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clusters_lab2.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "clusters_lab2.ipynb", | |
"provenance": [], | |
"collapsed_sections": [], | |
"mount_file_id": "1A08a-fL4vamfpq3oYA0F9Ba3JQ3wa-TO", | |
"authorship_tag": "ABX9TyOdkJydHvdHa2BMFywJm/dx", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/executed/30f10733aa32fa3b18af6dd38cc538b5/clusters_lab2.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "W3Zjv_ZYjVDn" | |
}, | |
"source": [ | |
"# Lab #2" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "OGzr4cMvqpSi" | |
}, | |
"source": [ | |
"Generate 3 arrays of normally distributed random numbers. Total points: 300" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 339 | |
}, | |
"id": "oIydbi93cTJW", | |
"outputId": "567cdb26-11e9-4c29-c01b-aa65455baa86" | |
}, | |
"source": [ | |
"!pip install munkres\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy\n", | |
"from numpy import random\n", | |
"from sklearn.cluster import KMeans\n", | |
"\n", | |
"truth = []\n", | |
"for truth_idx in range(0, 100):\n", | |
" truth.append(1)\n", | |
"for truth_idx in range(0, 100):\n", | |
" truth.append(2)\n", | |
"for truth_idx in range(0, 100):\n", | |
" truth.append(0)\n", | |
"\n", | |
"\n", | |
"# Generating 3 arrays of random normally distributed 2D points\n", | |
"#x, y = random.multivariate_normal([1, 1], [[1, 1], [1, 2]], 100).T\n", | |
"#x2, y2 = random.multivariate_normal([1, -9], [[1, -1], [-1, 2]], 100).T\n", | |
"#x3, y3 = random.multivariate_normal([-7, -2], [[2, 0.5], [0.5, 0.3]], 100).T\n", | |
"x, y = random.multivariate_normal([-1, -2], [[1, 1], [1, 2]], 100).T\n", | |
"x2, y2 = random.multivariate_normal([-1, -6], [[1, -1], [-1, 2]], 100).T\n", | |
"x3, y3 = random.multivariate_normal([-3.7, -5], [[2, 0.5], [0.5, 0.3]], 100).T\n", | |
"# Merging arrays togetger to plot them and display on the graph\n", | |
"x_final = numpy.append(numpy.append(x, x2), x3)\n", | |
"y_final = numpy.append(numpy.append(y, y2), y3)\n", | |
"\n", | |
"combined = numpy.vstack((x_final, y_final)).T\n", | |
"\n", | |
"plt.plot(x_final, y_final, 'o')\n", | |
"plt.axis('equal')\n", | |
"plt.show()\n" | |
], | |
"execution_count": 10, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Collecting munkres\n", | |
" Downloading munkres-1.1.4-py2.py3-none-any.whl (7.0 kB)\n", | |
"Installing collected packages: munkres\n", | |
"Successfully installed munkres-1.1.4\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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ZEFT+5y1xNHVDjNKPnKmS7sZATtRm45MVPPyt44srP0tFB3tu34i9uzZZ8+BusE6raRd1F+bIidpofLKCoaenG5bvz8xWce/YFCZOvYHnhndY68grM7PoEfO1rPFe3jgjJ2qj0YMnUZ03r9x84sgrGLj+amu+XGBupsUTl8QZOVFdO/pxB6VAFFhcdm+qTjGF/4IIa7yJgZwIMC9jv3dsCmuHD6D/899NHNTdN4koe2+aFuTYfm9BlUGcmFohAoI7F549X8XQ09MAWmvj6m9vG8TNdfurTLaNHIq9qIf7dy4fnJETIbzqozqvLbdxjdreNijXPbRzPZyexhOdTo9Yb8/9O5cXzsiJYF+Q49VqiV/Q75VLReOM2T+b3r6hr7nblq28BcGNsjgr7z4M5ESI1o+71RI/25uEt48KcDmPXpmZbdoazrua0+V+SjAFZtabLy+pBHIRuR/AnwDoU9Wfp3FMonZyg+Ge/ccXN43wcgrS0Go2Tt7Z9CbhFATnLs5h3fCBxRn3vqOVxdtE3RrOFpiT7N9J+SMasslr6AFErgPw5wA2ANgaJZAPDAzoxMREovslWirjk5WGgL6q18FDt20EAGNAXtEjmK0uLN721g9ciwMvvt6wcvOjm69d3OfT1EHRVl4Yxj+r9/4Npv07WaqYbyJyVFUHmi5PIZA/DeALAL4JYICBnLqVrXIkCqdHMHrXZgz2l1s+jj/YhwVmVq10nyUJ5CJyB4Adqvp7IvIyAgK5iNwD4B4AWLNmzdZTp061fL9EnbBu+EBLs2ZXqejgyitWtPxm8Kkb1yzO6hmYlydbIA/NkYvI9wG8y3DVgwD+EMDNUQagqo8DeByozcij/A5RlkSpbAkyM1s15t9dYemVgeuvxiODm1q+f+peoXXkqnqTqr7f/wXgpwDWAZiuz8bfDeCHImIK+kS5YVuqH3Xbt1aFzW5arWOn7tdy1YqqHgPwTvfnsNQKUR74TxJ6e4GbNnZoJ5YOkg3ryKnrxTnpF7aQxrSxQ7uwdJBsElettIJVK9QuUcvw3GAflAMvJ8iRr+p1GnqQJ+FuRMETncvPkpUftoKBnNIQZaZtK/Xz1l9HaWrVap13q5weoF6aHqjM6pVlpeWqFaIsCstlu2wzaG++ec/+46FNreIE8R4BFhJG/ShBHLD/3bS8MJBTZEuxwKTVY0ZpCjU+WbHOpBXAP3ngWeOOO3GU68vrvfXd5y/NtZxGEQHiDonNsIiBnEL5l6wD6cwEo86qTYKaQkXJdwPmbdPiKBUdALUt2laXivhkfcFO3CBe6BHM16fwrQ4pbkULV312FwZyChSUP447E/QHj/OX5lputWpbnHNV0Ym8iUNUvU4PZqsLDTN7p0dw7tLc4ptbZWYWXzvySkvHn0+ah0G8ipYkb6CUTdxYggKFbYoQdSZo2ujANnONckzT4pyiU4AIUg3iAHDeF8QBoLqg1k2U2y3u5stBaSnKJwZyChQWVKPOBKPukgPU8tdhmx+b9rXcu2sTZlIq8es0QW1jZZuCSMPfHWcmzV7l3YepFQoU1F8kzkwwbpAI+rjvT9E8tnvL4m2i5Mbbqad+tjViEcoiBfDo3Zsx9PR008zf20nRFSfnzV7l3Yczcgpk6y+yqteJNRO0BYlS0UHZcp3p474pRXNffbf7bSOHsH1D35L2Q4lroYUgDtRm2qMHTxrTN29/24qmIB5nf05bWipOeoayhYGcAplSGF/cvQWTn7s51sd5W/DYc/tGPDe8w7r9pDuTdxtZ3Ts21ZSi8W6JVjvhqFjV60QeW9YUnQK2b+izfrLwp4/i5rxtaSme6MwvplYo1GB/OfF/cm/qw/Tx3/Zxv0cEa4cPxFpZWdutR/CpG9dg7AenG3biybqCCO7cWsa+o/bzA/5PN63kvNN4Tik7GMipbYKCx9DO9Rh6arop6Lq13nFD8Wx1Ht+efj1wp/ksmlfF158/ba1xN6VAmPMmplaoLWw9vhukHHRnZquJSgRtw1nV68TOw8f504IWKplSIMx5EwM5LbkoJ+NsJ/Y6pSCCT964xhggH7pt42KOOYygtkXbY7u3JD4Ja3szYM6bmFqhJRelL0qWSgadgmD0Y7XyvoHrr27K6wOXc/2lomPdvq0ggkfvbiwTTFIeqfXfNwVo5ryXNwZyakmcuuUoJ+PiNIuKc+IzbvtZESwGcaA5QPqXt8/MVtGD5hLDsB3uW8VFO2TC1ArFFrdu2XbSzb18fLISq1lUqddBqehAUKtDdwr2DLQCkVIgQG2hzWN3b7EG3/HJCu5/crrp08UCLtfD21Ib3sfM5Y56Va8DpydaFp0nMMmEgZxiM/XvDqpbti0qOndxbnFmH8fZ81VcnFvAY7u3YOqhmzH6sc3W5ezuBhJfDMlRl4pO02pJLzcQ205EvjlbxXPDO/CzkVvx3PCOpuOY0kuKWvrlods2YvSuzQF/cY0A2L6hL/R2tPwwtUKxjE9WrDnhysws1g0faEq1uP8+/K3jDY2yZmarLXcq9ObY3eObtnRzc9phdexhwnrFhM2UbSmReVU88Mwx7N21CQWRwIoVRa1lLgA8MrgpfNC0bDCQk5UpDx42e/amWgA0BPPRgyebOh4m6VToDY5RAnXYCcGgvH9Qbtr7hmE7Rilgz073TSlKf3Q3mA9cfzVPbtIiBnIysvWsjhp4vTPmqBs9xFXyLcNPUrkR1qPbtuimILKYDw86RliMfm1mNvLmzkHVK7Q8MUdORraSwaDWqn7ubj3+k3xpeevC3OIJ1kgLjgKE9SuxLbrxlhcGHeNNSzrK5c7eo9aas3qFvDgjJ6OgnG7RKTQELFuJ3+p6B7+0N3pwVRcUe/YfB4DEO96ElUhGSd0EHSOoHTBQO4kZpxVvj0jT+Qhu37Z8MZATADSkPwoi1trrsidX7gaM7Rv6sO9oxXii8b6xqcRj879xeM3MVgOraOK02Q3rVxKWugk6hvtY2B7XwyfONATiMG4+3X3Tmjj1RsNzwO3blhemVqgp/RHWsGmwv9xQavfI4CbrEvFW6579O+AEpXRsVTRx0g9p9CsJOsZgfzlwYZIbeN3a/Dhmq/P4+vOnuX3bMsYZOUVKf5RDPqrbZqtBM9GgcrsFVfxs5NbFn+9tYWYf500kaXmiy7uuRwDcufXy4xJ0MrMgkigFZXscmUtfHhjIKfQ/uwB4bnhHS8ce7C9bg/CCqjW4+YNwUBBc1evgQnXBWkMeZ6xJql7827IpgLEfnF4sFRzaud66dVvSnum2N0WuBF0eEqdWROQ/isgJETkuIn+cxqCovcL+s8cJBqbqEdtuPbZKDadHcP7SXMMxhnauNy5jdwrS0I2wU93/bN0bqwu6mN4Y7C9j9GObGx4Pd0Vp1DYCNje+Z1XT4+P0CFvZLhOJZuQish3AHQA2q+pFEXlnOsOidohS3+0UogcDUx310NPTmDcEOPe4/pTGVUUH5y7NLS6ecXPHe3dtwuhdm7Fn//HFnPiqXgcP3baxaQVpJwR9qvEvXLKN05aCitJQ7Eev/6K5z23ONtWg1iVNrfwugBFVvQgAqvr3yYdE7eAPujZXrlwROUCacu22HuPe43qD27aRQ00nL92TdqYeJlkwPllBT0C+P8onmsH+MiZOvVHfc7RRlA6OplWj1XnlwqFlImlq5ZcB/IaIPC8i/1tEfjWNQdHSi1rfHbaQxSvOiTXbcVvZf7KTwpppxUlvPDK4yZiGWlCg1+lpaYKd1ceN0hUayEXk+yLy14avO1Cb0V8N4EYAQwCeFDHXiYnIPSIyISITZ86cSfWPoPii/gePkx9P47ZxL++0oDfEsI6KJjPWfiy1bo+mQF90CigV7echgOQrXynbQgO5qt6kqu83fH0TwKsAntGaH6DWmvkay3EeV9UBVR3o62Mrzk6LEhjTqKN2CtJ0Ei7ouHnbf9L2higAph662RjEg4Jq70rzEv3VpSIG+8uY/NzN+OLuLU0ndvfcvtH6uMXtH0/5kzRHPg5gO4DDIvLLAFYC+HniUdGSG9q5vilH7hQEV65cgTdnqy3VUdtqsU2XBdWjx7l9p8XdwT6osdbEqTdw7lLz7L7gS88EnTA1PW7bRg4lXvlK2SYaZ2sW/y+LrATwVQBbAFwC8Puqeijs9wYGBnRiYqLl+6V0sDdHcqaTxkHbvG0bOWQM/OVSEf/3zQvGXLsADYuj4lo3fMBcDZPwuNR+InJUVQf8lyeakavqJQCfSnIM6hxu2Jtc3E8QQSdzbVMq2+VR34jjfmqg/Ek0I28VZ+TRcMbcfVqZkbvXe59/2yeBO7eW8e3p1xtq7W/9wLXGpmZ7d9V2GfLW8IvUTrjy9ZZNthk5m2ZlFE9Qdaegk7mf+OB11t/zP/+23udfO/JKQx3+2fNVjL1wGnduLTedIAXQ8Bqbma3i7PkqX285xF4rGRW0SQFnSfkVlIpxr/v686eNM3Pv8x+nPrw6rzh84kxTvxzTSVDb/VG2MZBnVN4WxlB0QecmHhnchEcGN1lPULrPf9hGFbbfC7usldtQ5zG1klF5WxhD6Qp7/k0pmqCVn6bjRXkt8fWWDwzkGZW3hTGUrrDnf7C/3NTx8ZM3roGhQaS18VnYHqF8veUHUysZlbeFMZQu93l++FvHFxtiXbGip+k23tfD+GQFYz84jQVffn33r15n3dNz765NDR0le6TW2yVsIxHKFgbyDGOd9/IQVGZ6obqweLuZ2WrgPpyjB08aN6hw9wM1rSi9c2sZF+cu38eCNm5PR/nAQE7UZt7AXep18NaFucUA7F2yH7dyKegEue1YpgoZVqvkDwM5URv5Z8amPuKz1Xnc/+R07H04bZUsVxUda4UL9/rsDjzZSdRGUfvA2wIsYK8ksW2bd+7SnPVYBXPXaVar5Axn5ERtlHSmG1RJYjpBft6zbZ6foPaG4d+BiNUq+cNATtRGcRfyeEWpJPGfIF83fMB6W/X86wbzsPtg/59sYiAnaqOwPvC2vT/LpWLTEvsoSr2OdUbu5QbxoPsI6qXOYN5ZDOREbRS2PsDU1VAAbN8Qf1et8ckK3rpgz4/7haV92P8nuxjIidosaH3AYH8ZE6fewBNHXmlIfew7WsHA9VfHSnnY6spFANO5VAWwdvgASkUHe27f2HRf7P+TXQzkRBlz+MSZpoZZ3pmvP2hv39DX0G/cTXnYqmNUa+mc6ry5MmZmtoqhp6YBNKZMuEFFdrH8kChjbDPcysyssU/9E0deMaY8bKWFq3od+7ZDddUFxejBkw2Xsf9PdjGQE2WMbYYrAPbsP94UtG0x2VaLfrE6b0y5+PnfUEyNumx7k1J7MbVClDFDO9fjvrGppgDt7uITVcFSAXPe078liOkNhf1/sokzcqKMGewvh2U+mviTKEWnELg6NIzTY259S9nEQE6UQWVLemVVr2PMU3/yxjVNKQ/bMUrF5mP47b7hOs68c4SpFaIMGtq5HkNPTTfksp0ewUO3bQQQvU+9v3ql6BSw5/bLx7CtMj184kzTZVzVmV0M5ERZ5c+X1H+Omqc2LT7avqGv4Wcb74nO8clKw+YTAFd1Zg1TK0QZNHrwZFOdd3W+uSQwzGB/GUM71y/WgD9x5JWG0kXbPp9ukHfLHU0nWd3aduo8zsiJMiitVZT+Jf+mShg/7x6fYW13uaozGzgjJ8ogW9oj7irKqP3PG3iie1ig5qrObGAgJ8qgtFZRtjJj9q7qDArUXNWZHYkCuYhsEZEjIjIlIhMickNaAyNaztJaRdnqjNl9AxjauR5OoTmTvqrX4arODEmaI/9jAA+r6ndE5Jb6zx9KPCoiSmUVpamM0VUuFXHu4pzxRGbDG4DvV90ySAbx7EgayBXAL9W/vwrAawmPR0QJeeu9ryo6xhWe3pWbplpz78lO/5uAm3phIM+OpIH8XgAHReRPUEvT/FryIRFRq/xVKrbeLG4wdncEsi30YQ/yfAgN5CLyfQDvMlz1IIAPA7hPVfeJyN0AvgLgJstx7gFwDwCsWbOm5QETkV2cKhU3GAelcNiDPB9CT3aq6k2q+n7D1zcB/BaAZ+o3fQqA9WSnqj6uqgOqOtDXF3/bKiIKF2emHCUYswd5PiQtP3wNwG/Wv98B4G8THo+IEog6U47a3ZuUalEAAAaySURBVJA9yPMhaY783wP4koisAHAB9dQJEXXG0M71TScvnR7ByhU9OHepdpltT06bVqpn2GCrvRIFclX9KwBbUxoLEaXgihU9i4F8Va/T9lJB/wlXNthaelzZSdQlTA2uLkTcDShNphOubLC1tBjIibpEVgIoSxbbj4GcqEtkJYCm1fCLomMgJ+oSWQmgLFlsPwZyoi6RlQDKksX248YSRF3CtLXbUpT9RSktTKPhF0XHQE60DIUFY9v1LC3MJgZyoi4RNciG3S7o+qDKGAbyzmGOnKhLRC0/DLtd0PVZqYyhRgzkRF0iapANu13Q9VmpjKFGDOREXSJqkA27XdD1WamMoUYM5ERdImqQDbtd0PUsLcwmnuwk6hJRyw+DbudWq8xW51EQwbwqyr7jsLQwe0QN+/kttYGBAZ2YmGj7/RKRnb9aBajNxDnjzg4ROaqqA/7LmVohIgDZabpF8TGQExGA7DTdovgYyIkIQHaablF8DOREBCA7TbcoPlatEBGA9jXdovQxkBPRIpYW5hNTK0REOcdATkSUcwzkREQ5x0BORJRzDORERDnXkV4rInIGwKm233E81wD4eacH0QKOu7047vZa7uO+XlX7/Bd2JJDngYhMmJrTZB3H3V4cd3tx3GZMrRAR5RwDORFRzjGQ2z3e6QG0iONuL467vThuA+bIiYhyjjNyIqKcW9aBXETuEpHjIrIgIgO+6x4QkZdE5KSI7LT8/joReb5+uzERWdmekTeMYUxEpupfL4vIlOV2L4vIsfrtOr7PnojsEZGKZ+y3WG73kfpz8JKIDLd7nIbxjIrICRF5UUT+UkRKltt1/PEOe+xE5Ir66+el+ut4bftH2TSm60TksIj8qP5/8/cMt/mQiLzpee18rhNj9Qt7zqXmP9Uf7xdF5FdSu3NVXbZfAP4ZgPUA/heAAc/l7wMwDeAKAOsA/ARAwfD7TwL4eP37LwP43Q7/PY8C+JzlupcBXNPpx9wznj0Afj/kNoX6Y/8eACvrz8n7OjzumwGsqH//RwD+KIuPd5THDsB/APDl+vcfBzCWgdfFtQB+pf79OwD8jWHcHwLw7U6PNe5zDuAWAN8BIABuBPB8Wve9rGfkqvpjVTVtSHgHgG+o6kVV/RmAlwDc4L2BiAiAHQCerl/0PwAMLuV4g9THczeAr3dqDEvgBgAvqepPVfUSgG+g9tx0jKp+V1Xn6j8eAfDuTo4nQJTH7g7UXrdA7XX84frrqGNU9XVV/WH9+18A+DGAbumreweAv9CaIwBKInJtGgde1oE8QBnAac/Pr6L5xfSPAMx4/lObbtNOvwHg71T1by3XK4DvishREbmnjeMK8pn6R8yvisgqw/VRnodO+jRqMyyTTj/eUR67xdvUX8dvova6zoR6qqcfwPOGq/+5iEyLyHdEZGNbB2YX9pwv2eu56zeWEJHvA3iX4aoHVfWb7R5PKyL+DZ9A8Gz811W1IiLvBPA9ETmhqv8n7bF6BY0bwH8F8AXUXvxfQC0t9OmlHE9UUR5vEXkQwByAJyyHafvj3U1E5O0A9gG4V1X/wXf1D1Fbqv5W/dzKOID3tnuMBh17zrs+kKvqTS38WgXAdZ6f312/zOv/ofbRaEV9NmO6TSrC/gYRWQFgF4CtAceo1P/9exH5S9Q+ei/piyzqYy8i/w3Atw1XRXkeUhfh8f5tAB8F8GGtJz8Nx2j74+0T5bFzb/Nq/TV0FWqv644SEQe1IP6Eqj7jv94b2FX1WRH5LyJyjap2tAdLhOd8yV7PTK2Y7Qfw8fpZ/XWovdv/wHuD+n/gwwA+Vr/otwB0aoZ/E4ATqvqq6UoRuVJE3uF+j9oJu79u4/hMY/LmBv8VzON5AcB769VBK1E7Ibe/HeOzEZGPAPgDALer6nnLbbLweEd57Paj9roFaq/jQ7Y3pnap5+i/AuDHqvqnltu8y83li8gNqMWxjr4BRXzO9wP4t/XqlRsBvKmqr6cygE6f6e3kF2oB5FUAFwH8HYCDnuseRO2s/0kA/9Jz+bMAVte/fw9qAf4lAE8BuKJDf8d/B/A7vstWA3jWM87p+tdx1FIEnX7s/yeAYwBerL/Ar/WPu/7zLahVLvwkI+N+CbU851T9y636yNzjbXrsAHwetTchAHhb/XX7Uv11/J4MPL6/jlq67UXPY3wLgN9xX+MAPlN/XKdRO+H8axkYt/E5941bAPxZ/fk4Bk+lXNIvruwkIso5plaIiHKOgZyIKOcYyImIco6BnIgo5xjIiYhyjoGciCjnGMiJiHKOgZyIKOf+P5y6vm/AIsoTAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "iXu1mGrsrCJZ" | |
}, | |
"source": [ | |
"Apply and show **k-means** method clustering. Number of points: 300" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 809 | |
}, | |
"id": "wMedmY6X6ZhB", | |
"outputId": "5f18637f-3aa0-4587-8247-92b3e96cb140" | |
}, | |
"source": [ | |
"for cluster_num in range(2, 5):\n", | |
" kmeans = KMeans(n_clusters = cluster_num, init = 'random', random_state = 42)\n", | |
" y_kmeans = kmeans.fit_predict(combined)\n", | |
" \n", | |
" plt.scatter(combined[y_kmeans == 0, 0], combined[y_kmeans == 0, 1], s = 100, label = 'Cluster 1')\n", | |
" plt.scatter(combined[y_kmeans == 1, 0], combined[y_kmeans == 1, 1], s = 100, label = 'Cluster 2')\n", | |
" plt.scatter(combined[y_kmeans == 2, 0], combined[y_kmeans == 2, 1], s = 100, label = 'Cluster 3')\n", | |
" plt.scatter(combined[y_kmeans == 3, 0], combined[y_kmeans == 3, 1], s = 100, label = 'Cluster 4')\n", | |
"\n", | |
" plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], s = 300, c = 'yellow', label = 'Centroids')\n", | |
" plt.title(str(cluster_num) + ' Clusters')\n", | |
" plt.legend()\n", | |
" plt.show()" | |
], | |
"execution_count": 4, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "8-sLqtnDrfOI" | |
}, | |
"source": [ | |
"Apply and show **hierarchy** method clustering. Number of points: 300" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 809 | |
}, | |
"id": "Px2Yd165Fc8d", | |
"outputId": "c5189760-0756-4ec0-c5c0-8292ff51dfba" | |
}, | |
"source": [ | |
"from sklearn.cluster import AgglomerativeClustering\n", | |
"\n", | |
"for cluster_num in range(2, 5):\n", | |
" hc = AgglomerativeClustering(n_clusters = cluster_num, affinity = 'euclidean', linkage = 'ward')\n", | |
" y_hc = hc.fit_predict(combined)\n", | |
"\n", | |
" plt.scatter(combined[y_hc == 0, 0], combined[y_hc == 0, 1], s = 100, label = 'Cluster 1')\n", | |
" plt.scatter(combined[y_hc == 1, 0], combined[y_hc == 1, 1], s = 100, label = 'Cluster 2')\n", | |
" plt.scatter(combined[y_hc == 2, 0], combined[y_hc == 2, 1], s = 100, label = 'Cluster 3')\n", | |
" plt.scatter(combined[y_hc == 3, 0], combined[y_hc == 3, 1], s = 100, label = 'Cluster 4')\n", | |
"\n", | |
" plt.title(str(cluster_num) + ' Clusters')\n", | |
" plt.legend()\n", | |
" plt.show()" | |
], | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "aOC4EWBJr2Bm" | |
}, | |
"source": [ | |
"Create **dendrogram** of *hierarhy* clustering method. Number of points: **300**" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 265 | |
}, | |
"id": "A1VW9HnqD8oW", | |
"outputId": "25425bc5-316f-47a4-e299-5e229bc51ddf" | |
}, | |
"source": [ | |
"import scipy.cluster.hierarchy as hierarchy\n", | |
"\n", | |
"dendrogram = hierarchy.dendrogram(hierarchy.linkage(combined, method = 'ward'))\n", | |
"plt.show()" | |
], | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "FaibS6VPsNCZ" | |
}, | |
"source": [ | |
"Create **dendrogram** of *hierarhy* clustering method. Number of points: **5**" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 516 | |
}, | |
"id": "AdUYfVRDIl-s", | |
"outputId": "3763d86f-06b5-463f-da28-1d8e51de0856" | |
}, | |
"source": [ | |
"# Generating 3 arrays of random normally distributed 2D points\n", | |
"x, y = random.multivariate_normal([1, 1], [[1, 1], [1, 2]], 2).T\n", | |
"x2, y2 = random.multivariate_normal([1, -9], [[1, -1], [-1, 2]], 2).T\n", | |
"x3, y3 = random.multivariate_normal([-7, -2], [[2, 0.5], [0.5, 0.3]], 1).T\n", | |
"# Merging arrays togetger to plot them and display on the graph\n", | |
"x_final = numpy.append(numpy.append(x, x2), x3)\n", | |
"y_final = numpy.append(numpy.append(y, y2), y3)\n", | |
"\n", | |
"combined_minor = numpy.vstack((x_final, y_final)).T\n", | |
"\n", | |
"plt.plot(x_final, y_final, 'o')\n", | |
"plt.axis('equal')\n", | |
"plt.show()\n", | |
"\n", | |
"dendrogram = hierarchy.dendrogram(hierarchy.linkage(combined_minor, method = 'ward'))\n", | |
"plt.show()" | |
], | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "PhxFH-Qssbyw" | |
}, | |
"source": [ | |
"Analyze **error percent** of hierarhy and k-means methods based on confusion matrices + **Hungarian** algorith usage" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 655 | |
}, | |
"id": "kqiPe6vrdzbG", | |
"outputId": "4d77b5cd-311b-4856-a31b-1462eec17c6d" | |
}, | |
"source": [ | |
"from sklearn.metrics import confusion_matrix\n", | |
"from sklearn.cluster import AgglomerativeClustering\n", | |
"from munkres import Munkres\n", | |
"import numpy as np\n", | |
"\n", | |
"\n", | |
"def make_cost_matrix(c1, c2):\n", | |
" \"\"\"\n", | |
" \"\"\"\n", | |
" uc1 = np.unique(c1)\n", | |
" uc2 = np.unique(c2)\n", | |
" l1 = uc1.size\n", | |
" l2 = uc2.size\n", | |
" assert(l1 == l2 and np.all(uc1 == uc2))\n", | |
"\n", | |
" m = np.ones([l1, l2])\n", | |
" for i in range(l1):\n", | |
" it_i = np.nonzero(c1 == uc1[i])[0]\n", | |
" for j in range(l2):\n", | |
" it_j = np.nonzero(c2 == uc2[j])[0]\n", | |
" m_ij = np.intersect1d(it_j, it_i)\n", | |
" m[i,j] = -m_ij.size\n", | |
" return m\n", | |
"\n", | |
"def translate_clustering(clt, mapper):\n", | |
" return np.array([ mapper[i] for i in clt ])\n", | |
"\n", | |
"kmeans = KMeans(n_clusters = 3, init = 'random', random_state = 42)\n", | |
"kmeans.fit(combined)\n", | |
"\n", | |
"hc = AgglomerativeClustering(n_clusters = 3, affinity = 'euclidean', linkage = 'ward')\n", | |
"y_hc = hc.fit_predict(combined)\n", | |
"\n", | |
"plt.scatter(combined[:, 0], combined[:, 1], c=kmeans.labels_, edgecolor='')\n", | |
"plt.title('K-means method')\n", | |
"plt.show()\n", | |
"\n", | |
"plt.scatter(combined[:, 0], combined[:, 1], c=y_hc, edgecolor='')\n", | |
"plt.title('Hierarchy method')\n", | |
"plt.show()\n", | |
"\n", | |
"\n", | |
"cm_kmeans = confusion_matrix(truth, kmeans.labels_)\n", | |
"cm_hc = confusion_matrix(truth, y_hc)\n", | |
"\n", | |
"cost_matrix_kmeans = make_cost_matrix(kmeans.labels_, truth)\n", | |
"cost_matrix_hc = make_cost_matrix(y_hc, truth)\n", | |
"\n", | |
"indexes_kmeans = Munkres().compute(cost_matrix_kmeans)\n", | |
"indexes_hc = Munkres().compute(cost_matrix_hc)\n", | |
"\n", | |
"mapper_kmeans = { old: new for (old, new) in indexes_kmeans }\n", | |
"mapper_hc = { old: new for (old, new) in indexes_hc }\n", | |
"\n", | |
"num_labels = len(np.unique(truth))\n", | |
"\n", | |
"new_labels_kmeans = translate_clustering(kmeans.labels_, mapper_kmeans)\n", | |
"new_labels_hc = translate_clustering(y_hc, mapper_hc)\n", | |
"\n", | |
"new_cm_kmeans = confusion_matrix(truth, new_labels_kmeans, labels=range(num_labels))\n", | |
"new_cm_hc = confusion_matrix(truth, new_labels_hc, labels=range(num_labels))\n", | |
"# Error percents\n", | |
"err_pct_before_hung_kmeans = (np.sum(cm_kmeans) - np.trace(cm_kmeans)) / np.sum(cm_kmeans) * 100\n", | |
"err_pct_before_hung_hc = (np.sum(cm_hc) - np.trace(cm_hc)) / np.sum(cm_hc) * 100\n", | |
"err_pct_after_hung_kmeans = (np.sum(new_cm_kmeans) - np.trace(new_cm_kmeans)) / np.sum(new_cm_kmeans) * 100\n", | |
"err_pct_after_hung_hc = (np.sum(new_cm_hc) - np.trace(new_cm_hc)) / np.sum(new_cm_hc) * 100\n", | |
"print(\"K-means error pct BEFORE hungarian alg.: \" + str(err_pct_before_hung_kmeans))\n", | |
"print(\"K-means error pct AFTER hungarian alg.: \" + str(err_pct_after_hung_kmeans))\n", | |
"print(\"Hierarchy error pct BEFORE hungarian alg.: \" + str(err_pct_before_hung_hc))\n", | |
"print(\"Hierarchy error pct AFTER hungarian alg.: \" + str(err_pct_after_hung_hc))\n", | |
"\n" | |
], | |
"execution_count": 12, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:34: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:38: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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8wlS3tuHl9h2Yd/Swrs3dzp6prQ1iTkpFenY2W69fM2jfeTOApMxM7CugFFwTlxpsm/AkkcnJ2FtalrggRZ+63gb2dXc7exo7u5R7TfcLKeQSySPOi2070NmjDnuDblLDtgpDfRqWu+amRlFQ8/xWgKCEeJpXYHHm0kagTmrekiuxMazzv0SuolDbvirfDxyCyQOYObGkSCGXSCS0rOlq4BmSnZtLXHoaLrZVSi1ythYWWJiaGrg1mgiB130OszczMeHLPv15q1MX4tPTqVfdsVKLOEghl0gkKqy5dIGvjxwkLj0ddzt7PunRi95e3iW+PzghQdU33d3Ovty7/YrC2cYWZ5t76yd/t5BCLpE84mTkZJORk0M1K2tAmz723d07dC6J4clJvLRlEweemloi4dMoCuam6n4UHlXvuDNGp6bw+aEDHAgOxMLUjHrVq/NEo6YM9WmAaQXn637YkUIukTyiaBSFLw8fYPn5c6Tn5NDG1Y25fQeyNeC6gV95Zm4Ou2/eYFiDRqy5dIEL0VE0cnJmbNPmuso/N+Nv89G+3RwNDaFmlSr4VHfk2u04vXGGN2gEaLMbPr1hHZdj76TriEpN4XBoCHsCb/DDwCF39b0/bEghl0geUZafP8evBYoon46M4MUtGxlUv4FqfyszM8avW8P5vPJr64H1Vy6zbvR4zExMeGbjeoITEwCITEkhkhRa13Tl7K1I3YPh80P7aezsQlZurp6IF2TT9as879uORpXYi+ReI7+/SCSPKJsL1L7M53JsDG3c3LCz0Ldja+tNCp2I5+MfG8Pco4c4HRmhE/GC3EyI19vdx2dkMOfgfqO5XfIJTDAcS2IcKeQSySOKjbm5aruHfVVWPTGaDrU8qG5tTadatXm7YxdOhIeq9l967ozR0PiEDMPgm3O3Imjj6kYtI1GUZiYmtHF1K+G7kIAUconkkUUtIVZvr7q42dmz+fpVjoWFcjs9nSNhIbyxcyurL11QHSdXUYhKTaF+df2q8AJwq2Lo413f0QlTExOWDB1Bq0Iuj6ZCMLNzN2pUqVLi97E78AZDV/1J859/ZOrG9QQmxJf43ocFWXxZInmE2XztKkvOnuZ2ehp96tbjtQ6diEpJpu/ypaUa59v+g/B1c2f2gX0cCgnCzc6el9p1wMbMnBe2bCQ7L7eJhakpS4Y9TmePOrp707Oz8Y+NITQpkbZu7rjZlTzfycXoKB7/awW5BXTM3c6ePZOfLnfN0AcRWXxZIpEYMNinAYN99A83t92KLNUYNW2r0K9uPazNzfl58DBd+29nT7P8gh9VLa3wqFqVTh61eaJRE4O6m9bm5rR2daN1Gcwp/+RFZxYkPDmJQ6HBdPGog5mJiWqSrlyNhovRUdhbWd33AKWKQAq5RFJJyMrNZcv1q1yIjqKJswuD6zfQq2afmZPDojMn2RcUiLONLVNb+5apyEJhE4kapsIE1ypVaOXqxhsdOmNdyN7+h98ZZh/cp3sdm56Gd/XqFV482VgJuO+OHeHZ//7F3tKSZ1q14cW2HXTXLkZH8fzmjYQnJwHQvY4XCwYNNXpmUBmQQi6RVAJyNRqe2rBOL9nTX5cusGLEaMzygmde3b6ZHTcCdNf3Bt3kr5FjDULvi6NFTVeG1G/AJhWvFt16FA2f9OhNL6+6urbjYaHcTIjH19WdVRcN7ekbrvjzSffeFSqYwxs2ZsUFPz3PGDMTEy5ERwHaw9Z5Rw/jZGPLmCbNAHh9+xadiAPsDw5k/oljzOjctcLWda+Rh50SSSVgb9BNg4x9JyPCdcIdkpigJ+IA2RoNS/3OlGm+7wYM5qdBw3i6ZRuaGPHndrSx0c6Tm8tTG9Yxbt0a3t+zk/4rlhKVkmLQP1dRKryIcmtXN+b1G6jzgGnq7GKQaxzg3yvaWqChiYnciL9tcH1/cGCFruteI3fkEkkl4HqhCMl8AvLa49PVc2nHpaaRo9Hodu0lxUQIBtSrz4B69bkZf5thq5eTlp2tu97OrRYt8jIY/nftioEQJmYauh328qx7V/KsDG/YmOENG5Oj0RCVkkLXpb8a9Ml//1WtrLAwMSVLo+/Hfq9rk1Y0ckcukVQCWtVUPwhs5ao1mzRxqYGrisve6VsRNFrwHdM3bSAmNbVMc9d1qM7akWMZ1qAhbVzdeLldBxYPe1x3/YyRw9EuHnWwNjPDVAgGeNfnyz79yzR/STEzMcHd3p7OHrUNruWbVewtLRnfXN/t0gTKnX/9fiN35BJJJaBDLQ9GNW7K2ssXdW2PN2xMlzw3PjMTExYMGsar2zYTmpSIiRBoFEVXxm3HzQASMzNY9cSYMs3fyNmF7/oPVr1Wz0hJuLc6daGRkzMaRdE7lC0KjaKUO6XsjwOH8PmhA+y8GUB1a2umtvJliE9D3fWX2rZny/WrROc92DSAf0yMnktkZUP6kUsklQi/W5FcjImmsZMzrVTc9TSKQsDtON7euU134FcQKzMzWtSoycwu3XWmkfKSkpXFyDUr9RJkDa7vw48DS17MeONVf745epiQpER83dz5tEdvGjk5E5KYwGcH93M8PIw61arxWvtO9PD0Ktd6vz12mB9PHNNrszA15cjT06hubVOuse82xvzIpZBLJA8hY/5ezcmIcKPX7Sws2T/lGV3q2vKSmpXF+iuXuZkQT1s3d/p71y/xznrHjQCmb96g1+ZsY8vuSU8xeNWfhCYl6trNTEz4d8yEcpVle2rDP+wPDjJoXzlCm5bgQcaYkEsbuUTykJCr0bD4zCnG/L1aNcdJQZKzMtkWcL3C5ra1sGBi85Z81K0n3et4sS3gGluuXyW9wAGpGokZGby+fYtBe0xaKr+ePaUn4gA5Gg1/FzAvlYWGKoWlzU1M8K6ubiKqDEgbuURyl9hy/SorLviRkZPDUJ+GTG7RqsS71IjkJHbdvIG9pRX9vesZBNwUJiQxgdFrVxOdpn+gaWdhSbYmV2crL0jhiMiK4HJMNE/++zdxeV40jtY2LHt8JI1UxBNgw1V/0nPUxd6YtSC7nC6MT7dqw9br1wgp8JB4sW2HSl0tSAq5RHIX+Mf/Em/v3KZ7ffZWJLdSU5jZuVux9265fpXXt2/RCZabnR1/PTEWdyPZAgFmH9hnIOKgjQZdP2Y8w1ev0HO5szU3Z4B3/dK8JZIyM9gTGIiVmRk9Pb1UDzBn7d+rE3GAuPQ0Zh/Yy4oRo1XHjEtPU223t7BkamtfVl28oNdHAI/lFacoK842tmwaP5lN165wKyWF7nU8Vc8bKhPStCKR3AV+O3vaoG3F+XNG83ArisLWgGu8s2s7M3Zt19t1RiQn88OJo0XOVzhYKJ/M3ByqWlqxcMhj+Dg6AdDUpQZLho3QBfSUhBPhYXT57Vfe2LGFF7ZspPefvxGskjP8dKShXf5UEbb6XkbqgP44cAj2llb8/tgI3aGsa5UqfNmnf5nSDhSmioUFY5s257UOnSq9iIPckUskdwU1G3VqdjZZublYqGTlm3VgL3/4nTU6nl+Bgg4JGeksOHmcE+FheFZzYLpvO2rZV+VqXKzBfY2cnHG1s8PVzo7unl5ldu/7YM9OUrKzdK8jkpP5+shB5g/S90yp61DdIHiprhH3RIAWNWryftcefHvsMGnZ2dhZWPJe1+50reMJaB8668dMIDMnBwtTU9UEWBIp5BLJXaGfdz0DYe7kUVtX37IgkcnJLD9/rsjxGuTtpjWKwqT1f3MpJhqAC9FR7A28yYzOXfl43269nCOO1tbM6zdQb5yyiHhiRgYBKmHtR0INvwW81bELL2zZqGd/j0pJ4esjB3mtfSfV1LLPtGrD6MZNCUlMwMuhumoulpL6oT+qyE9HIrkLvNmxC5HJyey8GYACtKrpyldGIhtDkxKLPHh0sLLi5Xba7H3HwkJ1Ip5PSnYWkSnJrB01jr8vXyQxM4MuHp6MadqsWOHOys3lQvQtHK1tjGYmVMtdAhgUaAbo612PjeMm8cGenZzNi/hMyMzg51MnyMrN5f2uPVTHsrO0xMuhOpk5OZU6C+H9Qgq5RHIXqGJhwS9DHiM6NYXMnFw8qlY12reJswtVzC30TBcAHdw96OVVl+ENG+OUZ89OyFDPqZKQkVHqnN4nwsN4eesmYvIOSfvVrcf3AwYjhGB/UCDJWZl0r+NFaqF15VPdWt0HvZGTs4HbIGizNaoJeY5Gw+wDe/nr0kUyc3No716Luf0G4l6KAhOPOuUSciHE18BQIAu4ATylKIqsmiqR5OFiW3zJMlsLCzp51GbHzTvZC93t7Ph16HBsC5liutSug425uV4CK4A+ddUPDY2Ro9Hw2rbNOhEHbRj/x/t2czw8TFdI2crMjPkDh+JT3VEvchNgWIOGGENtF29sZ7/4zCmWFTAtHQ8P47Vtm1k7alyp3tOjTHm9VnYCTRVFaQ5cA94t/5IkkkeLc7ci9UQcIDw5mSCV2pP2llb8MGCIzufZ3MSUPl7eNHWuUao5r8XFcivVMNXsmssXdSIOkJGTw4d7dzGv30DqOmhNLwJtCP70Nu2Mjj9cxUXQmNvgZpW856cjI4hMTi7ubUjyKNeOXFGUHQVeHgNGlm85Esmjx8GQICPtwTRx0Rdo/5ho9gcH0sylBkfDQkjPyWFX4A0O/B7EtwMGMbCeT4nmdLKx0SXWKo7IlGRmHdiDd7XqPNPSl55eXtRUKapckHc6dyMzN5f1Vy6jURSGNWjIh916qvZVC3YyFQIrecBZYiryk3oa+MvYRSHENGAaQO3ahmkmJZJHFWPFht3s9MXyWFgoU/79xyCXNkCWJpeP9u6mt5e3qntjYVxsqzCyURPWlDDc/WREBAC7Am8wI7Mr127HEZ+ejkfVqjhYWdHEuQa9vOpimpf329LMjDm9+jKrR28UKDIf+uTmLQ18zQf7NMDBiA1eYkixQi6E2AWopUl7X1GUDXl93gdygBXGxlEUZRGwCLRJs8q0WonkISAwIZ7FZ04RGB9PW3d3JjRtgbdDdb3KNT6OTvTPi7z0i7rF6Yhw/vG/pCri+cSlpxGckEB9x+JrbgLM6dWX/cGBRJUiT7kCfHXkoKrHSvc6XiweOlwn5oDe78YY4tOQHI3CUr8zJGVm0t+7Hq+271jiNUlKIOSKovQp6roQYgowBOit3I9UihJJJeJWSjIj16wkPi9g6Fh4KAeCg1gzcgx/nvfjckw0TVxcmNy8FZZmZvzvwF5+P1eycm3WZma42hVt8iiIqYkJlqbqEtDQ0YkrKgFGoO52CNpyaXuDbtKnbr0SryGf4Q0bMbxh+ULvH2XK67UyAJgBdFcURT1pgkQi0bH64gWdiOfjF3WLK7GxvFJoF3o1LrbEIg7axE8FA45i09L49thhjoSG4GFflRfbtqd9oTStHWp5EHJZ31WwgaMTHT1qGxXyovCPjSmTkEvKR3m9VuYDdsBOIcQ5IcQvFbAmieShJUYlsRWgmvDqfIGw/KIwEYJX2nXkhbbtdW2KovDUhn9YdfE8wYkJHAoNZvK/f+NfKJgoUSWVQO2qVXmiUZMyRYE2dSmd94ykYiiv14p89EokpaCXZ11WXTyv12Zhaqor2VaQ/LD8wjzTqg3t3WqRmZtDclYWPTwNvUhORYYbRIBmazSsunieWT211lJFUdgbZFg9/mhYKAuHuDB/4BDe3LGV9AIpcNu718LCxJSDocEG9/WrW4/udcpXvUdSNqR/j0RyD+ld15tpbdry+9nTZGs02FtaMrtnH9VMhM1r1OTxho1Zf+Wyrq2pSw3e6NC52PzkaVnqOb5TCwQSCSGoYmHB7ULRonYW2kr3A+r50K22J9M2beBYeCgaRSErN5cv+/QnOzeX+Ix0UrOzuRIbQ2MnF7rUriOTWt0npJBLJPeYmZ27MbWVL2FJiTRwdCpSlOf2HcAQnwacigjH26E6g+s3UE0gdTP+Nr+eOUVwQgLt3GsxqXlLHK2t9XKDAwyqr+9nPrlFK747fkSvbWTjJiRmZFDVyoqVF89zpECK3LO3Inlp6yY2jp2oa5O78PuPrNkpkVQw2VnZnN9/GQsrC5p0boBJCVzwykN4UhKDVy0jKTNT1+br5s67nbsxY9d2bsTfxs7Ckud92zHdVz8aU1EU/jx/jn/8L5Gr0ZCWk4/Xmu8AACAASURBVE1QQgKmQjDUpyE34+M5H21oq9//5NQi88dI7g7GanbKHblEUoEEnAvkgyGfExehDa/3bOLB59vex8m9ZL7dZWHlRT89EQdtMYdcRWHnpKeITk2hqqWV6k5eCMHkFq2Y3KIVE9ev5XJoDKAtA/fvVX/VxFUmQmBlLqXjQUJWCJJIKpDvnluoE3GAoEuhLJ5pNE6uQjDmCXMgOIis3FxcbKsUm887MSNDNb94Vq5hrc+B9eoXWd8yKTOTWfv30POPJYz5ezW7A28U8w4k5UUKuURSQaQlp3P1pKFond194a7O29Ozrmr7/JPH6Lb0Vy5GRxU7Rmx6GgLDg8oatlX4ccAQWtd0pa6DA8+1acvXfQcUOdaLWzay1O8swYkJnIwI57lNGziq8pAoL4kZGewJvMm1Mvi7P2zI70cSSQVhaWNBNWd7EmKS9NpreKpXkC8tN+Nv64J7utbx1Pl5D6znw9Mt27Ds/FmDVLHRqanM3LWdTeMn67XHpKaSnJWpK8M2c9d2FJWYzcktWjHYpwGDfRqUeI2HC4m2RlFYccGPjh4Vl2Pp3yuXeW/PTjLyXCMH1fPhuwGDi8zp8jAjhVwiqSBMTU2Z8OFIFrzym67NxNSECR+UPinojdtxRKem0srVFSszcxaePsFXh+/kOGnj6say4SN1Hi8fdOvBc23aMnjVMmLT9IOsL8fGEJ+ejoO1NZk5Obyzezubrl1FoyjUrebAJ917cToywmAN7nZ2jGzctFTrTs025vaoXpyiLCRkpOuJOMCWgGt0vVyHMU2bV9g8lQkp5BJJKUmKS+bQuuMAdBnRHnvHO8E4w18aiHt9V/auOoSFpTkDp/amQVv1uLklZ0+z/Pw50nOyGVS/AW937IKJELy6fTM7bmjzk1e1tOLj7j2Zd/Sw3n75dGQEr2zbxJXYWDJychjq04C3O3XFq5qDgZBXs7LShe4vPH2SjVev6K7dTIjnqY3rEBjmUDGWlbEomji7UKdqNb2c5gCD6pdsR18STkdG6Il4PodDQ+jhWZflF84RkphIh1oejGzURLVO6MOGFHKJpBRcPnaNdwfMJi1J65+98O1lfLH9Qxq1r6/r07Z/S9r2b1nkOMv8zjLn4D7d66XnzpCYkUEjJ2ediAMkZmbw0b7dqtV1dgfevHO/31mSs7J4qW0HnvlvvV7/F3zb68RsV6ECFoDReqETmxf9HtQwEYKFQx7jrR1buRgTjY25OVNatGZkoyalHssYxkrAOVhb89hfy4nOy+b437Ur7A8K5Jchj1XY3A8qUsglklLwyxtLdSIOkJaUzsK3/uC7g7MBOH/gMks/Wk2ofziNOvow9YuJ1G7objDO6kuGB6D/XbtCVIphVZyUrJKZJTZe9efTHr35e9Q4Vl88T3pODkN8GtDb604ZuKJyfLes4UpCZgb2lpZMadGKoT7aUm65Gg0xaak42diWyAbt4+jExnGTiElLxc7CAiuzoqNQ49LSMDc1wd7SqkTvs6GTMwO867PtxnVdm6O1NaZC6EQ8nx03A7gUHWVQoONhQwq5RFIK1LxSrp7Q7nLDAyJ5d8BssjK0duKjG09x7dQN/rj+I5bWlnr3ZOca5hXXKIpqjU8BDGvQiA1X/XVtZiYmBrv0XEVBoyg0r1GT5jXUSgjAUy3bcDDEME8KQA9PL4MMjNsCrvO/A3uITEnB2caWd7t0L3G62aJcFEHrNvnG9i0cDg3BVAgG+zTg8179ik0/APD9gMH87X+JI6HBuNtXZVLzlsw7cki1b2hS0kMv5I/mEa9EUka8mhl6XuS37Vy2Xyfi+cRFxHPsv9MG96jVr+zp6cVzvu2wKSRkjzdszLf9B7Fk2ONMbdWGT7r3Ylrrtgb3961bTy+NrRo9PL1YNGQ4loXsxjbm5oxo1FivLTwpiVe3bSIyRVvbMyYtlbd2biWgUBHmsjJz1w6dh0uuorDx6hW+OXa4RPeam5oyrmlzfhw4lJmdu+FuZ6/qFWNhYoqvm+E3oocNuSOXSErBs19O5MNhX5KdqRVsCytzpn6hzTuSnWl4AAeQlWnoyTHdtx2JmRmsvniejJwc+tatx5xefXGwtmb96An8cf4s0Skp9PD0YkyTZoDWXzzfZzxHoyErN4dVF8+TlZvLgHo+zOrRW3X+M5ERLD5ziujUFLp7evFsa1+2T5zC3KOHOBMZQf3qTrzWviO17PVD7nfeDCC70K5foyhsv3GdetXLF6malp3NvqCbBu1brl/j/a49yjTm4w0bcyA4kM3XrwFaEf+kRy+cVBKSPWzIXCsSSSmJDIxiz8pDCCHoOa4zrl7ar+0B5wJ50fcdNJo7f1M29tasCPqZKtXUzQy5Gg25ilKiOptqaPLMKcZs1+ejbjF67Wq9EnF9vLxZNHR4sWOvuXSBmbt3GLR/2K0nT7VsXab15pOVm0urhfP1UuQC1K/uyPaJU8o19pXYGEISE2jj6q6aVbIyYyzXijStSCSlxNWrBhPef4Lx743QiThAvZZevPPnK9Soow0Aqtu8DrP/e9eoiIO23FpZRRy0XiJFHUD+4XfWoM7nrsAbBCXEG7njDgPr+RjYuatZWTEs7xC0PFiYmjJWxed7cotW5R67oZMz/bzrP3QiXhTStCKRVCC9xnWh59jOZKRmYF3l/leBv10ojW0+2wKukasotKzpSmeVohYAdpaWrHpiNN8dP8KR0BAURcHDviqHQoNVbfyl5b0u3XGysWHj1StYmpkxvmlzRueZkSSlQwq5RFLBCCEeCBEH6FPXm/3B+lWAzE1M+KqAh8eIho2Z22+g6v11HarjU92JTdeuAhCfkcHr27eQkpXFhGYtyrU2UxMTnvdtz/O+7YvvLCkSaVqRSCo5uTm5nNh6loPrjpOeql+Dc2yTZoxr2hzTvLwsDlbWBgeY665c5qxKiD5o85X/ds7Q62bJWcM2yf1D7sglkkqI3/5L/PPtJmJC44gKjiH5ttZF0K56FWb/N5PGHbUh8aYmJszp1ZfXO3QmLj2NtZcu8Nu5MwbjXYqJppWrm15bdGoKx0JDDXKdgzbfieTBQQq5RFLJOH/gMjP6zEKTaxi2n3w7hU9GfM2vF76hqtOdUHYnGxucbGyMVrlv4uyi93rlBT8+2b9HNTUAaH3WJQ8O0rQikRQgPjqR/37ezn+/7CAxNqn4G+4D63/Yoiri+cRHJfKC7zskx6cYXBtUvwEd3D302h5v2FhvNx6blsas/XuNini32p6816V7GVcvuRvIHblEksfFQ/68N+gz0lO0dubFM5frEmJlZWRhZmF21+tvGiMuMp6bfkF4NatdogdMdEgs237by6g3h+q1W5iasuzxkewJvMH123G0rOlKp1r6EZFnIyMMXBYBenl5MatHnzJlRZTcXaSQSyR5/PLmHzoRB21CrDe6fYSiKOTm5FLV2Z6JH4xk+MvqHh53ixWz/+HPWWvJzcnFxNSEVr1KliM8IiBStd3MxIR+3vXp511f9XqdatVU25s41yiXiKdmZbE14BrxGen09vLWFbWQlB9pWpFI8rh2yjBkPCc7h9wc7e40MSaJBa/+xrFN985jI+BsIEs/Wq1bgyZXw+md5+kwuDUmpto/X0c3B9V7W/YsXVGIfHwcnXSZD/OpYVulXO6GkcnJ9F+xlBm7tvP5oQP0W76Uv1QyQErKhhRyiSQPr+YlK0W2e8WBu7ySO5zeeV613adtPVaHL2LxpW9ZFbqQ5+ZO1gk7QO8JXek6skOZ5/2m30CejHKg4ecXafDeGQbsTsUqo+zpPH46dZyI5DspejWKwueH9pNupKKQpHRI04pEksdzX0/mg6Ff6BJiGcPU/N5VnHGp7aTaXqOOMw4uVXFw0Sa6GvnGULqP7oT/sWt4NHDDq5l6tGY+SXHJ/PnpWs7uuUBNLxfGvTuCJp3uVPHZs+Ighz7fqnt9aPVR0mJT+HLHR2V6HxdUCkAnZWYSnJhAQ6eKqWn6KCOFXCLJo3Wf5vzm/x37/jqC375LnNp+zqCPEIKBz6hnGbwbdH68HV7NahN44U5BY4+G7nQbpc0brigK/seukZujoXEnH7qN7GgwRnxUAgvfWsbJbedwcq/OuHcf5+9v/tPlVg++HMaZXRdYcPILvJpqv5Vs+22PwThndl0gOiQGl9qlF97GTs6cj7ql11bFwoLaVdXt8ZLSUSFCLoR4E5gLOCuKElsRY0ok94Oani6MfWc4o94ayu/vr2LDT9vJTM3E1NwUjwZuTPpoFC26q5ctO/jPMf75bhMp8al0Ht6OCR88gYWVNj94VkYWpuamXDjgT25OLi16NMHM/M6fX3pqBie2nMXE1IT2g1rp7rOwNOeb/bPYMH8b18/cwLuFF4+9NAArG0tiwuJ4f/BnOpF3867B7E3v4tFAP//2h8O+0Il2Ulwyc8Z9Z7D27MxsNi/cyUs/PgOAolE3o2iMtBfHC23bszcokKhUrUukAGZ06mqQe11SNsot5EIID6AfEFJcX4mksmBqasrULybyzOcT0Gg0mBaTofDwvyeYNWqe7nXw5TAiA6PoPqoTi2b8SUTALcwszMjJ0qZtdantxGdb3qNOYw+unb7BewPnkBirtSELE4GjqwMjXhvCqDeHUqWaLRM+eMJgzl/e/ENvpx5xI4rvn/+VuXs+0bUFnA1UrWqkRkrinTJpfSd358JBf73rzbs3pqanS+HbSkQt+6psnziFTdeucDs9nd51vWkkTSoVRkXsyL8FZgAbKmAsieSBQghRrIgD/Dt/q0Hbvr+OsH/NUV3wTr6Ig9bP+4cXFzNv76fMf3mJTsRBuxuODb/NoreXYWFlzmMvDlCd84zKQajfvkvkZOfodvvZWerFLtToOuLO4ejAZ3qTGJvMP99uIvl2Cp0e8+Xl+VNLPJYa9paWjC9noi2JOuUSciHEY0C4oih+Ii8pTxF9pwHTAGrXLpl3gERSWShYkDkfRaOgYNwUcX7/ZbIys/E/dt1on61LduuEXKPRsGPpPo5sPElVRzvsnexISdAvNlzd1UHPZNOgrTe1fFwJu6buU57P0On96Dy8nV7b2HeGM/ad4SiKQnF/35L7S7FCLoTYBahVcn0feA+tWaVYFEVZBCwCbYWgUqxRIrkvhAdEYmJigmvd4gv3dhvZkWun9E0Yjm7ViYu4bfQeZw9HLCzNcatXk4iAW6p9crPvRFgueOU3Nv60/c5FFW2dWMAEk5WZTXRILB/98xYLXv4Nv32XjK7l7J4LRgVbiviDT7FCrihKH7V2IUQzwAvI343XAs4IIdopiqL+r1IiqQTERcYza9Q8Lh/R5uBu0aMJH655Qy8JVWFGvjGEqKBoti7ZTU62NgLTwqboQsiTPx4NaItRLP/f36p9ek/sBkBCTCKbF+3Sv1hgO1TNpSqv/TKNS4evML72dHJycklPSicjLZOqTnZM/2YKn215j8/Gf8fhf08azBN2LZIQ/zDqNPYwuCZ58ClzQJCiKBcURXFRFMVTURRPIAxoLUVcUtn58cVfdSIOWrvzz28sLfIeUzNTnpozDqsqVoA2AjPSyC4boJaPKwOe7gXAzfPBqn2GPt+PUW9pc6XERyXqojvVSIhOZMeyfayd9x8xYXHE30ogI02bfjYxNpmvp8wnOjSON5e8gKO7YWi8iYnAtoiSdJIHGxnZKXkoCLoUyp+z1vL3N/8RH5VQ5nEUReHof4Yh+Ec3FF8s/OA/x0mJTy22H2h3wGnJWrt6fi7xwgx9vr/uoLV2I3ejwUH5HC8idYBGo3B0w0nsHKowY+lLmJjom0u6je6Ek5vMfVJZqbCAoLxduURyz9n5537mPrVA5+O8cs4/zNv3abHRjQWJDIxizVcbCPYPw9zSnMw0/WIKVZ0NzSoxYXFsXriTuIjb+A5oRU5WycPNq9eshpWtJQAdh7U1cPVzq1eTKtVsSYhJpJpzVUxNTZn55yu80/9/ZGcYzmNbzYbUhLQi56zioN1xt+7djM+2vs8/320mMSaJTsPaMurtYVw9GcBv76/E/9h10lMzqFHHmSc/HUPfSTJl7YOOjOyUPBCc23uRjT9vJz05nW4jOzLg6V4lOmTLyc7h1xl/6gWqJMensuzTtXz891slmjvwYjCvdflQ1fMkn8LpYCNvRvFS+3dJitO6DW77fS/9nuyBlY2lzqQBIAQoKkf7kz4erUuJO+LVQQRfCmXHsn0oGgUbe2s0ORrG156OiYmgyxMdeOu3F7B3rKIq4gAeDdyp5mxvNKGXo5uDLhoUoHGnBuxeeYiIgEguHbmC9846zB7zLZnpWbo+UUExfPXkfKxsLPE/do3AiyE08K3HiNcHY1/dzuhnJbn3SCGX3HeObznDR8O+0Inxqe1+hF2L5NkvJxZ7b0J0IvFRiQbtxuzOhdnxxz7mTf3ZaKEGE1MTJn86hqHP99dr/+fbTToRz2fXn/uZufwVVn62jqCLobjXd+W5uZOp3cidi4eucPVkALnZufQc10UvM6GpmSkv/vAU/sevEeIfTlpSuu6hotEoHFh7lLiIeAY+08vo+2jTpzmPvzqIb6f9wtGNpzCzNKeaiz2aHA0NO9Rn2peTsLW3ASAzPZOJni/o1h9+/Rantp9TfeAAfDVlARl5tUBPbffj8IYT/Hz6Kz03R8n9Rf6feEA5ue0sy2f/Q1RQNK16N+OZzyfcNxtmamIqWxbvIfhSKA3a1aP/lB66EPKKYM3XGwxCvzfM38rEj0ZibWul156RlsmRDSfJSM2k4zBfvfzhBanTuBbpKems/uJfTu/0w9nDiSadGhB2NQJbB1tyc3Lx23eJm37BRVbb0eRquHzkikF7xA3Dg0yNRqG6qwO/nv+GrIwsvc/IvZ4r/af0NDrPzmUHCPEPN3r90uErxN+Kx8REGHxWTrWq88QbQ7BzqMIn62aQmpTKZ+O/58SWswAcWX+Cxu19GPXWMADWfb/F4CFkTMQBnYjnE3QxlKMbT9H1ibJnV5RULFLIHxA0Gg3bftvLsU2nAMHxzad1ArPrzwMEnA1kkd+8u+bTm5qUhqW1hcEuKz01g9e6fEjQpVAAti/dy97Vh5i755MKq5YTf8vwcDIzPYvUxDQ9IQ8PiOTNHh8TFxEPwE+vWtBjbGfVMeMi4xnh+BQ5eX7YV0/e4NC642VaX8jlMIO2Zl0bc3KbflItGztr6reuC4CFlQWBF0NY+dk6wq5G0LijDxM/HIlDjTtJojYt3MnOZftACCwsi885EnEjivaDW3N8853iyTb21thVr8Kyj9cw/oMncHCpysG/j+tEHLQPmMXvrqD7mE64eDhx/Yxh3vXSEhtu3D++vKQmpbF81t+c3HYWRzcHRr/9GG36yojQopBC/oDw/fRFbFm82+j1oIuhXDx0hWZdG1XovBE3bjH3mZ+4cMAfG3trRrw6mCc/HaO7vnflIZ2I53PhgD+nd/jRdkCrCllDu0GtCb0aodfm3dLT4BvI7x+s0ok4aMX+6H/q3iTXSphfpCQ06uhj0Fa3ZR2qOtnpQuvNLMx49ednsbGzBiA6NJbXu35IaqL2ADLgbCDn9l5kkd88TM1MWf3Fepa8t7LUa6ndyJ3Rbz/GuT0XWfP1BtKS0gk8H0Lg+RDO7b3IL+e+5uxuw4IN2m8WV3EZ40SHQa05+PexEs037t3HWfX5er02IQS+/e+esM4aNU+XfiD4chjn9l5i3t5PaNqlYv/tP0xIIX8AiIuMZ9vve4vtV/AgqqL4ZMTXusRLaUnpLP/f39So46zzcQ434gsdfv0WbdVTgJSayZ+MJuhSKKd3+AHaLH7vLHvZoJ9aKHtSbLJeMqryYl3FitycXLLyDhWdalXHvZ4rL7R9B1MzUwZN7Y1TLUc+GvqFnomj7+Tu+A5oyZL3VnJy21kSY5N0Ip5PiH84J7edo8OQNqz7frPB3BbWFmQV8/944087WDv3P6q7Ohj8e9B+hufxP6Ee8l/LR1tgudeErvy7YBvXT9/ZmZuamZCbo29iEkIw5p3hmJmbserzdeRk52JpbcHULyYaZFisKIL9wwxyyGhyNWz8ebsU8iKQQv4AcDsyvkg7LWhzaLTo0bhC5w28GKKXPS+fPasO6YS8ebdGrPnaMB9adnY2c8Z/h629DUOm96VeS68yr8PGzpovtn1A2PVI0pPT8W7pqWq2qdPEg+gQ/SzJwkToibi5pRnZmWUTdff6rvQc1xlLKwtMzU1x8XAi4FygXtTllePXqeXjamCn3vnHPg7/e4Kk2OTCw+qR7zOu5m9uYiL47tBsQvzDaNypAQfWHGX5/9bqzZXvFnk7Mt7gfoDF764g8oZhEQdHdwfqtdL+PzIzN2PBiS84tuk0J7efw8PHle1L93HjXJDePe0GtcLW3obJn4xm6PP9CL0agWdTj7vqsWLMc6jwQ1GijxTyBwCvZrWp7upg8MdpaWNJZlom9dvU5Y1F0zG3qNjczZbW6geWBdvbDWrNgKd76QoNCCFo0rkBi976U9dnx9K9fLXro1LvmDLTM9m7+ghhV8Np0rkh7Qe3LtLu/uSnY7h40F93wCmEMMibXZSIm5qakJv3wLSwMtftuvMJvx7J8lla0Ta3MOODNW+w6ZedBuPcCooxaMvJzi1WxC2szGk7sCWgLRix768jetctbSw58u8JnnhjCNVrOjDyraHsWrGfiABDYTZGoBFvncKh90IIOg71xbulJ9NbvW0QlNR+cGveXPKC7rVDjWp69v3C+O27xKF1x6niYMuAp3tRo07ZUtT6+NalRh1nooL1P+OuTxgWzJDcQShFHVffJXx9fZVTp4qPlHuUOLf3IrPHfKOzuXYY0oZ3V7yColGwrXr3Qqff6TeLM7v0baqz/5tJ+8Ft9NoCL4YQfCmUOo1r8UrH9/V8pUG7e5uz6b0Sz5uRlskb3T7k+plAXVuv8V1o3LEB//64hdTENLqM6MCzX07Auoq1rk90aCw7l+0nMy2T2PDb7Fy2v0Tzzdn8Lo06+HBm53nsnexo2bMpM/vP5swu9ZqYADXqOBETdrvYb0ugffgVZfoyMTVhxtIX6T1BmzslMTaJ/435Br+9homsanq5sPDcXPavOcI3z/5S5Lwl/Qby5pIXGPCUvtdM2LUIfnp9KSe3njXo/83+WSU+j1k77z8Wvb1M99rGzppvDszCu4Vnie4vTMC5QL6c/CNBF0OxtLbgsRcHMPXLiTJ5FyCEOK0oiq9BuxTyBwdtStNrVHOpSp1Gte7JnCkJqSx5dwXHN5+hmos9o99+jB5j1D1BAG4FRTOp7osG7Z5NPPj1wjcoisKZXecJOBtE/TZ1ad27GRt/2s76HzaTEp9KlxHtmfrlRPasPMQPL/xa7PqsqlhhaWVOl8fb8+xXE/UeahcO+vNG9+JrSPae2JWZy17Ra0uOT+G1Lh8U6fIH2m8kJ7acKbKPe31XGvh6s2fVoSL7DXq2D7b21jjVcqTv5O5sW7KHRTP+VO376s/TiA6JMThoLMzQ5/vx3887DNrzv3HY2Fvz+CuDmDJrrN71NV9vYPHMFRj7+/9g9et0H92pyLlB69U01m2aLt1APt1GdeTDv94o9v6iiA6Nxc7BVu9B/qhjTMilaeUBwsLS3GgZsbtFlWq2vPrztBL3r1HHWTXtaqvezdBoNMwaNY/D60/o2n18vfXSu25auJNbgdFcO10yF7iMlAwyUjLY/Osu4iLj+d/Gmbprzbo2Ysj0fmxZtFNrRxZQOP23dRVL3lz8PAA3/IK4cjKAxKhE/p2/VTWQqCCObg688etzfDVlgWoRB4Ce47rw7vJXuH0rAf8T11Xt0/ls+fVO9sI/Pv6ryBQCseFxtOzVrFgh3/HHPtX2Ic/1Y9LHo7C0sTAwycVFxvPb+6uMiriFlTmtejcrct58bkfGG4g4QOiVoh+QJcHFo+jcMpI7yKRZjzCpSWlE3Lhl9A9aDSEEM5a+hIWVvjhY2Vpycts5PREHDHJ0A5za4WcQkFISjm8+Q1yBc4TQq+Hs/GPfncNAlbeRnpJJekoG3077hemt3ua7aQv5/cPVxYq4iYlg2leTcHStzpfbP+Tt319Q7VfV0Q4htKXZFl/4hndXvMrwl4t350lLSufSYcNAo3zaDmhF697NGP7ywCJNCplphuYcIQTjPxjB2T0X+eH5X/nt/ZVEh9yxOV8/fdNoJkXbqjbMWPoS9o4lO9Cs6emCk0o2xaadG5bofknFIIX8EWXJeysZ4/osT9Z/mSk+L3OxCFEpTGpimsFB4arP15fIVFIUTbo0KPK6oih6ArTl190lcsl8d8CcIn30C9N+UGsW+s2j1/iuurYeY7vg6Oag18/ERNBn8p2EUhZWFvQa14UXv3+Gp2aPK5FNt3AfYSKY/PFomnTSfhYvfv80v1/9no/WvknD9vX1+jbv3hhTc8MydIqiMPepn5g1ci7bft/Lqs/XM73V24Rd11YJqt3IXXVtjTv5sCpsYYlMKvmYmpny2i/T9A7IPRq6M/GjkSUeQ1J+pI38EWTv6sN8Nl6/kno1Z3tWhPxSogjDRW8vY+28/8o8v9oBnVOt6nz41xu82vkDo/d5NHTn1wvzdKld5039WedNU1FUc7Znif93qi52gRdD+Pn1pZzffxn3+jWZMmusapj6raBorKtYkZqYxsVDV6jmUpVPn/ja4OGXz4QPniA9JQNnD0d6j+9q1DskOyub/WuOEnA2EJ82dek2qiPv9Psf5/dfNugrhDD4pjV4Wl9e+0VrRvvxpcX61YbymPTRKCZ/Mlp1/qJIikvmxNaz2DnY4tu/JaZmxdc5lZQeYzZyuSN/BDm03jBUPSEmiYuFUqkao6CnSXFY2lgw9Pl+2Fa1wcRE0HGYL5M+NhSKyR+PpoanS5ECEHolnK+enK97rSaitlVtqN2wlMEqAuwd7egxtjPfHJhl1E/aq2ltvtr5EduyVrPk0ncG84cHRPJC23eYVPdFzzA0DQAAIABJREFURrs+y7JP19BjbGfaDWzFs19NUh2zSjVbxs58nOe/mcLI14cW6eJnbmFO826N6DjUlw5DfTEzN+Op/4016GdqbqpqLju904+/vtpAbHgcL8+filMtR4M+63/YgkZTvJdOYewd7egzsRvtB7eRIn4fkEJeScjKzGb3ioMs/Wg1J7efK5VduzB2RirB5OerLorbt+K5cNBwB2iMzLQsYkLjmLv3E15eMJUJH4xk3MzH+fift+j0WFs6D2/LrA3vMPCZ3ji6OjB0etElYPesPETgBa2vdLuBrXhq9jis86ry1PR05uN/3lLNHW6MXuO7sCLwJ/6J+Y33V75WrojFzyd8r4uW1ORq2L38IKvzDiuHvzSQH47OoZpLVV1/E1MTnv92ClY2lsWOrSgK301fxKS6L/JWr08Y6z6NPSsP0rRLI56bO1mXGsChRlVmLH2JKir/j28FRrN45nKeafw6V08GqEbDpiWl6fLTSCoP0rRSCchIy+SVju/pRWH2n9KTt35TP4ArjoBzgbzS4T2yC/whN+3SkG8P/K/I+7Iysnil0/sGEYCAXt6RwpiamerZtvtM6saMpS+p2mkVRWH/miMc23ya62cCVRNWfbT2Tb3dcHpqBglRidTwdMbExITdKw7yxaQf9O7pOMyXdgNbc/XkdbIzc3Gp7UiHob407mCYR6W0HNt0mnXfb1bNceLVrDaL/ObpXmdnZXN04ykSopNoP7h1iQNn9v11mDnj9M1h5pbmrAj+CQeXaqSnZhATGoebdw3MzM3Yv/YoXz35o1Fzjk+butRvXZfNv+rXAS1tPIDk3iL9yCsxX0z6gd0rDhq0/3z6K13YdVZmNinxKVSv6WDQT42Lh6/w11f/Eh0cS5u+zek6qiN7VhwkKS6ZTsPaqh54bV2y22iASu1G7jRoW4/dKw6WKIDmsy3vFZt0a/OinXw3fZFem6mZKcuDfio2pe+23/bwz3ebdL7rT88Zd1f8kfesOsTnE743er1Zt0Z8s29Wuef5+ukF7Fi6z/CCgDZ9W/DKgqm4edfUu5QUl8zR/04x9+mfVMf838aZ/PfLdl2mRAtrC7qN7Mj0eZOLLDQtuX9IG3klJT0lnf1rj6peu+EXBMDauRsZ4/osY9ymMbXp61w+dq3YcZt2bsj/Nsxk4bm59BzXhRm9PuXfH7eyZ+UhZo/9lp9e/Y3E2CT9+VR24vmE+Iezc9l+TM1K9k/q0uGrxfbpN6UH7QbdEXsTUxOmfT2pRHnZBzzdi1/Pf8Oq0IW8+P3TJRbx6JAY0lOMVwoqzNq5G4u8PuLVwUVez83J5eb5YIPPujDO7ob2bAAUOL3Djw+GfG5g27Z3tKPfkz1wrVtD9datS3Yz9YuJmFlow0my0rPY9ed+nm70GgHnSn4OIrn/SCG/Txz+9wQvtpvJaNepfDVlPrdvqSdBCrsWaTSzn4+vN8e3nGHRjD9JSdAmYQq+HMZHw74gMz1T9R6A8wcus2HBNq6eDAC0UX6FQ+7X/7iVkS7P8FavT4gO1Saqqt+mbrHvq6QJq2o3Kt4WbW5hzpxN7/H94dm8s+xl/rwxv1hhLCvXTt/gmSavMcHzBUbVmMqSd1eU6D5jhZ6bdWvEp+tn0OXx9kbvPbPrPBM8n+e5lm8x1n0aP7++1OjZx+Dn+mJtZ/xhFHo1givHDbMeCiEYPeMx1XuS4pLZsmiXwb+vpLhkXu7wHpePFv+wlTwYSCG/D5w/cJlPn5jLtVM3iI9KZOey/Xww5HPVvm7eNbBUOQzzbOqBV9Pa7F97xOBaYmwy51RyeGgjL+fyZo+Pmf/yEl5q/y7fPbdQNQlUPn77LvHFRK29uee4LjTrVvpUouaFXBod3RxoWcLIwfjoRKyrWNFzXGdcapctEVNx5Obk8snjX+vC9TPTs1j95b/s/LP4PC4dhhh8y6X5/9s77/Aoq+yPf870SQ8hqEhXRBBpClYQsIGKuLqwViwIilhX9Kfo2hEXLOuubVWwYEWxISIKooINUVFQdMWK0iGEkGQmk8z5/fFOymTeSUIqk9zP8/jI3Pe+9z0vkMOdc8/5nqN6cO/7t3H4yP5x7wsUBLl99L1l+urFoRJeuX8ei+OU+We3y6Jr305V2uJw2v84nzjuGPbs3CZm/PCT+7M9zjeB4qJiXpwWq3pp2D0xjrwJeOvxhTE7rx+//IUfbKogk9OToxo9gHWweMfc6wFiWqGVUprJUZFP537BkjnRqYfzHltI+/32qtLelUtWs22DJbU7Zd5kLvnX+YijZgJGGW3Smfz8lVFZFFvX5XDN0Ft49+kPWLXUPuUxHA7z70se44x2FzG+9yTG7HNp3Ll1ZfWn/2PzH1tjxmvSUWjs1DOjytk7H9iBSTOqP4ReuWR12beoisRrlAGW7kw8ktOT6HhAe9trIsLNcybRLvLn7HA6OO68wRx77lGs/DB+BlJlyWCgVqmJhobHaK00IMWhYtb9tJHs9ln4k32s/2UjqZkpccMPoYB9leKoq0fQa1B3Ppm7nIw26Rx91kBSM1MAS4hp/uOLojJQuvTqaKtct9rmqzdA++7t6Hnk/qxaal/d6XA6+M/Ex/lk7hc4HMLQMwdy00t/56mbZ/PrqrUx89OyUrlz/mQC+UF6HLYfcx96J8Zp/b76T6adZ+WE9z36QO6Ye11Uj8u3Zy5m7iPlYlCbft/CbaPu4dnfHq53Od/k9KRdGq9IamYK0969iXU/baAoEKJTHGdamYw4KZJVHTIOu+DoqBZuFcnPLWDWLbMZP32M7fV9+3Rm5ur7WfvDOlJbpZDZJp2X750b1XGpMgcd26vs14tf+Ign//E8637ayAFHdOPS/4y11aD/5sPvmHXbS6xbs4FeR/Xggilnkm2Tr26oX4wjbyA+em0Z9094lJyNufiSvPhT/eRs3I7b47IVJNqzcxvblmKldOu/L9367xszvk/vTkx9+0aenTKHDb9sos+Qnpx/x+m2qX3xnMyqJasZe+eZuL1u3p/9MS9Xqtrco2M2SyMaKiVYfTv9qT4e++ZeSopLeHbKHBY8sZht63PocXg3Jtx7Xlk2DcDWdVX3d/xq0UreemwRp1w2vGzskzc+j5mXszGX7z9bU+/t7jof2JHegw/g6/fLw1FOl5OTqslpr0jljJHq6NqvS8wzfUleRkyI/8yBpx5CenYauZvtwyFLX10W48i/XLSS5yJ/N/oO7cnJE4fx54/r6dSzPX9Uaq9XkXbd2nLG5FPZuT2fl+6Zy3N3zinTsvn2ox+YPHwKs35+EK+/POz367drue6428s2FQtnfcgPy9bw2Kp7y6pxDQ2DceQNQM7G7Uw541+EglYOb6AgWHaYGCoqZtn8rzjyL4ewcsl35G7Jo8fh3fj7oxfV+i9778EH0Htw9aqJg0YdyhsPL+C7j6MPsZbN/4rP317BdbMu46LpY9indydef2B+mSb4S3fHxkrff+EjJt5/AU6XkzE3j2aMTbVmKXvVwMl9s+S7KEee1tq+unJXin12hVtfvYZZt73M8gUraN0ui79dO7Jecsyr4vpnLufVf7/FyiWr2aNTNqMnjYxpAFGZzD3S4zryygVda776hRtOmFJW4PP2E4vLWgqKCAcdF7/vpi/Jy+zpr/PGg2+zc3tsd56cjbksX/A1R5wyoGzs7RnR3wzBOoT9atEqDq7iWYa6Yxx5A7Bs/ldlTjwe+TsKeHH9YxQVFjWa3rLb42b6opv54MWPefjvT0Z1hVFVnrplNkPPHMgxZw/imLMHlY2/9p+3Yqr93L6ahzd8ydVXLrbrGh2nP+XS4Sx+/qOo38dDTuy36+X3NSQ5PZmL7zkX7jm3QdavSO6WHdx9wUN8Nu9LHC4HmXukEywMsvTVz2i/f9uoXW5lTp5wPP+e+LjttdOuPCnq87xH341bpamqLF+wgv0H7Mv3y9bEXF/z1S+s+arqFMTKh6uBfPtMqWBB/AwqQ/1gDjsbgNL4dVWkZCThdDobxImXFJfw8euf89p/5vN7JV1oj9fNsWOOIhBpl1aRDb9sihkTEU4Yd0zM+EkX1TzssP+AfatUAmy9dytGXjo8aqxrvy7c8/6tDBp1GD0O248xt4zmxjo2KthduG/8I3z65heWmmOohC1/bOOnFb/x7B1zuPPM+MVFACMmHM/lD42jU88OpGWl0mqvDHoO7M6NL1zF0WcNjJpbOaXUjoOO7c2UeddzxCkDSMmo/kyglOx2WRx8fPQue/DpsQ1JUlul0K9CrN3QMJgdeQMw4IS+tO/WlrVxYpAOh8Q4rvoif0cB1wy9JUrYavz0MYy6ekTUvI4HtI/ZcfUZYh+eGffPs0lOS+LdWR/gcDoYPvZoRl9zctn1P9esZ8ETiynYUcigUYfRa1B0k+h2+7Xl9OtOiWqS0PnADuw/YF/26rInwy8cSkZ2OpXpfkjXOneZ2d0IFAT55I34mSkfv/4563/ZyF6d7Yt4AEZcfFy1mjQAg0cfzsJZH1Y5Z49O2QwY3o8Bw/txTpdLbMMolRGBq2dMiDl07nhAezLapLN9U7nW+7ALhsbNrDLUH3Uu0ReRy4CJWOdg81T12uruaU4l+vm5+Tx01ZN8OPsTfCk+Rk4cxlk3nsaGXzYyrtekqK+VInDAEftz9j/+ykHHNkzM8PmprzLzhueixtweF8/+/giZEcGmx697JiZHOKttJtMW3rzLoYvvl/3INUNvjdr9Tbz/gqh4dyk/f/MbK5espn23tvQ9+sAW2YNx6/ptjNn3Moqq0FF/aPk/6dqv+uKrmvDSPXN5/s455OXk4/F78PsLGDl2C532L2TDH3ty0lVP4k+xOvE8ePlMXntgfo3WPf+OMzhz8qlRY3byxv4UH8//8V+S02q+2zfEp0FavYnIEGAk0FtVgyISW3XQzLl77MNl+caBgiBP3fwi/hQfWW0zY2KDqtBnSM8Gc+JgOdbKhIqK+WnFrxx8XG9yNuUy5743Y+b0H9anVvHnZ25/OeYr/NO3vMgJ44+J0Tbv0qsjXXrFb2/WnNm0dgvTz3uAFYu/jVu4A1b20j59OtXbc0ddPYJTLhtGfm4BHm+I4o0jSEktzZnfAYEL0eSXEXFx3h2n88eP61i+4Otq13XZNLSwq4Mo3Blg7fd/sv+ArjHXDPVHXWPkE4C7VDUIoKqxQdZmzM7t+Xz82rKY8QVPLo6fK17NIWhd6dyzQ8yYw+koK4nf+Osm2wOwdVX0mqyKP/63PmYsLyc/bmZFS+XOM/9VVm1bKiqWlpVKaqsUHJHiqvbd2nLzy5NwOOr36MrtcZORnY7ftbCCE49Q/B0EreYcyWlJTJ1/I0+veYDTr/tLTDu/UnzJXoaccWTMeBebHqRev4e9u1ZdcGaoO3WNke8HDBSRKUAAmKSqsQnAgIiMB8YDdOgQ62yaG4eOOIikVH9UY1qHQ2wPhOqTkZcN573nl7L+53LH/NerTiprZNupZwdSMpJjCnRqm5vd84j9+fPHaGe+V5c9bPs4tlS2rNtmKxKW3T6LR76czo5teeRt28ne+zasw9OSOHnjJbF/fmPvPJNRV49gzYpfKS4KMee+N/nh85/o0qsjY6eeZVvkM/rakXz02rKoKtlzbh4d9/Bfi39HC18BzUN8wxBPfEkDQ9VU68hFZCFglwh8Q+T+VsChQH9gtoh0UZvAu6o+CjwKVoy8LkbvLqRkJHP4KQNiSrmPP28IqZkp3PHm9Txw2Qx+/uY39uiYzdipZ9lWw9UnmW3SefjLabz37BI2/b6Ffsf2ou/Q8gIkX5KXKx4ex7TzHiz7dtCt/z4xh6E15bzb/8a3H39ftjP3p/i48r8Xtcj4dzw8XjcOpyNG3rc0LTOtVWrcrkTxUA1D8AM0tBJxdwfvUESqqUMoiZUhAMBrv7lIy0qlX6R4bcDwftXalN0ui8dW3sN7zy1l6/ocDj3poLghFQ2tRLedA2odrmrBLEi9AUlu+PTP5kidDjtF5G3gn6q6OPL5J+BQVY2vwkTLOOys6MgK8wP4kry7lXPL2ZTLl+9+Q+aeGfQd2rNOtpUUl7D8na8p2FFI/2F9bLvTtHSmnn0/7z0XLYh1/bNXMNQmRFEdqopuvwSCFRpKewYimY/GdebhnY/DzmmxF1KuwZEybpdtqCvhnAnR9gNIGtLmI0SqrztoqTRIYwkRuRhoq6o3ich+wCKgg92OvCLNyZEbDDUhWBhk1q0vseSVz0hOT+Ivl5/AseccVau1NLgUzbkgZlwyHkR8x9reE954CGisropkzUHcNVOijLIhvB1Cq8DZEXHVTF8myp7Nw6Dk51h7st9HnG13eb2WQoNkrQAzgZkisgooAs6tzokbDC0Rr9/LhXedzYV3nV33xUL2ioUaWh3XkaM77Ye1iF39LqYFs9EdtwNBQFD/35C0W6O+1WnxGgj9AO6eiMsmU8nTDworOXJnO3DYyzmoFkFwMZRsBu8gxGWds2nJehA/4ojftLolUCdHrqpFQD38zayeX79dy5uPWCp6R5wywLaDusHQInDbF26Ju2f8e1z7QXFljXo3Uvwj4Z33gyQjSWch3qpDPVqyAd1xC1CalaVQ+IIVZ/cdD0A49yZrrHSGIxtJvQbxn1Jua8oVaNEXUBIpSpMkJO02RGIzdjS8Dd12NhRHpATyHGjKFRBcCKGVgAv1jUDSb0fEE3N/SyAhKjtXf/Yjk4bcXNZIdtGzSzhz8qmcf8cZTWyZwdAEeA4H33AIVCje8Q4F7+C4t0j6nei200FLs6gc4BmI7ripbI4G34OMB+Lv6gGKPqPciZejwY8Q3/FocGmUEwcgvBnNvRZwIn7rUF2ce0DreRBcYn1b8A5CHLHVvQCaP7PciVsLws77rf+DZU/gVXC1h5RL49vejEkIrZUX//lqTDfwOfe9Sf6O6suJDYbmhogg6f9CMp9AUiYhmTOQjIdtd7Nl97i7I9lLkLQpSNot0HohhCr3glU0f0bVD3fap0hKZFyLYusqylYviG6fJ+JCfEMQ/4i4ThyA0Dc2g7ENLjSwIP4azZyE2JHbtSILFhaRszHXlP4aWiQiYoUz4qQO2t7jSIOkUdaHkq2o2jSZDsdJUSxdwzMAdQ+AUAWH7WgDfkvGWJydiHtIprEdkWqEqysUfVr9PGkYieNEICF25BXzoEvZs1M2bfeJLyxkMBjiI84scNuoEnqHVH9vq8eQ1P8D79GQfCGS9bK1HoD/BHB1s7/Pd0LtbE2+EByVftZdsecEkmzfHaklkBA78jNvOJVvP/6e1Z9aOiKpmclMmjmx3kuZDYaWhKRPQ3MmQklEI8VzGJJyefX3iR+SxyLJY22u+ayDyNx/gJbu7t3WN4Fk+3x11UIoWg6OTNsDW3HuBa3nQuEbaHgTeAaBuxdSMNMKp0gqknwOEjlsbYnUWf2wNtQ2j3z1Zz+St20nvY7qgc+ms7zBYLDQ0A8Q/AAcrcE3DHHYhyDDhe9C7vXADiyHOwZH2v/V/rnFf6BbhmFlI5eShLR5D3HEyjZo8GN0+xWgEelb9wAk8xHEEVvWrxpC86ZB4UugIfCdgKTdbDu3udJQeeSNSvdDjIKawVAR1TBQHJV2p/lPo3l3lE/KfwBavYA4o8VJNZwLOyYBpbHyEBTMQD19EV/NG4dEEZhHtBMHKIDAO5B0eiXbi9Hc/yt34gChZWj+Y0jqVTFL687/QMFTFZ71OkoYybindrY2I0xswmBIUHTnI+imQ9GNBxLeNhYtWYeG89Cd90ZPLPkDzbdpD1f0aYV0xArrBhc3kMWVKP4Zwjaqm0Uf288vfCN2LPC2VSzUwjGO3GBIQLTwFcth63ZAoWgJmnOp5RzVJi03VF4MpKHvCefdiwbft1/cJgRSY3wnApXCnpIClXb4WrIFDczH1gXFK9G31ZExLgzM74LBkJCo3e60eBWKgNj0gXX3iNw3D916CuQ/AoVzoHKBvqQg/tNj768h4mqHZD4Grp6AG9z9kMyZUfFxLf4N3XIi5D9IbD64D6lwKKolG4m0O0D8o2If6B/ZYqs5K5JQMXKDwVCK/Y+uONIh5e9o3pTyQcfeSPKFlmpi3t1EO08FR1ur0MfVEUm+sFYiWFE2eA9FvK/Eva75/7UR8HKA/zQk+XzEtS9a9AWaO9kq4ZdUSL4YkscjKFrwAlAEvhFI6tV1srW5YBy5wZCASNJotKhSY2XPIZZAletc8AyA4PvgyAbfcMSRjIbzIfynzWoBHFnPN4bZFlHl9qWELa0X176oBtCcCZGwEaB56M7piHs/JGUCkjKhTo/X4Cdo/qNWQw3vkUjKZVVXliYAxpEbDAmI+I6DtKnWIWZ4K/iGWkU6pdfd3cEd3fVJHMmoaz8o/l/0Yu6+jWEyABp4F0L/i70gGeCKNJwOflLuxKPunY94ayf9W7ZG0ddozljK9GIKfkZD3yKN+Q9ZA2AcucGQoEjSaUjSabt2T9pNaM5F0eXy4c1o6AfEbV+RWRM0vB0CC60PvmNtd7hasgHdfiVQuW+tE0n7ByI+66MjTmMSSUaLfwPNA1ePKrVl4tpZ+Dwxol+hL9DQd0jkHCERMYedBkMLQjwDIOMBog45Q9+gOWPLDhV3FS36Gt18NLpjsvXf5qFo0dexE4PvEevEAf/ZZaqIALj725T5u6HoO3TLsejWU9GNvQnvuAvVXWxmHrbXZY+n154oGEduMLQ0gu9BZWmr8CYILrWdDqBFnxPecirhDd0IbxmJBstzvTVvqrVLLh9A8+6KXUTsKzDFVamZRHARFFdoCO3YE7zHQ/EXFSdBwUyroGgXEN+w2EFHm0YNLzUExpEbDC0O+55AWvBSpFK00njJZjRnHBSvAhSKV6M5F6El66wJdjKzNmPqHRirUChp4Du5fE44D82dhCUZECG8AUJxJD0Cb5bbUQPEfxIkXwISkSxw7oNkPoyIu8Zr7I4YR24wtDCsTj02xTVF70ElzXAAAgtsioyCEHjL+qXLRjqj0phqGHIuAa3goCUZMmcgzuwKNnxuX9Bk08yijPCW+NdscKReiWR/jGR/gCN7fq16lu5uGEduMLQwxN0TUq+zvWbbnEHidfW0xiX1GqDijtYTGatA8AMIfRE9pvlI8Q/RY87W9o9yH4TtNwnHHuDa9UNKcSSVNcNoDhhHbjC0QOKKYtlljHiHWbvnqAX8kXJ8EO+RSOu3kJQrkJQrrV9XbnhRstb2cVryW/Sy7l7gOazSs1KsfxjSHwB8FS74If1uREzynXHkBkMLRJx7WY0hKo8nnWUzNwvJnAnufoAH3L2RzMcRZ/khpbg6IikTkZRLyjrcR+EZYG+HJ7aJumQ8jKRcZTl0/ygka7a1ZuANIFBhZmF8ga04aNEXaP4z9lk1CYz5p8xgaKFI+j1ozvkQ+ioy4oPwNvu5nr5I1gu212r0LPf+aPJEyH+YMokA/+mId2DsXEcSpExAKK/gVC2E4MLYhQNzwUbytjKqah2iBuaWj/lPw5E+dZffZXfEOHKDoaUS+qqCEwcIWPomnkOjdtv1hSP1CtR/qpX94uoKjmw0vB1xZACWQBaFs9GSTYh3EOI7tuLdWAe0JZVWrVowSwML0MA7VnpkZbXHwjmo/y9Wbn2CYxy5wdBCsZexLbbyyZP+2iDPFFd71JFp5X8HFwGKeodAymWw7YIyMS0tfBFNOg9H2mTrPvGivuMg8Gb0eknxlRrDefdHFBaroGhF3LBPImFi5AZDC0UccTJEKqYDNgCadycE38UKsahVoLT9qlhFxIJZ1i4dS3+9LN0RADekXA5J59o/I7wTCmZWb4xd6mQCYhy5wdBS8Z8GjqzoMVd38BzZsM8NzI8dq5S9EhmEkrVouADdMYVo+d0QhPOReKmR4W223Y+i8BwOdRTh2l0woRWDoYUiztbQajaaPwNKfgJ3XyR5LGLbiac+H5wSLdoFWF2FArHzXN2h5OdoCYBSQiviP8PZDpztY9MePQPB1dXKpfcdXyvhrd2ROjlyEekDPIKV3FkMXKKqy+rDMIPB0PCIqz2SfkvjPjPpbHRnpYbJ3mEQ/h1CX0YG3EjarZb0Lu2xHH0lUa8qwiIiDki/K6JrXlpNKuDcG0m9ttk48FLq+jbTgFtVtQ9wU+SzwWAwoFpkZY3kP4MW/15+IXl8RF+lQlgk+Bo4OyKtnkHS70WyPyxTRBRHOpJySfTijtZRLeHsEE9/q/Kz3CIofAEKnqnbi+2G1DW0okCpCk46UHP1GoPB0GzR8DZ061lWyAYgzwFptyFJo61S/cBcYhQYA6+C/xRL2KoSkjIBPAejwfet/p/+v0T1AbW1ofhnKPkxdjwwH0keU9tX2y2pqyO/ElggIndj7e4Pr7tJBoMh0dH8x8udOABhS+7WdwJa+CYxTryU0ArwHmZ7STz9rV12TZEkrF1/pWdVlhtoBlTryEVkIWBXHXADcDRwlarOEZHRwAzgmDjrjAfGA3ToYFPCazAYmg9FNtK2mg/FP0FV2iiuferNBHHuiXqPiaQ6Vhi3kSFIdEQ1zr+MNblZJBfIUFUVKw8oV1XTqrvv4IMP1uXL4+gLGwyGhCe841YbSVwv0mYJlKxDt/6VGGlaV38k66l6FcFSLUR3PmC1oXO0QpLPjy8YlgCIyBeqenDl8boedq4DShMxhwKxASmDwdDikORxVuedimMplyCODMTdA8l8CFw9LRVFZwdIuRbJeqLelQxF/DhSr8GRvQBH1vP16sS1+Ge08A009H29rVlb6vq7Ng64X6zf/QCR0InBYGjZiLMttH4TCt9Aw5sR72DEc1D5de9gxDu46QysI+G86ZD/WNln9f8VSZsSv0CpgamTI1fVpcBB1U40GAwtAtViKHgeDb5nhTKSxuDw9G5qs+oVDa2KcuIAFL4MvuFgo+bYGJjKToPBUG/ojpssp1b6OfA2tHoG8SR2c+MoiuzP97Roma0sb2PQvMqbDAZDk6Elm6FqWXd5AAAGrElEQVTwlUqjITT/iSaxp8FwdrQdFlfnRjakHOPIDQZD/RDeSrSwVen4pkY3pUHxHgXuSvnsrv3Bd0LT2IMJrRgMhvrC1RUcbSEcXeCdyIeadog4oNVMKHwVDa1EXN3AfxoivupvbiCMIzcYDPWCiBMy7kO3Xw5hS0cc7/GQfEHTGlYFGs4HDSDOrOonV0DEC0mnI8RvbNGYGEduMBjqDfH0hezFEPrWylpxtW9qk2xRLUbz7oCCl4Ei1N0PSZ++29pbHSZGbjAY6hfdAaHP0YKn0eCHtVsiuJTw9isI50xA7RpRxLuv4EXCmwYT3tCdcM44tHit/cSCJ6HgOaDI+hz6Es2tvonz7orZkRsMhnpDS9ajW0eVHXBqwVNo8oU4Uq+t+RqF86KcqgYXQeo6JHls1fcFFqM7/lE+EPwALbkIsubFFOpo4VvEEPoGLfkTce5dY1t3F8yO3GAw1Bua/0Rslkr+k2W9N2u2xn9jx3Y+iqpNRkzFOYHXYgeL10DIRsDLYaeA6LAkAxIQ48gNBkP9UfyT3WCcnpxxsEtX1BzKwiBxiVMeb1M2L0lnx87znVCtxvnuinHkBoOh3hBPP5tBv5VnXVM8NtWRnkOqTe8T/2mxg65u4Dowdq7veCT9PnD3AWdnSL4YSZ9acxt3M0yM3GAw1B9J50JgERSvigw4kdTJiKNadesyJPU6tOSX8pCIszOSdnvc+apqHbB6jkTS70J3PgIl68E7EEm7Ma6QlfhPRPwn1tiu3RnjyA0GQ70hjhTIehmKlkLJRvAeYSkh7soaziwk62U0tBoIgevAuM5YAwvQHXdB+E9wdkDSbsSR/U49vEliYRy5wWCoV0Qc4B1U93Xc3au8rsW/otuvoqxBRcnvaM6lkL0Qcdo1NWu+mBi5wWBITALziekyRBEEWt6O3Dhyg8GQmMQ7/GxCzZOmwjhyg8GQmPhOAkmNHpNM8A1rGnuaEOPIDQZDQiLObKTV0+AZZPUH9Q5FWs3apQyZ5oI57DQYDAmLuA9AWj3e1GY0OWZHbjAYDAmOceQGg8GQ4BhHbjAYDAmOceQGg8GQ4BhHbjAYDAmOceQGg8GQ4IiqNv5DRTYDuyBQbEtrYEs9mJNItMR3BvPeLYmW+M5Q8/fuqKrZlQebxJHXByKyXFUPbmo7GpOW+M5g3rup7WhMWuI7Q93f24RWDAaDIcExjtxgMBgSnER25I82tQFNQEt8ZzDv3ZJoie8MdXzvhI2RGwwGg8EikXfkBoPBYMA4coPBYEh4EtqRi0gfEflURFaIyHIRGdDUNjUGInKZiHwvIt+KyLSmtqcxEZGrRURFpHVT29LQiMj0yJ/zNyLyqohkNLVNDYmIDBORH0RkjYhc19T2NDQi0l5EFovId5Gf5Stqu1ZCO3JgGnCrqvYBbop8btaIyBBgJNBbVQ8A7m5ikxoNEWkPHAf83tS2NBLvAj1VtRfwP+D6JranwRARJ/AgMBzoAZwhIj2a1qoGpxi4WlV7AIcCE2v7zonuyBUobQeSDqxrQlsaiwnAXaoaBFDVTU1sT2NyH3At1p97s0dV31HV0u7CnwLtmtKeBmYAsEZVf1bVIuAFrA1Ls0VV16vql5Ff5wGrgb1rs1aiO/IrgekishZrZ9psdywV2A8YKCKficgHItK/qQ1qDERkJPCnqn7d1LY0ERcA85vaiAZkb2Bthc9/UEunloiISCegL/BZbe7f7Vu9ichCYE+bSzcARwNXqeocERkNzACOaUz7GoJq3tkFtML6KtYfmC0iXbQZ5JFW896TscIqzYqq3llVX4/MuQHra/izjWmboXEQkRRgDnClqu6o1RqJ/PMvIrlAhqqqiAiQq6rNuvOqiLwN/FNVF0c+/wQcqqqbm9ayhkNEDgQWAQWRoXZYYbQBqrqhyQxrBETkPOAi4GhVLahmesIiIocBt6jq8ZHP1wOo6tQmNayBERE38CawQFXvre06iR5aWQccFfn1UODHJrSlsXgNGAIgIvsBHpq5WpyqrlTVNqraSVU7YX3t7tcCnPgwrDOBk5uzE4/wOdBVRDqLiAc4HXijiW1qUCKbzxnA6ro4cUiA0Eo1jAPuFxEXEADGN7E9jcFMYKaIrAKKgHObQ1jFYMsDgBd41/qZ51NVvbhpTWoYVLVYRC4FFgBOYKaqftvEZjU0RwDnACtFZEVkbLKqvrWrCyV0aMVgMBgMiR9aMRgMhhaPceQGg8GQ4BhHbjAYDAmOceQGg8GQ4BhHbjAYDAmOceQGg8GQ4BhHbjAYDAnO/wNODwa4Z3e51wAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"K-means error pct BEFORE hungarian alg.: 71.33333333333334\n", | |
"K-means error pct AFTER hungarian alg.: 14.333333333333334\n", | |
"Hierarchy error pct BEFORE hungarian alg.: 22.333333333333332\n", | |
"Hierarchy error pct AFTER hungarian alg.: 22.333333333333332\n" | |
] | |
} | |
] | |
} | |
] | |
} |
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