{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/com/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n", "Using TensorFlow backend.\n", "/Users/com/anaconda3/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: compiletime version 3.5 of module 'tensorflow.python.framework.fast_tensor_util' does not match runtime version 3.6\n", " return f(*args, **kwds)\n" ] } ], "source": [ "import keras\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from skimage import transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Данные:\n", "Будем работать с датасетом [FashionMNIST](https://github.com/zalandoresearch/fashion-mnist). " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from keras.datasets import fashion_mnist\n", "\n", "(X_train, y_train), (X_test, y_test) = fashion_mnist.load_data()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAE3VJREFUeJzt3WuMXOV5B/D/M7Ozu17f7cUXzMY2jikXBwzZOBe3iQmFAiIyKA1gVZEjpZiiIDUVqkr9oXYbVaJRgfAhIXKKGyOBQ6RADRUpQVaLCW1s1g7CJg6BGCf4wq6NjXftvc3l6YedRRuz53nHc2bOmfXz/0lod+fZM/Mynv+enX3O+76iqiAifzJpD4CI0sHwEznF8BM5xfATOcXwEznF8BM5xfATOcXwEznF8BM51ZTkgzVLi7ZicpIPeX6YPMksN3UMR9YGPmi1j+23r/CUUuAK0EC50BZ9fpHpBfvYYfvl2XpkyKxrwb7/89EgzmBYh6SS740VfhG5EcAjALIA/k1VH7C+vxWT8Wm5Ls5D1o8Enq80L4Ne9gmzPPPhw5G1fc9dah47Z0/0Dw4AyA4VzboMl8z68avaou/7lvfNY98/ONOsX/qtd8x6sbvHrJ+Pdur2ir+36l/7RSQL4LsAbgJwOYA1InJ5tfdHRMmK855/BYC3VfWAqg4D+BGA1bUZFhHVW5zwLwDw7pivD5Vv+wMisk5EukSkKw/7PRoRJSdO+Md7k/yRN8aquklVO1W1M4eWGA9HRLUUJ/yHAHSM+foiAEfiDYeIkhIn/K8CWCoii0WkGcCdAJ6tzbCIqN6qbvWpakFE7gXwAkZafZtV9Y2ajexcxW3VxWjlFVddY9Z/e4f9NP/jtU+b9UG1W1aLcscia3Pu/ql57PKW9N6KPXZqnlnPX5w163fd9q5Zf2Uo+tx2zy//wjx2wUM5sy6vvGbWJ4JYfX5VfR7A8zUaCxEliJf3EjnF8BM5xfATOcXwEznF8BM5xfATOSVJ7tgzTWZpo07pzbbPNusDW6dE1u5Z+D/msc1iT4s9ONxu1nuGp5n108XoXn1B7V75pIw9pXfppG6zfmh4llnPG49f0oqmnVetPXc6sjY3d8o8dka236xveONLZn3erfvNer3s1O3o1RMVPbE88xM5xfATOcXwEznF8BM5xfATOcXwEzmV6NLdjWzaNrvleefsVyJrO/uWmMda7S4AmJTNm/WBoj29NCPRY28We/lq61gAeP1Mh1lvCrQxLbkYx1aiZ3hqZO14Prp1C4TbkN+6YptZ/+6KL5t17Npr1xPAMz+RUww/kVMMP5FTDD+RUww/kVMMP5FTDD+RU276/IUvftKs3zzb7tvuObMostYWmBbbArvXPqe516xfP9meHnphNrpXnxP753tfyR5bW8a+RmFI7V16rUefmmk2j+0v2dc/HCjYL9+f9l0Zfd9F+7HH3Y9qjEG1r734zV/aW6Nfssu+/yTwzE/kFMNP5BTDT+QUw0/kFMNP5BTDT+QUw0/kVKw+v4gcBNAHoAigoKqdtRhUPRz6ot3Xnd0UvcwzAMxsil7KOTRfvzVj96uP56PnnQPAnd+7z6xPPhLda5/6uyHz2NMd9hbdUw7bx2vGbohnhqPHVmyxn7f8NLvec7X98v2nNU9E1nafWWweG7p2I6/2Yz987Vaz/ig+btaTUIuLfK5V1eM1uB8iShB/7SdyKm74FcDPRGS3iKyrxYCIKBlxf+1fqapHRGQOgBdF5NequmPsN5R/KKwDgFa0xXw4IqqVWGd+VT1S/tgD4BkAK8b5nk2q2qmqnTnYf1wiouRUHX4RmSwiU0c/B3ADgH21GhgR1VecX/vnAnhGREbv50lV/a+ajIqI6q7q8KvqAQBX1XAsdXXLTTvN+pmS/ZbE6tUPBeaVtzf1mfW3Buaa9Qu//b9mve+Oz0TWuldMMo+d/6B934fv/5xZb99rX8OQb4+e965Z+xqBtvfsXvvCDfak+ME7oh871Mdvz9n/ZkfyM8z6PTPeMOvf/+TqyJruto+tFbb6iJxi+ImcYviJnGL4iZxi+ImcYviJnHKzdPffz3nZrP9nYIpni9Hqm5mzl68OuXjSMbO+D7PN+ssPfS+ydrgYPRUZAL5wyd+Y9Xe+FH3fAPD5vbeZ9ReveCqy1hZYunvDsSvM+i+uspfP7jfatxc1nzCPDS3NnS/Z0dl2ZoFZP/on0yNr83abh9YMz/xETjH8RE4x/EROMfxETjH8RE4x/EROMfxETp03fX5dudys7xz6tVkPTenNSTGy1ir2tNZ5uVNm/Zf9C816yM1f/lpkLTNgj+1jHfa02pv/4QazPlXs6wj+fOjPoouBZb8/+NNL7MfGL8z6jpPRx6+a9aZ5bGg59lD9WMFejn3ws8ZS8d8xD60ZnvmJnGL4iZxi+ImcYviJnGL4iZxi+ImcYviJnDpv+vzdf2tvJT0v22vWD+ICsz5Uip7fPTfQx+8pTDPr/UV7XnvhumvM+sAF0WMbmGX/fDf+twAAZ+YtMeuB3cfRNKiRtWKz3ecfmmHXB//qs2b9c1Neiqz15O1/k0taj5r1LKL/vwBgevaMWV97WfRS8i/BXm69VnjmJ3KK4SdyiuEncorhJ3KK4SdyiuEncorhJ3Iq2OcXkc0AbgHQo6rLyrfNAvAUgEUADgK4XVVP1m+YYYVdM836v7TfZNbvmPOqWV/a3BNZ68ja6/b/+6llZn0osAb8849/36znNXqtgbzaYxsM1FvFPj+0ZewLBTLG+WVI7YsEcmLPmT+Qt4/ffGJlZG1Bi/1yDa3RkJOCWX/pg0vN+isvXBlZWwh72/RaqeTM/0MAN5512/0AtqvqUgDby18T0QQSDL+q7gBw9vYmqwFsKX++BcCtNR4XEdVZte/556rqUQAof5xTuyERURLqfm2/iKwDsA4AWtFW74cjogpVe+bvFpH5AFD+GPnXMFXdpKqdqtqZg71IJhElp9rwPwtgbfnztQC21WY4RJSUYPhFZCuA/wPwRyJySES+DuABANeLyFsAri9/TUQTiKja85JraZrM0k/LdYk93rlomjfXrA9c2RFZe2/doHnsxiufM+svnPiEWV/Sdsysv9Uf/ffWydlh89iW0IT8OsqI/dqz9koAgPfzk836x9uir8148refMo+ds9re56FR7dTt6NUT9kIIZbzCj8gphp/IKYafyCmGn8gphp/IKYafyKnzZunuuArvdZv1nFFfMHC1eWzrZrudVoLdmZneZG+DPb8leunwlow99TS01XRIVuwpwRljievQY7fn+sx6b8Fe4vqCpujjh3bNMo/1gGd+IqcYfiKnGH4ipxh+IqcYfiKnGH4ipxh+Iqf89PnF7qVnWuxVhkqDxrTdwLToA8P2EofNMXvxxRg/w0N9+qI27vkhznRk49KIikiTHR0t2tORQ6+ZJDTuvywR1RXDT+QUw0/kFMNP5BTDT+QUw0/kFMNP5JSfPn+gr1oaGqr6rnP73jHrb/fby4JPytr96pMFe4lqS2itAGu+PQAEutVB1nUEoesXQv/fU5qq/zdr7o3ZZ88G1kEo2NduNAKe+YmcYviJnGL4iZxi+ImcYviJnGL4iZxi+ImcCvb5RWQzgFsA9KjqsvJtGwHcBWB07+j1qvp8vQaZBAn0bdXo2xZ7T5vH9gb61TNyA2a9v9hs1tuMbbhDffzQdQBx1uUH7G22i2Kfe04W2sz6/GZ7Un4G0WOXYvrz6dNWyZn/hwBuHOf2h1V1efm/CR18Io+C4VfVHQBOJDAWIkpQnPf894rI6yKyWURm1mxERJSIasP/KIAlAJYDOArgwahvFJF1ItIlIl15VH8tNhHVVlXhV9VuVS2qagnADwCsML53k6p2qmpnDvYimUSUnKrCLyLzx3x5G4B9tRkOESWlklbfVgCrALSLyCEAGwCsEpHlABTAQQB313GMRFQHwfCr6ppxbn6sDmNJlZZi9H1L9qz34ZL9NJcCa+OX1O7FW730kHwpZ9ZbY6yNDwAZ4zqB0LhD/9+h9QCajfsPXL4QFuf10iB4hR+RUww/kVMMP5FTDD+RUww/kVMMP5FTfpbuTtGqmW+a9V/1X2jWWwJbeFvbaIfaaaEpu2kKjb2v2GrWrTZjoEvoAs/8RE4x/EROMfxETjH8RE4x/EROMfxETjH8RE6xzz9K69fvHlR72mzI9CZ7ae9BY1pucOntwNblsZf+No7vDzTbQ1twn8zbS3tbU6WLOXvcQXV8vSSFZ34ipxh+IqcYfiKnGH4ipxh+IqcYfiKnGH4ip9jnT8Dx/FSzHpqv31+yt+hukejjQ8tbh/r0oaW7TxUnmfWicf9tWbuPH1rS/L3SNLNuGZ4Rs89/HuCZn8gphp/IKYafyCmGn8gphp/IKYafyCmGn8ipYJ9fRDoAPA5gHoASgE2q+oiIzALwFIBFAA4CuF1VT9ZvqBNXqNcelzVnvxTzsUNr54fm+1tCfXxr3f1Kjj9TaomsFewl/4NibeneICo58xcA3KeqlwH4DIBviMjlAO4HsF1VlwLYXv6aiCaIYPhV9aiq7il/3gdgP4AFAFYD2FL+ti0Abq3XIImo9s7pPb+ILAJwNYCdAOaq6lFg5AcEgDm1HhwR1U/F4ReRKQB+AuCbqtp7DsetE5EuEenKw76Wm4iSU1H4RSSHkeA/oapPl2/uFpH55fp8AD3jHauqm1S1U1U7c4j+AwwRJSsYfhERAI8B2K+qD40pPQtgbfnztQC21X54RFQvlUzpXQngqwD2ishr5dvWA3gAwI9F5OsAfg/gK/UZ4sQXapcFZtUGWVt0x5UzpgsD8bb4Do079LyV1H7i+q1WX9vEb9XFFQy/qv4c0S/P62o7HCJKCq/wI3KK4SdyiuEncorhJ3KK4SdyiuEncopLd48KbFVdT6HlseMI9dLjTMkFgJYYYw8tGx6a0tuUsa8DGNTol3edZ1lPCDzzEznF8BM5xfATOcXwEznF8BM5xfATOcXwEznFPv8oCUyqj3EdQG9gnei25uGq7zsktGx46BqDQc2Z9dCc+zjLloeW5s6K/W8yVIoee+wlELT6dQwaBc/8RE4x/EROMfxETjH8RE4x/EROMfxETjH8RE6xz98Achl7bXyrXw3Yc/JDffhQPRuY718MzMkPHR/nvuOsRcD5/DzzE7nF8BM5xfATOcXwEznF8BM5xfATOcXwEzkV7POLSAeAxwHMA1ACsElVHxGRjQDuAnCs/K3rVfX5eg207uq4bv/u4x1mveOiE2a9v9hs1q0586H59FOyQ1XfdyV1a9+AoZL98mvLxmvGW4+t2Zj/3inu81ArlVzkUwBwn6ruEZGpAHaLyIvl2sOq+q/1Gx4R1Usw/Kp6FMDR8ud9IrIfwIJ6D4yI6uuc3vOLyCIAVwPYWb7pXhF5XUQ2i8jMiGPWiUiXiHTlYf+KSUTJqTj8IjIFwE8AfFNVewE8CmAJgOUY+c3gwfGOU9VNqtqpqp05tNRgyERUCxWFX0RyGAn+E6r6NACoareqFlW1BOAHAFbUb5hEVGvB8IuIAHgMwH5VfWjM7fPHfNttAPbVfnhEVC+V/LV/JYCvAtgrIq+Vb1sPYI2ILAegAA4CuLsuIzwPdEz9wK7n7FZfW8Ze2vtTkw5E1pphLzGdC2yDPT2wDXYc/WpP2W0NLM393OnLzPqC3MnIWtviXvPYoEygDVmq3/NWK5X8tf/nwLgTqyduT5+IeIUfkVcMP5FTDD+RUww/kVMMP5FTDD+RU1y6e1Qdt+jeuW+JWd/Vsti+g1P20t2ai7FddODHf/Z04BsCvXoYvXop2McG2vwI7C6O4enRd3BBV2DcIROgjx/CMz+RUww/kVMMP5FTDD+RUww/kVMMP5FTDD+RU6IJLkEsIscA/G7MTe0Ajic2gHPTqGNr1HEBHFu1ajm2hap6QSXfmGj4P/LgIl2q2pnaAAyNOrZGHRfAsVUrrbHx134ipxh+IqfSDv+mlB/f0qhja9RxARxbtVIZW6rv+YkoPWmf+YkoJamEX0RuFJE3ReRtEbk/jTFEEZGDIrJXRF4Tka6Ux7JZRHpEZN+Y22aJyIsi8lb547jbpKU0to0icrj83L0mIjenNLYOEflvEdkvIm+IyF+Xb0/1uTPGlcrzlviv/SKSBfAbANcDOATgVQBrVPVXiQ4kgogcBNCpqqn3hEXk8wBOA3hcVZeVb/s2gBOq+kD5B+dMVf27BhnbRgCn0965ubyhzPyxO0sDuBXA15Dic2eM63ak8LylceZfAeBtVT2gqsMAfgRgdQrjaHiqugPA2Tt6rAawpfz5Foy8eBIXMbaGoKpHVXVP+fM+AKM7S6f63BnjSkUa4V8A4N0xXx9CY235rQB+JiK7RWRd2oMZx9zytumj26fPSXk8Zwvu3Jyks3aWbpjnrpodr2stjfCPt35SI7UcVqrqNQBuAvCN8q+3VJmKdm5Oyjg7SzeEane8rrU0wn8IQMeYry8CcCSFcYxLVY+UP/YAeAaNt/tw9+gmqeWPPSmP50ONtHPzeDtLowGeu0ba8TqN8L8KYKmILBaRZgB3Ang2hXF8hIhMLv8hBiIyGcANaLzdh58FsLb8+VoA21Icyx9olJ2bo3aWRsrPXaPteJ3KRT7lVsZ3AGQBbFbVf058EOMQkYsxcrYHRlY2fjLNsYnIVgCrMDLrqxvABgD/AeDHAD4G4PcAvqKqif/hLWJsqzDyq+uHOzePvsdOeGx/DOBlAHuBD7cpXo+R99epPXfGuNYgheeNV/gROcUr/IicYviJnGL4iZxi+ImcYviJnGL4iZxi+ImcYviJnPp/Wge9Birza7YAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(X_train[1].reshape([28,28]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Задание:\n", "Будем решать задачу классификации на 10 классов. Каждый класс соответствует одному из типов одежды. Исходная размерность признакового пространства: `784`, каждый пиксель является признаком. Будем снижать размерность признакового пространства с помощью метода главных компонент (`PCA`). Ваша задача оценить качество решенения задачи классификации по метрике `accuracy` в зависимости от числа главных компонент. Также оцените дисперсию функции качества в зависимости от числа главных компонент.\n", "\n", "Нарисуйте график зависимости функции качества и ее дисперсии от числа главных компонент." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.metrics import accuracy_score" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5782" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca = PCA(n_components=3)\n", "used_indices = np.random.choice(np.arange(X_train.shape[0]), 10000, replace=False)\n", "X_train_lowdim = pca.fit_transform(X_train[used_indices].reshape([-1, 784]))\n", "lr = LogisticRegression()\n", "lr.fit(X_train_lowdim, y_train[used_indices])\n", "accuracy_score(y_test, lr.predict(pca.transform(X_test.reshape([-1, 784]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Используйте следующую сетку числа главных компонент: `[3, 5, 7, 12, 18, 25, 33, 40, 48, 55]`. Для ускорения сходимости можете семплировать подвыборки из `X_train`. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=3)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def step(comp):\n", " pca = PCA(n_components=comp)\n", " used_indices = np.random.choice(np.arange(X_train.shape[0]), 10000, replace=False)\n", " X_train_lowdim = pca.fit_transform(X_train[used_indices].reshape([-1, 784]))\n", " lr = LogisticRegression()\n", " lr.fit(X_train_lowdim, y_train[used_indices])\n", " return lr.predict(pca.transform(X_test.reshape([-1, 784])))\n", " \n", "def get_accuracy(comp):\n", " accuracy = []\n", " for i in range(10):\n", " accuracy.append(accuracy_score(y_test, step(comp)))\n", " return np.mean(accuracy), np.var(accuracy)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "main_components = [3, 5, 7, 12, 18, 25, 33, 40, 55]\n", "accuracy = []\n", "variances = []\n", "\n", "for comp in main_components:\n", " acc, var = get_accuracy(comp)\n", " accuracy.append(acc)\n", " variances.append(var)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pylab as plt\n", "plt.rcParams['lines.linewidth'] = 2\n", "plt.rcParams['lines.markersize'] = 12\n", "plt.rcParams['xtick.labelsize'] = 24\n", "plt.rcParams['ytick.labelsize'] = 24\n", "plt.rcParams['legend.fontsize'] = 24\n", "plt.rcParams['axes.titlesize'] = 36\n", "plt.rcParams['axes.labelsize'] = 24" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(10,10))\n", "plt.plot(main_components, accuracy)\n", "plt.grid()\n", "plt.xlabel(\"PCA\")\n", "plt.ylabel(\"Accuracy\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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k6O4doKOnn4baGqY112/zfrx4sVuJtYiIiGSgxFokSD0cxmzb9a+NdTXU1hi9A4P0DQyO9/BERESkzCmxFgnihYuZTl0EMDOVg4iIiEgiJdYiQVuWrfZizY3aGUREREQyU2ItErRtyj5jDdCsvaxFREQkgRJrkWB4xnrbPaxjTfVawCgiIiKZKbEWCdqz7GEdawmlIF09KgURERGRrSmxFglyqbFuiktB+jRjLSIiIltTYi0StKVst5ekJT7WvEeJtYiIiGxNibVI0B6228taY92gXUFEREQkMyXWIkD/wCDru3oxg5mtDYn3tWhXEBEREUmgxFoEWN/VizvMaGmgrjb5P4vmBh0QIyIiIpkpsRYB2jbF9dXJZSAwXArSrVIQERERSaPEWoSRjzOPxaUgXZqxFhERkTRKrEXIbas9SF28qMRaREREtqbEWoSUw2FGmrFu1K4gIiIikpkSaxGGS0FGnLGu164gIiIikpkSaxGGFy/OnpJ98WLz0OJFJdYiIiKyNSXWIuR26iIMl4J0qRRERERE0iixFiH3Guu4FEQz1iIiIpJOibVUPXdPSayzl4JoxlpERESSKLGWqrexu4/egUEmN9YNbaeXpEk11iIiIpJAibVUvVzrqyHlgJgeJdYiIiKyNSXWUvWGjzMfObFuqg8z1n0DDA56UcclIiIilUWJtVS99s6wh/UIW+0B1NQYk+qj/2y29GvWWkRERIYpsZaqN7SHdQ4z1qByEBEREclMibVUvbYct9qLaQGjiIiIZKLEWqpePosXIWXGWlvuiYiISAol1lL12jtCjfUIe1jH4hnrzZqxFhERkRRKrKXqDZWCTMltxrpZpSAiIiKSgRJrqXrteS5ebFYpiIiIiGSgxFqqWnfvAB09/TTU1jC1qT6nGM1Yi4iISCZKrKWqtYX66lmTGzGznGJaGqPEWjPWIiIikkqJtVS19jx3BAFoqo9KQTRjLSIiIqmUWEtVy3cPa0iZsdYBMSIiIpJCibVUtbZN8XHmecxYx9vt9akURERERIYpsZaqNnQ4TGtue1gDNNdr8aKIiIhsS4m1VLX2PPewBmhuDNvtqRREREREUiixlqo2mhrroe32VAoiIiIiKZRYS1UbTqxzLwVpadCMtYiIiGxLibVUtfaO0S9eVI21iIiIpFJiLVWrf2CQ9V29mMGMloac45q1K4iIiIhkoMRaqtb6rl7co6S6rjb3/xSaQynIZpWCiIiISAol1lK12jbFpy7mXl8NKTPWKgURERGRFEqspWq1xfXVeewIAimLF3tVCiIiIiLDlFhL1RrNVnuw9eJFdy/4uERERKQyKbGWqhUfDjMrz8S6oa6G+lqjf9DpHRgsxtBERESkAimxlqo12lIQgCYday4iIiJplFhL1YoXL86ekt/iRUjZGUSJtYiIiARKrKVqjbbGGqC5Md4ZRAsYRUREJKLEWqrWaGusQVvuiYiIyLbKPrE2s7lmdrmZrTCzLWa21sxuMrOjx9juFDO72MyeMrPNZrbezO4ws1NyjH+vmd0Z4jaHdi42s8k5xO5hZtea2Ytm1mNma8zsl2Z2QA6xDWb2RTNbZmadZrbBzO4zszPNzHKIPyY8v7bwPFeE5zsnx997gZl9J/y+nWa2MXz/IzM7Ipc2yoG7DyXWs/PcxxqGS0G6dEiMiIiIBHWlHkA2ZrYPcCcwI/xoEzATOAF4l5l9yd2/OYp2dwT+AuwaftQJTAGOAo4ysx+4+1lZ4q8GzgiX/cAWYE/gQuADZna4u69JiD0W+B3QHH60EZgLvA94j5l9zN1/lhA7heh5xAn4ZqAJODR8nWhmJ7t7xvoEM7sQuDhcDobfewFwThj3Ue7+eJbf++PA90KfAF1Affjd9wxt/jkpvpxs7O6jd2CQyY11Q9vn5SOese7WseYiIiISlO2MtZk1ATcSJdUPA4vcfSqwHXAZYMA3zOy4PNs14NdESfULwGHuPhmYDHyRKDn8tJmdkRB/FlFSPQicD7SG+MOAVUSJ6g0JsXND383AbcB8d59GlFj/nOgPnWvNbO+E4f+QKKl+DTgRaA1tnU6U3J8AfDWh7+MZTqovA6aF57kIWAbMAn5vZhnrIszs/cA1REn194Dd3L3V3ZvD+D8MLE0Yd9mJ66tnTcm/DARUCiIiIiLbKtvEGvgUsAvRrOqJ7v4EgLtvcvfziGZ9Ab6RZ7snAYcQJcYnu/vS0O4Wd/82cEW47yIza0gNDEnnV8Ll5e5+qbv3hPilwMmAA4eZ2YkZ+r6AaGb8JeDd7r4qxLYBHwUeAhqAi9IDzezNwKnh8mPufrNHBtz9utA2wLlmNjtD318Pr79z9/PcvSP0/QRRkh7PXp+Zoe/ZwH8R/THzJXc/291Xxu+7+1p3/5m7/yhDv2VpaEeQUdRXQ8quICoFERERkaCcE+vTwuv17v5yhve/HV73N7M9R9Hu7e6+LMP7lxIlx3OJSkNSHQPMDu9flh7o7g8Dt6f1A4CZ1QDvD5dXuntnWuwA8B/h8oRQ9pHqg+F1ubvfmGHcVxOVlTQB707re29g33B5SYZxrwZ+kWncwVlE/1KwHPhWhvcrTntntIf1rFHUV0PqjLVKQURERCRSlol1WAAY1xH/KeG2+4kSSdg2Ac5mcbZ2QxL/REK7R4bXxxOS/dR202MXAnPS7kl3a3htAN6W0PetZODu3cDdCX3HsRuBBxL6jsd0sJm1pr0XJ9s/dfcJcdRgoWasu1QKIiIiIkFZJtbAXkRlBzCc5G4lJHjLw+XCXBoNJQ0zs7UbPJnQbnydS+wsM5uZ8vOFGe7ZiruvA9rS7w914fGs/FjG/VSWxDiOTe0LM5sB7BEu7zGzo8zsT2b2etgN5Ukz+2ba71r2xrKHNaQsXlRiLSIiIkG5Jtbbp3yfcXeNtPe2z3JPIdvdPu39bLHp8fH3r7n7ljz7ngK05NF3Ice9R8r3xxGVuhwHxFtp7AX8H2CZme2Vpf2yMpRYj3HxYpdKQURERCQo1+32WlK+785y3+bwml66UKx24/hcYtPjc4lN6ruU456W8v2XiGbMP+Hufw114/8A/ATYAfhfM9sny3Z/ZxIWR86ZM4clS5ZkGU5xPfNi9CheWbmcJRufyzt+9Ut9AKxYtZolS9oLOrZi6ezsLOkzl4g+h9LTZ1Ae9DmUnj6DwivXxHrEg04K0K6PIb5UscXsO+m91H/VGCDaSeU5GCrH+WPY3/pmotnrk4FfZezA/WqiRZYceOCBvnjx4lzHX3AXPbQE6OKYtx3MG+aMeKbPNjY8/DI8sYxpM2azePGbCz6+YliyZAmlfOYS0edQevoMyoM+h9LTZ1B45VoKkrpjRlPiXcOHrHRmuSep3ebEu5Lb7Ux7P1tsenwusUl9j8e4U2fFk/q+JU6qU7n7LcAz4fKYLH2UjfYxL17UriDVYOlz6/jqTU/ocxYRkZyUa2KdWu87L8t98XuvjFO7a9LezxabHh/HTjezbHu8Zep7E9Eph7n2XYxxw/Bi0Uzi93bKck9Z6O4doKOnn4a6GqY21Y+qjaF9rLV4cUL7xh+f5sf3vsCP7nm+1EMREZEKUK6J9dMMlyZkPIUw1Pe+MVxm3GUjnbu3A+uytRvEu2iktxtf5xLbHnb5SI9NvWcrYWeN+HCXofvd3YGn8ug7adx7heeWLTa1L4CVDNdm51KGMppSlXHV1hH2sG5tJNpwJX/NjfHiRSXWE1VP/wBPv7oJgGvueZ7OHs1ai4hIdmWZWIdTAR8Ml8cm3HYIMDV8f0cezd+VrV0z24Hh5DW93Th2bzNLmv2Nj1hPj30KWJut75Sf9wL3JPSdNO5JwOEJfcexU4GDEvqOx/2Au8ez43Ed9ZJwme0gnviPnFVZ7ikLQ8eZj7IMBFK321OyNVE982onfQPR34kbNvfx0/teKOl4RESk/JVlYh1cH15PM7NM2+mdF14fcvdsJQpJ7R5nZvtmeP9fiBb7vcJwQhq7g2if6Zpw31ZCe3GN8c9T3wsJ6i/D5WfMrCUttgY4N1ze5O6b0pqPT0bc08xOyDDuM4gS527gt2l9Pwk8Ei7PzzDuecAHMo07+O/w+i4z2z1D/LuAN4TLP2SILyvtY9zDGqC5XqUgE91jL0fnT+00PVrmcc3dz9OlWWsREcminBPrq4hmPycDN5vZQohOZTSzSxg+tvtL6YFm5uHrKxna/T3R6YM1wG/N7NAQ02hmXwD+Odz3ZXfvTQ109x4gbvNcM/uCmTWG+LcQJbQ1wL3ufnOGvr9JVC+9M/AbM9s5xM4i2rLuIKLZ6i+nB4bj0m8Ilz8xs+NDbK2ZfYTho8a/4+5t6fEMP6f3mNkl4XRLwnO9ieg5rwR+mCH2f4CHiHaR+a2ZHRRia8zsHcC14b6/ArdkiC8rbZuiUpDR7mENw6UgSqwnrjix/uhb5vPmnafxWlcvP3+g7P9BRkRESqhsE+twRPdJwHpgf+AJM9sIbCCadXXgX9094xHfWdp14BTgeWBX4D4z6yDa/eJSomfyA3fPlGDi7lcSJZ814f6OEL80tLcSODUh9tXQ92ai0otVZraBqETkw0A/0R7RSacrnkGU4M4AbjGzLqJFjdcR7Z5yMxmS8tD3H4B/C5fnA6+H5/kE0fNdB5wU/nhIjx0E/in8bouAv5rZJqAD+CPRUe3LgVPC8y1rw6cuZltDmp12BZn4Hnt5AwCLdpjKOUdH5yRd/ZeVOm1TREQSlW1iDeDujxAlclcQJXWNRIn2LcCx7v7NUba7GtgP+DrRQsk6oiTxLuBUdz9rhPgzgfeF+ztD/NPA14D93D3xhEN3vy30/WNgNVFCvJZoNvpQd/9ZlthNwFuBC4hKOxzoAe4HPgX8Y9LhLCH+YqIa7VuA14me50qi57vI3R/PErsa2Bf4KvA40cmLDjwMXAgc6O4vJcWXk7EeZw4wqa4WM9jSN8jAYNn/LSF56ukfYPmrHQDsPW8Ki98wi313nMq6zl6u/+uLJR6diIiUq3I9IGZImOX9fPjKNWbErR5Cknph+BrNuG5guDQj39hngY+PMraXqOzjWyPdmxB/O9Gx5KOJ7SQqhfnKaOLLRXsBFi/W1BhN9bVs7h2gu2+A1say/09J8hAvXFwws4XJk6ItGc85eg8+cd2D/ODPKzjtkJ2ZVF9b4lGKiEi5KesZa5FiKEQpCKTsZa0FbRNOXF/9ph2nDv3sqD1ns/e8KbR39PA/f6uIf5wREZFxpsRaqk57x9gXL0JqnbVqbieaocR6h+HE2syGaq2vXLKCnn597iIisjUl1lJV+gcGWd/VixnMaGkYU1tKrCeu1IWLqY7daw57zp3Mq5u28KsHV5diaCIiUsaUWEtVWdfZizvMaGmkrnZs//PXziATU/rCxVQ1NVvPWvf2D477+EREpHwpsZaqUoiFi7GhGmvNWE8oQwsXZw0vXEz1jr3nssfsVl7e0M3//l2z1iIiMkyJtVSVtri+uiCJtWasJ6JM9dWpamqMs8Os9ffveo6+Ac1ai4hIRIm1VJVC7GEdU431xBTXVycl1gDvetP2LJjVwurXu/ntwy+P19BERKTMKbGWqtK2KSTWY9wRBKBJpSATUjxjnb5wMVVtjXH2UbsD0ax1v2atRUQEJdZSZdo7o1KQWa1jT6xbVAoy4WRbuJjuxH3mMX9GM6vWb+bGRxIPWxURkSqixFqqyvCM9dgOhwGVgkxEIy1cTFVXW8Pnjopqrb9353M62l5ERJRYS3UpaI11o0pBJpqRFi6mO2m/eew8vZmV67q4+VHNWouIVDsl1lJV2gt0nDloV5CJKJeFi6nqa2v47JG7AfDdO59jULPWIiJVTYm1VA13L84+1j2asZ4oclm4mO7kN+/IDtOaeK6tkz8+/mqxhiYiIhVAibVUjY3dffQODDK5sY6mMNs8FqqxnljihYtmIy9cTNVQV8Nnhmatn9WstYhIFVNiLVUjrq+eVYCt9oCh5HxznxLriSBeuLjrzJEXLqY75YAd2X7qJJ5+tYNbn1xbpBGKiEi5U2ItVWNoR5AClIEAtAyVgqjGeiJ4NM/66lSNdbWctTiatb7ijmdx16y1iEg1UmItVWP4OPOxL1wElYJMNI/nuSNIulMP3InZkxt58pVN3P4Sw/9TAAAgAElEQVRUWyGHJiIiFUKJtVSN9gJutQfaFWSiGc3CxVST6mv59BGatRYRqWZKrKVqtBVwRxBI2RVEM9YVb7QLF9N98JCdmdnayGMvb2TJ8vYCjlBERCqBEmupGkOHwxR48WK3EuuKN5aFi6miWesFAFyuWWsRkaqjxFqqRtum4tRYd/X2K4GqcGNZuJjug4fszIyWBpa9tIG7n1035vZERKRyKLGWqlHoGuv62hoaamsYdOjpHyxIm1IaY124mKq5oY4z3q5ZaxGRaqTEWqpGIU9djDU3ameQieCxAibWAB8+dBe2a67noVWvc9+K9QVpU0REyp8Sa6kK3b0DdPT001BXw9Sm0dfQpmuu184glW6rhYsFSqxbGuv45OHDs9YiIlIdlFhLVYj3sJ7V2oiZFazd5kbtDFLpUhcutobPsxA+8pZdmDKpjgeef437V2rWWkSkGiixlqpQ6B1BYjokpvIVcuFiqsmT6vnE26JZ6ys0ay0iUhWUWEtVKPTCxViTSkEqXiEXLqY7/bD5TG6sY+mK9fzthdcK3r6IiJQXJdZSFeKt9gq5cBGiWlqAzT2asa5UhV64mGpqUz0fO2w+oFlrEZFqoMRaqsJQKUiB9rCOxYfEbO5TYl2JirFwMd3H37YrLQ213P3sOv7+4utF6UNERMqDEmupCm1FKgVpiRPrHpWCVKLlr3YUZeFiqmnNDXz0rfMB+K5mrUVEJjQl1lIVird4UbuCVLJiloGk+uThC2huqOWu5e08v1H/WxERmaiUWEtVaC9yKUi3SkEqUjEXLqaa3tLAh9+yCwA3rugral8iIlI6SqylKrR3FGnxYkisu1QKUpHGa8Ya4IzDFzCpvoaH2waGEnoREZlYlFjLhNc/MMj6rl7MYEZLQ0HbblIpSMUaj4WLqWa2NvKhQ6JZ6+/d+VzR+xMRkfGnxFomvHWdvbjDjJZG6moL+z/5ocWL2se64ozHwsV0Z759AfU18H+feJWnX900Ln2KiMj4UWItE16xDoeBlO32NGNdccazDCQ2e8okFu8UJfHfvUOz1iIiE40Sa5nw2opUXw3QolKQijVeCxfTHb9rPQ21Nfzh8Vd4Zm3HuPYtIiLFpcRaJrxi7WEN0KxSkIpVihlrgO0m1fC+g3bCXbXWIiITjRJrmfDaNhVnD2tI2W5PM9YVZbwXLqb79OLdqK81bnp0Dc+1dY57/yIiUhxKrGXCi0tBCr2HNUBLWPTWpcS6opRi4WKqHaY1ccoB0az1f92lWWsRkYlCibVMeEVdvFivGetKFJeB7FOC2erYZxbvRl2N8btlL/PCuq6SjUNERApHibVMeHGNdVEWLw7NWKvGupLECxcXlTCx3ml6M+/Zf0cGHb6vWWsRkQlBibVMeMU6zhxSFy9qxrqSlGrhYrrPHLkbtTXGbx5+mZde21zSsYiIyNgpsZYJzd2HE+siLF5srKvBDHr7B+kfGCx4+1J4pV64mGqXGS380347MDDo/NcSzVqLiFQ6JdYyoW3Y3EfvwCCTJ9UxKdRDF5KZDe9l3adZ60pQ6oWL6T575G7UGPz6odWsfl2z1iIilUyJtUxo7Z3Fq6+Oacu9ylIOCxdTLZjVyj/uO4++AefKJStKPRwRERkDJdYyoQ3tYV3ExLolJNZdPVrAWAnKYeFius8dtTtmcMODL7FmQ3ephyMiIqOkxFomtGLuYR1r0rHmFaVcFi6m2n32ZN71pu3pG3Cu+rNmrUVEKpUSa5nQinmceaxFO4NUjHJauJju7KP2AOAXf3uJtZu2lHg0IiIyGkqsZUIr5o4gsaahxFqlIOUuXri4oEwWLqZ649zJvHPRXHr7B7nqzytLPRwRERkFJdYyoRXzcJhYsxYvVoxyLANJFc9a//yBVUNlTCIiUjmUWMuE1rap+DXW8XZ7XUqsy145LlxMtXDeFI5bOIee/kGuufv5Ug9HRETypMRaJrT2caixHt5uT6Ug5e7R1eU9Yw1wztHRrPV/37eK9WG7SBERqQxKrGVCayviceaxlkbNWFeCnv4BnllbngsXUy3aYSpH7zmb7r4BrrlHs9YiIpVEibVMWJt7++ns6aehroYpTcVbqNZUr11BKkE5L1xMd3aYtf7p0hd4vau3xKMREZFclX1ibWZzzexyM1thZlvMbK2Z3WRmR4+x3SlmdrGZPWVmm81svZndYWan5Bj/XjO7M8RtDu1cbGaTc4jdw8yuNbMXzazHzNaY2S/N7IAcYhvM7ItmtszMOs1sg5ndZ2ZnmpnlEH9MeH5t4XmuCM93TpaY083MR/jqHKnv8RaXgcxqbSSHRzNqzSoFqQjlvnAx1X47TeOIN8yiq3eAazVrLSJSMco6sTazfYDHgXOABUAPMBM4AbjNzC4YZbs7AsuAC4E9gQFgCnAU8Cszu3KE+KuBG4AjQ9xAaOdCYJmZzcsSe2zo++PATkA3MBd4H3C/mX0oS+wUYCnwLWBfwIAm4FDgKuBGM0ucijOzC4HbiJ7fDKLnuYDo+T5mZouy/d5AH7A2y1dZaRuHrfYAmlUKUhHKfeFiurjW+idLX2Dj5r4Sj0ZERHJRtom1mTUBNxIlgA8Di9x9KrAdcBlRUvkNMzsuz3YN+DWwK/ACcJi7TwYmA18EBoFPm9kZCfFnAWeE+84HWkP8YcAqokT1hoTYuaHvZqIEd767TyNKrH8O1AHXmtneCcP/IXAA8BpwItAa2jod2EKUMH81oe/jgYvD5WXAtPA8FxEl+rOA35tZtix0qbvPTfjaLUtcSYzHceYAzfXabq8SVMLCxVQH7LIdb9t9Jp09/fzoXs1ai4hUgrJNrIFPAbsAncCJ7v4EgLtvcvfzgN+F+76RZ7snAYcQJcYnu/vS0O4Wd/82cEW47yIza0gNDEnnV8Ll5e5+qbv3hPilwMmAA4eZ2YkZ+r6AaIb7JeDd7r4qxLYBHwUeAhqAi9IDzezNwKnh8mPufrNHBtz9utA2wLlmNjtD318Pr79z9/PcvSP0/QRRkt5J9EfBmRliK1L7OBxnDtDSGCXWXT0qBSlXlbJwMV08a/2je59n0xbNWouIlLtyTqxPC6/Xu/vLGd7/dnjd38z2HEW7t7v7sgzvX0qUHM8lKg1JdQwwO7x/WXqguz8M3J7WDwBmVgO8P1xe6e6dabEDwH+EyxNC2UeqD4bX5e5+Y4ZxXw1sJCoNeXda33sTlY4AXJJh3KuBX2QadyUbj8NhAJrCPtbdfZqxLleVtHAx1cG7TufQBdPp2NLPdfe+UOrhiIjICMoysQ4LAOOFfH9KuO1+okQStk2As1mcrd2QxD+R0O6R4fXxhGQ/td302IXAnLR70t0aXhuAtyX0fSsZuHs3cHdC33HsRuCBhL7jMR1sZq0J91SUtnHYwxqgpUG7gpS7Slq4mC6etb7mnufp1L+KiIiUtbJMrIG9iGqoYTjJ3Yq7DwLLw+XCXBoNJRIzs7UbPJnQbnydS+wsM5uZ8vOFGe7ZiruvA9rS7w914fGs/FjG/VR4btliU/tKt7eZPWFm3WbWYWaPm9l3zGzXLGMqmfFavBgfEKNSkPL12OrKWriY6i0LZnDw/Ols7O7jp/e9UOrhiIhIFuWaWG+f8v2aLPfF722f5Z5Ctrt92vvZYtPj4+9fc/ctefY9BWjJo+9CjjvVTKI/ejYDk4C9gX8GnjCzDybElMx4HGcO0KxSkLJXyTPWZjY8a3338/oDTkSkjJVrsWFLyvfdWe7bHF5zLV0Ya7txfC6x6fG5xCb1XcpxQ5R0fxn4X+BZd+8NCzmPJqp1Xwj81MxWu/tfkjowszMJiyPnzJnDkiVLsgxn7Na81gXAc489xLpni/c35IYt0T8CvN7RXfTfaSw6OzvLenzF0jfoPP3KZgx4beWjLHmxeHua52I0n4O7s/u0Gp7b0MtF19/FO3etL87gqkS1/rdQbvQ5lJ4+g8Ir18S6WP+fL7VdH0N8qWKL2Xfie+5+K2m13WE3lD+Y2b3Ag8DuwDeBt2Zp52qiRZYceOCBvnjx4lzGPir9A4N0/OmPmMEJxy6mrrZ4iXXHlj5YcisD1FDM32mslixZUtbjK5ZHV29g4NZ72W1WC+88ZnGphzPqz8HmtXH6j//GHS/DV047fKgESfJXrf8tlBt9DqWnz6Dw8so2zKzRzBaY2Q4Z3msys6+Z2T1m9jcz+3czax7luFJ3zGjKcl/cfq6n/qXel21sSe12pr2fLTY9PpfYpL7HY9yps+I5n6Lo7hsZ3srvUDOblWtsMa3r7MUdZrQ0FjWphuFSkM19A7iP5u8eKaZKLgNJdcQbZrHvjlNZ19nLzx9YVerhiIhIBvlmHJ8CniUqCxgStpJbQrSX8luJdvT4EtHpiKOZVkmt9008xTDlvVfGqd01ae9ni02Pj2Onm1m2ot9MfW8CuvLou5DjzkW804gB8/OMLYq2oT2si7twEaC2xmisq8EdtvQlrQ2VUqnkhYupUmutr/rLSraopl9EpOzkm1i/I7z+d9rP3wccRHRE9qXAvwMdREdtf3IU43qa4dKEjKcQhmT+jeEy4y4b6dy9HViXrd0g3kUjvd34OpfY9rDLR3ps6j1bCbuIxIe7DN3v0TToU3n0nTTuvcJzyxab2leuxlqqUnDt47QjSKx5aMs9LSwrN/GM9T47TivxSMbuqD1ns/e8KbR39PDLv75Y6uGIiEiafBPrOJF9OO3nHyBKqP5/d/+iu3+Z6NhvC+/lJZwK+GC4PDbhtkOAeArqjjyavytbu6HMJU5e09uNY/c2s6TZ3/iI9fTYp4C12fpO+XkvcE9C30njngQcntB3HDuV6A+gTOJxP+DuXQn3JDk45fuy+Dfq8drDOjZUDqK9rMvKVicuzks/c6nypM5aX/nnFZq1FhEpM/km1rOAjtRTA8Mey0eEy9SZ7N8RHRu+aJRjuz68nmZmmbZ/Oy+8PuTuyzO8P1K7x5nZvhne/xeiPwheYTghjd1BtM90TbhvK6G9Y8Llz1PfC/tH/zJcfsbMWtJia4Bzw+VN7r4prfn4ZMQ9zeyEDOM+gyhx7gZ+m9b3k8Aj4fL8DOOex/AfQD9Pey/rQtJwQmR8nPpfw78KlFzbpvE5dTHWrENiylLqiYstFXTiYjbH7jWHPedOZu2mHn710OpSD0dERFLkm1g3AOn7PL0JmAw87e7xjCzu3gdsCO+NxlVEs5+TgZvNbCFEpzKa2SUMH9v9pfRAM/Pw9ZUM7f6eqCa4BvitmR0aYhrN7AtE+zIDfNnde1MDw04YcZvnmtkXwrZzmNlbiBLaGuBed785Q9/fJKqX3hn4jZntHGJnAT8hmk3uJa2GPfT9MHBDuPyJmR0fYmvN7CPAt8J733H3tvR4hp/Te8zsknC6JeG53kT0nFcCP0yL28XM7jezT8TjDXENZvYO4F7gDUR/RP1rhn5LYrjGurh7WMeaQ9LWpVKQsjJRFi6mqqlJmbW+6zl6+1XXLyJSLvJNrF8BJpnZbik/i2dP785wfwvw2mgGFo7oPglYD+xPdAjJRqJk/Xyi0pN/DVvB5dOuA6cAzwO7AveZWQfRThiXEj2TH7h7eoIZx19JlHzWhPs7QvzS0N5K4NSE2FdD35uJSi9WmdkGohKRDwP9wCfcPel0xTOAh4AZwC1m1kW0qPE6ot1TbiZDUh76/gPwb+HyfOD18DyfIHq+64CTwh8P6Q4Brgnj7TazdUTP649E/yKxGTjd3e9MGPe4G/dSkPpoxrpbM9ZlZaIsXEz3jr3n8oY5razZuIX//btmrUVEykW+iXVc93uJmW0XZjs/R5Tk/jH1RjPbHWgk+2l/Wbn7I0SJ2xVECWsjUaJ9C3Csu39zlO2uBvYj2ibuaaL9vDuISj9OdfezRog/k2jB5l1ECWZdaOdrwH7unvg7u/ttoe8fA6uJEuK1RLPRh7r7z7LEbiLadeUCotIOJ1owej/Rji3/6O6JU6bufjFRjfYtwOtEz3Ml0fNd5O6PZwhbC5wTxrecKImeGl4fJJopX+ju6QtaS2q8Fy+2NKoUpBxNpIWLqWpqjLOPimatv3/Xc/QNaNZaRKQc5Ft0eBlRQvlP4QuieuSnicoJUr0zvP511KNjaJb38+Er15gRD5gJSeqF4Ws047qB4dKMfGOfBT4+ytheomT2WyPdmxB/O3B7Hvd3A98NXxUjTqxntY5PKUjT0OJFlYKUi4m2cDHd8W/anv+8/RlWtHfx24df5tQDdyr1kEREql5eM9buvgx4D9FMa5y83g2cGBbnpTojvN42phGK5Mndx3+7vXrNWJebibhwMVVt2qx1v2atRURKLu8j6dz9JnffBdgBmOLuR7j7itR7zKwO+BjRYrxbCjJSkRxt2NxH78AgkyfVMal+fI59bg6lIF09mrEuF4+unngLF9OdsM/27DqzhVXrN/P7ZaOuuhMRkQIZ9VnP7v5K0n7H7t7v7g+Fr0yL4USKpr6uhotO2pvPh50TxkO83Z4WL5aPx+MdQSZYfXWqutoaPnvk7gB8767nGBgsi/OZRESq1qgTawAzm2Fm+5nZWws1IJGxam2s4yNvmc8nD18wbn3GB8R0KbEuGxNxq71MTtpvHjtPb+b5dV3c/KhmrUVESmlUibWZvcfM/k50WMpDwF/S3p9mZn80s/9rZq0FGKdIWRuesVYpSDmY6AsXU9XX1vDZI6MdUL97p2atRURKKe/E2swuJtoNYz+ifZed4YWMALj7BqJt8Y4FThz7MEXKm05eLC8TfeFiupPfvCM7TGviubZO/vj4K6UejohI1corsTazY4hO8OsEPgi0AklHWF9HlHC/O+F9kQmjeWi7PSXW5aAaFi6maqir4TPxrPUdzzGoWWsRkZLId8b6bKIZ6vPd/Zfh2PIkS8O9B4x2cCKVYnjGWqUg5aAaFi6mO+WAHdl+6iSWr+3g1idfLfVwRESqUr6J9SHhNfF0wFjYMWQjMDffQYlUGi1eLC/VsnAxVWNdLZ9ZHM1aX37Hc7hr1lpEZLzlm1hvB2xy98053j8+mwiLlJi22ysfW/qqZ+FiuvceuBNzpjTy1CubuP2ptlIPR0Sk6uSbWL8GTDGz5pFuNLP5wGRA/yYpE15Lo0pBykW1LVxMNam+lk8fEc1aX3HHs5q1FhEZZ/km1n8Lr8fncO+54fWePPsQqThNWrxYNuIykH2qqL461QcO3pmZrY089vJG7lquWWsRkfGUb2J9DdFOH183sx0z3WBmNWZ2AcMLHa8a2xBFyl9zvbbbKxfxwsVFVVRfnSqatY4OR1KttYjI+MorsXb3G4H/AXYHHjazq4BmADP7tJldAawEvhZCfuju9xZwvCJlqVmlIGWjGhcupvvgITszo6WBR17awF+eXVfq4YiIVI3RnLz4EeD7wHTgDKI6asLPPgvsHK4vD9ciE15DbQ21NUbfgNPbP1jq4VStal64mKq5oY4z3h5mrW9/RrPWIiLjJO/E2t373P1sYCHwLaLjzJ8jmqm+D7gM2Mfdz3V3/bu4VAUz084gZaCaFy6m+/Chu7Bdcz1/f3EDS1esL/VwRESqwmhmrAFw9+Xu/q/uvtjd3+jue7j729z9fHd/opCDFKkEQ4fE9KkcpFSqfeFiqpbGOj55eFxr/WyJRyMiUh1GnViLyNZ0rHnpVfvCxXQfecsuTJlUx1+ff437V2rWWkSk2PJKrM1skpm91czenMO9+4d7J41+eCKVY2jGukeJdalo4eLWJk+q5xNvi2atr9CstYhI0eU7Y30acDfRAsaRnBXufV++gxKpREOJtXYGKQktXMzs9MPmM3lSHUtXrOdvL7xW6uGIiExo+SbW7w2vP8vh3njP61Pz7EOkIqkUpLTihYu7zWqt+oWLqaY21fOxw3YFNGstIlJs+SbWe4bXXBYnPkJ0QMxeefYhUpGGZ6yVWJeCykCSffyw+bQ21nH3s+v4+4uvl3o4IiITVr6J9Vxgg7tvGenGcM+GECMy4Q3PWKsUpBS0cDHZtOYGPvrWXQDNWouIFFO+iXUHMCWXBYnhnilA92gGJlJpNGNdWpqxzu4Tb1tAc0MtS5a388hLG0o9HBGRCSnfxPrREHNyDve+G6glt7IRkYqnxLp0tvQNsPxVLVzMZnpLAx9+SzRr/d07NWstIlIM+SbWvyJakPgdM9sz6SYz2wv4D6Ia61+NfngilUOlIKWz/NUO+ge1cHEkZxy+gEn1Ndz+VNtQ6YyIiBROvon1tcBjwGzgQTP7TzP7BzPbK3y9w8yuAB4M9zwJXFXYIYuUJ81Yl47KQHIzs7WRDx2iWWsRkWLJK7F29z7geKKSkGbgbOAPwOPh6xbgs0ATUQL+LnfvLeSARcpVc6P2sS4VLVzM3ZlvX0BjXQ1/emItT72yqdTDERGZUPI+0tzdXwYOAf4Z+DswSFQeYuH7vwOfBw529xcLN1SR8qYZ69LRjHXuZk+ZxAcO3hmA7935XIlHIyIyseSdWAO4e4+7X+HuBwEtwI7ATkCLux/k7t91955CDlSk3DXV64CYUtDCxfydtXg3Gupq+MPjr/DM2o5SD0dEZMIYVWKdyt173X2Nu7+ssg+pZi0qBSkJLVzM35wpk3j/QTvhrllrEZFCGnNiLSIRlYKUhspARufTR+xGfa1x06NreK6ts9TDERGZEEY1vWNmRlRnvQjYDqjPdr+7f300/YhUkqHt9nqUWI8nLVwcnXnTmnjvgTtx/QMv8v27nuM779uv1EMSEal4eSfWZnYi8D2iuuoRbyfay1qJtUx4QzPWfSoFGU+PrtaM9WiddcRu3PC3l/j9spc55+g92HVmS6mHJCJS0fJKrM3sKOC3RCUkfcBDwMvAlsIPTaSyxDPW3SoFGTdb+gZ4Zq0WLo7WTtObec/+O/I/D77E9+96jkvfu2+phyQiUtHynbH+ElFSfTfwwbD1nogwPGPdpVKQcRMvXNx9thYujtZnjtyNX/99Nb99+GXOOWoPdp7RXOohiYhUrHwXLx5IVNrxUSXVIltrqo8S6+6+AQYHvcSjqQ5auDh2u8xo4Z/224GBQee/lmiHEBGRscg3sa4FOtz9hSKMRaSi1dTYVsm1FJ8WLhbGZ4/cjRqDXz+0mtWvby71cEREKla+ifVTQJOZTSrGYEQqnbbcG19auFgYC2a18o/7zqN/0LlyyYpSD0dEpGLlm1hfSbS13mlFGItIxWvWITHjRgsXC+tzR+2OGdzw4Eus2dBd6uGIiFSkvBJrd/8x8BPgcjM7pSgjEqlgzTrWfNzoxMXC2n32ZE7YZx59A85Vf9astYjIaOS73d7VQD/QC/yPma0EHgQ6soS5u39q9EMUqRxNKgUZN1q4WHhnH7U7Nz2yhl/87SU+c+TuzJmiqj8RkXzkO83zSaJdQSxc7xa+snFAibVUhRaVgoybx1Zr4WKhvWHOZI5/01z+8Nir/ODPK/jyiXuXekgiIhUl38T6a0UZhcgE0aRSkHETz1jvs6MS60L63JF78IfHXuX6B17krMW7MXuyZq1FRHKVV2Lt7v9WrIGITASasR4fqQsXF26vhYuFtHDeFI5bOIdbn1zLD/+ykgvftbDUQxIRqRj57goiIllou73xoYWLxXXO0XsA8LP7X2RdZ0+JRyMiUjmUWIsUUHNDlOR1K7EuKi1cLK5FO0zl6D1n0903wDV3P1/q4YiIVIwxTfWY2UxgHtDC8ILGbbj70rH0I1Ip4hnrrh4l1sWkhYvFd/bRe3DH02389L4XOPPtC5je0lDqIYmIlL28E2szM+Ac4DPA7jmE+Gj6EalEQ9vt9anGupi0cLH49ttpGke8YRZ/fqadH93zPOf9wxtLPSQRkbKXVylISKp/A/wHsAfQSTRT7cBaoC9cG9ANrAFeKeB4RcpaSygF2awZ66LRwsXxE9da/2TpC2zc3Ffi0YiIlL98a6xPB04C2oAjgWnh523uPg9oBY4B7iNKri9w950KM1SR8qcDYopPCxfHzwG7bMfhe8yks6efH92rWmsRkZHkm1h/mGh2+nx3/7O7e+qb7t7v7ncCbwfuAX5sZgcXZqgi5W9oxlrb7RWNFi6Or3jW+kf3Ps/Gbs1ai4hkk29ivU94/d+0n9emXrj7AHAuUW31eaMbmkjl0XZ7xRcvXFRiPT4Omj+dtyyYQceWfq5b+kKphyMiUtbyTaxbgY3u3p3ysx5gcvqN7v4ksAl42+iHJ1JZ4lIQbbdXPEMz1lq4OG7iWetr73meji2atRYRSZJvYr0WaA2LGGPtQKOZzUu90cxqgCZg+lgGaGZzzexyM1thZlvMbK2Z3WRmR4+x3SlmdrGZPWVmm81svZndYWan5Bj/XjO7M8RtDu1cbGbb/JGRIXYPM7vWzF40sx4zW2NmvzSzA3KIbTCzL5rZMjPrNLMNZnafmZ2Z9rkkxR8Tnl9beJ4rwvOdk8vvndJOq5m9ZGYevk7PJ36iiktBulQKUhRauFgahy6YzsHzp7Oxu4+f3req1MMRESlb+SbWLxKVfaQm0X8Pryel3Xs8UE+00HFUzGwf4HGi7f0WEM2OzwROAG4zswtG2e6OwDLgQmBPYACYAhwF/MrMrhwh/mrgBqIFnFNC/J6hvWXpf2SkxR4b+v44sBPR7ilzgfcB95vZh7LETgGWAt8C9iVaINoEHApcBdxoZomruczsQuA2ouc3g+h5LiB6vo+Z2aJsv3eai4Ed87i/KmjGuri0cLE0zGxo1vqau1fS1aM/HEVEMsk3sb49vB6T8rPriRK8b5nZuWZ2pJmdA1xHtNDxptEMzMyagBuJEsCHgUXuPhXYDrgs9PkNMzsuz3YN+DWwK/ACcJi7TyYqZ/kiMAh82szOSIg/Czgj3Hc+0BriDwNWESWqNyTEzg19NxMluPPdfRpRYv1zopr0a81s74Th/xA4AHgNOJGoNKeZaLeWLUQJ81cT+j6eKBmG6PlNC89zEVGiPwv4vZk1JvSd2iuDk4QAACAASURBVNb+wOeAB0a6t9q0NIYDYjRjXRSPauFiyRy2+wz233kar2/WrLWISJJ8E+vfAB2kzE67+w1EyXMrcClR8v0dogT4eeDLoxzbp4BdiPbKPtHdnwj9bXL384Dfhfu+kWe7JwGHECXGJ8enQrr7Fnf/NnBFuO8iM9vqqLGQdH4lXF7u7pe6e0+IXwqcTPTHxGFmdmKGvi8gmuF+CXi3u68KsW3AR4GHgAbgovRAM3szcGq4/Ji73+yRAXe/LrQNcK6Zzc7Q99fD6+/c/Tx37wh9P0GUpHcS/VFwZobY1HHUEM2OA5yV7d5q1Fwf7wqiGetieFwLF0vGzPj8MW8A4Kq/rFCttYhIBnkl1u7+mLtPc/d3p731HuDzRFvsvQA8AnwbONjd141ybKeF1+vd/eUM7387vO5vZnuOot3b3X1ZhvcvJUqO5xKVhqQ6Bpgd3r8sPdDdH2Z4Vv+01PdCQvr+cHmlu3emxQ4QHbwDcEIo+0j1wfC63N1vzDDuq4GNRKUhW30+YQZ833B5SYZxrwZ+kWncGZwNHBh+h4dHuLfqpJaCpO1GKQWghYul9fY9ZnLQ/O3YsLmPa+/RvtYiIunynbHOKOxf/V13P8Ldd3P3/d39/7j7a6NpLywAjBfy/SnhtvuJEknYNgHOZnG2dkMS/0RCu0eG18cTkv3UdtNjFwJz0u5Jd2t4bWDb3VSOTLtnK2GnlrsT+o5jN5JcvhGP6WAza810g5ntAPw70SLW/y+hnarWUFdDfa3RP+j0DgyWejgTihYulp6Zcd5x0dHm19z9PK939ZZ4RCIi5aUgiXUR7EVUQw3DSe5W3H0QWB4uF+bSaCiRmJmt3eDJhHbj61xiZ5nZzJSfL8xwz1bC7H682HPo/lAXHs/Kj2XcT4Xnli02ta903yWqRT/P3Tcm3FP1muq1gLEYtHCxPByyYMbQaYxX/WVlqYcjIlJWyjWx3j7l+zVZ7ovf2z7LPYVsd/u097PFpsfH37/m7lvy7HsK0JJH34UcNwChZvxkYIm7/yxLO1UvTvq6lFgXVLxwcR/VV5dcPGv9k6XP09aR7f+ciYhUl2xbs8U1vRvd/Za0n+XF3a/PM6Ql5fvuxLtgc3jNWLpQhHbj+Fxi0+NziU3qu5TjxsxagO8BfcBns7SRlZmdSVgcOWfOHJYsWTLapsqa9/cA8Od77mNea/n87drZ2VnRz/y2x6PnOqm7vaJ/j0r/HGJvnl3Lw20DfOm//8yHFo64mVBZmSifQaXT51B6+gwKL9u/p/6MaJHecuCWtJ/lK9/EesSDTkYptd3R/B5xfKlii9l3tvcuAnYGLgknao6Ku19NtMiSAw880BcvXjzapsrarMfu4dWujey97/7su9O0Ug9nyJIlS6jkZ37JI3cDmzh58QEcNH9M506VVKV/DrG5e27inZffzV9eHuSrHzyEHaY1lXpIOZson0Gl0+dQevoMCi9bYr2UKNlaleFnxZa6Y0YT0RZ/mTRnuD/XdpsT70putzPt/Wyx6fG5xCb1PR7jTp0VH4o3s/2Idnx5iQzbAMq24p1BtOVe4WjhYvnZc+4UTtxnHjc+sobv3vEs33zPPqUekohIySUm1u6evitFxp8VSWq97zyGFymmi084fGWU7T6WZ7trgP3Y+uTJpNj0+Ljv6WY2KUuddaa+NwFdRMlvLn1nGnf62JJi0+MvJzpt80KidZRJZTeN4b1Bd9+ccE9VaI633OvTITGF8nRYuLj7bC1cLCf/fMwe3PLYK/zqodV86ojd2HVmy8hBIiITWPkUgG7taYZnxjOeQhj2hX5juMypPMHd24F4X+2k0w1heBeN9Hbj61xi29P28H4ywz1bCbuIxIe7DN3v0YbIT+XRd9K49wrPLVtsal8QHdID8FOifzlI/4r9IFyPulRkomhpCIsXezRjXSiPaeFiWVowq5X37L8DA4POf97+TKmHIyJScnkl1mbWbmZrzWxBsQYEEE4FfDBcHptw2yFA/P9l78ij+buytRv2ao6T1/R249i9zSxp9jc+Yj099imi/Z8T+075eS/RYTuZ+k4a9yTg8IS+49ipwEEJfcfjfsDduxLukRykHhIjhRGfuLhIiXXZOefoPaivNW58ZA3LX/1/7N13fNXl+f/x15U9IGzC3gEEBAEVERBRwDpwUbXaYdW6qsVtbf21tdZqVbSi1m2rfqt11QVqZSgKgqjI3jKUIWFDCJCE5P798fmcEOM5WSQ56/18PPI4nJzPfX8uThhX7lzXfYeq2hMRiQ/VXbHOBFKdc/WxeWmg4fGnZhZsO72b/ce5zrlQpSIVzTvazPoFef1GvGa/7ziUkAZMw9tnOsG/7nv8+Ub6T18s+5q/f/TL/tNf+zttlB2bANzgP53onNtTbvrAyYg9zeyMIHFfjpc47wfeLHfvpXinYQLcEiTuNsCFIeLu5JyzUB9lLr3E/1ynILHFlUw/sc4vVClIbdGJi5GrXZMMLjq2A87Bg1Oq80+xiEjsqW5i/S2QXBeBBPEkXuNkQ2CSmfUC71RGM7uPQ8d2/778QDNz/scdQeZ9G+/0wQTgTTM7zh+TamY3Adf71/3JOfe9Y8WccwVAYM4bzOwmM0v1xw/GS2gTgE+dc5OC3PtvePXSHYA3zKyDP7YF8BzeanIh8KfyA/3jw1/1nz5nZqf5YxPN7BfAvf5rf3fObSk/nkPv01gzu88/3RL/fZ2I9z6vAZ4OMlaqId0vBVHzYu1Q42Lku2ZEN9KSE/hgSS4LN+wKdzgiImFT3cR6IpBmZifXRTBl+Ud0nwVsBwYAS8xsN7ALb9XVAb9zzgU94ruCeR3wY2At0BmYbWZ5eDthjMd7T55wzgVNMJ1zj+Mlnwn+9Xn++Fn+fGuA80OM3ezfex9e6cU3ZrYLr0Tk58BB4DLnXKjTFS8H5gLNgHfNLB+vqfF5vN1TJhEkKffv/R7wB//pLcBO//1cgvf+bgPO8r95kMOQqVKQWlXauKgTFyNWy6w0Lh7cCYDxk1VrLSLxq7qJ9V/xVq2fNrPudRDP9zjnFgB9gIfxEtZUvET7XWCUc+5vNZx3A97uHnfjNUom4TXefQSc75y7upLxVwAX+Nfv9ccvx3t/jnLOhTzh0Dk3xb/3v4ANeAlxLt5q9HEVnWrol4ccD9yGV9rhgALgM+BK4EznXMj6A+fcXXg12u8CO/HezzV4728f59ziin7fUjXpKgWpVaVlIKqvjmhXDe9Kg9QkPlm5lc/X7gh3OCIiYVHd5Z/TgEfwyiEWmNkkYDawFQi5PFeDkxfLjt2Mt4/yddUYU+kBM36Serv/UZO4XuVQaUZ1x64CLq3h2EK8so97K7s2xPipwNSajA0xX10d5hO1MvxSEK1Y1w41LkaHJpkpXDa0MxOmrWL8Byt45crjMNM/DyISX6qbWAdOXgz8a3kuh2qdK1LjxFok2mSmBlaslVjXBjUuRo/LhnXm+dnr+HzdDmas2sYJ3VuEOyQRkXpV3cS6vk5eFIla6cmBGmuVghwuNS5Gl6y0ZK48oSv3/m854yevYFhOc61ai0hcqVZiXY8nL4pErUCDnQ6IOXyBxsUcnbgYNS4+viPPzlzLwg27mbI0l9G9W4U7JBGRehOpJy+KRK1A8+K+IiXWh0uNi9EnIyWJa0d0BeDBKSspKdEPOUUkfiixFqllGSkqBaktalyMThcO6kCbRmks35zHxIUhN0kSEYk5SqxFallmikpBaosaF6NTalIi407OAeChqas4WFwS5ohEROpHjRJrM+tvZk+a2WIz22FmBWZWGOJDB45IXAmUguxXKchhCTQuJqhxMSqNHdiOTs0yWLstnze+2hjucERE6kW1E2szuxn4HO8UwF5AY7xjzpNCfNTXEegiEeHQirVKQQ5HoHGxq05cjErJiQncMMo7R2zCtFUUHNQ3miIS+6qVWJvZcOA+/+mdwLH+r7cCPYHhwF+AHXhHZJ8N5NRKpCJRIi05ATMoOFhCsRq3akyNi9HvjL5t6J7dgI279vPy5+vDHY6ISJ2r7or1OLx9rP/snLvDOfel//li59xK59wM59yf8I7s3g08DeyvvXBFIp+ZkZGscpDDpcbF6JeYYNw4qgcAj370tU4jFZGYV93E+jj/8cmK5nHObQB+DbQAfl+z0ESiV7pfDrJP5SA1psbF2HBK72z6tmvE1rwCXpi9LtzhiIjUqeom1s2AfOfc1jKfOwhkBLl2KnAAOLWGsYlErcCWe/u0QlcjalyMHWbGTaO9VevHP15N3oGiMEckIlJ3qptY7+KHpzXuBDLN7Hv/+znnHFAMtK55eCLRKZBY52sv6xpR42JsOSGnOcd0asKufUU8O3NtuMMREakz1U2sNwKpZta8zOeW+Y/Dy15oZn2BTGBfzcMTiU6HDonRinVNqHExtpgZN/ur1s/MWMvO/MIwRyQiUjeqm1jP8h+PLvO5dwADHvD3t07wk+rn8BodPznsKEWiTGCVNV+JdY2ocTH2DOrSjGE5zdlbcJAnP1kT7nBEROpEdRPrN/GS6F+U+dzjwGqgG/AlUATMw9sZ5ADw58MPUyS6pCfrWPPDsdBfse6rxsWYEli1fm7WWrbkHQhzNCIita+6ifV0oD/eHtYAOOf245WBvImXVJv/8QUw0jm3oFYiFYkial6suQNFxawKNC62UeNiLOnXvjGjemVzoKiExz5aHe5wRERqXYWJdZCGxBLn3ALn3PJyn9/knBsLNAI6Ak2cc4Occ7NrPWKRKJChUpAaK9u4mJGixsVYc9Po7pjBS3O+ZeMuHXMgIrGlshXrzWb2kpn9yMysssmccwXOufXOud21FJ9IVMpQKUiNqXExtvVslcWYvm0oLC7hkWmrwh2OiEitqiyxTgMuAN4FNpjZvWbWu+7DEolupSvWBVqxri41Lsa+60fmkJhgvDZ3A2u35Yc7HBGRWlNZYv0bvFppw9uP+mZgoZl9aWbXltt2T0R8pdvt6UjzalPjYuzr0qIBYwe0pbjE8dDUleEOR0Sk1lSYWDvn/uGcOw7oCdwDrMdLsgcAE4CNZvammZ1jZiqGFPFlljYvqhSkOtS4GD/GnZxDcqLxzoJNrNicF+5wRERqRZV2BXHOrXTO3e6c6wScBDwP7AWSgTOB14HvzOxhMzs69Ewi8SHdb7rbp1KQalHjYvxo1ySDi47tgHPw4JQV4Q5HRKRWVHe7PZxz051zlwCtgJ8BU4ASoBlwDTDHzJaY2S1m1qZWoxWJEtpur2bUuBhfrhnRjbTkBD5YksvCDbvCHY6IyGGrdmId4Jzb75x7yTn3I6A98FtgMV6pyBHA34BvzOx/tRKpSBQJJNb5KgWplkDj4pGqr44LLbPSuHhwJwDGT1attYhEvxon1mU55zY75+53zvXDq79+HO8480RgVG3cQySaBMoY9mvFuloWasU67lw1vCsNUpP4ZOVWPl+7I9zhiIgcllpJrAPM7DjgCrwt+ird91okVh1asVZiXVVqXIxPTTJTuGxoZwDGT16Bcy7MEYmI1NxhJ9Zm1snM/mBmK4FPgSuBpsBB4C3g3MO9h0i0Kd1uT6UgVabGxfh12bDONEpP5vO1O5ixalu4wxERqbEaJdZmlmVmvzKzT4DVwB1AN7xV6q+AcUAb59y5zrm3aytYkWgRSAzVvFh1alyMX1lpyVw1vCugVWsRiW5VTqzNLMHMTjezV4DNwJPAULxkejNwP9DHOXeMc+5R59z2OolYJApkpGpXkOpa5O8KocbF+HTx8R1p3iCVhRt2M2VpbrjDERGpkUoTazMbYGYPAZuAd4Af4x11XgC8ApwGtHfO/dY5t7QugxWJFhnJhw6I0epb1SzauAfQinW8ykhJ4toR3qr1g1NWUlKivzciEn0qTKzNbDHekea/AVrirU7PxqujbuWcu9A59z/nXEmdRyoSRZISE0hJSqDEQcFB/fWojBoXBeDCQR1o0yiN5ZvzmLhwU7jDERGptspWrHvhJdPfAncBOc65oc65p51ze+o8OpEopkNiqk6NiwKQmpTIuJNzAHho6ioOFuubUhGJLpUl1i8AJznnOjvn/uicW10fQYnEgszSBkbtDFKZ0sZF1VfHvbED29GpWQZrt+Xzxlcbwx2OiEi1VJhYO+d+6ZybXk+xiMSUdK1YV1lp46Lqq+NecmICN4zqDsCEaasoOKi/PyISPWr1gBgROUSlIFWnxkUp64y+beie3YCNu/bz8ufrwx2OiEiVKbEWqSOliXWBSkEqosZFKS8xwbhxVA8AHv3oa/brm1MRiRJKrEXqiA6JqRo1Lkowp/TOpm+7RmzNK+CF2evCHY6ISJUosRapI4EV63w1L1ZIB8NIMGbGTaO9VevHP15N3oGiMEckIlI5JdYidSSQWOvH2BXTUeYSygk5zTmmUxN27Svi2Zlrwx2OiEillFiL1BGVglSNGhclFDPjZn/V+tkZa9mZXxjmiEREKqbEWqSOHNoVRKUgoahxUSozqEszhuU0J6/gIE9+sibc4YiIVEiJtUgd0XZ7lQs0LnZrqcZFCS1Qa/3crLVsyTsQ5mhEREJTYi1SR1QKUrlA42IflYFIBY5q35hRvbI5UFTCYx/pAGARiVxKrEXqiEpBKqfGRamqm0Z3xwxemvMtG3ftD3c4IiJBKbEWqSMZqVqxrowaF6WqerbKYkzfNhQWl/DItFXhDkdEJCgl1iJ1JCNZNdYVUeOiVNf1I3NITDBem7uBtdvywx2OiMgPKLEWqSMqBamYGhelurq0aMDYAW0pLnFMmLoy3OGIiPyAEmuROqJSkIqpcVFqYtzJOSQnGm8v2MSKzXnhDkdE5HuUWIvUEW23VzE1LkpNtGuSwUXHdsA5eHDKinCHIyLyPUqsRepIaWJdoFKQYNS4KDV1zYhupCUn8MGSXBb6P/kQEYkESqxF6kjpPtZFWrEuT42LcjhaZqVx8eBOADwwWbXWIhI5lFiL1BGVgoS27Ls9alyUw3LV8K40SE3i45Vb+WLdjnCHIyICKLEWqTOpSQkkGBQeLOFgcUm4w4koi/36ajUuSk01yUzhsqGdAbj/gxU458IckYhIFCTWZtbKzCaY2WozO2BmuWY20cxOPsx5s8zsLjNbZmb7zGy7mU0zsx9Xcfx5ZvahP26fP89dZtawCmNzzOxZM/vWzArMbJOZvWxmA6swNsXMbjWz+Wa218x2mdlsM7vCzKwK40f6798W//1c7b+/2RWMOdrM/mJm/zOzr81stx/3RjN728zOruy+8cjMVA4SghoXpTZcNqwzjdKT+XztDmas2hbucEREIjuxNrO+wGJgHNAFKACaA2cAU8zsthrO2w6YD9wO9ASKgSzgJOA1M3u8kvFPAa8CI/xxxf48twPzzaxNBWNH+fe+FGgP7AdaARcAn5nZzyoYmwXMAu4F+gEGpAPHAU8C75hZyJ+rm9ntwBS8968Z3vvZBe/9XWRmfUIM/RXw/4BTgK54f25KgDbAmcCbZva6mSWHune8OtTAqMS6LDUuSm3ISkvmquFdAXhgslatRST8IjaxNrN04B28BHAe0Mc51whoAjyAl1TeY2ajqzmvAa8DnYF1wBDnXEOgIXArXsJ4lZldHmL81cDl/nW3AA388UOAb/AS1VdDjG3l3zsDL8Ht5JxrjJdYvwgkAc+aWe8Q4T8NDAR2AGOABv5cvwQO4CXMfw5x79OAu/ynDwCN/fezD16i3wJ428xSgwyfDdzg37uhc66hcy4d6ADc718zFqjRNzqxTIfE/JAaF6U2XXx8R5o3SGXBht1MWZob7nBEJM5FbGINXAl0BPYCY5xzSwCcc3ucczcDb/nX3VPNec8CBuElxuc452b58x5wzt0PPOxfd6eZpZQd6Cedd/hPJzjnxjvnCvzxs4BzAAcMMbMxQe59G94K93rgXOfcN/7YLcDFwFwgBbiz/EAz6w+c7z+9xDk3yXmKnXPPcyipvcHMWga5993+41vOuZudc3n+vZfgJel78b4puKL8QOfc8865h5xzXznn9pb5/Hrn3K3Av/1P/TLIfeNaaSmIGhhLqXFRalNGShLXjvBWrR+cspKSEq1ai0j4RHJi/VP/8SXn3MYgrwdWSgeYWc8azDvVOTc/yOvj8ZLjVnilIWWNBFr6rz9QfqBzbh4wtdx9ADCzBOAn/tPHyyao/thi4EH/6Rl+2UdZF/mPK5xz7wSJ+ylgN15pyLnl7t0br3QE4L4gcW8A/hMs7ir6wn8MWQITr7QzyA+pcVFq24WDOtCmURrLN+cxceGmcIcjInEsIhNrvwEw0Mj3QYjLPsNLJOGHCXBFTqxoXj+JXxJi3hH+4+IQyX7ZecuP7QVkl7umvMn+YwowNMS9JxOEc24/MCPEvQNjdwNzQtw7ENOxZtYgxDWhHO8/rq3muJiXrlKQH1DjotS21KRExp2cA8BDU1dpFx4RCZuITKyBI/BqqOFQkvs9zrkSIHCeba+qTOqXSDSvaF7f0hDzBp5XZWwLM2te5vO9glzzPc65bcCW8tf7deGBVfnDiXuZ/75VNLbsvUIyswZm1tfM/oHXeAnwaGXj4k2mSkF+INC42LedEmupPWMHtqNTswzWbsvnja9CrXuIiNStSE2sW5f5dUU/1wu81rqCa2pz3tblXq9obPnxgV/vcM4dqOa9s4DMaty7NuMuZWbtzMyZmQPygAXAr/EaJ//onHusgvnjkkpBvu9AUTErA42LrZVYS+1JTkzg+pHdAZgwbRUFB/V3TkTqX6R2DmWW+fX+Cq7b5z9WtXThcOcNjK/K2PLjqzI21L3DGXdZxUCg7b4JXsnKQbwG0kpXq83sCvzmyOzsbKZPn17ZkKi3a1sBAPMXL6N53tdhjWXv3r1hf89X7yqmuMTRtoExZ9aMygfEoEj4OsSqLOf92dq4az9/efFDRnYMvgOovgaRQV+H8NPXoPZFamJd6UEntTBvTVrHA+PDNbYu713pvM657/CaOgPNmN2A3+Jt8XeZmZ0W2L0lxPin8JosOfroo92JJ55YpeCj2ax9y/hw/RraderCif5+u+Eyffp0wv2er5+9DljCoO5tOPHEo8IaS7hEwtchlhW22MxV/57LBxuM2y8cVtrnUJa+BpFBX4fw09eg9kVqKUjZHTPSK7guI8j1VZ03I+RVoefdW+71isaWH1+VsaHuXR9xl10Vr/T9dM6VOOdWOucuw9vNpAPwbz/hFl96skpBylLjotS1U3pnc2TbRmzNK+CF2evCHY6IxJlITYLK1vtWtIVb4LXv6mneTeVer2hs+fGBsU3NLK2a994D5Ffj3rUZd1U84j8eBfSv5tiYlpkaOHlRu4KAGhel7pkZN432aq0f/3g1eQeKwhyRiMSTSE2sl3OoNCHoKYT+ymgP/2nQXTbKc85tBbZVNK8vsItG+XkDz6sydqu/y0f5sWWv+R5/F5HA4S6l1zvvnN5l1bh3qLiPqGBFOTC27L2qqmwLfnjrHSJMemBXkCKtWKtxUerL8O4tOKZTE3btK+KfM9eFOxwRiSMRmVj7pwJ+6T8dFeKyQUDgf+dp1Zj+o4rmNbO2HEpey88bGNvbzEKt/gaOWC8/dhmHGv9C/Z4Cny8EZoa4d6i404BhIe4dGNsIOCbEvQNxz3HO5Ye4JpTOZX5d1bKcuJCZohXrgGXf7aHYP3ExWN2rSG0xM24e7a27PDNjDbv2FYY5IhGJFxGZWPte8h9/ambBtn+72X+c65xbEeT1yuYdbWb9grx+I16z33ccSkgDpuHtM53gX/c9/nwj/acvln3N3z/6Zf/pr80ss9zYBOAG/+lE59yectMHTkbsaWZnBIn7crzEeT/wZrl7L8XbGg/gliBxtwEuDBa3mSX6+2hXJDDnQWB2JdfGFW23d4hOXJT6NKhLM4blNCev4CBPfLwm3OGISJyI5MT6SeAboCEwycx6gXcqo5ndx6Fju39ffmBgr2UzuyPIvG/jnT6YALxpZsf5Y1LN7Cbgev+6PznnvrfM4ZwrAAJz3mBmN5lZqj9+MF5CmwB86pybFOTef8Orl+4AvGFmHfyxLYDn8FaTC4E/lR/oH5f+qv/0OTM7zR+baGa/AO71X/u7c25L+fEcep/Gmtl9/umW+O/rRLz3eQ3wdLlx7YEvzexSM2sX+KSZJZjZUWb2IvAr/9OPOOd2Brl33MrwS0H2qxSktHGxrxJrqSc3+avWz81ay5a8io4PEBGpHRGbWPtHdJ8FbAcGAEvMbDewC2+F1AG/c84FPeK7gnkd8GO847c7A7PNLA+vhGE83nvyhHOufIIZGP84XvKZ4F+f54+f5c+3Bjg/xNjN/r334ZVefGNmu/BKRH6Ot+J7WQVb1l0OzAWaAe+aWT5eU+PzeLunTCJIUu7f+z3gD/7TW4Cd/vu5BO/93Qac5X/zUN4A4FlgvZntN7Ot/u9hHnCRf81zwK0h4o5bgRXrfJWCsHCDvyOIGhelnhzVvjGjemVzoKiExz5aHe5wRCQORGxiDeCcWwD0AR7GS1hT8RLtd4FRzrm/1XDeDXg7WNyN1yiZhHeS4EfA+c65qysZfwXeMd4f4SXkSf48fwWOcs6FPOHQOTfFv/e/gA14CXEu3mr0cc65f1cwdg9wPHAbXmmHAwqAz4ArgTOdcyEzOOfcXXg12u8CO/HezzV4728f59ziIMM2+b/Xp4D5wG6gMVCE1xT5LDDUOXdJRfeOV+kqBQG8xsVVW/aqcVHq3U2ju2MGL835lo27KjufS0Tk8ETqATGl/FXe6/yPqo6p9IAZP0m93f+oSVyvcqg0o7pjVwGX1nBsIV7Zx72VXRti/FRgajXvV+Pfa7zLDOwKEueJdaBxsXu2GhelfvVslcWYvm14Z8EmHpm2ir+N7RvukEQkhkX0irVItFPzokeNixJO14/MITHBeG3uBtZuq+6mRyIiVafEWqQOZaQGVqzju0pGjYsSTl1arGY5MQAAIABJREFUNGDsgLYUlzgmTF0Z7nBEJIYpsRapQ4EjzfcXFeP1zcYnNS5KuI07OYfkROPtBZvYkFcS7nBEJEYpsRapQ4kJRmpSAs7BgaL4/M9cjYsSCdo1yeCiYzvgHLz5tQ6MEZG6ocRapI5l+uUg+XFaDqITFyVSXDOiG2nJCczNLWaR/1MUEZHapMRapI6VloPEaQNjoHHxyLaNwxyJxLuWWWlcPLgTAOMnV+fAXhGRqlFiLVLHMlP9Q2LidMV6UWlinRXmSETgquFdSUuEj1du5Yt1O8IdjojEGCXWInUsPc73slbjokSSJpkpnNIpGYD7P1gR103FIlL7lFiL1LHMlPgtBVHjokSiUzol0yg9mc/X7mDm19vCHY6IxBAl1iJ1LHBITH5B/JWCqHFRIlFGsnHV8K4AjNeqtYjUIiXWInUsUAqyvyj+VqzVuCiR6uLjO9K8QSoLNuxmytLccIcjIjFCibVIHcssXbGOv8S6tL5ajYsSYTJSkrhmhLdq/eCUlZSUaNVaRA6fEmuROhYogYjHY81LdwRR46JEoIsGdaBNozSWb85j0qLvwh2OiMQAJdYidSwzTncFUeOiRLrUpETGnZwDwENTVnKwOD5PRxWR2qPEWqSOHVqxjq/EOtC4mNOyoRoXJWKNHdiOTs0yWLMtnze+2hjucEQkyimxFqljGaXb7cVXKUigcbFPW61WS+RKTkzg+pHdAZgwbRUFB+PrG2ARqV1KrEXqWKAUJD/OVqzVuCjRYky/NnTPbsDGXft55Yv14Q5HRKKYEmuROpYepwfEqHFRokVignHjqB4APPLh13H3d1VEao8Sa5E6lpnqb7cXR6UgalyUaHNK72yObNuIrXkFvDB7XbjDEZEopcRapI6lJ8ffriBqXJRoY2bcNNqrtX7849XkHSgKc0QiEo2UWIvUscCKdTz9eHmRGhclCg3v3oJjOjVh174i/jlzXbjDEZEopMRapI4FdgWJp1KQRWpclChkZtw82qu1fmbGGnbtKwxzRCISbZRYi9SxdH9XkHhcsVbjokSbQV2aMSynOXkFB3ni4zXhDkdEoowSa5E6lhlYsS6IjxVrNS5KtLvJX7V+btZatuQdCHM0IhJNlFiL1LHS7faK4mPFWo2LEu2Oat+YUb2yOVBUwmMfrQ53OCISRZRYi9SxlMQEkhKMomJH4cGScIdT59S4KLHgptHdMYOX5nzLxl37wx2OiEQJJdYidczM4uqQGDUuSizo2SqLM/q2obC4hEemrQp3OCISJZRYi9SDwM4g+4piv85ajYsSK24YmUNigvHa3A2s25Yf7nBEJAoosRapB5n+ziD5BbG9Yq3GRYklXVo0YOyAthSXOB6aujLc4YhIFFBiLVIP4qUURI2LEmvGnZxDcqLx9oJNrNicF+5wRCTCKbEWqQelK9YxfkiMGhcl1rRrksGFx3bAOXhwyopwhyMiEU6JtUg9iJcVazUuSiy6dkQ30pIT+GBJbumfcRGRYJRYi9SDzFS/eTHWE+vSxsXGYY5EpPa0zErj4sGdABg/WavWIhKaEmuRepCeHPulIN9vXNSKtcSWq4Z3pUFqEh+v3MoX63aEOxwRiVBKrEXqQUYclIIsVeOixLAmmSlcOrQzAPd/sALnXJgjEpFIpMRapB5k+KUgsbxivViNixLjfjWsM43Sk/l87Q5mfr0t3OGISARSYi1SDzL8UpBYXrFW46LEuqy0ZK4a3hWA8Vq1FpEglFiL1INA82IsHxCjxkWJBxcf35HmDVJZsGE3U5bmhjscEYkwSqxF6kHpdnsxeqS5GhclXmSkJHHNCG/V+sEpKykp0aq1iByixFqkHgSaF2N1uz01Lko8uWhQB9o0SmP55jwmLfou3OFElc27D/B/n33DFS98yesrCzlQFJv/Jkr8Sgp3ACLxICNw8mKMloKocVHiSWpSIuNOzuG2Nxbx0JSVnNanFUmJWqcKxjnHqi17mbxkM1OW5rKg3AE7qx+bxaMX9adriwZhilCkdimxFqkHGTFeChJoXOzbTom1xIexA9vxxMerWbMtnze+2sj5x7QPd0gRo7jE8dW3O0uT6XXb95W+lpacwAk5LRjSrTmPTV3Ksu/2MOaRmdx5Vh9+PLBdGKMWqR1KrEXqQayvWC/SirXEmeTEBK4f2Z3rX5nPhGmrOKt/G1KT4rcM6kBRMTNXbWPy0s1MW7aF7fmFpa81zUxh5BEtGdWrFUO7NS8tF2u5by3/29aYt+dv4ubXFjDr62385ew+ZKYqNZHopT+9IvUglg+IUeOixKsx/drw2PSvWZm7l1e+WM8v/GPP48XO/EKmLd/ClKWb+WTlNvaXqZfu2CyD0b2yGdWrFQM7NiExwX4wPj3JeOiCoxjStTl/fGcxb8zbyLz1u3j0ov70bqNv0iU6KbEWqQeZ/or1vhgsBQk0LvbIVuOixJfEBOPGUT246t9zeeTDrzlvYPuY/zuwfsc+Ji/NZcrSzXyxbifFZXZF6duuUWky3T27AWY/TKbLMzPOP6Y9Azo25poX57EiN49z/jGL208/gl8M7lilOUQiiRJrkXoQ+M92XwyWgqhxUeLZKb2zObJtIxZt3M0Ls9dxpX+ATKxwzrFk0x4mL81l8pLNLN+cV/paUoIxLKc5o3tlM7JXNq0bpdf4Pt1aNuTta4dw56SlvDTnW/70zhJmrd7GfWP70SgjuTZ+KyL1Qom1SD2I5e321Lgo8czMuGl0d375ry944uPVXDSoAw3TojsRLCou4fO1O5iyNJcpS3PZuGt/6WsNUpM4sUcLRvXK5sQeLWmUXnu/17TkRO4+50iGdG3Obf9dyAdLclm8cQYPX3gUAzs2rbX7iNQlJdYi9SA9ObArSDElJY6EIPWG0UqNixLvhndvwTGdmvDFup38c+Y6rhuZE+6Qqi2/4CAfr9zKlKW5TFuWy54Dh8rWWjZMZVSvbEb1ymZw12Z13qR5et/W9G3XiGv/M48F63dx/pOfceOo7lw9vGtM/dspsUmJtUg9SEgw0pMT2V9UzP6i4pjpelfjooi3an3z6B5c8NRnPDNjDRcf35HGGSnhDqtSW/IOMG3ZFiYv2cynq7dTeLCk9LWclg0Y1Sub0b1b0bdto3pPaNs3zeC1KwczfvIKnvpkDfd/sILP1mznwfOPokXD1HqNRaQ6YuN/d5EokJnqJdb5hQdjJrFW46KIZ1CXZgzLac6MVdt44uM13HZqz3CHFNTqrXuZ4tdLz1u/C+f3HprB0R2blK5Md4mAA1tSkhL4/WlHMLhrM256dQEzVm3j1Akz+PsF/RiW0yLc4YkEFRv/u4tEgfQY3HIv0Lh4pOqrRbhpdA9mrNrGc7PWcunQTrRsmBbukCgpcczfsKs0mV69Nb/0tZSkBIZ1a86oXtmcfER2xK4Ej+jRkvevG8Z1L8/jszU7+MU/P+fq4V25YVR3knXipUQYJdYi9SQj2d9yL4YS60Dj4pGqrxbhqPaNGdUrmylLc3nso9XccWbvsMRRcLCYWau3M3lJLlOX5bI1r6D0tUbpyZzcsyWje2czLKdF1Pz0LDsrjRd/dRz/+OhrHpq6ksemr2bO2h1M+MlRtGuSEe7wREpFx98okRiQkRrYGSR29rJW46LI9900ujtTl+Xy0pxvufyELrRtXPMt6Kpj9/4ipq/YwuQluUxfsYX8Mt/At22c7tdLZ3NMp6ZRu8qbmGCMOzmHQZ2bct3L85n7zU5OmzCD+8/rxym9W4U7PBFAibVIvYm1LffUuCjyQz1bZXFG3zZMXLCJRz9cxT3n9q2ze23atZ+py3KZvCSXz9Zs52CZw1p6tc4qTaZ7tc6KqYNWBnVpxnvXDeOW1xYwbfkWrvy/uVw8uCO/O+0I0pLV6yHhFfGJtZm1An4HnAG0BXYDnwMPOeemHca8WcCtwFigI7AfmA887px7vQrjzwOuBvoB6cA3wH+Be51zeZWMzQFuA0YB2cB24BPgfufc3ErGpgDXAxcB3YCDwDLgX8DTzjlXwXDMbCRwHTAIyAI2ApOAu51zuSHGdADOBU72f7/ZQCGwBngfmOCc+66i+wpk+Kcv5sfIITFqXBQJ7oaROby36Dte/XIDV57QlU7NM2tlXuccK3LzmLzE21868BMj8FZzB3dpxuje2Yw8Ipv2TWO7PKJpZgrPXHw0z85cy73/W87zs7/hi3U7efSi/hHReCnxK6ITazPrC3wINPM/tQdojpdkn25mv3fO/a0G87bDS2Q7+5/ai5dkngScZGZPOOeurmD8U8Dl/tODwAGgJ3A7cKGZDXPObQoxdhTwFhD4V2830Aq4ABhrZpc45/4dYmwW3vsx0P/UPryk/jj/Y4yZneOcC1prYGa3A3f5T0v833cXYJwf90nOucXlxrQH1gFllzv2AJlAX//jCjMb65z7KNh9xRNYsd4fI8eaq3FRJLguLRowdkBbXv1yAw9NXclDP+lf47kOFpcw95ud3smHSzezfsehw1rSkxMZ3r0Fo3tnc1LPllGxxV9tMjN+NawLx3ZuyrUvzWPpd3s445GZ3HV2H84d0C7c4UmcithCKzNLB97BS6rnAX2cc42AJsADeInePWY2uprzGvA6XlK9DhjinGsINMRbwS4BrjKzy0OMvxovqS4BbgEa+OOH4K1adwFeDTG2lX/vDGAK0Mk51xgvsX4R7xudZ80sVMfL03hJ9Q5gDNDAn+uXeMn9GcCfQ9z7NA4l1Q8Ajf33sw/eSn0L4G0zK98WHliKfBc4D2jqj8sATgPW4n1N3vJ/fxJCYMU6VkpB1LgoEtq4k3NITjTeXrCJFZsr/CHmD+wvLGbyks3c/NoCjvnrVC546jOenbmW9Tv207xBChcc3Z5nLz6aeX8cxRM/H8i5A9rFXVJdVt92jXl33FDG9GvDvsJibnx1ATe9uoD8gthYxJDoEskr1lfilWjsBcY45zYCOOf2ADebWVfgbOAeYHI15j0LrwyiBDjHOTffn/cAcL+ZtcErtbjTzJ53zhUGBvpJ5x3+0wnOufGB15xzs8zsHGAuMMTMxjjnJpa79214K+PrgXOdc3v9sVvM7GK8Ve+BwJ14JSqlzKw/cL7/9BLn3CT/18XA82bWGHgIuMHMJjjntpS7993+41vOuZvLxL3EzMbglZN0Aa4AHikzbifQ3zm3oOxk/vvyvp+wz/N/X1cSIrGXMjXWMVIKosZFkdDaNcngwmM78MLsb/j7lJU88fOBFV6/fW8B05ZvYcrSXGas2sqBokOHtXRqlsEpvVsxqlc2/Ts0IVGnD/5Aw7RkHv7JUQzp2ow7Ji7hv19tYN76nTx64QB6tVEPiNSfiF2xBn7qP74USKrLud9/HGBm1dmJPzDv1EBSXc54wOGtIp9U7rWRQEv/9QfKD3TOzQOmlrsPAGaWAPzEf/p4IKkuM7YYeNB/eoZf9lHWRf7jCufcO0HifgqvrCQdrx667L1749VGA9wXJO4NwH+Cxe2c210+qS73+nLgM/9pxf9zxLlYal5U46JI5a4d0Y205AT+t2Rz6U94yvpmez7PzFjD+U/M5pi/TuXW1xcyZWkuB4pK6Ne+Mbec0oMpN5zARzefyO9OO4KjOzVVUl0BM+Mnx3bgnWuH0j27AWu25nP2Y5/yf7PXUUn7kUiticgVazNryKEk7YMQl32Gl0g2wkuAl1dx+hMrmtc5t9HMluCVSJwE/K/MyyP8x8Uhkv3AvKP4YVLeC6/pL+S9ObTyngIMBd4Lcu+gq/POuf1mNgOvHOQk4IkgY3cDcyqI+3LgWDNrUD7xr8R2/1EdbBU4VAoS/T+eDDQu9mylxkWRUFpmpXHx4E48+ckaxk9ewXOXHMPijXuYvHQzk5fksiL3UIlIcqIxtGtzRvsnH2Znhf9wmWjVPbshb18zlDsnLeE/n6/nD28vYdbq7fzt3L40ykgOd3gS4yIysQaO4FCz3JJgFzjnSsxsBXAsXtJaKTNridf8GHJe31K8xLr8vIHnlY0FaGFmzZ1z28qNLXvN9zjntpnZFrxV8V74ibVfFx5Yla/s3mdUEPcy51wJwQViCtzrywruU8rMkvDqywEWV3RtvIulFevFKgMRqZKrhnflxTnf8vHKrQy6expbyhzW0jA1iRE9WzKqVzYn9mhBwzQlfbUlPSWRe87ty/Fdm/P7Nxbx/uLNLNywm4cv7M/Ajk3CHZ7EsEhNrFuX+XXQ3TXKvda6gmtqc97W5V6vaGzg+m1lfg2ww6/nrmh8y3L3zsLbhaOq966NuKvqGryymRLghWqMizuBxDo/Blas1bgoUjVNMlO4bGhnJkxbxZa8AlplpTHKX5U+rkszUpIiuSIz+o3p14Z+7Rpz7X++YuGG3Zz/5GxuHt2DK0/oQoLKaqQORGpiXXbTz/0hr/K2mwNvd4z6mDcwvipjy4+vythQ9w5n3CH52yEGmiIfdc5VtJqOmV2B1xxJdnY206dPr8ptYsbazV5C/e3GzWH5ve/du7fW7jt7hffHpSh3NdOnr6uVOeNFbX4dpGbq+2vQN9FxRd9UWmcanbISMNtGyaZtzKpoqSMO1OfXYVwvx2tJSXyw7iD3/m857365iiuOTCUrNb6Ta/17VPsiNbGuqz/pZeetSSdDYHy4xtblvas1r5m15tB+3HOB31Y2xjn3FF6TJUcffbQ78cQTq3PLqOeWb4H5X5DZqCknnnhsvd9/+vTp1MZ7fqComO8mf0CCwU9PP1E11tVUW18HqblwfA1Orte7RYf6/jqMPAk+XJ7LTa8uYPG2Iv7yZTEPXXAUQ7o1r3xwjNK/R7UvUn8GVbZxLr2C6wKHrFS10a7sdRUdSxVq3r3lXq9obPnxVRkb6t71EXfZVfEK308za4rXRNkZWAWcXkl5i1C2xjp6S0E27NzHra8vpLjE0V0nLopIlDmpZzbvX3cCgzo3ZWteAT97dg7jP1jBweJQ7Uci1ROpiXXZH5C1qeC6wGtVPU77cOfdVO71isaWHx8Y29TMKmr3DnbvPUB+Ne5dm3F/j5k1wttBpA/wLTAy1FHo8n3RfEDM7n1F3P3eMk564GPeWbCJ5ETjquFdwx2WiEi1tWqUxkuXH8d1J+dgwKMffc1PnvqMTbsqq9QUqVykJtbLOVSaEPQUQn9f6B7+06C7bJTnnNvKoWbCUKcbwqFdNMrPG3helbFby+wIUn6uoLuYmFlzvMbF713vvA04l1Xj3qHiPsJ/3yoaW/Ze5ePLxNup5GhgM15S/W0F8UgZGanRtyvIgaJinvx4NcPu+5CnPllD4cESzuzXhmk3nsjZ/duGOzwRkRpJTDBuGNWdF391HNlZqXz5zU5OnTCDKUu1TiSHJyITa+dcHoe2exsV4rJBeHtYA0yrxvQfVTSvmbXlUPJaft7A2N7+CY3BBI5YLz92GRD4Gxvq9xT4fCEwM8S9Q8WdBgwLce/A2EbAMSHuHYh7jnMuv/yL/hHzE4Hj8fatHumcWxViLgkimkpBiksc/527gZMf+Jh73l/OngMHOb5rMyZeO5SHL+xPh2aVVTSJiES+wV2b8d64YYzo0YLd+4u4/IUvueOdJRQcjJ4FEIksEZlY+17yH3/qN8qVFziWe65zbkUN5h1tZv2CvH4jXrPfdxxKSAOmAVvw3rcbyw/05xvpP32x7Gv+/tEv+09/7a/+lh2bANzgP53oH91eVuBkxJ5mdkaQuC/HS5z3A2+Wu/dSIHB64i1B4m4DXBgsbv/1FOANvINmdgGjK9sBRH4oGkpBnHNMX7GF0x+ewU2vLWDjrv30bNWQ5y45hhd/NYgj22l7PRGJLc0apPLsxcdw+2lHkJRgPDdrHWMfn8XabT9YYxKpVCQn1k8C3wANgUlm1gu8UxnN7D4OHdv9+/IDzcz5H3cEmfdtvNMHE4A3zew4f0yqmd0EXO9f9yfnXGHZgc65AiAw5w1mdpOZpfrjB+MltAnAp865SUHu/Te8eukOwBtm1sEf2wJ4Dm81uRD4U/mB/nHpr/pPnzOz0/yxiWb2C+Be/7W/O+e2BLl34H0aa2b3+adb4r+vE/He5zXA02UHmVki3jcjPwLygFOdc18FmV8qUfaAmEg8XnfRht387Nk5/PJfX7B8cx5tGqUx/rx+vDtuGCf2aIl3TpGISOxJSDAuP6ELr199PO2bprN44x7OeHgGb80LdciySHCRut1e4Ijus/BWiQcAS8xsD94eywl4tcC/d84FPeK7gnmdmf0Y+ARvV4vZZrYXSOPQ+/GEc+7pEOMfN7P+eCvE44F7zKyAQ3s/rwHODzF2s3/vt/BKL74xs914B8AYcBC4rILV4MuBrnjHvb9rZvvwjhFP9V+fRJCk3L/3e2b2B+AveKvWN5pZvn9v8GrPz/K/eShrCDDW/3Uy8FYFCdZ651yoUpO4l5yYQHKiUVTsKCwuITUpMnbUWL9jH/d/sIJ3Fng9rllpSVwzohsXH9+JtOTIiFFEpD4c1b4x744bxu/eWMS7C7/j+lfm8+nX2/jzWb1Lf+ooUpFIXrHGObcAb/eJh/ES1lS8+t53gVHOub/VcN4NwFF4h5ssx0uo8/BKP853zl1dyfgrgAv86/f645cDfwWOcs6F3PbfOTfFv/e/gA142wnm4q1GH+ec+3cFY/fg1Tjfhlfa4YAC4DPgSuBM51zIAl7n3F14NdrvAjvx3s81eO9vH+dcsCPJy/4ZSQOyK/hoEere4iktBykIfznIjvxC7py4lJMemM47CzaRkpjA5cM688mtI7hyeFcl1SISl7LSknn0wv7cfc6RpCYl8NrcDZz56Kcs31y+QlPkhyL+2y/n3GbgOv+jqmMq/Zm1n6Te7n/UJK5XOVSaUd2xq4BLazi2EK/s497Krg0xfiowtRrXT6fuDuyJOxkpiezeX8S+omKahCmG/YXF/PPTtTwxfTV5BQcxg3P7t+XG0d1p10RNiSIiZsZFgzowoGNjrn1pHl9v2ctZj37KH87oxU8HdVBpnIQU8Ym1SCwJ1FnvD8POICXO8eoX63lwyko27/HO8xmW05zbTu1J7zZqShQRKa9nqyzeuXYIf35nKa98uZ7/99ZiZq3exj3n9qVRenK4w5MIpMRapB4FSkHy67EUxDnHh8u38MdP97Nx70IAerfJ4nenHsHQnPg9yldEpCoyUpK498d9Ob5bM25/czHvLdrMwg27eeTC/vTvEK6fPUqkUmItUo/SU+r3kJj563dx93vL+HztDgDaNUnnllN6MKZvGxIS9KNMEZGqOuuotvRr15jf/Gceizbu5rwnZnPLKT24fFgX/XsqpZRYi9SjzHo6JGbdtnzu/2AF7y7yTqdvnJHMqR2MO342PGJ2IxERiTadmmfy+tWDuff9Ffzz07Xc8/5yZq/ZzgPn9aNZg9TKJ5CYF9G7gojEmro+JGbb3gL+9PZiRj74Me8u+o7UpASuPrErH98yglM6JSupFhE5TKlJifxxTC+e+cXRNM5IZvqKrZw6YQazVm8Ld2gSAbRiLVKP6upY832FB3lmxlqe/Hg1+YXFmMF5A9tx4+jutG6UXqv3EhERGNkrm/evG8Z1/5nP5+t28NNn5vCbEd0Yd3IOSYlat4xXSqxF6lFGLddYHywu4dUvN/D3qSvZmued7XNSz5b89kc96dGqYa3cQ0REgmvdKJ2XLh/Ew9NW8chHX/Pwh1/z2ZodTLjwKC1qxCkl1iL1KCO1dkpBnHNMXprLff9bzuqt+QD0a9eI2049gsFdmx12nCIiUjVJiQncOLoHx3VpxnWveKvXp02Ywfjz+nHyEdnhDk/qmRJrkXqUkXz4pSBzv9nBPe8t58tvdgLQsVkGt5zSg9OPbK1DC0REwuT4bs15/7ph3PjqAj5ZuZXLnv+SS4d05ren9lB/SxxRYi1Sjw5nu73VW/dy3/+W88GSXACaZqYw7qRuXDSoIylJqucTEQm35g1See6Xx/D0jDXc/4G3c8gX63bwyIX96dQ8M9zhST1QYi1SjzIDpSDVOCBmS94BJkxdxctfrKe4xJGenMivhnXmihO60DBNJ3+JiESShATjyuFdObZz09I9r894ZCZ/PacPZx3VNtzhSR1TYi1Sj0qbF4sqT6z3FhzkqU/W8MyMNewrLCbB4MJjO3DDyBxaZqXVdagiInIY+ndowrvjhvG7Nxby3qLNXPfyfGZ9vZ07zuxd+tNLiT1KrEXqUWAf6/0V1FgXFZfw8uffMmHaKrbtLQRgVK9sfvujHnRrqZ0+RESiRaP0ZP5x0QBenPMtd05ayitfruerb3fy6EUDtHNTjFJiLVKPAivW+UFKQZxzvL94M/d/sIK127ydPgZ0aMzvTjuCYzo1rdc4RUSkdpgZPzuuIwM7NuHal75i1Za9nPnoTO44szc/Oaa9ms5jjBJrkXqUHqIUZM6a7dzz/nLmr98FQJfmmdz6o56c0jtb/+iKiMSAI1pnMfE3Q/nT20t4be4GfvfGImZ+vY17zj2SLPXLxAwl1iL1KDNwpHmBVwqyKjePe/+3nKnLtgBeR/n1I3O44Jj2JOvkLhGRmJKRksT95/VjSLfm3P7mIt5d+B2LNuzmkQv7069943CHJ7VAibVIPQqUguzcV8ht/13Iq1+up8R5n7/ihC5cPqxL6c4hIiISm87u35Z+7Rtz7UtfsWTTHsY+Povf/qgnlw3tTEKCfkoZzbQkJlKPAon1tr2FvPzFehLM+PlxHfn4lhFcP7K7kmoRkTjRuXkmb/z6eH55fCcOljj++t4yLnv+C7bvLQh3aHIYlFiL1KOGacmk+6cvntqnFZNvOIG/nN2HFg1TwxyZiIjUt9SkRO44szdP/+JoGqUn89GKrZz28Axmr94e7tCkhrQ8JlKPUpISeP3qwRhGrzZZ4Q5HREQiwKhe2bx/3TDG/WceX36zk58+8xm/OSmHcSfnkKjSkKiiFWuReta7TSMl1SIi8j1tGqfz8hXHce2HRfHBAAAdGUlEQVSIbjhgwrRVXPT0Z2zefSDcoUk1KLEWERERiQBJiQncfEoP/u/SQTRvkMqctTs47eEZfLg8N9yhSRUpsRYRERGJIENzmvP+dcMYltOcHfmFXPrcl9w1aSmFB0vCHZpUQom1iIiISIRp0TCV5y85lt/+qCeJCcYzM9dy3hOz+Hb7vnCHJhVQYi0iIiISgRISjKtP7MqrVw6mbeN0FmzYzekPz2Digk3hDk1CUGItIiIiEsEGdmzCe+OG8aPercgrOMhv/jOP372xkP2FxeEOTcpRYi0iIiIS4RplJPP4zwbwl7N6k5KUwH8+X89Z/5jJyty8cIcmZSixFhEREYkCZsbPB3firV8PoUuLTFbm7uXMR2fy8uff4pwLd3iCEmsRERGRqNKrTRYTrx3K2AHtOFBUwm1vLGLcy/PJO1AU7tDinhJrERERkSiTmZrEA+f348Hz+5GRksjEBZs445GZLNywK9yhxTUl1iIiIiJR6twB7Zj0m6H0ap3FN9v3MfbxWTw7c61KQ8JEibWIiIhIFOvSogFv/Pp4Lh7ckaJix18mLeVXz3/JjvzCcIcWd5RYi4iIiES5tORE/nxWH5742UCy0pKYtnwLp02YwZw128MdWlxRYi0iIiISI37UpxXvXTeMgR2bsHnPAS58+jMmTF1FcYlKQ+qDEmsRERGRGNKuSQYvX3Ecvz6xKw74+9SV/OyZOeTuORDu0GKeEmsRERGRGJOcmMCtP+rJC5ceS/MGKcxes53TJszgoxVbwh1aTFNiLSIiIhKjhuW04L3rhjEspznb8wu55F9fcPd7yyg8WBLu0GKSEmsRERGRGNayYRrPX3Ist5zSg8QE46lP1nDek7PZuk/JdW1LCncAIiIiIlK3EhKMa0Z0Y1Dnpoz7zzwWrN/Fyu8gs/13nHZk63CHFzO0Yi0iIiISJ47u1JT3rhvG6F7Z7D8Iv37xK25/cxEHiorDHVpMUGItIiIiEkcaZ6Tw5M8H8rMjUkhJTODFOd9y9j8+5esteeEOLeopsRYRERGJM2bGyI7JvPHr4+ncPJPlm/MY88invPrFeh2HfhiUWIuIiIjEqT5tGzHxN0M5t39b9hcVc+t/F3L9K/PZW3Aw3KFFJSXWIiIiInGsQWoSD15wFOPP60d6ciJvz9/EGQ/PYPHG3eEOLeoosRYRERERfjywHZPGDaVnq4as276Pcx77lH/OXKvSkGpQYi0iIiIiAHRt0YC3rhnCz4/rSFGx485JS7n8hbnszC8Md2hRQYm1iIiIiJRKS07kL2f34fGfDqBhWhJTl+Vy2sMz+GLdjnCHFvGUWIuIiIjID5x6ZGveGzeM/h0a893uA/zkqc949MNVFJeoNCQUJdYiIiIiElT7phm8euVgrhreleISx/jJK/nFP+ewZc+BcIcWkZRYi4iIiEhIyYkJ3HZqT56/9FiaZabw6dfbOXXCDD5euTXcoUUcJdYiIiIiUqnh3Vvw/nXDGNKtGdvzC7n4n59zz/vLKCouCXdoEUOJtYiIiIhUScusNF64dBA3j+5OgsGTH6/h/Cdns37HvnCHFhGUWIuIiIhIlSUmGNeelMMrVw6mdaM05n27i9MfnsH7i74Ld2hhp8RaRERERKrtmE5Nef+6YYw8Ips9Bw5y9Ytf8f/eWsSBouJwhxY2SqxFREREpEYaZ6Tw9C8G8qcxvUhJTODfn33L2f/4lK+37A13aGER8Ym1mbUyswlmttrMDphZrplNNLOTD3PeLDO7y8yWmdk+M9tuZtPM7MdVHH+emX3oj9vnz3OXmTWswtgcM3vWzL41swIz22RmL5vZwCqMTTGzW81svpntNbNdZjbbzK4wM6vC+JH++7fFfz9X++9vdgVjGprZmWb2FzN738y2mZnzP3pWdk8RERGJXWbGJUM688avj6dTswyWb85jzCMzeX3uhnCHVu8iOrE2s77AYmAc0AUoAJoDZwBTzOy2Gs7bDpgP3A70BIqBLOAk4DUze7yS8U8BrwIj/HHF/jy3A/PNrE0FY0f5974UaA/sB1oBFwCfmdnPKhibBcwC7gX6AQakA8cBTwLvmFlSBeNvB6bgvX/N8N7PLnjv7yIz6xNi6MnA28D/A37kjxUREREp1adtIyaNG8bZR7Vhf1ExN7+2gBtfmc/egoPhDq3eRGxibWbpwDt4Sdw8oI9zrhHQBHgAL6m8x8xGV3NeA14HOgPrgCHOuYZAQ+BWoAS4yswuDzH+auBy/7pbgAb++CHAN3iJ6qshxrby752Bl+B2cs41xkusXwSSgGfNrHeI8J8GBgI7gDFAA3+uXwIH8BLmP4e492nAXf7TB4DG/vvZBy/RbwG8bWapIe69BXjPn/+KENeIiIhIHGuQmsTfLziK+37cl/TkRN6Yt5Exj8xk8cbd4Q6tXkRsYg1cCXQE9gJjnHNLAJxze5xzNwNv+dfdU815zwIG4SXG5zjnZvnzHnDO3Q887F93p5mllB3oJ513+E8nOOfGO+cK/PGzgHMABwwxszFB7n0b3gr3euBc59w3/tgtwMXAXCAFuLP8QDPrD5zvP73EOTfJeYqdc8/7cwPcYGYtg9z7bv/xLefczc65PP/eS/CS9L143xQES5onOueynXOnO+fuwPumQEREROQHzIzzj27PxN8MoWerhqzdls+5j83iuU/X4lxsH4ceyYn1T/3Hl5xzG4O8fr//OKCadb6Beac65+YHeX08XnLcCq80pKyRQEv/9QfKD3TOzQOmlrsPAGaWAPzEf/q4c25vubHFwIP+0zP8so+yLvIfVzjn3gkS91PAbrzSkHPL3bs3XukIwH1B4t4A/CdY3GViExEREamybi0b8tY1Q/jpoA4UFpdwx8SlXPl/c9m1rzDcodWZiEys/QbAQCPfByEu+wwvkYQfJsAVObGief0kfkmIeUf4j4tDJPtl5y0/theQXe6a8ib7jynA0BD3nkwQzrn9wIwQ9w6M3Q3MCXHvQEzHmlmDENeIiIiIVFlaciJ/PedI/nHRABqmJjF5aS6nPzyTud/sCHdodSIiE2vgCLwaajiU5H6Pc64EWOE/7VWVSf0SieYVzetbGmLewPOqjG1hZs3LfL5XkGu+xzm3Da+W+XvX+3XhgVX5w4l7mf++VTS27L1EREREDtvpfVvz3nXD6Ne+MRt37ef8Jz/jHx99TUlJbJWGRGpi3brMrzdVcF3gtdYVXFOb87Yu93pFY8uPD/x6h3PuQDXvnQVkVuPetRm3iIiIyGFr3zSD168azJUndKG4xHH/B/+/vTsPl6MqEzD+fgkJAbKwCiKyPMwgm4ASFBkYQY0Lmwoq4oIogogKguAyLoy4Ac4MCooKMyODCAyOIrLoqGhGkUQFJcqqiLLIvoQQQhbgmz/qNGna7r6dpO7tvrnv73nqqa6qc6rOrZN768vpU+fcxEH/+SvufaRbWDS6dByarc/WaPr8WJd0jYnpe+26sKLnbeTvJW9r/l7ydrp2P8tdm4g4jPJy5Prrr8/MmTOH4zLqYP78+d7zAWA99J91MBish/7rVx28aHVYY8dVOfN3i7ji5vt52ecv57DtJrHtuuNHvCx1G9TAesiJTmo47/J899DI36+8w3ntYf8uJjPPoHrJkunTp+fuu+8+3JdUk5kzZ+I97z/rof+sg8FgPfRfP+tgd+CAVyzk/edfw6xbHuBfr17Iu1+8OUfP2IIJ4we1Q8XQBrXkzSNmrNYl3ept0vd63tU7pup83vktx7vlbc3fS95O1x6Jcje3io/NeUglSdKIWX/qJM555ws5ZsYWBHD6zD/xxjNmc8dDC4bMO6gGNbBu7u/bcRbDpmN3jdB572w53i1va/5G3rUjYtIyXnse8OgyXLvOckuSJA2L8eOCI1/695x/2IvYYOokrr71Ifb84s/5wbV397toy2VQA+sbWdo1oe0shGVc6OeUzbajbLTKzPuA+7udt2iMotF63sZ2L3nvK6N8tOZtTvM0ZRSRxuQuT6XPajT1G5bh2p3KvVW5b93yNl9LkiRp2L1gs7X5/lG78dItn8G8hY9z+DlX84mLrmXhktE1lcZABtZlVsCryuaMDsleCEwrny9fhtP/tNt5I+JZLA1eW8/byLtNRHRq/W1Msd6a9wbgnm7Xbtq/GLiiw7U7lXsSsFuHazfyTgN26nDtRrl/mZmPdkgjSZI0LNZaYyL//rbpfHzvrZkwPjh71q3sd/qV3HLf6OmhOpCBdXFuWb85ItoN/3ZsWV+dmTe1OT7UeV8eEdu3OX4M1ct+d7E0IG24nGqc6XEl3dOU872sbH6z+VgZP/r8snlERKzRkncccHTZvDgz57WcvjEz4pYRsXebch9KFTg/BlzYcu3rgTll87g25d4QOLBduSVJkkZKRHDIrpvx7XfvwibrrM71d81j79Ou4Du/uaPfRevJIAfWXwNuBaYAl0TE1lDNyhgRJ7N02u5/as0YEVmWf25z3ouoZh8cB1wYETuXPKtGxAeA95d0x2fm0+bczMxFQOOcR0fEByJi1ZL/RVQB7TjgF5l5SZtrn0jVX3pj4DsRsXHJux5wFlVr8mLg+NaMZbr0C8rmWRGxZ8k7PiIOAk4qx07JzHtb87P0Pu0fESeX2S0p9/Viqvt8C3Bmm7xExLqNBVir6dCazce6dDWRJEnqyXYbrckl79uVfbffkAWLn+CYC+bwgQvm8Oiix/tdtK4GNggqU3S/GngAeD5wXUQ8DMylanVN4COZ2XaK7y7nTeB1wJ+BzYBZEfEI1UgY/0J1T76amW0DzMz8ClXwOa6kf6Tkv7Kc7xbgDR3y3l2uvYCq68WtETGXqovIW4HHgUMys9PsiocCVwPrAJdGxKNULzX+F9XoKZfQJigv174M+HjZPA54qNzP66ju7/3Aq8t/Htq5r2n5TdP+WS3HNu6QX5IkqWdTJk3gi2/cgZP2fy6TJozj27+5g32+dAXX39n6pf7gGNjAGiAz5wDbAqdSBayrUgXalwIzMvPE5TzvHcAOwGepXpRcBXiEquvHGzLz3UPkPww4oKSfX/LfCHwG2CEzO85wmJk/Ktf+OnAHVUB8D1Vr9M6ZeU6XvPOAXYAPU3XtSGARMBt4F7BvZnb8r1xmfpqqj/alwENU9/MWqvu7bWZe2+3nliRJGkkRwQE7bcz33rsrW6w/mVvue5TXnP4LvjHrL1RtpYNlUCeIeUpp5T2qLL3mGXKCmRKkfrQsy1OuC1jaNWNZ8/4ReMdy5l1M1e3jpKHSdsj/Y+DHy5FvuCbtkSRJ6mqL9adw0Xt25YRLrue8X93Gxy+6jl/c/AAn7b8d01af0O/iPWWgW6wlSZIkgNUmjudz+z2X0w58HlNWXYUfXHc3e576c+bcPrffRXuKgbUkSZJGjX2235BLj9yN7Teaxn3zFw3UFOgD3xVEkiRJarbxOqvzrcN34Xd3zGXrDaf2uzhPGZwQX5IkSerRxFXGMX3TtftdjKcxsJYkSZJqYGAtSZIk1cDAWpIkSaqBgbUkSZJUAwNrSZIkqQYG1pIkSVINDKwlSZKkGhhYS5IkSTUwsJYkSZJqYGAtSZIk1cDAWpIkSaqBgbUkSZJUAwNrSZIkqQYG1pIkSVINDKwlSZKkGhhYS5IkSTUwsJYkSZJqYGAtSZIk1cDAWpIkSaqBgbUkSZJUAwNrSZIkqQYG1pIkSVINIjP7XQaNQRFxH3Brv8sxxqwL3N/vQsh6GADWwWCwHvrPOujdJpm53lCJDKylMSIirsrM6f0ux1hnPfSfdTAYrIf+sw7qZ1cQSZIkqQYG1pIkSVINDKylseOMfhdAgPUwCKyDwWA99J91UDP7WEuSJEk1sMVakiRJqoGBtSRJklQDA2tplIqIKRGxb0R8KiK+HxH3R0SWZcse8kdEHBYRsyJibkQ8EhG/jYjjImLiSPwMo11EbBwR74+IiyPitohYVO7jnIg4MSKeOUT+iRHxwYi4JiLml3qYVeolRurnGO0iYnr5PfhBRNwcEQ+XuvhrRFwUEa8ZIr/1MAwiYnJE3N70d+ngLmmtgxpExMFN97vTMr9Lfp8LK8g+1tIoVYKFCzsc3iozb+ySdwLwXWDPsmsx8ASwWtn+NfCSzOz4B3isi4hnU01y1PzQnwesAYwv2w8B+2fmT9vknwr8BNix7FoArAI0Hl6XAK/NzMfrL/3KJSK+Cryradd8qns5qWnft4EDM3NJS17rYZhExBeAo5p2vT0zz2qTzjqoSfnPy9eBJcCDHZI9mpmbt8nrc6EGtlhLo9u9wGXAJ4HDliHfp6n+eC4EDgZWpwoI96H6Y7wT8LU6C7oSagTPlwKvB9bOzGlU93JP4M/AWsB3I2KDNvnPpAokHqS675NL3oOp6mVvqnrV0GYBR1PdzymZOSUzVwM2Bj5f0uwPfLhNXuthGETE84H3Ar/sIbl1UL8rM3ODDsvfBNWFz4U6ZKaLi8soXIDxLdubAlmWLbvk24DqD2cCR7Y5/upy7Elgu37/nIO6ANOA7bsc3xJ4rNzL41uOPa+prvZtk/eocmwB8Ix+/6yjfQG+Ue7nn6yHEbnf46haNx9vuccHt0lrHdR77w8u92vmMubzuVDTYou1NEpl5hPLmXV/YFXgYdqMYZqZFwF/oOri8KblLuBKLjMfzsw5XY7fCMwumzu2HG7c15sy83ttsp9BVT+rAfutaFnFr8t6w5b91sPweB8wHfhKZv52iLTWwWDwuVATA2tp7NmjrH+WmQs7pPlhWb9kBMqzMnugrMe37G/UwQ9pIzMfA35eNq2DFbdLWf+5Zb/1ULOIeBbwKeAe4GM9ZLEOBoPPhZoYWEtjz9ZlfV2XNNeX9Va+kb98ImIV4B/K5rVN+4Oqmwj0Vgdbd0mjDsqIFNtFxJeBA8ruLzUdtx6Gx2nAFODYzHy4W0LrYFhtExHXRcRjZWSPayPilIjYrEN6nws1WaXfBZA04hpDwN3ZJU3j2OSyPDKsJVo5vYeq3+KTwNlN+6dSvRAEvdVB1yH7tFREbATc3ubQQuCzmXl60z7roWYRsQ/wWqr+vef0kMU6GD7rAutQjUw0FdimLO+KiHdm5rkt6X0u1MQWa2nsaTzIHuuSZkHT58nDWJaVUkRsB3y2bH4pM5tbgdZo+txLHXj/e/cEVReEe6iGCoPqBbrP0dRaXVgPNYqINaju8RKq/1T2wjqo353A8cC2wKTMXIfqvu1F1eK8GnB2RPxjSz6fCzUxsJbGLgexHwZlUpjvUg1VdTXwodYkTZ+tgxpl5l1ZhhSjCiCeQ/VtwSeBayJim6bk1kO9TqAa3vCUzLx+qMSFdVCzzPxhZp6Qmddl5uKyb1FmXkb1rsHNVO98nNjpFCNU1JWWgbU09jxa1qt3SdN8zMkAehQRa1O94LMZ8EdgrzYvAjXfz17qwPu/HDLzycz8Q2YeAvwbVdB3TkQ0nnvWQ00iYgeqYfFupwqwe2UdjKDS573xTdrOEbFe02GfCzUxsJbGnkY/udahx5o1js3HP6A9iYhpwP9SfQV7G/CyzLynTdJ5LH2I9VIHd9VWyLHrtLLegWrcZLAe6vRFqlbQj1K9kzi5eWlKt2rZ1wjQrIOR15iwJ6jmPmjwuVATA2tp7Gl8TbtNlzSNN8RvyDI7gDor/Usvoxq7926qoPq2dmnL/byhbPZSB71+ra7O/tr0eXOwHmq2SVmfTfVCW+vS8NWyfT1YB33SqfuNz4WaGFhLY89Py3q3iJjUIc2Msr58BMozqkXEasDFVP0XH6AKqv84RLZGHcxod7DUy25l0zpYcc1DjDW3tFkP/WcdjKwXNH2+temzz4WaGFhLY893gEXAmsA7Ww+WIbOeQ9Wacd7IFm10iYiJVPdzD2Au8PKWEUA6adzXLSNi7zbHD6WaMv0x4MI6yrqyiojxPYype1xZPw7MatpvPdQgMzfNzOi0NCV9e9m3adM+66AmQ/0eRMRU4MNl81eZeV/TYZ8LNTGwlkaxiFi3sQBrNR1as/lY0wtbZObdVH0iAU6OiLdGxPhyvj2Br5dj52Xm70bi5xiNyj07F3gl1dfbr8rM3/SSt0zzfEHZPKvc90aQeBBwUjl2SmbeW2/JVzrPBq6KiHeUcawBiIhxEbFDRHyTpYHCaZn5UCON9dB/1kGtNomI2RFxSERs3NgZERMj4pXAL4AtqMbW/0hzRp8L9Qm7yUijV0T0+gu8WWb+pSnfBKoh4fYsuxZRjQHceKno18BLM9MJADoo48D+X9lcCHSbZe72zNypJf9U4CfAjmXXAqoXwFYt25cAr83Mx2sr9EooIjbl6VOVL6Tq7jGFpfcS4Czg0Nb7aT0Mv6a/U2/PzLPaHLcOatDhd+FRqgliJpR9C4DDM/MbbfL7XKiBLdbSGJSZS4B9gMOB2VR/QBO4hmrc5V394zmk5r+fk4D1uyzrtWbOzHlU/bI/DMyhuv+LqOrjXcC+BhI9uZNqyvIzqP79Pkz1dfYSqhey/oPq3/Pb291P66H/rIPa3AMcSfUNwE1UQfS0sr6KqvV/63ZBNfhcqIst1pIkSVINbLGWJEmSamBgLUmSJNXAwFqSJEmqgYG1JEmSVAMDa0mSJKkGBtaSJElSDQysJUmSpBoYWEuSJEk1MLCWJEmSamBgLUkacRFxVkRkm2VeRFwTEZ+PiI2GOMf0iPhCSX9/RCyJiAciYnZEnBwR2/ZQjvUiYnG59sMRsVp9P6WkscbAWpLUT0uAe8pyLzAZ2B44Fvh9ROzamiEiJkfE+cCvgaNK+jWBecA04IXAcSX/eUNc/03AhPJ5KvCaFf2BJI1dBtaSpH66MjM3KMv6VIH1QcBcqmD5W82tyBExBbgCOAB4HPgKsBMwMTPXASYC2wEnAA8Dbxzi+m8r6zNbtiVpmRlYS5IGRmYuyMxvAEeWXRvw9FbkM6haqBcCe2XmEZl5VWY+WfI/mZm/z8zjgc2B73e6VkQ8F3ge8FfgGGA+MCMiNqz755I0NhhYS5IG0QXAk+XzjgAR8XyWtkB/LDN/2O0EmfkAsHeXJI3W6fMycz7wXarn4luWt9CSxjYDa0nSwMnMRcD9ZXNqWR9e1g8CX+7xPE+22x8R44E3l81zy/qbZW13EEnLxcBakjRwSr/q9crm3LLeo6x/lJkLV/ASr6DqZnJDZv62cV6qFyi3jojpK3h+SWOQgbUkaRAdAkT5/MuImAD8XdmeU8P5G63SjdZqMvMJ4L9bjktSzwysJUkDISqbRsSxwMll963AxcDaTUkfXMHrrAnsWzbPbTnc6A5yYAnmJalnq/S7AJKkMe3FEZEdjt0FvCYzF0dEhyTL5Y3AJGB2Zt7SfCAzfxkRN1O1ju9F9UKjJPXEFmtJUj81TxBzN/Anqr7OHwS2ycxrSrrmVuq1WTF/0w2kxbkt6SSpJ7ZYS5L66crM3H2oRJm5pKklefvlvVhEbAHsXDZPjYhTuyTfKyLWzcz7u6SRpKfYYi1JGi1+WtYzImLScp5jWVqhJwAHLud1JI1BBtaSpNHijLJeGziilwzR1Dk7IsYBby2b7wHW6rJ8qKSzO4iknhlYS5JGhcy8impGRoDPRMSMbukjYh3g0qZdewDPBp4ALsjMuZ0W4PySZ8eI2KbmH0XSSsrAWpI0mhwK/J5qVI/LIuLLEfH80hrdGLJv24j4JNWLkK9qyttoff7ZUP2mM/M24KqWfJLUlYG1JGnUyMx5wK7A/1C9gH8EcDWwOCIeABZTBd6foJoK/WyAiJgM7FdO8+0eL9dI95YyBbokdWVgLUkaVTJzXma+HngBcBpVID2PKpCeB8wGTgS2ysxGa/PrgDWABC7s8VKNwPqZQNduJ5IEEJmdxuWXJEmS1CtbrCVJkqQaGFhLkiRJNTCwliRJkmpgYC1JkiTVwMBakiRJqoGBtSRJklQDA2tJkiSpBgbWkiRJUg0MrCVJkqQaGFhLkiRJNTCwliRJkmrw/z6ru82kL/ALAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(10,10))\n", "plt.plot(main_components, variances)\n", "plt.grid()\n", "plt.xlabel(\"PCA\")\n", "plt.ylabel(\"Variances\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }