From 25f23e0aa5d0f15fc5f2c3f73925210cb351dc19 Mon Sep 17 00:00:00 2001 From: Mokhov Andrey Date: Mon, 20 Mar 2023 09:23:04 +0300 Subject: [PATCH] lec07 --- README.md | 5 +- lections/IIS_lec_7.pdf | Bin 0 -> 2114378 bytes lections/IIS_lec_7.pptx | Bin 0 -> 2671946 bytes lections/notebooks/lec7_clustering.ipynb | 555 +++++++++++++++++++++++ 4 files changed, 558 insertions(+), 2 deletions(-) create mode 100644 lections/IIS_lec_7.pdf create mode 100644 lections/IIS_lec_7.pptx create mode 100644 lections/notebooks/lec7_clustering.ipynb diff --git a/README.md b/README.md index 3277e04..f87cb53 100644 --- a/README.md +++ b/README.md @@ -10,6 +10,7 @@ | 27.02.2023 | [Векторное представление слов](lections/OATD_lec_4.pdf) [pptx](lections/OATD_lec_4.pptx)
[Обзор методов классификации](lections/OATD_lec_5.pdf) [pptx](lections/OATD_lec_5.pptx) | | 06.03.2023 | [Обзор методов классификации. Профильные методы](lections/OATD_lec_5_2.pdf) [pptx](lections/OATD_lec_5_2.pptx) | | 13.03.2023 | [Ансамблевые методы классификации](lections/OATD_lec_6.pdf) [pptx](lections/OATD_lec_6.pptx) | +| 20.03.2023 | [Кластеризация данных](lections/OATD_lec_7.pdf) [pptx](lections/OATD_lec_7.pptx) | ## [Журнал группы](https://docs.google.com/spreadsheets/d/1Ylxaq-dMsEjq2ValfzxFbz9bQC7gCFsfHVfGE9VSx3Y/edit#gid=0) @@ -40,8 +41,8 @@ | Группа | Дата | | :--- | :---: | -| А-01-19 | 13.03.2023 | -| А-03-19 | 06.03.2023 | +| А-01-19 | 13.03.2023, 27.03.2023 | +| А-03-19 | 06.03.2023, 20.03.2023 | * [Задание](labs/OATD_LR3.md) * [Методические указания](labs/OATD_LR3_metod.ipynb) diff --git a/lections/IIS_lec_7.pdf b/lections/IIS_lec_7.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f4b47882c442837b9f4051014abc486384d9f5fc GIT binary patch literal 2114378 zcmd421z45c(l-u@fQX<1N(oyKklb{Kv~)K}ZkkPPN=gMpkP@W38>AaVx?4a>TDrTw zn~gsDoaZ^`yzl>h9ty<*m^Su^vSnVU>jNQ9Pwj`=nkSqbpmMq>ccgDmw- 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"from sklearn.metrics.pairwise import euclidean_distances\n", + "\n", + "X,y = datasets.make_blobs(n_samples=100, centers = 4, random_state = 1 )\n", + "\n", + "plt.scatter (X[:,0], X[:,1])\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "

" + ] + }, + "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='complete')\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": [ + "[2 3 2 3 1 1 4 4 4 2 4 4 3 4 2 4 4 2 1 1 2 2 2 3 1 4 4 2 3 1 1 2 1 3 2 1 2\n", + " 4 3 2 2 4 4 3 2 1 2 3 2 1 3 1 1 3 4 2 1 1 2 3 4 1 3 3 4 2 4 3 4 1 3 2 2 4\n", + " 3 1 3 2 4 1 3 2 2 2 4 1 1 1 1 3 1 4 1 3 3 2 4 4 3 4]\n" + ] + } + ], + "source": [ + "T = fcluster (mergings,7, 'distance')\n", + "print (T)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 10))\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": [ + "[[-1.56129966 4.21898437]\n", + " [-7.07614521 -7.97322589]\n", + " [-9.96347347 -3.48454825]\n", + " [-5.80277079 -3.06555518]]\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": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize = (10,10))\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": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "objects of cluster #i: (array([ 4, 5, 18, 19, 24, 29, 30, 32, 35, 45, 49, 51, 52, 56, 57, 61, 69,\n", + " 75, 79, 85, 86, 87, 88, 90, 92], dtype=int64),)\n", + "-1.5612996617417532\n", + "Dataset: [[-8.92286405e+00 -6.91706407e+00]\n", + " [-1.02200406e+01 -4.15410662e+00]\n", + " [-6.19599603e+00 -7.40281646e+00]\n", + " [-8.86608312e+00 -2.43353173e+00]\n", + " [ 8.52518583e-02 3.64528297e+00]\n", + " [-7.57969185e-01 4.90898421e+00]\n", + " [-5.11445720e+00 -2.71929274e+00]\n", + " [-4.94333866e+00 -3.37609332e+00]\n", + " [-6.41124052e+00 -3.20783965e+00]\n", + " [-6.26302115e+00 -8.10666081e+00]\n", + " [-5.28846058e+00 -2.87525156e+00]\n", + " [-6.92171246e+00 -2.18729857e+00]\n", + " [-8.79879462e+00 -3.76819213e+00]\n", + " [-6.25738636e+00 -4.21080419e+00]\n", + " [-5.79112625e+00 -6.18612636e+00]\n", + " [-5.99413070e+00 -3.16189816e+00]\n", + " [-5.77161096e+00 -1.79555958e+00]\n", + " [-6.98706106e+00 -7.53484784e+00]\n", + " [-2.33080604e+00 4.39382527e+00]\n", + " [-1.60875215e+00 3.76949422e+00]\n", + " [-6.21872154e+00 -9.01274405e+00]\n", + " [-8.43799950e+00 -7.83806871e+00]\n", + " [-7.10357769e+00 -9.76900046e+00]\n", + " [-9.83767543e+00 -3.07717963e+00]\n", + " [-1.97451969e-01 2.34634916e+00]\n", + " [-5.71203468e+00 -2.84804837e+00]\n", + " [-3.74647007e+00 -3.33742024e+00]\n", + " [-6.02605758e+00 -5.96624846e+00]\n", + " [-1.06177133e+01 -3.25531651e+00]\n", + " [-2.80207810e+00 4.05714715e+00]\n", + " [-1.98197711e+00 4.02243551e+00]\n", + " [-7.25145196e+00 -8.25497398e+00]\n", + " [-2.35122066e+00 4.00973634e+00]\n", + " [-1.02066067e+01 -3.36672536e+00]\n", + " [-6.83238762e+00 -7.47067670e+00]\n", + " [-2.40671820e+00 6.09894447e+00]\n", + " [-6.27207532e+00 -8.77675883e+00]\n", + " [-5.77958445e+00 -3.26348862e+00]\n", + " [-1.03729975e+01 -4.59207895e+00]\n", + " [-5.94346448e+00 -7.74432757e+00]\n", + " [-8.29494032e+00 -7.60269061e+00]\n", + " [-5.46384410e+00 -2.04434336e+00]\n", + " [-4.37013706e+00 -1.97772876e+00]\n", + " [-9.57421815e+00 -3.87600848e+00]\n", + " [-6.32432573e+00 -9.10692871e+00]\n", + " [-5.25790464e-01 3.30659860e+00]\n", + " [-6.54430585e+00 -9.29756949e+00]\n", + " [-1.06683748e+01 -3.57578476e+00]\n", + " [-6.71433620e+00 -9.46551152e+00]\n", + " [-7.58703957e-01 3.72276201e+00]\n", + " [-1.14418263e+01 -4.45781441e+00]\n", + " [ 2.42271161e-04 5.14853403e+00]\n", + " [-1.92744799e+00 4.93684534e+00]\n", + " [-9.81115111e+00 -3.54329690e+00]\n", + " [-6.02599661e+00 -3.38542661e+00]\n", + " [-7.37499896e+00 -1.05880659e+01]\n", + " [-1.34052081e+00 4.15711949e+00]\n", + " [-1.35938959e+00 4.05424002e+00]\n", + " [-8.26415022e+00 -7.28988279e+00]\n", + " [-1.04448411e+01 -2.72884084e+00]\n", + " [-4.08409604e+00 -4.98514638e+00]\n", + " [-2.76017908e+00 5.55121358e+00]\n", + " [-9.50919436e+00 -4.02892026e+00]\n", + " [-9.79941278e+00 -3.83433990e+00]\n", + " [-6.23112678e+00 -3.31509970e+00]\n", + " [-5.43723143e+00 -7.81521641e+00]\n", + " [-7.54735453e+00 -2.77523774e+00]\n", + " [-9.48478268e+00 -4.25144138e+00]\n", + " [-6.38524280e+00 -3.70614752e+00]\n", + " [-1.61734616e+00 4.98930508e+00]\n", + " [-1.03415662e+01 -3.90975169e+00]\n", + " [-8.15979403e+00 -7.98384567e+00]\n", + " [-7.33110069e+00 -8.12061356e+00]\n", + " [-6.83710120e+00 -1.13390738e+00]\n", + " [-9.71212518e+00 -3.06820738e+00]\n", + " [-1.85139546e+00 3.51886090e+00]\n", + " [-1.03039165e+01 -3.12537390e+00]\n", + " [-6.53541686e+00 -8.01552689e+00]\n", + " [-5.59472593e+00 -3.40858706e+00]\n", + " [-7.94152277e-01 2.10495117e+00]\n", + " [-9.59422086e+00 -3.35977002e+00]\n", + " [-7.81213710e+00 -5.34984488e+00]\n", + " [-7.24580249e+00 -8.75714873e+00]\n", + " [-9.68207756e+00 -5.97554976e+00]\n", + " [-5.67247649e+00 -2.66850326e+00]\n", + " [-2.34673261e+00 3.56128423e+00]\n", + " [-1.83198811e+00 3.52863145e+00]\n", + " [-1.53940095e+00 5.02369298e+00]\n", + " [-1.78245013e+00 3.47072043e+00]\n", + " [-9.76761777e+00 -3.19133737e+00]\n", + " [-2.77687025e+00 4.64090557e+00]\n", + " [-5.61574598e+00 -4.71622380e+00]\n", + " [-1.46864442e+00 6.50674501e+00]\n", + " [-9.15872909e+00 -3.02224647e+00]\n", + " [-9.87589123e+00 -2.82386464e+00]\n", + " [-7.08949914e+00 -8.92838972e+00]\n", + " [-5.83343133e+00 -3.18894069e+00]\n", + " [-6.79189023e+00 -4.08581229e+00]\n", + " [-1.07521104e+01 -2.70048039e+00]\n", + " [-6.67567396e+00 -2.26477984e+00]]\n", + "centroids: [[-1.56129966 4.21898437]\n", + " [-7.07614521 -7.97322589]\n", + " [-9.96347347 -3.48454825]\n", + " [-5.80277079 -3.06555518]]\n", + "Number of centroids: 4\n", + "Number of obj in cluster #i: 25\n" + ] + } + ], + "source": [ + "c1 = np.where(T==1)\n", + "print ('objects of cluster #i:' ,c1)\n", + "s = np.mean(X[c1,0])\n", + "print (s)\n", + "print ('Dataset: ' ,X)\n", + "\n", + "print('centroids: ' ,mu)\n", + "print('Number of centroids:', np.shape(mu)[0])\n", + "print('Number of obj in cluster #i:', np.shape(c1)[1]) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(array([ 4, 5, 18, 19, 24, 29, 30, 32, 35, 45, 49, 51, 52, 56, 57, 61, 69,\n", + " 75, 79, 85, 86, 87, 88, 90, 92], dtype=int64),)\n", + "25\n", + "0 custer dist: [[43.11598405]]\n", + "1 custer dist: [[67.14489804]]\n", + "2 custer dist: [[16.25475117]]\n", + "3 custer dist: [[38.36151505]]\n", + "Summary of squared cluster dist: [[164.87714831]]\n" + ] + } + ], + "source": [ + "#Сумма квадратов расстояний до центроида\n", + "\n", + "#print (X[c1,:])\n", + "print(c1)\n", + "\n", + "print(np.shape(c1)[1])\n", + "#print ( 'dist between 2 points', euclidean_distances(X[c1[0][0],:].reshape(1,-1), X[c1[0][3],:].reshape(1,-1)))\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" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# K-means" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2 0 2 0 1 1 0 0 0 2 0 0 0 0 2 0 0 2 1 1 2 2 2 0 1 0 0 2 0 1 1 2 1 0 2 1 2\n", + " 0 0 2 2 0 0 0 2 1 2 0 2 1 0 1 1 0 0 2 1 1 2 0 0 1 0 0 0 2 0 0 0 1 0 2 2 0\n", + " 0 1 0 2 0 1 0 0 2 0 0 1 1 1 1 0 1 0 1 0 0 2 0 0 0 0]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n" + ] + } + ], + "source": [ + "model = KMeans(n_clusters=3)\n", + "model.fit(X)\n", + "all_predictions = model.predict(X)\n", + "print (all_predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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P+lDPG916ommlojdmXnL0MNp98wUmr12F2Xt2YeaWTej5f7Px5IqlyLte0bi0jCYTZu/ZZXNwTEqJRYcOluk+VBATHCIicqk3N6xDrtFQaGgpf77My2tX2VXk773N/+DXI4cKvS4AhOp06GqlJ2j96VOY+Odyy9YMhhuWmS9POIYXVpdtH6w1p0/CYKPGT74zaallug8VxASHiIhcJikjHf/YWP0kAaTm5mLtqZM2r3MuPQ2zdmyzeo1MvR6fbd9a5PEPt26yulmlKiX+OHYEJ69dtXl/W5YcOVxsGwmUy27jFRkTHCIicpmk9PRi22iEwNn0VJttfj18yOaeSyYp8evhQ4V6gpIzM7DvYjJs9a9ohMCKhOPFxmnNyVT7kqM769Yr9T2oME4yJiIilwn18yu2jUlKhOpst7uQmWFecWWjrkyeyYi0vFxEBwRaXsvS64u9vyIEMvV5NtscSrmEFQnHkKXXo2Z4BO6u1wAh13tkQnV+ELC9jN1fq0Xz2MrFxkL2Y4JDREQuc0tEJOqER+DEtatWEwAfRUGv2nVsXifC37/YonlaRUGIb8FhoEpBwfDVaGzO8TGoKmqGhRd5LEuvx1Mrl2Ht6ZPQCAEhBEyqiv9tXI8ZPW7HgPoNcect9bHjfJLN2B5u0arMO5Yfu3IZvxw+iAuZGYgKCMS99RuicUylMl3Tk3GIioiIXEYIgec73mazd+PRVm0R5udv8zoD6jW0WcVYIwT61b0FOm3B3+uDfH0xoF4Dq/tgCZh3Fr/jlvpFHn9q5TL8feYUAHNPk1FVIWHuLXr2rxXYeOY07qnfEFWCQ4q8hyIEIvz8MaJZS5s/ny2qlHhl3Wr0mfs9vtu9E8uPH8OPe/fgrvk/4qmVy+zehd1RsvR6nE1LQ3qe7V6v8sYEh4iIXOr22nXwQa9+CPb1BWBORgTMPS6Pt26Hp9t3LPYadSMjcV+DRkVOFlaEgE6jxYQ27Ys899kOnRATGFQoAcmf0zOjRy8E+PgUOu9wyiWsPX0SqpXESgiBj7dtRqCvL34aeD/qREQCALRCgVYxf/1WCwnBvIH3IyogoNif0ZpPt23B3P17AZiTLFVKGKV5VtHSY0cw45/1pb52SZxJTcUzfy5Hi68+Q5fvv0HLrz7Do0sX43DKJafc/2ZCVsCNMNLT0xEaGoq0tDSEhIS4OhwiIgKQazTgrxMJOJeejnB/f/SuXQcR/vZ/8RtMJrz97wZ8v3d3gd6cmmHh+LB3P6s1cAAgJSsL72/+B4uPHrb0eLSMrYKn2nfAbdVrFHnOB5v/xRc7ttrsOQKA7Y+MQ2RAAKSU2JZ0DpvOJUKVEq0rV8Vt8TVsTo4uTo7BgHbfzkKmjblEPoqCLaMfQ7i/7V6wsjh57Sru/XkesvT6Au+HRghoFQ3m3TsILSpXKfN9SvL9zTk4RETkFvy0PrjLRqG+4mgVBYG+vpbJxooQUKXExaxMHL1y2WaCEx0YiLd69sYrnbvhYlYmgnx9ERMYhIuZmXh65TJsOpeIXKMRsYFBGNW8Je5p0BBZBn2xE5sBINtgQCTMPTrtqsWhXbW4Uv+MN9txIclmcgOY5xBtTDxdpve2OFPWri6U3ADmHiWpmvDsqhVYM+zhMs8zKgkmOERE5BU+2bYFn2zbYnmeP3SUbTDgxdV/ItDHB/2KWYod6OuLWr7m7Rl+Prgfk9f8VWB+UIL+Kl5etxpv/bsB99RvCGMxBfz8tT6ICQy02aYs7K2ynFeO83BOp17DlqSzVo+rUuJ0aiq2n09C26rVyi2Om3EODhERebz0vDx8saPoQn753v53Y7ErrfJtSzqHSTclNzfK0Ovxw749NoeXNELg/kaNC01sdqR6kdF2tWsQZV+70jh57Zqd7UpfLLE0mOAQEZHHW3vqRLG9FGfT03DQzgmvH2/dZFe7/F6imxMdjRCICw3Fk2072HWd0ooLDcVt1eOtrgLTCIHG0THlulw8sIgJ2EUpaqJ2eWKCQ0REHi81N9fqdgs3tyuO3mTCpnPWh1xu5qMoaF7pvyJ9AT4+GNa0OX69f2i5TuzN97/uvRDpH1AoydEIgUBfX7zfq5/ltTyjEcuPH8Xn27di7v69SMnOKvP9W1augohilvH7ajRW9wIrL5yDQ0REHi8uNNRmLR1Lu5DQYtsYSjhfxaCqeKx1G7SqXBXZBgOiAgLKdVjqZlVDQvD7kIfw1c4d+PnQfmTq9fDTajGwQSM82qoNql3/mVckHMNLa1YhLS8XmusTsKf9vQYjm7XEpE6doVFK1+fho9HgiXbt8dr6dVbbPNy8FUKKqUbtaExwiIjI43WJr4mogABcyc4uMtHRCIFWlasiPiys2GsF+PigUmAQLmZl2n1/vcmEcH9/p/TYFCUmMAhTOnfFy7d1QbbBAH8fnwLDZhvPnMaE5X9YnuevdjJJie/27ISExJTO3Up9/+FNWyA9Lw8fbd0MwDxkJ6/X5HmoaXM82+HWUl+7tJjgEBGRx9MqCmZ074VHly2BkLLA5pkaIaDTajG1a3e7riWEwKjmLfHWvxvsvn/D6JgSRlw+xPVhqZu9t/kfCKDITUUlgDl7d2NsqzaICQwq9X2faNsBgxs1wZKjh3EhIwORAQG465YGiAstvtesPHAODhEReYUetWpjzt0D0eiGCbUCQMe46lg0aEiJVhKNaNYCbapULbadRgh0iquOGlb2qnIHZ9PSsP/SRZs7pkspsSLhWJnvFRMYhDEt2+DVLt0xvk17lyU3AHtwiIjIi3SqHo9O1eNxOvUaruXkoHJwMGKDgkt8HZ1Wix8G3Ifvdu/ErJ3bkFFEMT2NEIgOMBcIdGepecVPrNYoil0TsD0JExwiIvI6NcLCy9yrotNqMa5NOzzWui0S09Iw78BeLDp0ENdycxDh74/BjZpgVPNWZdpHyhkqBwVbqjpbY1RVVA8Jc15QTsAEh4iIyAYhBOLDwjC5UxdM7tQFUkqnbjlQVlEBAehRsxbWnjppdd+sAB8f9KlT18mRlS/OwSEiIioBT0pu8k3q1AWBvr6FauXkP3uja0/4O7kQX3ljgkNEROTlaoaF49f7h6JLfM0CBRHrRETiy/53454GDV0WW3nhEBUREVEFUCs8At/cdQ8uZWXiXHo6QnU61AqP8MgeKXswwSEiIqpAYgKDSl3vxpNwiIqIiIi8DhMcIiIi8jpMcIiIiMjrMMEhIiIir8MEh4iIiLyOyxOcGTNmoE2bNggODkZMTAwGDBiAo0eP2jxnzpw5EEIUePj5+TkpYiIiInJ3Lk9w1q9fj/Hjx2PLli1YtWoVDAYDevXqhaysLJvnhYSE4MKFC5bHmTNnnBQxERERuTuX18FZuXJlgedz5sxBTEwMdu7cic6dO1s9TwiB2NjY8g6PiIioQjudeg2/HTmEy9nZiA4IxL0NGqJ6aJirwyqWyxOcm6WlpQEAIiIibLbLzMxEfHw8VFVFy5Yt8b///Q+NGjUqsm1eXh7y8vIsz9PT0x0XMBERkRdSpcQbG9bh+727obk+HURKiU+2bcbI5i3x8m1dobhxFWSXD1HdSFVVPP3007j11lvRuHFjq+3q1auH7777DkuWLMGPP/4IVVXRsWNHnDt3rsj2M2bMQGhoqOURFxdXXj8CERGRV/h462Z8v3c3AMAkJYyqCpOUkABm79mFz7ZvcW2AxRBSWtk73QXGjRuHFStW4J9//kG1atXsPs9gMKBBgwYYMmQI3njjjULHi+rBiYuLQ1paGkJCQhwSOxERkbfI0uvR9psvkGM0Wm0T4OODbY+MQ4ATdyFPT09HaGioXd/fbjNENWHCBCxduhQbNmwoUXIDAD4+PmjRogUSEhKKPK7T6aDT6RwRJhERkdfbdDbRZnIDANkGA7acO4vuNWs5KaqScXmCI6XEE088gd9++w1///03atasWeJrmEwm7N+/H/369SuHCImIiNxXUkY65u7bi1UnE6A3mdCsUiyGNWuONlVK1llwo2yjwa52OQb72rmCyxOc8ePHY968eViyZAmCg4ORnJwMAAgNDYW/vz8AYPjw4ahatSpmzJgBAHj99dfRvn171KlTB6mpqXj33Xdx5swZPPLIIy77OYiIiJxty7mzePj3X2EwmWC6PuPkfEY6lh4/iifbdsDT7TuW6rp1IyLtalcn0r52ruDyScZffPEF0tLS0LVrV1SuXNnyWLBggaVNYmIiLly4YHl+7do1jBkzBg0aNEC/fv2Qnp6OTZs2oWHDhq74EYiIiJwuLTcXY/74DfobkhsAlv/+eNtmrDl5olTXbhgdgyYxlaCxskpKIwSax1ZGvcioUl3fGdxqkrGzlGSSEhERkTv6bvdOTN/4N6x9iStCoE2Vqvhp4OBSXf/I5RQMXjQf2QZDgQRKIwQCfXyxcNAQ1HVyD05Jvr9d3oNDREREJbftfNGlUfKpUmLH+SSUth+jflQ0ljzwEO6q1wA+ijld8FEU3F2vAZY88JDTk5uScvkcHCIiIio5gfIvslcjLBzv9+qL6d17Ij0vD6E6P+i0npE6sAeHiIjIA7WtanuVlEYItKlSDcIB1Yb9tD6ICQzymOQGYIJDRETkkQY2aIgAH1+r2yWYpMTolq2cHJX7YIJDRETkgUJ0fvjmzgHQaTQFkpz8lU9Pt+uIHjVruyo8l/OcviYiIiIqoF21OKwe9jDmHdiLVScSkGcyoVlsLIY3bYGWlau4OjyX4jJxLhMnIiLyCFwmTkRERBUaExwiIiLyOkxwiIiIyOswwSEiIiKvwwSHiIiIvA4THCIiIvI6THCIiIjI6zDBISIiIq/DBIeIiIi8DhMcIiIi8jpMcIiIiMjrMMEhIiIir8MEh4iIiLwOExwiIiLyOkxwiIiIyOswwSEiIiKvwwSHiIiIvA4THCIiIvI6THCIiIjI6zDBISIiIq/DBIeIiIi8DhMcIiIi8jpMcIiIiMjrMMEhIiIir8MEh4iIiLwOExwiIiLyOkxwiIiIyOswwSEiIiKvwwSHiIiIvA4THCIiIvI6THCIiIjI67hFgvPZZ5+hRo0a8PPzQ7t27bBt2zab7RcuXIj69evDz88PTZo0wfLly50UKREREXkClyc4CxYswMSJEzF16lTs2rULzZo1Q+/evXHp0qUi22/atAlDhgzB6NGjsXv3bgwYMAADBgzAgQMHnBw5ERERuSshpZSuDKBdu3Zo06YNPv30UwCAqqqIi4vDE088gUmTJhVqP3jwYGRlZWHp0qWW19q3b4/mzZtj1qxZdt0zPT0doaGhSEtLQ0hIiGN+ECIiIipXJfn+dmkPjl6vx86dO9GzZ0/La4qioGfPnti8eXOR52zevLlAewDo3bu31fYAkJeXh/T09AIPIiIi8l4uTXAuX74Mk8mESpUqFXi9UqVKSE5OLvKc5OTkErUHgBkzZiA0NNTyiIuLK3vwRERE5LZcPgfHGSZPnoy0tDTL4+zZs64OiYiIiMqR1pU3j4qKgkajwcWLFwu8fvHiRcTGxhZ5TmxsbInaA4BOp4NOpyt7wEREROQRXNqD4+vri1atWmHNmjWW11RVxZo1a9ChQ4ciz+nQoUOB9gCwatUqq+2JiIio4nFpDw4ATJw4ESNGjEDr1q3Rtm1bzJw5E1lZWRg1ahQAYPjw4ahatSpmzJgBAHjqqafQpUsXvP/+++jfvz/mz5+PHTt24KuvvnLlj0FERERuxOUJzuDBg5GSkoJXX30VycnJaN68OVauXGmZSJyYmAhF+a+jqWPHjpg3bx6mTJmCl156CXXr1sXixYvRuHFjV/0IRERE5GZcXgfHFVgHh4iIyPN4TB0cIiIiovLABIeIiIi8DhMcIiIi8jpMcIiIiMjrMMEhIiIir8MEh4iIiLwOExwiIiLyOkxwiIiIyOswwSEiIiKvwwSHiIiIvI7L96IiIveUlZ6NCycvwi9Ah6p1K0MI4eqQiIjsxgSHiApITUnDt5PnYc3cDTDkGQEA1W6pjGGvDkL3obe5ODoiIvswwSEii/QrGXiq48tIPp0C1aRaXj93/AJmPPQxrlxIxaBn73RhhERE9uEcHCKy+GnGb4WSGwCANP/xzaQfcfn8VecHRkRUQkxwiAgAYDKasPybNYWTm5us+n69kyIiIio9JjhEBADIuJaJ7PRsm22EEDifcMFJERERlR4THCICAPgH+UFRil8pFRgW6IRoiIjKhgkOEQEAdP46dLirDRSN9Y8Fk9GEbg/c6sSoiIhKhwkOEVk8OGUgFEVAFNGTo2gUtO3bAvXa1HFBZEREJcMEh4gs6rashenLXkJIZDAAQOOjsfTo3HpPW0z5eaIrwyMispuQUkpXB+Fs6enpCA0NRVpaGkJCQlwdDpHbMRqM2Pz7Dpw+cBa6AF90vLsNqt1SxdVhEVEFV5LvbyY4THCIiIg8Qkm+vzlERURERF6HWzUQkUe7nHQFqSnpiKwcjvBKYa4Oh4jcBBMcIvJIhzYfxTeT52L/hsPmFwTQtm8LjHl7GGo0inNtcETkchyiIiKPs3vtfkzsMhUH/zny34sS2PHnXjzRfjJO7jvjuuCIyC0wwSEij6KqKt4b/QVUVYWqFlwjoZpU6HMN+Ojxr10UHRG5Cw5REZFH2bPuIC6dSbF6XDWpOLTpKM4eTUJcvapOjMxxpJQ4+O8R/PPrVuRk5qJ6g2q4fXgXS30iIioeExwi8ijnE5Lta3fiYqEER0qJYztP4lpyKiKrhKNOi5oQovj9t5wp41ompg54B/s3HoZGqwFg7rX6ZvJcPD1rLHqP7ObiCIk8AxMcIvIoQWEBdrULDC3YbuvyXZg1cQ7OHftvN/S4+lUx/qNRaHV7M4fGWFpSSrw28F0c3HQUgHnvr3xGvRHvjf4cEZXD0aZ3cxdFSOQ5OAeHiDxKm74toPP3tdkmsko4GrSva3m++Y8deOXOt5B0vGDvz7lj5zG573Rs/3NPeYRaYoe3Hsfevw9BNalFHleEgnnTf3FyVESeiQkOEQEA0q9kYOmXq/DjG4uwcvY6ZKVnuzqkIgWGBGDI5Httthn15hBoNP8N73wy4RsAEjcXbpeqBCTw6RPfFjrmCpsWb7MMSxVFVVUc+OcI0q9mODEqIs/EISqiCk5KiXnTf8WPby6CyWCColFgMpnw6YRvMOadYbh7fB9Xh1jI0JfvhT5XjwXvLIaqSnPMRhN8dD4Y89ZDBeap7Ft/CClnr1i9lpQS5xOScXjLMTTsUM8Z4VuVm5UHe6YE5WXrgYjyj4fIkzHBIargfn73d8x5db7lef68j7wcPT594lv4BeosCcPBTUex6IM/sOPPPVBNKhq0vwX3PtUfHe5q7dTJukIIjHpzCAY82Q/rf96E1EtpiImLQpf7OyAwNLBA25Rz1pObgu2ulkeoJRLfKA7GG+bdFCUwNABhMdxDj6g4THCIKrCcrFzMfXORzTbfvfwTeg7rjD9n/40PH50FjUaByWieI7J/42Hs/fsgBj17J8a8M8zpK5LCY0IxYEJfm23CYkLtupY7JA3dh3bCl899j7wcPVDEiJmiUdB/7O3w8fVxfnBEHoZzcIgqsB0r9yAnM9dmm6sXrmH9z5sx87EvAQlLcgPAMhl24ft/YNuK3eUaa2m16N642CQnqloEGneq76SIrAsMCcDzsydACAFFU/DjWdEoqNEoDkNftj3/iIjMmOCQV5JS4tDmo/j0iW/xvwdn4tuX5iEp4ULxJ1YwGdey7Gq3/udNNntnFI2CxR8vd1RYDqX10WLsO8Nstnn03eGWScmu1mVQB7y3dhpa9mhieS04PBCDX7gbH258A4Eh9i2TJ6roOERFXicvJw9vDv4QW5buhEarsayOmf/Wb3jgxQF4+H9D3a64m6tUqV3JrnYXT6dYXboMmHtyDm877qiwHO724V2gqiq+fO4HZFzNtLweGhWMcR+OQtfBt7owusKadm6Ipp0bIiczB7nZeoREBrlNAkbkKVzWg3P69GmMHj0aNWvWhL+/P2rXro2pU6dCr9fbPK9r164QQhR4PPbYY06KmjzBzEe/wrbluwCYJ8yqJtXy5Tz/7cVY8ulKV4bnVpp2aYhKNaIhlKITPkWjoF6b2gi0o7ie1sbyZnfQe2Q3LDj/FV5f8iKenjUWb/w+CfOTvkKPB29zdWhW+Qf5IzwmlMkNUSm4rAfnyJEj5t+ovvwSderUwYEDBzBmzBhkZWXhvffes3numDFj8Prrr1ueBwSwy5bMLiWmYM3cjTZrmsyb8SvuHNfLZr2RikJRFEz8ehxe6jsdEgU3r1Q0Cnx8tXjy8zHYs/YA9m88bK4bUwSNVkH7O1o5K+xS8/H1QYc7W7s6DCJyApf14PTp0wezZ89Gr169UKtWLdx111147rnn8OuvvxZ7bkBAAGJjYy2PkBDXr34g97B12S4UufzkBteSU5Gw+5RzAvIALXs0wXtrp6JBh1sKvN68WyPM/PdN3NKqNvo83B0Bwf6FJr4CAAQgJXDPU/2dFLFtqqpCn6t3i8J9ROQ6bjUHJy0tDRERxVevmjt3Ln788UfExsbizjvvxCuvvFKhenFMJhN2rzmA5FOXEBwRhLZ9m8M/yN/VYbmFvBw9hBDFfrnpcw1OisgzNO7UADM3vomLZ1KQeikNkVXCEVU10nI8JDIYM1ZOweS+byI7Lcfy/iqKAkUjMOnHp1C7WQ0XRW926kAiFryzGOt/3gyj3oiIyuG4a1xv3Pt0P4f8+zCZzMOdXKJN5BncJsFJSEjAJ598Uuzw1NChQxEfH48qVapg3759ePHFF3H06FGbPT95eXnIy8uzPE9PT3dY3M62bcVufPjol7h8Q/Eyv0AdHnplEO5//q5Ck2dVVcWmJdux7KtVOHfsAkIig9HjwdvQe2TXQgXRvEGtZjUKDLMURaNVEFe/ipMi8iyV4qNRKT66yGMN2tXFjyc/x1/f/42dq/bCZDChYYd66DemR4FkyBX2rj+IyX2nQzWaLMvYr164hh+mLcDGXzbj/fWvl3r10d6/D2L+24uxc9VeSFWiWr0quPfJfug3tifnxhC5MSEd3I87adIkvP322zbbHD58GPXr/1dzIikpCV26dEHXrl3xzTfflOh+a9euRY8ePZCQkIDatWsX2WbatGl47bXXCr2elpbmUcNbe9YdwIu93oBUC++pA5j33xn60n81MowGI964/wNsWrIdikaxTLQVQiA6LhIfrH/d6peZp1JVFaPqPYlkK6t+FK2Czve1x8vznnFBdKW3d/1B/PbRcuz9+wAgBFr2aIJ7nuqPxre6vnaLqxn0BgyJewwZVzKKTG4VjYK7Hu+N8R89XOJrr/h2DT4YOwuKcuO/H/MgaKd72mLKgolMcoicKD09HaGhoXZ9fzs8wUlJScGVK7ZLo9eqVQu+vubdgM+fP4+uXbuiffv2mDNnDhSlZNOCsrKyEBQUhJUrV6J3795FtimqBycuLs7jEpzxbSfh+K6TVid6+ui0+PnCNwgKM/fMfD91Aea++UuRyZBGq6BW03h8tv3tUi2ZllJi4y9b8OtHy3B0+wloNAra9GmO+569C406unY/n6PbE/Bc92kw5BkKFKVTNApiqkfh403TEV4pzGXxldTC9//AV8//AI32vwrC+f89/uOHi63k6+02LNqMN+7/wGYbv0AdFl78Fn4BOruvm3LuCh6q+bjN5fHPfPko+o3pafc1iahsSpLgOHyIKjo6GtHR9vUKJCUloVu3bmjVqhVmz55d4uQGAPbs2QMAqFy5stU2Op0OOp39H2zuKCnhAo7tOGGzjUFvxD+/bkWfh7tDn2fA4k9WWJ2LYjKqOL7rVKk2GJRS4rMnv8OSz1ZCUQRUVcIIYPMfO/DP4m149utx6PNw9xJd05HqtamDz3e8jQVvL8ban/6BIc+IoLBA9BvTE/c/fxdCozwnqT289Ti+ev4HAAUrCOf/92dPfYfGneqjTvOaLonPHWxasr3YNrlZebh4+hLiG8YVefzimRT88uFSrJm3EdnpOahcMwaV4qNtzuUSQmDxpyuY4BC5KZfNwUlKSkLXrl0RHx+P9957DykpKZZjsbGxljY9evTADz/8gLZt2+LEiROYN28e+vXrh8jISOzbtw/PPPMMOnfujKZNm7rqR3GK1EvFzxvSaBSkXkoDACQePofMVNtVahWNgn3rD5U4wfnnt21Y8pm5lsyNQwL5X7ofjp2FZt0aoXJN+4rIlYe4elXx3Hfj8czXj0Gfo4dfoJ9HFvdb8tmKAj03N9NoFPz++Z+Y+FXFrAWVsPsU1s3/1662vn6+Vq/xXPdpyMnKhXr9fT537ALOHj1v83pSSpw+eBZSSo/8u0Xk7VyW4KxatQoJCQlISEhAtWrVChzL/63JYDDg6NGjyM7OBgD4+vpi9erVmDlzJrKyshAXF4eBAwdiypQpTo/f2aKrFb+6zGRUER0XVe6xLP5keYE5PYUIgWVfrsIjbz3k8HtLKZGVlg2hCLsmjWo0Go9eYXZg4xGryQ1g/n9+YONhJ0bkXub971cUVxYAAqhWtzJia8YUOmQymTDt3neRk5lb4O+zvSP3Wh8NkxsiN+WyBGfkyJEYOXKkzTY1atQo8EETFxeH9evXl3Nk7immejSadW2E/RsPW00s/IP80HFAGwBA9QbVEBQWaLMXRzWpaNK5YYljObbjRPFl+7cex6XEFGRn5CI6LrLM++eoqoplX63GLx8uRdJx855StZvF4/4XBqDbA7d67ZeMoi1+2FbjUzEnuerzDPh38TaopmKSEQkMfXlgkX9Hdv61DxfPpBRxUvE0WgUd7mLRQCJ3xc02Pcij7w2H1lcLxUpZ/cfeHwH/QD8AgK/OB3dP6GP1i1/RKqjToibqtKyJnKzcEhVF09rxhXp810k8WONxjGkyEffFjMa7oz7DlQvX7L7HjaSUeH/0F/j48a8LbJh5cn8iZjz4Eb57+adSXdcTtOvX0maSo2gUtO3b0okRuY/crFybiXa+Oi1r4vZhXYo8dnR7QukqWl8vbjjo2btKfi4ROQUTHA9St2UtfLD+ddRtVXA5fHRcJCb/+GShyY4PvXIf2t1h/vK7sQKtEALB4YHQBfjijoAHcVfwMIyo+wR++3g5TEZTsXG0698KmmJ6FnIyci3/bdQbsWbuBkxoN7lUSc6mJdvx1/d/m5/ckIflryab/9ZvOOLGGz2Wxd3j+0ARAigiTxVCQKNVcOe4Xs4PzElOHzyLDYs2Y9uK3cjLyStwLDA0AIGhtnsGhSLQaUA7q8d9fLV2J/eKRoGiCAhFQOujxUvznkb9tnXtOpeInM/hy8Q9QUmWmbmrM4fOWioZ129X1+oKNJPJhE2Lrxf6O34BIRFBqFI7FusXbi44j+b6d2i7/q0w7dfnbf5We3zXSUxoN9mu355vpGgV9B7RFRO/Hlei817s9Tr2rDto9X4arYIeD3XG89+NL9F1PcWmJdvxxuAPCmwaqigCWl8tpv7yPNr2beHiCIuWnZGDLX/sQNrlDMRUj0Lbfi3srgJ85tBZvD9mFg5vPmZ5LSDEHw+8eA+6DbkVy75chZ2r9yHl7BWkpqRZnYajKAI/nv4C0dWKLkSYsOcUxrV8wWYsUdUiMPadYdi+cg8MeQbUaVELvUd1RVh0qF0/CxE5jkvr4HgCb0hwbqaqKnb+tRdHt5+A1leLNn2aF1k6/9LZyxhW83Hr1X4F8NTnY3HHo7fbvN/30xbgx9cXlThOH50Wv6R8V6KJv4NiH7GsDrOmVrN4fLnbdhVsT5Zy7gqWf70ae/8+CAigRfcm6DemJyIrh7s6tEKklFj0wVJ8P3UB8rLzIBQBqUqERAbjiU9Ho+vgW22ef/5EMh5v8yJyMooeglI0AoCwnWALABIY8/ZDuP/5u23e77ke08xz26xM5matISL34dI6OOR8CbtP4bX73kPyqUvQaBVICXw7eS6ad2uMKQueKVD3ZcU3a8ylWK38yisgsPjT5cUmOIEhAXbt+XQzQ54RV85fQ7Vb7E9wdAFFL++9kX+QX4ni8DTR1SIx4rXBrg7DLos+WGqp3QP8N5SYfjUD04fOhK+fL9rf2QqHNh/DtYtpiKoagfpt61jmi/3f6wuRm2l9fo15UrHtv3dV61TGQ6/ch54PdS423lcWTMSLt7+OE3vPWHo185fm3/NkP9w9vo+dPzkRuRMmOB7u4pkUcw2PTPOclxuXFO/bcAiTer+JT7fOsAw5ndx3xuZvvlJKnDl4DmlX0hEaaT071vqW/q/Oxl+24LaB7VHtFvv2g+pyXwcs+nCp1biFEOg8sEOp4yHHycnMwfdTFxR9UJpz648e/xqfPf0dLp25bDlUtW5ljP/4YTTt3AB/z//X5tJ4mwQQERuOmf+8YfcQUmhUCD7b/jY2/b4Df8//BxnXslC1Tiz6jemJui1rFXu+yWjClQvX4OOr9ZgK2SaTCRsWbsHSL//C2aPnERQWiB4P3oY7Hr3dowphEtnCISoPH6L6/OnZWPL5Sqvd6wAw9Zfn0Oke80TL6UNnYsPCzcXOn9H6atB3dA88+t5w6PwLV4E+fyIZI+o+UaqY83t+2vZrgRd/eAIhEcE22188k4JHGj+DvBx9oW0qFI2C4IggzDn6sWWLCnKddfP/xf+GzizxeeL6ROoXv5+At4Z9UqYYFI2CoS/dizvH9cLGX7Yi81oWKteKwa33tC3y73Jp6XP1+GnGb/j9iz+RfjkDgLl0wZCXBqLLIPdNuA16A6YNfA/blu0quEedIhAaFYIP1r+GuHpVXRwlUdFK8v3NVVQebs28jTaTG0Wj4O8bKr12uLO1XZODjXoTln25Cq/c+VaRK6uq1I7Frfe0LbA6y175OfWOP/diUq83YTQYbbavFB+Nt/58xZLAaLQaS49UROVwvLd2GpMbN5F2Ob3Ue5tBArNfmV/mGFSTikXv/4EhcY/hsye/w/+9vhAzHvoYg6uMtbvqcXH0eQZM6vMm5k7/xZLcAObSBW8O/gDz317skPuUh5/+9xu2r9gNAAWLG6oS6Vcy8OqAd0o89EzkjpjgeLjstGybx1WTioxrmZbntw1sh8q1KtlVQE5VJXavPYBNv+8o8vgLcyagcafS72atmlQc33XSrr2EGnWsh5/OzsLzs8ej98iu6PNwd0yZ/wz+78SnqNGo6P2FyPliqkeV+stRSomLp0tXdO9mudl5UE0qpJSWBD0rPRv/e3Amti7fVebrL/3iLxzYeKRQj2L+829fmovzJ5LLfB9HM+gNWPzJcqsb9qomFeeOnsfutQecHBmR4zHB8XCViig/fyONVkHVOv9tROrj64O3V72C2Bq2z8unaBSs/G5NkccCgv3x7pqpeH72+CLrtNh7/dX/t8Gutjp/HXqN6IpnvnoMT88aiy73d4TWh9PI3Enbvi0QGmV7yNFlpHko7LuX5pW5h2LJ5yshbUx0VhQFy79eXaZ7lIek48nIuGZ7jzqNVsHBf444KSKi8sMEx4PlZuchqrLtPapMRhV9H+lR4LXKNSvhu0MzMfWX5+DrZ7suiWpScfGGyaA3S7ucgZ/fXVLsdkC2rn+tmCXg5Dm0Plo88dkYc12lm5Jed9hNQ6oSJ/edQVJC6XtXpJQ4n5Bs8++8alKReCSp1PcoL3b/P3CD/1dEZcUEx0Ppc/V4sdcb2P+P7Y0W73myX5ErQTRaDTrd067YlUyKIhBZOczq8beHf4Kzx6zvuuxXzPJtjVZBldqu23WcHK/LoA54Y8kkVL3p71a9tnURGFa2PckAYMw7wxBlZfNZYWUbk5tl3jBsW1JCCOj8bZcuUDSKW5YuqHZLFYRXsr26zGRU0aJ7YydFRFR+mOB4qBXfrsXhzUdtThge+MwdGPfhSJvX6T2qm81Joaoq0WtEtyKPJR5Jws6/9tqc5GzI1dv8bdBkVNF3dA/rDcgjtb+jFb47NBMv/fQ0bhvYHh3uao0W3RtjyOR7rJ8kYLUidz6tjwa9R3bF98c/xZ3jehXaFy2ufvGrf4QQiKkeZdfPYU3nQR1sbleimlTcNrB9me5RHjRaDe59+g6r/yY1WgW1m9dAo1tLP7eOyF1wAoOH+mPWnzaPa7QKstNzil3R0ufh7vj98z9x4dTFQomKolFQp3kNdB5U9Af1/g2Hio3TZFRRtW5lXDh5sXAyJoCu93dEs66Nir1OWZ07fgH7/j4IKSUa3VqfE5PLmUFvwLsjP8O6+f9aik9uW74LJqOK1r2b4djOkwVWH0VWCcf4jx7G9j/34M/v1hZZaVsoAn0e7m6p0/LkZ2Mw8vUHsGfdARj1RtRtVQsx1aMwuMpYZKVnFzmEpGgUtO3XAhGxZasAPei5u/D3gn+hqrLQhF2NVkFc/arocKd77jQ+6Lk7cfpAItbM3QhFq0A1qhDC/HZFVYvEa7+9UKqVcETuhgmOh0o+eQm25kmajCrOHbc+dJQvINgfH254HW+P+BQ7/9preV0IgY4D2uDZr8dZ3T/I3nmaY98djq3LdmLVD3/DkGdeEh4YGoB7nuyHh165r1w/TNMup+PtEZ9alsXma9atESb935OIqmJ7DhOVzhcTv8ffP28CgEJF+3b8uRcPTx+COi1q4mpyKqKqRqB598bQaDRo268FLp5Owa7V+yw1WvL/bNWzKR77YESBa4VEBqPzfQVrzjw9ayymD51p2SIin6JREBDij0ffK3iN0qjZuDre/GMy3hj8ATKvZUHro4GU5qJ/tZrVwJt/TCrdLuVOoNFo8OIPT6DnsC5Y9tUqnD2ShOCIIHQf0gk9h3Uu0TYqRO6Mhf48tNDf4CpjcDU51epxRVHQ/q5WeO1X2xsJ3ujcsfM4uOkohBBo1rURKsVH22x/5tBZPNJ4os02Pjof/HzhawSFBSIzNQtbl+/C1fNXUatZDTTr2qhcV0Hpc/WY0G4yzhw6V6j3SKNVUCk+Gp/vfAeBIWWfF0L/SU1JwwNVH7W5M31weCDmn/8avrrCybOqqtjx5178OWcdLp+7gui4SPQe2Q2tejUrdggr39bluzD75Xk4sfcMAHPC3v7OVhj77nBUq1u5mLPtl5eTh/U/b8bxXSfhq/NBuztaocltDdgDQlROuBdVBdDjwdvwy8xl1vfrUVV0f6BTkcdSzl3BX3P+xrnj5xEYEoAu93dE4071Ue2WKnZvnwAA8Q3j0LxbY+xZZ71mRs0mcQgKC8SZQ2fx0eNfY/+G/yZFh8WEYvi0+3HHo7eXyxfCuvn/4tT+xCKPmYwqLpy8hD9nr8O9T/V3+L0rsu0r99hMbgAg41oWDm85hmZdCg9PKoqCtn1blGmX9Hb9WqJdv5ZISriAjKuZqBQfXS7bKOSXLug1oqvDr01EZcMEx0MNeLIfVny7FtkZOYWSHEWrIL5BNdx6T9tC5/3yYf5GiOL6Ul6BJZ+tRLOujfDab88jMLRkFYHb9mthM8E5tuMktizdgbeGfWLZLytf6qU0fPz418hKzcIDk2xMPi2lVT+sLzRMcSMpJROccpCXrbernT7HvnZlcWMNKCKqWLiKykPFxEXh/b9fQ2wN8zCSRqtYtk1o3LE+3l71aqHhn78X/ItZz34PVZVQVRWqSbX8pr1/42FMH/pRieNYM3ejzaW5Gq2CLybOQY6N3aFnvzIfqSmOr4VzLTnVanKTrzzuW9HValq9+EYCiG9YrfyDIaIKiz04HqxW03jMPvoxdq3ejyNbj0Oj1aBNn+ao06JmobZSSvz4xiLLRpc3U00qtq/YjVP7z6Bmk3i7Yzh7JMlmEmEyqjifcNHmNVSTiomdX8X05S+hck3H1cSpVCMa545fsL4LuSJQKd6+is4VWdrldFxNTkVYdIhdwzwN2t+C+EZxOHskqcj3XtEqaN2rGWKq257jRURUFkxwPJyimL8sWvdqZrPdxTMpOHPonO1raRT8u3h7iRIcv0Ad9LkGq8dtDRHd6NyxC3ii/Uv4fMfbiIkrW42SfH0f6YntK/dYPS5ViX5jejrkXt7o9MGz+HbyXGxdtsuSFLfs2QQP/+9B1Gtd2+p5QghM+r8nMLHLq9Dn6AusolI0CsKiQ/HU52PKPX4iqtg4RFVB5Nkx30FVVfwycykm9X4D6xduLnaiKAB0GdTRZsEze5IbwNzDlHEtE/Om/2pXe3t0vLs1Wt3etMghNEWjoGGHW9B9aNETsSu6hD2n8ET7ydi2YneBHr896w7i6U5TcKCYCtp1mtfEFzvfwe3Du8JHZ/49yj/ID3eP72NOYtl7Q0TljMvEPXSZeEnlZufhvpjRyMvOK7Ztft2R5t0a482lk6Dz11lte+74BTzW/DkY8gyFirPlL8WuXDsWu9fst1l1OZ+vny8Wp86xWnunpPS5enwzaS6WfbXK0tOk9dWi98iuePS94az5YcUT7Sfj2M6TRf4/E4pAldqxmH3kI7tWv5mMJuRk5sI/2A9CCOxesx+rf9yA1EtpiK4WhT4Pd0OD9rdwaTURFask399McCpIggMAnz7xLf6Y9ZddiQZg/iK7a1xvTPhktM12+zYcwrR730XG1cwCBc/iG8Xhf8smI+1yBp669WVLkb/i/Hzha4cv6c1Kz8bR7ScAKVGnZU2ERLjpjtdu4PTBsxjTxHZ9IwD4cMPraNypgd3Xzc3Ow9QBb2PX6v3QaBWYjKrlzx4P3obnZ4932+J4ROQeWAeHijTyDXNZ+7NHz9uV5EhVYsW3azDqzQdsLh9v2rkh5p/7EhsWbcHRbQnQ+GjQtm8LNO/eGIqiIKZ6NN5ZPRWv3DkDmanZtm8qgIAQx/eqBIYEoGWPJg6/rjdKOn7BrnbnjieXKMH5aNxX2LPuIID/qhvn/7l23kZUio/GqDeHlDBaIqKicQ5OBRIUFoiP/n0Tg1+4G8ERQXado881mHs+iuHr54ueD3XG+I8fxmPvj0DLnk0LVJ1tfGt9fLjxzeJvKIF18zfZFRuVj8BQ+yo7B5YgEb2cdAVr5m60mlhLCfz28XLkZOUWeZyIqKSY4FQwgaGBeHj6UCy69C0enznSrnMcNYpZo1Ec6reva7ONEAK/zlzqkPtR6TTuVB+h0ba7fv0CdWjd2/bKvRvtWr2/2AnnOZm5OLzluN3XJCKyhQmOA5hMJqxfuBkv3P46hsaPw2Mtn8fC9/9AZmqWq0OzSlEUtLy9+C8oH50Wt9hYElxSlWvGwNZcUiklTu1PhD63/KvcUtG0PlqMeG2wzTZDJt9bognaRr1986/sbUdEVBzOwSkjg96AaQPfw7Zluyyrj1LOXsbJfWfw60fL8MHfr6FyLccVr3Ok+AbV0KJHE+xbf7DQjs+AeTVVrxFdERxu33CWPbQ+Wigapcj73chWdWQqf3c8ejtyMnIw+5X5MBlMULTXd/ZWBAa/MABDJpdsaw17kmShCNRuXqOUERMRFcQEp4x+fH0Rtq/YDQAF5hdIVeJa8jVMG/guZu16162WwJ4/kYzUS2mIqhpxvSDbVCQlXJ9YKv8rzle/XV08+v4Ih967Zc+mWPXDeqvHFY2CBu3rOmyZOJWOEAL3P383+jzcHX8v2ISUc1cQXikU3R64tVQr3Oq0qIl6beogYffJopNprYJOA9oisnK4A6InIuIy8TItE9fnGXB/7CPISrO9MujDjW+g8a31S30fR9m7/iC+fuFHHN2eYHmtWddGGPn6YJzYewZ/zlmHaxdTUSk+Bv3H9kTXwR0dnmjoc/UYVms8UlPSrU44fW3xC+h4VxuH3pdcLynhAp7u9ArSr2QU+H+vKAKxtSph5j9vIjwm1IUREpG7Yx2cYjgqwUnYcwrjWr5gs42iUTDitcEY+tK9pb6PI2z/cw+m3DEDUsoCkz0VjQKtrxYf/P0a6rWp45RYTu0/g+d7vo70yxmWCcz59VAenj60xMMf5DmuXLiG3z5ahj/nrEP6lUxEVg5H/7G34+4JfRAUVrKd7Imo4mEdHDfj6uEpk8mED8fOglRloRVRqkmFMc+Aj8d/g8+2veWUeGo2icecox9j1Q/r8c9vW5GXo0fdFjVxx2O9ULtZDafEQK4RWTkcj7z1EB5566Fyu4eqmjeOXfndWlw8cxkRlcNw+/CuuHVAG2h9+JFHVFHwX3sZxDeshuDwQGRcs75aSjWpaNatkROjKmzvuoNIOXvF6nFVlTi24wROHzyLGo3inBJTUFgg7nmyH+55sp9T7kcVgz5Xj2kD38P2Fbstk/4VjYKty3ahQfu6mLFyCgJD7KvzQ0SejcvEy8DH1wcDnuhntYdGo1VQt1UtNGhnu/ZLeUs+dcmudhdOXiznSIjK19cv/ogdf+4B8N+k//w/j24/gQ/HznJVaETkZExwymjoy/ei4wDzhFhFc/3tFOZHVLVITPvlOZcPUdlbtdjedkTuKCstC8u+Xm21oKBqUrFh4RZcOnvZyZERkStwiKqMtD5avLrwWWxZuhPLvlqFpGMXEBwRhB4PdUavEV0REOz63apb92kO/yA/5GRaL4MfVS0SDYqpMkzkzg5tPgbD9R3jrZFSYu+6g7h9eBcnRUVErsIExwEURUHHu9q47dJm/0A/PPTKffj6xR+ttnl4+hBoNNzJmTyXPRvIAoDJznaeJO1yOjYs3IzUS+mIqhaBzve1t7lBLlFF4NIhqho1akAIUeDx1lu2V/Lk5uZi/PjxiIyMRFBQEAYOHIiLFzl3pDiDnrsLo94cAh+dFhDm+UGAeU+hp2eNxe3D+BstebZbWteGoi3+I61hh1ucEI1zSCnxf68vxANVx+KTCd9i7v9+wQdjZ+H+ymOw+JMVrg6PyKVcWgenRo0aGD16NMaMGWN5LTg4GIGB1n/zGDduHJYtW4Y5c+YgNDQUEyZMgKIo+Pfff+2+r6Pq4HiijGuZ+OfXrZbf9Drd2w7+gX6uDovIIWY89BH+XrCpyN4cjVZBk84N8e7qqS6IrHzMf3sxvp081+rxZ78Zhz4Pd3diRETly6Pq4AQHByM2Ntautmlpafj2228xb948dO9u/kc7e/ZsNGjQAFu2bEH79u3LM1SvEBwehL6je7g6DKJyMeGT0Ti1PxGnDiSaX7j+65tQBKLjovDiD0+4LjgHy8nMwdw3F9lsM/uVn3D78C7QaDn8TBWPy1dRvfXWW4iMjESLFi3w7rvvwmi0vpvwzp07YTAY0LNnT8tr9evXR/Xq1bF582ZnhEtEbiw4PAgfbZqO8R89jJqNqiMoPBDVbqmC0f97EF/sfAdRVSJcHaLD7PhzL3Kz8my2uXohFYc2H3NSRETuxaU9OE8++SRatmyJiIgIbNq0CZMnT8aFCxfwwQcfFNk+OTkZvr6+CAsLK/B6pUqVkJycbPU+eXl5yMv774MgPT3dIfETkfvxD/TDgAl9MWBCX1eHUq5sFRi9UWaqfe2IvI3De3AmTZpUaOLwzY8jR44AACZOnIiuXbuiadOmeOyxx/D+++/jk08+KZCMOMKMGTMQGhpqecTFOadaLxFRealSu5JD2xF5G4f34Dz77LMYOXKkzTa1atUq8vV27drBaDTi9OnTqFevXqHjsbGx0Ov1SE1NLdCLc/HiRZvzeCZPnoyJEydanqenpzPJIbcgpUTC7lO4cPIigiOC0OS2BtwviezStEtDxNaMwcUzKUUWN1Q0Cuq2rIX4hvyso4rJ4Z+k0dHRiI6OLtW5e/bsgaIoiImJKfJ4q1at4OPjgzVr1mDgwIEAgKNHjyIxMREdOnSwel2dTgedTleqmIjKy8FNR/HRuK9wan+i5bWwmFCMenMI+j3CieBkm6IomPj1Y5jcZzqkkAVWjikaBT6+Wjz1xRgbVyDybi6bZLx582bMnDkTe/fuxcmTJzF37lw888wzeOihhxAeHg4ASEpKQv369bFt2zYAQGhoKEaPHo2JEydi3bp12LlzJ0aNGoUOHTpwBRV5lCPbjuO57tNw+uDZAq+nXkrDh2NnYfGnrGFCxWvRvQne//s1NOp4Q4+3AFr2aIKPNk1H3ZZF95YTVQQu6wvX6XSYP38+pk2bhry8PNSsWRPPPPNMgaEkg8GAo0ePIjs72/Lahx9+CEVRMHDgQOTl5aF37974/PPPXfEjEJXaVy/8H1STanXfpG8mzXWbrT7IvTXqWA8frH8dl85eRuqlNERWiUBk5XBXh0Xkci4t9OcqFbnQH7nexTMpeKjm47YbCeCF2RO4ZxIR0Q1K8v3t8jo4RBXNlfNXi22j0Si4nFR8OyIiKhoTHCInC48NK7aNyaTa1Y6IiIrGBIfIySrXrISGHW6BogirbXx1Prjt3rZOjIqIyLswwSFygTHvDINQFAgrSc7I1x9AYKj1TWeJiMg2JjhELtD41vp4688pqFyzYM2nwNAAPD5zFO579k4XRUZE5B24ioqrqMiFpJQ4+O8RXDh5CcERQWjZswl8/XxdHRYRkVsqyfc3a8ITuZAQAo07NUDjTg1cHQoRkVfhEBWVKykl9Ll6VMCOQiojaToPqd8LaTrv6lCIyAOxB4fKRcq5K/j53SX4c8465GTkIjA0AH0e7o77n78LEbGsskrWSf1eyIy3AcOO/17zaQMR/AKEbzMXRkZEnoRzcDgHx+HOHTuPp26dgsy0LKjGghsAhkWH4KNN0xFbo+gNValik/rtkFdHAFCvP/IpADQQET9A+LZyTXBE5HKsZEwu9c7Iz5CZWjC5AQDVpCLtcjo+HDvLRZGRO5NSQqZNQeHkBtefmyDTXuFwJxHZhQkOOdSp/WdweMsxqKabv6DMTEYVu1bvR1LCBSdHRm7PsAcwnULh5CafCpgSAOMBJwZFRJ6KCQ451Im9Z+xqd3JfYjlHQh7HdNa+dsazkNIEmbMU6pWhUC91gJrSCzLzE0jT5fKNkYg8BicZk0P56HzsaufrZ187qkAU++bDSREIpI4H8tbC/DuaCuAKZOZnQNaPQMSPED51yzNSIvIA7MEhh2rRozG0vrbzZr9AHZp2Zt0XuolvR0AUk+SIcMCwF8hbd/2FG4ezVECmQ6aOg5TWhrmIqKJggkMOFRIRjDvH9YIQRe+xJARwz5P94B/k7+TIyN0J4QsR9JTtRkFPANlzAVibaGwCTImAfqOjwyMiD8MEhxxu7DvD0OX+DgAAjVYDoQhotBoAQK+R3TDi9cGuDI/cWcBDEMEvAvAFIPDfKLoOIngShO5WQF4r5iJaSP2ucg2TiNwf5+CQw2l9tHj5p2dw37N3YfUP63El+RqiqkSg18iuqNO8pqvDIzcmhAACRwP+9wO5KwE1BVBiAL/eEEowpNGeSewS/N2NiJjgULmp17o26rWu7eowyAMJJRgIGFT4gKYaoFQC1Is2zjZB+LYvt9iIyDPw1xwi8hhCaCACH7bRQgNo6wG+bZ0WExG5JyY4RORZAkYAfvddf6K5/uf1Se1KLETYF1YnuRNRxcEhKiLyKEIoQOh0wP9OyOz5gOkEIEIg/O8E/O6CUAJdHSIRuQEmOETkcYQQgK4DhK6Dq0MhIjfFISoiIiLyOkxwiIiIyOswwSEiIiKvwzk45HWk4RCQtw5S6iF8GgC67hDC19VhERGREzHBIa8h1TTI1KcA/SaYlw8LSBgBJRII+wiCtVGIiCoMDlGRV5BShbw2BtBvvf6KCYDR/J/qNcirD0MajrsqPCIicjImOOQd9JsAwx6YE5ubqQBMkFlfOzcmIiJyGSY45BVk7nL8V9W2KCYgdzmklM4KiYiIXIgJDnkHNRPmnhpb9AAMTgiGiIhcjQkOeQdtPIr966zEcDUVEVEFwQSHvILwHwTbPTgKRMCDDr2nlHmQhsOQhmOQkj1DRETuhMvEySsIbXUg6CnIzJkw7yx941wbBdDWAwKGO+ReUuohMz8GsucBMvP6LSKBgFFA4GgIYWsuEBEROQMTHPIaIuhxQFMZMvMLwHT6+osBgP/9EEFPOmSXaSkNkNfGAvotKNBjpF6BzHwPMCYAoW+bN4MkIiKXYYJDXkX43wP4DQBMZwHoAU1VCOHvuBvk/nG9kKC144sB/3sA7nJtk5QqkLsUMusHwHgIgA/g1x0i8GEInyauDo+IvAATHPI6QghAW71cri2zf4J56pq1+T4ayOwFEB6e4Eg1C8j9A1K/CxAKhG8HwK8PhNCV/dpShUybZE4GLe+lEchdCZm7Agh9H8K/f5nvQ0QVGxMcopIwnoHtycwmwHTKWdE4hDQmAIZ9ALSAb3vAdBry2jhAZiC/tpDM+RXIeAcI/8a8v1dZ5C6+ntwABd9LEwABmfYC4NsWQhNdtvsQUYXmslVUf//9N4QQRT62b99u9byuXbsWav/YY485MXKq0JSQYhoIQAl1SihlJU0XoF55CPJyP8i0SZBpz0Gm3AZ5dQQgs663MsFSHVq9Anl1BKSaWrb7Zv0A6x890ny/nEVlugcRkct6cDp27IgLFy4UeO2VV17BmjVr0Lp1a5vnjhkzBq+//rrleUBAQLnESFSIX38gaxYKrtK6kYTwu8uZEZWKVK9BXnkAUC/dfARFb3cBACog04CcX4DA0aW7r1QB42FYf//MMUjDPnCaNhGVhcsSHF9fX8TGxlqeGwwGLFmyBE888USxK1ACAgIKnEvkDFLmAHkbYP3LWQE01QH/O5wZVulkzwXUiyi++vPNJGTuXxClTHDMS/g1sGyEaq0NCzISURm5TaG/33//HVeuXMGoUaOKbTt37lxERUWhcePGmDx5MrKzs222z8vLQ3p6eoEHUUnJzK+u9z7YEPYlhPBzTkBlILN/QcmTm/yTc0p9XyEEoOsM2/uGqRC6LgVvaboAmbcJUr8XUlrrYSIi+o/bTDL+9ttv0bt3b1SrVs1mu6FDhyI+Ph5VqlTBvn378OKLL+Lo0aP49ddfrZ4zY8YMvPbaa44OmSoQKY3mXg+bSYEKYdgK+NR0Vlilp14p5YkaQNuoTLcWgaMh89ZZv74SAfj1AwBIYyJk+huA/oaeM6USEDQBImBwmeIgIu8mpIO3V540aRLefvttm20OHz6M+vXrW56fO3cO8fHx+PnnnzFw4MAS3W/t2rXo0aMHEhISULt27SLb5OXlIS8vz/I8PT0dcXFxSEtLQ0hIcZNGqSKTpvNA3j+Q6lUg84NiWmuBgPuhhExzRmhloqb0BEyJpTpXRP5S5lo1MnsRZPqU/GhgqT6tREOEz4HwqQtpSoK8fC8g01HUvCAR9BxE0NiS3VfmATlLIHMWAqZk8/0CBgJ+90AonMtH5O7S09MRGhpq1/e3w3twnn32WYwcOdJmm1q1ahV4Pnv2bERGRuKuu0o+ObNdu3YAYDPB0el00OnKXr+DKg6pZkOmvwLkLoXtCbE3c//hKQAQ/vdDZn4A2z1SN255cb1eTeAEhxTiEwH3AbqOkNkLAMMBQOggdF0BvzssiYbM+MRqcgMAMvNDwP9eCE2UXfeUagbk1eGA8SAsP5t6CTL9oLl3LuJHCCWizD8bEbkHhyc40dHRiI62v36FlBKzZ8/G8OHD4ePjU+L77dmzBwBQuXLlEp9LVBQpVcjUx69vx1CS5MYI4dejvMJyrICh5tVQpkQUmUBo6wNQAeMx83OfJhCBj0D49XZYCEJTBSL4mSKPSTXbXDXa6oouAJBA7hK7V3TJ9GmA8ch/5974p/EUZNpLEOGz7LoWEbk/l08yXrt2LU6dOoVHHnmk0LGkpCTUr18f27ZtAwCcOHECb7zxBnbu3InTp0/j999/x/Dhw9G5c2c0bdrU2aGTt9Jvvr4dQ0km4SqApiZk7jqoGe9A5q5x68mwQgmCiPwJ0PVAwY8BHRAwEiJyEZSopRCV9kJU2g8lcqFDk5tiqVcBFLdDu2IeQrSDNKUAuctgPWEyAXnrII1nSxAkEbkzl08y/vbbb9GxY8cCc3LyGQwGHD161LJKytfXF6tXr8bMmTORlZWFuLg4DBw4EFOmTCl0LlFpyZzfYV7lU1yColx/GAFozRWMs+eYr4FvAKUKEP4lhE+98gy31IQSARH+KaQpGTAcAoQG8GkJoQT/18aOfbykmg3kLITMng+oFwARbp7XEjC09EM+SigK7wpf6M4QSrh91zPsQ/EJqwQMuwBtnH3XJCK35vBJxp6gJJOUqOJRr44B9OuLb+h3BwAfIG8tIDNROCHSACIYImq53fNEPI1U0yGvPvjfUNaNc3aUaIiInyC0hVdGStMlQOYCmkpW97dSrz0G5K2HrURTRK2C0MYXH2fuWsjU4iuei9D3IPzdv1AjUUVVku9vlw9REbkdTVXYrtMCQKkEJewD875MVifCmszHchaUQ5AFSTULMuv/oF6+B+ql26BeeQAy+1dIqS/f+6a/CRgTYE5sbvxdSQXUy5BpEwu2z10N9fI9kCmdIC/3hLzUHmr6/yDVjELXFkFPwPz/oaiPKQH4D7IruQEA+DZH8R3WAvC1XUWdiDwHExyim4iAgbA9PKVABDwAAJC5y2B7GEWFzPnDgdEVJk0pkFfugcx4EzAeMlcoNuyBTJ8EefUh887g5XFf9er1VWY25rUY9kAazMURZfZc8+TtG4slyiwg+/8grw6BVDMLnC18GkFEzAaU/Krl+RXOtUDAMIgQ+2tbCSUC8BsA6x95GkDXG0JTxe5rEpF7c/kcHCJ3I3yaQPoPAnIWFnFUA2jigIBh5qdF9DwUIssnwbBcPu15wHQWhXpQAMCw7/rqoI8cf2PDYdjeciG/3R5IJcrc23NjbBYmwJgAmfV1oVVVwrcNEL3WPPHbeAIQgYBft1LN7REhL0OaTgGGnbAse8//U1sfIvRN2xcgIo/CHhyiIoiQ1yGCngJE8A2vKoBfH4jI+RD5u4pr68L2cJYG0BZdn8kRpPHk9RVfNjbIzFsBNeUuyLzNDr57McN4N7bL+RXF9XQh+yfzZpw3EUKB0N0KETgcImBgqScuCyUQIuIHiNAPAN/2gKYm4NMGIvQdiMgF//0/JSKvwB4coiIIoQGCxgOBj5hX4Eg9oK1XaLKwCHgAMu9PG1cyQQQMLb9A9Tvta2c6CnltlHlV1037PJWaT1NA+BezN5UAfDtCZn0KFLc/uEwFZAYgQh0TX1HRCB/A/w4IT9gQlYjKhD04RDYIoYPwbWPuQShqJZRvR8B/kPUL6PoBup7lF2BxSYOFeRKwTJvisPo8QgkAAh6yEYMG0PUyr6ISgXbEKgAP2KiUiDwDExyiMhBCQIS8ARH8irnuTT6lEkTwixBh70OIcvxn5tumBI2leQKyfpPDbi+CngZ0t19/lj9kdf3n9WkCEfo/czu/PrA9X0cD6LpZXTJORFRSHKIiKiMhFCBwGBDwoLnQnZSAprJ5mKu8762Nh/TtCug3ovjChNeZzjnu/sIHCPsE0G+GzFlkvrYSBeE/ANB1hxDXP2J8WgM+bcyF9ArFae7ZEYHjHBYXERETHCIHEUK5XkPHyfcNewvy6gjAeNTOExw7x0UIAeg6Qug62m4T/gVk6pPXe5A0MCc2RkAEmgvs+TZzaFxEVLExwSHycEKJACIXmbeYSJ8Gm3s4CX/AUZOMS0goIRARcyANByFzVwMyB8LnFsCvr11bQhARlQQTHCIvIIQOImAQpPAvVD24QLvACRBKoBMjKyIGn0YQPo1cGgMReT9OMibyIsL/DoiQ6ddXLQH/Tfz1hQh6xrzsnYioAmAPDpGXEQGDAP87ILN+MFcbViKAwEcgtNyGgIgqDiY4RF5GGhMg0yYDhr3/vZizCGrgCIigp52yuqvIuKQEcpdDZv8AGA4AQgv4doUIfJgTjInI4ZjgEHkRaTwHeWUIIDNvOpILZH0FqV6FCJ3u/LikhEx/Bcj5GZb9n6QByPvLXAk69B0I/7ucHhcReS/OwSHyIjJr1vXkpqiaOBLIWWju4ZG29oUqB7nLric3QMHNNk0AVMi0FyFNyc6NiYi8GhMcIi8hpRHIWQLbBf8E5NURkBcbQk1uBPXaY5D67eUfW/YPsP1xIyGzF5R7HERUcTDBIfIWMgtAXnGNADUF5iTIAOSth7z6EGT2z8WcV0aGAyjYc3Mz1bypKRGRgzDBIfIWIhBASfdyMgGQkOmvQhoTyyGofHZM9zMmQKrZ5RgDEVUkTHCIvIQQWsD/HvxX+6ZEZ0PmlOMQkW9nFPtxoyZDXhtjHmojIiojJjhEXkQEPQaIYJQ8yTGV2xCR1O8FjLtge4gKACRg2A7krS6XOIioYmGCQ+RFhKYKROQCwKd5Sc8E4OvweKTxFOTV4YB61c4zFMjsRQ6Pg4gqHtbBIfIyQlsTIvInSGMCYDwOwM+8EWfeSthaYSV03Rwei8z6BoAexffe5FMB9YLD4yCiiocJDpGXEto6gLaO+YmmEmTeCph7am6ugaMBRAjgP6BU95EyB8hZBpm3GpDZgLY+RMBgQFMLyPkdtpet30wBlEqlioOI6EZMcIgqAOHTEAibCZn6LPKL61mSHSUUIvw7CCWoxNeVxjPXh6Au/Hc9/XbI7O+BoIkoftn6zVQI/4EljoOI6GZMcIgqCOHXB4huBeQsgjTsBaCF0N0G+N0JoQSU+HpSGiGvPQyol/Jfuf7n9R6bzPfNE55lhp1XVACfpoBfrxLHQkR0MyY4RBWI0EQDQeMgSnGulHogbx1gSgaUCEhIwHTWxhkKIIKuFyAsbg6OAvj1hwh5DUL4lCI6IqKCmOAQUbFkzlLI9NcAmQbLZpnQ3PDfRbk+YVipCaiJKHIujq4HhN8dgG9rCA3n3hCR4zDBISKbZO5fkGkTb3glP6Gxc/JwxHdA1hdAzmKYV1QBUGLNNXv8h0CI0vQnERHZxgSHiKySUkJmvIOiV18VRwCaaubaPKFvQga/CJhOAdAB2joQojQVl4mI7MMEh4isMx4ETKXfo0oEjLD00AglGFCaOioyIiKbWMmYiKxTr9nZ8MZhpusfK7rbgYAHHR0REZFd2INDVIFI02UgbxWgpgPaeEDXHULY2KJBU8W+C/veat7LSuYB2roQgQ8BfndzGIqIXIYJDlEFIKXJPJcm+weYJwkrAEyACANC34SwUntGaGtDapsCxgMoerWUAJQIiPAvubybiNwKh6iIKgCZMQPIngPzyicJywoomQaZ+iRk3iar54qQV2D+Xejmj4vrc2tCpjG5ISK3wwSHyMtJUzKQ/SOKXgVlfk1mfmj1fOHbDCJirrnK8I00tcw9N369HRcsEZGDcIiKyNvl/gnbS7xVwLAX0pQEoalaZAvh2wwi8mdI4ynAdAFQIgBtPdawISK3xQSHyMtJNRXmqsNG2w3VNMBKgpNPaGsC2pqOCo2IqNyU2xDV9OnT0bFjRwQEBCAsLKzINomJiejfvz8CAgIQExOD559/Hkaj7Q/hq1ev4sEHH0RISAjCwsIwevRoZGZmlsNPQOQdhCYOxSY3UABNrDPCISJyinJLcPR6PQYNGoRx48YVedxkMqF///7Q6/XYtGkTvv/+e8yZMwevvvqqzes++OCDOHjwIFatWoWlS5diw4YNGDt2bHn8CETewa83IPxtNNAAup4QSoTTQiIiKm9CSlnS+uslMmfOHDz99NNITU0t8PqKFStwxx134Pz586hUybzJ3qxZs/Diiy8iJSUFvr6Fa3McPnwYDRs2xPbt29G6dWsAwMqVK9GvXz+cO3cOVarYV7MjPT0doaGhSEtLQ0hISNl+QCIPIHN+hUybhMJbLmgAEQQRuQhCG++i6IiI7FOS72+XraLavHkzmjRpYkluAKB3795IT0/HwYMHrZ4TFhZmSW4AoGfPnlAUBVu3brV6r7y8PKSnpxd4EFUkwv9eiLBPAU2tG18FdJ0hIhcyuSEir+OyScbJyckFkhsAlufJyclWz4mJiSnwmlarRUREhNVzAGDGjBl47bXXyhgxkWcTfr3M2yeYTgBqBqCpCqGJKf5EIiIPVKIenEmTJkEIYfNx5MiR8oq11CZPnoy0tDTL4+zZs64OicglhBAQ2joQvi2Y3BCRVytRD86zzz6LkSNH2mxTq1Ytm8fzxcbGYtu2bQVeu3jxouWYtXMuXbpU4DWj0YirV69aPQcAdDoddDqdXXERERGR5ytRghMdHY3o6GiH3LhDhw6YPn06Ll26ZBl2WrVqFUJCQtCwYUOr56SmpmLnzp1o1aoVAGDt2rVQVRXt2rVzSFxERETk+cptknFiYiL27NmDxMREmEwm7NmzB3v27LHUrOnVqxcaNmyIYcOGYe/evfjzzz8xZcoUjB8/3tLbsm3bNtSvXx9JSUkAgAYNGqBPnz4YM2YMtm3bhn///RcTJkzAAw88YPcKKiIiIvJ+5TbJ+NVXX8X3339ved6iRQsAwLp169C1a1doNBosXboU48aNQ4cOHRAYGIgRI0bg9ddft5yTnZ2No0ePwmAwWF6bO3cuJkyYgB49ekBRFAwcOBAff/xxef0YRERE5IHKvQ6OO2IdHPImUkrAsA8wnQREAOB7K4QS5OqwiIgcriTf39yLisiDScNByLQXAeOxG171gwx8BCJoAoRwWakrIiKXYoJD5KGkMQHy6lBA5t10JBfI+hRSZkKEvOSS2IiIXI2/3hF5KJnxMSD1ANSiG2R/D2k859SYiIjcBRMcIg8k1Uwg7y8AJhutBJD7h7NCIiJyK0xwiDyRTIPVnhsLBVJNcUY0RERuhwkOkScSYQA0xTRSIZRKxbQhIvJOTHCIPJBQAgG/vig2yfG/2ynxEBG5GyY4RB5KBD1prntjLckJHAuhsb5HGxGRN2OCQ+ShhLYGROQCwKfpTQdCIIJfhAh6xjWBERG5AdbBIfJgQlsHInIBpDEBMJ4ARCDg2wZC6FwdGhGRSzHBIfICQlsH0NZxdRhERG6DQ1RERETkdZjgEBERkddhgkNERERehwkOEREReR0mOEREROR1mOAQERGR12GCQ0RERF6HCQ4RERF5HSY4RERE5HUqZCVjKSUAID093cWREBERkb3yv7fzv8dtqZAJTkZGBgAgLi7OxZEQERFRSWVkZCA0NNRmGyHtSYO8jKqqOHr0KBo2bIizZ88iJCTE1SF5jPT0dMTFxfF9KyG+b6XH9650+L6VDt+30nHW+yalREZGBqpUqQJFsT3LpkL24CiKgqpVqwIAQkJC+Je4FPi+lQ7ft9Lje1c6fN9Kh+9b6TjjfSuu5yYfJxkTERGR12GCQ0RERF6nwiY4Op0OU6dOhU6nc3UoHoXvW+nwfSs9vnelw/etdPi+lY47vm8VcpIxERERebcK24NDRERE3osJDhEREXkdJjhERETkdZjgEBERkdepkAnO9OnT0bFjRwQEBCAsLKzQ8b1792LIkCGIi4uDv78/GjRogI8++sj5gbqZ4t43AEhMTET//v0REBCAmJgYPP/88zAajc4N1M0dO3YMd999N6KiohASEoJOnTph3bp1rg7LYyxbtgzt2rWDv78/wsPDMWDAAFeH5DHy8vLQvHlzCCGwZ88eV4fj1k6fPo3Ro0ejZs2a8Pf3R+3atTF16lTo9XpXh+aWPvvsM9SoUQN+fn5o164dtm3b5uqQKmaCo9frMWjQIIwbN67I4zt37kRMTAx+/PFHHDx4EC+//DImT56MTz/91MmRupfi3jeTyYT+/ftDr9dj06ZN+P777zFnzhy8+uqrTo7Uvd1xxx0wGo1Yu3Ytdu7ciWbNmuGOO+5AcnKyq0Nze7/88guGDRuGUaNGYe/evfj3338xdOhQV4flMV544QVUqVLF1WF4hCNHjkBVVXz55Zc4ePAgPvzwQ8yaNQsvvfSSq0NzOwsWLMDEiRMxdepU7Nq1C82aNUPv3r1x6dIl1wYmK7DZs2fL0NBQu9o+/vjjslu3buUbkIew9r4tX75cKooik5OTLa998cUXMiQkRObl5TkxQveVkpIiAcgNGzZYXktPT5cA5KpVq1wYmfszGAyyatWq8ptvvnF1KB5p+fLlsn79+vLgwYMSgNy9e7erQ/I477zzjqxZs6arw3A7bdu2lePHj7c8N5lMskqVKnLGjBkujErKCtmDUxppaWmIiIhwdRhubfPmzWjSpAkqVapkea13795IT0/HwYMHXRiZ+4iMjES9evXwww8/ICsrC0ajEV9++SViYmLQqlUrV4fn1nbt2oWkpCQoioIWLVqgcuXK6Nu3Lw4cOODq0NzexYsXMWbMGPzf//0fAgICXB2Ox+L3QGF6vR47d+5Ez549La8pioKePXti8+bNLoysgg5RldSmTZuwYMECjB071tWhuLXk5OQCyQ0Ay3MOv5gJIbB69Wrs3r0bwcHB8PPzwwcffICVK1ciPDzc1eG5tZMnTwIApk2bhilTpmDp0qUIDw9H165dcfXqVRdH576klBg5ciQee+wxtG7d2tXheKyEhAR88sknePTRR10dilu5fPkyTCZTkZ/9rv7c95oEZ9KkSRBC2HwcOXKkxNc9cOAA7r77bkydOhW9evUqh8hdq7zet4rG3vdRSonx48cjJiYGGzduxLZt2zBgwADceeeduHDhgqt/DJew971TVRUA8PLLL2PgwIFo1aoVZs+eDSEEFi5c6OKfwvnsfd8++eQTZGRkYPLkya4O2S2U5jMvKSkJffr0waBBgzBmzBgXRU4lpXV1AI7y7LPPYuTIkTbb1KpVq0TXPHToEHr06IGxY8diypQpZYjOfTnyfYuNjS00c/7ixYuWY97M3vdx7dq1WLp0Ka5du4aQkBAAwOeff45Vq1bh+++/x6RJk5wQrXux973LTwAbNmxoeV2n06FWrVpITEwszxDdUkn+zm3evLnQHkGtW7fGgw8+iO+//74co3Q/Jf3MO3/+PLp164aOHTviq6++KufoPE9UVBQ0Go3lsz7fxYsXXf657zUJTnR0NKKjox12vYMHD6J79+4YMWIEpk+f7rDruhtHvm8dOnTA9OnTcenSJcTExAAAVq1ahZCQkAJfSt7I3vcxOzsbgHmM+kaKolh6KCoae9+7Vq1aQafT4ejRo+jUqRMAwGAw4PTp04iPjy/vMN2Ove/bxx9/jDfffNPy/Pz58+jduzcWLFiAdu3alWeIbqkkn3lJSUno1q2bpbfw5n+3BPj6+qJVq1ZYs2aNpWSDqqpYs2YNJkyY4NLYvCbBKYnExERcvXoViYmJMJlMlnoQderUQVBQEA4cOIDu3bujd+/emDhxomUcUaPRODSJ8jTFvW+9evVCw4YNMWzYMLzzzjtITk7GlClTMH78eLfaYdaVOnTogPDwcIwYMQKvvvoq/P398fXXX+PUqVPo37+/q8NzayEhIXjssccwdepUxMXFIT4+Hu+++y4AYNCgQS6Ozn1Vr169wPOgoCAAQO3atVGtWjVXhOQRkpKS0LVrV8THx+O9995DSkqK5ZireybczcSJEzFixAi0bt0abdu2xcyZM5GVlYVRo0a5NjCXruFykREjRkgAhR7r1q2TUko5derUIo/Hx8e7NG5XK+59k1LK06dPy759+0p/f38ZFRUln332WWkwGFwXtBvavn277NWrl4yIiJDBwcGyffv2cvny5a4OyyPo9Xr57LPPypiYGBkcHCx79uwpDxw44OqwPMqpU6e4TNwOs2fPLvLzroJ+bRbrk08+kdWrV5e+vr6ybdu2csuWLa4OSQoppXRmQkVERERU3jigSERERF6HCQ4RERF5HSY4RERE5HWY4BAREZHXYYJDREREXocJDhEREXkdJjhERETkdZjgEBERkddhgkNERERehwkOEREReR0mOEREROR1mOAQERGR1/l/9jtQmEAf+dAAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter (X[:,0], X[:,1], c=all_predictions)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum of squared distances of samples to their closest cluster center.: 766.1594927527818\n" + ] + } + ], + "source": [ + "print('Sum of squared distances of samples to their closest cluster center.:', model.inertia_)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n", + "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[3015.7692276196085, 766.1594927527818, 369.5556880065657, 158.76686919578418, 136.07776106430828, 119.41082903949317, 102.06541733084515, 90.40896447881985, 79.46925530063092]\n" + ] + } + ], + "source": [ + "inertia = []\n", + "for k in range(1,10):\n", + " kmeans = KMeans(n_clusters=k, random_state=1).fit(X)\n", + " inertia.append((kmeans.inertia_))\n", + "print (inertia)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "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": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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