{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Inspecting_grayscale_images.ipynb", "provenance": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "code", "metadata": { "id": "h1l86eapfFZL", "outputId": "c61302d0-6cdd-470c-aafb-c885cf872041", "colab": { "base_uri": "https://localhost:8080/", "height": 377 } }, "source": [ "!wget https://www.dropbox.com/s/l98leemr7r5stnm/Hemanvi.jpeg" ], "execution_count": null, "outputs": [ { "output_type": "stream", "text": [ "--2020-09-24 05:01:20-- https://www.dropbox.com/s/l98leemr7r5stnm/Hemanvi.jpeg\n", "Resolving www.dropbox.com (www.dropbox.com)... 162.125.5.1, 2620:100:601d:1::a27d:501\n", "Connecting to www.dropbox.com (www.dropbox.com)|162.125.5.1|:443... connected.\n", "HTTP request sent, awaiting response... 301 Moved Permanently\n", "Location: /s/raw/l98leemr7r5stnm/Hemanvi.jpeg [following]\n", "--2020-09-24 05:01:20-- https://www.dropbox.com/s/raw/l98leemr7r5stnm/Hemanvi.jpeg\n", "Reusing existing connection to www.dropbox.com:443.\n", "HTTP request sent, awaiting response... 302 Found\n", "Location: https://uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com/cd/0/inline/A_8kYWz6Ib0IHovWnkgWldxl-D9gQmZOoriI0tEfWqwWiIbOG6Kyb0PJpOtKovd3hvBKPJT0Lyy_vvok1iqFWG2GsfC1PklEYGWp237PyuNFxw/file# [following]\n", "--2020-09-24 05:01:20-- https://uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com/cd/0/inline/A_8kYWz6Ib0IHovWnkgWldxl-D9gQmZOoriI0tEfWqwWiIbOG6Kyb0PJpOtKovd3hvBKPJT0Lyy_vvok1iqFWG2GsfC1PklEYGWp237PyuNFxw/file\n", "Resolving uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com (uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com)... 162.125.5.15, 2620:100:601d:15::a27d:50f\n", "Connecting to uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com (uc5e32e2c709a61fb3a3974fb3a2.dl.dropboxusercontent.com)|162.125.5.15|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 53839 (53K) [image/jpeg]\n", "Saving to: ‘Hemanvi.jpeg’\n", "\n", "Hemanvi.jpeg 100%[===================>] 52.58K --.-KB/s in 0.03s \n", "\n", "2020-09-24 05:01:21 (1.89 MB/s) - ‘Hemanvi.jpeg’ saved [53839/53839]\n", "\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "0GelMzaXfGco" }, "source": [ "%matplotlib inline\n", "import cv2, matplotlib.pyplot as plt\n", "img = cv2.imread('Hemanvi.jpeg')" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "e7082vwlfIO8", "outputId": "d53781be-c1d7-4e5e-c7db-150340ded8d7", "colab": { "base_uri": "https://localhost:8080/", "height": 286 } }, "source": [ "img = img[50:250,40:240]\n", "img_gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)\n", "plt.imshow(img_gray, cmap='gray')" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 3 }, { "output_type": "display_data", "data": { "image/png": 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8+MqVK6hUKqd2vlEm8BHjLKHgEwK2zHKo+v6PuxZX6BwlQ2lEQbch075YZysAh5Ssv0SjC8pkmu+guRQ6PkzWIXJj6nepVHJC2+edP4tSsc9T+FuzgvVTkajQmWcG/KDKwggBW6x9Zq9rmeUTmDWh1NycGKb96h6AhKy0+9vtNhqNhksE0n0CADimp7ZJp9NYW1vD+vq6MzH4LJnGepnjzB77txUELDa06Bsfttl+O66ora/toz2vzK91+7SYDaXRacrEKht+JKqxc8rv6BzaDV74Dc5vu912oVlNSLJtjDO3ZglI9S34TCmLPJ4LAU+ZpfFYfAQeJ6njBIYPdQTB1JOcz+cBnISgqNH6/T663S6azabzPlOQaPYf00eZH14sFrG5uYnl5eWIdmNIyycArGfZNx4+88BXfOhHmdXnAIt7VrWwrjrUhU/W7lUG4Lu0733ps7T1KYA1eUjj8tbs0bbSeajfpOO22+0CAFZXV08t8mFbNffhrIXtnpUMpAJfx/e8gsAi5IuWhRICPglq//ZptlmmhC1WYPB/Mq/uGNTv9zEej50JQEdgt9uNZKYx/FUul7GysoJMJoP19XWsrKygUCggn89HiHowGKDX62FpaSniNCKzWMir/VZzKG7MOD7ztJatn+8rY7IddrzV6cdn1c72oQLNg1A7mXWqTyWVSmEwGDghrCZEGIbO7FJTTMfPoi62L5FIoFqtRnIU2H9q6Vljp9dtVmecL0rNPitQf6iRQBAELwD4HQAbAEIAvx2G4b8MguB/BPAPARw8efQ3wulWY/Pqi4XAqi19sJjlLLasQs0wDCMxa91Xj06tfr/v/AEMd9GLTe9yIpFAsVjE+vo6rl27hitXrritr5RA6PU+Pj52bSAcngWfLXy0kFNz8C0hxkFUn0MsLt9Ccx6sra8OPCVwmyvP0CrREu/TB5BOpzEYDFAoFNzY5PN5J2QVAWi7rfOTKCCOyZjCff/+fbz88ssRAa2hXLXnLc3F+W5Yv+YshGF0f0E1pay/xtfepynnRRcXQQIjAP8kDMM3gyAoAfhOEARfe3LvX4Rh+M8uULcr2iFL4D6kwOJDFHQs2XTUTCbjwoIkKDoDO50OWq2WcwqqNicEzGazWF1dxfr6Om7cuIFcLnfKecl6mcTS7/fd2gFf2OgssF/vKUNatOB7T9GUErvP9FLUY80CtXWV8eyCK46//k34z/Cd3bWJfaAz1faNfVDhZdcFxDFwr9fD3t4eNjc3nenAnAIKZJ9iUsa16EyjQnp/MplEFIyt45MuTy0EwjB8DODxk7+bQRB8D9OTh566WEiq1+LMhLjrpq3utzqSKBDomQ6CILLYo9vtotVqoV6vo9PpRLzgwNRcKBaLWF5exo0bN3Dr1i23n4D9voYYqRX5TWVIy/y+Pvqgpzo5iTDUJraCRQl8ljC1Hn9eA+CSgXRTUq1T+0XNzutkfs1wLBaLDpnpdQoUH9JRs4Nj5aMPm4gFAJ1OB4eHhw4FAid7IepGoVrXLDrUdROqvHS8rHkSl/T1gyyX4hMIguA2gJ8G8OcA/iqAXwuC4O8A+DamaOHoDHUAOH+Shg8VxBVOgk4Ww4KaQELiZjowmVc3wlAiLpfLuHbtmlsTYPtFTcqUWQCuTpvkokLPQnZqEV9qsV63QshqNGVUn6NKHX0qQIDoOQjqIFSobgW4amf1BxABUAhzGTaZQ5Eb+6ja3wobFThxNMHv0gdEZ68uNqLQtg7CeQrHJgvZcbYmwUXLeWF/XLmwEAiCoAjg/wHw34Zh2AiC4F8B+E1M/QS/CeCfA/j7nvcix5DNKz6zgNfnvWfr0LoYKiKzAnD7AZJprSeczJnL5bC5uYlXXnkF5XL5lIblN+lLIMqgOdHv950jUpkYiK5aZJ9Vcyqh+4SFZ7wjzGN/a13sqzK7PqtLYjmWbJMyOevUftBe1zZrnwjJNRqgyM03NvNCcz6aYQ6B+hxo6ukc+vwmvDfrWR1Tm8uwSKYAcEEhEARBGlMB8H+GYfj/AkAYhnty/18D+I++d0NzDJnVUvLcKa1n2hDr0LJFiUW/o5DMEj8RgBIcJ7VYLOLmzZtuabCPge16AtUG/X7f5RSwr+yTakuFskQOSkBWG6ugimN0NRW0Dl5jirQ6zAjVtX62SZGRjxHt/Fn7npqZjGn7Z0Nvat7EaWwfKtFx5ng1m013qhRNNHVG2/e0fhUCcengfFf7wG9ftKjweVp0cZHoQADgfwfwvTAM/xe5fi2c+gsA4G8CuHuW+mbB+lmdmzXo9m8drLjwmDJDIpGInJNHTReGIXK5HK5fv461tbWICUCC5YRrfjz/Z8hLBYyaA6pRLWNZc0M1Df/X3Xx9QlX7qIyimpY+DN1YVFfyaciOfhXbLvttqzU1byIIgkh4VtvF9mi7VQjoikD7v+83C8e42+26sKQuULKmkK3LXrcCkIVzYxHUZZWL1nURJPBXAfxtAO8EQfDWk2u/AeBXgyD4KUzNgfsA/vFZKrMwfdYz5xEKs4SBZTDfs6oRNDllY2MDN2/eRD6fj2hcaktleq6aA0522qVJQAag95heZmvjW+3GHxsfV/ODWs3XLx1TXtc+qzBTdERG0d2W7HirCaHttl5xFcaKJLRdlh5882IFum7lbn8Uwmvd3W43sutTHAKw46V1+5x8NDPZTnWuxgmNWSWORy6CBi4SHfgTAL4ePNXRY3bQff+fFyVovVYD6cTZumkGEMIzE4wEVi6XcfPmTRSLRfcNErQ9aUe3HLfwlOFChgptm4DT24JZJuM3+F3WawlUn9e6dGztOxRI1nmpzOrzHfgEtf3fmnBqFvC+zpVvX4G471lzwppSFEZEXKlUyi1lLhaLyOVyrq9anwoe2x/WpXPEeeT+BdpOW8dZhcF5hcZZykJlDKqE9sFYJQzgZKms2vq2Pt+EWQJT6UwBwPwAvstvLi0tYWNjw+1xr4RC5iPT2/i5Sv9sNotGo+Eck+l0+tSuPxbi++xkCgDVqHR0kght4o6OJ4Ucx4vf1j0PVFBSwKlfgOPvQytWQ9lwJZ/ndYbmeGRbnBlEoexDFqxP599e495/bFsYTncrZuIS+68ChLsY+TYHtcJFtb+iAd8cXDRMaMf6vIJiYYTAWZx77JyFf3Hv+gSJDhAXDCmjcqcg4GRHYF2/z3AgtyBnvcqUPgFAwmCbUqkUCoWCg592/wISLwUL6wCi2pfXVYPrWLF9Om7si4be9L5qWyVuH5rSBCX9lm3jZDLB0tLSqUiDCnGtB0Ck7yxqIqng1fv8P84UDIIAnU7HbWEGwAliIoJyuezmlUiB88brOnb2e0yM0j75HJxWkH0SZWGEgK/ooCjE8zlsfANpJSQ1Ma9R6iuzAicZcjwZhxNfKpVw/fp1FAqFiD3H48UARE4jso4+hcyZTAbLy8tYWlqKnGzEdtoIg2pj9dCzz9a3oWYAcAJXrXmkY+sLten79r4ysG0z39Fv+dYWaJSCadW6MxMZj0JL517HVeffRkOUHqyQ1LYFwdRJWKvVkEwmUSqVAJxsmMoQoq5X0H7rIiI+p/4dFVhWuF1GsTxx1rIwQiDO5gdOe5p9sN9ej/vbevqtpOYOQf1+H8nkdEdgOvJKpRIqlUoEZitUZ36B1aRsAwmGcJvr57XvyhzWttc6VfNbFMBiU2hVa7EtJFiNAmhuhKIEbaP9UWHB5+n4VNRgDyVVUyWTyURCktp23bZcx0JRgRUQWofSAu9zCzMKH9ZJ0yCdTqNQKLh8DrYfODlsVDU7Mw9pyui4aRt9wlnb9oMuCyMEfJPlewY4HSXwIQItai7wb7XBdYJ0U5BWq+Xe2dzcxMbGRmTDEYb/SAx2oYtqPxILPevc+FL7YrU8UYjV4rRprZZmscxux0S/oc5LtlGP0tJ2+ZyKVutbE4jP8nv29CXWm8lk3LcVLahTkuOqTkQVBPyWFaqWtviubv9NoaUaOwgCZyYQkVjvvo6HoiLOk3Ve+vIdPumyMELAV3yOFDuAHHz7nK9wgrje3zp/lOBTqRTy+bw7MGR9fR3FYvGURmW9XGmo0lwnPZFIuLRi7nBDLazMr4zB2LVm2ek3FRL7wk0cB9ar5gSZn/kAvV4vYhIoMmD7faaWMrzVxjrmFDQ0lbRuPuNDV+qs9PXL9tkH91ksOtAFY2quEQkeHR2hUCjgypUr6PV6kcxS7oGotMN9J/Q8RN1hSudPr18mAvihNwdYlGCVOX0Ta6W+Fp/DkNI9m81GVn1xQlKpFLrdbsQXsLq6ilKpFNn2SmEtv0viVuHC39yrQBlWNZEyFG1LDRsqsygCImpRVMG2KFOqBlMBwAVA/X4/ou1UW/vmiHXp2FshQq3P9rG/6jTjuyoseRCJChBrAsTRjmU2fUbrUAHMe0RXnGMu+y4UCg7e8322TYWjhlEtIrGKwyewlebPWy4iRBZGCGhRhrBEptc0xOezYePqJaRUX4Bqnslkgmw2i+FwiEKhgJWVFeRyucikkvkIYVVza4iNjKFJKGrzK6xXzW4dV7Y/rFszC20/Fd6T2a2JQq1GJMD31fFohZ1+x2du8B1Ce/WR6H2t1/qE1Pnmm3vrB7G2ti1WeLBudeZZqE+FUKvVcOPGDUcjvvmh0KbA4zWbnWn7yzZ8kmVhhIDVOD4Nr/CJUFBXewGzQ40kLB90Vs0JnDh+aAbEZYMpHCcR6GaZ/LFr1ZXggBPtr154a0/qez5ozuuWgamVmQCliVCsl45QILqJiP0uv6cCU9GGtkV9G0RDNn9embzX6zkUodCdiVaKeuw8+DShCg8ferACRBUIf4bDIarVKq5everGx/oD2C6ddxV8KlR9bbqoOeBD0ecpCyEElKlndUCJ76yMb4WLbzdbtcl1fXwul0OlUjm1R4BFJ7qVlQoDtlM9wMoo6uCyCTvKfJYZVZDpWJDwfGE4anv+2Pi6erSTyeSpPHe1vy30t+aDNY+UyRS1ad9YL7+l82r7zHHS/vvMxlnMxjap8FRHq/oHuMX8ysrKqXv6Xe2Dfk8FskU9ts22nect2p+z1rUQQgCI5gHYAdGig+wrvkFgIYPSM6+wXJmFbSmXyy4pyBKMtoNMb80UFWq+yVAUQYayWp+2uzKLakN+g223xKXMz92SB4NBhFE1tg2chEp5LQhOUl91TLXNPkefIgjLbGquKJPQdxDnMNPn1SQ7L9PMel6FD/t8eHjo9ovkeNs2WeRmadUnMHx0ehFU8DRlYYQAENWwcfet5rD3Z9WhGkmJlfapbvoRBAEqlYpLEbWS32oey/CqLbXwGs0Di0qUmCgA7CEerIfCYDweu52PgGiaL09KYho0d0pWhmY9utCJKxxt+FHnwUfAOqZW6zEub80BrcOiCe2znWOLHH0CN85RqO/YOm1fAaBWq7kQsW6TZueeZiTnRelF+2zH9LKKb07mlYUSAr6inZkH++d13B6GoQRHjUnbuFAoOGeg/Y4yqxK7JULVUlbS04nIflnNOJlEN9i00Bc4IfBOp4NGo+Hak8/nkclk3CEptVrN7ZHIKACJkIkyunuvr02KPlTza590HnyITH+0P4oC+Y79X4WE/aavDRReVsj4mN3Ccx9i49Hzy8vL7pptL+ecTmLfOHDc7PtaLB1flr8griyMELCMYgdCJ9PXsTjHkBbrtQeijjNmC+ZyOVy9evXUycFsh5oRutJQ22DXuLM9+qPw2yau0DfBUCXrsg6z8Xjs9kFkejEZu91uo1aroVarOYFivejJZNLtpEzEoWhD26RmkfV6q62v423ngW2ggPTNq9Vm9ls6diqQNFpkBfM8RtdiUchoNEI+n0e9XsfVq1cjfePzatJMJpPIKcjaJ6JO3yKkuLb4xuYyy8IIAeuBjoNLFlrFQVLf/3rCEHCS8UdveRBMnXw8L0ChK+1z1qX7DtpogzKrEiLrIGFoaqmOgaYMx40BiZ8wn33QfPVqtYparYZWq+U89Nb/QPjK/rN+NQWUYX1M5Su+JdraV58pYOd4FrPa+VV0FMfsZ2Eg2xYmBYXhdCeoarWKK1euOOSkglFzCWxug/bfmhL227PaPE+AnbVfWhZGCNiintq4YgckjphYdENRZTY6ygjTC4VCpB3qBfeFzSyDqACHYbEAACAASURBVLPPeq6JOlQTqF9Cv+GzhbU/g8EA7Xbb2frMVuMZidwq3ZoklviY4aZrKZSpVLv65shHmBYVsPhsdOtf0agJxzOO+ONoQIWM7XOc8uBzel13gcpkMjg8PMTy8rITtDpOicTJ5qX8viJCayrNMlEuWs4jLBZGCOjk6+Sdxw/gk6A6qTwPQENXFtrqiUEUAKqhNWymDiIyLUOQmjikaEJPH1IIqVEK4HQuviUgYEqg7XYbx8fH7pitIJiGtI6Pj12aLjWUwn2t337L7pNAdGHHWjdbIdGRYRUG+5J+9H/CZr2v0RYrJHzMrMJLmUtDz/a+FitI+FwymYysKGVbaXZpPyaT6dqTZrOJYrEYMfHivndW0+RZmAEsCyME4uxJKwQUyvoGhkSryT1kUB49pXaxQvNcLoeVlRVvfUQL1OZWu2pyEAlECZQCgA48Opv4DYWIwIlPQf0B9AOQENvttjsaXZ2EtPEpGNgu3cLM9l/NFxVENjpikY3dTUfHg/OqfVOEo2YQGZTMxuu+6IqdfxWUsxhd22kRj/2G/k3hzHDxvXv38NJLLznEyOcZXs5ms5G28ruaJcl28+ATDSvbtsShllnlPEJjIYSAr3NxCEC1oZXeGncHoskZ1GTq2CIx0FlYLpcj+/LRhtc8AiVoZRzWwcQidVxRAPCIbPoUuM6A36EmVfNDiZrfpsDp9XrON8HDTLivQbfbdT4O5hAAOLV/nj01h8XmOigxWuGm72jhuOuzFqb7Cr8dl29hv8HfVrtaW5zXZvkN9BsK9Yl62H7uSajmDX/TdND1CaxP/T16z/ZFf2u7zosIziI4LuPcgfsAmgDGAEZhGH4hCIJVAP83gNuYbjb6K+GMA0hI/Gz0PCLhOyw6oVZLqLbgb2pzQkVCd54fqO3Q1XQK/fhN1bKaKaht0yPNmBrLpbNat4bLmJxDAlQmUgJiuirNDF14o6jHapo4QmOf7LPW068Moho7zubV+nx+AV/9cWE0rc9HBzp/cXWqCTOLUdg3IjfOcavVcjtDsb5MJoOlpSU0m82I4lEBRGWiZlIcYz8N0z9NuSwk8AthGB7K/78O4D+FYfhbQRD8+pP//+klfStSdAJV0/jgrW/CSfDc4UfrUmfdLA2kef96ncKGh5qSSQkJ7aYhNq9AVxJaxrRCKZFIoNPpOG1DWxaImipWW6rzSsfDp/3jmEbrtUQdN242+3DW83GMMOs7Pqeg7fusomaH+jT4Pk+n0v0IOV/qN9DvkzZ9TlNVXtYXMk9QzSvz+vuszIFfBvDXnvz9bwF8HXOEQBwCsAPCv/We/a02L6/bMB5wQoiJRCLiNFSJrejCB93UB2C9+XqUGe308XgcWShDBlYHpPoUfEygkQ06/7hsV4WSOu0UEWjxEcc8Let73zK3zhF/tA2+MbV91O/PipTYenz5Cdonixhse2ddJ031+300m02nPJQOgJO9DnyC29eHuHJZSGCWELkMIRAC+KMgCEIA/1s4PVloIzw5gGQX0+PLIyWQY8iuXbvmDTfZCYl8NIaAdKL1fesRV6blibhKIJwwhXGsX7+TTCYj4SJ+l2nIKgRoWnS7XVefblVG1EHTQvce1PGho5LMz2xAaiD6GaiVdKcgC8vjQrBxAsAHy+11S/j22jx0ptfUP+Bri68NFr34+jGP+bXNigjYp9FohGaziXw+7zabAU5yP5QeWK9FE9aBfZnlPKbEZQiBnwvDcDsIgqsAvhYEwfdNY8InAsI20h1D9tnPftbdt8TkEwpxhAhEV4dZKKcQWJlYDxLVSbK2rBYyEEOCqnGZfacbdnQ6Hce8dNIBJ445CgPuPMSj0okY2LfJZOKYX1cDUhjpvgFap81Z8CEjMz+niNgnGKzdzfnxzZkKHPUl+FCWtlHf9cF8nU+9p21VM3FWv63giEOgdPbylCbOlQpgDZMqsvGNpaV1O6b22VlllvL0lQsLgTAMt5/83g+C4MsA/gqAveDJcWRBEFwDsH/R78j3vNeV8e1A+QaWjMcdf6yE5gSqRrLvUlvre4TnmlNAb7KuUmy1Wo5Bg2Caqry0tIR8Pu9OyGWSihY9zCQMT7Yu5/ZmygyZTMYtEdbDOxSW60IgO86ziNDCeRvnVw3uM5U4htZcUI2vgsuiB/tzVoJX5eCjER/81+etUtLIDK8x+1KXZ3OutB+LUi56IGkBQCIMw+aTv/8GgP8JwFcB/F0Av/Xk91fOW7ePmZXofNeVcPTZRCJxas0/n6XjTdNmNc/epwVIwJoay8xDagYbVqQAoHBgvJ/vJ5NJZLNZ5PN55PP5yKaWNCNUsJCxstksstkswjB0YatisejawSO/2QfrmddxVAb0CQZFWXzOMj/vEb1wrNkfPst54n1rQ3N+rI/BmjPaNn5fQ6xKA3pdPfS+GD1phfSiW6Ixl4GmXavVcqFlVRAU4FqPIjvfHFxGOW99F0UCGwC+/OSjKQD/VxiGfxAEwbcA/IcgCP4BgAcAfmVeRT5J7oP5cR1U6M6JBk6SVXQbLyC6D79Okq89+s1kcroNuZ5ey916iAC0LjoHWR+Fx2AwQDqdRrlcdnYlf6hVyMjMKVBGYTvI4DwejeaCTTJSJqLTkGYJiVojBTahxufQ0jGywkCFIx2WnBd77JqOsQoJxtlt4pTOC5/VfSB85oWahBQUdrmzCikVREpPbCPf5/ZjGmIeDAbukFMNRXNLet33wWcqaLvtmOozlyU8LiQEwjD8GMBPeq5XAXzpAvVG/rbMP09g2IGkvazXbEIPf2vcHohmyjEfQP0HZH5r6wMnAqDX60UETT6fd6nDZPxyuYxSqeTWq7NO2v10+LHNTGFVwaV2qGYj2ugD+6lhTZtMBZxs8mEFK4v936IEazKogFGkYJlOhY8mT2mxc0zYrSaPzqO+YwWVCoM4ReNjxnQ6jdFohHq97ky6lZWViEOWNJNIJNyZFCrorEM8jt7ntekiZSEyBoHTDpg4aadE5rtvn+Ng6wovTozVZmqb2vf12GpqUq7Pt0uKCR3pFKSWIoOqRzmdTqNSqWB5edmFmtTuJ3Gpdud26eoEjLM3FekonCVDat4Cx0br8CEkrZPvzLLL7XWtX2E5n1WUpvNihYS2mX0FTtYd2CQvH0JQIWBXPqpwiiuKqprNZkQZpNNpN2+cfwp3tlXHcNaYXbbJoGVhhMC8Tj/NoMRBKY3p+jScFTCKAMgkzABUx5164RnHt+vJuUaB3yECyOfzAHBqSTDfVQRC9MGimpUChwSvWZE6Juy3dZBZTU6GtyFWMq4VyvoNn+2uxK8aUfuizKqOS7XvfXWrueGD+fZv/Y5Ccp9/QIv2mYI8DEM0Gg0EQYB8Pu/MK2uWqsLguProb9b3L7ssrBCYdd+nwWe9pwStNiZw+oQeO8E2E5B2rp45qAiBcFRDeKwnm82iUCigWCw6j/3q6qpLPbUpyuq41L5o+FFz0emf8MFpZWB1OOq3LJy3feb/GmHQOfGNn50La/v7hEWcYKJAsqv4WNTs4fMqrFTg82/f0nArmLR/vmuq5TOZDIrFIrrdbsTpCCBCI5butJ++b9qxi2vT05SFEQK+eDFLnA8g7nm9T2KdTCZuEnx2pmoO1TjWdCD0s5t68psAIqaCrtLLZDIolUrO+ZdOp5HP591OQHQEsi5FKnT48bc9Ici3BoHfZZsssWsSkb7nI0bL8BoC9EFtO29q89u6tVgfgRUm+i0riCiQ4+x6ABEFQJ9HnP/A117bP7XtuQtULpdDt9uNmCVWKPvChHa87PVnhQgWRggA/o7PQwjzbDZLnL6kE/2WtXP1h5qWdr61HVmvhgg1oSiTySCfzzsBwMxAvscIgIazNDrA5cyqwTXT0DI4iU3HiPWwv6qdeJ+CSMfOJ3SVwOPmwIey4hCEbatvfrQt9nnOrQ0r2qKamX2wjDlLwegz9htBEGB1dRV7e3sRRGGjKzQZZzkuf1BlYYTAWeG97/48QaBM6hM0/JtQ3qdJFIZTY2tITZmI2l/XJvDoMz2HUBN4NMQFIJJ1SMakgNHcA81HYDv5HG1VOxa6YYdqTh+TW7sZOMly1MzEWSjOwli9bk01jotlCF/brPD1mXJxqEDbrf9rXSrgZn1b6xiNRiiVSuj1ei7Um0wm3VhxPlnvLIaPQwZ2XC9aFkYIAKcl/dO8y6KTRBPALvPle4oAVBOzUMPSD6AedYXGfJ+TzExEZiYyvyCTybhjv0g4ZGYyl/4QhRCJqJPJOqDU3mRfdDyU+G0mn09z2bGiI4zttEhABYfV0FqHtfv1+zbhKw4hWka0ZoIVBpZOLJJTRaHhUY6HIkLgdN4CTS4Ke/s99eVYGo+LwsSVy0QLCyEEfFI1TgPoPX1eCUalehiGbg24b7EGiUahNeGaZb5utxvZBlwXD2k7VJCoOUAhoESu5wSyaP1sl7ZPHYJsr4b59F11DCpBq6+D78zSqipM1ImoQs+aHITY1IRqYumiKzufvKebrVqm8TG1RXsaWVDhpnPr+74+r9ftN1Xw8nuks2vXruHw8DDSdwp8tsvSI9s2CwHYvlth+DRlIYTArDJLgs/S/jaO7ZOsqjnUtrbeZBK1HrUFRM8P5DfVAUchQdufy06pwfmO7v1ntRFNBfoDWL9P46qmtlEBjo3CbXV4UvBZgcKiBKtMYDfc5H09fFW1p9X2tijysd+LYxCL5uw8z7K7rQJSxMR+2fUVVgjYb4VhiOvXr+Po6Mj1dzAYRMLSHH9NV7eozNfGuH5cpCyEELDMHBd+4rNxpgIHXJ1kZApNRrHftrY2iU2dbIThvM5QozKZvk8C4sTrsmBGDthXteeVEe1qRJ8zkH1m3T7Eo8TEOhQ1WftUBc1Zit2ijP2I84Kz+EwPmhn8W80bO95xaNHSD/ukY2E1u084WBSkdVuhw/eoLLg0XZ299AXxABgKZG3brDE/r4l81rIQQgA4LVV9zMoSJ/10YrRQCPg0JydDHX2aG0AUwJRPhcN2dxzNPGM7uTSY9iPPBFQNoDap+h/oLASi5w9yvMho2l5lLNVsvntW6CkqUEay4+ob51na0Wf/2+cVXbGoo86nGHxmpN63131ttCaJHYdZCkfrVGjOnJBXXnkF7777rjMBdWcp3YjV1juL2eP6e5GyMEJgFmP7no0bBBvntrCX15QgqG0BROCa2rw2dMjQmo2t6+o/Mmgmk3Fpvp1OJ2KTsw3qj1ANxPaw3kwm4/a6U/tWcwY4Rsr8Nv5uGcFH8D4NqdCcdcRpe+vs8hVfCI2/bahSITqL9QNwDn1MzfFRgaJjOEtw2PYq4rRtCcMQzWYTyWQSxWLR7TEZhiEKhQKy2azbIZr1+Ewq/dsiEnvPZ+6etSyMENBioXscCrC2sG8wyLB8jkTAyaN9rp50Cga1ae123YT3vKZbhZFpqRFooxMq6rJUfk9PM2JOgZ4XoExhk4h8Ni/7PsszrmOlDE1msdowjtlVUMyyVe0aBS1kBsJjdTjGMYjtg9KBjgHHzJo/fMf6EmwfOCZWYHF8KbyBqenIfBDuEUHzoNFonDoLkglGT8PAltafVhAslBDwMX2cJvI9a58jAWlCjmp3MhZht24wYplDhYAuhSURWU3MI890HwNgutEHmZ7vESKqI9E6G7VvPkeSjoP6C5TgVBtqUhC/Y2GwMr9FCj40ZhmQ42jzJuJQnCbQ2EQam7w1i+F9zMC5o8lnYbhPwPmiSXxOGV99MhQYXDi0trbmdh/WZ0iD884knMXUT6v5bVkYIWAhqhIkEH8cmRKFj3DVC20JXAnNLijSASZjUpvoGoHJ5GQ/AeAkTET0oLYfnUM8G4DIgMRA7U9iUUIjerBaWvvq08Q+qOlDECoEdGw59va+fl8Fjc+JZk0mvW/n1To4Fb35UIG2j22Zh0KI1Pi3OmbnMZ1+SzdK4VxR4XQ6HZTLZayurmJ3dxeNRiOypN36aHwCx36bbbzssjBCAIjaprMQgG+ilEBVo5TLZReKoeZXJEACUEimwiCZTDrNr5qMdRDGkxH4rJ5Ka0NvQRC42PHS0lJkAZLtI5/TsfAJPT5n4b8v3KfjQCGqBM1izQwNL7INCtttQlYQRHdsUoE7C1XoeProwKIB3xiRDvQ9K/RY7B6RvG/TiX1jY+lTEd9oNEKhUEChUMDx8bGjF/qffKjJKj2fqWXfvWhZKCHAEif1LCSN+5t2dyKRQLFYjCSzqHalP0AJnAzBb9FGJ4FTuOiPIo4gCE4JDdt+mgL0GttFTWwrU38ZuWDhQiKtVwletbwynF2lSNTC+xwnXeqq7U4kEm6vfTIeCZr/U/jp4Sl0ZNr2WQa3Ph3G1tWcsmjHanFf2FG/waLOW1u033GCw4dItB1sJ/cf5DhoqrXdZozjHGfu2L74FOI8NOMrCyUEfDamJRR91geN9LpuBKp2GJ9Te5vfUAivcFhzBzRpiBOldiEFhy/5hltMEd5q6E/7qrBfzQ7GmbWotuK3lNl1XPRHnaNqo1rhqIQ1HA5RKBQi8W41eWjqUBCr8NX59HnldR6AqYbu9XrOWaihUOsLsJBax9TnQ7E0o79VkMSZGnGMZudwNBq5TWOOj4/dOOm3bP1xwsX24RP3CQRB8DqmR42xvATgvwewDOAfAjh4cv03wjD8vadu4enveqWdMo7+7QuhqSTl/4T9NiEFiIaDLIPwPiE9BQm/q4hBs//4fS3admoJrlXg3+r002d94Sp+UzUmcIKASOSdTsc5SMnQ7KMKCxIvlzKHYXhqp2YVlGwjNz5lu7nCUc0XnS9Nv+12u87OVpNJ0RnHTfMeWNSkmKX9rVJRVGGfU9qYV08ymUSpVMLq6qo7hYoCXYUW2026ibP9L0v7a3lqIRCG4fsAfgoAgiBIAtgG8GUAfw/AvwjD8J+dt86LOD8U/lpJq5l+VgDwGQ3lWbuSz9Ojrg5FEosKAp8nm++yHbxmv6fafzQauUNLgJNdkPkcmZzLjdlemhGqxcmYzH7ks8lkEoeHh8hkMuh0Okgmk5EMRRamLScSCVSrVSQS070S6dNQP4s68DgenU4Hw+HQ7X6sac3WeUvzgd+klqcpBUxtbkVt6tOgMFYzwmfPa/EJZPusdYxq8dEVBVMQTHcbYo4H500PLfW1yZY45r8oIrgsc+BLAD4Kw/DBZUAUdXyxWBt41ruc/HK57N5VjabQGoBz0Om5f9YWVHNCHXy0gdUxpkRIRtOtxsg06tBSDaAMq0tQdRx8zk0W/t9ut53mZcKKCgDWu729jXQ67TbCePz4cSSEyTGfTCYoFAo4OjrC2toa2u12xE8CnOT+r62toVQqubh5IpFAo9FAqVRyKbWsN51Oo1AoRPInksmkEzAUAJpOTCFF9ML6OF6zTA390b6dpViBba/rbx37bDbrdhyiEPSFKbVdto3qL7jMcllC4G8B+Hfy/68FQfB3AHwbwD8JPScSB+YYsifXYiXsvKLajoSzurrqBlKdMLpyjx79bDYbCcOxqNa2ewbqOXQsmgXIb6vjbzKZRPIW7Pd4nb9J1LrrMGGyphWz7uFwiEajgWw2i9Foeu7AYDBwiSrD4RD1eh27u7vodDrOTk2lUjg6OkK328XKyorbOpv1UztXq1WMx2MnAMIwRL1ejzDf0tISDg8PUavV3LLaGzdu4N69e+5b3W7X9SGdTmN5eRlLS0tuz0X+/smf/El3BDsA53QFEDEF6CfhseCauq0/KrB1rGcV1ezqEGSffb4rnXuOKRcUKQq0Asg6Fs9TntYsuIyjyTMA/ksA/92TS/8KwG8CCJ/8/ucA/r59L/QcQzbLMcj/fc/xnmpS7uZrcwQUQgNwB35wAw4NmwGIPM93CEWZCORbYTfPyUMG57pzha0UUtTe4/HYMQ2FHCMEg8EA7XbbJTpNJhPs7++j2WxiPB6jWq2i3W6758nAtVoNhUIBwJSxjo6OUCwWcf36ddTrdeRyOZTLZSdoCLdHo5E7/ZhbaQHTuDiXSwNTBllbW3NnIfDwTjVv2Fce4MH2FYtFtNtt3L59Gx988AFee+01hwq4PTuFQSqVchELogddYk3aIEKz82PpR2nM0oH1E8xCBepP6vf7aLfbAKK+DK03DrVYdOCjpYv6CC4DCfznAN4Mw3DvSQP2eCMIgn8N4D+etSKdNDK0FQTWJlOYRK1Oz7WGZVQC810iAO7zZ9evA6e1NdcCcDI11MZvqDNK26iQudvtRo4w4w+jBwrfNd2UDE3NTyExHA7x/vvvo1arubMKAaDRaKDVarn98JPJJNbW1rCysuI876VSCfV6HcvLyxgMBlhZWTm1oIqFjsAwnJ541Gg0nG1Ovwrv0wbmWF+7dg1HR0fuzAUy5mg0cu0tFovO7Njb20Oj0cC3vvUtrK6uIpVKYX19HS+//DI2Nzexvr6O69evo9lsIpVKod/vo1QqRbYN43zoQaEcZ+v70eiD+otIB/psGJ5sUW7DlJYB6WfJ5XIoFArOb6PPW3rTDFWl8Vl887TlMoTAr0JMgeDJGYRP/v2bAO6epRINx5xFisVJR2qBlZWVCFPZ7bkY015aWnKToja6oga2zSb2cJKIFDSywPsaTdDFRSQc1k0fAHcv6vV6OD4+xmg0Qrvdxmg0wtbWFtLpNBqNBo6OjtBoNNzClEQi4cJzS0tLLta/traGpaWliJ+CZx6S8eiBV0Kjz4HMwXZyX4TxeIylpSVMJhN3GhMLx5uamn3gOxwzCmgdq8Fg4OolM+dyORweHmI8HmN7extvv/02UqkUlpeX8WM/9mNIJBL4/Oc/7zzwNIFUiXS7XSwvLzsaozOY7dNwrg3Zcs44Rsz3V0eomhs2CsXxUyftYDBANpt146fCRkOuFn3MQ8v23lnKZZxF+NcB/GO5/D8HQfBTmJoD9809b1FN6PlGrEfW938ymXSHehJGM6SlGXxqBqjjULW4dTBpBIBtIyzWbD/VNroLEFcRAoj8ryil1WqhVqs57V+v17Gzs4N33nnHEZg6yoIgcBo4nU6j3W5HdjAaDAYoFovOA8/n6JBrNBouhEfBQdPCHu3F/vOILQpSTTgiEfNUZcb6M5mMMz8YHsvlco75U6kU6vW687MAwOrqKlqtFjqdjjM7mP3ZbDbRaDTw7W9/G71eD9/97nfx+uuv4/XXX0c+n8fVq1edacK55dgsLS25cB33fuz3+y5MrGFYjjG1uQp+jWqwaNQIOJ1GTgc0BQJNOB/DWkSsNB9ntvjuzSsXPYasDWDNXPvbT1NX3CCcsR0RyESm5D4AJHgWZQZKZuuc0clUmGjTYpkYxMniu1qnPt/tdgHAxYt5kjDDaPV6Hc1mEzs7O9jb28O7777r4C6FVKVSiTgygyBw6ctXrlxxRFwsFt2YqEOTDkQAKBQKkfCfZrKRQDU6ooiA5ymSifhOGIYuAkDkwM03iRD0TD4K1UqlEvGXTCbT05tpbpABiAIymQwGgwEKhQL6/T7ee+89vPXWWwCAW7du4dVXX8XNmzdx5coV98xoNHInQmsYku3mfGi+BL/NvvN/pQudZzUNqWA4voVCwS0r5/xYuO/T9j6aV+Y/j8/AloXIGLSd8dnTvDevDkpnQi5lYiC6xj/O8chi49i2nVYTqCCwE8lsOhJ+o9FwhETNV61WcXx8jE6ng48//hgPHz7EYDDA8vJyBJXk8/nI/1rIlIpWNBrBMWWbCEdJmAAcTNUsQo6H+k0I7dV3oOFVzY3gu0RMzK3nPY7jYDBwqKBSqSCfz58ynYiC7Bg0Gg1X14cffoiHDx/i6tWrzh/y6quvYnNzE9euXXNCq9/vOzSlUQV1XurfGnWwgkDND7aJyIXCmspHw7vzFg9peRpmn+czWAgh8LRFmZjMTninWkPtMXXs2clTgrJmgHXgqCOJRbWmak46ApvNpvPS60YTbOPe3h4ePHiA/f195wfgIaWE7TarDzjZdSibzaLX6zlHJ8ORZB4AkWSb0WjkBBBDdZpJqA41MpzdDtzCYd6zSVB6jT8qNLi4hoxSLpedYOGZfpqjwbbqrlFMZ85kMuh2u+h0Onj48CF2dnaQSCTw8OFDrK+v48UXX8Tt27ddKBSYCgNNftJ2KhNxPn2KwT7HPtNcUjShSV22WC0/CxnEmdD2uVlloYRAnDQjhOXf9h4LGUHtfB0QTohqLSBqxylRW+a3DiCfPUgJzwkns3NfwcFggOPjY7TbbffdZrOJw8NDbG1tYXt7G+12G7lcLuK4yuVyEcGlXnfmKuhW5mpnKhxlxh7/1ggHv6WIxvpAKNhoI+sR4za5iGNCGzqfzzsnJDV+GIbOlAmCIGL7a+TAzpWuZuS7ul6DwkETvHZ3d3F8fIzHjx/j3r17uH79Ou7cuYPV1VVkMhmHDigE6NgkLakvhvMfh1ItHXHeiFD1UFIdJz5jUZ7P9rfFh0TOUhZCCKgjbl4n4qCN2lV0iKn9So1ibXxOMCdNNb/9HWeDKdMrdKXjr91uo9VquZDa4eGh0+KTyQQPHjzA/fv3cXBwgG63izAMnRAgpC6VSgBOtD6Zk4KCWpqZaAyZKQFS65BpNFlFIT/7phltippoJ7M9OndqHqhwJZOqQFefDN8vFApotVqufxrSZTv4W8Nn6pDVtGTfvgHVahW1Wg1bW1uo1Wq4desWXnjhBZRKpQiz53I5J0zZRtaliWXKtCpA2R5FYkEQoNfrodFoYHV1NTJWKlC0zrMwtd4/jwAAFkQIWC1rfQJWAs6CQGr38jlu1kHC92l8/vbZ/FYAaDt8zsAwnCbBtFotHB8fu5AeY/5sZ7vdRrVaxfe//33UajXHqGw3/7aEqOscdIku+8okJF23buvSok5RzcbjPTIitSLfJwqxqdSqMcmM+m2iDSswODdqJiQSCReSZHuUoTlvfN967ZUO1MFHv8zbb7+NR48e4ZVXXsGLL76I9fV1FItFh0Q0s08RAPtqIb6iI56XfwAAIABJREFUA32G9ziGx8fHaDabWFlZ8dL/WZSg0qrv+bMigoUQAnHF52Cz91msHaewnbCOElwdMWoWKBIB/Hnm9tvq4KHWZoZYrVZDtVpFvV5HvV53PoBSqYStrS0cHh7i+9//vgtdaehONa1qM4a4GK4iCqB9yRg5ACwvL0fCXcrsml4dhqE7Gp3wWomdqIbX9Gh1dY7RXlZUQEiukFrDl3qeQy6Xc/1XiK/jTV+AohEKBPpL9D6/zzmiGcR8hMFggN3dXTx+/Bj379/Ha6+9hjt37uDq1avOf6QmjaIZ9tnnN1CTTBUUx7zX62F7exsrKytu3JW2bJ2W9s6KEOY5BYEFEgI268qG2HzoQP+nhlSnIImb9qFqGS0W5tu18HGDzVg/GWcwGKDT6aDRaOD4+BjVatXl4ycSCTx+/BiZTAZ/8id/gv39fVSrVaRSKbcppWo4EhDTivv9PorFIlZWVjCZTFwIjsymDj6iAetH8cF/7g+gWorf17/ZX3X4qRZUU4ianW3X9Q4AIge09vt9tFotACc7/LBt7LcVSDpvmv/B72ibSAtq/nFemUdAQfTo0SMnDL74xS9ieXkZL730kqufgpZtopBh/fY5tk2/q0qIdHL16tVIREWFDsdT59FHiz6ENw89syyEEFDN67P/bPFBp1QqFXEG0aZj2IcMYD26rE+LIgVtg9r9nNDJZOKcfq1WyzH9zs4OqtUqgOnE3r9/H++//z4ODg5QLBZxcHCATCaD9fV1lz+vcJKeajL/+vp6pF8KcYEoo7JtcePrg/8WvlsCYqRBowPKmCo02WcKEl6n45KrC+kgbDQaLpuQKGMymaBer7uFTPyeZunZRWAMx2lY09ry1nFLwUPzqtfr4fvf/z4+/vhjbG5u4ud//ufxuc99zvlqiGYUqVgTh/UEQeCSkJTmSI9BEKBWq2F5ednNF9EHF0KpANFyXuffrLIQQgA4vR5bB03NAh8qYCHxckJyuZyD2BxkS+BalDls3bpclu/T7ufing8++MDZ/YTFDx8+xDvvvIMPP/zQEQQXyWQyGTSbTcf0xWLRMSXDXIVCwdnddBQqIZMY2VbrpNLYOtuumpbv0n/AMdKxsMk6Ol5q2/uKfpd18Xh3mjoKuRnZodlAZvcxMNEf/w7D6YYnREVkbtWuzIQkCmAbNU2a2v7x48f48pe/jPv37+Nzn/scVldXneBnKrYKOg3Z0iyhUKXAJEJj9mCr1UKz2XRrHtRsUhPMp8ln+cbOUxZKCFhGt530wRvrmNPQl254MYv5ffWzWIefQvZOp4Nms+my/Pb39zGZTFfxffOb38SHH37oCIYOPBIoU4Q1h1+Tc/L5PPL5vPMx6DkESiia9ESb3LZf79tsNp/mjyuKuoiIFHpbIclCBqAAaLVaDs1wVWEqlcLq6qqbVzLQeDx2XvrBYIBWq+UWU1H7a9YlnYhEftZEIWPRjAuCwJlWPHCW17LZLFqtFt544w288cYb+PznP4+f+7mfw/Xr15HP590KTvoz8vm8mxsiJ/aF/goqI5qPo9EI29vbeO211yLancwfJ1xnzZFvDmaVhRAC1FiE64AfEczqmNrHDJ1pPsBZBkWZg9/XzDRqTMa1md57dHSEWq2GVCqFBw8e4I033sA777wDACiVSmi1Wk5zUOvRV9Fut10abTabdXCYfaEw4HcJo0nsvV7vVKSD7+r/s/qvISwWtf11HwM+D5ykCKt5pGOpKxHZll6v56B3u912UJ9jurS0hOPjYyQSCZTLZfT7fTQaDUwm03MhisUiAET2D2AOAgUTzQz2AzjxOVEQ6dJxChVFNmw/cxuSySS+853v4N1338Uv/uIv4jOf+YyLIjDVutVqIZFIoFQqod1uO5+BRhMU3dJ/c3h46JZx03zVMKeO4ayiQuQ8wmAhhICvWMaf5digdtIYuo0WnKWQ8Wn/qVSmQFDbv1qt4vDwELu7u6hUKrh79y5+93d/1y2woXahhqb9XygU3Io/1q8ryZjCS8FB77+ueiTB2mQd4ARRADjFmHYsNbzFe2pSsH3qVFS7X/ug46h/q4OxUqk4E4pwvlAoOEHLfQny+bw7so3zy8QralCOmSYdca4obDmPNAvotFMTiNfpV1LhoMiN8/hHf/RHDhncvn3bbYDCcTg4OIjkQFDo8ZtWYHY6HXz00UfI5XK4evWqGwsd33l0q/N73rIwQkDhvY9xZ9k/OtEccF/a6rzva4hLGYEaptfruey+vb09lwRULBbxzW9+E1//+tdxeHiIUqkUcbhRsofhyWIZboZBhqaNSDuYpgwz64rFolsAo84z/iaKsfFqdZ5aIcBn1JOuKMJ64rV+AJG9GvSbPp8N+879D+gkpE+EzjF11tl5p3AA4MKt9MfQ7OLqUe07+8FrNA9tOJPPq1k2mUy3qaNAoiO41+vhT//0T3H37l28+OKL+MxnPoPNzU1ks1mX4k3hTiGjCUwUCkxqGwwGuH//PorFolttqfNgHYE6Lr6x+qEzB6wZ4PttIwL2fSC6629cZMH3LieX0l/vcaLowDk+Psbh4SHq9To6nQ4GgwE++ugjfPvb38bh4SEqlUpkAkjYhNRcOqztJQNp4g+FRS6Xc9CWySvUECqkgCisV2eST1MoelAfjM/RZx2PKiDpyPPVreYY68vlchFBC0y1bLfbdWaPetX5Ps0etaVphjDhRkOFGs+3fWQ/6HDV+VY/B4UAUQL9LZybZrPpdkV6/Pgxbty4gZs3b+LOnTtIJBLOV0GhQ/8N+08zgn2s1WrY3t7GnTt33LiehYYvWhZCCACnISR/2+tW6ikx+UwIn0TkdTI+JbXGmqm96ciqVqsu3bTRaGA4HOLw8BD37993iT+sT73v6vXmohb6BjQurtCRHnEAyOfzbikxTQKFuuyv/k0GtSvU1Pdimd03ZjayoESpDkHrvbbzxIVNZAZfVp8VPDr3alszUkFziVuN8T6ddRqiVFTAtlNQaVtUEFo0Qm89nbuKgLrdLra3t3FwcICHDx+i0WjgtddeQ6lUctu56+aq7LfODed7b28P6+vrWF1d9dKtHX+2WcfSIoZ5JvHCCQEdeAtv9BnVPrOgURxqoIRnXNmaAEQF7XYb+/v72N/fR61WQ6vVQrvdxuHhIb773e9ia2vLOcAKhYIjUgoR4GQlI4mIMWC2h9/id0lkuuSU2sOOix0rfcaiId/7VoPruCpE9mmlWSFV/Q5Ns8lk4vba0yxCPsfddqjhrVbm7yAIXB4FIy80I6ituTuTr492HLR/iqQo1DXkSKSpgoR1URg0m01Uq1XcuXMHm5ubbt9DjpnuP6HJYVQUe3t7ziGshf2Y5SuwiuGHyjEYx9A+bed7l1JZCS7OxADgnHzcVELtNBJro9FwO/MeHR3h6OjI+QPu3buHt956yzErdzNSGxA4kfYMPSnzK3wFTvYcUN8AzQemudIvwPaSWYATE8A6BXldCV1tfNWA53GmzpoPfo+Q10J12vGcK270AZwIaEU7mgnK5eKaAKaoh9uTMRxoGda2RXcMUlpSIcdnLT3q2NEPRIfxw4cP8dnPfhYvvPACyuUy8vm8y2vgPJAWGTJNJKaZpdw0xbfUeNZc6Nyd1S+wMEIAiA6sz5Fl/1ZNopPIe6xT8wQI8bnrkG+RC1d5PXr0yG2M2Ww2sbW1hTfffBPvv/++83QfHh5GmIlwn9d8Gm0ymTjfA6Gn2qPsJ4WUnm1AIUN0QCir40WNyFCYhYo6rjaUyDbpWM9zTNlrFgUw2Yf/s42sj/ORyWRQq9Wcc5dpx7pSUf0JdNpxURZNKYYL6bj0+VHoGOQ9jpNGS9RM4XUKDNKN2vm6XRlRwd7eHl588UW88soruH79OlZXV116u44n+xqG081k9/b2UCwWI6tHdYznhb0v3TEYBMG/AfBfANgPw/DHnlxbxfQYstuY7iX4K2EYHgXTr/9LAL8EoAPgvw7D8M0zfCP2OifdB4U5oXZhB3AaNtFe5AEQACICgHvyDwYDp/XpB7h79y7u3r3rDuYg9OcWUcPh0G10qdEJLmahHU9zgVlpy8vLkUQbdTplMhnU63V3sjI1H+PgRAS6kageb0UB5NPyOpY+7eETwLZYOK2ClPMCnGh2QmsKtUKh4JCOoh4KMXWI8jvs09HRkUumItNTczI1mck+R0dHbn0CUQJPXArDMILOOI5UHPRpcN0DnbMq0LXNHDfun9jpdLC9vY2trS2sra3h9u3buHr1KtbW1nDnzh23Aerx8bHbnh2AS1wijcaZAHHzZM3rWeWsSOD/APC/AvgdufbrAP5TGIa/FQTBrz/5/59iugX5q09+fgbTcwh+Zt4HfHB/ngngOvHE0UZPvBIyiZHpvNyxh1KcBEZkwOW/H3zwgYtnf+Mb38D3vvc9tyFGoVBAEASo1+toNBpIp9PY2NgAcHKwCbUZ26GhOxISQ2YkSvUlkJl1I8+joyOkUilUKhWnKRlG1NNvrUdcE08AeM0HKyB0fOOcdnxX31fnqAohIh/C/KOjo4hpk8lk3Kai3BUYwKkTfWmTMz+/Wq267cP6/X5kHwZC9Fwu5w46YRubzabL19D+atiQY8ykHpplus8Bv8N9HdTsCsPQnYo9Ho+xt7eHarWKUqmE9fV13L9/H6+//jp6vZ5LSaZQou9J1xXofFjm9pknl2oOhGH4/wVBcNtc/mUAf+3J3/8WwNcxFQK/DOB3win3vhEEwXIQ3YY87hszpZkStSVWJXCth0xHm5N2KLUxcHI4J52A9PbTFvvKV76CDz74AMlk0m15RTMiDMMIoTCMpQzDb41G07Pq6SVm246Pj1GpVJwjS/PpgalG4eEiYRiiUqm4mLXui6ehSDKgtkWFIzUZx1bDeCp4OZZxoSpb1BuvTEKhRvOGsXFm6tFxxrYQ2bCtnEsmUQ0GA2dDt1otp0HVQUi0wT7R30KGYuYhBS2982RkmlpMQCLS4fJjvss28hh1FmY/cmdj5rAkEtPDSD766CPs7Ozg4cOHSKVS+PSnP40vfOEL6HQ67oAVa8pwHCyPWGaPM5HjykV8AhvC2LsANp78fQPAQ3nu0ZNrc4UAS5yT0NqkFuZq4f9krnq97oifk0XISQRAzZ5KpbC9ve0W/kwmk0j+umoltVu5ckxXf9n2lstlpyGovcvlsiNKHg3GsBIFDmG07pTLqAI391BERNOAgkodhooWiFh8ocA4AUAG12eJAPie7hOgjlI9CUmhdCaTQalUchqaOQOdTieC2HjWQiIx3ddgZWUFnU4H165dczsSEYkBJwiPTjkiOApZzifNNc6hOh05hnRyqrlCIaL95xgHQeBSjilY1J9QLBbRarUwGo3wh3/4h1hfX8ft27ddmvTu7i6Wl5exvr4+UxBbzW+V5bxyKY7BMAzDIAjOlcEQeM4iBHBKo6tAUARg6or8rTnuzOrjaTuqDfv9vtvm++DgALu7uwCA/f19fO1rX8N7773nHDOE1LpxJ2HqZDLdOjyXy0ViwLo5CDUMNcnKyor7Te1WLBaxsbHhNiQtFovY3d1FvV5HqVTCYDBwQsQn/cl4rVYrsteiakRFR9TaHBs+y75au56/qaHUJFDUwdg5TQAyANOpGeUgMgPgtGa5XHb+gvF4jEKh4DzlRG00AzqdjltvwV2ZKaDZjqWlJXeyUrVadVEaCgqiMDUdFQFRo3OsOEYqOBWx8gxIzYdQs4iRJM4TMyfL5TL+7M/+DIlEwplDNI9YH8ffooE4PtD5m+XbuYgQ2CPMD4LgGoD9J9e3Abwgz918ci1SQjmL8DOf+Uwo1+1zjrF1NxkOrm6hpZNHpwwz/QA4G5qQrF6vo1arudN8+v0+arUafv/3fx+PHz92BMrMMvXg86RZK5Ts+naWROLkKG9qMZoR9AmQIZPJ6VFhiUQC165dw/r6uks0YtvJtNo+aiWaKpp9pwuqrAnAZzXObm1ejj8Zmz4Lu9CFPhFqfMLzZHJ6fmKlUsF4PF3wo2cKUjhxX/5Op+PCpdygIwhODoFlTJ1wnWPOtjNHgEt0Dw8PHZpjWJft4/kJKsS07Rq10XuWTlk4p7ohjN23gXMeBNOMx26367aio+Y/Pj52+0yo+XqWorwwzyS4iBD4KoC/C+C3nvz+ilz/tSAI/j2mDsH6PH9AXLFmgV0PoHaxSmdObLPZdI432pPJZNJt/310dIT9/X231//29jbef/99fPzxxw5iq02o4Sk1Q3SJKCU9BUQymXQ7BzEnvFQqOcbkzsIqMEiQtD3p6AJOiICQkoKD36PjirAYmKIQogTdeIXCQx2ILOwz26WmEOvU+aG9T+3JcdL9EXgwCsdH90nk+n4yRiaTQbvdjhxawro1q5M+Fs4tNTzniO0iI1FAlUolJBIJB71VWKktPRqN3FbvulOQLlBTZtPoDH0Kdtt2pVUiRIY3uZiKpgnn+yze/1naflY5a4jw32HqBFwPguARgP8BU+b/D0EQ/AMADwD8ypPHfw/T8OCHmIYI/95TtcxT1JlFSWwnDYDbqYdr1dUPQAHArK7j42O0Wi3cvXsXb775JtrtduTYLM1T5ySSyOjYoh3OkKFqW90SXLUDmVXhtyYuEU5Tg9O5REajz4DhRsJQervJJABOrZwjA2uegZoNwGm/ALWbdbZx3Pm8wtBEIuH63uv1HPTWyAlwctw4D1JlRIDf0BAex1YdrmQUCk0bsgROHLT6ni4S0lV/alIyo1SftanGpENFThxvG5Hh/DKaoBvAcv6Y48H9KoiIrGlGnvCZyDoXl+IYDMPwV2NufcnzbAjgvzlLvWct1uEBRPez54QAJwKg3W5HTAXeYwiQOQCHh4d48OAB3nzzTWxtbblUTSVCTrbmiysK4HOaJUgzJpfLRWxKLk+ldqYWa7fbkb51Oh0cHBy4a7qslU6pbDaLlZWVyCEaXH1IYtWQGsfJEobau6phNORkfTQsvE6tRoSiq+QqlYo7YJXjSN8AtSXDdcyWZP8ouOh8UwTEqAO/w3kjo5Nxibi0X71eL7KlOPtlGY31sDALkQJDlZGmAGvEgePKOVIaYhvVnFJ64opFIiUbfbJF5+8H6hi8jDKvseqA0ecJpTgJDPVx0nVSafMfHh7i+PgYe3t7+OCDD3D37l3s7Oy4wS0UCu55TRflZFLDExUQqrI9wIljMJvNuhAYiVVzEyj1qWn53Var5RYltVotR3x64nAqlUKz2XSblqysrLjkIyIHtoW/rYNJx9RHXJZBJpOTA1GBE9+BalyW4XDo7Nrd3V0HjdkXmjBEUDwklmNNf4B+Q2E6hbIuyNK2MIpA2lBnrnWOqtbWPqvfg2Om2puC0dajSVoqRNWhSNpSRGZpljQSV87C5PPKwggBlrPYOBxoZovRK08PtK5YI2GPRiO3A3CtVsP+/j7+8i//Em+//TZ2dnYcBJxMJm5DC0JXjdWqZtUJpi8AOFkkotuKsX1kTC4zpfeX8I8M3u/3sbq6ikQigb29PQAnDkAy03g8dmgmnU7jxRdfBIDIltpsj007VXSlDkIlaht2IvGqQ9YKPz7f7XZRq9Wws7ODXq+Hx48fI5/PR3YjIlNxrJgwU6/XXZiQ/gPVskQTLNT8nA8uQ6bnnSHW8XjszLEgCJzzkMypJp9qZ17TFG49xJXt4hhpJqEVtIqSlJ5JezyvkiZnp9NxJ1lb2G+TiHzPnKUsnBCY1QFlOhIqNQg1qIaHSCyE248fP3bRgLt37+Ktt97CwcGBk8LUMrT1yfDAySSrQ4ztTaWmR3HncrnIQhbNANT6xuOxi38D09yAo6MjNJtNBEGAtbU1vPLKK7h9+zb29/fx9ttvo1KpuI0qSNB6xFk6ncb29jYmkwleeOGFSBoridWGCYFoZEGLCgUlds6P9T6rCTIYDHB4eIiPPvoIe3t7yGazbqMV1Y7UypPJBKVSyaGeo6MjXL9+3eUALC8vR/bro+Cxfg6uAaAgVQ3NsCTDeKQR0hUZm4KPQopzptBfzUxrquqeEBxH+hx0QRDbRxTAcXz48CFWVlZw9epVpFKpSHTrrMU61OeVhRAC6mXVotpFpSeJJ5fLOcagF9gmrPAYMG4Ecv/+fbz11lv48MMPUa/XI5O2tLTk4v3NZtNBel0A40sIoVbJ5/MRlMD4e6lUimww0e12XeSh2+269QiTycTtdf/aa68hn8/j4OAA2WwWq6urzo+Qz+dRr9eRSEz34WOeOvtBb7jGpmlratRCGYsMoWE2ax7orr86Z+q510VPpVIJe3t7SKVSuHnzpvN78ChzIppSqYTXX38dN2/exL179/Dee++5cOjq6qo7u7FUKjnBCcA5Eam1gyBwuQg004gymDbMjUFpQpBJmZWpTkhFPRT2GklRmuTY69oCwn1r91uapnDOZDLY2dnBxsYGVlZW3D6SNgxu+UO/b4vPj2PLQggBwN8JdlolNbXOcDjE5uamg5ecTCbeEEYxErC7u4v9/X28+eab2NvbQyKRcDFr2v61Wg0AIpt7ttvtSEhIPe70AnMNAJM+0uk0isWi2/JcoTVtYS5mYo54uVx2Nn25XHZ9LxQKKBQKaDabblceAC7uDpzsSZhKpbCxsYEwDN2CF9VQLITPRCc0Gyzkt04y9p9MoQtmOFbA9OSjfD6PdruNzc1NfOpTn8Lh4SFWV1exs7PjwoMc/2QyidXVVbz22mvY2NhAEARupSbTg8kI5XLZ9V/XFRCFMQuPaE6deK1WywnSXC7noLee/kQBQUbnt5gnQYclozA6XioAdJ8KzeJURKVrIYhCut2uW7lK/4OmeWshejgLL80qCyMErITjwPrsUoaN6HWnKcBNKGnP0xYNwxDNZhPvvPMOHjx4ENn8kxNFxx13uOWSYOBkh1oWEoqGePg9wnaiAuDkVCAiAxYS6MbGhquLwo4C5c6dO5G19KPRCI1GwxFdGIZuUdRP//RP4/Of/zyq1Sq2trZwfHyMW7duOaREYcRvU6CwHiIVhf8cdyVEvquMwbrW19fx8ssvI51Oo1ar4c///M+dYGJYk2sfiE6YEXh0dIRkMomf/dmfRa/Xw0cffYRer4eNjQ1UKhWnsRkOZVSBQpWojlqbwoPzRacpQ7DcvbhcLqNWq3nzQNhPTbqx5hOFDHMEiEJ4wKmaJT5EQPNEx5SKhAKVdGfRGU0Wy/jKM/PKQggBawb4nIPqGBqPx6hUKpHFHupd7/V6qNVqqNVqjpgePnyIt956yx3oQc8r7TXu/68hLYZ57K6z1Ia6Ko0OIQoDbinO/qhXG0AErqp9zdOL2u02KpUK1tfX8Qu/8Av48pe/jEqlguFw6DIIqW1SqRSuX7/uNC5tY6bTElkQ2lKTUxOrAwzAKW2l3nEyn3q6KWRKpRI2Nzcd0b700ksuPMfThDRbjihqdXUVa2trzrfz6NEjTCYTvP7666jX66hWq07oEwExetBoNLC5uRlhVraLwoLRlsFggMePHzu0xgNhdcWmbuZKYajefI0+6PoCnWvOq/qRWEi/eo9nUWoolz6jGzduOJOX75+FhywfzSoLIQQAv9danVAcaGrkSqXiNBIJq9fruR2AarUajo+PcXR0hL/4i79wC0PUFuREMw2XxL23t+dCcSRYde6R0MhkhItcBET7lTCb2oChQgqgjY0NVKtV1xcSAYXam2++iWvXrmE0GuGLX/wi3n//faRSKRduSyaTKBQKWF9fx8bGBu7fv+9W1GnEgrYszQd62zudjstjp5mlMFjNIA2P6vboRF00iWq1GgqFAorFIq5du4bbt29ja2sLL7zwAnZ3d5HNZt04jUYjrK2t4datW25tRL1ex/7+vhMQy8vL7hQmCl3mXhA9EWVpCJPtUV8IHaikFfoAlpaW0G63nSBg0fHgPfWB0OmrC9PUBGFqOYv6aazZxcVPGxsb+Imf+Amsr68jmUziypUruHLlipfJ1cmqxSrRHxqfAIs2WqMBlJwKxfk8NSjXAlSrVXS7XWxtbeGP//iPcf/+fXS7XVQqlQgjslBDcXJoyzPlWKEhhUIikUC73UYikXB1a8iJDkbmwlNYMfzDFYHr6+sRLzmFRRhOl8l+/PHHSCQSuHLlCra3t1GtVnH16lXnR7hy5Yqrj4d2kLBpJ5PANSrAJBpqS415qymgjKDRBU2TJhMmk0l0Oh3cu3cPuVwON27cwJe+9CV84xvfwHvvvYcwDLG+vo5Op4PxeIyVlRWsr68jn8+7nIh6ve7mmOYVmZXrLchk7E+73UY+n3eCnok2dMqOx2O3KItChP6ibDbr2sMQIm17hf1EmZowxkLtTgFOBldmp/IgXZN+KWQpfEjbzWYT6+vrqFQqEXPwaXlqVlkIIeCD/3pNiTcIpvnVmpHG5KDj42MXAnz77bextbUV2fKJxEMzgIxBJlBPLt9Tf4Hd107RCWHk5uam08CapKILi1Sz0BzhwhgiE44FBcRgMMBLL73k9rYn3LV70BHpENUQEdBup5nCftDDztx4OjspXNXpSmKnGaKCQBO2Op1O5DyAV199FSsrK26HH+ZA3L59G6urq2g2m27B0GAwQKlUctqP6cQcH427K2rhfOlaEZoudBJy52YuJSbz1et1J2B0zDhX9DfQZwOcML76T/gu28T2koaBaHRJk7dY7jw5Fr3T6eDWrVu4cuVKxCdh+YY0ba+fxzm4EEKAxToH1TGoKIA2Ep2AzP6jH+Djjz/Go0ePXISAg0hHooWNtCc5yMqg1H4UBCy8PhwO3bl0TF3l5iHqGOTk01ZMJBIubVY92InEdCUdGXY8np5ZSM83oS01B7WyOjkZ7VBi4NixPSrENM2Zz7O9rJPfogDSa7pOQXMG6P/g4qG1tTX3fdq8uu8A06AZ+uWWYPQfWCZQk4191LAe14nQ887ELN4vFAqRg1F1TYHmSfC7qiyUXu0Y8x2bJ6LRBkUyHLNsNotbt265Pt+8eRM4qvZwAAAgAElEQVRra2uR+p9FWQgh4NP+vE6TgM4s3Xefm4XUajUcHBzg8PAQ+/v77px5zS2nRqWtyXscWH7LZtYpcQPRY7tI7Hy23W6j0+lgc3MzEsKjQ0sXvxBxUCiwjRRG9Fckk0kHacnY/X7f+Uasn0ITnajR+E1r43P1Ib3W6lHXMSAzsE5lFI2usPB7FDYUssxnyGQyLgGGz/K+OisBRNZLMMqiC3k4f8psfJ7vUChSkNMUCoIAjUbjVChXFxNx7lV481s+21uVihbd4EUTzvgNmj7cSIZHm5FWzmLb+3jnhyY6AMzeNIT3gROi4IIULgQ6ODjAvXv3sLOzg4ODAxe31qQYhbDW3NCEGd63YSINXfJvEjsjBlz0Qc2lWYdsA+unRtVEHQ0fEYrTa04nlyYvkWlJgHQ+6X4GRDY+s4trGUiYtn3qEacQUeTBtpLBrL2shUxE21ufTSanS655X5f/8l0dE7aB80dkyD6qDc73yfz0FxAF6E6/rE/HinPIcVYkRFogrWiyms63rl3wjctwOMTa2ppTDrdu3Tp1mpUW1q+hS733Q2sOzCpkKGZR1et17OzsYHd3F9VqFdvb27h37x729/cRBIHL/6dkVyYnMVtNp0RDpgaiSRnWRlb0oDkLNAl0GTF/SHgkGjKgThzbq/epjejwY7vVfqdTkUzP931LZWkeaQhQtR8FlIWhNpXWF7vWwmeBk9AohbPatUQyimz4nkZoFJloiFMZguiCi7h45iHrIVIgOlH0YZWF/lhFwGd8fdfr1qxV4cc5vX37NlKpFAqFAl5++WWsrKx4x99Xf9z1H7roAAeYxWpr9aLu7u7i0aNHqNVqePz4Me7du4dqteq81bT9qMk5mBr3pY1obVpqNWoMlbS0dTXlU21qpvUSxrEOzfyixreIh3X54s+sn/1nO6yAUqhLh5ZCaApTdXwBU2Kk9gVOIxb1jgNwJhlNKo6f2r/q0NKsRGbQ2X0FOP4+jalmFxmJphMdxMrMjBTY3YbIZITzmq+h46zf43U1CRXdkQ6UXtTuJ70oSlHhR4fytWvXkEqlsLKygrW1NWeiqLKaV6wyiTO1tSyUEPAVlWQckH6/j52dHXQ6Hezv72NrawsPHjxAs9lEsVh0kJxMyP371JbU2C4nVCefWsOiBPX2ElqybUz8UHuRhKaCRrUcbXISMBnZ5w3WtlETUqAoUZFpqa2IBtgeto0EQtOh3++7OtSLraaAaiVqcpoFvEfBoIzDvAYNk1kmo+Dmu2yzLhnW79t5UWSi6IhhUraHNEH7nd+xfWZRBGmvq++I6JHjqSaHzqX6YDjnX/jCFzAeT/cz/NSnPoVSqeRMnrNo8zgBcRbBsdBCwNf5VCqFe/fuuYNB79+/j4ODA6RSqf+/vTeNsStN7/v+59Z+761bt/aFVcWtuTXZ0+yFrelRpiVFqyUkygSCI3/xEiNjARLyJUBgJQZsBDCQIFEMBEkUxLAgB4ilCBHsCMbAsiKNFGswI7t71NMzwyGb3SSbZJHFYq13Y+0nH6p+b/3vy3Orqpszw5oevkChqs4995x3edb/87zPG47sXl1dDTXoSdjAtPZKMZKe0OIsBECia8QYEUdj+TtIWOrt7Q1hQsaCUGE/gms0H2u8fxyhEgsO90Xdv3awDCLKGoeXOGfjjZvfnlHJ314X0Y9Rx7x2SwKBAoM7M6E5s4gbho7dBscFYgsCnx0wlKpSKIRaraZcbienYHh4OKQoEw71uaHfWSa/MxWZi1hsCHtPJY/Dwx7l4Jn9/f0aHx/X6uqqxsfHderUqZAc5UBkq+Z9+yTC4EgLAakZpcfPZ2/6N77xDV27dk2Li4shbJame/F8UPRcLhcqu7p7IO1papB8r7uHdvetqTCUa25pz4zlPghie3u7SQu2tbWFAymkPfPZTXXX+DGD8y6fG58rFwC5XC6k8Hq0gigAboJnKvoYaXGtQgSSF0jhGr99jhzAi/GP2O1wa8afKzULN59P77e0B3aWy+VQQ9LTipeWloJw40h0IgisYfwTm9k+j1tbWyEvgpR0cB/64mnSzCmbvD772c+GHIdz5841jd+t1qzW6vrHaQcKgST7CLL/XtJ/IGld0oeS/laapsvJzgEl35F0fffrX0vT9FeetpNMdGdnZ4j9rqyshJruJA/RCDcRUkqSJGhqUlyR+FgIaGOPXW9ubgb/lT64lsacJF5N8g5FTtmdJilkvNE8Bda1prRXDj3Wdrtz3/S3o+eOQHukAOYEfQcn8FJWMfPHzyYaALEyJvoZA3ysGwIEoeSh0iwAC0ZFiLoFABO5S+G4j4OeRIeWlpYCs0kKSUvFYlGrq6sql8thMxHjhzayhIC7eW5NemgXl8RPl6J/8R6H119/XadPn5aksFeEPJH9mrvI+wmCg9wI6XCWwG/rySPI/kjSr6dpupkkyX8n6de1c/qQJH2YpunlQzx33+ZmmPu5a2trWlpa0v3790OKqSPwZBACcgEaOYEinZ0BCKv5b0x97nVTEX9O2tOU0t6JQdVqVeVyuYnxpb2zEBAYbtrTnND4jpt8cejL3RNMZQgDQSXt+dYwCcg4vmt3d3dITAKUclcEi8lj9+AiWQJL2sNOnHkdMI0FCH1GACHQmAPX1t4cT1lfX9f9+/dDQtDg4GCoKtzZ2am+vj5VKpVQ0dgBOBc6MYbBfMdAHZYf2aPMP5YkAtmtQ4TnCy+8EOb99ddf1+joaBDOjN/bYZj647YDhUCacQRZmqb/2v79mqRfetqOxCCR1ByDRXuzH71YLGp+fj5obIjJU0uLxaLq9XrIGfdUUd4D8cGMmF/4lg54xcg9xTO2traC2b2+vq6xsTH19/c31dADc2hra9PY2FhYaBjAt6H6PnkH3ZwAY4DMzXGaWwVSc5lwCDVJ9kqFQZiuqeJ+uKnv4b7Yh2b9EA6eZ0Fmpd/jEQGe7fkPHpnwdyEEsXjQxliCCwsLqlQq6uvr0+bmZqjH6HPi+Q6u9WNBE7tlWUk88fgRyggwFEdXV5eOHz8eKjBPTk7q1VdfbXoPax4rhYOa9+n7FR34T7VzOjHtZJIkfympIunvpWn6bz7Ow7KkLC1JkrARhKQg92shBkwvGIoFxhXwBUEoEO5yQoTJHT2GEN1s9oKYKysrWl5e1tjYWNhP0NHREXb3oQHZ0gtQFOeZu+np4c0sxNjNYDdTEYbO0HEsnOdSXMMJ24k2y+REGMYYBtfj/AnX+v4eJ3LcJ8/sjF0dt5w87OvuFGFZhDV7C5h7TjxC8AF8+rPicfk7pGahKimsp68Ja+54wOPHj9XV1aVTp06F742PjwdF5OvmtN+q0W+/39frIOHxVEIgSZL/WtKmpP9z99IDSdNpmi4kSfKapH+RJMnFNE0rGd8Nx5CNjY1J0hNE5IPgOgdgLC8vS3ryDDwQWRYDYsCPhbgxHZlwNLH3g4l1LQPjuDvAIkM0bGGVFDYHOWCJi5HL7R1wyf/S3pZThAPE5aCja5wYXHMt5tdcCIBau7nPfMbzynMc4OO97obE/rOb2PyP++CE6aFO5sLHxzscu4DJPCJCirBnAvpuSvAaaIKxklPglhlWIevt/fU5c8EQCyjPV3EsBKUwNDQUBBap5m4h0nhmLIRoWQLasYL9IgPSUwiBJEn+pnYAw59Md9+SpumapLXdv99JkuRDSWclvR1/P804hizLCnDCcrN0dnY2ECp+L7kB+LpetAPGdQQ/BsJiXzMmRklPLLpjCkmShANLcrlcKK7p2tkJF8LnFB0+93e5QHAG9eb+eCtNgjaO8QOf65jp46xAfjyFNjaHnYA9V4AfGCEG2/iBQfk+a+ZuGfPHOLDwpL0c/YjWgoKAXvxZXsPP19eFDXhCLIh8Hr2fjMGTqLDiyuWyLl68GPCi48ePh81VvpbxGrVqMT1ktf2e8YniC0mS/Jyk/1LSf5imacOuDydJ0rb79ylJZyTd/CTviBsMyzZVFgWwBd8XP9zDWjAiz3Fz27WkA2HSHhNiRmaZ57EviabDV8ZiwDqhn75hx4FHf6+/j98QRYwRuCaOr7kZzXMgbJ8X3Az/TuwHZ1kY8Xu9cV+Mp3ANcJCGteSZd1nRgBhQ5Jmejcn5jV4EBFDO0XqUC3PiuSRcx3KK3Rcfp1s+rBFzys7Jzc1N9ff36/jx46GvZ8+eDVmMzHG8NofFA1q1/b5/oBBIdo4g+6qkc0mS3Et2jh37nyX1SvqjJEneTZLkf9u9/S1J7yVJ8q6k/1vSr6RpuvhxO5v1I+2FzjY2NkL1XaQrpqbXa2NROBqM/x1wicGyWEh4nxw0jBcIkxaCZm88z0NA4fu76+G+qKQmJvF7fSFdCDh4yPMgKMbpjBKb1DHwyPNibU0fPG4dz1G8lrHJ7GZ8/OMCPV4D5sXH4lgDTAoQx/9xwU9JIZ06FnxOZx7J4DMvGOICKLYioTXPI9nc3AwJbKOjo8FaLZVKGhsbC+sA3foaQCeHsQq8ufW0XztMdCDrCLJ/0uLe35f0+we+9ZAtHjCM3tfXp0KhEA5lwLyDAPC76vV6SBd2Hz4WLK6pIVInDGcOv9d3uuHnURyD7ET3zeg/gsvjy+62SM0JQYzPtWIcknOLwk1/3st3EJzx+JgTtzR8rmIBxDP4TowLOIO4leOWgbesfQS8I3Z3GBsMTJRC2guDkpfhqbnkfVADcnl5OeQ+YB14OBOLEubEfHc3wOfELSyiKH7YSWdnp6ampjQ9PR3W/YUXXgjYAW4WAKE/82ma00JWO5IZgzHzw1Ds+wbdBfHFZOdeSQF9hwDy+by2t3fKkMEw0l6KLguO6RZbBwgW14Cky+IGAFrGjEZjcxELDBbgZr/7n6SltjLz3Rrxz90i8JLsbl0gKIiIuECICcafjU/N3HuxlRiHiIkXANVdAu53l4jveZKNP9fNdO9fV1dXSBd2Tc5auQBuNBqhKI1bgz53IPo+DjQ0rmi8xm7N0RBio6OjoZ6iJI2MjOjixYtNlph/1//PsgBcsD5NO5JCgOaD29jYCPur6/W6yuWyhoaGmqr+kr4Zl7qi9DNMAOO72eimJNYEGj0GfRxZl9RUQ6Cjo0OFQiEg1e5TY1Jyj7SHwpM8tL29d/6cf9d3M2bhAmg6/5y+uR/tPjTXGT8Nq4R3OGNCkM7AnvqctYYOBqJVXbvH1kLs5zNPNM+HcMHt5riXXWNOQd+LxWLYVMb3CoVCSJrioBgXyFQ2JtuSQjFeeRl6QHixVZvqU+SPSDtnW5w/fz7MM9mwHrWI3TYXBFm4RKu2nxUgHSEh4ISb5YfmcrlwmEWtVtOdO3c0ODiou3fvhu+ziQjTCuZE6xIGdB9a2jOX/GwA125uvromZTMNAgiml6RqtRrSmuNFoLgl4StcDT8bwLU7gsKtHEfyfY742/uKxeH5DjGK7WY9/7uGct+d/AkPq7r/yv/8xoXCD/bohL8LZnKrg8acu1DB7OZzwoBoeWkPGOZzMh6xFph/1to1PLsNWWeegyZnwxljxO1EALAmVJZ+7bXXQnIQliyCx4WcZ6nGAsHX9zDtIAEgHSEhQIuRUak5VFYqlcJvXAG0pIeAKpWK8vn8E+G3eDOQ+9r1ej1kmqGdt7a2wmLH4B25B04k9Xq9yVTG/ySjkLqB+XxeSbJT945ccVwOhAIJSBCCFxpxIQHzuItDnByf18FQGMmZDOaLE3ScmaU9AkUAeE0DhCHz6+CnV+XxNG/XuMyrWxgwg2/WwU9HiFEmLUmSAL4lSRIOQEXocFhtkuyFcuM8AC+iCp25y+JMDoPTTxeijUYj+Pb5fF6f+cxnJCkUnMGtZf04ftzXE5p1S8n5wvGXrObX9wMIn34L0nexIeHj9FekMmZVd3e3CoWCTp06FUy6JEkCELS5uRl2hmEKOoDnmtJz66lGi1CBsFn82ATDJBwYGFC5XFZ7e3soXokfyvM54Xh7e7vJ0oChHElmsclig4nTNA374rnPUWiEBMAl48Vlit0Haa8sWOxju/kPs8eAnqP5ZFPybM80RBDxfRJ6+Jzm4C3rE8+Jv9uLrcJI/EgKx7Y/fvxYy8vLam/fKdgBpgFGwDMQRu4CtsohcOUAg2KteQp4tVrVpUuXwvmC1LvgYBzGx/wAIMaRgXh9YjA3q8VYQ6t2pCyBeKFjRBoJfuzYMX3729/WxMSEisViAIMgRJgAbexCBaZkUmHyra2toLUhKEdpIQK3HnjG4uJiEAiFQiHgFpzNRx/QDtVqNWACsWCJ/WIsFLSTpCBQHPCDUMAcpJ30VDQvvjgWDRaSYyTxzsU4JOraEtS7UCiEPRwxku0hLzdvnWncxIXxfFwOILpgcWYFlJUUUsVXVlYCJsS5AouLi6F45/b2dsB8vL/0hT4z19AChW4bjcYTAoq56+joCHtbRkdH9eKLL4bxgzWladq0Uc2ZOf5Nn2Ih/bSAIO3IWAKxNHMzyP3d7e2do7cB37wiq9RMIFgBgF8x+CTtRR5YYJ7jWshN3ay4sieC4Ea0t7eHZBVPNsLMh0FiJJuj0JgT+gbAxHsdzHR/2sdFf71WIlYBJdIfP37ctKGH7+Ba8T3HJBB0aEO3lrBA4jRknsscef/QVvjgbg7TfxfEvh6MBUHZ29urjY2NsBuS3BGA11wup8XFxaaiptvb22HeEZAICkrFeejR929g3TigDE10d3frZ37mZ1QsFoPVxPkY8THpzFUrgDWLRw66fth2pCwBqXV2FEQAExUKBdXrdV28eFGPHj0K6Ly0F/bjWlz8QtpDtGNNyfu5Pw55uUAibElVHpjYNTZE6n6w+5X01zUfzEHI0bW1A5H03xmQOWS+OBsxznjEfcA05n4Y1XPeHfjyKsFo89ikdk3GfDKPsRDOWuPYZfF73exmzdxsT9M0+Pq4ARywwvxOTEw0WSBEDdx0dtwol9s76AXB7M2FLy5mR0eHzp49q8nJySBwKpVKUxTJxwRNOhYQW0lZ1sJ3ox0ZIZAFfNCcmIi1Dw8Pa2VlRYVCQX19fVpaWmqKCji+gO/mCwrh+DudCJ1hPJcgS8NBHLgIXkMeovUQFQ1Gc8KDsHm2zwFCxE1k9/8RDnG+uoNdrmE9q5JDWjzN1fvl+QE9PT3h/Z63731lPfnbx+KgrI8DARkLXn8uApLnYQ2gkf3+Wq2marUa1tkjRLVarUno827e6bkTuH3gN1hOsVKgjysrK3rppZd0/vz5sIvVs0fpp1t5Mf234ge/HruQn7QdGSFAazUwv56mqQYGBsIOvOPHj2thYUHz8/NBCDiIhXb1hfXNMbHWibVBFvji/mvcX5ieLDRpz9TD5PSsQRc63icPCbqL48Tk4Bzz5M/CUuC6o/2u1RBS7gIgPBkT7hInEMc+a9bfNGd0GMDTouPQaEwHMSjmwBlrC4Ni2nNys4Nva2trWl5eDpYQc+ICxAVtKxeA335/W1tbQPlffvlljY2NBQHrZj6CHswmi96zaLAVBrCfAj1MO1JCYL9BSnunzBC6ITIwOTmpu3fvhtpxsUT3a1gLMEcWOk5De7LoMSrrvqkzEPiCpzNz3cEwJ0JnUg8BOjgH0Ogbj+Kkm6xMRbccXJgQVsXa8e/5vcw973WhRA0C779rUh+7A6o83wVDDCw6kzE+XwcX3IRsSdum7gQWmudIkDDE5zB0bBHyf09PT4hq+DzHDVD2ypUrmpqaCsrHXTqeibvn9O1KysfsY6dlaf9PKgiONDDI71jSEWcfGhoK+/WHh4fV29urXG7nLD8WAC3j5cGR2h73j4FIJ7j4cydgdz0c3Dp58mTIC4d4YB5+4/Njmnsoz7Wc++vMg+8DkJrP4YOA3E91jYPG3NjYCBudJDW5AswV/i3hNJBvtxiYKxdeMTHGAsFdEbdwHDB1YQEzeTgVBmc+2tra1NfXF0JznvnniWNcgzFdabh1xTW3mBxsxqL0+oRnzpzRG2+8EdYHS6RV/kRM8zGeErdPqu33a0dGCNBisxIN4bFqaScZY2BgQMViUT09PRoYGNDw8LC6urqCdpMUUjFdGrOIZIc5GIXPmSRJQJVdizqBO2G4e5EkO7vDOKiU8+64DwZkjA5KQtQuFGBatJEXznRf2yMG7qfGf7sZzmeM0c1WAEcEqR/zBXETlwcEjS2KWJO59o5dFxcOLog9MuEM5ViNYym9vb0ha9CFX29vr0ZGRrS1taVKpRLmC7CT+xDw7DfACuN5hJ9JNZZ2rIWTJ0/qc5/7nJIk0cTERLCScEtcuHm/eS+/DxIAWa7Bfu7CQe3IuAOx7x372CwMnxEepI7gxMREmNCPPvooZLY5UNbW1tYUCYDhfIuptHdqr/uq7hMS4iNe7hoKxvrKV76ia9euqVwua2RkpElQAFZ65IIxMj6YAV98eXm5KSfeiRXG8KO6HPdwP9qtDK+5AIG7deQWjvTktmSueQUd7x+uEmNO07SpOnEsVKU94eAWkb8rvh8BgTZeWVlRtVrV/Px8U+rw8PCwLly4oK6uLi0sLGhlZUV9fX2S1JSzj5sFLQL6sg/AD7Lh3u3tbRWLRb366qvq6enR2NiYBgcH9c477zRVnI7HCD3R3D2iZWEisev1tO3ICAFaLAQYtGsOtHqSJDp16lRIBOno6NDQ0JBmZmYk7U1csVjUwsKCuru7g19NdiFuwvr6etgViAYn/TcmDiQ5zIM1gV9KOKhWq2lpaUlpmmpsbCyksUpqKmLqGtndBWdk9/Xdr+Qe+sL1QqHwRMITBOaxeo9TO8NLzcIXRo8tFkAz3wrthAoGgOXg44QRPBzr4/MxO1Yh7YG9fH9jYyNYdn/5l3+pWq3WREPFYlGXLl1Sb2+vvvWtb4WKz9VqNQh8zxNgTXlGe3u7arWaent7m1xBSZqYmNDly5d15swZra2t6YUXXginLvPMfD7fFIZ0IDNm5izGjjECp4WnFQRHxh3IMoH8mgNKaKv19XUVCgX19/drbGxMo6OjOnbsmE6fPh1i46VSSQsLCyoWi0Eb49+iabMAIRgLAvGNKDRMZc+hl/aKZK6vr2thYUEPHz4Mp/1sbW2F03B4T5amwy+F2cjw29zcDCXNSehxbQhjI6g4mdlTlT2qQQqvPwfQ1HEHFziMD4ul0WgEd4B7YCCqQNF3tzRi0NCtFF9///G18jRw+rqysqI7d+6EeYABp6amlM/n9d577wUAmUxHnkffPOkrTdOwq5N6AgjT1dVVDQwM6NKlS5qYmND6+rrefPNNHTt2LKwFcx3jP7zXMz9prXAp/yz++2nakbAEYq2f9bmjws7AnD8IQDM6OhqYvr29XcvLy8G8397eDhtHIPy2tp2Tjcj5d2KnuSntjIpmo09S8+k+SP+FhQXdvn1bx48fV6PRULFYDFoXInFXAAEBtuFgHmava1osCYqsEKZiHMvLy0HwOUF5Kq+7SR6hcM3j4Ve3VFww+uc+JhghdhekbF/XBQNz7bThc4cgKhaLun79enDPSM/d2NjQH//xH+vP/uzPQoXfcrkcNoy1t7er0WgEkNk3HbGzFEuhvb1d+Xxei4uLmp6e1mc/+9nA9JcvX9bQ0JAkNeVveOq0J375/Hs0JQvT8fti3jiMIIi/5+1ICAGpOcGE5kThOdZujks7G3+mp6fV3t6uu3fvqru7W1euXNHbb7+t9vad7cVs38SMhEAdL+ju7g7bf/HxvbIvGtr75H41MXRCSr5H4datWyGDjGgBi+qHo7BYnpzjTL++vq6VlZVgKXgGX3t7exgDm6cY6+LiYhBOaDt3ScAnmAsEpJvm9NW1us9NDJjCNLhIIPRuZTgwGWNCCNxYU/o1ruMazM/Ph7FDH8xfPp9vqiyMpdLX1xeEaVdXV9jxCQ342RKlUknz8/MaGBjQ5z73OU1OToby4VNTU00CjfHjcvo4sDocXHbNHwsCH3sW3zxN+6THkP0DSf+ZpEe7t/1XaZp+afezX5f0tyVtSfrP0zT9w8N2Jks7xJ9LzaW30G6lUkmPHz8OOeMfffRR2GbqBOZ58q7VYd729vam4hG+XRhgKF4ciA0tx/s8c69arerOnTs6fvx4k4/u99mcS9pD+8k5KBQKwddFGKRpqnK5HAQXQqPRaATrgT3zGxt7598RaWCrLALNzW3P78/lck+g6AgqFwbu2njlJfxhtKCDgwixGASLQbJ4fmAWcIGvfvWrmpmZCe8A/OVne3tb9+7dC3RTLpeDUnDrz/MHuOaZlgMDA/qFX/gFDQ0NKZ/P6+TJk5qeng5rDa4U9x0a9LRnmtNozOjOE1luUSstH9/Xqn3SY8gk6R+lafo/RJ19UdIvS7ooaULS/5skydk0TVsfqdqi47GEwwLwxfLwWC6XU19fn2q1mmq1miYnJzU3N6f333+/Kbzk1kT8fARKf39/0Frs9UdgxD6ch/QgGkfsMSk3Njb03nvv6dixYzp37pyq1Wp4X7yFlr74bj2EERtP2AHXaDR0//79AGZRtIL3J8nOjkbqHcRp1ZVKJWj9eAzSXu4AWtOtk+3tveKuPpcwIclczKW7I56ck4V2H0a7OXazuLioGzduNEUy3KwnTOzZpLVaLVg9WFEISw8dIwBwmV555ZXgNkxMTGh8fDxYC7zX6RJGdcvEhauPJwv4c0swdh8cWOV78bMOap/oGLJ92i9K+t105/yBW0mSfCDpDe1UK27Z3DyL3t00KY5uS3sIMUSbz+fV398fIgXnz5/Xw4cPA5NgIjqhey46EjwLmPFFYeHQnEQr/D4H2GhLS0t69913NTk52WTG+nvcPAaRZ4zt7e2qVqtPHLUOU8cxdgSHMzhzHFs1EDvWg/vuMCxWBFYTgtG1++bmZsAyEFTUaGCt/TdmcXzd3YFYi7mA2traOWfi6tWrwYLDyolzITD329vbgzCFHlgD5pnnM189PT1aXV3V66+/rhdeeEH5fF6Tk5Nhg5AndWFFuQUS55ogfHxNYsZ1fiQQ4QwAACAASURBVHBBQCOS5KdXZfHRQe1pMIFfS5Lkr2vnYJH/Ik3TJUnHtHM2Ie3e7rVDt1h6xWamD5K/fWLL5bImJiZ069Yt9fX1aWpqSg8fPmzy/QEKpWa/HjObUBM+vlsP7rPC+GAHbk671HYiu3//vj766KOmMtO+wN4viBS/FJMcQvUQn2MdPIdxebYcACpFW32cHkGAube2tsJW3cePH6tYLDYRmb/DTd1cbi9z04kewDImcIQQ8+wa0gWbCwWsp5s3b+ratWuB8byGvz8TgcCzUARuUYBX0GfWcn19XWfOnNHp06dVKpU0MjKiyclJlUqlJhpkHXweXdB6qA+FFivBVjzgVgHvdMugFQ8d1D5piPA3JZ2WdFk7R4/9xsd9QJIkX0yS5O0kSd5eWlriWvjdSirGzOKTCVOMjo6G7Zsvvviijh07Fr4HkfIMDzti1rNQmJOeYQdRQSSuabIEgCfLgDG89957qtVqTQRHcyLhHfR1c3MzmKEg2cViUfl8Xh0dHerp6Qk75QD7KHZCBiJbiwH40FTgCBAlDLC2tqaVlRU9evQohAKTJFGtVgvZi1TwqdVqQfu7z4vgck3sloCvr8+fM1KsAblWr9f1F3/xF1peXm5yyyQ1rZWvh5v7vK+zs7OpGnGc/JTP53X58mWVSiWVy+UmAeDp3DB9nA8Rx/kRCJ496FaBW5XOAzFuxiG7Wfd7+65HB9I0fcjfSZL8Y0n/cvffGUlTduvk7rWsZzxxDJl99sT9cUKFvT/8jQbp6urS1NSU1tfXNTQ0pIsXL+orX/lKiPc64ANzS3sbQPB9AQcdNacvbr47eBRbADFQ1mg0dPXqVY2Pj6tUKgXtGy++EzBE5eatg2bc19XVFVwASeEYNMBFCA4h+Pjx4ybrgTCZRxykHWE4PDwcxkmWJPMIs2CKY7W4YE2SpOlMRvx0dwVcOHt40dfYBcTq6qq+/e1v69atW03ryK49N8GxnDy8ybsYsx9c49ZIV1eXXnvtNfX396tcLuvEiRNhPhC4DgKT2ekhQHdp+N+xpnicWfwQz4NbLFk808qyiNsnEgJJkoynafpg998vSPrW7t9/IOmfJUnyP2oHGDwj6d8e9LwYBGnxzie+k4V4ki48ODiolZUVPXjwQCdOnND777+vu3fvBuCG76MRPDvQn+9+IwwTMxN/x1YBhInv5glH3/zmN9Xe3q4LFy4E/9qtH9cgfj2OyTNvnlJMlqHX9SNvAiyA3HqKXDx+/Dj4tl5Fl2PgPSkKU59y7sw7OAbRDKwNBzOZc6wUSQFo9MxHGAu8g7lmTqrVqm7cuKF33nmnab5zuVw49de1OnTFScRJsndknAsAd8MYz6lTp3ThwgX19vY2RQLcjXPshLHEzOlupQsBfxZj4e/DMnIrPjlMO0yI8Hck/bikoSRJ7kn6+5J+PEmSy5JSSbcl/Z3dDn87SZLfk3RVO6cV/2p6yMjAfqaMT47fG5uQLky6uro0NjYWssN+7Md+TF/60pd0//79J6q6AAoSBmQBHdzh3cSOnejQMk6k3leX2tIOav7gwQM1Gg3V63V95jOfCQlEmJexRoznwK0CfFaEjKSQAEP+AwxHn6jDh1AilEouBdodoeNVkBlfvV4PrlSxWGz6HlrQ5w2BC/6AQMDaAq9BAKDlOjo6QsSD3Ia5uTm9/fbbIf+jra1N1Wo1bNxyfKa9vT1Ejij7RZSjt7c3AImslY9jYmJCn//854OFMzU11QQs+v0ILABcryHodMrYfT2z+IHPs4SC/93KinCeeKoQYfoxjiHbvf8fSvqHBz13v5al9WOpG6OlDiCm6c5Glf7+fk1NTenWrVsaHR3V5cuXVa1Ww/4BWi6XU39/v3K53BMFIHg2jOxhHjeF0fZStoVA2IgdZcPDw1pcXNQ3vvEN9fT0hM0t4Bowdhw2c8EAk25vbwcwjP8BONE4XpY7SRINDg421QIYHh4OGAipxmhS3CjmluQrDtLAWvDxIqDoqzM3TMCmKPrlu/qYTyyvXC4XEPpbt27p3XffVa1WC2vBHgAq+PB9LBueyzboWq3WVPYbF8XBze7ubr3xxhtB4L7++ushBOv5BYzPw8XxyU/MjbuRzIUrEKe3/XjCr+2n/Q+ysKUjljH4NJ+5H+4ENTU1pbt376per+vkyZNaXl7WzZs3QwHQ7e1tLS0thTJUmOYe1uH57vtCYCw4E52Vf4B2J0UZ/zufz6vRaOhP/uRPVKlUdObMGfX394ckG2ecWCi5JQRBelYfjOb4AZVzHShk63VHR4eWl5ebtFqcK8C7ARfR4EQXXEBjMXjRVBiN/909gtkRqH52A9bWo0ePdO3aNV29elULCwthPjyha2trp9hovV4PAru9vT0UIF1aWmoq791oNDQyMhL8e9a5XC7rp3/6pzU5Oal6va4XX3xRAwMDgTZ8l6pnlm5uboYTjpwGcAN83aCfWAC0cg3iFjN3luuwHyBIOzJCIDahvbUyifw+962kvTj72tqaXnvtNd25c0d3794NiR7vvvuu5ufn1dnZGUxxT9H1gyl4Hr+dOVxDIoggRrADT+zgmZi47Pb7zne+oyRJdPny5fBsH1vsbjhIKanJxGQfBO/2k5Hc7IaIyZJMkkQrKytP5LSTUowpy/MYh0dAYC765+XPcDnoNwILF8wzPH1MSZLozp07euedd/TRRx8FBvOIie95WFlZCWPFElpeXlZ3d3eIGvF9UoRd+A0NDenll1/W6dOn1dHRobGxMZ0/fz6Y+Y79uFDzcCRCwQHLmF7Z44DV4C3W4DFW5O+N3eKs9l2PDny3WytkM5aC+1kEfO5CAG1QKBR08uTJkGZ77tw5FYtF3bhxQ7Ozs4HhXANDXB5+dMZzEBH/0rUaCwWDeFiMfvpRXvV6XV//+td1584dnT17VpcuXWpKyGFMEKuDUGgnBIy7C0Q86JdjDi5osAjK5XLQWDzf/WVpL3TK356ByPwwTg+/cjKQYyRYBAB6MH6a7oQsl5aW9ODBA127dk21Wi2UAPeaiKyNKxIEr7QXtWGnY7FYVKVSUV9fXwAEEWxDQ0N65ZVX9MYbb4TvHD9+PFhS9Btml5rTvMGTOOiUPrmL6ZEjjw5lucHxd7MU5EE8cdA9R0IIOLP775gBpGxBEAsLT8HFtGxra9Pp06f10UcfBeEAoczMzARwa3t7W5VKJWhzNH0sfR3wwYx0XxHN4Ga5PytGodGK8/PzgbAvXrzYVC8fcC0Ge1zwxFonZkxaXGKbvoLy0zcHCBFmkpp21nn40fvAd31dent7gwsBQzEvCCf6VK/X9dWvfjXMb0dHR8hVAJuAOTs7O1Uul7W6uhrcFxdy0k7IlHnv7e0NiUucCyhJFy9e1Ouvvx6EZJLsVQUmxwAFQF+ZF+iB/Rqsg1e1dlwLK8wZ3UOmXPffToeHbU8NDH6/2mG0fNZ9bjK5JeCDhkCLxaLGx8c1NzenJEk0NTUVgKm7d+9qZWUl1CkEXWfBPebsMXsnckxw+uJCjN9xMg6WBsSA6fr1r39d8/PzevPNN8P2VLQMLUadeb67Cz4/sU/q4J2b2AgyR9ixKjxT0UOlTrytfFNCkS4ImWuEEmcEfPOb32w6RowkKKwOaS9bEQGGcMD1YB64n63DuAHQCJWFrly5oosXLzZFB7a3t1Wr1ZrOjIzpj3VkLhGOLuhis90Feex27mfex5ZxKy1/ED95OzJCQGqt5ff7PL4WS7z4/1Kp1ITMEtPu7OzU7du3w6YSiNXNtTg/AFPW/XHP4/dQItddA8DEbsoSRVhbW9MHH3wgSbpw4YKmp6eb0nt9T4Ij0LgY+OoxAbq5DMFhXmfNK/ezbwAsgXF50lXM9K7xmDe0ppvGvI/CG7du3dKDBw9C3QdPTWaeYNCenp7w/Hq93uQqYerHWpTPOKC0u7tb586d08WLFzUwMBCsODCfjY0NLS4uhqPjsrSzC3zGmtVQJK4kEFw+9241xAAgbT8zv9V3stqREgJS6+3EMTO71nEmyGpMPFKXxcTMHR8fV6FQUGdnp2ZmZrS4uKitra0mgI13uUDwvgJESnthsthK8Xtj09v9QrRmo9HQjRs3VKlU1Gg0dPr06SafXlKwRrgOc8RgKvfGroRrI9dIcRYk17L84VgAZK0pz3aBh3CEuefm5tRoNDQ3NxfWB82NkCISEycQ4VIADsYZoS4E3L1ra2vT+fPn9dJLL2lwcLApV0FSOMPgwYMHKpfLTeXYYrqIw7nQAv/H894K1IvXzT/7pG0/gXDkhIC3GE2VnsQGXKO0EgR+L4g2m1v4vFgshvTYb37zm0EQYALz3Rh78Kw2v096chORMyf9iRNHXKhxuMr9+/dDP0dGRpqO1MoaaxZTcs21cwwiep/4m++QkOOhSN+I5ai//2Zc3IPrwTseP34cNifNzs6GcmeU9uK3C1bXugjj7e3tJt/e++8WnQuNYrGokZERvfrqqxodHQ2WEe4Qz9jY2FC1WtX9+/d18uTJzLWNNTfWEsBvK7p0F7PVPf6+LHfgMODffu1ICQHXiLQY/NpvwlqBHz5BnkPOOfG5XE7ValWjo6Pq7e0NPundu3dDIotPOOZp3A+3BthI4xaLh4Mw691a8H6i7UjomZub05e//GW9+uqrOnbsmIaHhyU1Ywzt7Xvlv1y4ZM2HhzWxJPyoLLQ044Ip6LNjJZ7+Gs8H6+IakASeRqOhWq2mSqWiarXaVCiV74EDIKRws2iOsrt747gI2Ab9IRHo7NmzeuGFFzQ8PNwUukWw+xFrXV1dmp+f1+TkZFhjp9fY2ogZPxaECACsllZ0nUUbXI9N/o/jAng7UkLgsG0/pPMw33VUF+1fKBQ0OzurlZUVTU5OBk1x7969ABxJaiqVFftxkoIGZ5FhUjb3OPMTWoxBNbc6MNM5dffq1auhPyMjI02aODa1eUc8Z+6DOnNAnLgNDoDidqB5HaBjbhwgjAkSBB9Tu1KpaH5+PuxchGnRnghrd1HI/GO8WDOuvUlZ5j2Mf319vakAyiuvvKJXXnklRBTAUaTmbdFYEGQxUh4tNv19PmOaiNc2disZj7csl2A/wLCVIjlMOxJCYD/pFRPrxxUAsanEIjgYRl79+Pi4ent7df/+fb3wwgs6f/68rl27pps3b2phYSGU9soygdFaMDzgnTOEl/+W9lJNXXt56BGUu6enR8ViUdVqVYuLi1pdXdXy8rIuXbqkEydOhNoAEC0avdX4Pb3Y5xSQ1E19txjcz4bBXBi4lnarDdQ/SRLNzs6qVqs1neLjgpJS4OTzIwiTJAkCw0u8u+WIJieKQrIQ/c/n8xoZGdFP/MRPaHp6OgCPudxe6bTHjx+HFGPHDhAis7OzGhwcDNu33fd3SyC2jhxHioHKLJqlxXhR/FmW9ZwlQPZrR0IISNlo6mHjoa2Eg0+M3+Om2vb2djiuys+Rf/TokWq1mi5cuKBjx47p3r17un37tmZnZ4Op7+/BnOZ/zOwYwIM44vAhBU4hbDQgVoW7GpL08OFDNRoNzc7O6sKFCxofHw/YBv3x+H2ruYS5nWg9z4E58qw2EHWY3jW2EzjfXV9fV61W09zcXNi0xDulPUsChmfeHIRjTwcpvx7NwFJxMBaLDGusXC7rrbfe0ksvvaTjx49raWlJPT09T2RmUnAFoY4gAaxdXl5WrVbT0NCQRkZGlM/nm8BaGBurxAuJOm3gvsVug2NHbiHSh+8FaHgkhEAWiCU9mQqcBYr4fVnPjdHw+H5nDghrdHRUxWJR9+/f1/z8vHp6enTixAkNDg7q4cOHunXrlu7evRsy2Iibs1GHnW1oNLbswlxYBEmyt/vPUWk/+ALiIvNxZWUl7Duo1+v68MMPValU9OKLL+r8+fOBQbzkOIzqBARDYWL39/eHdFtcAMcBeEaapioUCuE8ASwYZwIXCpubm5qZmdHKyoqSJGmKzFD2HUHBu3t7e0NKN3gN10kWIk/B+0bkgGrDhBDPnTunt956S+fPn1elUgmgL+vk9QGJrsTrsry8HM453N7eObNgdXVV/f39IfOQuSWngN2iXl/BBf/a2poqlYoGBwfDXLqLEbsb8bVWlkHMH85DWe1ICIG4gweZ/D6RNB+8T0AsLOJ3xZIVvKCrq0sTExMaHh7Ww4cPg6YulUo6ffq0Hjx4oD/8w51CyuVyWXfv3m3S1PiOcTQDHKCrqyts9ZX2AD4IJQbiNjc3Q9EPt2ra23fOFfjzP/9z1et1vfLKK4HRMHXdZ/fvedw+PomHe+gb/29vbzcdaMJzYQ60cKPR0MrKStg16Ye/kADkrhn7F0gMIh0ZDUikBuam1Fmj0Qimvu9+TJJE09PTevPNN/Xyyy+rp6cn5H6QyMNmsJ6ennBikGMyCIF6va7u7m4tLi6qr68v4DhgBGxh9pOLJAU3zWnaaRBw2sHCLC0f07bTO+2wVnNWOxJC4DCt1UTETB37wm6iZUnHWJCgIUCcIaZ6va75+XktLS1pa2tLx44d08///M/rgw8+0Pz8vE6ePKn5+fkm09ktELSWM44zWWz6OUAGGu8+Pwzh4cn3339fKysrOnv2rE6fPh3GFScCxaFP5gJ8gt+x0OSaJ1CladqkPck0hDnZkAQjVyqVMEafIzQvu/3Q6l7Z2PEWSqVhEYCdrK+va319XT/6oz+qc+fOaXp6Wp2dnUHgktLrB7uQC+IClz6CAyXJzt4HN++Z/0qlEsY1Ojqq0dHREF1gnh3oBOtBgCAgY7qOlVn8udN3TP8/kJjAfu0wkvCg5mguLcuUYrFcQ21ubqq3t1c9PT3q7e3V8vJy+O7IyIju37+vO3fuSJLm5uaaYtW82/f2SwrFLQC/IEg0nyP0WAXuRjiSjcBqa2vT4uKivva1r6ler2tsbCxkwHlM38NRMBGuR5YV5aa9fx/m4fnUamCbNS5HtVoNufQwGUAm6b2YyyD1gLWsg5v5WDcIIIBMjqW7cuWKzp8/H2pNIvR8qzDJYKQyY8VhkXV2doaMQknq7+9vaTWyPrgOi4uL6urq0ssvv6xCoaBbt26pXq8HC82tPtY6TkfOavG7WwGLtCzLIqsdWSGQFV45zP0xEdNYMLcesp7J953o0b6dnZ06ceKEtra2QnmrNE01NTWlgYGBsE313r17TSi2+28IGo+do1k9u8xTjqU9ywFNjSXg/fW4/fXr1zU/P6/Tp0+rv78/HEBCZACLByuCiAJCsJU/SQITuw7xl9Hynm5NH3t7e7WyshJOZnI038foQsYxAiwm7xuCiQgLguOtt97SmTNnnqgYFNcP5G/AWvIx4v39vj+E/jK2GFRM0zQceU7dwhMnTiifz6tarWp5eVnVarVJmWExtQoxZtFoq7XJYviD+EY6wkLgaVorUKTVpMb3SXv5/Gicnp4eDQwMqFwuK03TsKCNRkOLi4saHBzUSy+9pO7ubk1PT2t5eTkkw9RqNSVJEnYvghdAcG76xUgzRUukPTMwNuPJPXCh1Wg0AjNNTExoYGAglNWivh+a3CsiwXDuG/tmpHq9HrR1tVpVpVIJ92C5eKUlrzcAAwIK0l+EXhzXd0uMcdFP3CfM+sHBQX3uc5/Ta6+9FtwPFzKxYPPTqHlmHCHBHcPXdwvKIxEIpY2NjZDP4e7b0NCQhoaGVKlU9PDhQ83Nzenx48dhvnxt96NJvy8LFIwjM4dtn/QYsv9L0rndW8qSltM0vZwkyQlJ35F0ffezr6Vp+isfq0dRa6XZ4/99EvYZS+ak8iwWhcXG3CwWiyqVSqH4SLVa1erqqoaGhgK4VKlU1N/fH46nrlQqevTokR49eqSlpaVQtIMtuN5PR+7d7/Z4s9cKIMTmmguGBlCDeRYWFrS2tqa5uTmVy+VQonxoaKgp2QYmJkIRCyZAMJjm0aNHTdiCu1AIALfmSLbBfOZvt2BwB+J58bX2MCo1HE6dOqXz58/rwoULoQCqCxV3tbwOgu9HgOlpRHrInZAUiqvQB++XWz/MiVtX7e3tKpfLQQhLCu5NjLvEVsF+iuuwDL/ffZ/oGLI0Tf8Te/hvSFqx+z9M0/TyoXp2yNZKQsbgSXx/1sBjYeGaGHMZgimXyyqVSqHk1/b2dggxra+vh6SRXC4XkmByuVxArovFogYGBlSv1/Xo0SMtLi7qzp07gdm8D/QbrULzIhaunWNLhxJhWA8eQqtUKlpeXtbKyoqKxWKoZgSO4EIG0M03NxGCw9TP5XJBqNEP3/NPi/3VOJmI3+AaCGDHT2AuT15iDgYGBnT27FmdOHFC09PTYe+A701wJvUQoK894VB3r+irCxFfm5jG3FWQmrdtu1VRKBQ0Pj6uXC4XzkrgXm/MfSsBENOwX4+vHdSe6hiyZOdNf1XSv3/oNx6iHcYsik37+O9W6KmHH32SXRhQhmpycjKAOZzCs7Kyoo2NDfX29oY96X19fers7NTCwkKIQWNGDgwMaHV1VZOTk5qZmVF7e7vu3bsXzgD0QhowIz6/g2L0G9M2Bu0QEGhgFzI0DgepVquhdgLCgmpBJLg4ek6Ogye3ULrN3+1py14qbHV1NWxFjv1oGr69V0UmUQcGJe2XNTpz5oyuXLkSkP+2trbwTs/lp3mmI1gB/XA3gHUhcQj6YJ6wIPz5rAeCj4xIIh1YSO3tO9vWx8fHVS6Xlc/nw5y4wI9p9LDY2CdpT4sJfF7SwzRNb9i1k0mS/KWkiqS/l6bpv/k4DzzMIPdzC/ifHweiHGmPvwfhdHZ2amxsTIODg8G0JuYNiFMsFsMWU0JZnZ2dGhwcDAvmp/lQwPTMmTOamJjQ1atXdfPmTdVqtWBWS3uZjL7hxf1k7uGZEIZrS4jbhQN+Oa4FCU3Ly8vq6upSd3e3SqVSk3nshOcCwEuAca/UnEMASOd5CcyVCwq0JMKM+13jg5FsbGyE478GBgY0NjamkZGRUCwVU11SU6lv1hyBRs4Cmpb9DF6HkT54dWauEZ6N4//u4jF3hATjfAfA2OHh4RDZ8M1ksXLiPa1AQ3cf4j4cpj2tEPhrkn7H/n8gaTpN04UkSV6T9C+SJLmYpmkl/mKSJF+U9EVpJ7a6n2bPag72SU9mGXrKq0+s773f7UfQNqVSSZOTk+rr6wsmIfUF2traQkkqfH5pJ1EIQpKkgYGBkNm3srKier0eUkupc/8jP/Ijunjxoubn5/Xee++pUqno/v37Aa139LqzszNUxPH3xBlkpDtXq1Xl8/mmgp2Sgl/qZiuZhR0dHarX6+GAUrSu72vADybk197eHrQkIUG0saSwU5C18OIfRCbi9YQR2traQkKR52tcvHhR58+fDwAn0QnSf8kV8P0MDg6y9mxmQih4Gji/OerNty97CrZjSP4uxsuzjd5DdIeGwETAeXJZTL+HMfM/LiBI+8RCIEmSdkn/saTXuJbunEa8tvv3O0mSfCjprHYOLW1qqR1Ddv78+QPV/0EuQpY14O6Ap2y6D4ppnc/ngwWwtbWlhw8f6sGDB5qZmdHo6KiOHz/e5HOiKeLccIitt7dX7e3t6urqUqVSUb1eDwQDbnDx4kWNjY1pfn5eH374oe7fv6/FxUWtrKwEUAmcgWw4xuUJSYxtfX1dpVKpKTzpws792TRNm5gHUxyQjJRez3Ena7JcLkuSKpWKcrlcUz09BIEDXg4a8n8stP3gl/n5eRUKhXA6Mtt+z549G846KBQKqtfr2tzcbELa8/l82GXpbkpbW1s4dam3tzecuJQkSTixiMpG9NO1O0LNIw/MK4KGHwclPYrjQCh04AVM0nQnJTvGu/bDBpz2Y+1/WGvgaSyBn5J0LU3Te1xIkmRY0mKapltJkpzSzjFkNw/zsHiQ8cD3A0j47ZqRhWEhITw0kD+/p6dHp0+fVm9vryqVim7evKk7d+6oUCiE7aYAVTAgZrD7k/TDQSXOA+Qw0o2NjQAckqTCMVdzc3P68MMPNTc3p6WlJV2/fj2c8uOhSv52tyFN0ybBQOKMA32MG6YAsOLEnrm5uabdcW4BUFTEowloS3AIJ3BnCExozllAIzrYhy+ey+VULpe1ubmpL3zhCxofH28CQ2HeRqOh1dXVUDIc87xarYasQ0nhRCUOTgV07O3tbcoFYW66urqC2+LMDt7iAC2/GUMMIoIfuOXg0R6EhOM50s7hp56CHmMbsVWQJQScXw4SIp/oGLI0Tf+JpF9WsysgSW9J+m+SJNmQtC3pV9I0XTzoHd4O8vdbXffF8ImAgNCO7gsS+x8cHFQul9PKyko45/78+fOh1LSHuyBWScEf9f54+AszOZfLhR2KMHW9Xg/9Id22UCjo4sWLOnfunOr1un7yJ39Sf/qnf6rV1VVdv35dpVIpbPJpa2sLNQrYyLS+vh7ASlJkyXb0IhloYYi8Vqupu7tbhUIh7FrEQgDg9DJgJNggFKW9TS4easO9QSviosAYhNQg3u3tbRWLRa2srOinfuqndOnSpWAF1Wo1zczMqKOjQ6OjowFpZ+0fPHigsbGxpnr/9IVne20CBOPm5qYKhYIWFxfD31hFjiE5psB6414yj1guHsbkux4FAAuBPn0eEQzQizN8zOB+LctiiIVHq/ZJjyFTmqZ/M+Pa70v6/QPfmtGyUNAsS8AHHQN7EG8WQMJOLjaokMCBz33jxg0tLCyoVCrpzTffDD6sp9tielar1Sf8RN5H7jqLzDMQBuSt5/P5ABr5UeHcA4P/0i/9khqNhubn50OpseXlZS0sLASGevjwYcAPMKsnJyc1Ozur4eHhcP4iYU4ID9Qa4m5vb28KA3IffvTW1laYF1wFUH0sDHIbYrDTBbIziKfrcvBpvV7X5ORkeD67B3t6eoJ1QsIRWnNyclJSc20H3r+5uRkSthDa9JXipJ2dnWETkCca0U9cMQeWoQF3uegDjO8YSRya5HmuCNySzOfzTUe578fQB2EGT2UJfL/axwEFafGAY1/KVEQ1NwAAFTlJREFUrQJJoWDFyZMnQ0797Oysbt68qa2tLZ0+fTqc0cfmFLTV+vp6KDiBRvfDLGJAx5Fu174Uq+CZPANmhIgB3vg9PT2t9vZ2jY+PB98crbG2tqZarabr169renpaMzMz2tzc1LFjx8IGlbW1tZDfUCgUwrxQGwANH5cexz+G2F0AxOmzjnC7T5wke0lSMDbrx3qhpR89ehSSj6rVavg++Rjk8xcKhVAx2CssI7RccIOvoI0JX9I/3ApP83YTHtpybev3YG24oGB+PCU8tgzoJ9iAp4KDT5DchRJjLbLovxVPHXTfkRACEM1B7SBJGAOANLTt2NiYJicnlc/nValUNDc3p2q1qr6+Pg0ODoZ4P/41ABmEFIcXffusLzAAIAy6vb0dfNckSQIgB7iIBvbNRVggnkeAH05YErO6UCiov79fpVIpmMtolzt37oRYPVWT8I1B2WEc36oL8/GZNz/sFIHpFhjEnSR7JxB7RMIFiws9GBKtDbN6zJ45giHIV0Dj+74MmIt5cixka2srZBYyb9COA30eqmTd3X3xtSfc6XUKYyFCvx1XcLpxF4ZiN8xdTP+x1bwff3ikKG5HQghIzeZ9bBXEkjkLJOEZ/Liftbm5qdHRUU1NTSmfz2t2dlb3799XmqYaGhoKpaQhIGdgT6P1sJyHcGAKl9QwFAQfa5HYNJUUFh1C9flA07mWcxdIUtiSSoy+u7tbp06d0szMjEqlkoaHhzU0NKRHjx6p0Wio0WiE4qo3btxoime7+clcsmkIIcQ8A3w60u1gJX2S9tJ1fT8CcwQTO4OgTdkLgWBGwMB0tBi1d5+ecbFmJCOxDqwX9zB+BAF9RuO74opN/Big5h7vG2vrLmWSJE2WEnPq4GzsGmQJg/2YPm5HRggctu0HHGaZW9JO7cDR0VFJ0u3btzU3N6eOjg4NDw9rYGCgyS91LRW7FfHkspC+yQctw+KjYbjf0XUWF81BoRFMco8zxyCVE4qH4JxA/LmlUknlcjnURqhUKrp+/boWFxd18uRJ3b59+4ksQwgOq4WEI3CH2EqhbzTi9QiDOFXaE4TiyALzwvhinCLeEOSbing+72Ne3L2JNbALD3dpuMcxghiv8udxD/3xfmYxpj/TBYaPy+/jHIasPrdqB7nXR0YIxOYWrZXJEw/MzTMWnHDT+Pi41tfXQ5mrfD6viYkJlUqlpjz9WHj4LjZfqJiAIGi3EtBovmDeN8xFJ3gSd8jLdwTZCTGes3geXZuTtorrUSgUNDg4GAC9L3/5y+FQVrIBHcOQ9iwVhAHjgtDRuC4ss8AxXBRAOQSAR1ziNZXUhJlw3c9AjE3ueH5cOLgg2d7e26fgVsJ+dJml/eM+x/NAy2JaFzo8q1UfuBfwMotP/DsHYQG0IykE+J21oFlCwX+43tnZqb6+Pk1NTalWq+nGjRvhbIETu3u8nTHx8f09aDE0Fu4CTAszo/HdBJSeLJ7qeAGCAu2KxoaIfDcdpjD9co3pAoJ5cc0NQ2P+ItTa29t17NgxTU1N6YMPPtDGxkYIFZJEEwtkmJ/5ZW7cqmHcAI2Y2w6e8SzftMP84L+TT8EagMsw92AmaNpYy7rAjumIA06wEpyOsEjoT4zo70ebMH8MSPt9Pp+ejJR1n8+R4w9YNL7+3g9vrZSmtyMjBFo1l477+TlOUB0dHcECkKSbN2/q4cOHOn36tE6fPt1EwPE73G+PTUIWgDRYmNrxAvriMWG+H/vaELibj2htNBTAVlaxC58jJxAwAn57aFDaM5U3NzeDK4BgQBDGWs+FJIwXuzbMIX110x63wq0K5oXmffSwqoOi7iI5Y3g2pffdNa4Db4QaHbPx5gLAsZ24HUbbxoqLay7AfT39Xhfu9Xpd0p6F6sVNXZjGGATfb9WOjBDIMqtiLdTqfyYL825kZCTUlb969aoWFxd15coVlcvlpvLWsZmeRczxeyQ1AVGY7XESSZaZ50zsi4tZ61tnk2Rno9LS0lLIYPNnO/LseIWbvTA2Wo8wHQKGpBhy9blXUqgC5Gvhrg2IPAkyWB30hc1XCA6iCIQIfSekh9G2t3eSlySFJC3fw4DQ5VrsnsBYfg9/++5BcirAcpiv2Irj2d7cfWB+nC7dbWtlsjN2F3z0I2vO+Wx1dVWLi4vK5XIhqrFfi2k3qx05IeAT5YIgawL9fxZmcHBQ09PTWltb0ze+8Q19+OGH+sIXvhBMbzaZSHsLjXb3bbhugrmZixbknRAems0tADfTvM8QkO+gkxTeC7F7YUu29krN23GdWPzZfAaqTKnuWJgMDg7qzJkzunnzpgYGBoJAI/uQ5rvmAAYRIpjp/l6fG2nHcunr65OkkDWZpukTeQkkJGG90E+2cpM85DUG6Bf3tnINPGcAYetr5NrUATm3SBybifEBZ/zY7/frWeBy/H7u87Xi3sePH4cMx1KpFOjZrU2eeZh2ZIQArVXH44G5psUCGB8f17Fjx1Sv13X16lXdvXtXP/uzPxt8UsJsgEr4rISMXEu5P4/pTAIHDZQaf9v741I89hGdYGEusvd4N0kt5Lg70u34hGsd117ME2as56njY3M2wpUrV3Tt2jXNzMwERiVKUSwWA0PSJ/6mFgEZfDAMQg0LgSQeDyF6//1avV7XZz7zmaZS3AimNN3Z6EVqr2ttQE0Ki8YuAQJna2unJgApx24BuKAGO8laMxccHweQc+zKmwPS7j66exOnV3N2I2N118D7cph2ZIRA7DfF0rQV6MFij42NaWJiQpVKRVevXtXS0pI+//nPh7PmkOJofalZo5KG6q4F9yBASJ115B0NFeflQ/C+0YZ3u1Zx3zDeZUf/urq6lM/ntby83OTHeotzC6Q94oJJ2T+wtbUVNjatra2pr69Ply5d0q1bt5pCaJjKDsjxGcIU098LbQAW+m5Gaa/0GTsSEaoIL88XYA43NjZULpdDJuHg4GAoLY7A4f0IZHf1ELS4G+yRwKUi54F73aWIQ3HMaUybcYvBzlbfdzpmXt2dcRr3d6IQnE6Yl4OEVFY7EkKABfL/47/db48Ptzxx4oSGh4e1vLysDz/8ULVaTZcvX9bIyEhTzB6NGm8HdX/S/VX8dLcM3NRdX18PlYbcuvC+SnvJNlSVgWF9sVk4+kaiEq27uztoaQfm/G8nGH54D5rXd8JRo291dVXnzp3T+++/r7m5ORUKBdVqtfBdtC4Wl4OnzFG8MSkGSlkvcI+Ojo6wHdhj6t3d3Tp27Fgg6EqlEoQ4Gt+jAoyJufe0YTAKIg1kW5K5CE7iIJzTmzMs4/NNVD7P0AZM6GBo7Bq4kMI9k5pLrjG37jL6evA5dSA2Nzc1PDys3t7eQDMe1dqvHQkh4K0VNuCE6HHmY8eOaWhoSEtLS/roo4+UJIlee+21UCnHATufQG9ulvpCuPnsxIF5ilZ1QCn+HYM7zpQQQhbxofHJlYd4vE/xfAGAefjMGZO9CGtra1pdXQ17HnjG8PCwZmdnlSRJ0zl+0p6WxqpAUHqExYk5xiUYu6QAPpJSjSnLs06cOKFHjx6pVCoFJgafANTk/WQrYjK3te2VGOMaQggBzJhaMbHTIoIE4cVc+tzGpry7IjFdxwzvys+xgpgP3EJwy4DxuYXLFnLWzdcjqx0ZIeDaJW4wHr/ZllooFDQ2NqbV1VXdu3dPuVxOx48fD/vJMVGpS8d7nClhKjbCxKE9/467Cs78THKsiXm2JwYxHhcC/hypuda+pABoQuSem4BAQiPyfM8jiKMcrqUpUMompQ8++CAU5fDtxF5bACZgbpmfmIGYO7fGpCf9bdYdodDT0xMsASwudhGyZvSBuXTh69YLc0I/mQ/HFGKGiwFO5qwV+OhMmTV+/wy68He4r++WQewCu7UXPwvQFDry8vIHuQRHRgjs19xXQtMVCgWdPHlSknT37l0lSRLy4DGlYSaPT/viuZSNF9LNttg9cVchNvV4lhO+Yxf0wTeE8Lm7CFgEnZ2dodS5m5AwHcIC0JNwoBO4g0sAdUmSNJ0HyMEqY2Nj+uCDD8K1mCh5RmyR0Ny64TvMMT48v10Y0xxb4QTjmOidyd13T9Pmk5aYWxKxXGBnWVLxb2dQZyQH8vwZ/v2Yflt95uvvz2T+4mgOz4txA8KHbDkvl8vq6ekJOxBjy8TbkRECMTG1YjxArampKfX09Oju3bt6/PixRkdH1d/f37S11RvM4xPpxAyxxJLbid2Re0ee/R3x525BOK7gAsYBS7c2eC+FPRwU4jmemIQ2pS+uoR2M9GpDbOzZ3t5WqVTS2bNnNTMz06RhvVhGmqZNOwF9jDwnax1dg1J5ONayFApBuLnVwwYvXzv31X0eeHYMuHo/vMWuZ/y/fx+A1+c8FiDxc2OrIEuwOA1luQVZ17Osz7W1tXC4rOeS7IcLHBkh4M0Jx/8GOJqcnFSpVNLs7Kyq1aoGBwfDQSAQGN/zhJVYmnqLTVpnZDfvYwzANbzvOETbuS8fZ4U5o/KZPx/NyzMA5Vw7u9AC9HSXxk1XTyzx50IwW1tbwRqguCrHqhMpQAi4dnHLIwtvoeEW+dHhNObeN3Nh/tP3GM/xSEmW0kC4+r6D+F7mIH6uz6tbYPEa+jP8+U5nrrmzGD8WKq6YsuaS5znNenEXiqggBLa2tkJINKsdGSGQtYixGdjW1qbx8XENDAzo4cOHmp2dDafAetYa1oCDKbGGzzL1ud6qf1mCgL9hGBgOcze2PrKap676OxzNR1N6dqELFr7r5wF4OFNqrsgMU0FYhEK7uro0NTUV8gTwof3kXketeUf8ntgdoY/UHnDNBhMhRAk/+gGsbiozt77t2EOqWfMP48RgbytTP7bwnF78e1kCYD9a9mtubTp9xO92QJL7nLalvSQ18jhYLyJN8cnUTfTX8pPvc2vFIK5ph4aGND09rfn5ed25c0elUkmjo6OBMRxldzTb49WtzDCp2VyLzXLvD0zgYKK0txU5ltKtzEUIleYmLICfA4pSs88NYdMvkHJJIazmWpo+gDXAlF5zH2vg3r17oShod3d3qHXgiUOMgRBdq3ml325duWXhIB458cwxWY7+HN/piABGA7qVxPMZV9Za+3PjNXJ6QND5vMfjzWLiVriCfyemj5gXYhfLra7YIvSdqUSC1tbW1Gg0nng37cgIAW+xBZDL7WwJPnPmjNI01czMjAYHBzUxMRHMUje5mAg/copQlNcLiDEB96Pcv+c+rnmRSt/c46hzLKl9YdBQ7gZIe9Lck2UcyAIpdwyDZ3vlYU4gxqd3RnFCA0z0isOlUkkDAwO6efOmHj16FBJqKpVK8IfZ5ORYRpyPIalJg2HJ5HK5sEvRk5fckuru7g6l4HK5XPBxOUo8Bvf8WRRLdTcBiylOBHILwYWp059bG7Fgb+Vi+DUXFq0sB/p0kMXowsCVY9wvnkOIHMHdqh0ZIeBSV2reFNTW1qbp6Wl1dHTo9u3bamtrC4Uo3bd1hnb0nsVwcMS1afxu3g/TIQgIO1IY1OvQQ7T0F2Qdv9WzBqW9hJrYPyUOn6ZpKOpJ3NuFUex20Oeenp5wRgHP9OaWjkcW3KynXBkVjDk7AVPecwO88o2nrsb5CgjQrq6uEM5C4OECdHd3a2JiookxHdn34qFuiYCMO2jnzf1txwk8WuA05JaOrxVj5ncsCJyO/W8Y1AWJWx5OB44L+PrFGEFs4dFPfy/0v7q6GqonZbUjIwTQfkh1Tt7d3NwpmU122eLioi5cuBAAKje/pT3h4cTpMe6YKfx7aCwIIgZrIA4EhLS3GQaLxLVhrO3RYnHYK24QSWdnZ6h7gNDxbDG3VpiLjo6OoEGl5hwDnh1bH4VCQY8fP1Zvb6+2trb06NEjnThxIpzBQDHS1dVVNRoNlUqlYKrn83kVi8Um4esETE4H7+Ka7yPgGu5JLpcLpcddyGFlgX3wTvY4MJ9xFp7nTHi0BkEIzTmY6y4dz3X3i2fznixNnsWo/t14/d118He1ciVi7Z9FU84PrVrSyvT4frYkSR5Jqkuaf9Z9+R60IX06xyV9esf2aR3X8TRNh+OLR0IISFKSJG+nafr6s+7Hd7t9WsclfXrH9mkdV6t2+JKkz9vz9rx9KttzIfC8PW8/5O0oCYH//Vl34HvUPq3jkj69Y/u0jiuzHRlM4Hl73p63Z9OOkiXwvD1vz9szaM9cCCRJ8nNJklxPkuSDJEn+7rPuz9O2JEluJ0nyzSRJ3k2S5O3dawNJkvxRkiQ3dn/3P+t+HtSSJPmtJEnmkiT5ll3LHEey0/6n3TV8L0mSV59dzw9uLcb2D5Ikmdldt3eTJPl5++zXd8d2PUmSn302vf7etWcqBJIkaZP0v0j6K5JelPTXkiR58Vn26bvUfiJN08sWZvq7kv44TdMzkv549/+j3n5b0s9F11qN469IOrP780VJv/l96uMnbb+tJ8cmSf9od90up2n6JUnapcdflnRx9zv/6y7dfmras7YE3pD0QZqmN9M0XZf0u5J+8Rn36XvRflHSP939+59K+o+eYV8O1dI0/f8kLUaXW43jFyX9H+lO+5qkcpIk49+fnn781mJsrdovSvrdNE3X0jS9JekD7dDtp6Y9ayFwTNJd+//e7rUf5JZK+tdJkryTJMkXd6+Npmn6YPfvWUmjz6ZrT91ajePTso6/tuvO/Ja5bJ+WsbVsz1oIfBrbv5em6avaMZF/NUmSt/zDdCcc8wMfkvm0jMPab0o6LemypAeSfuPZduf71561EJiRNGX/T+5e+4FtaZrO7P6ek/TPtWM6PsQ83v099+x6+FSt1Th+4NcxTdOHaZpupWm6Lekfa8/k/4Ef20HtWQuBfyfpTJIkJ5Mk6dQOAPMHz7hPn7glSVJIkqSXvyX9jKRvaWdMf2P3tr8h6f95Nj186tZqHH8g6a/vRgk+K2nF3IYfiBZhGF/QzrpJO2P75SRJupIkOakd8PPffr/7971sz3QrcZqmm0mS/JqkP5TUJum30jT99rPs01O2UUn/fHfbZ7ukf5am6b9KkuTfSfq9JEn+tqSPJP3VZ9jHQ7UkSX5H0o9LGkqS5J6kvy/pv1X2OL4k6ee1A5o1JP2t73uHP0ZrMbYfT5LksnZcnNuS/o4kpWn67SRJfk/SVUmbkn41TdOtrOf+oLbnGYPP2/P2Q96etTvwvD1vz9szbs+FwPP2vP2Qt+dC4Hl73n7I23Mh8Lw9bz/k7bkQeN6etx/y9lwIPG/P2w95ey4Enrfn7Ye8PRcCz9vz9kPe/n+6mXDfiCvSrQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "NRLnLc2ZfPWB", "outputId": "71f8f284-c72b-44d8-ba77-65aa98c31de5", "colab": { "base_uri": "https://localhost:8080/", "height": 282 } }, "source": [ "img_gray_small = cv2.resize(img_gray,(25,25))\n", "plt.imshow(img_gray_small, cmap='gray')" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 4 }, { "output_type": "display_data", "data": { "image/png": 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\n", 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