From 2af4ea217841d926501f3f7800aa6a56f0491ef1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= Date: Thu, 11 Apr 2024 10:45:41 +0200 Subject: [PATCH] =?UTF-8?q?Wyk=C5=82ad=205?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- wyk/04_Regresja_logistyczna.ipynb | 1560 +++++++++++++++-------------- wyk/05_Metody_ewaluacji.ipynb | 58 +- 2 files changed, 829 insertions(+), 789 deletions(-) diff --git a/wyk/04_Regresja_logistyczna.ipynb b/wyk/04_Regresja_logistyczna.ipynb index f8761ea..5a2fbbf 100644 --- a/wyk/04_Regresja_logistyczna.ipynb +++ b/wyk/04_Regresja_logistyczna.ipynb @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "notes" @@ -224,7 +224,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" @@ -254,7 +254,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "scrolled": true, "slideshow": { @@ -289,7 +289,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "notes" @@ -313,7 +313,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" @@ -331,11 +331,11 @@ " \n", " \n", " \n", - " 2023-03-23T07:55:09.633300\n", + " 2024-04-04T08:23:16.743999\n", " image/svg+xml\n", " \n", " \n", - " Matplotlib v3.6.2, https://matplotlib.org/\n", + " Matplotlib v3.8.3, https://matplotlib.org/\n", " \n", " \n", " \n", @@ -364,7 +364,7 @@ " \n", " \n", " \n", - " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -574,7 +574,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -603,7 +603,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -642,7 +642,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -689,7 +689,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -723,7 +723,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -763,7 +763,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -808,7 +808,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -858,12 +858,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -895,7 +895,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -911,7 +911,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -926,7 +926,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -941,7 +941,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -956,7 +956,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -971,7 +971,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1242,7 +1242,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1297,7 +1297,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1331,13 +1331,23 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1480/766189158.py:53: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta0=float(theta[0][0]),\n", + "/tmp/ipykernel_1480/766189158.py:54: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta1=(float(theta[1][0]) if theta[1][0] >= 0 else float(-theta[1][0])),\n" + ] + }, { "data": { "image/svg+xml": [ @@ -1349,11 +1359,11 @@ " \n", " \n", " \n", - " 2023-03-23T07:55:10.388366\n", + " 2024-04-04T08:23:16.894001\n", " image/svg+xml\n", " \n", " \n", - " Matplotlib v3.6.2, https://matplotlib.org/\n", + " Matplotlib v3.8.3, https://matplotlib.org/\n", " \n", " \n", " \n", @@ -1382,7 +1392,7 @@ " \n", " \n", " \n", - " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1592,7 +1602,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1621,7 +1631,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1660,7 +1670,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1707,7 +1717,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1741,7 +1751,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1781,7 +1791,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1826,7 +1836,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1876,12 +1886,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1913,7 +1923,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1929,7 +1939,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1944,7 +1954,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1959,7 +1969,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1974,7 +1984,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1989,7 +1999,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2226,7 +2236,7 @@ " \n", " \n", + "\" clip-path=\"url(#p9430b6fd0a)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2389,7 +2399,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2422,13 +2432,23 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1480/766189158.py:53: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta0=float(theta[0][0]),\n", + "/tmp/ipykernel_1480/766189158.py:54: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta1=(float(theta[1][0]) if theta[1][0] >= 0 else float(-theta[1][0])),\n" + ] + }, { "data": { "image/svg+xml": [ @@ -2440,11 +2460,11 @@ " \n", " \n", " \n", - " 2023-03-23T07:55:10.969204\n", + " 2024-04-04T08:23:17.045524\n", " image/svg+xml\n", " \n", " \n", - " Matplotlib v3.6.2, https://matplotlib.org/\n", + " Matplotlib v3.8.3, https://matplotlib.org/\n", " \n", " \n", " \n", @@ -2473,7 +2493,7 @@ " \n", " \n", " \n", - " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2683,7 +2703,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2712,7 +2732,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2751,7 +2771,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2798,7 +2818,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2832,7 +2852,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2872,7 +2892,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2917,7 +2937,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2967,12 +2987,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3004,7 +3024,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3020,7 +3040,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3035,7 +3055,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3050,7 +3070,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3065,7 +3085,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3080,7 +3100,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3317,12 +3337,12 @@ " \n", " \n", + "\" clip-path=\"url(#pd3957bee9e)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", " \n", " \n", " \n", + "\" clip-path=\"url(#pd3957bee9e)\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #ffa500; stroke-width: 1.5\"/>\n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3610,7 +3630,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3686,7 +3706,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" @@ -3701,7 +3721,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "notes" @@ -3735,7 +3755,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "scrolled": true, "slideshow": { @@ -3754,11 +3774,11 @@ " \n", " \n", " \n", - " 2023-03-23T07:55:11.445471\n", + " 2024-04-04T08:23:17.154723\n", " image/svg+xml\n", " \n", " \n", - " Matplotlib v3.6.2, https://matplotlib.org/\n", + " Matplotlib v3.8.3, https://matplotlib.org/\n", " \n", " \n", " \n", @@ -3789,12 +3809,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3836,7 +3856,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3876,7 +3896,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3912,7 +3932,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3925,7 +3945,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3940,12 +3960,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3969,7 +3989,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3984,7 +4004,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3999,7 +4019,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4046,7 +4066,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4102,7 +4122,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4194,7 +4214,7 @@ "L 401.164203 31.925164 \n", "L 402.94858 31.846049 \n", "L 402.94858 31.846049 \n", - "\" clip-path=\"url(#pd2e7b37012)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", + "\" clip-path=\"url(#p4a82a0231f)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4276,7 +4296,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "skip" @@ -4319,7 +4339,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" @@ -4338,7 +4358,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "slideshow": { "slide_type": "fragment" @@ -4353,7 +4373,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "slideshow": { "slide_type": "subslide" @@ -4382,7 +4402,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "slideshow": { "slide_type": "subslide" @@ -4410,7 +4430,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "slideshow": { "slide_type": "notes" @@ -4447,7 +4467,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": { "scrolled": true, "slideshow": { @@ -4466,11 +4486,11 @@ " \n", " \n", " \n", - " 2023-03-23T07:55:12.086231\n", + " 2024-04-04T08:23:17.379694\n", " image/svg+xml\n", " \n", " \n", - " Matplotlib v3.6.2, https://matplotlib.org/\n", + " Matplotlib v3.8.3, https://matplotlib.org/\n", " \n", " \n", " \n", @@ -4499,7 +4519,7 @@ " \n", " \n", " \n", - " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4709,7 +4729,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4738,7 +4758,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4777,7 +4797,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4824,7 +4844,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4858,7 +4878,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4898,7 +4918,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4943,7 +4963,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4993,12 +5013,12 @@ " \n", " \n", " \n", - " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5030,7 +5050,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5046,7 +5066,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5061,7 +5081,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5076,7 +5096,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5091,7 +5111,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5106,7 +5126,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5420,12 +5440,12 @@ "L 584.122456 218.355011 \n", "L 591.12195 218.35577 \n", "L 598.121444 218.356393 \n", - "\" clip-path=\"url(#p240463a1d1)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", + "\" clip-path=\"url(#pc51bf66451)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 2; stroke-linecap: square\"/>\n", " \n", " \n", " \n", + "\" clip-path=\"url(#pc51bf66451)\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #ffa500; stroke-width: 1.5\"/>\n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -5538,7 +5558,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": { "slideshow": { "slide_type": "subslide" @@ -5571,7 +5591,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": { "slideshow": { "slide_type": "subslide" @@ -5612,7 +5632,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": { "slideshow": { "slide_type": "subslide" @@ -5630,7 +5650,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "slideshow": { "slide_type": "subslide" @@ -5682,7 +5702,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": { "slideshow": { "slide_type": "subslide" @@ -5730,7 +5750,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": { "slideshow": { "slide_type": "notes" @@ -5792,7 +5812,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": { "slideshow": { "slide_type": "fragment" @@ -5890,7 +5910,7 @@ "5 6.0 2.7 5.1 1.6 Iris-versicolor" ] }, - "execution_count": 24, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -5904,7 +5924,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": { "slideshow": { "slide_type": "subslide" @@ -6011,7 +6031,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": { "slideshow": { "slide_type": "notes" @@ -6042,7 +6062,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": { "slideshow": { "slide_type": "notes" @@ -6147,7 +6167,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": { "slideshow": { "slide_type": "subslide" @@ -6173,7 +6193,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": { "slideshow": { "slide_type": "fragment" @@ -6196,7 +6216,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": { "slideshow": { "slide_type": "subslide" @@ -6219,7 +6239,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": { "scrolled": true, "slideshow": { @@ -6232,25 +6252,25 @@ "output_type": "stream", "text": [ "Otrzymana macierz parametrów theta dla klasy 0:\n", - " [[ 0.44809895]\n", - " [-0.02470655]\n", - " [ 1.73058264]\n", - " [-1.97727025]\n", - " [-0.3624556 ]] \n", + " [[ 0.17186737]\n", + " [ 0.28150146]\n", + " [ 1.45560929]\n", + " [-2.22394386]\n", + " [-0.15036765]] \n", "\n", "Otrzymana macierz parametrów theta dla klasy 1:\n", - " [[ 0.5642055 ]\n", - " [ 0.11085065]\n", - " [-1.01510744]\n", - " [ 0.55275035]\n", - " [-0.70237456]] \n", + " [[ 0.573234 ]\n", + " [-0.17098277]\n", + " [-0.71530812]\n", + " [ 0.87669965]\n", + " [-1.11447904]] \n", "\n", "Otrzymana macierz parametrów theta dla klasy 2:\n", - " [[-0.44893077]\n", - " [-1.60497843]\n", - " [-1.86196767]\n", - " [ 2.36049057]\n", - " [ 2.5959696 ]] \n", + " [[-0.32900921]\n", + " [-1.66338352]\n", + " [-1.78563311]\n", + " [ 2.34323547]\n", + " [ 2.66006068]] \n", "\n" ] } @@ -6277,7 +6297,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": { "slideshow": { "slide_type": "subslide" @@ -6300,7 +6320,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 34, "metadata": { "scrolled": true, "slideshow": { @@ -6313,29 +6333,29 @@ "output_type": "stream", "text": [ "Dla x = [[1. 7.3 2.9 6.3 1.8]]:\n", - "Po zastosowaniu regresji: [-7.82279188 0.64765672 1.97885627]\n", - "Otrzymane prawdopodobieństwa: [0. 0.209 0.791]\n", + "Po zastosowaniu regresji: [-7.83341312 0.76781174 1.90044778]\n", + "Otrzymane prawdopodobieństwa: [0. 0.244 0.756]\n", "Wybrana klasa: 2\n", "Obliczone y = 2\n", "Oczekiwane y = 2\n", "\n", "Dla x = [[1. 4.8 3. 1.4 0.3]]:\n", - "Po zastosowaniu regresji: [ 2.6443404 -1.38589555 -9.65525259]\n", - "Otrzymane prawdopodobieństwa: [0.983 0.017 0. ]\n", + "Po zastosowaniu regresji: [ 2.73127055 -1.50037187 -9.59160157]\n", + "Otrzymane prawdopodobieństwa: [0.986 0.014 0. ]\n", "Wybrana klasa: 0\n", "Obliczone y = 0\n", "Oczekiwane y = 0\n", "\n", "Dla x = [[1. 7.1 3. 5.9 2.1]]:\n", - "Po zastosowaniu regresji: [-6.96262088 0.09216334 1.94824984]\n", - "Otrzymane prawdopodobieństwa: [0. 0.135 0.865]\n", + "Po zastosowaniu regresji: [-6.89968523 0.04545391 1.91528519]\n", + "Otrzymane prawdopodobieństwa: [0. 0.134 0.866]\n", "Wybrana klasa: 2\n", "Obliczone y = 2\n", "Oczekiwane y = 2\n", "\n", "Dla x = [[1. 5.9 3. 5.1 1.8]]:\n", - "Po zastosowaniu regresji: [-5.24242014 -0.27234536 1.20704063]\n", - "Otrzymane prawdopodobieństwa: [0.001 0.185 0.813]\n", + "Po zastosowaniu regresji: [-5.4132216 -0.11638277 1.23873883]\n", + "Otrzymane prawdopodobieństwa: [0.001 0.205 0.794]\n", "Wybrana klasa: 2\n", "Obliczone y = 2\n", "Oczekiwane y = 2\n", diff --git a/wyk/05_Metody_ewaluacji.ipynb b/wyk/05_Metody_ewaluacji.ipynb index 11aa940..0555935 100644 --- a/wyk/05_Metody_ewaluacji.ipynb +++ b/wyk/05_Metody_ewaluacji.ipynb @@ -307,7 +307,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 1, "metadata": { "slideshow": { "slide_type": "notes" @@ -329,7 +329,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 2, "metadata": { "slideshow": { "slide_type": "notes" @@ -348,7 +348,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "notes" @@ -420,7 +420,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "notes" @@ -444,7 +444,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" @@ -453,7 +453,7 @@ "outputs": [ { "data": { - 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\n", + "image/png": 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", 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" ] @@ -468,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "notes" @@ -515,7 +515,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "notes" @@ -543,7 +543,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" @@ -573,7 +573,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "notes" @@ -595,7 +595,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" @@ -609,7 +609,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "notes" @@ -629,7 +629,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 12, "metadata": { "scrolled": true, "slideshow": { @@ -640,7 +640,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "00f3cd62b33841aeb4201c375f7fb8db", + "model_id": "3223b3857c254355a1e9900f24e0b07c", "version_major": 2, "version_minor": 0 }, @@ -657,7 +657,7 @@ "" ] }, - "execution_count": 35, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -1163,9 +1163,19 @@ } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1240/3692702518.py:59: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta0=float(theta[0][0]),\n", + "/tmp/ipykernel_1240/3692702518.py:60: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta1=(float(theta[1][0]) if theta[1][0] >= 0 else float(-theta[1][0])),\n" + ] + }, { "data": { - "image/png": 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\n", 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", 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" ] @@ -1214,7 +1224,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": { "slideshow": { "slide_type": "notes" @@ -1237,16 +1247,26 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_1240/3692702518.py:59: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta0=float(theta[0][0]),\n", + "/tmp/ipykernel_1240/3692702518.py:60: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " theta1=(float(theta[1][0]) if theta[1][0] >= 0 else float(-theta[1][0])),\n" + ] + }, { "data": { - "image/png": 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7fAAAWtCuma4tW7Zo48aNGjZsmJxOpy699FLdfPPN8ng8Kiws1OTJkyM9TgAAoistTZo61e5S2LSJRmMul30es1wAgCDaNdNVVVWlXr16SZIuvPBCnThxQpI0cOBA7du3L3KjAwAglgoKpNaWzNfXSw88EJ3xAAASUrtCV79+/XTo0CFJ0qBBg/TUU0/p2LFjWrt2rXJyciI6QAAAYmb0aGn1asnhsGe0GnO57OOrV0ujRsVmfACAhNCu0LVw4UKVlpZKkpYuXarXXntNvXv31n//93/rP/7jPyI6QAAAYmrePGn7dnsJYUONl9Np39++3X4cAIAQHJZlWR19ktOnT+uvf/2revfurZ49e0ZiXHHD6/UqMzNTFRUV8lAkDQBdW3W13aXQ46GGCwA6KRPv/zu0T1eDbt26aejQoZF4KgAA4ldaGmELANBm7Qpd9fX1WrdunYqKinT8+HH5muxjsmXLlogMDgAAdCHMJALopNoVuhYuXKh169Zp8uTJGjBggBwOR6THBQAAuoriYmn5cmnjRnuj6YaaucWLaVICoFNoV01Xz5499dxzz2nSpEkmxhRXqOkCAMCgNWuk+fOlpKTA/dBcLrsd/+rVNCsBEFUm3v+3q3thSkqK+vbtG5EBAACALqq42A5cltV8A+q6Ovv4ffdJO3bEZnwAECHtCl2LFy/WT3/6U0Wg8SEAAOiqli+3Z7hCSUqSVqyIzngAwJB2LS+cPn263nzzTfXo0UNXX321kpOTAx5/6aWXIjbAWGN5IQAABlRXS+npdg1Xa5xOqbKS5hoAoiJuWsZ3795d06dPj8gAAABAF+T1hhe4JPs8r5fQBSBhtSt0Pfvss5EeBwAA6Eo8HnsGK9yZLlabAEhg7arpkqS6ujpt3rxZTz31lE6dOiVJ+vzzz1VZWRmxwQEAgE4qLc1uC+9q5f9/XS5p+nRmuQAktHbNdH366ae69dZbdeTIEdXU1Ojmm29WRkaGli1bppqaGq1duzbS4wQAAJ1NQYG0YUPoc+rrpQceiMpwAMCUds10LVy4UMOGDdNXX32ltEb/8zR9+nQVFRVFbHAAAKATGz3a3ofL4Wg+4+Vy2cdXr2aDZAAJr12ha/v27XrkkUeUkpIScPyyyy7TsWPHIjIwAADQBcybJ23fbi81dJ57W+J02ve3b2djZACdQruWF/p8PtXX1zc7/tlnnykjI6PDgwIAAF3IqFH2rbra7lLo8VDDBaBTaddM1y233KKVK1f67zscDlVWVmrp0qWaNGlSpMYGAAC6krQ0KSuLwAWg02nX5sifffaZJkyYIMuy9OGHH2rYsGH68MMPddFFF2n79u3q1auXibHGBJsjAwAAAF2Hiff/7Qpdkt0y/sUXX9R7772nyspKDR06VLNmzQporNEZELoAAACArsPE+/921XQVFhYqKytL//iP/6hZs2b5jz/zzDM6ceKEHnrooYgMDgAAdDHUdQHohNpV0/XUU0+pf//+zY5fffXV7NEFAADarrhYmjFDSk+XsrPtjzNmSDt2xHpkANBh7QpdZWVlysnJaXb84osvVmlpaYcHBQAAupA1a6QxY6Q//Uny+exjPp99/4YbJP5DF0CCa1foysvL044W/udpx44dys3N7fCgAABAF1FcLM2fL1mWVFcX+FhdnX38vvuY8QKQ0NpV0zV37lwtWrRItbW1+va3vy1JKioq0oMPPqjFixdHdIAAAKATW75cSkpqHrgaS0qSVqyw9/ICgATUrpmuH/7wh7r77rt13333qU+fPurTp4/uv/9+/fM//7OWLFkS6TEGWLVqlS677DKlpqZqxIgR2r17d9Bz161bJ4fDEXBLTU01Oj4AQBRUV0vl5fZHJK7qamnjxtCBS7IfX7+eP28ACatdocvhcGjZsmU6ceKE3nnnHb333ns6efKkHn300UiPL8CLL76ogoICLV26VPv27dOgQYM0YcIEHT9+POg1Ho9HpaWl/tunn35qdIwAAINottC5eL3na7ha4/PZ5wNAAmpX6GqQnp6u6667TgMGDJDb7Y7UmIJavny55s6dqzlz5uhb3/qW1q5dq27duumZZ54Jeo3D4VB2drb/lpWVZXycAAAD4qHZwsmT0sGD9kd0nMcjOcN8K+J02ucDQALqUOiKprNnz2rv3r0aP368/5jT6dT48eO1c+fOoNdVVlbq0ksvVV5enqZOnar3338/5NepqamR1+sNuAEAYizWzRZWr5Zyc6WLLpIGDrQ/5ubaQRDtl5YmhfufodnZ7NsFIGElTOj64osvVF9f32ymKisrS2VlZS1e069fPz3zzDPauHGj/vd//1c+n08jR47UZ599FvTrFBYWKjMz03/Ly8uL6PcBAGiHhmYLoTQ0W4i0mTPtwNd0S5TSUjvo3X575L9mV1FdLQX5N7yZ0lJqugAkrIQJXe2Rn5+v2bNna/DgwRo7dqxeeuklXXzxxXrqqaeCXrNkyRJVVFT4b0ePHo3iiAEAzcSy2cLq1dILL4Q+5ze/Ycarvbxee5YyHJZFTReAhJUwoatnz55KSkpSeXl5wPHy8nJlZ2eH9RzJyckaMmSIPvroo6DnuN1ueTyegBsAIIZi2Wzhxz+O7HkIRE0XgC6iXft0xUJKSoquvfZaFRUVadq0aZIkn8+noqIiLViwIKznqK+v14EDBzRp0iSDIwUAdFh1tR2ePJ7zb8zDCV6RfGN+8mTzJYXBfP65fX6PHpH52l1FWpo0dardDCXUTKbLZZ9HTReADrIsS2dqfTp1plbeM7WqqK6T90ytTp2pk7faPnb8y68j/nUTJnRJUkFBge68804NGzZMw4cP18qVK1VVVaU5c+ZIkmbPnq1LLrlEhYWFkqQf/ehHuv7669W3b199/fXX+q//+i99+umn+v73vx/LbwMAEExxsV2/tXGjHbKcTvvN9ujR0ttvR/eN+eeft/18QlfbFRRIGzaEPqe+XnrggagMB0B8syxLlTV1dkg6UytvtR2WTtWc/9wfohoebxKqautDL2v21ZyO+LgTKnTddtttOnHihB599FGVlZVp8ODBev311/3NNY4cOSJno2UKX331lebOnauysjJdeOGFuvbaa/X222/rW9/6Vqy+BQBIHI1nm6Ixw7Bmjd2wIimpeUv41uq5pMi/Mc/NNXt+LET7zzQco0fbtXP33Wf/2Tf+s3a57D/X1aulUaNiN0YAEVPvs1R5LhBVnAtB3uq6czNPTUJT48drzp/nC7MUNJ44LCvcCtauyev1KjMzUxUVFdR3Aegags02LV5s7o1vcbG9B1c4/yS5XMHfmM+bF9lx5eaGt8QwN1c6diyyXzuSYvFn2lY7dtjdJ9evPz/G6dPtIB0vYwSgs3W+1gNS0MfrVFkTxn+iRZjTIWWkJsuT5pInNVkZqfZHT1ry+ftpyfKc++isrdYtQ/pE9P0/oasVhC4AXUrj2aZoBRtJmjEjvLqeUaOknj2j98Z89Wr75xHOeffeG/mvHwlt+TONh5mweBgD0EmFU8/U2qzTmdowGxtFUHKSo1FIcgUEKE9asjLc50KTP1QFPn5BSpIcDkfYX8/E+39CVysIXQC6jHBnm159VZo4MXJft7paSk8Pv1FGZaX9ebTemN9+u90WPpiZM6Xnnzc7hvYK58/U4ZB+/nNp8+b4ngkDIMuyVHW2voWA1Li2KTBAtbWeyYTUZOf5gBQwy9RCgDr3eGajY26Xs02hqaMIXTFA6ALQZYQz29QgJ0f613+NzOxOebkU5tYfkuzNdM/V8koKPTMSqVmTNWvstvCNm2vk5kqPPBK/M1xSeH+mDZ0ho7lsE+iiWqpnarz0zlvduAFE84YQsapnSne7/Evvwg1NjR9PcSXMLlWSCF0xQegC0CW0ZbapsUjM8rRnpistLXSdkmWZqWE6edIOXrm58d+psL1/pk05HPYs2NVXs+QPXV6i1zNluFsPSA2PZ56rd0pPdSnJGb1ZpnhA6IoBQheAhNOe2Z22zjY11t56psbjnDUr/L2afv/70HVKDfe7+sxNR/5MG3M4zi9PZNkhEphlWaqp8/nDUEUrAcmedQp8PNb1TOdDUgsNIfyhKvDxC1Jccnax0NRRhK4YIHQBSBgd6VDXkVmRtnbua2mco0dLb70V+jqHQ9q+3Q4A4XY6DPU8nT00RGqmq6muFl4RN9pTz9Q0NMWynul8h7wQAerc45mNGkKkJke3nglm3v8n1D5dAIAgQu1xtWGD9JOfSPffH3zma+9eu04qnPboTX3+ub3sLpzldsHG+fbb588JNUM1apRdp9R0hqstkpLs1uSdPXSlpdmhO9w6vXA1PNd990kDB8b3zzGRloN2AU3rmQJrl84FpOr4rWcKXrvUcse8jFSXMlJdcruSoj9oxB1mulrBTBeAuBdu10GHQ5o2rfnMV0MQcjjaPyty4IA0YEBkxjl2rD0T1VJL+EjN3jSuDevM2rL/WVs1Xu4Zb1avthufNP5PhEg2f+mimtYztdjwIWhDiNjUMzkcarIML3hA8jSpZ8pIdSnd7ZIrKbGaQKDjmOkCADS3fHl4Mz+WZc96rF8vLVtmz3zt3WsHLsvq2Bvzo0dbD13hjNPlsvfhqqxsuS7N643Mcjmfz36uzh66Ro+2A8h99wWvf2voXthWdXX2a6m6Or5+jjNnSi+80Px4aan9c9i+PX5b/BvUtJ7J20pAipd6JpfT4Q9A55fmtdIQIu3crBT1TIgjzHS1gpkuAHEhWHOMjsz8OJ32ksLjx+3lex3VEORaegPe3g6FHXme9n6NzmjHDntJZcOm0pI0ZYp0663SggUdC9xNW/jHQsPfj9/8xp4VbU08b2YdRNN6prZ0zGsIVWfrox+aUpOd/gDUEJqaBagmj2f6j1HPhNigkUYMELoAxFRrzTEi1aEuUoI17+joXlyNtWU/sZbE87I4k1avlh5/3P7ZNsjJkcaNs2eG2lMnF+vw2vTvR7ja2vwlAtpaz+R/PA7qmUI1fPA0CkhNH6eeCYmK0BUDhC4AMROqLXp9vbRypfR3fyddcUXkO9R1REvd7SI10yV1vE6pq3QvbCzYkrsG48dLmZmBM2GtiXV4Dfb3I1xfftmm5hqN65mCBqQQAepUjOqZMtzhBaTGxxo+p54JXRWhKwYIXQBioq3BovFeSvGiabgJZ4Yq3Dfya9eGrlNq+nnD/a7Y6nz1ajuchHPeXXfZy/QOHpRuvjn0a6ql8NqePeLao41/PyxJNa4Ued0XyJt6gf3x2V/Jm3VJiNAUuDSvujYCS3DbyOV0+DetDViaFzQ0Nb5PPRPQXoSuGCB0AYiJji6hiwcNAerpp+223a+9Jj34YOhr2jIL1bROqXGnQyn4Y11phkuyl9KFsxVA0yV3oYJt0/DakT3iwtC4nunUmTp5Cx6Ud2+JvK5UnWocpFLT5XVfoFPubvK60/3HT7kv0FlXcofH0VZulzMgNAWvbWoUnBp9Tj0TEBuErhggdAGIOlOb2sYzp9OetWjPLFSo2ZVozbzEq5MnpYsuCv/8pkvuQgXbhjDV2jLY1atVf88/+euZvEGX5tWdawDR6PFGDSFiUc90QUpSyIYPoRpCUM8EJC5axgNAVxCptuiJxOczs+wvLa1rhq0Gn3/e9vMbh65Ro6RRo3S2skqnTnylUylp8lpJdig6UKpTBz6Qd90meUfPsmeazs0qnZ95ukCnDl2gU//yamS/rzA4LJ8yak7Lc6ZSnpqqgM89I4crY/i1gTNM1DMBMIjQBQDR0DDjkpws1daGnnnxeNq/d1KicrmkoqLgbbxbmrEyvKStU8jNDaxnarIU71RKt3P37aV4p/ZWyvvu7mYNIULWM914t5GhN61n8tcyJTvkeXq1Ms5UnQ9RZ6qUUVPl/9xTU6kLzp6RUy1Mj82cKf2/mUbGDADBsLywFSwvBNAhDcFgw4bAov/WAkJnqOlqq5a6FgYLVn36SE8+2byBSMP9NWs6TbOMZvVM/iYPLe/F1KwhREWVzibFoJ6ptsYOQQ2zTDfky3OBu/lGto3rmvzHWqlnas/fj9xc6ZFHEm5/LgDRR01XDBC6ALRbQ62Lw9HyrFWoOqaOtkVPVAcO2C3w09KC1wolJYW3mXNxcVzMeDXenymwdqmlzW2bPH7uY30MCpoa1zM1bfiQkeqSp65Gnv/3kDxnKu1QVVPVaClfldz1TQJRJDdRDufvh8MhvfKKlJdnB642tIcH0LURumKA0AWgXdoSmoJ17Fu7tmv+r7zTKY0eLb31VseeZ+xYaevWDg+ntt7XesOHFh8/N/sU4/2ZMlKT5fn4Q3mO/O38rFNN5blleOduI0fI8+N/a1s9UyT3XmuPtnRXBIA2oJEGACSK5cvD37TV4ZCWLJF+8xvpkkvsY8XF9pvKrsjns0NoR23bJuv0adUku1vtmBdqg9tY78+U0aTJQ/NZp0ZL9M7NQqU325/pBnvm8Mc/Dmyu0ZEld2lp9lLPcPdei3RDk3nzpIEDm3dXnDq1a24NACCuMdPVCma6ALRZdbXUrVv7rnW77VmeoqLIjilBWZKqUtLO77vU0BGvSVOIgI557nT7/NQL5M24UGdj0I+kYX+mprVLGanJ8mx6TZ6SPeeW4p1blndu5imj5rQ8fzdRaf/7nLn9mU6etINXJJbchbvML9y919qrq28NACCiWF4YA4QuAG1SUGAva6qpifVIOqZhidagQdLBg+1u6FHvcKoyJa1RQDrXJa+FzWtbClGn3Beo3hn9vY4a6plaDE1p54+19HhGqkupyUHGvHq1XafWmtWrE2dpKcv8AHQyhK4YIHQBCNuwYdLevbEeRWTk5koPPaTa3pfp1KzZ8vpbizeeVToXoFK6yZuaHjQ0RVvD/kwZ/vbhdoOHjNpqeaor5blprDyjrw/cm6lRgMpINbg/U26uVFoa3nnHjpkZgwnhbKIMAAmC0BUDhC4AYSkosN90xpkzSckBAanZrFJqhr3hbWrjpXvnl/JVp6RGfcyu+jp/B7zGzR6ahagmDSEaHk8/W93y/kwNorHcrSUnT0oXXRT++V9+mXgd91jmB6AToJEGAMSr1asj/pSWpNPJqedDk/tcIEoNXtvUdCbqrCs2+zP5A1GLG9c2/fxcgDq3qW1abY0MVTPZkpLsgBzt0NW4gUW45yda6EpLI2wBQAsIXQDQUceOtVjD5ZPj3KzR+RDkb/Dgr206H5aahqiY1TPVnFbG2fMhyN/goemsUqPglNEoXKXW10Z9zG1SV2cvg6uujm5AyM01ez4AIG4RugAgiNp6X8AGti1vZlsn7yefyTvjX+Omnindv1FtC8vyas51zAsIVOcDVPrZ00r2Rb9FetT5fPYyuGiGrh49pJyc8Gu6Em2WCwAQFKELQKd1pra+xc1qA0NT8MfbtD/TlSMiMuYkX/25VuJVrc4qtTQL1Wo9E2xOp113FG2PPBJe98JHHjE/FgBA1BC6AMQly7J0+mzT0NTKBrdn6nSqUWg6Wx/9DZpS6s6eD0Q15wJRkxAVPFBFoZ4J5jbrDcd999l7W/3mN8HPmTkzcdrFAwDCQugCYITPZ+lUTUtL8+qaBKZGjzeZdar3RX/GpltKUkAr8YxU17k9mOxjGanJLT9e+GNl/Pfy+K9ngr131AMPxO7rP/+8dMMN0o9/HNhcIzfXnuEicAFAp0PL+FbQMh5dVdj1TA3HGoep6lpVnq1TtH+7OBxSuruljWvPfWwlQKWnupTckf2ZhgyRSkoi9v0gwuJxs96TJ+3gRQ0XAMQNWsYDCFvjeqamAam1AHXqTJ1On41+M4UkpyMgGDUNTRlBNrP1pNnXpKe45HTGcHHe229L3brF7uujOYdDsiy7hmvq1PjbrLdHD8IWAHQBhC4gDjWtZ2qt4UOzeqYzdTpbF4N6piSnHZj8s0iNZpb8n7uaBKbzAatbSpIcjgSuaEpLk6ZPlzZsUMhpPodDGjNG2rYtakPrMJfLbrVuUlKSPRMVCQ11W7/6FZv1AgBijtAFGNC4nimwdqmuWTOIeK1nahqaWq5tCnw8NTn6e0rFnYICO3S15t//XfrZz6QXXzQ+JElSUZG0Z4/00ENtDzeNZ4kOHLCbQSQlBYYwp9Nuw94RPp/0gx9ITz7Z/Pkbh75wxt9Qt8VmvQCAOEDoAlrQuJ6pxYYP1Y2X4zXvpldZE/16Jkn+2aOmAalpPVNLASqjo/VMsI0ebdcMtRRMGtcUjRpl3778Utq82eyY1qyRvv1t+zZqlLRihfTSS6Fn4xpC1LJl0v33nw8uo0ZJAwfaz7F+vX2O02nP8FVUhP5ehg2T9u4N/XOZN0+aNq358zeEPin0+Jv+jAEAiAM00mgFjTQSU6LXM/mX3rXWMa/R4+lul5JiWc+EQDt2tBxMWqopWrNGevzx4Jvm5uZKZWXNZ5IcDik5WTp7tuXrvvOd4DVM1dV2QHrmGemPfwx8bodDmjGj9fqn6urmS/fWrAndla8tP5eWnj/U+EM9FwAAYTLx/p/Q1QpCV/Q1rmcKt2Pe+Xome6YppvVMqS5lpDWpYfLXLrmCNoNI+HomtCxUcGiqcSe7tLTA6xo/jxT4WKjr2jLG5GSptjYy9U+tdeVry8+lNZF8LgBAl0foigFCV9u1pZ7J/3iTUBXLeqaMMBo+tPQ49UwAAACJj5bxiIqGeqagASmgjinO65nCDFDUMwEAAMAUQlcn1FDP1LThQ2sNIRoej2U9U8DSuzA75nnSqGcCAABA/CJ0xZmGeqbWO+bFYz3TuZmmgDqmIBvZNtnolnomAAAAdFaErghrqGcKvjSvYR+mxpvaBoaqWNQzpSUnhQxIzZfmBc5KUc8EAAAAtIzQFaaX9n6mOldq/NYzuRvVLLWhYx71TAAAAIBZhK4wPfrH9+V0dzPy3E6HAuuW3IEBqbWOetQzAQAAAPGL0BUBrdUztdwMgnomAAAAoCsgdIXpX6dcpeyLerRY70Q9EwAAAIBgCF1hum1YbzZHBgAAANBmdE8AAAAAAIMIXQAAAABgEKELAAAAAAwidAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAAAAgEGELgAAAAAwiNAFAAAAAAYRugAAAADAIEIXAAAAABhE6AIAAAAAgwhdAAAAAGAQoQsAAAAADEq40LVq1SpddtllSk1N1YgRI7R79+6Q5//ud79T//79lZqaqoEDB+rVV1+N0kgBAAAAIMFC14svvqiCggItXbpU+/bt06BBgzRhwgQdP368xfPffvttzZw5U3fffbf279+vadOmadq0aTp48GCURw4AAACgq3JYlmXFehDhGjFihK677jr9/Oc/lyT5fD7l5eXp/vvv18MPP9zs/Ntuu01VVVV6+eWX/ceuv/56DR48WGvXrg3ra3q9XmVmZqqiokIejycy3wgAAACAuGTi/X/CzHSdPXtWe/fu1fjx4/3HnE6nxo8fr507d7Z4zc6dOwPOl6QJEyYEPV+Sampq5PV6A24AAAAA0F4JE7q++OIL1dfXKysrK+B4VlaWysrKWrymrKysTedLUmFhoTIzM/23vLy8jg8eAAAAQJeVMKErWpYsWaKKigr/7ejRo7EeEgAAAIAE5or1AMLVs2dPJSUlqby8POB4eXm5srOzW7wmOzu7TedLktvtltvt7viAAQAAAEAJNNOVkpKia6+9VkVFRf5jPp9PRUVFys/Pb/Ga/Pz8gPMladOmTUHPBwAAAIBIS5iZLkkqKCjQnXfeqWHDhmn48OFauXKlqqqqNGfOHEnS7Nmzdckll6iwsFCStHDhQo0dO1ZPPvmkJk+erBdeeEF79uzR008/HctvAwAAAEAXklCh67bbbtOJEyf06KOPqqysTIMHD9brr7/ub5Zx5MgROZ3nJ+9Gjhyp559/Xo888oj+5V/+RVdeeaU2bNigAQMGxOpbAAAAANDFJNQ+XbHAPl0AAABA19Gl9+kCAAAAgERE6AIAAAAAgwhdAAAAAGAQoQsAAAAADCJ0AQAAAIBBhC4AAAAAMIjQBQAAAAAGEboAAAAAwCBCFwAAAAAYROgCAAAAAIMIXQAAAABgEKELAAAAAAwidAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAAAAgEGELgAAAAAwiNAFAAAAAAYRugAAAADAIEIXAAAAABhE6AIAAAAAgwhdAAAAAGAQoQsAAAAADCJ0AQAAAIBBhC4AAAAAMIjQBQAAAAAGEboAAAAAwCBCFwAAAAAYROgCAAAAAIMIXQAAAABgEKELAAAAAAwidAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAAAAgEGELgAAAAAwiNAFAAAAAAYRugAAAADAIEIXAAAAABhE6AIAAAAAgwhdAAAAAGAQoQsAAAAADCJ0AQAAAIBBhC4AAAAAMIjQBQAAAAAGEboAAAAAwCBCFwAAAAAYROgCAAAAAIMIXQAAAABgEKELAAAAAAwidAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMSpjQdfLkSc2aNUsej0fdu3fX3XffrcrKypDXjBs3Tg6HI+A2b968KI0YAAAAACRXrAcQrlmzZqm0tFSbNm1SbW2t5syZo3vuuUfPP/98yOvmzp2rH/3oR/773bp1Mz1UAAAAAPBLiND1wQcf6PXXX9e7776rYcOGSZJ+9rOfadKkSXriiSeUm5sb9Npu3bopOzs7WkMFAAAAgAAJsbxw586d6t69uz9wSdL48ePldDq1a9eukNf++te/Vs+ePTVgwAAtWbJEp0+fDnl+TU2NvF5vwA0AAAAA2ishZrrKysrUq1evgGMul0s9evRQWVlZ0Otuv/12XXrppcrNzdWf//xnPfTQQzp06JBeeumloNcUFhbqsccei9jYAQAAAHRtMQ1dDz/8sJYtWxbynA8++KDdz3/PPff4Px84cKBycnJ000036fDhw7riiitavGbJkiUqKCjw3/d6vcrLy2v3GAAAAAB0bTENXYsXL9Zdd90V8pw+ffooOztbx48fDzheV1enkydPtqlea8SIEZKkjz76KGjocrvdcrvdYT8nAAAAAIQS09B18cUX6+KLL271vPz8fH399dfau3evrr32WknSli1b5PP5/EEqHCUlJZKknJycdo0XAAAAANoqIRppXHXVVbr11ls1d+5c7d69Wzt27NCCBQv0ve99z9+58NixY+rfv792794tSTp8+LAef/xx7d27V5988on++Mc/avbs2RozZoyuueaaWH47AAAAALqQhAhdkt2FsH///rrppps0adIkjR49Wk8//bT/8draWh06dMjfnTAlJUWbN2/WLbfcov79+2vx4sX6zne+oz/96U+x+hYAAAAAdEEOy7KsWA8innm9XmVmZqqiokIejyfWwwEAAABgkIn3/wkz0wUAAAAAiYjQBQAAAAAGEboAAAAAwCBCFwAAAAAYROgCAAAAAIMIXQAAAABgEKELAAAAAAwidAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAAAAgEGELgAAAAAwiNAFAAAAAAYRugAAAADAIEIXAAAAABhE6AIAAAAAgwhdAAAAAGAQoQsAAAAADCJ0AQAAAIBBhC4AAAAAMIjQBQAAAAAGEboAAAAAwCBCFwAAAAAYROgCAAAAAIMIXQAAAABgEKELAAAAAAxyxXoA8c6yLEmS1+uN8UgAAAAAmNbwvr8hB0QCoasVp06dkiTl5eXFeCQAAAAAouXLL79UZmZmRJ7LYUUywnVCPp9Pn3/+uTIyMuRwOGI9nE7L6/UqLy9PR48elcfjifVwEGd4fSAYXhsIhdcHguG1gVAqKirUu3dvffXVV+revXtEnpOZrlY4nU594xvfiPUwugyPx8MvPwTF6wPB8NpAKLw+EAyvDYTidEau/QWNNAAAAADAIEIXAAAAABhE6EJccLvdWrp0qdxud6yHgjjE6wPB8NpAKLw+EAyvDYRi4vVBIw0AAAAAMIiZLgAAAAAwiNAFAAAAAAYRugAAAADAIEIXAAAAABhE6ELMnDx5UrNmzZLH41H37t119913q7KyMuQ148aNk8PhCLjNmzcvSiOGSatWrdJll12m1NRUjRgxQrt37w55/u9+9zv1799fqampGjhwoF599dUojRTR1pbXxrp165r9jkhNTY3iaBEtb731lqZMmaLc3Fw5HA5t2LCh1Wu2bt2qoUOHyu12q2/fvlq3bp3xcSI22vr62Lp1a7PfHQ6HQ2VlZdEZMKKmsLBQ1113nTIyMtSrVy9NmzZNhw4davW6jr7vIHQhZmbNmqX3339fmzZt0ssvv6y33npL99xzT6vXzZ07V6Wlpf7bf/7nf0ZhtDDpxRdfVEFBgZYuXap9+/Zp0KBBmjBhgo4fP97i+W+//bZmzpypu+++W/v379e0adM0bdo0HTx4MMojh2ltfW1IksfjCfgd8emnn0ZxxIiWqqoqDRo0SKtWrQrr/I8//liTJ0/WjTfeqJKSEi1atEjf//739cYbbxgeKWKhra+PBocOHQr4/dGrVy9DI0SsbNu2TfPnz9c777yjTZs2qba2VrfccouqqqqCXhOR9x0WEAN/+ctfLEnWu+++6z/22muvWQ6Hwzp27FjQ68aOHWstXLgwCiNENA0fPtyaP3++/359fb2Vm5trFRYWtnj+d7/7XWvy5MkBx0aMGGH90z/9k9FxIvra+tp49tlnrczMzCiNDvFCkrV+/fqQ5zz44IPW1VdfHXDstttusyZMmGBwZIgH4bw+3nzzTUuS9dVXX0VlTIgfx48ftyRZ27ZtC3pOJN53MNOFmNi5c6e6d++uYcOG+Y+NHz9eTqdTu3btCnntr3/9a/Xs2VMDBgzQkiVLdPr0adPDhUFnz57V3r17NX78eP8xp9Op8ePHa+fOnS1es3PnzoDzJWnChAlBz0dias9rQ5IqKyt16aWXKi8vT1OnTtX7778fjeEizvF7A+EYPHiwcnJydPPNN2vHjh2xHg6ioKKiQpLUo0ePoOdE4veHq33DAzqmrKys2ZS9y+VSjx49Qq6fvv3223XppZcqNzdXf/7zn/XQQw/p0KFDeumll0wPGYZ88cUXqq+vV1ZWVsDxrKws/fWvf23xmrKyshbPZ+1959Ke10a/fv30zDPP6JprrlFFRYWeeOIJjRw5Uu+//76+8Y1vRGPYiFPBfm94vV5VV1crLS0tRiNDPMjJydHatWs1bNgw1dTU6Be/+IXGjRunXbt2aejQobEeHgzx+XxatGiRRo0apQEDBgQ9LxLvOwhdiKiHH35Yy5YtC3nOBx980O7nb1zzNXDgQOXk5Oimm27S4cOHdcUVV7T7eQF0Dvn5+crPz/ffHzlypK666io99dRTevzxx2M4MgDxrF+/furXr5///siRI3X48GGtWLFCv/rVr2I4Mpg0f/58HTx4UMXFxca/FqELEbV48WLdddddIc/p06ePsrOzmxXC19XV6eTJk8rOzg77640YMUKS9NFHHxG6ElTPnj2VlJSk8vLygOPl5eVBXwvZ2dltOh+JqT2vjaaSk5M1ZMgQffTRRyaGiAQS7PeGx+NhlgstGj58eFTejCM2FixY4G/k1tpKiEi876CmCxF18cUXq3///iFvKSkpys/P19dff629e/f6r92yZYt8Pp8/SIWjpKREkr0sAIkpJSVF1157rYqKivzHfD6fioqKAmYsGsvPzw84X5I2bdoU9Hwkpva8Npqqr6/XgQMH+B0Bfm+gzUpKSvjd0QlZlqUFCxZo/fr12rJliy6//PJWr4nI74/2dvoAOurWW2+1hgwZYu3atcsqLi62rrzySmvmzJn+xz/77DOrX79+1q5duyzLsqyPPvrI+tGPfmTt2bPH+vjjj62NGzdaffr0scaMGROrbwER8sILL1hut9tat26d9Ze//MW65557rO7du1tlZWWWZVnWHXfcYT388MP+83fs2GG5XC7riSeesD744ANr6dKlVnJysnXgwIFYfQswpK2vjccee8x64403rMOHD1t79+61vve971mpqanW+++/H6tvAYacOnXK2r9/v7V//35LkrV8+XJr//791qeffmpZlmU9/PDD1h133OE//29/+5vVrVs364c//KH1wQcfWKtWrbKSkpKs119/PVbfAgxq6+tjxYoV1oYNG6wPP/zQOnDggLVw4ULL6XRamzdvjtW3AEPuvfdeKzMz09q6datVWlrqv50+fdp/jon3HYQuxMyXX35pzZw500pPT7c8Ho81Z84c69SpU/7HP/74Y0uS9eabb1qWZVlHjhyxxowZY/Xo0cNyu91W3759rR/+8IdWRUVFjL4DRNLPfvYzq3fv3lZKSoo1fPhw65133vE/NnbsWOvOO+8MOP+3v/2t9c1vftNKSUmxrr76auuVV16J8ogRLW15bSxatMh/blZWljVp0iRr3759MRg1TGto8d301vB6uPPOO62xY8c2u2bw4MFWSkqK1adPH+vZZ5+N+rgRHW19fSxbtsy64oorrNTUVKtHjx7WuHHjrC1btsRm8DCqpdeFpIDfBybedzjOfXEAAAAAgAHUdAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAGDYJ598IofDoZKSklgPBQAQAw7LsqxYDwIAgHgxbtw4DR48WCtXrozYc9bX1+vEiRPq2bOnXC5XxJ4XAJAY+M0PAEAbWZal+vr6sANUUlKSsrOzDY8KABCvWF4IAEhY48aN0/33369FixbpwgsvVFZWlv7nf/5HVVVVmjNnjjIyMtS3b1+99tpr/msOHjyoiRMnKj09XVlZWbrjjjv0xRdfSJLuuusubdu2TT/96U/lcDjkcDj0ySefaOvWrXI4HHrttdd07bXXyu12q7i4WIcPH9bUqVOVlZWl9PR0XXfdddq8ebP/azVc1/R21113RftHBQCIIUIXACCh/fKXv1TPnj21e/du3X///br33nv1D//wDxo5cqT27dunW265RXfccYdOnz6tr7/+Wt/+9rc1ZMgQ7dmzR6+//rrKy8v13e9+V5L005/+VPn5+Zo7d65KS0tVWlqqvLw8/9d6+OGH9ZOf/EQffPCBrrnmGlVWVmrSpEkqKirS/v37deutt2rKlCk6cuSIJGnkyJH+5yktLdWWLVuUmpqqMWPGxORnBQCIDWq6AAAJa9y4caqvr9f27dsl2bVTmZmZmjFjhp577jlJUllZmXJycrRz505t3rxZ27dv1xtvvOF/js8++0x5eXk6dOiQvvnNb7ZY07V161bdeOON2rBhg6ZOnRpyTAMGDNC8efO0YMGCgONffvmlhg8frokTJ+rnP/95hH4CAIBEQE0XACChXXPNNf7Pk5KSdNFFF2ngwIH+Y1lZWZKk48eP67333tObb76p9PT0Zs9z+PBhffOb3wz5tYYNGxZwv7KyUv/2b/+mV155RaWlpaqrq1N1dbV/pqtBbW2tvvOd76hPnz4RbdABAEgMhC4AQEJLTk4OuO9wOAKOORwOSZLP51NlZaWmTJmiZcuWNXuenJycVr/WBRdcEHD/Bz/4gTZt2qQnnnhCffv2VVpamv7+7/9eZ8+eDTjv3nvv1bFjx7R79266FwJAF8RvfgBAlzF06FD94Q9/0GWXXRY0/KSkpKi+vj6s59uxY4fuuusuTZ8+XZI98/XJJ58EnLN8+XL9/ve/1zvvvKMLL7ywQ+MHACQmGmkAALqM+fPn6+TJk5o5c6beffddHT58WG+88YbmzJnjD1qXXXaZdu3apU8++URffPGFfD5f0Oe78sor9dJLL6mkpETvvfeebr/99oDzN2/erAcffFArV65U9+7dVVZWprKyMlVUVBj/XgEA8YPQBQDoMnJzc7Vjxw7V19frlltu0cCBA7Vo0SJ1795dTqf9T+IPfvADJSUl6Vvf+pYuvvjiZvVZjS1fvlwXXnihRo4cqSlTpmjChAkaOnSo//Hi4mLV19drzpw5ysnJ8d8WLlxo/HsFAMQPuhcCAAAAgEHMdAEAAACAQYQuAAAAADCI0AUAAAAABhG6AAAAAMAgQhcAAAAAGEToAgAAAACDCF0AAAAAYBChCwAAAAAMInQBAAAAgEGELgAAAAAwiNAFAAAAAAb9f3ntuvpIGYyMAAAAAElFTkSuQmCC\n", + "image/png": 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", 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