Вы не можете выбрать более 25 тем
Темы должны начинаться с буквы или цифры, могут содержать дефисы(-) и должны содержать не более 35 символов.
506 строки
251 KiB
Plaintext
506 строки
251 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"from sklearn import datasets\n",
|
|
"from sklearn.metrics.pairwise import euclidean_distances\n",
|
|
"from sklearn.metrics import silhouette_score\n",
|
|
"\n",
|
|
"#X,y = datasets.make_moons(n_samples=100, random_state = 42, noise = 0.1 )\n",
|
|
"X,y = datasets.make_blobs(n_samples=100, centers = 6, random_state =45 )\n",
|
|
"\n",
|
|
"plt.scatter (X[:,0], X[:,1])\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 1500x1000 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import pandas as pd\n",
|
|
" \n",
|
|
"\n",
|
|
"# Реализация иерархической кластеризации при помощи функции linkage\n",
|
|
"\n",
|
|
"mergings = linkage(X, method='single')\n",
|
|
" \n",
|
|
"# Строим дендрограмму, указав параметры удобные для отображения\n",
|
|
"\n",
|
|
"plt.figure(figsize=(15, 10))\n",
|
|
"dendrogram(mergings)\n",
|
|
"plt.show()\n",
|
|
" \n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
|
|
" 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
|
|
" 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"T = fcluster(mergings, 10, 'distance') # distance or maxclust\n",
|
|
"print (T)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(5, 5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=T)\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def update_cluster_centers(X, c):\n",
|
|
" ix = np.where(c==1)\n",
|
|
" mu[0,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==2)\n",
|
|
" mu[1,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==3)\n",
|
|
" mu[2,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" ix = np.where(c==4)\n",
|
|
" mu[3,:] = np.mean(X[ix,:], axis=1)\n",
|
|
" return mu"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[[-0.95992388 -1.54203033]\n",
|
|
" [ nan nan]\n",
|
|
" [ nan nan]\n",
|
|
" [ nan nan]]\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\numpy\\core\\fromnumeric.py:3432: RuntimeWarning: Mean of empty slice.\n",
|
|
" return _methods._mean(a, axis=axis, dtype=dtype,\n",
|
|
"C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\numpy\\core\\_methods.py:182: RuntimeWarning: invalid value encountered in divide\n",
|
|
" ret = um.true_divide(\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"mu = np.array([[0.0,0], [0,0], [0,0], [0,0]])\n",
|
|
"mu = update_cluster_centers(X, T)\n",
|
|
"print(mu)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAGsCAYAAACik8J5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABncklEQVR4nO3dd1wT9xsH8M/dBcJGZAmCuPdeuMW9d9W6d9VqreOn1bonVuuu2zpqa6tWq3XUvffEjRMFZSmyRyB39/sjkkpJQoCQ+bxfr7wql2/unlDgyX3H82VEURRBCCGEWAjW0AEQQggh+kSJjxBCiEWhxEcIIcSiUOIjhBBiUSjxEUIIsSiU+AghhFgUSnyEEEIsisTQAeSXIAgIDw+Ho6MjGIYxdDiEEEIMQBRFJCYmwtvbGyyr+Z7O5BNfeHg4fH19DR0GIYQQIxAWFgYfHx+NbUw+8Tk6OgJQvFknJycDR0MIIcQQEhIS4Ovrq8wJmph84svs3nRycqLERwghFk6bIS+a3EIIIcSiUOIjhBBiUSjxEUIIsSiU+AghhFgUSnyEEEIsCiU+QgghFoUSHyGEEItCiY8QQohFocRHCCHEolDiI4QQPUpPS0dibBIEQTB0KBbL5EuWEUKIKXh89Sl+W7QfN/+5C1EQ4ezmiE6j26DX5M6wdbA1dHgWhRFFUTR0EPmRkJAAZ2dnxMfHU61OQohRunzgBub1XAYAEPh/7/RYjkXJqn5Ydm4u7Bwp+eVHbnIBdXUSQkgBSklMxeIBqyEIQpakByiS4Kv7b7Br4T4DRWeZqKuTEEJ0LCIkCjf/CUKGLAMf3sUgLUUGqOlbE3gBhzeexKB5vWFlbaXfQC0UJT5CCNGR1KRULBu+Aef3XgEDxRY5gpDzaFJyfApio+Lh4etW8EESSnyEEKILoihidreluHfuESAqbvByM4VCamtdcMGRLCjxEUKIDtw79wh3Tz/I9etYlkE5/zJwdqPJefpCk1sIIUQHzuy6BE6S+z+pgiCi3/QeBRARUYfu+AghRAcSPiaC53NelM5JOAAiBEEEy7EY99Nw+LevWfABEiVKfIQQogNF/NzBcSx4ufrk5+BijxZ9GyM1OQ3Fyvug9eAAuHg45/paoiji8oEbOLDmHzy//QoSaw4NutRF92/bo0QVv/y8DYtAC9gJIUQHQh6G4quqk9Q+z3Is+n7fHYPm9s7XdURRxKqvN+PIxpNgOVa5NlDRzcpg1t5JaNClTr6uYYpoATshhOhZicrF0P3bDiqfY1gG3qU80WNCx3xf5+zvl3Bk40kAWavA8HIBPM9jwZcrEPc+Pt/XMWeU+AghREdGLR+EXpM7fxrH+xfLMqjfuQ7snPJflmzfyiNgWUb1kyIgz5Dj+LZz+b6OOaPERwghOhL5OhpHt5zOtn6PlwvY++PfWDd+W77OLwgCnt95pXFRvCiKeHL9Wb6uY+4o8RFCiI78tmAfUhNTs9XkzHTwp2N4+zwiz+dnGEb93d5nbf57x0myosRHCCE6kC7LwJldFzXO6mQ5Fqd2ns/zNRiGQc1W1cBy6v90i4KIWq2q5fkaloASHwEAJCekIDT4HT5Gxho6FEJMUnJ8CjJkco1tGIZBTHj+fsd6Tuqk9o6S5Vg4uzuhWZ+G+bqGuTOqxLd48WIwDIPx48cbOhSLER32AT8MWoMv3IdiWMXx6O39FSY2nYV75x8ZOjRCTIq9sx0k1pqXRosQ4erlkq/r1GheBWPXDAMYgM2sFMMokqpDIXssPj4DtvY2+bqGuTOaBew3b97Exo0bUbVqVUOHYjGiQ99jrP80JMQkZumeeXQ5GFNazsPsP/9nkeuBCBFFEQ8vBePBxSdgGAbVmlVCBf8yYJjs42u8nEdKYirsHG3Rom8jnPr1gtruTkEuoOWAJvmOr8uYtqjVqioObziBp7dewtrGCvU61kargU3hUMg+3+c3d0aR+JKSktCvXz9s3rwZCxYsMHQ4Ris5IQWX/7qBjxGxKOzlgkbd/fO1a/PG//2SLekBitqBDCPix6Hr8Ef4JlhLaY8wYjnCX0Zibo8f8er+G+VYmsALKFu7FGb/OQkexdwBKD44/h74F07+ch6y1HRY21qjYefakNpJkZYsy94dyQCdR7eBT1lvncTpU9Ybo5YP1sm5LI1RVG4ZNGgQChcujBUrViAgIADVq1fHypUrVbaVyWSQyWTKrxMSEuDr62v2lVv2rzqCrd/vgiw1HZxEURZJamuNoYv6ql00q0n8hwT08hqhdqwg04w/JqBprwZ5DZsQk5IYm4QRVSYiLjo+2wdCTsLC3dcNm+79iJjwWHzbcAaS4pMhfNaOk7CQ2knh6eeOkAehyuNSOym+mNgRA+f0Assa1QiT2chN5RaD3/H98ccfuHPnDm7evKlV+8DAQMydO7eAozIuhzacwPoJ25VfZ/5CylLTsX7CdsRExKJ+x1rwq+QLRxcHrc4ZGRKdY9LjJBzePsv71GtCTM3RzafxMTIOoop1crxcQOTraJzaeQFnfr+EpLjkbL9DvFxAWrIMNnZSbAz6EW8ev4XUzho1mleGrYPq3hlRFHFh71XsX3UEz269BMtxqNO2Or6Y1AmVG5YvkPdp6Qya+MLCwvDtt9/i5MmTsLHRbjB22rRpmDhxovLrzDs+c5WRnoFtM37X2GbPkoPYs+QgJNYStBrQBCN/HAh7Z839/PbOdjleWxAEnVSaIMRUnP71gsqkl4kBcGTzKbwMeq22jcALeHL9ORgGaPal5tmVoihizdgtOLT+xL91NzN4XDt8C5cP3sDETaPQbliLPL4boo5B77lv376N6Oho1KxZExKJBBKJBOfPn8fq1ashkUjA83y210ilUjg5OWV5mLOgs4+Q+DFJq7bydDmObz+HSQGzkZqcprFt0TJe8Kvoo3Kw/nONuvtrHSshpi4hVvPvmigCMeEftTpXyMOwHNtc+usGDq0/ASB73U2IwMqRGxEREqXV9Yj2DJr4WrRogQcPHiAoKEj5qF27Nvr164egoCBwHFUf0DbpZRJ4Aa/uhyqL2KrDMAwGz/8yW2mlz59vN7wF3H1cc3V9QkyZTxkvjZVRGIZBXHSCVueS2lrn2ObAmqMaF6ODYXL8XSa5Z9DE5+joiMqVK2d52Nvbw9XVFZUrVzZkaEajSAmPXL9GhIjDG07k2K5RN39M2DQK1rbWAANIrDjFLyEDtBnSDGNXD81LyISYrI4jW+VYB1MbUltrVG+e89+wZ7deahxrz+w2Jbpl8MktRLMK/mXgU84b755HaBx7yEJULEzXRvvhLdC0Zz2c/eMKIl5FwaGQPQJ6N4BXSc98RE2IaWrcox7qtK2OWyfuaf/79h8MA3T7tgPsnTSPo4uiCCaHuptgQMuJCoDRJb5z584ZOgSjwjAMJmwcie9azYMAQeOn0c85aDm7EwDsne3RcWSrvIZIiNngJBzmHpiCX+f9iYNrjyE5PgWAYjJY5r9z0mZocwyer36z2ed3XuHUrxdwaf91pCZqHotnwMC/Yy3t3wDRilGs48sPS9mB/fHVp9g0ZSceXX6aY1uWY9FzUicMX9xfD5ERYp7S09IRGvxOMQGMAUZVn6yxPcMyaDesBSZsHKny+Zf3XmPpkLUaZ4R+juVY2DvbYefLn3KcpU1MbB0f0U7F+uWw8uICRIRE4cPbGKz9dhtCHoRmGx9gORaOLvboOq69gSIlxDxY21ijdPUSAABZqgy2jjYa79BEQUTt1qp3RXj7LBwTmsyELCVdu4szUNbdpKSne1RCwMR4lfBElcYV8eOZOfBvXxOAojs0c6ygWIWimLXvfzi+7SwW9VuJ5SM24PqR2yqXhhBCtCO1laL98JZqZ2AyLINCHs6o37m2yud3ztsLWUp6jkUjFCcDRi0bjJ2v1qJMzZL5CZuoQV2dJu7t8wjcPnEPfAaPsnVKIfTxW6wes1k5MM+wDHi5gFLV/LDon+koXCR/leEJsVSpSan4X7M5eH43JMvEF07CgpNI8MOJGajcqEK216WlyNC10CDwcu0/fG59shK+5YrqJG5LkZtcQHd8Js6njBe6jGmL7uM7IDUpDStGbgQvV0yCEQRRWd7s9aMwTO8QqPV0bEJIVrYOtlh2fh6GLuwLj2JuABTLFloNDMC62z+oTHoAkBSblKukB2hXWYnkHY3xmZHfF+3/t+zRf/ByAS/uhuDumYeo2aKKAaIjxPTZ2Enx5Xdd8eV3XcHzPFiWzbH6kYOLAyRWHOQZOSc/lmVQsUE56pkpYHTHZyZSElPx4OITjWMInITD1YPaFQMnhGjGcVyOSQ9QJMuALxuCk+T851YEMGiu+qUQRDco8ZmJ9DTtZotp244QojsDZvWEjYONxvJk9oXsMGvvJFRvRlWrCholPjPh5OoIF09njW14nkfJasX1ExAhRMm7VBGsurQA5eqWznLcSmqF6s0qY+rOb7AnfDMadaOi8PpAY3xmgmVZdP66LX6Zu0dlqSWGYWBta4WW/RurPYcoikhJSAEYJsdyS4SQ3PGr6IvVlxfi9aMwhD55C1sHG1RtWhFSW6mhQ7M4lPjMSK/JnXHn1H08vBycbbq1KALf/TJO5WJYQRDwz5bT+HPFYbx9Gg4AKFXNDz3/1wXN+zbSahyDEKKd4pV8UbyS+e4hagqoq9OMWNtYY+iivihTsyQkVootnRiGQe021bHy0gI0VrG3niiKWPHVBqwctQnvnoUrj796EIrFA1bj52m/6S1+QgjRB0p8ZkIURWydvgsTGs/Ey6AQ5dRpURTx/E4IHAqp7rq8eugWjm09+6ntZ+f7dMe4e8lBPL6ac31QQggxFZT4zMSZXZfwe+BfAKBctJ4pLjoe37dfpHIR7d/rjmucacZJWBzSYm8/QggxFTTGZwZEUcSepQfBsIzKiS0CLyAyJBrXDt9Gw651szz36v4bjWv/eLmgdTV5QixRYmwSjv18Buf2XEFyfAqKV/JFx1GtUatVVRofN1KU+MxAYmwSXt1/o7ENZ8Xhzqn72RKfjV3OM8ps7G3yFR8h5io0+B3+12w24t4nKD90RryKwuUDN9B2aDNM2DQKLEsda8aG/o+YAa0qvqtp1+SLehq7OhmGQeMe9fIcGyHmiud5zOwUiPgPiVl6WjJ/z45tPYu/1x03VHhEA0p8ZsDZzQlFSngAGnpV+AweFRuUy3a885i2kNpag2Wzv5jlWDi5OqDt0Ga6DJcQs3DrWBDCX0Zp/OD55/JDEATtPpgS/aHEZwYYhkGP8R3VPs+yDJxcHdG0Z/1sz3n4umHx8RlwcHEAoKjnyUkUSyEKFymEpadnw/HTc4SQf9079wjcp2VD6kS9fo8P7z7qKSKiLUp8ZqLT160R0KsBAGTtumQAMAxK1yiBa4dvQ54hz/baivXLYdO9H9F6UABKVCmGCv5lMGHTSPzy8ieUqOKnp3dAiGnReoevPG4FxvM8kuKSVf7OkvyhyS1mguM4TPvtWzTq5o+Da4/h2e2XkKWkgwEDgRcQdPYh7py6D9/yRbHk5Ey4FXVVvnbvskPYNmMXMtLl4CQcBLmA4BvPERsVj77fd6eZaYSoUKVJBfy5/JDGNu6+rnDzcdXY5r9iImLxx+K/cHzbWaQmpUFiLUHzPo3QZ1o3+JT1zk/I5BO64zMjLMuiaa8G+GJiJ8hSFLswZG48mzkOEf4iAtM7BCrHHQ5tOIFNk39BhkwOiIqxQFEUIc/gsX3mH9i34rBh3gwhRs6/Q014+rmrnxzGAD3Gd8zVrM7o0PcYU+c7/L3uOFKT0gAA8nQ5Tv92AV/X+Q4v7oboInSLR4nPDO1atF/lZBVAsS7v1f03uHv6ATLSM7Bj1h8az7Vz3l7IUmUFESYhJo3jOMw/NBUOhezBfPb7lpkIm/dphG7fts/VOdeM/Rlx0fHZJszwcgGylHQs6rdK+WGW5B11dZqZO6fu4+nNFxrbcBIO14/cAcOyiP+QqLFtSkIq7px6gPqdausyTELMQonKxfDz4xU4uvk0zv5+CckJqSheyQedRrdBvY61cjVMEB32AdeO3FbsRquCwAsIC36HR1eeonLD8jp6B5aJEp+ZEEURGybuwP5VR3JuzAAZsgwkxSZpde6kuOR8RkeI+Srk7oy+33dH3++75+s8bx6/VZv0PhfyIJQSXz5RV6eZOLzxpHZJD4pxvDI1S8K7VBGt2mvbjhCSd9pUUQIAqa11AUdi/ijxmQFBELB7yQGNC9gzMSwDW0dbNOvbCKWqF0epan5qxwMZlkHRsl6oWL+sbgMmhGRT3r80HAtrXjPLSVjUaVdDTxGZL0p8ZiAyJBpRr99r1U3Csgxm7p4AW3sbMAyD8RtHQmJtlW1mGsux4CQcJm0eTcsZCNEDK2sr9JnaTe3zDMug/YiWcPFw1mNU5okSnxnQtlYnAPSe0hV12v77ibF83TJYdXkBajSvnKVd1SYVseLCPFRpXEFncRJCNPtiUif0+l9nAAArYcF9+gAKAE171sfoFYMNGJ35YEQTnxubkJAAZ2dnxMfHw8nJydDhGERGegZ6e3+FxI85T1Zx8XTG72Eblb9MIQ/e4PHVZ2A5FsUr+0JiJYGLp3OWBe6EEP169yICJ7afQ3TYBxRyd0aL/o1RunqJPJ9PniHHpf3XcfaPy0iISYRPGS+0G94CFetnr99rqnKTCyjxmYnts/7Abwv3adXdueLCPHj4uSOw/2o8vPjk3ycYoGGXuvjf1q/hUMi+4IIlxAy9fxuD6NAPcHJ1gE9Zb6MZIoh7H4/vWs3Hq/tvwLIsBEEAJ2HBywV0+Kolxq0bYRZbJ+UmF5j+uyUAgL7Te8BXy3JGMRGxmNB4Jh5ffZr1CRG4eugWprZZQPUBCdFSyMNQTG0zH32LjcL4RjMwtMJ4jK45GTeP3TV0aACABb2X4/WjMABQVmzi5Yr/Htl0CvtWaDcb3JxQ4jMT1lIrjF0zTKu2wTde4v3bGAjy7GODAi/g6c0X2L/qKM7vvYqbx+5S5RZC1Ah58AbfNpiOu2ceZjn+6kEopncIxMV91wwUmcKLuyG4d+6xxnkAe5f9DV7O6zEqw6MF7GakRosq8C7liciQaAhC9j5PlmNRtUlFXP37ZpaNM1XZPGWn8t+2jjboOLI1+s/sATtHO53HTYipWjdhO2Sp6dkSiyiIAAOsHLUJ9TrVgpW1lc6vHfk6Gkc2nsSDi0/AcixqtqyKdsNbwNXLRdnm9sn7YDlWY+KLjYzDm8dvUbKq5ezEQnd8ZoRhGEzePhactUTl8gR7J1uMWzcc8R8ScnXe1MQ07P3xb3QrPBjLR6xHbFScDqMmxDRFvo5G0JmH6pOKCCTEJOLGUd13eZ7fcwWDy47Dnh//xqMrT/Hg4hPsnLsHA0uPxe2T95TteDkPbYYaLe2OjxKfAYUGv8Pqrzejd9Gv0N1tCKa1XYDrR27nqwht5YblsfrKQtRtX0NZOJeTcGj2ZUOsvfkDfMsVhbuvq1aL3f9L4EUc23YWY/2nUfIjJkUQBFw/egezuy3BsIrjMaHJTBzacAKpyWl5PmfU6/c5tmE5FhGvovJ8DVVCHoZiUb9V4OV8lqQrCCIy0jIwq+sSfHgXAwAoX7e0cjxPHRt7KXzKWdZ2R9TVaSDXj97BnG5LIIqi8gfz9qn7uHXiHkrXLIH2w1uied9GsHfKfddi6eolMP/gVCTFJSPxYxKc3Z1g52irfL798JZY++3WPMUtCiI+hH/Etpl/YOKmUXk6ByH6xMt5LOq7Ehf+vKbs9mMYBg8vB+PPZX9j2bm5eVq+k1OVFUAxZq5Nu9w4uOYftXdxoihCni7H4Y0nMXjel6jevDK8SxdRDH+ouDNlORbth7eErb2NTmM0dga/4wsMDESdOnXg6OgIDw8PdO3aFU+fPs35hSYs/kMC5vVcBl7OZ/k0ljnu9uJOCFZ/vRm9vEbg2Lazeb6OQyF7eJX0zJL0AKDt0OYoVa24+n3EciDIBZz69QJSk1LzHBsh+rJr0X5c3HcdwL/FHkRRBEQg6s17zP1iWZ7OW6JKMfiU89bYlWgllaBBlzp5Or8614/e0XgXJ/ACbh4LAqDYo3PO/smwd7LN8vvOMIpH+bqlMXjBlzqNzxQYPPGdP38eY8aMwbVr13Dy5ElkZGSgdevWSE423x0Bjm87iwxZBnLq0UxPTceyYetw5eBNnV7fxk6KZWfnoEX/xsqF7LmVkZaBmPBYncZFiK6lyzLw16ojaocPeLmA4OvPEXzjea7PzTAMhgf20/h73HtKVzi66PaOj9eiUtPnY3YlKhfDpvvL0HNSJxT2coGNvRR+lXwxZvUwLD092+Lu9gAj6Oo8duxYlq+3b98ODw8P3L59G02aNMnWXiaTQSb7d3p9QkLuJmoYg8fXniHHrPcJwzDYPusP1O9cW6cLYu2d7TFl21iMXDoQz++EgOVYHFhzFDdy+DT5Odv/3EkSYmxCH79FYqzmD9EsxyLo7COUr1sm1+dv2LUupu4chzVjtyA5PkWxMJwXIJFw6P1dVwyY3TOvoatVpVF5XD5wQ+3vKSdhs5UadCvqiuGL+2P44v46j8cUGTzx/Vd8fDwAoHDhwiqfDwwMxNy5c/UZks6xHKvoZ9Ai+YmiiJAHoYh4FVUg2wM5uzmhdutqAABXr0K4e/oBBCFd43IHlmVQ3r9MlmnThBgjrSeK5WNCWYt+jdGoe11cOXgLUW/ew8nVEY261YWTq2Oezwko7tpuHgtCZEg0nFwd4N+xFuyd7ND1m/a48Kf69YECL6LT6Db5ura5M6rEJwgCxo8fj4YNG6Jy5coq20ybNg0TJ05Ufp2QkABfX199hagTNVtUzfXC1pSEgh9P86voi+Xn52HZsHV4ee+N6kaf8vXAOb0KPB5C8qtYhaKwc7LV+Psj8AIqN8rfxq5SWymafdkwX+f43JWDN7Fy1EbERsWDYRiIogiprTX6Tu+BPtO6YejCvtg6fZey9BgA5d3m+I0jUax8UZ3FYo6MKvGNGTMGDx8+xKVLl9S2kUqlkEq127DRWLXo1whbp+9CcnwyBD7nT5qchIWHn5seIgPK1CyJ9XeW4vHVp9g46Rc8uf4cDMuA41jI5Txs7KSYsGkUarWqppd4CMkPqa0UnUe3we6lB1X2YrAci+KVfFHJiHY0v3XiHuZ0XwrxU+HdzLtWWWo6ts34HaIgot+MHqhYvyz2rzqCBxceg2FZ1GpdFd2/7ZCnLltLYzRFqseOHYuDBw/iwoULKFFC+yrkplqk+umtl/iu9Twkx6doLCzNSlg0+aIepu+aoPW5ZakyvA+LgdROCnef/O2yEPb0HS78eQ0pCanwKeuFgN4NYOtAY3vEdKTLMjC7yw+4deIeWJZRVjViWAaFixTC8vPzCmQYIS9EUcSoGpMR8iBUbTetlVSCPRFbNBaSFwQBDy8FI+rNezi7OaFGi8oFUj3GmJjU7gyiKOKbb77BX3/9hXPnzqFMmdx9WjHVxAcoqjoc33YWx7aeQWjwO8Wi8s/+b7ASFoXcnLDmeiA8fHO+40uMTcIvs/fgn61nIEtRTAAqVb04BszqiYZd6xbQuyDE+PFyHuf3XMHhjScR/iISDi72qNOuBiRWHGQp6ShSwgMt+jWGs5th/4aEBr/DsIrjNTdigElbvkbbIc1UPn3rxD2sGr0JkSHRymOOhR0wbFFfdPiqlQ6jNS4mlfi+/vpr7Nq1CwcPHkS5cv/uDeXs7Axb25zvLEw58X0u6OxD/DJnDx582iZIYi1Bsy8bYsiCPlrdtSXHJ2Ncg+l4+ywiy0JVhmUgCiLGrR1OA96EQLE33cpRm3B821mwHAuWZcDzAjiOxYgfBqD7+A4Gi+3hpSeY0GSWxjYsx2Lowr7oPaVLtueCzj7Ed63nQxRElXeMY9cMQ5cxbbMdz0jPwMeIOFjbWpvsDu8mlfjUTdHftm0bBg8enOPrzSXxZfoYGYvk+BS4ehfOtvBcky1Tf8XeZYfU1g3kJBx+f7vRZH+oCdGV1WO34PD6E2q7EqfsGItWA5rqOSqFqDfv0b/E1zm2+37XeJWTaUbVnIxX99+onZVt62CD3RGblWv3UhJT8duCfTiy6aRi2AVAuTql0W9GD9TvVDsf70T/TGo/PlEUVT60SXrmqHARF/iWK5qrpMfzPI5sOqWxArsgCDix/ZwOIiTEdMVExOLIxpMalzn8MmePct86ffP0c0e1gEoaqyrZO9uhQZfsSenNk7d4GfRa41Kk1KQ0XP371qd/p2JSwGz8ufyQMukBwPPbLzGryw84tP54Pt6JcTN44iP5lxSbjKS4HBbpsizePgvXU0SEGKerf9/KcUuuyJBohDwI1VNE2Y1aPghWKnZYySwsP2bVUEhts89sj42My/HcLMso2+1Z+jde3Xud7QNz5uSftd9uxcdI86zORInPDEjtpMqdGDSxd6LZmMSypSamavW7kpqYv3Wz79/G4PmdV3lKHKWrl8CKi/NRoV7WiX7eJT0xc89EtBqouhvW1TvnghKCIMLV2wWCIODQhhMq9+38vO3xbedyFbupMKp1fCRvbOykqNuuBm4eC1Lb3cnLeTTpWV/PkRFiXHzKeWscEgAUE8K8S+dtecOjK0/x8/e/4cGFJ59OBtRpWwMjFvdDiSrab/RapmZJrLy4AG+fRygrt5SpWVJj2ULfckVRtlZJPL8bovau1s7JFvU710ZqYiri32su98gyDMKevtM6ZlNCd3xmou/0HsqK6//FcixqtKiCCvXK6j8wQoxI3XY1UNjLRe1dH8uxqN+pNgoXyX05vrtnHmBSwGw8uvzZ7jIicPvEPXxTfzpe3A3J9Tl9ynihdutqKFurlFa1ekctH6yx3cilAyG1lcLKxjrnO1+GgY2ZFrCmxGcmKtYrizn7p8Du0/59EisOrETxv7dW62qYve9/Oi1yTYgp4iQcvtsxFhzHZhtDYyUsnFwdMXrF4FyfVxAELBu2HoIgZB8z4wVkyDKweszm/ISeo+d3X2FRv1Uq72gZlsGwwL5oP6IlAMBaagX/DjU1TqLh5TyafFGvwOI1JOrqNCP1OtbC7vBNuLD3Gl4/CoONnRQNutZBqWrFDR0aIUajZsuqWHFxPnbM3oNbJ4IAUbFutnmfRhg0r7dWxSL+6/75x4h6o35HdoEX8OTac7x58hZ+FXzyEb1qL++9xrj60yFPl6t8XhRFHNl0Cj0ndQbLsbh37hGcXZ0UXaL/KZwBKO58y9ctjWoBlXQeqzGgxGdmpLZStYPfxLy9efIW755FwN7ZDpUaloPEin691SlftwwC/5mOhI+JSI5LQSFP53ztSxf+IlKrdhEvowok8W2YuF1t0gMAiIrZqv/8fBoHfjqGN4/CwEk4RYGLT/WCM/fm5OU8Kjcqb9a9RPSbQYiJe3X/DVaO3oQnV58pjzm7O2HArJ7o/HUbs/3jpQtOhR3hVDh/2wcBgL2Gupmfcyhkl+9r/Vd02AcEnX2UYzuWY7Fx8i9IT8sAkHWzWoZhwElYtB/REs37Nkb5uqXN+ueGEh8hJuzNk7cY33gGZCnpWY7Hv0/AT9/8jJSEVPSZ1s1A0VmOuu2qQ2onVdbIVcXV2wUV6ut+gtn7sBit2omCgLQk1fGJogh5uhzObk6o4G/+uzvQ5BZCTNi2Gb9DlpKudor+jtm7Ef9B87R1kn+2Drbo+313jW0Gz/sSHMfp/NrObtrdseZUnFIQRJzZdVEHERk/SnyEmKjE2CRcOXgzx1J1Z3ap39+S6E6fad3Qf+YXirEzhgFnxQEMYG1jha9XDkHboc0L5Lo+Zb1RukYJZWUXdVgtFu4nJ6Tk2MYcUFcnISYqNio+x/JbHMfiw1vtusJI/jAMg0Fze6PL2La4sPcaYqPi4O7rhqY968HeWbsxQG3wch4nfzmPg2uP4c3jMEhtpahYv6zGfT0l1hJUalAODy49gSBX/UGJ5Vj4WsjO7ZT4CPkkOT4ZR7ecwckd5xD3IQGefu7o8FUrtOjXyCg38XR2c1Q5Ff1zAi/ApUghfYVEABRyd0bnrwtmCzBezmNujx9x9dAt5ZZjGTI5bp+8B86Kg429FMlxWe/aKjUsj6k7v0H4i0h813q+2nMLvIBOI1sXSNzGhhIfIVDUVpzQZCaiQz8o76LiouMRfP05jm09jcBjM/I13b0gOLs5oU7bGrh94p767k6GQYCK7WuIadq/6iiuHb4NAFnu9nm5oEyEM/dMxMeIODgWdkC9TrVg/6mohaefO1oPDlC5SwvDMKjfuTYa9fDXy/swNBrjIwTAwj4r8eFtTJY/Jpn/fnLtOTZP+dVQoWk0ZP6X4CSs2vGbnpM6wc27sJ6jIgVBFEUcWHNU7ZZKoiAiJSEVSXEp6PpNO7To11iZ9ABFcpu0ZTRGLRsEt6L//kwU8nDGoHm9MXPPxAKZfGOMDL4RbX6Z20a0RP9e3nuNUTUma2xjZWOFvRGbdTpWoysPLwdj2bB1ePssQnlMaidF7yld0G9GD7Asfb41BwkxiejhPlRjG07Coe2QZhi/caTGdjzPIzIkGqIgwqukp3LxuinLTS6grk5i8R5dfgqG0TzdOyMtAy/uvjbKEk6VG5bH1ier8OhyMN4+i4Cdky3qtK0OWwfahsqccBLtPsBwVjknMY7jULS0V35DMlmU+IjF07pAhREXsmAYBpUbVUDlRhUMHQopIPbO9ihbuxRe3Hmldh89Xs6jTtsaeo7M9FAfCLF41ZpVznFxr429FGVrldRPQISo8eXUbmqTHith4VPWC3XaVQcAZKRnIORhKF4/CoM8Q0MdTwtEiY9YvGLli6JW62pqt2hhWAadRrWmrkNicI27+2PYor4AoNx2LHNfPXcfVyz6ZzpEQcQvc/agt/dX+KrqJIyoMhFf+ozErkX7wfO82nNbEprcQgiAuPfxmNxiLl4/DFNOC2c5FgIvoG77Gpi9bzKspca3lo9YptDgdzi66SRePQiFjb0UjbvXQ9Ne9cFZcZjTbSmuH7mTbfYnwwBNezXA97vGm2UB6tzkAkp8hHySnpaOs39cxslfziMuOh5eJT3RbngL+HeoaTHTvIlufHgXg0t/3UBqYhp8ynqhXqdaeimCcH7vVSzovVxjmwWHp8G/fc0Cj0XfaFYnIXlgbWONNoOboc3gZoYOhZgoeYYca7/diiObTgFQ1Mfk5QKcXB0xedsY1OtYq0Cvf3jjCWVPhSosy+DwxhNmmfhygxIfIYToyKrRm3F821llNyP/aSJK4sdEzO62BEtPz0bVJhVVvvbF3RCc230ZSbHJKFrGCy0HNoWLh3Ourv/2aXgORctFvLgbkqtzmiNKfIQQogPhLyNxbNsZlbVTRVGxGuaXOXvw45k5WZ5LS5FhUd9VuPr3TcVaPYaBwAv4+fvfMPLHQeg2rr3WMTi42OPDu48a28S/T4AoimY5zqctmtVJTJooinhw8QkC+6/CyBr/w8Sms3Bw7TGkJKYaOjRiYc7vuaqxSo7AC7h37hFio+KyHP9x6DpcP3wLgKLmJp/BQxRE8HIB68Zvw7ndl7WOQZt1nBkyOR5dDtb6nOaI7viIyRJFEWu/3YqDPx0DJ2EVhXoZ4MGlJ/jjhwNYdnYOvEsVMXSYxEIkxSaBZRkIOawYSIxNhotnIQDAuxcROL/nitq2DAPsnLcXTXs10OoOrUxN7daaRod+0KqduaI7PmKyjmw6hYM/HQOg+KQMfCo7JgKxkbGY3jEQgqB+vIMQXSpS0lP5c6iOxIqDq7eL8uvLf91Qu34UUPw8hz55h3cvIrWLobi7Vu2c3S17BjwlPmKSRFHE3h8Pqi0jxssFvH0ajtsn7uk3MGKxmn3ZEBKp+k40TsIi4MuGWXZMSEuWKRega5KWnKZVDNUCKqFQDhNiCnk4G2XNWX2ixEdMUkz4R4S/jNK4CStnxeHu6Qf6C4pYNIdC9hizcgiA7PVfOQkLx8KOGDL/yyzH/Sr5gs/Q3DcqsZbAq4SHVjFwEg5fLRmgsc3wxf0gsbLsUS5KfMQkqatXmNd2hpKSmIpHV57iyfXnSE9LN3Q4JJ86fNUKM3ZPRNGy3spjLMeiQZe6+Ol6IDyKZe2KbNClNpxcHdXe9XESFi36NsrVdlitBjbFpC2jYV9IcWeZOTZo72yHCZtG0TpVUOUWYqJ4nkc/v9GICY/V2G7Wn/9D4+7Gt6t0anIafp76G/75+TTS0zIAKP4wdf+2A/rN6GEW+6NZMlEUERr8DikJqShSwkPjerybx+5iZucfIIpiljV4LMfCo5gbVl9ZqJwMo0r8hwQEnX2EDFkGytYuhWLliwJQVCK6fvQuYsI/wtXLBf4dasLaxlpn79HYUMkyYhH2LD2ILVN/VbmzAsuxKFykEH4NWWd0SSRdloHJLeYi+PrzbIuNGQZo0rMBpv9unvUUiWrBN57jtwX7cP3oHYiCCFsHG7QZ0gz9ZvRAIXfVSTM9LR3rJ27HsZ/PQP5Zd2m1gIqYvG0sPP20m+hiLijxEYvAy3ks+HIFLu2/nqVME8uxsHW0wY+n56B0jRIGjjK7I5tOYuXoTRrHJ384MRM1W1bVX1DEKKQmpSI1KQ1Oro4ax+FEUcSsLj8oE+XnOAmLQh7OWH9naa4rv5iy3OQCGuMjJouTcJi5ZyJm/DEBlRuVh7O7E7xKeuLL77piy4PlRpn0AODwxpNgNOxqy0lYHP35tB4jIsbC1sEWhYu45Dj55P75x7h2+Ha2pAcoZjTHRsXjr1VHCipMk2fZU3uIyWNZFk17NUDTXg0MHYrWIl9HZ9sy5nO8XED4c+3WbRHLdPKX88qiDaoIvIBjW89g6MK+eo7MNBjFHd/atWtRvHhx2NjYwN/fHzdu3DB0SIQUGEcXB43PMywDZw/qtifqfYyMzXGxfPz7BD1FY3oMnvh2796NiRMnYvbs2bhz5w6qVauGNm3aIDo62tChEZJnSXHJiAiJQmpSKtJSZEj4mKisItN6UABYDYuWRUFEy35N9BUqMUGu3oUVBa010DQT1NIZvKtz+fLlGDFiBIYMUSz83LBhA44cOYKtW7di6tSpBo6OkNx5ERSCHbN3K3bAFj6V5P/Uq+ni6YxOo9ugzZBmOLT+OOI/JGT71M5yLPwq+qDxF/X0HzwxGW0GB+DY1jNqn2c5Fu2Gt9BjRKbFoHd86enpuH37Nlq2bKk8xrIsWrZsiatXr6p8jUwmQ0JCQpYHIcbg4eVgjGswHTeO3v130sFnQ3mxUfHYOW8vFvRejsUnZqJoGa9s56jatCKWnJoFa2nB79ZNTFelhuXR5It6Kpe8sBIW7j6uudrOyNIYNPF9+PABPM/D09Mzy3FPT09ERqoe3A8MDISzs7Py4evrq49QCdFIEAQsGfQT+HS5xo1ARUFE8I0X2DBxB0KfvAPDffrD9ek/Ua/fQ5ZCFVyIZgzDYOqv49B9fAdY23z2IYkBareqhpWX5sPJ1dFwARo5g67jCw8PR9GiRXHlyhXUr19feXzKlCk4f/48rl+/nu01MpkMMplM+XVCQgJ8fX1pHR8xqKCzDzG5xdx8n4eTsPAu7YUtD5dr3NuNkEzJ8cm4f+EJ5OlylK5ZAl4lPHN+kRnKzTo+g47xubm5geM4REVFZTkeFRWFIkVU76MmlUohlUr1ER4hWgsLfpdlPC+veLmAsOB3uHksCP7ta+okNmLe7J3tUb9TbUOHYVIM+pHS2toatWrVwunT/y7WFQQBp0+fznIHSIixs3GwyXfSy8RJONz8565uTkYIycbgszonTpyIQYMGoXbt2qhbty5WrlyJ5ORk5SxPQkyBf4eakFhLIE+X6+R8ujoPsTwpial4/TAULMeiZFU/sy5MnVcGT3y9e/fG+/fvMWvWLERGRqJ69eo4duxYtgkvhBgzp8KO6DauPf5c9rfKotm5wct5lK1TWjeBEYuRmpyGrd/vwj9bTkOWqpgg5VDIHt3GtacdP/6DilQToiM8z2PtuK04tOEEGIbJUkcxc781iRWHhl3r4vyeqyrLljEsA1sHG/zxbhNs7W30FjsxbemyDHzXah4eX32mYscPBk161jf7HT9MZnILIeaE4ziMWzsCPSd1xpldlxAbHQd5Og95hhwMgOKVi6HVwKawc7JFSlIabhy5o0iQnxIgJ2HBcixm7Z1ESY/kyqmdF/DwUrDK50RRxPk9V9BuWHPUalVNz5EZJ0p8hOiYV0lP9JvRQ2ObeX9NwfFtZ3Fg7T8ICw6HtY0Vmvasjx4TOsKvIq1NJblzZNNJMCyjcrcG4NOOH1tOwdW7MM7+fgnxHxLh6eeOVgObwK2oq56jNTzq6iQkBxnpGbj81w3cOn4PPM+jfN0yaDmgCeyd7AwdGiEAgO5uQ5D4MUljGwcXeyTFJitqfH7qihdFEYPm9kbf77ubfDcobURLiI6EBr/D1Dbz8T4sBpyEhSgqltzY2Ekxa+8k1Glbw9AhEoJBZb9B+Iu8b2U1fsNX6PBVKx1GpD1RFJGelg5OwuW4D6EmtBEtITqQmpSKKS3nIiY8FoBicbnAC4AIyFLSMavrErx5HGbgKAkBWg8MUE6gyotf5/8Jnud1GFHOeDmPg2uPYUj5ceho3x/tbfpgSqt5uHPqfoFfmxIfIWqc2XUJMRGxKmtviqIIURDw16qjBoiMkKw6jmoFF89CKrcq0qYL88O7j3hxJ6QgQlOJ53nM770cP437Ge8+3amKInDv3CN813o+Dm88WaDXp8RHiBqXD9wAA/V/NHi5gIv7rwEAHl56gvm9lqGX13D0LjoCS4esxYu7+vtDQiybs5sTVlyYh+KViwFQ7HKTeQfoVcpTq7vBtGRZjm105fi2c7j81w1FtaPPBtsyP2SuGbMZUW/eF9j1aVYnIWqkpchUrrX7XHpaBvb++Dc2TdkJTsIq99c7/dsFnPzlPCZvG4NWA5vqI1xi4bxLFcH620vw5NozPLryDBzHokaLyoiJiMO0tgs0vpZhGfiU89ZTpMCBn45mWcqTPSAGRzefwpAFfQrk+pT4CFGjdPUSeHzlabbNYjOxLIMixT2wacpOAMjSLvPfPw5diwr1ysCnrP7+qBDLxTAMKtYvh4r1yymP+VXyhYefO96HfVC53IGTsPDvUAuuXi56i/PNwzCNHyoFXsDLe68L7PrU1UmIGh1GtlKb9ABAEESkJKWC5TR0I7EMDq0/UQDREaIdlmUxbec3kFhLwHJZ/+RzEhbObk4Ys0q/tZGtcthomWUZWNsWXI1RSnyEqOFXwQdfLRmg+EJNbot+8wECr+GTq1zAvfOPCiA6QrRXuVEF/HQtEA271lUmP6mtNdoNa4G1NxfDo5i7XuNp0KWOyok4mQRBRIPOdQrs+tTVSYgGPf/XGWmp6fhl9u48n4OKAxNjULKqH2btnYTU5DSkJKTCsbADrHO48yooPf/XGRf+vKpyD0uWY+Hu44omX9QrsOvTHR8hOXgZFAJWw6dTTViORe3WVB+RGA9bexu4erkYLOkBQJmaJTFj90RYS63AMAxYjlXeAXoUc8OSU7MKdDsluuMjJAevH4ZB0DDWpw7DMJBYcegw0jAVMQgxZo26+eP3txtxYvs5PL/zChJrCfzb10SDLnXyVcFFG5T4CMmBnZOtVu0+LxLMsAw4CYc5+yfDw9etIMMjxGQ5FXbEFxM76f261NVJSA6a9W6ocQEwwzJo2LUObOykymOiIEKeIccPA9dgy9RfER1acItxCSG5Q0WqCclBwsdEDK80AfEfErOVL2M5Fjb2UqQmpandEoZhFFOzA/+ZjiqNK+Q5jpTEVBzdfApHN59CTHgsCnk4oe3QFug4qhUcXRzyfF5CzAHtzkCIjoUGv8OMjoGIeBUFzkoxS5PP4OHp5w6pnTVCg99lm532OYZlYOdoi12hG2DnqF3X6ecSYhIxoclMhAWHZ1n4y7AMPIq5YeXF+Ra5rxohmSjxEVIAeJ7HzX+CcO/cI4iiiKpNKsK7tCdGVJmk3QkYYNxPw9FpdJtcX3t+7+W4tP+6yoLZnIRF1aaVsOTkrFyflxBzkZtcQJNbCNESx3Go17EW6nWspTx2/8JjrV/PsiweXHqS68T3IfwjLu67prYrlZcLuHv6AUKD36FY+aK5OjchlogmtxCSD85ujrlqn5ddrp/ffqU26X0u+PrzXJ+bEEtEiY+QfMhNPUGBF1AtoHKur/Hf+orqUIUYQrRDiY+QfLB3stOqHcMAjq4OaN63Ua6vUalBuRyL+jIsg2oBFXN9bkIsESU+QvLBydURNZpXznGjTxt7Gyw68n2WtX7acihkjw5ftVR7DZZj0bxPI5rVSYiWKPERkk8DZvcCwzBQN3xXvLIvdjxfg/J1y+T5GiOWDECdttUB/Nv1mfnfSg3K4dv1I/J8bkIsDS1nICSfUpPT8Ov8P3FwzT+QpaaDs+IgCiIEXkCzPg0xaeNXkN66AUREAF5eQOPGAJf78ThBEHD7xD0c334WUW8+wNXLBa0HBcC/Y01weTgfIeaEljMQogeiKOLPZYewc95epCalKY9Lba3RuEc99JnWDUXvXwUqlAPevv33hT4+wKpVQPfuuboey7Ko07YG6rStoau3QIhFoq5OQvLoj8UHsGnKzixJDwBSE9Nw8pfzyNi1G/jii6xJDwDevVMc379fj9ESQjJR4iMkD5LikrFz/l6Vz4miCEYQ4LxwFqBqJCHz2PjxAM8XXJCEEJUo8RGSB5f2X0eGLEPt85WEaLikJ6o/gSgCYWHAxYsFEB0hRBNKfITkQVx0PDgNC8tdkab2uSwiInQUESFEW5T4CMkDd1838Bp2ZY+BjXYn8vLSUUSEEG1R4iMkDxp0rQNbB/XJ7THngTipE9Qu7mMYwNdXsbSBEKJXlPgIyQNbexuMWjZI5XMsx4KxtkLK/EDFgf8mv8yvV67M03o+Qkj+UOIjJI/aj2iJqTvHwd03a6mw0jVKYMX5efCe/DXw559A0f9sFeTjoziey3V8hBDdoMothORBwsdEnNxxHg8vBwMMUKS4B8rXKQ2/Sr4oXsk3a2OeV8zezGflFkKIelS5hZACdOvEPcztvhSy1HTFAUaxds+hkD0WHZ2e/QUcBwQE6DVGQoh6BuvqfP36NYYNG4YSJUrA1tYWpUqVwuzZs5Genm6okAjJ0bsXEZjVZTFkaekQRVHxEERABFLiUzC1zXzERscbOkxCiAYGS3zBwcEQBAEbN27Eo0ePsGLFCmzYsAHff/+9oUIiJEd/rz0OnhdU7oguCCJSk9Jw7OczBoiMEKItoxrjW7p0KdavX49Xr15p/Roa4yP61K/E14h+815jm3J1S+Ona4F6iogQApjwGF98fDwKFy6ssY1MJoNMJlN+nZCQUNBhEaKkqUyZsk1azm0IIYZjNMsZXrx4gTVr1mDkyJEa2wUGBsLZ2Vn58PX11dieEF0qV6cUWIn6XxtOwqJc3dK5Pu+LuyFYMXIjxtT5DhMDZmH/qiNIikvOT6iEEDV03tU5depU/PDDDxrbPHnyBOXLl1d+/e7dOzRt2hQBAQHYsmWLxtequuPz9fWlrk6iF7dP3sPUNgs0tll/ewlK1yih9Tl/W7AP22f9AU7CKsugMQwDJzdHLD09GyUqF8tXzIRYgtx0deo88b1//x4xMTEa25QsWRLW1tYAgPDwcAQEBKBevXrYvn07WDZ3N6E0xkf0SRRFbJq8E38uPwSWYyHwikSV+e9hgf3w5XddtT7fxf3XMe+LH1U+x3IsXDyd8cvLtbCWWukifELMlkHH+Nzd3eHu7q5V23fv3qFZs2aoVasWtm3bluukR4i+MQyDr5YOQIV6ZbBvxWE8uf4cDIBqAZXwxcROqNsud7uj7116ECzLQFA1S5QXEBMei0v7rqF5X6rpSYiuGGxyy7t37xAQEAA/Pz/8+OOPeP/+35lyRYoUMVRYhOSIYRg0+aI+mnxRH4IggGEYMOqKUWsgS5XhyfXnGttwEhZ3Tj2gxEeIDhks8Z08eRIvXrzAixcv4OPjk+U5I1phQYhG+emlUHWX91+iCAiC+u2PCCG5Z7C+xcGDB/9b+eI/D0Isga29DYpVKKrxblEQBFSsX06PURFi/mhQjRAD6jGhk9oPewzLwM7RFi36NdJzVISYN0p8hBhQ26HN0HpwAADFLM5MrISFlbUV5h34DrYOtgaKjhDzZFSVWwixNCzL4n8/f436nWrj4E/H8PLea0htrdG4Rz10/aYdvEvRRC9CdM2oanXmBa3jI4QQkptcQF2dhBBCLAolPkIIIRaFEh8hhBCLQomPEEKIRaHERwghxKJQ4iOEEGJRKPERQgixKJT4CCGEWBRKfIQQQiwKJT5CCCEWhRIfIYQQi0KJjxBCiEWhxEcIIcSiUOIjhBBiUSjxEUIIsSiU+AghhFgUSnyEEEIsCiU+QgghFoUSHyGEEItCiY8QQohFocRHCCHEolDiI4QQYlEo8RFCCLEolPgIIYRYFEp8hBBCLIrE0AEQ1eQZcpz+7SIOrT+Ot88jYO9khxb9GqPzmLZw8y5s6PAIIcRkMaIoioYOIj8SEhLg7OyM+Ph4ODk5GTocnUiXZWBW58W4ffI+GJaBKCj+F7EcC3snWyw7NxclqvgZOEpCCDEeuckF1NVphHYt2Ic7px8AgDLpAYDAC0hOSMWsrksgCIKhwiOEEJNGic/IZKRn4OC6Y1kS3ucEXkBkSDRuHb+n58gIIcQ8UOIzMuEvo5AUm6yxDSfh8PjKUz1FRAgh5oUSn5HhOG3+l4hgtWpHCCHkv+ivp5HxKuUJt6KaZ23ycgE1W1bRU0SEEGJejCLxyWQyVK9eHQzDICgoyNDhGBTHcej5v87qn5ewKFOzBCo1LK/HqAghxHwYReKbMmUKvL29DR2G0ej6TTt0HNkKgCLRAQDDMgAAz+IemHvgOzAMY7D4CCHElBl8Afs///yDEydOYN++ffjnn38MHY5RYFkW49aNQIt+jXFk8ymEBb+DvbM9mvVphGZfNoDUVmroEAkhxGQZNPFFRUVhxIgROHDgAOzs7LR6jUwmg0wmU36dkJBQUOEZFMMwqNyoAio3qmDoUAghxKwYrKtTFEUMHjwYo0aNQu3atbV+XWBgIJydnZUPX1/fAoySEEKIudF54ps6dSoYhtH4CA4Oxpo1a5CYmIhp06bl6vzTpk1DfHy88hEWFqbrt0AIIcSM6bxW5/v37xETE6OxTcmSJdGrVy8cOnQoyyQNnufBcRz69euHHTt2aHU9Y6vV+ejKU/y1+giCzjwEGAY1WlRGt3EdULFeWUOHRgghZis3ucBgRapDQ0OzjM+Fh4ejTZs2+PPPP+Hv7w8fHx+tzmNMie+v1Uexbvw2cBIWvFxRS5OTsOB5AeN+Go5Oo9sYND5CCDFXuckFBpvcUqxYsSxfOzg4AABKlSqlddIzJs9uv8S68dsAQJn0Pv/36rFbULFBOZSqVtwQ4RFCCPnEKNbxmYODPx1TrrlTheNYHFp3XI8REUIIUcXg6/gyFS9eHKa8NeD984+z3On9Fy8XcO/CYz1GRAghRBW649MRVsPdXibtClATQggpSPSXWEfqtquhMfmxHIs6bWvoMSJCCCGqUOLTkS5j2oIBA6gqockoEl/nr2lWJyGEGBolPh3xKeuNGbsnQCLhsuyVx3IsJFYSzNo7CV4lPQ0YISGEEMCA6/h0xZjW8QFAdOh7HN54UrGAnWVQs3kVdBjZCu4+roYOjRBCzJZJLGDXFWNLfIQQQvQvN7mAujoJIYRYFEp8hBBCLAolPkIIIRaFEh8hhBCLQomPEEKIRTGaWp2WJl2WgYt/XsOjy8FgWAY1WlRB/U61wUk4Q4dGCCFmjRKfATy5/hwzOy9G/PsEcFaKRPf3uuPw9HPHwqPfw6+C6W3LRAghpoK6OvXs/dsYfNd6HhJjkgAAfAYPPoNXPje5+RwkxSUbMEJCCDFvlPj07O+1xyBLSYcgZN/CSOAFxEUn4MSOc/oPjBBCLAQlPj07v/cqBF79vn2iKOL83qt6jIgQQiwLJT49S0tOy7lNUs5tCCGE5A0lPj0rUaVYlt0b/ouTsChRtZgeIyKEEMtCiU/POo1uo7Grk5cL6DSK9u0jhJCCQolPzxp2rYuW/Zsovvhs01qGUXzxxcROqNSgnAEiI4QQy0Dr+PSMYRhM3j4G5f3LYN+Kw4h4FQUAKFbRB70nd0HLAU0MHCEhhJg32o/PgERRREJMIhiWgaOLg/KujxBCSO7kJhfQHZ8BMQwDZzfTStaEEGLqaIyPEEKIRaHERwghxKJQ4iOEEGJRKPERQgixKJT4CCGEWBRKfIQQQiwKJb4CwvM8tF0imZYiw4d3MUhLkRVwVIQQQmgdnw7JM+Q4sukUDvz0D94+DYfEikP9LnXQe3IXlKtTOlv7t88j8Ou8vTi3+wp4OQ9OwiGgdwP0n9UTPmW8DPAOCCHE/FHlFh2RZ8gxu+sS3DwWBBEi8Om7yklYiCIwY/dENO7ur2wf8uANxjeeibRkWZai1ayEhY2dFCsvzkeJKn76fhuEEGKScpMLqKtTRw7+dEyR9MR/kx6g2G1BFEQs7r8KibFJyuM/DlufLekBgCAXkJYsw4/D1usrdEIIsSiU+HRAFEX8teao2jE9URSRIZPj5I7zAIBX99/g2a2XarcnEngBz269xMt7rwsqZEIIsViU+HQgLTkNUa/fa2zDsAye330FAHjz+K1W59W2HSGEEO1R4tMBzirnOUIMw8DK2goAYOtgo9V5tW1HCCFEe5T4dMBaaoXqzSuD5dR/O3k5j3qdagEAqjWrlGNSs3WwQfXmlXUaJyGEECNIfEeOHIG/vz9sbW3h4uKCrl27GjqkPOkztZvaMTtOwsKnrBf8O9QEANja26DX5C4az9fzf51ha093fIQQomsGTXz79u3DgAEDMGTIENy7dw+XL19G3759DRlSntVsWRUTNo4Ey7GKOz8GyjtAz+IeWHx8JjiOU7bvO707ekzoqGwnseKUr+sxvgP6zehhqLdCCCFmzWDr+ORyOYoXL465c+di2LBheT6Psazjy/T+bQz+2XIaIQ9DIbW1Rv3OddCwax1I1IwDRoRE4dTOC/gYEYvCXi5oOaAJvEp46jlqQggxbSaxA/udO3fw7t07sCyLGjVqIDIyEtWrV8fSpUtRubL6sS2ZTAaZ7N/SXgkJCfoIV2vuPq4YOKeX1u29SnhiwKyeBRgRIYSQzxmsq/PVK8XU/jlz5mDGjBk4fPgwXFxcEBAQgI8fP6p9XWBgIJydnZUPX19ffYVMCCHEDOg88U2dOhUMw2h8BAcHQxAUE0GmT5+OHj16oFatWti2bRsYhsHevXvVnn/atGmIj49XPsLCwnT9FgghhJgxnXd1Tpo0CYMHD9bYpmTJkoiIiAAAVKxYUXlcKpWiZMmSCA0NVftaqVQKqVSqk1gJIYRYHp0nPnd3d7i7u+fYrlatWpBKpXj69CkaNWoEAMjIyMDr16/h50fFmQkhhBQMg01ucXJywqhRozB79mz4+vrCz88PS5cuBQD07Gnekz3evYjApf03kJqYCt/yRdG4hz+sbax1eo1X99/g0eVggGFQvVkl+JYrqtPzE0KIqTLofnxLly6FRCLBgAEDkJqaCn9/f5w5cwYuLi6GDKvApKelY9nw9Tiz6xJYjgXDMuAzeKz5xg6Tt45Bw651832N929jsKjvSjy8FAyG+bRRhAjUblMNU3eOg7Ob4Zd8EEKIIdF+fHq0sM8KXNh7FYLwn285o6jl+eOZOajapKLqF2shOT4ZI2tMxoe3MeDlWavIsByLYhWKYu2NxTq/uySEEEOj/fiM0JvHYTi3+0r2pAcAoiLx7ZyrfjarNo5uOYPoNx+yJT1AsdXR64eKGAghxJJR4tOTC3uvaSxiLfACgs4+RPyHvC/IP7njnNo9AQHF1kgnfjmX5/MTQog5oMSnJ0lxyWBZJsd2KQmpeb5GXA5JUxRExEbF5/n8hBBiDijx6UnRMl4quyA/Z21jBZcihfJ8DU8/dzAakivLsfAqSXVACSGWjRKfnjTv2wgSa07t86yERauBAbCxy/vi/A4jWkJUNYb4icALaD+8RZ7PXxCe3nqJ5SPWY6z/VExuMRd/rzuOlMS83/USQkhOKPHpiUMhe3zz03AAioksn2MlLFy9XDBwTv7WLzbv1xgVG5RTOZbIsAzqtKuh3BPQ0ERRxNbpuzC27lSc2HEOT2++xL1zD7Hmmy0YUv5bhD19Z+gQCSFmihKfHrUb1gJz/5qCElWKKY9JrCVo2a8J1lwLROEi+Vu/aC21wuLjM9B+REtYSa2Ux23spegxviPm7J+cZU9AQzqz6xJ+D/wLAJRdwKIIQATiouPxfftF4OW8ASMkhJgrWsdXwEKD3+HYz6cR/ioKjoXs0bR3Q9RoURnRoR+QmpgGTz832Dvb6/y6SXHJeHE3BAzLoGytkrB1sNX5NfJKFEWMqjEZIQ9DNXbNztk/WSeL+gkh5s8k9uMzd6IoYtuM3/F74F9gJSwEXgDHsTi27SwqNyqPBYemFuiGsw6F7FG9mfp9DQ0pKS4Zr+6/0diGk3C4c+o+JT5CiM5RV2cBObLplLIrT5ALgPhvl97jq8+wqN8qQ4ZnUAKveXZrppxmwRJCSF5Q4suD53deIbD/KnR06I82Vr0xquZkHNt6BjyvGJMSBAG/B+5X+3qBF3Dj6F28efzvXoIZ6RmIjYpDWopM7evMhZOrI4qU8AA0LGvk5TwqNSynv6AIIRaDEl8uXT5wA9/Um4bze65AliKDwAt4df8Nlg1fj4VfrgDP8wgLfofo0A8az8NyLK4dvoOPkbFY8dUGdHUZjF5eI9DFeSDm9VyWY1egKWMYBt2/7aD+eZaBo6sDmvasr8eoCCGWghJfLiR8TMSivivB80KWbrjMCRoX91/H0U2nkCGT53guhmHw+lEoBpQcg6NbTiM9NR2A4m7w8oEbGFtvGh5cfFIwb8QIdB7TBk17NgCALMsvWI6F1NYa8w58R8W0CSEFghJfLpzccR4Z6fJPe/1kxwDYv+oIvEsXgbWNlepGn/ByHqd+vYD0tIxszwm8AHm6HIH9Vym7T80Nx3H4fte3mPHHBFRqUA6OLvZwK1oY3b/tgM0PlqNyw/KGDpEQYqZoVmcuPLv9EgzDQFST+UQRePssApyERZvBzXBk8ymVEzky73A0TfIQBRHvw2Jw5+R91GlbQzdvwMiwLIumvRqgaa8Ghg6FEGJB6I4vFyTWEjA51JlmGMVU/GGBfeFX0SdbYWpOwkJixWk1s5FlGbx5/DY/IRNCCPkPSny5ULdtDY1T7FmORfXmVSCxksDe2R4rLy3AwDm94Vq0MABAamuNNoOboc+0blpdTxBFSPNRu5MQQkh2Ft/VmZ6WjmuHbyPqzQc4uzmiQZc6cCikupJKg6514FncHe/DYlTesQm8gN5Tuii/tnO0Rb8ZPdBvRg/wch4sx4JhGJzZdVGr2BgwqN+pVt7emInJHMv8vKQaL+dx81gQwoLfwcbBBvU714abd2GVr3966yWObDyBV/ffwNbBFo171EPLAU1g52g8FWsIIcbBokuWnfn9EtaM2aLYK49TVFexsrFCv+k90Pf77tmKSQPA2+cRmNJyLt6HxYBhGYiCCJZjIYoivlkzDJ1Gt8nxuomxSejtPSLH2Z+tBwdg8tYxuXpPpubSX9fx5/JDeHzlKUQRqFCvDHpM6ATHwvb4YeBP+BgRq/j+CiLAAO1HtMSYVUNgZa2YPCSKInbM2o3fFu4DJ2HBywUwjGL+kauXC348Mwc+Zb0N+yYJIQUuN7nAYhPf5QM3MKf7UrXPD1nQB32/767yOVmqDBf2XsPVQzeRlpKO0tWLo/2IlihS3EPr62+Z+it2Lzmo9vkyNUti5eUFsJZqnh1qyrbP+gO/LdgHlmUgfFoSkvnvzH0F/1vLk2EYtBzQBFO2jwUAnNl1EYH9V6s8P8ux8Cjmhu1PV4OTGEdxbkJIwaDElwNRFDGk/LcIfxEBde/e2sYKeyK3wN7JTofR/ovneaz7dhv+Xn8cDMOAARR//Bmg8+g2GLtmmMo7TnPx6MpTjG80I8+v3/pkJXzKeiuKXT8IhaYf49n7/odG3fzzfC1CiPGjItU5eHnvNd49j9DYJj0tA1f/voWW/ZsUSAwcx+Gbn4bji0mdcOa3S4iLjodHMTe06N8439sTmYJD648ruyZzi+VYnP39Mrp9217LYtcPKPERQpQsMvElxCTl2IZhGSTEJBZ4LF4lPNFvRo8Cv46xCb7xIs9FqNlP/2+0LXatbTtCiGWwyOUMnn5uObYRBTFXY3Ykd3KqbKMJzwsoUsJD+2LXDajYNSHkXxaZ+IqW9kLlRuWz1IjMggGc3RxRt715VkwxBo26+YNl8/bjx7IsWg5oonWx6yY96+U1TEKIGbLIxAcAY1YNhZW1JFvyU0w0YfDt+q8gsbLInmC96DCyFaR21tkq2wBQzuhkOdW3csMX90Mhd2cAimLXAb00F7uW2lIRAELIvyw28ZWuUQIrLy1A5UZZiyH7VfLBgsPT0LgH3SUUJFcvFyw+PgN2znYAoxi3Y1gGYABbBxvM2D0R9TvXUSZBAPAs7o4p28fii4mdlMc4jsO037IXu+42rj023V9Gxa4JIdlY5HKG/4oIiUJ06Ac4uznBr6KPWS8jMDapSak4/dsl3Dv/CBBFVGlcMUvFlY+RsQh/EQkbBxuUrOqX5+5RQoh5o3V8hBBCLAqt4zNBgiAg6MxDvHn8Fjb2UtTrWAsunoUMHRYhhJgdSnxG4OHlYCwesBpRr9//W/9TwqLDV63w9YrBNMlGRzLSM3D39EPEf0iARzE3VGlcgbpOCbFA9BfVwF7df4PvWs2DPF1RsDqzNqUgF3B4/QmkJaUp61KSvPvn59PYMvW3LEUJPP3cMW7dCNRtR8tWCLEk9HHXwHbO2wt5Bq8s0vw5URRx8pfzePOENqPNj8MbT2L5iA3ZKvFEh37AjE6BuH3ynoEiI4QYAiU+A0pNTsOVAzc0ltTiJCzO/Kbd/n0kO1mqDJu/26nyOVEUARHYMGmHxiLXhBDzQonPgJLjU1Te6WXBMIj/UPA1Q83V9SN3kJKQqvZ5URTx+mEYQh6E6jEqQoghUeIzICdXxxxrVoqCCE8/dz1FZH4+RsZptS7zY2RcwQdDCDEKBk18z549Q5cuXeDm5gYnJyc0atQIZ8+eNWRIemUttUKrAU3BStT/bxBFEa0GFszWSJbA1buwVt2Yrt7mvxUUIUTBoImvY8eOkMvlOHPmDG7fvo1q1aqhY8eOiIyMNGRYOYp4FYWgsw/x6v6bfI8N9Z/1BZxdHcGpSX4DZ/eCW1HXfF3Dkvm3rwGHQvZqn2dYBqWqF0eJysX0GBUhxJAMVrnlw4cPcHd3x4ULF9C4cWMAQGJiIpycnHDy5Em0bNlSq/Pos3LLy3uvsW78Ntw//1h5zKecN0Ys7o8GXerk+bxRb97jp3E/4/rhO8pEyrAMRFGEs5sT2gxuhh4TOpj0BrWyVBnun3+MtGQZilUoCr+Kvnq79vHtZ/Hj0HXZjjMMA5Zj8MOJWagWUElv8RBCdM8kSpaJoogKFSqgcePGWLlyJaRSKVauXImlS5ciODgYLi6q/8jLZDLIZDLl1wkJCfD19S3wxPfq/huMazAdGbKMLLMwGQYQRWDab9+ieZ9G+brG8zuvMKNjIGKj45Xr+QDFTgPObo5YdXkhvEp65usa+iaKInb/cAB//HAAyfEpyuMV6pfFpM2j9JYAT/92EZu/24mY8FjlMZ9y3hi3djhqNK+ilxgIIQXHJBIfALx9+xZdu3bFnTt3wLIsPDw8cOTIEdSooX5B8Zw5czB37txsxws68U1uMRf3LzxWu/TAoZA9dodvgrWNdZ6vMbvbElw/clvlzuSchEXZOqWx+vLCPJ8/L2SpMsRFJ8De2U5jl6E6W6b+it1LDmY7znIsbB1tsPbGYhQt7aWLUHPE8zweXgxG3HtF5ZbydUtTQXJCzERuEp/Ox/imTp2q2NNOwyM4OBiiKGLMmDHw8PDAxYsXcePGDXTt2hWdOnVCRESE2vNPmzYN8fHxykdYWJiu30I2UW/eI+jsQ43r7ZLiknH10O08XyM67AOu/n1LZdIDAF4u4MnVZ3h1/02er5EbH8I/YvlXG9DNdQj6l/ga3VwH4/sOixB847nW54h68x57lv6t8jmBF5CWlIad8/bqKuQccRyHagGV0LRnfVTwL0NJjxALpfOSZZMmTcLgwYM1tilZsiTOnDmDw4cPIzY2Vpmd161bh5MnT2LHjh2YOnWqytdKpVJIpfrdWDQ69EOObViORdTr6Dxf42XQa60myjy7/Qolq/rl+TraiA77gG/qfY+49/EQMhOxCNw+cQ93T93HgsPTUKtVtRzPc+rXC4qxSl71++LlAs79cQXjN4yEjd2//0/DX0biyMaTeHz9OSQSDnXb10SbIQFwKuyoi7dHCLFwOk987u7ucHfPed1ZSopivOe/RYJZloUgqL+zMgQnV4cc2wiCACe3vHe1Sqy1+19hpWW7/NgwcUfWpPeJwAsQRQY/DFyD38M2gpNwGs8TEx6r2EiWV9+Gl/NIiElUJr5jW89g+Yj1AMMoxzmDzj3Ebwv+ROCxGajgXyZ/b44QYvEMtpyhfv36cHFxwaBBg3Dv3j08e/YMkydPRkhICDp06GCosFQqVsEHxSv7auwas7KWoGHXvM/srNywHKR2mu9kOQmLmi0LdiJGbHQ8Lh+4kS3pZRIFEbFR8bh+9E6O5ypcpFCWSTqqcBIWjoUVHyweX32KZcPXQxSR9XUikJKQgmntFiApLln7N0MIISoYLPG5ubnh2LFjSEpKQvPmzVG7dm1cunQJBw8eRLVqOXej6RPDMBi+uD9EiICa3Ndnanc4uuR8Z6iOrYMtun3TTm1yZVgGrQYGFPgefREvIzWOZQKKZBX65F2O52rRr7HGu3dOwqLxF/Vga28DAFg7bqvatqIIJMel4MSOczlelxBCNDHoAvbatWvj+PHjiImJQUJCAq5evYp27doZMiS1/NvXxKw9k5TjTCyrSFBWNlYYNLc3+s/6It/XGDz/SwR82RAAlAvaM/9bp211jF0zNN/XyImtg02ObQRe1KqdV0lPdPumvcrnWI6FtY01BszqBQBIl2Xg2e1XOZ7zyOZTSE1SX3uTEEJyYtDlDLqgzwXsgGIz0xtH7yIyJBpOro5o0KU27J1zP81fHVEU8eT6c5zYdhbv38bAxbMQWg1siqpNK+plFqIgCBhcdhwiXkWpbcOwDH57vR7uPjlXlBEEATvn7sXeZYcgS/l3/WWpan7437YxKF29BADgyt83MbvrEq1idCtaGEvPzIFPGf0sgyCEGD+TWcenC7pMfLycx6X913Fk8ylEvIpCIQ9ntBrQFK0GNoGtg62OIta95IQUnNp5AfcvKCrKVG1SES0HNIG9k12eznfq1wv4YeAalc8xLIO2Q5tj4qZRuTpnSmIq7py6j9SkNBSr4IOytUpmSeRHN5/CipEbtToXy7HwKOaG7U9X5zjBhhBiGXKTC2gH9k/S09Ixs/Ni3Dn1ACzHQuAFRL2ORvCN59i/6giWnZsLVy/jKxn24OITzOgUiJTEVGUiufDnVWydvgvz/56Kqk0q5vqcLfs3QcKHRGyashOCIIDjWAiCCIEX0KJvY3zz07Bcn1Nqaw0bexukJKQi8WMSBF7IkrRcixbW+lwCLyAyJBpXD91Co27+uY6FEGLZ6I7vkw0Tt2P/6qMqZyFyEhaVGpTHsnPZK8YY0vu3MRha4Vukp6Zn29ePZRlY2VhjW/AqrbokVYl7H49TOy8gMiQajoUd0KxPIxQrXzTX5zm3+zLWjd+G2Kh45TEXT2eMXjEEzT6Nacoz5PjSZyTi3ydodU5OwqHt0OYYv+GrXMdDCDE/dMeXS6lJqTi86ZTaqfe8XMD9C48R8uANSlQp2MXjuXF4wwmkp2Wo3MxWEERkyDJweMMJDFnQJ0/nL+TujC8mdspXjOf3XsXCPiuzHY+NiseivivBMEBA74aQWEkwdvVQlW3V4eUaFggSQogatBEtgBd3X2eZeKEKwzC499muDMbg8oEbGpceCLyAywduFMi1RVHE42vPcGDNPzi88SQiVVSt4XkeGyZu13ie9RN3gOcVCSygd0PM2jsJHn5uOV6fl/OwkmrexJcQQlShOz4Tlp6WoZM2uRUa/A4L+6zAq3tvwDCMYn0jgCZf1MOkLV/DzlExEejBhSf48O6jxnN9jIjF/fOPlTskNO5RDw271cXGSb9g/6ojGl97aMNxNOruj5otaHcFQoj26I4PQKnqxXOsmiKKIqo1zf1EkYJUvm5ptRvYAoqxyXJ1S+n0mh/exWBC45l4/VBRHFwURUAEIAKX9t/AjE6BykXrn4/paRIbGZfla5Zl8dWPA+DfoZbG1zEMg+0zf8/1eyCEWDZKfADsHG3RYURL5aL0/+IkLKo2qWhU43sA0PnrNmp3cwAUY5Ndvm6r02vuX3kESXHJKrtYBV7AgwtPcPvEPQCK9XbaUDWjk+M41GhWWW2lHEBR1uzJteeIDn2vXfCEEAJKfErDAvsqd+HOTIAMA4ABPIt7YNqubw0YnWqVG1VAv+k9ACjWtmXK/He/6T1QuVEFnV7zxC/nNY4rshyL079dBABUalgOnn7uULvungHcfV1RpbHqGBPjkrRap5fwMSnHNoQQkonG+D6xtrFG4LEZuPDnNRzd8mkBu7sTWg0MQOtBTY12Afvg+V+iTK2S2LfiMB5eDgYAVKxfFl9M7ISGXevq/HpJsZqTjMALiItWdHGyLIsxq4didtclYBgRny+cYRhFD+nYNcOy7dCRqUgJzxxnbrIcm+flGoQQy0Tr+MxI5tiaukSiC/1LfI2oN+q7FjkJi7ZDmmP8xpHKY9cO38a68duylEHzKumB0SuGoH6n2mrPlZqUil5eI5CWrHrGLSdhUb9zHcz+8395eCeEEHNC6/gsVEEmvEwdvmqFbTN/17jmse2w5lmO1etYC/4dauLJtWeICY9FYS8XVKhXJsd4bR1sMXbNMPw4dJ1i9uhnn9FYjoWdox1G/NA//2+KEGJRKPGRXOk8pg1O/Xoeb59FZB/rY4A2g5uhXJ3S2V7HMAwq1i+X6+u1GdwM9s522Dbjd+VWSAzDoG77Ghi1bBC8SxXJ0/sghFgu6uokuZbwMRHrJ2zH2d8vK8fgHArZo8eEjujzfTdwnO4LR4uiiNAnb5EcnwLP4h5GWTeVEGI4tDsD0Yv4DwkIeRAKibUEZWuXgjVVUiGEGAiN8RG9cHZzQvVmlXVyrohXUTj40z+4+NcNpKemo3SNEugypi38O9TUyz6EhBDLQYmPGNy9c4/wfYdFkKfLleOGd07dx63jQeg0ujW++Wk4JT9CiM7QAnZiUCmJqZjV9QdkyDKyTJbJ/Peh9Sdw6tcLhgqPEGKGKPERgzr96wWkJKaqXR7BsAz2rTis56gIIeaMujqJ3oiiiJdBr/ExMg6u3i4oWdUPj64+BcuyasugiYLiNelp6bC2sdZzxIQQc0SJj+jFzeNB2DBxu3ItHgAUr+yr9bIERk0BcUIIyS1KfKTAXT9yGzO7/AD8pzfzzeO3ePPoLTStqGFZBuXrlYWVNS2VIIToBiU+UqAEQcDqsT8DYtYi1YCiGxPMv7tJqNzqSBDR63+d9REqIcRC0OQWUqAeXHiC6DfvsyU9JVGR8GzspFm6MzM32B00t3eB7DJBCLFcdMdHClR02Aet2o1aMRiJMYm49NcNyFJlKFurFDqOao1ytXW7gzwhhFDiIwWqkLt2ZeS8S3qi2tDm6DW5SwFHRAixdNTVSQpUjRZV4OzmqLGNq7cLKjcur6eICCGWjhIfKVASKwlGLBmgsc1XSwcWyI4OhBCiCnV1kgLXZnAzCLyATZN3IikuGWAAiIBjYQeMXj4Yzfs0MnSIhBALQtsSEb1JT0vHjX/uIjYyDq7ehVGnXfUCXZ8nCAIYhqEC14RYANqWiBglaxtrNOrmX6DXEEURF/ddw74Vh/Hk+nMwAKoGVELPSZ1Rt12NAr02IcQ0UOIjZmXzlJ3Yu+wQWI6FKIgQAdw//xhBZx5i2KK++HJqN0OHSAgxMJrcQszGnVP3sXfZIQBQucXRz9/vwvM7rwwSGyHEeFDiI2bjwE//gJWo/5HmJCwOrT+ux4gIIcaIEh8xG09vvoAgV729EQDwcgHBN17oMSJCiDGixEfMgiAI4CQ5rwW0tqFdHgixdAWW+BYuXIgGDRrAzs4OhQoVUtkmNDQUHTp0gJ2dHTw8PDB58mTI5fKCComYodSkVOyYvRu9igzH+7AYjW0ZlkGDLlTwmhBLV2CzOtPT09GzZ0/Ur18fP//8c7bneZ5Hhw4dUKRIEVy5cgUREREYOHAgrKyssGjRooIKi5iR1KRUTGw6G6/uv1G7g3smlmVg42CDdsNb6Ck6QoixKrA7vrlz52LChAmoUqWKyudPnDiBx48f49dff0X16tXRrl07zJ8/H2vXrkV6enpBhUXMyG8L9uWc9BjFw87ZDoHHZsDFw1lv8RFCjJPBxviuXr2KKlWqwNPTU3msTZs2SEhIwKNHj9S+TiaTISEhIcuDWB55hhyHN57M8U6vdI0SGPfTcPz2ej0q1iurp+gIIcbMYIkvMjIyS9IDoPw6MjJS7esCAwPh7OysfPj6+hZonMQ4fYyMQ3J8isY2EisOlRuUR6fRbWDnaKunyAghxi5XiW/q1KnK2ofqHsHBwQUVKwBg2rRpiI+PVz7CwsIK9HrEOEltrXNsI4qAtRbtCCGWJVeTWyZNmoTBgwdrbFOyZEmtzlWkSBHcuHEjy7GoqCjlc+pIpVJIpVKtrkHMl7ObEyrUL4vg688hCqrrrPNyHg270SxOQkhWuUp87u7ucHd318mF69evj4ULFyI6OhoeHh4AgJMnT8LJyQkVK1bUyTWIees3vQdmdAxU+RzLsajUoBwq+JfRc1SEEGNXYGN8oaGhCAoKQmhoKHieR1BQEIKCgpCUlAQAaN26NSpWrIgBAwbg3r17OH78OGbMmIExY8bQHR3Rin/7mpiwcSQ4Kw4My4CTsMpF7BX8y2DOX5NpSyJCSDYFth/f4MGDsWPHjmzHz549i4CAAADAmzdvMHr0aJw7dw729vYYNGgQFi9eDIlE+xtR2o+PxEbF4cSO8wgNfgtbexs0/qIeqjapSEmPEAuSm1xAG9ESQggxebnJBVSrkxBCiEWhxEcIIcSiUOIjhBBiUSjxEUIIsSiU+AghhFgUSnyEEEIsCiU+QgghFoUSHyGEEItCiY8QQohFocRHCCHEouRqdwZjlFlxjXZiJ4QQy5WZA7SpwmnyiS8xMREAaCd2QgghSExMhLOzs8Y2Jl+kWhAEhIeHw9HRUe/V+BMSEuDr64uwsDAqkK0l+p7lHn3Pco++Z7ln6t8zURSRmJgIb29vsKzmUTyTv+NjWRY+Pj4GjcHJyckkf1AMib5nuUffs9yj71numfL3LKc7vUw0uYUQQohFocRHCCHEolDiywepVIrZs2dDKpUaOhSTQd+z3KPvWe7R9yz3LOl7ZvKTWwghhJDcoDs+QgghFoUSHyGEEItCiY8QQohFocRHCCHEolDiI4QQYlEo8eXRwoUL0aBBA9jZ2aFQoUIq24SGhqJDhw6ws7ODh4cHJk+eDLlcrt9AjVjx4sXBMEyWx+LFiw0dllFZu3YtihcvDhsbG/j7++PGjRuGDslozZkzJ9vPU/ny5Q0dllG5cOECOnXqBG9vbzAMgwMHDmR5XhRFzJo1C15eXrC1tUXLli3x/PlzwwRbgCjx5VF6ejp69uyJ0aNHq3ye53l06NAB6enpuHLlCnbs2IHt27dj1qxZeo7UuM2bNw8RERHKxzfffGPokIzG7t27MXHiRMyePRt37txBtWrV0KZNG0RHRxs6NKNVqVKlLD9Ply5dMnRIRiU5ORnVqlXD2rVrVT6/ZMkSrF69Ghs2bMD169dhb2+PNm3aIC0tTc+RFjCR5Mu2bdtEZ2fnbMePHj0qsiwrRkZGKo+tX79edHJyEmUymR4jNF5+fn7iihUrDB2G0apbt644ZswY5dc8z4ve3t5iYGCgAaMyXrNnzxarVatm6DBMBgDxr7/+Un4tCIJYpEgRcenSpcpjcXFxolQqFX///XcDRFhw6I6vgFy9ehVVqlSBp6en8libNm2QkJCAR48eGTAy47J48WK4urqiRo0aWLp0KXUFf5Keno7bt2+jZcuWymMsy6Jly5a4evWqASMzbs+fP4e3tzdKliyJfv36ITQ01NAhmYyQkBBERkZm+ZlzdnaGv7+/2f3MmfzuDMYqMjIyS9IDoPw6MjLSECEZnXHjxqFmzZooXLgwrly5gmnTpiEiIgLLly83dGgG9+HDB/A8r/JnKDg42EBRGTd/f39s374d5cqVQ0REBObOnYvGjRvj4cOHcHR0NHR4Ri/z75Kqnzlz+5tFd3yfmTp1arbB8f8+6I+OZrn5Hk6cOBEBAQGoWrUqRo0ahWXLlmHNmjWQyWQGfhfEFLVr1w49e/ZE1apV0aZNGxw9ehRxcXHYs2ePoUMjRobu+D4zadIkDB48WGObkiVLanWuIkWKZJuBFxUVpXzOXOXne+jv7w+5XI7Xr1+jXLlyBRCd6XBzcwPHccqfmUxRUVFm/fOjS4UKFULZsmXx4sULQ4diEjJ/rqKiouDl5aU8HhUVherVqxsoqoJBie8z7u7ucHd318m56tevj4ULFyI6OhoeHh4AgJMnT8LJyQkVK1bUyTWMUX6+h0FBQWBZVvn9smTW1taoVasWTp8+ja5duwIABEHA6dOnMXbsWMMGZyKSkpLw8uVLDBgwwNChmIQSJUqgSJEiOH36tDLRJSQk4Pr162pnr5sqSnx5FBoaio8fPyI0NBQ8zyMoKAgAULp0aTg4OKB169aoWLEiBgwYgCVLliAyMhIzZszAmDFjLGLbj5xcvXoV169fR7NmzeDo6IirV69iwoQJ6N+/P1xcXAwdnlGYOHEiBg0ahNq1a6Nu3bpYuXIlkpOTMWTIEEOHZpT+97//oVOnTvDz80N4eDhmz54NjuPQp08fQ4dmNJKSkrLcAYeEhCAoKAiFCxdGsWLFMH78eCxYsABlypRBiRIlMHPmTHh7eys/fJkNQ08rNVWDBg0SAWR7nD17Vtnm9evXYrt27URbW1vRzc1NnDRpkpiRkWG4oI3I7du3RX9/f9HZ2Vm0sbERK1SoIC5atEhMS0szdGhGZc2aNWKxYsVEa2trsW7duuK1a9cMHZLR6t27t+jl5SVaW1uLRYsWFXv37i2+ePHC0GEZlbNnz6r8uzVo0CBRFBVLGmbOnCl6enqKUqlUbNGihfj06VPDBl0AaD8+QgghFoVmdRJCCLEolPgIIYRYFEp8hBBCLAolPkIIIRaFEh8hhBCLQomPEEKIRaHERwghxKJQ4iOEEGJRKPERQgixKJT4CCGEWBRKfIQQQizK/wE6AUA+yZN6WAAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize = (5,5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=T)\n",
|
|
"plt.scatter(mu[:,0],mu[:,1], c = 'red', marker = 'o')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"0 custer dist: [[6974.82709438]]\n",
|
|
"1 custer dist: 0\n",
|
|
"2 custer dist: 0\n",
|
|
"3 custer dist: 0\n",
|
|
"Summary of squared cluster dist: [[6974.82709438]]\n",
|
|
"Mean summary of squared cluster dist: [[1743.70677359]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"#Сумма квадратов расстояний до центроида\n",
|
|
"\n",
|
|
"cluster_dist=0\n",
|
|
"for j in range(0, np.shape(mu)[0]):\n",
|
|
" summ = 0\n",
|
|
" obj = np.where(T==j+1)\n",
|
|
" for i in range(0, np.shape(obj)[1]):\n",
|
|
" #print(euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))\n",
|
|
" summ = summ + (euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))**2\n",
|
|
" if(summ>0):\n",
|
|
" summ = summ\n",
|
|
" cluster_dist = cluster_dist + summ\n",
|
|
" print(j,' custer dist: ', summ)\n",
|
|
"print (\"Summary of squared cluster dist: \", cluster_dist)\n",
|
|
"\n",
|
|
"print (\"Mean summary of squared cluster dist: \", cluster_dist / np.shape(mu)[0])\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"source": [
|
|
"# K-means"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.cluster import KMeans"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[1 1 2 1 3 3 1 0 0 2 1 0 1 1 1 1 1 1 2 2 3 1 2 0 3 2 2 0 3 2 0 0 3 1 2 2 2\n",
|
|
" 1 0 0 2 1 1 2 3 2 3 3 1 0 2 1 3 0 1 2 1 2 2 1 1 2 1 2 1 3 1 0 2 0 0 1 2 2\n",
|
|
" 1 1 3 3 2 3 1 2 2 2 2 1 2 0 1 2 0 2 3 1 0 2 3 2 2 1]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KMeans(n_clusters=4, n_init=10)\n",
|
|
"model.fit(X)\n",
|
|
"all_predictions = model.predict(X)\n",
|
|
"print (all_predictions)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize = (5,5))\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=all_predictions)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Sum of squared distances of samples to their closest cluster center.: 472.08573606137327\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print('Sum of squared distances of samples to their closest cluster center.:', model.inertia_)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[6974.82709437959, 2194.619727635032, 870.8643547241178, 472.08573606137327, 259.5795564009951, 176.1282308577753, 153.70943167635176, 143.24864846484422, 125.24089654012067]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"inertia = []\n",
|
|
"for k in range(1,10):\n",
|
|
" kmeans = KMeans(n_clusters=k, random_state=1, n_init=10).fit(X)\n",
|
|
" inertia.append((kmeans.inertia_))\n",
|
|
"print (inertia)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<function matplotlib.pyplot.show(close=None, block=None)>"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(5,5))\n",
|
|
"plt.plot(range (1,10), inertia, marker='s')\n",
|
|
"\n",
|
|
"plt.show"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"kmeans = KMeans(n_clusters=6, random_state=1, n_init=10).fit(X)\n",
|
|
"plt.scatter (X[:,0], X[:,1], c=kmeans.predict(X))\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## DBSCAN"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.cluster import DBSCAN"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Estimated number of clusters: 5\n",
|
|
"Estimated number of noise points: 21\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([ 0, 0, 1, 0, 2, 2, 0, 3, 3, 4, 0, 3, 0, -1, 0, 0, 0,\n",
|
|
" 0, 1, 4, 2, 0, -1, 3, 2, -1, 1, 3, 2, 4, -1, 3, 2, 0,\n",
|
|
" 4, 1, 1, -1, -1, -1, -1, -1, 0, 4, 2, 1, -1, 2, 0, 3, 4,\n",
|
|
" 0, 2, 3, 0, -1, -1, 4, -1, 0, 0, 1, 0, 4, 0, 2, 0, 3,\n",
|
|
" 1, 3, 3, -1, -1, -1, 0, 0, 2, 2, -1, 2, 0, -1, 4, 1, 4,\n",
|
|
" 0, 1, -1, 0, 1, 3, 1, 2, 0, -1, 1, 2, 4, -1, 0],\n",
|
|
" dtype=int64)"
|
|
]
|
|
},
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"#db = DBSCAN(eps=0.3, min_samples=7).fit(X) # параметры для make_moons \n",
|
|
"db = DBSCAN(eps=1.2, min_samples=6).fit(X)\n",
|
|
"labels = db.labels_\n",
|
|
"n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n",
|
|
"n_noise_ = list(labels).count(-1)\n",
|
|
"\n",
|
|
"print(\"Estimated number of clusters: %d\" % n_clusters_)\n",
|
|
"print(\"Estimated number of noise points: %d\" % n_noise_)\n",
|
|
"labels"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.scatter (X[:,0], X[:,1], c=labels)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.4595289684168414"
|
|
]
|
|
},
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"silhouette_score(X,labels)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.9.13"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|