23769" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23770"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23771" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23772"><span class="mrow" id="MathJax-Span-23773"><span class="mn" id="MathJax-Span-23774" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23775" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23776" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msqrt" id="MathJax-Span-23777"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23778"><span class="mn" id="MathJax-Span-23779" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23780"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23781" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23782"><span class="mrow" id="MathJax-Span-23783"><span class="mn" id="MathJax-Span-23784" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23785" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23786"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23787" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23788"><span class="mrow" id="MathJax-Span-23789"><span class="mn" id="MathJax-Span-23790" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23791" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23792" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msubsup" id="MathJax-Span-23793"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23794" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23795"><span class="mrow" id="MathJax-Span-23796"><span class="mn" id="MathJax-Span-23797" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23798"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23799" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23800"><span class="mrow" id="MathJax-Span-23801"><span class="mn" id="MathJax-Span-23802" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23803" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23804" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-23805" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-23806"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23807" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23808"><span class="mrow" id="MathJax-Span-23809"><span class="mn" id="MathJax-Span-23810" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23811" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23812" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23813" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="msqrt" id="MathJax-Span-23814"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23815"><span class="mn" id="MathJax-Span-23816" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23817" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-23818"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23819" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23820"><span class="mrow" id="MathJax-Span-23821"><span class="mn" id="MathJax-Span-23822" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23823"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23824" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23825"><span class="mrow" id="MathJax-Span-23826"><span class="mn" id="MathJax-Span-23827" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23828" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23829" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-23830" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-23831"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23832" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23833"><span class="mrow" id="MathJax-Span-23834"><span class="mn" id="MathJax-Span-23835" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23836"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23837" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23838"><span class="mrow" id="MathJax-Span-23839"><span class="mn" id="MathJax-Span-23840" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23841" style="font-family: MathJax_Main; padding-left: 0.237em;">−</span><span class="mn" id="MathJax-Span-23842" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-23843" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-23844"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23845" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23846"><span class="mrow" id="MathJax-Span-23847"><span class="mn" id="MathJax-Span-23848" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23849"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23850" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23851"><span class="mrow" id="MathJax-Span-23852"><span class="mn" id="MathJax-Span-23853" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23854" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23855" style="font-family: MathJax_Main; padding-left: 0.237em;">12</span><span class="msqrt" id="MathJax-Span-23856"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23857"><span class="mn" id="MathJax-Span-23858" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23859" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-23860"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23861" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23862"><span class="mrow" id="MathJax-Span-23863"><span class="mn" id="MathJax-Span-23864" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23865"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23866" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23867"><span class="mrow" id="MathJax-Span-23868"><span class="mn" id="MathJax-Span-23869" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23870" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23871" style="font-family: MathJax_Main; padding-left: 0.237em;">8</span><span class="mi" id="MathJax-Span-23872" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-23873" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-23874"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23875" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23876"><span class="mrow" id="MathJax-Span-23877"><span class="mn" id="MathJax-Span-23878" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23879" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23880" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23881"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23882" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23883"><span class="mrow" id="MathJax-Span-23884"><span class="mn" id="MathJax-Span-23885" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23886"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23887" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23888"><span class="mrow" id="MathJax-Span-23889"><span class="mn" id="MathJax-Span-23890" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1008.55em, 4.394em, -999.997em); top: -1.051em; left: 0em;"><span class="mo" id="MathJax-Span-23891" style="font-family: MathJax_Main;">+</span><span class="mn" id="MathJax-Span-23892" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-23893"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23894"><span class="mn" id="MathJax-Span-23895" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23896"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23897" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23898"><span class="mrow" id="MathJax-Span-23899"><span class="mn" id="MathJax-Span-23900" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23901"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23902" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23903"><span class="mrow" id="MathJax-Span-23904"><span class="mn" id="MathJax-Span-23905" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23906" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23907" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23908"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23909" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23910"><span class="mrow" id="MathJax-Span-23911"><span class="mn" id="MathJax-Span-23912" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23913"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23914" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23915"><span class="mrow" id="MathJax-Span-23916"><span class="mn" id="MathJax-Span-23917" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 4.98em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -3.925em; border-left: 0px solid; width: 0px; height: 5.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>−</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>−</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>−</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>−</mo><mn>12</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>24</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>20</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>−</mo><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><mo>−</mo><mn>8</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−</mo><mn>8</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>12</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>8</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-251">2 c^{4} g^{2} + 2 \sqrt{2} c^{4} g h + 4 c^{4} h^{2} + 4 c^{3} g^{3} - 4 c^{3} g^{2} h + 6 \sqrt{2} c^{3} g^{2} h - 4 \sqrt{2} c^{3} g h^{2} + 20 c^{3} g h^{2} + 8 \sqrt{2} c^{3} h^{3} + 2 c^{2} g^{4} - 8 c^{2} g^{3} h + 4 \sqrt{2} c^{2} g^{3} h - 12 \sqrt{2} c^{2} g^{2} h^{2} + 24 c^{2} g^{2} h^{2} - 8 c^{2} g h^{3} + 20 \sqrt{2} c^{2} g h^{3} + 8 c^{2} h^{4} - 4 c g^{4} h - 8 \sqrt{2} c g^{3} h^{2} + 8 c g^{3} h^{2} - 8 c g^{2} h^{3} + 12 \sqrt{2} c g^{2} h^{3} + 8 c g h^{4} + 2 g^{4} h^{2} + 4 \sqrt{2} g^{3} h^{3} + 4 g^{2} h^{4}</script>
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denominator: <span class="MathJax_Preview" style="color: inherit; display: none;"></span><span class="MathJax" id="MathJax-Element-252-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>6</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>g</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-23918" style="width: 57.497em; display: inline-block;"><span style="display: inline-block; position: relative; width: 47.134em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.174em, 1047.13em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-23919"><span class="msubsup" id="MathJax-Span-23920"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23921" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23922"><span class="mrow" id="MathJax-Span-23923"><span class="mn" id="MathJax-Span-23924" style="font-size: 70.7%; font-family: MathJax_Main;">6</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23925" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23926" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23927"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23928" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23929"><span class="mrow" id="MathJax-Span-23930"><span class="mn" id="MathJax-Span-23931" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23932" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-23933" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23934" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-23935"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23936"><span class="mn" id="MathJax-Span-23937" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23938"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23939" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23940"><span class="mrow" id="MathJax-Span-23941"><span class="mn" id="MathJax-Span-23942" style="font-size: 70.7%; font-family: MathJax_Main;">5</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23943" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23944" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23945" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-23946"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23947" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23948"><span class="mrow" id="MathJax-Span-23949"><span class="mn" id="MathJax-Span-23950" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23951"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23952" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23953"><span class="mrow" id="MathJax-Span-23954"><span class="mn" id="MathJax-Span-23955" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23956" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23957" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-23958"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23959"><span class="mn" id="MathJax-Span-23960" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23961"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23962" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23963"><span class="mrow" id="MathJax-Span-23964"><span class="mn" id="MathJax-Span-23965" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-23966" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-23967" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-23968" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23969" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-23970"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23971" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23972"><span class="mrow" id="MathJax-Span-23973"><span class="mn" id="MathJax-Span-23974" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23975"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23976" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-23977"><span class="mrow" id="MathJax-Span-23978"><span class="mn" id="MathJax-Span-23979" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23980" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23981" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-23982"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23983" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23984"><span class="mrow" id="MathJax-Span-23985"><span class="mn" id="MathJax-Span-23986" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23987"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23988" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-23989"><span class="mrow" id="MathJax-Span-23990"><span class="mn" id="MathJax-Span-23991" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-23992" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-23993" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-23994"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-23995"><span class="mn" id="MathJax-Span-23996" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-23997"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-23998" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-23999"><span class="mrow" id="MathJax-Span-24000"><span class="mn" id="MathJax-Span-24001" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24002"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24003" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24004"><span class="mrow" id="MathJax-Span-24005"><span class="mn" id="MathJax-Span-24006" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24007" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24008" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24009" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msubsup" id="MathJax-Span-24010"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24011" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24012"><span class="mrow" id="MathJax-Span-24013"><span class="mn" id="MathJax-Span-24014" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24015" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24016"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24017" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24018"><span class="mrow" id="MathJax-Span-24019"><span class="mn" id="MathJax-Span-24020" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24021" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-24022" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24023" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24024"><span class="mrow" id="MathJax-Span-24025"><span class="mn" id="MathJax-Span-24026" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24027"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24028" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24029"><span class="mrow" id="MathJax-Span-24030"><span class="mn" id="MathJax-Span-24031" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24032" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24033" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msqrt" id="MathJax-Span-24034"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24035"><span class="mn" id="MathJax-Span-24036" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -4.037em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24037"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24038" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24039"><span class="mrow" id="MathJax-Span-24040"><span class="mn" id="MathJax-Span-24041" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24042"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24043" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24044"><span class="mrow" id="MathJax-Span-24045"><span class="mn" id="MathJax-Span-24046" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24047" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24048" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24049" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24050"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24051" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24052"><span class="mrow" id="MathJax-Span-24053"><span class="mn" id="MathJax-Span-24054" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24055"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24056" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24057"><span class="mrow" id="MathJax-Span-24058"><span class="mn" id="MathJax-Span-24059" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24060"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24061" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.33em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24062"><span class="mrow" id="MathJax-Span-24063"><span class="mn" id="MathJax-Span-24064" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>6</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>g</mi><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>5</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span><script type="math/tex" id="MathJax-Element-252">c^{6} + 4 c^{5} g + 2 \sqrt{2} c^{5} h + 6 c^{4} g^{2} + 6 \sqrt{2} c^{4} g h + 2 c^{4} h^{2} + 4 c^{3} g^{3} + 6 \sqrt{2} c^{3} g^{2} h + 4 c^{3} g h^{2} + c^{2} g^{4} + 2 \sqrt{2} c^{2} g^{3} h + 2 c^{2} g^{2} h^{2}</script>
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</div>
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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status: 0
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</div>
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</div>
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<div class="output_area">
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<div class="prompt"></div>
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<div class="output_latex output_subarea ">
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From weighted AM-GM inequality:
|
||
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</div>
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<div class="output_area">
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-253-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>&#x2264;</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24065" style="width: 13.645em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.186em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1011.19em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24066"><span class="mn" id="MathJax-Span-24067" style="font-family: MathJax_Main;">4</span><span class="msubsup" id="MathJax-Span-24068"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24069" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24070"><span class="mrow" id="MathJax-Span-24071"><span class="mn" id="MathJax-Span-24072" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24073"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24074" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24075"><span class="mrow" id="MathJax-Span-24076"><span class="mn" id="MathJax-Span-24077" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24078" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24079" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24080" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-24081"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24082" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24083"><span class="mrow" id="MathJax-Span-24084"><span class="mn" id="MathJax-Span-24085" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24086"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24087" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24088"><span class="mrow" id="MathJax-Span-24089"><span class="mn" id="MathJax-Span-24090" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24091" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24092" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24093"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24094" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24095"><span class="mrow" id="MathJax-Span-24096"><span class="mn" id="MathJax-Span-24097" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24098"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24099" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24100"><span class="mrow" id="MathJax-Span-24101"><span class="mn" id="MathJax-Span-24102" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24103"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24104" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24105"><span class="mrow" id="MathJax-Span-24106"><span class="mn" id="MathJax-Span-24107" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>≤</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-253">4 c^{3} g^{2} h \le 2 c^{4} g^{2}+2 c^{2} g^{2} h^{2}</script>
|
||
</div>
|
||
|
||
</div>
|
||
|
||
<div class="output_area">
|
||
|
||
<div class="prompt"></div>
|
||
|
||
|
||
|
||
|
||
<div class="output_latex output_subarea ">
|
||
<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-254-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24108" style="width: 22.954em; display: inline-block;"><span style="display: inline-block; position: relative; width: 18.797em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1018.8em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24109"><span class="mn" id="MathJax-Span-24110" style="font-family: MathJax_Main;">4</span><span class="msqrt" id="MathJax-Span-24111"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24112"><span class="mn" id="MathJax-Span-24113" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24114"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24115" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24116"><span class="mrow" id="MathJax-Span-24117"><span class="mn" id="MathJax-Span-24118" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24119" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24120"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24121" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24122"><span class="mrow" id="MathJax-Span-24123"><span class="mn" id="MathJax-Span-24124" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24125" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24126" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msqrt" id="MathJax-Span-24127"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24128"><span class="mn" id="MathJax-Span-24129" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24130"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24131" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24132"><span class="mrow" id="MathJax-Span-24133"><span class="mn" id="MathJax-Span-24134" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24135" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-24136" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24137" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msqrt" id="MathJax-Span-24138" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24139"><span class="mn" id="MathJax-Span-24140" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24141"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24142" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24143"><span class="mrow" id="MathJax-Span-24144"><span class="mn" id="MathJax-Span-24145" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24146"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24147" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24148"><span class="mrow" id="MathJax-Span-24149"><span class="mn" id="MathJax-Span-24150" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24151" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="msqrt" id="MathJax-Span-24152" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24153"><span class="mn" id="MathJax-Span-24154" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24155" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24156"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24157" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24158"><span class="mrow" id="MathJax-Span-24159"><span class="mn" id="MathJax-Span-24160" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24161"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24162" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24163"><span class="mrow" id="MathJax-Span-24164"><span class="mn" id="MathJax-Span-24165" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>2</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>g</mi><mi>h</mi><mo>+</mo><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-254">4 \sqrt{2} c^{3} g h^{2} \le 2 \sqrt{2} c^{4} g h+\sqrt{2} c^{3} h^{3}+\sqrt{2} c g^{2} h^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-255-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>&#x2264;</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24166" style="width: 13.118em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.717em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.72em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24167"><span class="mn" id="MathJax-Span-24168" style="font-family: MathJax_Main;">8</span><span class="msubsup" id="MathJax-Span-24169"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24170" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24171"><span class="mrow" id="MathJax-Span-24172"><span class="mn" id="MathJax-Span-24173" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24174"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24175" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24176"><span class="mrow" id="MathJax-Span-24177"><span class="mn" id="MathJax-Span-24178" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24179" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24180" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24181" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-24182"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24183" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24184"><span class="mrow" id="MathJax-Span-24185"><span class="mn" id="MathJax-Span-24186" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24187"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24188" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24189"><span class="mrow" id="MathJax-Span-24190"><span class="mn" id="MathJax-Span-24191" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24192" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24193" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-24194" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24195"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24196" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24197"><span class="mrow" id="MathJax-Span-24198"><span class="mn" id="MathJax-Span-24199" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24200"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24201" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24202"><span class="mrow" id="MathJax-Span-24203"><span class="mn" id="MathJax-Span-24204" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>≤</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-255">8 c^{2} g^{3} h \le 4 c^{3} g^{3}+4 c g^{3} h^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-256-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>12</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24205" style="width: 19.851em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.279em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1016.28em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24206"><span class="mn" id="MathJax-Span-24207" style="font-family: MathJax_Main;">12</span><span class="msqrt" id="MathJax-Span-24208"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24209"><span class="mn" id="MathJax-Span-24210" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24211"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24212" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24213"><span class="mrow" id="MathJax-Span-24214"><span class="mn" id="MathJax-Span-24215" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24216"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24217" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24218"><span class="mrow" id="MathJax-Span-24219"><span class="mn" id="MathJax-Span-24220" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24221"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24222" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24223"><span class="mrow" id="MathJax-Span-24224"><span class="mn" id="MathJax-Span-24225" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24226" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24227" style="font-family: MathJax_Main; padding-left: 0.296em;">6</span><span class="msqrt" id="MathJax-Span-24228"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24229"><span class="mn" id="MathJax-Span-24230" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24231"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24232" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24233"><span class="mrow" id="MathJax-Span-24234"><span class="mn" id="MathJax-Span-24235" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24236"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24237" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24238"><span class="mrow" id="MathJax-Span-24239"><span class="mn" id="MathJax-Span-24240" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24241" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24242" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24243" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msqrt" id="MathJax-Span-24244"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24245"><span class="mn" id="MathJax-Span-24246" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24247" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24248"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24249" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24250"><span class="mrow" id="MathJax-Span-24251"><span class="mn" id="MathJax-Span-24252" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24253"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24254" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24255"><span class="mrow" id="MathJax-Span-24256"><span class="mn" id="MathJax-Span-24257" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>12</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>6</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-256">12 \sqrt{2} c^{2} g^{2} h^{2} \le 6 \sqrt{2} c^{3} g^{2} h+6 \sqrt{2} c g^{2} h^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-257-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2264;</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24258" style="width: 17.567em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.406em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1014.41em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24259"><span class="mn" id="MathJax-Span-24260" style="font-family: MathJax_Main;">8</span><span class="msubsup" id="MathJax-Span-24261"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24262" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24263"><span class="mrow" id="MathJax-Span-24264"><span class="mn" id="MathJax-Span-24265" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24266" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24267"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24268" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24269"><span class="mrow" id="MathJax-Span-24270"><span class="mn" id="MathJax-Span-24271" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24272" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24273" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-24274"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24275" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24276"><span class="mrow" id="MathJax-Span-24277"><span class="mn" id="MathJax-Span-24278" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24279" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24280"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24281" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24282"><span class="mrow" id="MathJax-Span-24283"><span class="mn" id="MathJax-Span-24284" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24285" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24286" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24287"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24288" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24289"><span class="mrow" id="MathJax-Span-24290"><span class="mn" id="MathJax-Span-24291" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24292"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24293" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24294"><span class="mrow" id="MathJax-Span-24295"><span class="mn" id="MathJax-Span-24296" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24297" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24298" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24299"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24300" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24301"><span class="mrow" id="MathJax-Span-24302"><span class="mn" id="MathJax-Span-24303" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24304"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24305" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24306"><span class="mrow" id="MathJax-Span-24307"><span class="mn" id="MathJax-Span-24308" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>≤</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-257">8 c^{2} g h^{3} \le 4 c^{3} g h^{2}+2 c^{2} h^{4}+2 g^{2} h^{4}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-258-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><mo>&#x2264;</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24309" style="width: 12.005em; display: inline-block;"><span style="display: inline-block; position: relative; width: 9.839em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1009.84em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24310"><span class="mn" id="MathJax-Span-24311" style="font-family: MathJax_Main;">4</span><span class="mi" id="MathJax-Span-24312" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24313"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24314" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24315"><span class="mrow" id="MathJax-Span-24316"><span class="mn" id="MathJax-Span-24317" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24318" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24319" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24320" style="font-family: MathJax_Main; padding-left: 0.296em;">2</span><span class="msubsup" id="MathJax-Span-24321"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24322" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24323"><span class="mrow" id="MathJax-Span-24324"><span class="mn" id="MathJax-Span-24325" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24326"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24327" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24328"><span class="mrow" id="MathJax-Span-24329"><span class="mn" id="MathJax-Span-24330" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24331" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24332" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24333"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24334" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24335"><span class="mrow" id="MathJax-Span-24336"><span class="mn" id="MathJax-Span-24337" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24338"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24339" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24340"><span class="mrow" id="MathJax-Span-24341"><span class="mn" id="MathJax-Span-24342" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mi>h</mi><mo>≤</mo><mn>2</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-258">4 c g^{4} h \le 2 c^{2} g^{4}+2 g^{4} h^{2}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-259-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>&#x2264;</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24343" style="width: 18.153em; display: inline-block;"><span style="display: inline-block; position: relative; width: 14.874em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1014.87em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24344"><span class="mn" id="MathJax-Span-24345" style="font-family: MathJax_Main;">8</span><span class="msqrt" id="MathJax-Span-24346"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24347"><span class="mn" id="MathJax-Span-24348" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24349" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24350"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24351" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24352"><span class="mrow" id="MathJax-Span-24353"><span class="mn" id="MathJax-Span-24354" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24355"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24356" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24357"><span class="mrow" id="MathJax-Span-24358"><span class="mn" id="MathJax-Span-24359" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24360" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24361" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msqrt" id="MathJax-Span-24362"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24363"><span class="mn" id="MathJax-Span-24364" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24365"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24366" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24367"><span class="mrow" id="MathJax-Span-24368"><span class="mn" id="MathJax-Span-24369" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24370"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24371" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24372"><span class="mrow" id="MathJax-Span-24373"><span class="mn" id="MathJax-Span-24374" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24375" style="font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-24376" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24377" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="msqrt" id="MathJax-Span-24378"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24379"><span class="mn" id="MathJax-Span-24380" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24381"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24382" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24383"><span class="mrow" id="MathJax-Span-24384"><span class="mn" id="MathJax-Span-24385" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24386"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24387" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24388"><span class="mrow" id="MathJax-Span-24389"><span class="mn" id="MathJax-Span-24390" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>≤</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>h</mi><mo>+</mo><mn>4</mn><msqrt><mn>2</mn></msqrt><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-259">8 \sqrt{2} c g^{3} h^{2} \le 4 \sqrt{2} c^{2} g^{3} h+4 \sqrt{2} g^{3} h^{3}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-260-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>&#x2264;</mo><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24391" style="width: 13.176em; display: inline-block;"><span style="display: inline-block; position: relative; width: 10.776em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1010.78em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24392"><span class="mn" id="MathJax-Span-24393" style="font-family: MathJax_Main;">8</span><span class="mi" id="MathJax-Span-24394" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24395"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24396" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24397"><span class="mrow" id="MathJax-Span-24398"><span class="mn" id="MathJax-Span-24399" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24400"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24401" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24402"><span class="mrow" id="MathJax-Span-24403"><span class="mn" id="MathJax-Span-24404" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24405" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24406" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="mi" id="MathJax-Span-24407" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24408"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24409" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24410"><span class="mrow" id="MathJax-Span-24411"><span class="mn" id="MathJax-Span-24412" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24413"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24414" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24415"><span class="mrow" id="MathJax-Span-24416"><span class="mn" id="MathJax-Span-24417" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24418" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24419" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-24420" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-24421" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24422"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24423" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24424"><span class="mrow" id="MathJax-Span-24425"><span class="mn" id="MathJax-Span-24426" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>8</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>≤</mo><mn>4</mn><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-260">8 c g^{2} h^{3} \le 4 c g^{3} h^{2}+4 c g h^{4}</script>
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<span class="MathJax_Preview" style="color: inherit; display: none;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" id="MathJax-Element-261-Frame" tabindex="0" style="text-align: center; position: relative;" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>&#x2264;</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>7</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>22</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>5</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math>" role="presentation"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24427" style="width: 50.471em; display: inline-block;"><span style="display: inline-block; position: relative; width: 41.338em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.115em, 1041.34em, 2.579em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-24428"><span class="mn" id="MathJax-Span-24429" style="font-family: MathJax_Main;">0</span><span class="mo" id="MathJax-Span-24430" style="font-family: MathJax_Main; padding-left: 0.296em;">≤</span><span class="mn" id="MathJax-Span-24431" style="font-family: MathJax_Main; padding-left: 0.296em;">4</span><span class="msubsup" id="MathJax-Span-24432"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24433" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24434"><span class="mrow" id="MathJax-Span-24435"><span class="mn" id="MathJax-Span-24436" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24437"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24438" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24439"><span class="mrow" id="MathJax-Span-24440"><span class="mn" id="MathJax-Span-24441" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24442" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24443" style="font-family: MathJax_Main; padding-left: 0.237em;">16</span><span class="msubsup" id="MathJax-Span-24444"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24445" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24446"><span class="mrow" id="MathJax-Span-24447"><span class="mn" id="MathJax-Span-24448" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24449" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24450"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24451" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24452"><span class="mrow" id="MathJax-Span-24453"><span class="mn" id="MathJax-Span-24454" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24455" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24456" style="font-family: MathJax_Main; padding-left: 0.237em;">7</span><span class="msqrt" id="MathJax-Span-24457"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24458"><span class="mn" id="MathJax-Span-24459" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24460"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24461" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24462"><span class="mrow" id="MathJax-Span-24463"><span class="mn" id="MathJax-Span-24464" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24465"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24466" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24467"><span class="mrow" id="MathJax-Span-24468"><span class="mn" id="MathJax-Span-24469" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24470" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24471" style="font-family: MathJax_Main; padding-left: 0.237em;">22</span><span class="msubsup" id="MathJax-Span-24472"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24473" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24474"><span class="mrow" id="MathJax-Span-24475"><span class="mn" id="MathJax-Span-24476" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24477"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24478" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24479"><span class="mrow" id="MathJax-Span-24480"><span class="mn" id="MathJax-Span-24481" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24482"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24483" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24484"><span class="mrow" id="MathJax-Span-24485"><span class="mn" id="MathJax-Span-24486" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24487" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24488" style="font-family: MathJax_Main; padding-left: 0.237em;">20</span><span class="msqrt" id="MathJax-Span-24489"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24490"><span class="mn" id="MathJax-Span-24491" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24492"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24493" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24494"><span class="mrow" id="MathJax-Span-24495"><span class="mn" id="MathJax-Span-24496" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24497" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24498"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24499" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24500"><span class="mrow" id="MathJax-Span-24501"><span class="mn" id="MathJax-Span-24502" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24503" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24504" style="font-family: MathJax_Main; padding-left: 0.237em;">6</span><span class="msubsup" id="MathJax-Span-24505"><span style="display: inline-block; position: relative; width: 0.881em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24506" style="font-family: MathJax_Math; font-style: italic;">c</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.413em;"><span class="texatom" id="MathJax-Span-24507"><span class="mrow" id="MathJax-Span-24508"><span class="mn" id="MathJax-Span-24509" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24510"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24511" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24512"><span class="mrow" id="MathJax-Span-24513"><span class="mn" id="MathJax-Span-24514" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24515" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24516" style="font-family: MathJax_Main; padding-left: 0.237em;">5</span><span class="msqrt" id="MathJax-Span-24517"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0.823em;"><span class="mrow" id="MathJax-Span-24518"><span class="mn" id="MathJax-Span-24519" style="font-family: MathJax_Main;">2</span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.516em, 1000.53em, 3.926em, -999.997em); top: -4.505em; left: 0.823em;"><span style="font-family: MathJax_Main;">–</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(2.989em, 1000.88em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mi" id="MathJax-Span-24520" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="msubsup" id="MathJax-Span-24521"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24522" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24523"><span class="mrow" id="MathJax-Span-24524"><span class="mn" id="MathJax-Span-24525" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24526"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24527" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24528"><span class="mrow" id="MathJax-Span-24529"><span class="mn" id="MathJax-Span-24530" style="font-size: 70.7%; font-family: MathJax_Main;">3</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24531" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24532" style="font-family: MathJax_Main; padding-left: 0.237em;">4</span><span class="mi" id="MathJax-Span-24533" style="font-family: MathJax_Math; font-style: italic;">c</span><span class="mi" id="MathJax-Span-24534" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="msubsup" id="MathJax-Span-24535"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24536" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24537"><span class="mrow" id="MathJax-Span-24538"><span class="mn" id="MathJax-Span-24539" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-24540" style="font-family: MathJax_Main; padding-left: 0.237em;">+</span><span class="mn" id="MathJax-Span-24541" style="font-family: MathJax_Main; padding-left: 0.237em;">2</span><span class="msubsup" id="MathJax-Span-24542"><span style="display: inline-block; position: relative; width: 0.94em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.394em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24543" style="font-family: MathJax_Math; font-style: italic;">g<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.53em;"><span class="texatom" id="MathJax-Span-24544"><span class="mrow" id="MathJax-Span-24545"><span class="mn" id="MathJax-Span-24546" style="font-size: 70.7%; font-family: MathJax_Main;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="msubsup" id="MathJax-Span-24547"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1000.53em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-24548" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.588em;"><span class="texatom" id="MathJax-Span-24549"><span class="mrow" id="MathJax-Span-24550"><span class="mn" id="MathJax-Span-24551" style="font-size: 70.7%; font-family: MathJax_Main;">4</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mn>0</mn><mo>≤</mo><mn>4</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>16</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>7</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>22</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><mn>20</mn><msqrt><mn>2</mn></msqrt><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>6</mn><msup><mi>c</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>5</mn><msqrt><mn>2</mn></msqrt><mi>c</mi><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mo>+</mo><mn>4</mn><mi>c</mi><mi>g</mi><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mo>+</mo><mn>2</mn><msup><mi>g</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><msup><mi>h</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup></math></span></span></div><script type="math/tex; mode=display" id="MathJax-Element-261"> 0 \le 4 c^{4} h^{2}+16 c^{3} g h^{2}+7 \sqrt{2} c^{3} h^{3}+22 c^{2} g^{2} h^{2}+20 \sqrt{2} c^{2} g h^{3}+6 c^{2} h^{4}+5 \sqrt{2} c g^{2} h^{3}+4 c g h^{4}+2 g^{2} h^{4} </script>
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The sum of all inequalities gives us a proof of the inequality.
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<div class="prompt output_prompt">Out[33]:</div>
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<pre>0</pre>
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