diff --git a/22-05-28-SVM.April_SVM.ipynb b/22-05-28-SVM.April_SVM.ipynb new file mode 100644 index 0000000..e9f6bd1 --- /dev/null +++ b/22-05-28-SVM.April_SVM.ipynb @@ -0,0 +1,1308 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "April SVM.ipynb", + "provenance": [], + "collapsed_sections": [], + "authorship_tag": "ABX9TyN1r4ewQ7ZRkb1bYmvcwlf6", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mlxtend.plotting import plot_decision_regions" + ], + "metadata": { + "id": "wFsWv0tPW4JN" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "mwTQfxwJT_i1" + }, + "outputs": [], + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "X, y = make_circles()" + ] + }, + { + "cell_type": "code", + "source": [ + "plt.scatter(X[:, 0], X[:, 1], c=y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "EaoQ-9UkWvfB", + "outputId": "6b485718-6eba-44e1-e646-3066f2d6d960" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 4 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD4CAYAAADhNOGaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydd5gUVdaH39O5J5MRUEHFgJgRc1ZUVMCAYljDqrjqGtesnznCqmt2May6rhgwoRgWXXNAMCAmEEHJMDB5Onef749qYGa6JzHd1RPu+zz9zMytunV/A1P3VN17gqgqBoPBYOi6OHItwGAwGAy5xRgCg8Fg6OIYQ2AwGAxdHGMIDAaDoYtjDIHBYDB0cVy5FrAh9OzZUwcOHJhrGQaDwdCh+Prrr1eraq+G7R3SEAwcOJBZs2blWobBYDB0KETkj3TtZmnIYDAYujjGEBgMBkMXxxgCg8Fg6OIYQ2AwGAxdHGMIDIZmqKmoZc4nP7PstxVtvlawNsQPn/7MHz8tzoAygyEzZMRrSESeBI4EVqnq0DTHBbgPGAkEgNNV9ZvksdOA65Kn3qqqT2dCk8HQVlSVZ256kRcnvI7L4yIWjbPVsM258dXLKepe2OrrvTlpOo9e+jROl4N4LEG/zftw65tX03vjnllQbzC0nEy9ETwFHNbE8cOBwcnPeOARABHpDtwA7AYMB24QkW4Z0mTootRWBXjx71O54uCbmHjGQ8z/duEGXefjl75gyt1vEAlFCVQFiQQj/DzjV+44+b5WX+uHz37h0UufIhwIE6gKEg6E+eOnJVxz+G1sSAbgQHWQl//xJlcccjN3nfYAc2fOb/U1DIa1ZOSNQFU/FpGBTZwyGnhGrb/4L0WkREQ2AvYHpqtqGYCITMcyKJMzocvQ9agqq+bcXa6gclUV4WAEh0P46KXPueyJ89j/hL1ada2X7p5KqDZcry0WiTH7w5+oKK2kpFdxi6/12v1vEQlG6rUl4glW/lHKgu//YPMdBrb4WrWVtZw37CrWLCsjHIwgDuGTl7/kokfGc8if9mvxdQyGtdi1R9AfqLsouiTZ1lh7CiIyXkRmicis0tLSrAk1dGxevudNyldUEE5OuomEEg5EuO/cx4hFY626VuXq6rTtTreTmvLaVl2rbEUF6R78HU5Ho+M0xusPvcPqpWvW/Y6a/B0fOP9xIqFIM70NhlQ6zGaxqk5S1WGqOqxXr5QIaUMnYPHcpTx25b+5+8yH+ey1r4jH462+xmevf0U0nDrhx+Nxfv+xdRu0ux62I06XM6Xd43Wx0WZ9WnWt3Y/aBa/fk9Iei8TZathmrbrWp69+RSQUTWkXhzD/u99bdS2A5QtW8uS1z/H3Pz/ERy9+3mqDaej42JViYimwcZ2fByTblmItD9Vt/9AmTYZ2xP8mf8I9Zz1KLBonHovz4UtfsNWwzbnz3etwuVv+Z1rYrSBtezyWoKAkv1WaTrr2WD6e8iWBqgDRcAwRweN3c+FDZ6c1EE1xxPhDePPR6axZVrZuEvfmeTn95hPIL26druIe6Teq47E4hd1ad60v3pjFbSfeSzyaIBaN8dGUL3np7qnc89HNeHyphsvQObHrjWAqcKpY7A5Uqupy4F1ghIh0S24Sj0i2GboQoUCYe8f/k3AwQjxmvQWEakLMnTmfDyZ/1qprHXPxkfjyvfXaHE4Hg7bbhL4De7fqWj37deexOfdw7CVHsdWuW7Dv2N35+/9uZL/j92zVdQDyi/J45Ou7OOX/jmPr3Qaz+5G7cPPrV3LcpUe1+lpjLhyZ9nfsv8VGbLxV2pXVtEQjUe467QHCgci6t4BQTYjff1jMtMfea7UuQ8clU+6jk7Ge7HuKyBIsTyA3gKo+CryF5To6H8t99IzksTIRuQWYmbzUzWs3jg1dhx8/+wWHM/WZJFQb5n/Pf8ohp7Z8A3Tvo4cz/9sjeOnvb+DxuYjHEvQd2JsbX7l8g7R1613MmbeftEF9G5JfnM+JVx/DiVcf06br7DZyZ064YjTP3f4qHp+beCxOr417cMvUK1t1nfnf/o4mUjcuwsEIH0z+lKMvGNkmnYaOQ6a8hk5s5rgC5zdy7EngyUzoMOSWeCze6iUTwFqCaMSD0t/gybc5RIQzbjmRoy8cybxZC+jet4TNdxyIFcrSeTjl/8Yy6rzD+OWr+ZT0LmLwzpu1+nf0+NwkEom0x3x5rft3X8va6zkcHWb70UAHTUNtaD+oKq/eP43nbnuFytXV9N6kJ+Mnnsp+Y/do8TWG7LklHr+HQHWwXrsv38vIsw/ZIF0lvYoZfvhOG9S3o1DUo7BNv+Nm229KSa9iVtSsqtfuy/dy5F9GtOpaZSvKue/cx5gx7RtUlWGH7sDFj55DrwE9NlifwT6M2Ta0iZfufoMnr31+nQvkqkWrmXjGg3z55tctvobT6eS2aVdT2C2fvEI/vnwfHp+b0ecfxrARO2RLepdHRLhl6lWU9C4ir8iPL9+Lx+fmkFP3Y59jd2/xdWLRGBfteR0zpn1DPBYnEU8w693ZXLD71cadtYMgGxLVmGuGDRumpjBN7kkkEhzT8wxqKwIpxzbbflP++d3fW3W9SDjKrHe+o7q8hp0OHErvTYybsB3EojG+/u9sKkqr2H7fIa12jf301RlMOP1BgtWheu3+Ah8XPTKeg07eJ5NyDW1ARL5W1WEN283SkGGDCVYHCTeIvF3L8gUrW309j9fNnqN3bassQytxuV3sdsQuG9x/ybzlhAOpT/7BmhCL5y5tizSDTZilIcMG4y/0k1fkT3tswJb9bFZjyBUDt90Yb15qzIG/wMegoZvkQJGhtRhDYAAsn/LWLhM6HA5Ou+kEvA08TLx+D2fekRmXS0P7Z9fDd6Rn/x64POsXGJwuJ8U9i9hzTOvf8GLR2AYl4jNsOMYQdHG+nj6bM7a5iCP8JzO65FSevO65dUFdLWHUeYdxwYNn0mfTXrjcTgYO3ZgbXr6MXQ4xm7xdBafTyT8+vYUDT9wbX74Xb56X/Y7fg/u/vB23x93i6/z05Tz+svPljPSdxFEFp/DghU+YzWabMJvFXZhfvvqVyw68sd76rjfPw4jT9ufCh87OoTJDV2PJvGWcu8sV9bK9enxudj18J258ecOCAQ2pNLZZbN4IujDP3jIlZZMvHIjw7r8+oLayddk1DYa28NLdU1MS6UVCUWa+/S2rFplsw9nGGIIuzKKf03t0ON0uSpeYTB8G+1g4ZxGJeGqUs9vrZtlvrfdAM7QOYwi6MI2lXojH4vTZ1JRPrItqHA1/iNY8gganodq6tWuNzkNrHkNrn0Xjq7OksuOy5bDNcbpT05NEQlEGbGU80LKNMQRdmD9dPxZPgxz53jwvR184En9BerfQjo7GV6CRr9FERcv7JGrQNWPQikvQmvvQquvQ0gPQ2JLm+6qSqLoVXXMcWnMvWj0BLT2QRHB6y8fXBBr9CY3OQbX1NRo6AsddelRK2muv38P+J+xJz37dc6Sq62AMQRdms+03ZeL7NzBkjy1xe1306NeNP992YsaybbYnVIMkys9FSw9By8ejq/YhUXV7i9wUteZeiC0ArQUS1tfEGrTyquYHjsyAwEtACIglv4ag8jI00fw+jEbnoKX7oWUnoWWnoqv2QsMzmh+3g9F3YG/u++xWdjpoO9xeN8W9ihh39dH87fFzcy2tS2C8hjoBsz/6kdceeJuKVZXsMWpXjjznEPIKO+cT/YaSqLwKgtOAupHQfii8Akf+yU33Xbk7pM2O7kJ6z0IceU2Mew0EXyYlvaoUIMV3IL5DG+2riVq0dB/QmgZ985Ce7yNOk9CtLt9//BOv3v9W8j4YxpHnjDD3QQNMiolOyiv3T+PJayYTDlgT3LyvF/DWY+/x8Ky7OuVNoPGlaM1jEP0anAORgvGIe7um+2gEgm8CDdf1gxB4EpoxBI3myG6Z4kb6t+Ca4emgadJEaxxCb0D+6U2PnKhFA89C6G2QQiT/FPCO6HQpuQFee/BtHr/qP/Xug2mT3uORryd0yvsg05iloQ5MbVWAJ69+bt0fP0AkGGH1kjVMm9TyNeiOgsYWoqtHQfBFiM2F8H/RNSejoQ+a6Rig0Ym3JXsFviNI1lmqgwPcOzX5NgAgvqNA0kxEGgfPXk2PmygDUmsTQxhNNL3hrBpC1xwHNQ9C7CeIzkArr0CrJzQ9ZgckWBPk8SufTb0Plpbx5qP/zaGyjkNGDIGIHCYic0VkvoikLJyKyL0i8l3yM09EKuoci9c5NjUTeroK82b9ltbTIhyM8MXUzrd0ptV3J9fp1xZXVyCEVt3Q9Fq/FIMjXZlKAc/wZseVwovBuSlIsh6w5IGjG1J8R/OiPXuAbwzgw7rdPNb3xRMQR/r6yuv7DiftS7vkIZ6m00RrYCrEl1FvKUyDEHgWja9oXncHYt6sBbjSeRwFI3w+dWaaHoaGtHlpSEScwEPAIcASYKaITFXVn9aeo6qX1Dn/AqBuNY2gqu7YVh1dkcLuBWl9r0WgpE9xDhS1DtUIJCrB0R3rz6gZIl8BaZZKEmXWp5E1cxGB4pvR8vOxlocSgAvEhxQ2H7UqjiLoORXCH0LsZ3BuDL7DEPE131cEKb4JzTvB6i954DsccTaf6lncQ1Hv/lY/kkV7xA/uHcDTTN3kSJ0+9S8K0e/AeViz42uiGogjjpJmz80lhd0LiKe5DwBKerf/+6A9kIk9guHAfFVdACAizwOjgZ8aOf9ErJrGhjay+Q4D6bVxD5bOW06iTu1Zj9/bruvNqsbQ6okQmAwoSB5aeBmOvLFNd3R0g3gjSzmO/Ca7incf6PE8WvsYxBaCe2ek4EzE2bJi7yIu8B0MHNyi81P6u4eAe0jr+5XcA6GpaOAlIAa+Y5C8YxFp5mXe0RdwAg3dTRUcTW8ya3w5WnE5RL+1fnZtgRRPRNxbtlq/HQzabhP6bNqLxXOX1XswWusKbWieTCwN9QcW1/l5SbItBRHZFBgE/K9Os09EZonIlyIyprFBRGR88rxZpaUm5Bysp8073r6O/lv2w5fvJb84D6/fw1l3nsx2+2yTa3mNotUTkkYgBIRBy6HqFjT0XtMd888EGq63e8E3smVP5+4hOEruxdHzNRzF17fYCOQSESfiPxpHj+dw9HgRR/44RJpP5Cb5J5F2X0NKwN147QHVGLpmHERnYe1PRCH2s+W+mqhsy6+SNUSE29+6hgHJ+yCvKHkf3HESO+y3ba7ldQjs9hoaB0zR+lExm6rqUhHZDPifiMxR1d8adlTVScAksNxH7ZHb/umzaS+e+PFeFs5ZRNWaarYctnm79pJQDUPgeSwjUJcQWvMg4mv8iVv8Y9HYHxB4xlri0Ch490GKb8qq5o6IuLZAiydA1bWAWpvTzv5It0ebfpsIfwxaRcoSnEbQ4FQk/0/ZlL3B9N6kF4//cE+HuQ/aG5kwBEuBjev8PCDZlo5xwPl1G1R1afLrAhH5EGv/IMUQdBVKl6yhYlUlm2zTH6/f23wHrCeizbbfNMvKMkSikkY9eOLLm+wqIkjR5WjBOdbyjrMP4uybeY2dBIf/MNR3IMR+AclHXJs33ym+BDSW5kAIYn9kXGMmact9sOy3FQSqgwwauglOVwv2qzoZmTAEM4HBIjIIywCMA1JCU0Vka6Ab8EWdtm5AQFXDItIT2AvofP5tLaC6vIabj7ubn76Yi8vjIpFQzr7zZEad1/ymXq5RDUMk6aXk2RWR1GpV63D0APGBpilx6W7Za7w4isBj6h20BBEPuLdveQf3UBBHqq2WPMTTvE+Hxn6zDIZrC8TV/quTrfyjlBuOnsCSuctwuBy4XE7+9sR57DWmeW+yzkSb9whUNQb8FXgX+Bl4UVV/FJGbRWRUnVPHAc9rfT+/bYBZIjIb+AC4s663UVfi5rF388NnvxAJRQlUBQnVhJh0xbN8PX12rqU1iYY/RlftgVZcYH1W7YGGP2v0fBEnFF5G6lq/Hym8NKtaDS3AvRO4hgJ130bdlvutb0Sj3TQRIFF2Orr6aLTyMnT1ESTKL2h1cj47UVUuP/gmFs5ZRDgYIVgdorq8ljtOuY8/flrc/AU6ERmJI1DVt1R1S1XdXFVvS7Zdr6pT65xzo6pe1aDf56q6narukPz6RCb0dDRKl6zhp8/nEovUfyUPB8K8OLH9hlZofDVa/lcrBcK6TzVacR6aKG+0nyPvBKRkIri2sXz8PXshPf6DuIfaqN6QDhFBuj9pbcw7+lpvcHnjkB4vNfmmp9W3QuRrIJRMiRGG8EdozUO2aW8tP34+l4qVlSku2NFwjKmPdK1ANJNioh1QsaoSl8eVUpgDYPWydlwXIPQWadf7FQi9A3knNtpVfCOQJp4wDblDxGsF0RVe3KLzVRMQnEpqCo+Q5RhQeEm6bjmnfEUF4khNt5GIJyhd1LVShZsUE+2ATbbpXy8OYC0uj5NhI9rxWrhWkz4FQgQS1XarMeSMGOujvRugaYLa2gnb7D6YaCRVtzfPy66Hda0YV2MI2gFev5ez7zoFb976dVmX20l+cT4nXDE6h8qawbMX9deS1+IGbzN5dAydBhGPtcyXegQ8u9mup6X07N+DUeeOwJe//m/Y7XPTs393Dj51vxwqsx+zNNROGHXuofTfoi8v/X0qq5eWscuIHTjhitF079vNVh2qCtGZEJ0Dzv7gPbDxtWH3Dla0beh9IGC1SR74DkVa6AFk6BxI8S1o2SmgEay3Aw+IFym6psl+Gv0VIp+CFIJvhOURZiPn/P00ttltS1594C0ClUH2OW53jrn4CPz5zQcodiZMPQLDOlRDaNnplt+5RkC8lttg98mNugKqJiD8Hhp8FRDEfwx4D+qUqY4NTaPxpWjtM1ZmWPcOSN7JiDNdsj/rgUOrbk7WakgAThCQkkcR7x626u5KmHoEhmbRmkkQ/ZF1GSs1BhpEKy9DeryYto+Iw3qSMxu/XR5x9keKrm7ZyZFPIPgK9SLMFbTifOj9ZdOxKIaMYwxBFvnlq19596kPCNWG2efY3dn9yF1wONrxtkzwZepX8AJIQPRHNFGOOOxdpjJ0XjTwMmmzo4KVZda7t616WsOK31cxbdJ7rFi4kh32H8pBp+zT4ZeSjCHIEi9MfJ1/3/QikVAUTSifvvIVOx+8HTe8fFk7NgZNLRN2vCVEQ3umYVbUujTigdQOmP3hj1x31B3EojFikThfvvk1L054jQdn3klR98Jcy9tg2uuM1KFZs7ycp69/gXAggibdQkO1Ib5573tmvvNdjtU1gf9IrMIpdRFwbY44uudCkaGTIv7RQLrqbol262mkqtx12gOEasPEIpYhC9WGWb20jOfvfDXH6tqGMQRZ4Jv3vk9bMSlUG+azV2fkQFHLkPzzwDVwfSUu/Fat2+K/51KWoTPiPQi8+yfLeArrKrcVTUTSlfZsB6z4fRVVq1PjY6KRGJ+83H7v65ZgloaygC/PSzqnGYfTQV5R0zVus4HGV6GB563qWu6hSN6JaZ/wxVEAPV6D8P/QyGzEtTH4jmy+pKLB0EpEHFByL0S/RsMfgxQh/iMbzSarqhD5CA1OBRyI/2jw7Gmrd5ovz5s28HPtsY6MMQRZYNfDdyKdJXB7XIw4bX9btWh0Hlo2LunfHYHwp2jtv6DHy4grNWWvVYnLeAEZso+IgGcY4knxZqyHqqKVV0L4v6BWvIqGp4P/OKTo/+yQCkC3PiUM3mUzfpnxa0oltFHnHWqbjmxgloaygC/Pyy1TryK/OI+8Ij/+Qh8en5vxE/9ke90ArbohmQRsbR6YsJUYruoWW3UYDBtMdDaE3l1nBAArdUXgJSsgzUaue/4S+g7qjb/Ah7/Auq/3PmY3jjjnEFt1ZBrzRpAltt93CC8uf4xZ/51NJBhh54O3p6iHvV4FqnGIfpPuCES+SNNuMLQ/NPwRqRXtAOIQ+Rjcg23T0mtAD/71y33M+eRnVi8pY6vhWzBg8Ea2jZ8tjCHIIh6fhz1H7ZpDBQ6surVpcsK3oMavwdAeEEcBmu7vWFwg9u9fORyOTlcLOSNLQyJymIjMFZH5InJVmuOni0ipiHyX/JxV59hpIvJr8nNaJvQYLEQE/KNJdQn1gv+4XEgyGFqP7wjSTlUK+Dr22nx7oc2GQEScwEPA4cAQ4EQRGZLm1BdUdcfk5/Fk3+7ADcBuwHDghmT5ynaNqrJ6WRlVZe0/1bIUXmMlh8OXdAv1gWe4qQZm6DCIsy8UT8RyZ8633gIkD+n2AOIoybW8JolFY6xaVEo4mKY0azsiE0tDw4H5qroAQESeB0YDLSk5eSgwXVXLkn2nA4cBkzOgKyv88NkvTDj9QdYsLUMTyrZ7b83Vz15oe5bQliKOfKTHf9DozxD/HZxbIDauqRoMmcDhPxT17g2RLwEHePdA2vny5iv3T+OZG14kFo2DKkeMP5jxE0/F6UqNMco1mVga6g/ULfC5JNnWkGNF5HsRmSIiG7eyb7tg1eLVXH3YrSz/bSWRUJRoJMacj3/i8oNuIhdZXDX6PYk1x5NYsQ2JlcNJ1DxobRCnQdzbIL7DjREwdFjEkY/4DkJ8BzRqBDQym8SasXXuiYcavSeyyf+e+4Qnr5lMbWWAcCBMOBhh2mPv8cQ1z9mupSXY5T76BjBQVbcHpgNPt/YCIjJeRGaJyKzS0tKMC2wJ0/453bLudYjHEpQuXsOPn/1iqxaN/YaWnQrR74A4aAXUTEKrrrdVh8HQXtDY/OQ9MZv198Q/0aqbbNfy7K0vEw7UXw4KByJMffhdYtH2l0spE4ZgKbBxnZ8HJNvWoaprVHXtv8rjwC4t7VvnGpNUdZiqDuvVq1cGZLeeJb8uTykwD4DAyj/srXGqNZNAG7rUhSD4Oppox3WODYYsoTWPkJo9NwTBV9FEha1a1jRSazweixOobn/lOzNhCGYCg0VkkFhJxMcBU+ueICJ1HW1HAT8nv38XGCEi3ZKbxCOSbe2S7ffdpl45ybXEo3G22nVze8XEfsIq6NEA8UJskb1aDIb2QPRn0t8Tbojbe09ssdOgtO2F3Qso7Nb+Ura02RCoagz4K9YE/jPwoqr+KCI3i8io5GkXisiPIjIbuBA4Pdm3DLgFy5jMBG5eu3HcHhlx2v4U9yysl1DOm+dhj1G7MmDLfvaKcW1Nepe6MDRSTcxg6NS4G7snouAcYKuU8RP+hLdBzjFvnoe/3H1qu6zeZ0pVtpKK0kr+ffMUPnt1hpVj5NwRjLlgpO2eABqbj64+lvrFPXzgH4mj+E5btRgM7QGNzkPXHEf9KGQf+I/EUXy77Xp+/WYBT/3f8/z6zQL6DurDn24Yy66H7mi7jro0VqrSGIIOjEa+seq+xn62/Kv9JyGFFyHizrU0gyEnaOTrOvdEIeSdghRcYCVTNJiaxZ0R8eyM9HwNVW2Xr5sGg92IZxek5+vmnmglxhC0YzRRiwbfgNgP4BqM+McgjuKU88wfvMFQn8buCauuwVdo6B0QP+Ifhbi3tlld+8MYgnaKxlega46FRA3WPoAfrXkQeryIuNJ7JBgMhsax6hpcBeF3kq7XggaeRQsvwZF/Rq7l5RRTj6ABy35bwW0n3svYvmdx1naXMv2Zj3ITNVx1ByTKWL8ZHAStQivtK8RhMHQqIjOSRiCIlbEuAYSg+m40vsp2OUvnL+fWcdZcc/b2lzL937mZa8C8EdRj1aJSzht2JcHqIImEUrGqkvvPf4wl85dzxs3j7BUT/gBoGBqvEJ2FasxsfhkMrURD76YJwsRKZx3+BPKOtU3Lyj9KOX/Xq+rPNec9xrLfVnDajSfYpmMt5o2gDi9MnEooEK5XlzRUG2bK36dSW1lrr5hGPX8cmP82g2EDEB+Qbu9ArEBMG3n+zlcJ1abONS9NnJqTyGMzo9Rhzsc/EY+mJqhyeVws+mWZvWJ8Y0itI+AG7yFW4W+DwdAqJG1tDoAEePe3VcsPn/5CPJY61zjdThb/kjbLTlYxM0od+m3RN13NeaKRGL0GdLdVixReCu4hIH6sWgJ54BqIFN9oqw6DobMg7q2h8BLAY91Xkg/4kZL7EYe9aR8am2tikRg9B/SwVQuYPYJ6nHDFGGa98x3h4PqSeG6vm10O3p6e/e39zxFHPnR/AaLfQmweOAeCZzfjKmowtAFH/hmo7whrT0C84N3fdiMAcMIVo/l6+mzCgfVzjcfnZpcRO9BjI/trm5g3gjpss9tgrnr2Qrr3LcHj9+D2utnr6OFcM/ninOgREStoLG8c4t3dGAGDIQOIszeSdyziPzInRgBgyB5bceXTF9Ctbwkenxu3183ex+zG1f+5KCd6TIqJNCQSCcqWl5NfnIe/wJ+1cdai0R+swDHiiG8k4tk562MaDIb6aKIcDbwK8YWIewfwH4FIdu9/u+cak2KiFTgcDtuWghI1D0DNY0AEUDT4Euo/HkfRtbaMbzAYkgnryk60MpUSsh7Mah6AHq8gzuzNBXbONU3qyLWArozG/oCaSVjZEhOAWsEugRfQaEtKPhsMhkyglVeD1rA+c2kAEqVozd25lGUbxhDkkvAHWBGODYmgofftVmMwdEk0UZMs9NTwXoxBaHouJNlOlzcEkXCUeNz+4tYAiIf0/wVOrGJvBoMh64iL9IFmNBHYmV1UlXAwTCKRpuJaFsiIIRCRw0RkrojMF5Gr0hy/VER+EpHvReR9Edm0zrG4iHyX/Ext2DdbzPv6N84ddgVH5Z/MUQWnMOGMB+2P6POOIP0bgQN8h9urxWDoooj4wLMnqVumXvDbl3ZiLZ+8MoNTBp3HqKJTObr76Txz04tZNwhtNgQi4gQeAg4HhgAnisiQBqd9CwxT1e2BKcCEOseCqrpj8jMKG1i1qJTLDriR+d8sJJFQouEYHz7/GdePsreylzh7QvFdgBfIs4LG8ELR9YgpN2kw2IYU32GVs5R8wAf4wb0DUnC+rTq+ee977jr1flYtWk0iniBQFeTFiVN54prnsjpuJryGhgPzVXUBgIg8D4wG1u12quoHdc7/EjglA+NuMK89+A7RSLReWzQc45eZ8/n9x8UM3HZj27Q4/CNR754Q/hA0Ab79EYe9UcwGQ1dHnL2g5zsQ+QLii8G1Dbi3tz125+kbX6gXZAYQDoR5/V1XK+8AACAASURBVMF3OO3G4/H4srNknImlof7A4jo/L0m2NcaZwNt1fvaJyCwR+VJExjTWSUTGJ8+bVVpa2ibBC+csIhZJk+fD5WLpr8vbdO0NQRwlVtGZvGOMETAYcoSIA/HuZQVwenbISQDnsvkrGj1WUVqVtXFt3SwWkVOAYcDEOs2bJgMcTgL+ISKbp+urqpNUdZiqDuvVq1ebdGyz+2A8vtRNoFgkyqDtsr8ko4laq/CM5miT2mAwtBhNVKHxVbbUCths+03TtjudDrr1Sa1OmCkyYQiWAnXXUgYk2+ohIgcD1wKjVDW8tl1Vlya/LgA+BHbKgKYmOercQ/H4PYhjvcX3+D0MP3xn+m3eN2vjqoZIVFyBrtoNLR2Blu5FIjgta+MZDIYNR+NrSJT9GV21B1p6ILr6YDSSvYwGAKffciLevPrLP948LydddyxuT/Y8mDJhCGYCg0VkkFg+j+OAet4/IrIT8E8sI7CqTns3ESsRuIj0BPaizt5CtujWu5gHZ9zB7kfugjfPS3GvIsb+7SiumZzdPB9acQWE3saKIg5ZFcgqr0YjM7M6rsFgaB2qipafCpEvgSgQgfhitPxMNJ69NNHb7DaYO9+5jq13s1Yt+g7qzfn3n8Hxl2XXjyYjuYZEZCTwD8AJPKmqt4nIzcAsVZ0qIu8B2wFrF+AXqeooEdkTy0AksIzSP1T1iebGy3auoWygiTJ01b5YRqABnn1wdG/21zYYDDahke/Q8tNBAw2OuCH/DByFl+VCVpvJaq4hVX0LeKtB2/V1vj+4kX6fYxmIzk98pRWcomkMQXyR/XoMBkPjxJeCptssjkJsoe1ysk2Xjyy2DddAyz00BSd4Ugy0wWDIJe6hQCzNAT94htutJusYQ2ATIn4o+AtQN9WsA8SP5J+bK1kGgyEN4toUfIdgBZetxQWOIiQH0cbZxhgCG3EUnIsU3waurcDRw6o/3GOKiSI2GNohUjzRKm3p3AQcvcA/Funxas6K2WSTLlOPQFX56MXPmXLPG1SWVrPr4Tty0rXH0rOfzbWI/Uci/iNtHdNgMLQeESeSfwbkn5EzDarK+//5hJf/8SY15bXsfsQunHTtMXTrU5LRcbpMhbKnb3yBKXe/QajWCmFwupwUdMvnsTn30K139gI1DAaDYUOZdMUzvPHwfwkFrHnL5XZS1LOIx+bcTVH3wlZfrzGvoS6xNFRTUcsLE15fZwQA4rE4gaoAr96X/YAuVU2Wo3wLjf2W9fEMBkPmUQ2iof+hoffRREO30sxTvqqS1x58Z50RAIhF49SU1/Dmo//N6FhdwhAsnLMItyd1FSwajvHNe3OyOrYmqtA1Y9Gyk9Gq69DVR5MoPwdN50ZqMBjaJRr6wIowrrwMrbwcLd2DRDC7RWvmf7sQjzc1mjgSivL19O8zOlaXMAQ9+nUjFk3N6yMi9B3UtrxFzaFVN0DsZ6sE5dpSeOHP0ZqHszquwWDIDBpfg1ZcZAWXaU3yE4TKv6HxVc1fYAPp2b878TTzlsPpYKNBvTM6VpcwBP0278tWwzbH1eCtwON3c9ylR2VtXNUohP6LFaJelzAEX8jauAaDIYOE32nkgCZTxmSHQUM3YZMhA3C5nfXa3V4Xx1ycWYeTLmEIAG567Qp2OmAobq8bX4GPoh4FXP7k+Ww9fHAWR41jZc9Ig4bStxsMhvZFopb0wWVR0NqsDn37W9cwdJ9trHkr38qLds1zFzeapXRD6TJeQ2upKK2kpryWjTbrg9PlbL5DG0msPhpiPzZodYB3BI5u92d9fIPB0DY0+jO65gSg4cObD+kxGXFvm3UN5SsrqK0MsNHmfXA6N3ze6tJeQ3Up6VXMgC372WIEAKT41mT5u7WpZX0gxUjRlbaMbzAY2oa4twH/MSB1swL4wX+ULUYAoFufEmveaoMRaIouE1CWK8S9LfR8Gw08D7F5Vh3UvBMQR2YDQgwGQ/aQohvAdwgafA1IIP4x4Nk717IyhjEENiDOvkjhxbmWYTAYNhARAe9eiHevXEvJCl1uachgMBgM9ekybwRVZdXMePMb4vEEu43cKeO5OhpDVSEyA+ILwbUFuIflpCi2wWBoOxpfDeGPQBzgPcC2Jd54PM43781hxcJVbLHTILYevkVG55GMGAIROQy4D6tC2eOqemeD417gGWAXYA1wgqr+njx2NXAmlq/lhar6biY01eXjKV8w4bQHcTgdqCoPnJ/g3HtP58hzRmR6qHpoogItOwXiS6xaBOIA52bQ/ZlOmcHQYOjMJAIvQNWt1n2sAtyAFt+Jwz8yq+OuWV7OJfv8HxWllSRiCcQhbLXrFtz+1jV4fJ7mL9AC2rw0JCJO4CHgcGAIcKKIDGlw2plAuapuAdwL3JXsOwSrxvG2wGHAw8nrZYyK0kruOu1BwsEIwZoQodowkVCURy59mqXzlzd/gTagVbdY1Yw0AISsr7G5aPVdWR3XYDBkFo0tsowAYSuqmOQ9XXml9ZaQRSac9iAr/yglWB0iHIwQqg3z84x5PHfbyxkbIxN7BMOB+aq6QK0EOs8DoxucMxp4Ovn9FOAgsd5rRgPPq2pYVRcC85PXyxifvfoVjjSvUPFYnA+e/yyTQ9VDVSH0DqlRxVEIvZG1cQ0GQ+bR0NukDw4VCGc2AVxdgjVBvv/oRxLx+mNHglHe+dcHGRsnE4agP7C4zs9Lkm1pz1HVGFAJ9GhhXwBEZLyIzBKRWaWlpS0WF43ESCRS/wMT8QTRUMNJOpMo1mpXukPpohQNBkO7RcOkv58T6euQZ4h4LEFjIb+xSCPzywbQYbyGVHWSqg5T1WG9erU8UdxuR+yctt3j87DnmOzVHhVxgGcPUv+JHeDdL2vjGgyGzCO+g1kfFFrvCHgPzNq4BSX5DBqaWsHQ5Xay9zG7ZWycTBiCpcDGdX4ekGxLe46IuIBirE3jlvRtExsN6sPJ1x2L1+/B4RBEBG+el8P+fABbDds8k0OlIEU3gRSzvk6xHxzdkaLrsjquwWDILOIeAnnjsGoYO5IfHxSck/VSs1c8dT75xXl4/ZYh8hX46Nm/B2fcOi5jY7Q511ByYp8HHIQ1ic8ETlLVH+uccz6wnar+RUTGAceo6vEisi3wHNa+QD/gfWCwqjb5zrMhuYbmf7uQDyZ/SiwWZ9/j9mDbPbdqVf8NRRM1VjRibB64hiD+oxBHvi1jGwyGzKKR79DQW4DTKjtrU4qJqrJq/vv0hyz9dTlbDx/M/ifsidfvbfV1Gss1lJGkcyIyEvgHlvvok6p6m4jcDMxS1aki4gP+DewElAHjVHVBsu+1wJ+x0vtdrKrN5nVtS9I5g8Fg6Kpk1RDYjTEEBoPB0HoaMwRdJrI4l6hGIDQd4ovAtTV49yXD4RIGgyHLaGwJhKcDCt6Ds743YCfGEGQZjS9H1xy/vryd+MHZD7pPRhxFuZZnMBhaQKL2GaieCGudOavvRQsvxZF/Rk51ZYoO4z6aSexcDtPKayBRmqxklLC+xn5Hq++xTYPBYNhwNLYkaQTCQCT5CUP1PWjsD/t0ZHHe6jKGIBqJ8tiV/2Z08akc6jqBv+5+NXNnzs/qmKoRiHxJakRiFEJvZnVsg8GQIdYuB6UQT9Ykzx6RcJSHL/kXRxX+iUPdJ3DRXtcy/7uFGR+nyxiCiWc8zGsPvkOgOoiqMver+Vx24I0smbcs19IMBkO7pqkn8eyuLtw27l6mTZpOqDaEJpSfvpjHpftez8o/Wp5doSV0CUOwelkZn74yg0iwfih4NBzlpbunZm1cEQ94diX1n9kNvuxmLDQYDBnCezCQLuWzE3zZy2C8fOFKZr37HZFg/VQ40XCMV/4xLaNjdQlDsGz+Cjw+d0p7PJZg/re/Z3VsKb4DHD1A8pIN+eAcgBT+LavjGgyGzCCuTaDwUsALuLF8bLxQcAHiGpi1cZfMXYbbmzpvxaIxfv12QUbH6hJeQ/0Hb0QknJpgzulyMHjnQVkdW5z9odf71lpi/A9wbQXeA7ECsg0GQ0fAkX8G6j0wuSeg4BuRVSMAsPHW/YmmmbdcHhdb7rJZRsfqEm8EPTbqxn7H7bEuV8da3D4PYy8blfXxRXyIfxRScAHiG2GMgMHQARHXpkjB2UjB+KwbAYC+A3sz/PCd8TSct7xujrnoiIyO1SUMAcDfnjiXYy85koKSfBxOB9vuuRX3fHgT/bfYKNfSDAaDIS3XTL6IMX89jPziPBxOB9vvN4T7Pr2F3pu0PANzSzApJmxGo3PQ2qcgvhy8eyN5JyOO4lzLMhgMadDwp2jgP5CoBt9IJO9YrMq7HROTYqIdkAhOg8qrsQJSEhCdgwYmQ8/XEUf3XMszGAx1SFTfB4Enk6Upse7X4MvQY7LlEdiJ6DJLQ7lGNQpVNwAh1geYhSFRhtY+nkNlBoOhIRovhdrH1hsBAIIQmw+hZhMkdziMIbCL2ALSl7qLQuh9u9UYDIamiM4CSXXdhCDaCe9XYwjswlHceK1iRzd7tRgMhqaRxvbtHFZcUCejy+4R1FTUMuXeN/nslRnkl+Rx9AUj2XfsHoikiyBsO+Lsi7qHQnQ2Vg2etfiRTpLB0GDoNHh2s4JANUD9NBIeJO+ErA69fOFKJt/xKj98+gsbbdaHE68+mqF7bZ3VMdtkCESkO/ACMBD4HTheVcsbnLMj8AhQhLU2cpuqvpA89hSwH1CZPP10Vf2uLZpaQrAmyHnDrmT10rJ1ARu/ffc7c2f9xvgJf8rauFLyAFp+trVMJE7QCOT/GbzZC1M3GAytR8QJ3Z9Gy84CrcBaPIlD4U2IO3uT8pJfl3P+rlcSDoSJxxIs/mUpsz/8gcv/9Vf2G7tH1sZtk/uoiEwAylT1ThG5Cuimqlc2OGdLQFX1VxHpB3wNbKOqFUlD8KaqTmnNuG11H331gbd44ur/EA7Uzz3k9rp5duFDdO+b3aUajf4KiVXg3hZxlGR1LIPBsOGoKsTmQCIAnh0Q8Wd1vFvH3csnU74gkag/L5f0LuaFZZNwONq2mt+Y+2hb9whGA08nv38aGNPwBFWdp6q/Jr9fBqwCMhsN0Upmvv1tihEAcHtd/DIju6mpAcQ9GPHuZYyAwdDOERHEvT3i3T3rRgBg9oc/phgBgEB1kDXLytP0yAxtNQR9VHV58vsVQJ+mThaR4YAH+K1O820i8r2I3CtNRGqIyHgRmSUis0pL25aCtfcmPXE4U391TSjd+to/OasmrECzyGy0sQ1lg8GQdTS+DI3MRBNlORm/W5/0m9SaUApK8rI2brOGQETeE5Ef0nxG1xNqrTE1us4kIhsB/wbOUNW1jvRXA1sDuwLdgSsb6Y6qTlLVYao6rFevtr1QjD7/MNye+tsjDqeDHv27s/XwLdp07daike/Q0r3RslPR8tPRVXui4S9t1WAwdHVUgyTKz0FLD0XL/4Ku2o9E5U2sn6rsYdyVY/Dl1X8e9vjc7Hvc7vgLsvdG0qwhUNWDVXVoms/rwMrkBL92ol+V7hoiUgRMA65V1S/rXHu5WoSBfwHDM/FLNceg7TblymcuoLBbPv5CHx6/h813HMiE6ddnzWsoHZqoQcv/DInVVglLrQWtQCvOQeNrbNNhMHR1tOomCH8OhEGrra/BV9DAv23VccCJezPuqjF4/R7yivx4fG6GH74zF//znKyO29bN4onAmjqbxd1V9YoG53iAt4E3VPUfDY5tpKrLxZp97wVCqnpVc+NmKtdQPBbn9x8Xk1fkZ6NBTa5qZQUNvIJW3QwEGhzxIoWXIfmn2a7JYOhqqEbQlTtjpX5pgKMfjt4f2i2JYE2QJfOW07N/d7r1ydxydbZyDd0JvCgiZwJ/AMcnBxsG/EVVz0q27Qv0EJHTk/3Wuon+R0R6YZX/+Q74Sxv1tAqny8nmOwy0c8j6aDlp//gIo4nytDWRDAZDhtEwqXXF1x6rslXKWvwFfgbvnNmaA03RJkOgqmuAg9K0zwLOSn7/LPBsI/0PbMv4HR7PblgVjxpuEOchnt1yIMhg6IJIATj7QXxRwwPJe7TzY1JM5BBxDwXvAVDPLc0Pnl3As3vOdBkMXQkRQYpuBvysnxJdIAVI4eU5VGYfXTbFRHtBSu6B0Jto4CUgjviPAf8YWzetDYaujnj3hB4vWpmAYwvAsyOSfybi7JdrabZgDEED5n+7kEcueYqfZ/xKQUkex1x8BMdfPrrNEX2NIeIA/yjEn/2SmQaDoXHEvRVSMtG28X79ZgGPXPIUv3w1n8Ju+Rxz8RGMvWxU1uaapjCGoA5L5i3jkv2uJ1QTAqB8ZSXP3jKFVYtWc+FDZ+dEk8ZXQ3whODdGnH1zosFg6EyoRiH6I4gHXNvk5O178dylXLrfDYRqrbmmbEUF/755CqVL1vDX+8+0XY/ZI6jDC3e9RiRY34snHIjw7r8+oGpNta1aVOMkKq9BS/e3AlxKDyFRfiGq6byMDAZDS9DQB+iqPdDyM9Cyk9DSA9DoL7brmHzHq0RCDeeaMG8//j7V5TW26zGGoA5zZ/1GIp7qRub2ulk6f4WtWrR2EgTfBCLrA1zCH6LVE2zVYTB0FjS2BK24yHIJ1VorxXRimRXVb/MD1q9fL2h0rllm81wDxhDUY+DQTXA4Ul8TI6EofQf1tldM4BmsspZ1CUHgRdoSBGgwdFU0+DKNVgkMf2Srlk2Hbow0Mtf0GWh/Tk5jCOpw4lVjcPvql6fz+j3se9zudOvdWMWiLJFo7PUwAkTtVGIwdA4Sq0l772gCEtnL7JmOE686Go/PU6/N6/ew3wl7UtLL5rkGYwjqMWi7Tbn9rWsZOHRjRARfvpcj/zKCvz1xrv1iPDulb3dtgZW1w2AwtAbx7m1VHUshAR5b0pytY/MdBnLbm1ez6bbr55qjzjuUvz1ma3KFdbQp11CuyFSuoaaIRWM4Xc6c+fNr9Be0bJxVxYwY4AQ8SPcnEc8uOdFkMHRkVGNo2ckQ/Zn1y65+8I/CUXxLznTZOddkK9dQp8Xlzu0/jbi3hh5T0donIDoH3Fsi+WchLnvTZBsMnQURF3T/txW8GZoK4kPyxoH3sJzqyvVcA8YQtGvEtQlSfFOuZRgMnQYRD5J/MuSfnGsp7QpjCDowGluC1jwAkc/B0QPJPwt8R5j0FIYui8YWJ++JL8DRE8k/G/GPzLWsdo8xBK0kEo4y/ekP+fDFz8kr9HPUuYcybMQOtuvQ+Ap0zRjQGiABiZVo1bUQ/x0p+KvtegyGXKPx5eiao+vfE5VXo/HfcRScZ7ueNcvLee2Bt/jxs7lssk1/jr3kSDbeqr/tOlqC2SxuBbFojEv3u54F3y8iHAgD4Mv3cswlR3LGzeNs1ZKougUCk0lNYe1Fen+BOAps1WMw5JpE5U0QfIHUe8KXvCfybdOyfMFKztv1SsKBMNFwDIfTgdvr5va3rmH7fYfYpqMhjW0Wt8l9VES6i8h0Efk1+bVbI+fFReS75GdqnfZBIjJDROaLyAvSzv0iP57yJQvnrDcCAKHaMC9NnMrqZTYXu458ReofPCBuiP1mrxaDoT0QmUH6e8IF8QW2Snnsyn9TWxkgGrb0JOIJwoEw945/1FYdLaWtcQRXAe+r6mDg/eTP6Qiq6o7JT900m3cB96rqFkA5YH+2pVbwxdRZhGrDKe0uj5PvP/rJXjHOAZCuhplGwWl/2U2DIec4B6Rv1yg47M0M8M37c9BE6mrL8oWrqKmotVVLS2irIRgNPJ38/mlgTEs7JusUHwhM2ZD+uaCkdxEOZ+o/mSAUdrd3KUbyxwPeBq0e8Aw3WUoNXRIpGA/4GrR6wLMHYvPDUX5RusA1cIjg8be/hY+2GoI+qro8+f0KoLF/bZ+IzBKRL0Vk7WTfA6hQ1bXvckuA9rmTkmTk2Qfj9qTur3v8HnY+aDtbtYhnJyi+E6Qb1h+/B7z7ISX32arDYGgviGcYFN+evCf8WPfEAUjJvbZrGXPB4Xjz6j+oub0u9jluDzxedyO9ckezXkMi8h6Q7hHz2ro/qKqKSGM7z5uq6lIR2Qz4n4jMASpbI1RExgPjATbZZJPWdM0Yg4ZuwsWTzuG+v0zC4XSimiC/KI/b374Wp8tpux6HfyTqOxTiy8BRjDiKGj1XE9UQXw7OfmYj2dAhUVWI/wE4rPocadykHf4jUd/hLbonsskxFx/Bop+X8v5zn+DxuolFYgzZcysueiQ3dU2ao01eQyIyF9hfVZeLyEbAh6q6VTN9ngLeBF4GSoG+qhoTkT2AG1X10ObGzZXX0FpCgTA/fTEPX76XrYdvkZOKQi1FNY5W3QLBKdZGssYg72Sk8AqrOprB0AHQ6By0/CJIrAEUnH2RkgcQd5PTTc5ZvayM339YTN9BvRkweKNcy8mO1xAwFTgt+f1pwOtpBu4mIt7k9z2BvYCf1LJAHwDHNdW/PeLL87LzQdsxZPct27URAKzgmuArWHUNaoEwBCajtf/KtTSDoUVoohItOxUSS4AgEIL472jZKagGcy2vSXr2686wETu0CyPQFG2dxe4EDhGRX4GDkz8jIsNE5PHkOdsAs0RkNtbEf6eqrnWxuRK4VETmY+0ZPNFGPYY6qGojdQ2CEDD/1IYOQmgaaLo6AjEITbddTmekTZHFqroGOChN+yzgrOT3nwNpd1JVdQFgb/5Xm1ny63IiwQibbjsAp9PufYREMsoy3aEKe6UYDBuIxleR+jADaBgSq2zXA1bUcNnycgZs1Q9/fkNPpY6HSTGRJZb8upwbj57AioWrcDgdeP0ernr2QnY5xL50FCJO1Lk5xNMEmLm3tU2HwdAWxLMTGsizSkvWO+AG9862aglUB7n95Pv4Zvr3uL0u4rEEf7phLCdcPtpWHZmmfS9wd1DisTh/2/8GFv28lHAwQrAmREVpFTccPZEVv9v7BCNF12O5l671sBDAhxRe23gng6E94dkHXFtRP0bAZxkBdyMFnLLExNMf4pvps4mGowSqgoQDYZ696SU+eWWGrToyjTEEWeDr6d8TrAml1BaOx+K88+T/bNUi3j2QHv8B7wHg3AS8I5AeLyCeHRvto7H5aPA1NDLT1Ec2ZBWNr0KDb6ChDxotIC/iQLo/AwUXgHOwZRQK/4Z0m2Rrpt2qsmpmvPXNurQRawkFwrww4TXbdGQDszSUBcpXVqCJREp7LBJj1eLVtusR93ZIt+ZznKjG0IqLIfwxrHUtdfSB7s8iTvsLahs6N4mah6HmYcANIoATuj+JuFO3FEW8SMHZUJA7P/zqshqcLgfR1CwzlK/o2Htu5o0gC2y751Yk0uQZ8eV72eVg+1NWtxStfcoyAoSs9VgNQHwRWnlZrqUZOhkamQk1/wQiQK3l1KCVaNlZrE820L7oO7A3rjSZBRxOBzseODQHijKHMQRZYMCW/Thg3F748teHmHt8Hvpt3pd9x+6eQ2XNEJxMqndGHCKz0ERVLhQZOikaeIG0nkBEIDLTbjktwulycv59Z+DNW58ryOl2klfk50/Xj82hsrZjloayxKWP/YUd9t+WNx55l1AgzIHj9mb0BYfj9rS/PCPr0HQ3JoBYrnoGQ6bQWiDd/pNAOw4SO/iU/ei1cU9emPA6K38vZccDtuWEK8fQe+OeuZbWJkxhGsM6EpU3QvBFUnK6OwciPd81JTANGUODb6CV12FFCtfFFFbKJtlKMWHoREjhheDohZW5EcADkocUT2jSCGhsPonqh0hUP4yaojhdFtUgGnyVRPU9aHBao15AAPgOB/cOIGvTNTsAHxRdb4xADjBvBO2IpfOXM23Se5QuXs2wQ3fkgHF74fHZm7tcE7Vo8HWIzgTnICTv+CbrG1ieH4+w/i3CBQUX4sihd4fBfjS+FF1zvLXkowGQfHB0Q3pMQRzd0/fROITfQ0PTwVGC+MfmJIncb7N/563H36e2opa9xgxnzzG75iALgD009kZgDEE74au3v+XmsX8nFo0Tj8bx5XvpM7A3939+G3mF/uYvkAM09hu6egzQcP/Ai/Schrhyky7cYD+JsjMg8gVQ123aBb4jcZRMyJWsZnlz0nQevfQpoqEoiYTiy/eyzR5bcsdbuUktn23M0lA7Jh6Pc9dpDxAORIhHreRaodowy39bwWsPvJVjdU0Qeg9IlwxMIWySgXUVVGMQ+ZL6RgAgBuH/5kJSi6ipqOWRi/9FOBBZ5+4dqg3z8xfz+OTlL3Oszl6MIWgH/P7DYqKhaEp7JBTlwxc+z4GiluIgbd1kADrf05RhQ2i/U8zsD39MGxcQqg3z0Uvt+b7LPO33f6kL4cv3kkgTiQzgL2jHmQ19h5L+T0jAd0iTXTX6M4mKy0msHkuiegIaX5kViYbWo6po8C0SZaeTWHMyGngJ1dQHlbWIuMC7L6nG3w2+kVnV2hbqxvnURUTIK0xfc7izYgxBO6D/Fhux0WZ9EEf9p2tfvpfR5x+WI1XNI65NoPAKwFv/U3gN4my8/LSGP0bXnAChNyA2G2qfRlcficYW26Tc0BRadQ1aeTVEPofoTLTqVrT8LFTTP6wASNEt4NzI2iTGZX11DUQKr7BPeCvZYf9tcblT31w9fg8jzz44B4pyh9ksbics+20Flx14IzUVtaBWgrpDTtufix4+u93772t8WXK/wHoTaMrLSFXR0v0hsbzBEQf4RuIouSebUg3NoNFf0TXHkhL1K3lIyX2Id7/G+2oUwh9adYVdW4Jn73ZfDnXuzPlcfditxOMJVJV4NM4p14/lxKuOzrW0rJAVryER6Q68AAwEfgeOV9XyBuccANxbp2lrYJyqvpasX7wf6wvZn66q3zU3bmc0BGBtGs/+8CfKV1QwZM8t2WhQn1xLyjgaX20ZAtL4mEt3HH2a36RTVSs3jeQhYvYimkMTtSBuRJp3RdbaZ9Hqu0j1BAPyTsNR1PnSl0cjUb6Z/j21VUF2OnAo3fqU5FpS1mjMELQ1xcRVwPuqeqeIXJX8+cq6J6jqB8COSRHdgflAJQTyYgAAFWxJREFUXVeCy1V1Sht1dAqcTic7H5S2mFuzBGuCBGtCdOtT0r7fIKSJtVdHUbPdE4HXoeYuq8KaeNC805GCC9v9k2cu0OgctPIaiM0HHKj3IKT4VqSpf2dHCYgrTUoRDzh6ZFNuRtiQ+8DtcbPbEbtkWVn7pq13z2jg6eT3TwNjmjn/OOBt1YalhgwbSm1lLTcd93eO7flnTtnsfE4eeC6z/js717IaRRx54D0QaPh06oe8M5rsq6EPoOr/ILEaiFmBS7X/Qmv+kS25HRaNL0fL/gSxuVguvlEIv4+W/bnpjr6DSD8tOBB/c7d37qitCnDz8XfXuw9mvvNtrmV1GNpqCPqo6trF3hVAc2sZ44DJDdpuE5HvReReEUm/jQ+IyHgRmSUis0pLS9sguXNxw5gJzJj2NdFIjGgoSuniNdx4zAQW/rDo/9s78/ioqrOPf5/ZJwskgYggCkHcaNkChda2igoiUEEQEQotLqBoW94qyvKxvqViFawVl9oKYtVqX3GlYHnVgkK1VVCqyCphUQQCBNkMkGUyc/rHvcE7zJ7MZJLM+X4++eTOueec+5vn3rnnnuU+T7qlRURa3geu7wBukFzjf9YoJGt01HLq2KOEeqysgBPPRndnUFs+cIjAsfkEjk4ncPwlVKBpPI8o3zoCR2cRODoz7mBB6sT/QYg7Zx/4t6J8GyOWE/EiBc+A7TSj9ybZIC2Q/D9EnftJNzNH/I5Vrwf/Dn4z8vd8vn5nuqU1CWIODYnIciDcFRA0WKiUUiIS8QoVkbYYQezfsiTPwGhAXMB8jGGle8KVV0rNN/PQu3fvpjfDnQJ2l5Ty2YfbQiIm+apqeHXu37njqVvTpCw6YstBCp5G1XwJ/lJwnhvRDUEQ/t3h01UAAuVgjzx0oXybUYfGmjfHSuBN1PHHodVrSJRyQXXU7ADfZ+A4ExzfTmgITgWOQPVqEC+4vhvXeD1AoPxROL4AY05FoSoWgXc40nJm9II12wg7D4MN/LuixqwWZ1cofBdqNoDygbMbIo3Xa27p9n1s+qAEX1XwEldfZTUv//51pj7z8zQpazrEbAiUUhHXUYnIfhFpq5Taa97oowXkHQUsUpYFyZbeRJWIPA3oCCgJUPblVzhcDqoqgn/wAX+A3SWlaVIVP+I4CxJxQ+E4D3wfhqnIY4xtR0EdnW5MMJ/kBASqUcd+b/RQopVVPkvkNofR8DjOhoKnEVvLmLIDx5+H8jlGWeOLQP4CxBU9SJGq2QnHnyR44rYCKhahskYgzm6RCzt7QtW/CelBqRoz/m90RGwQrf5GxP6dB3C6HFSf+jsIKHaXnLo6TROO+g4NLQHGm9vjgcVR8o7hlGEhs/FAjEerq4AN9dSTURR1PYvqMG8kO90Oul3UJQ2KUovk3kFwAHMAL+T8MurqIRUoh5qtYfbUmMteo6OOz4Oq94Aq049+BdRsQR2NvYJG+TZC+QPflFXHjUhchyfEHs6q+mekHajK6LGvJWuU0fsI+ol7wH0R4iiKqbspUdT1LKqrwvwOXA66XXxBGhQ1PerbEMwGBojIVqC/+RkR6S0iC2oziUhH4Ezg1Cv7ryKyHlgPtAburaeejCK/TR6DJlyKO+ubqRWb3YYn28PwyY33jc66Iq4exvi1s9gYu7Z3Qlr+Flv22BgFo3R84xmiObGQ0LkJH1StQMUI2KNOvEz4IRq/+cQeBXERaeIWif7GudjykNaLDHfPkmO4F8+eiOQ1v4n1vMKWDJnYP/h3YBM8OR6GTx6SRmVNh3otH1VKHQQuC5O+Bphg+fwFEPKqqVLq0vocXwM/e+QGOn7rTF57eCnHjhyneEB3brh3TLNdCy2uYqTVwsTKiBflutB4UzYo6I4bvCNjVxAxcpsyxtAjr3EAVU6oM7bassejH9dzOXwdbtjKjsThukHs7ZC8uTHzNQduffh6OnRpz6sPL+XY4WMUD+jO9bNG06ptfrqlNQn0m8UZTtmur3jhvtdYu2IDrdu3YvS0q+g1IPrYdVNE+b8yJosDZcYYP4CrGMmfF3PiNnBkClQuJeSG7jgPW+vXox+38i3U0WnGUtcg3EjhypgT1YGKZXB0CogdlAL80GImtqyro5ZrihwuO8qLD/yN1Us/pmXrFoy8/Uf8YHjfdMtqVuh4BJoQyr48wM0976SivBJ/jeFO2p3l4pa51zFkYnSncU0RpQLGyh3/bnB2QaKsnAkq599nxF1QJzCGiFwgDqTgL9EnbDGCr6jDE8D3iVneZpTP+R9sOTfGd/xAuTlfUAPuixFb83vK/fpgORO7TeHrg+XUVBu9Nk+2m1FTh/GTu5t2YPjGhG4INCE8dNMT/OOZFfhrgp90s3K9vFz2FC53410y2NCowFFjvN/3CTg6I1lj4l5Xb0TiWoaqeANsOYh3VMwVQ5nGszNf5KU5i0MmfV0eJy+WPklOXnaalDUvUuViQtOE+XTFhpBGAAxfPnu376NDlzPToKpxIraWSM6E2BnDlRU7eK5API3Xk2y6+XjZurArfxwuJ9vXfkH3fvH13jR1QztoyWAK2oUfYqjx+WlZGNvvj0aTLArPbBX2BT2/r4b805vnwofGhG4IMpjRU68KWnIHxjsIvS7vTl5h7BelNJpkcfVtV+LyBg9F2h12irqexVnnR45toUkOuiHIYPoO6cWE2WPx5njIyvXidDvpNaA7M56fnFA9G9/fwl1D7mP8OT/nvh8/zM5NOsBMpuGr9vHaI0u5qfsUJnS9nZceXEx1ZWz/T7Vc0Pccbps/iey8LLy5HlweJ9+68DxmvT49hao1tejJYg3VldXsLtlLfpuWCb9/sOrv/+Heax866ebCZhNcXjdz37uHzj2a1xusmvAopZg+8F42vv8ZVSeM68DtddG5uIiH/nkPNlv8z5s1vhp2fbaH3IIcWp/R+N1eNzUiTRbrHoEGl8dFp24dEm4ElFI89osFQb6OAgFF5fFKnpz6XLJlahopG/71GZs+2HKyEQCoqqhm+6c7+Xj5+oTqcjgdFHXtoBuBBkY3BJo6c6K8goOlh8Pu27wqnG8fTXPE8Px5qstrqDxWycZ/f5YGRZpE0Q2Bps54stxhg38D5J1Wt1VHu0tK2bx6a9ilhJrUUbp9H5tWlVB5IrrvpHAUtM3D6Ql958ST5aZVuzjci2vSjn6PQFNn7A47g268jDcWvB00POTJcnPttMSiWZXt+oq7h85mT8le7E47SikmPz6B/uMiB0vX1J/D+4/wv8Pm8Pn6L7E77QT8AW763U+4ctLAuOv4wYi+/PGXT4ek2xw2+l17YTLlalKE7hFo6sVNv/sJ/cZ8H6fbiTfXi9vr4uopP2LwhIhhLEIwJhtn8cWGXVRVVHPi6woqyit5eNJ8tqzZnkL1mruHzmbrx5+ftHvl8Srm3fEcn66MHMXsVLzZHh5a+Rvan9sWt9eFO8vF6UWn8cDyX+s3gpsIetWQJimUHz7GwdLDtOlYiDc7uovkUyn5z3am9Ps1lceDhyXEJlw27iKm1SHClN/v58Cug+TmZ5PdsnnejGq/Y05edp1uuLtLSpnU886QwEYA37uyN/csnpZQfUop9u7YTyCgOKPz6QlFcNM0DNrFhCal5ObnkJufU6eyR8q+xu4I7ZyqgOLgnkMJ1/fOC+/x+OSnqaqoJuD3c+Gw7zDlqVsTbqAaM++9uopHbn2SyuOVBPwB+gwq5s5nfkZ2i6y46zhy4GvsTgeEaQgO7k3c7iJCu7Mbb1xjTWR0Q6BJO+f36Rx21Ynb66Lv4J4J1bX+vc08NPGJoKWM7y9eg6/qUX6zaGrC2nzVPt57dTXr/rmJNh1aM/D6Syg4vW7eP/1+P6uXfsxHb64l77QWXD6+H22L2iRcz+bVW5kz/rGg7/jhG59w76iHuP/NX8Vdz9ndO5z0OmvF6XbSZ3Bxwro0TZd6zRGIyDUislFEAiIS0t2w5LtCRLaIyDYRmW5JLxKR1Wb6ixJvRG9Ns6JFq1zGzBiOJ/sbdxcuj5NW7fIZlMBcA8ALsxcF3SABfFU+PnpzLYf2hV/qGokT5RXc0msac2+ex9L5y3h+1itcd+5kNr6/JaF6wHhRatqAWdw/7lH+/sQ/WDh7ERO/fTvvL/4o4bpefnBJSHxeX5WPde9uouzLA3HX483xcsN9Y4LcjDjdDloW5jbLCHeayNR3sngDMAJ4N1IGMYLJPg4MAroAY0SkNqDuHGCuUqozcBiIz0G7ptkx7u5r+NXC2+g1oBudexYx9ldX88c1c8jK9SZUz/4vysKmO90ODu09klBdLz24hNJt+6g8ZkQoq670UXGskvvHPkKic2vLn3uXLR9tO1lXTbWfqopq5vz0sYSXypZu30e4wztcTr5KcChtxOQh3PO3qXxnUA/O7tGRUXcOY94nD9KiIDehejRNm/qGqtwMxJoU6gNsU0rtMPMuBIaJyGbgUuDHZr5ngZnAn+qjSdN06TukF32H9KpXHV1/2IU9W/eFDHn4awKccW7bhOpa8cK/8IW5SR85cJS9O/YnNB6+/K/vhkyGAyCweVUJ3S+O381yj0u+xc5Nu6ipDv6ONdU+OnRpH3c9tRT370Zx/+gBdjTNm4ZYPnoGYPVCtttMawUcUUrVnJIeFhG5SUTWiMiaAwfi7/5qMosxM4bjyXFjs33zcOLOdjP2rhEJTxZHCswTCCicCQbtcXvDj3oqlXhdI6cMxZvjxWb/5ufryXZzzZ1Dm+0KKU1qidkQiMhyEdkQ5m9YQwisRSk1XynVWynVu7CwsCEPrWlCtOlQyJ/WPEC/MT+gVbsCOhcXcedTtzJmxoiE6xpy8wDcWcE3cLEJHS5oT2H7xHzhDJk4IGgOpBZvjofz+3ROqK7W7Qr4038e4LKxP6RVuwLO7tGR2+bdzPiZ1yZUj0ZTS8yhIaVUYrN1oewBrKGu2ptpB4E8EXGYvYLadI2mXrTt1IYZzyXmSjscV066nLUrNrDmrbUA2O12vLke7n7p9oTr+t7Q3gy87hLeeOptxGbDZrdht9uYtWR6Qt45a2nToZCpdXi/QqMJR1JeKBORlcAdSqmQt7xExAGUAJdh3Og/An6slNooIi8DryqlForIE8A6pdQfYx1Pv1CmaUh2rNvJ5lUltD6jgN4De2B3hPevFA+7t+5l3cqN5Bbk0HdIMS6PXiinaThSErxeRIYDjwGFwBFgrVJqoIi0AxYopQab+QYDDwN24M9Kqd+a6Z2AhUAB8AkwTikV0+uVbgg0Go0mcVLSEKQL3RBoNBpN4ujANBqNRqMJi24INBqNJsPRDYFGo9FkOLoh0Gg0mgynSU4Wi8gBYGcdi7cGvkqinGShdSWG1pUYWldiNFddHZRSIW/kNsmGoD6IyJpws+bpRutKDK0rMbSuxMg0XXpoSKPRaDIc3RBoNBpNhpOJDcH8dAuIgNaVGFpXYmhdiZFRujJujkCj0Wg0wWRij0Cj0Wg0FnRDoNFoNBlOs2wIROQaEdkoIgERibjUSkSuEJEtIrJNRKZb0otEZLWZ/qKIJMVXsIgUiMgyEdlq/s8Pk+cSEVlr+asUkavMfc+IyOeWfT0aSpeZz2859hJLejrt1UNEPjDP9zoRudayL6n2inS9WPa7ze+/zbRHR8u+GWb6FhEZWB8dddB1u4hsMu3ztoh0sOwLe04bSNd1InLAcvwJln3jzfO+VUTGN7CuuRZNJSJyxLIvJfYSkT+LSJmIbIiwX0TkUVPzOhEptuyrv62UUs3uD7gAOA9YCfSOkMcObAc6AS7gU6CLue8lYLS5/QRwS5J0PQBMN7enA3Ni5C8ADgFZ5udngJEpsFdcuoBjEdLTZi/gXOAcc7sdsBfIS7a9ol0vljy3Ak+Y26OBF83tLmZ+N1Bk1mNvQF2XWK6hW2p1RTunDaTrOuAPYcoWADvM//nmdn5D6Tol/y8wXOen2l4XAcXAhgj7BwNvAAJ8F1idTFs1yx6BUmqzUmpLjGx9gG1KqR1KqWqMuAjDRESAS4FXzHzPAlclSdows7546x0JvKGUOpGk40ciUV0nSbe9lFIlSqmt5nYpUIYRHyPZhL1eouh9BbjMtM8wYKFSqkop9TmwzayvQXQppVZYrqFVGNEAU0089orEQGCZUuqQUuowsAy4Ik26xgAvJOnYEVFKvYvx0BeJYcBflMEqjOiObUmSrZplQxAnZwC7LJ93m2mtgCPKCJ9pTU8GbZRSe83tfUCbGPlHE3oR/tbsGs4VkdAguKnV5RGRNSKyqna4ikZkLxHpg/GUt92SnCx7RbpewuYx7XEUwz7xlE2lLis3YjxZ1hLunDakrqvN8/OKiNSGtG0U9jKH0IqAdyzJqbJXLCLpToqtYsYsbqyIyHLg9DC77lJKLW5oPbVE02X9oJRSIhJx7a7Z2ncF3rIkz8C4Ibow1hNPA+5pQF0dlFJ7xIgs946IrMe42dWZJNvrOWC8UipgJtfZXs0RERkH9AYutiSHnFOl1PbwNSSd14EXlFJVInIzRm/q0gY6djyMBl5RSvktaem0V8posg2BUqp/PavYA5xp+dzeTDuI0e1ymE91ten11iUi+0WkrVJqr3njKotS1ShgkVLKZ6m79um4SkSeBu5oSF1KqT3m/x1ixKnuCbxKmu0lIi2ApRgPAassddfZXmGIdL2Ey7NbjFjdLTGup3jKplIXItIfo3G9WFnCwUY4p8m4scXUpZQ6aPm4AGNOqLZsv1PKrkyCprh0WRgN/MyakEJ7xSKS7qTYKpOHhj4CzhFjxYsL46QvUcYMzAqM8XmA8UCyehhLzPriqTdkbNK8GdaOy18FhF1hkApdIpJfO7QiIq2B7wOb0m0v89wtwhg/feWUfcm0V9jrJYrekcA7pn2WAKPFWFVUBJwDfFgPLQnpEpGewDxgqFKqzJIe9pw2oK62lo9Dgc3m9lvA5aa+fOBygnvGKdVlajsfY/L1A0taKu0ViyXAT83VQ98FjpoPOsmxVSpmwNP9BwzHGCurAvYDb5np7YD/t+QbDJRgtOh3WdI7YfxQtwEvA+4k6WoFvA1sBZYDBWZ6b2CBJV9HjJbedkr5d4D1GDe054GchtIFXGge+1Pz/42NwV7AOMAHrLX89UiFvcJdLxhDTUPNbY/5/beZ9uhkKXuXWW4LMCjJ13ssXcvN30GtfZbEOqcNpOt+YKN5/BXA+ZayN5h23AZc35C6zM8zgdmnlEuZvTAe+vaa1/JujLmcScAkc78Aj5ua12NZDZkMW2kXExqNRpPhZPLQkEaj0WjQDYFGo9FkPLoh0Gg0mgxHNwQajUaT4eiGQKPRaDIc3RBoNBpNhqMbAo1Go8lw/gsqWLRaGoyVtAAAAABJRU5ErkJggg==\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "log = LogisticRegression().fit(X, y)\n", + "plot_decision_regions(X, y, clf = log)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 372 + }, + "id": "Olh6OaDPW9Mh", + "outputId": "b503bb90-5686-4f8d-ccfc-82cadcf8baae" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:242: UserWarning: No contour levels were found within the data range.\n", + " antialiased=True)\n", + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 5 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "svc = SVC().fit(X, y)\n", + "plot_decision_regions(X, y, clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 337 + }, + "id": "--5elonaX62y", + "outputId": "5e649546-9562-47b8-8686-6cb6d707c4dd" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 6 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "x1 = np.arange(10)\n", + "x2 = np.arange(10)-2\n", + "X = np.dstack([x1, x2])[0]\n", + "\n", + "y = np.ones(10).astype('int8')\n", + "y[:5]=0\n", + "\n", + "plt.scatter(X[:, 0], X[:, 1], c=y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "w2yOb5ymYPGn", + "outputId": "47c9c94e-805c-49ee-d570-6b5d3d0714f9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "log = LogisticRegression().fit(X, y)\n", + "plot_decision_regions(X, y, clf = log)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 341 + }, + "id": "LcCSWFtrYPDr", + "outputId": "e6af3074-3b22-4b0a-8ee4-2e157d950164" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "svc = SVC().fit(X, y)\n", + "plot_decision_regions(X, y, clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 341 + }, + "id": "0sV0S-6qZEVW", + "outputId": "85010e2b-15c5-4d5e-e9e1-62a47d5d87a2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 9 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Primal" + ], + "metadata": { + "id": "_97j99DWyGYf" + } + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import LinearSVC" + ], + "metadata": { + "id": "i8dUVoqpyFPS" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "x1 = np.arange(50)\n", + "x2 = np.random.rand(50)*50\n", + "X = np.dstack([x1, x2])[0]\n", + "\n", + "plt.scatter(x1, x2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "us4XI7TpyFL5", + "outputId": "571a9065-1e89-4514-e2de-18d596248d79" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 11 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "y = np.where(x1+x2 <= 45, 0, 1)\n", + "\n", + "plt.scatter(x1, x2, c = y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "kZk3j3z1yFI6", + "outputId": "b93969b7-239f-43c0-cd58-d7087e795a37" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 12 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "model = LinearSVC().fit(X, y)\n", + "\n", + "plot_decision_regions(X, y, clf = model)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 373 + }, + "id": "nVtAYXsayU69", + "outputId": "9565c87d-d061-4bd7-f5db-2a0d0e3bff83" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/sklearn/svm/_base.py:1208: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n", + " ConvergenceWarning,\n", + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "def plot_svc_decision_function(model, ax=None, plot_support=True):\n", + " \"\"\"Plot the decision function for a two-dimensional SVC\"\"\"\n", + " if ax is None:\n", + " ax = plt.gca()\n", + " xlim = ax.get_xlim()\n", + " ylim = ax.get_ylim()\n", + " # create grid to evaluate model\n", + " x = np.linspace(xlim[0], xlim[1], 30)\n", + " y = np.linspace(ylim[0], ylim[1], 30)\n", + " Y, X = np.meshgrid(y, x)\n", + " xy = np.vstack([X.ravel(), Y.ravel()]).T\n", + " P = model.decision_function(xy).reshape(X.shape)\n", + " # plot decision boundary and margins\n", + " ax.contour(X, Y, P, colors='k',\n", + " levels=[-1, 0, 1], alpha=0.5,\n", + " linestyles=['--', '-', '--'])\n", + " # plot support vectors\n", + " # if plot_support:\n", + " # ax.scatter(model.support_vectors_[:, 0],\n", + " # model.support_vectors_[:, 1],\n", + " # s=300, linewidth=1, facecolors='none');\n", + " ax.set_xlim(xlim)\n", + " ax.set_ylim(ylim)" + ], + "metadata": { + "id": "sIR-MqlGyiXe" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "model = LinearSVC(C=20).fit(X, y)\n", + "plt.scatter(x1, x2, c = y)\n", + "\n", + "plot_svc_decision_function(model)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 300 + }, + "id": "ZHnsk7cNysk4", + "outputId": "ce76207c-272a-4d98-cdce-c71e9062a49e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/sklearn/svm/_base.py:1208: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n", + " ConvergenceWarning,\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import LinearSVR\n", + "\n", + "from sklearn.datasets import make_regression" + ], + "metadata": { + "id": "1kFEW_y6y8v0" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "X, y = make_regression(n_features=1, noise=10)\n", + "\n", + "plt.scatter(X[:, 0], y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "lad8MyGxzp9K", + "outputId": "3b5bb0d2-6f61-4b2d-8219-4775160b0d86" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 17 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "model = LinearSVR().fit(X, y)\n", + "plt.scatter(X[:, 0], y, color='r')\n", + "\n", + "plt.scatter(X[:, 0], model.predict(X), color='b')\n", + "\n", + "# plot_svc_decision_function(model)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "b9XmxvY-zyit", + "outputId": "51eca654-86a2-48bb-bbd9-8cd581a37ef9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 18 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Dual Form" + ], + "metadata": { + "id": "JlPzJWSnIMuT" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd" + ], + "metadata": { + "id": "gkJz7WAAI9RM" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.datasets import make_circles\n", + "\n", + "X, y = make_circles(noise=0.03)\n", + "plt.scatter(X[:,0], X[:,1], c=y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "ZzYhp2ScINwG", + "outputId": "1902be72-7e90-4c4a-e528-f0eb526d1975" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 20 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "df = pd.DataFrame(X, columns = ['x1', 'x2'])\n", + "df['y'] = y\n", + "df" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 424 + }, + "id": "HtDg4NghI2Kr", + "outputId": "f16c1924-a226-4144-f236-640b09d1d33a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " x1 x2 y\n", + "0 -1.005918 0.001269 0\n", + "1 0.667557 0.368719 1\n", + "2 0.115507 -0.765312 1\n", + "3 0.304051 -0.697807 1\n", + "4 0.194278 0.981962 0\n", + ".. ... ... ..\n", + "95 0.917453 0.364340 0\n", + "96 -0.297392 -0.951810 0\n", + "97 0.816056 0.080255 1\n", + "98 0.967202 -0.136791 0\n", + "99 -0.244741 0.725793 1\n", + "\n", + "[100 rows x 3 columns]" + ], + "text/html": [ + "\n", + "
\n", + "
\n", + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
x1x2y
0-1.0059180.0012690
10.6675570.3687191
20.115507-0.7653121
30.304051-0.6978071
40.1942780.9819620
............
950.9174530.3643400
96-0.297392-0.9518100
970.8160560.0802551
980.967202-0.1367910
99-0.2447410.7257931
\n", + "

100 rows × 3 columns

\n", + "
\n", + " \n", + " \n", + " \n", + "\n", + " \n", + "
\n", + "
\n", + " " + ] + }, + "metadata": {}, + "execution_count": 21 + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import LinearSVC\n", + "\n", + "X = df.drop(columns=['y'])\n", + "y = df['y']\n", + "\n", + "svc = LinearSVC().fit(X, y)" + ], + "metadata": { + "id": "Xz6YgNNDISIi" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plot_decision_regions(np.array(X), np.array(y), clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 375 + }, + "id": "GI2moRjtJO2t", + "outputId": "a7b327a8-0b0a-4070-9b07-001e95f9694a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/sklearn/base.py:451: UserWarning: X does not have valid feature names, but LinearSVC was fitted with feature names\n", + " \"X does not have valid feature names, but\"\n", + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 23 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "df2 = df*df\n", + "X = df2.drop(columns=['y'])\n", + "y = df2['y']\n", + "\n", + "plt.scatter(df2['x1'], df2['x2'], c=y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "lmyOkUHoJcNe", + "outputId": "6f7409ed-fc75-438f-a72d-c544a9c43b70" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 24 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD4CAYAAAD8Zh1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3dd3hUVfrA8e97p08aCSGIdBULgopiX3tZsMC6Vlzb2vvay65dLLt217KWta6u3RUr/iyIBRVQAUFBQEF6SUibPvf8/piASWZSSGYymeT9PE+eJ7n3zrnvheSdO+eec14xxqCUUir3WdkOQCmlVHpoQldKqS5CE7pSSnURmtCVUqqL0ISulFJdhDNbJy4tLTWDBg3K1umVUionTZ8+fY0xpleqfVlL6IMGDWLatGnZOr1SSuUkEVnU1D7tclFKqS5CE7pSSnURmtCVUqqL0ISulFJdRJdL6FVrq5k5eQ4rflmV7VCUUqpDZW2US7oZY3jksmd48+GJuDwuouEo2+0zlGtfuhR/gS/b4SmlVMZ1mTv0tx/7gLcf+T8ioSi1lQEioSgzJs3hnrMeyXZoSinVIXLyDj0SijBt4gxqqwKM2H8YpX178urdbxIKhBscFw1H+fz1rwjWhvDlebMUrVJKdYycS+g/fv0TV4+6BTtuYxtDPBbnuCv/QHVFbcrj7bhNsDqoCV0p1eXlVJdLLBrjb4feRs26WgLVQUI1IaKhKC/fOYHBw/ojIkmvicdtprypM1KVUl1fTiX0mZN/IBaNJW0PB8L4CnwYUlRfMvDc+Nc6IDqllMqunErokWAk5XZjEqNcUuVzgPIVFRmMSimlOoecSujD996GeDSetN2b52G/437HJoPLUr5uwNZ9Mx2aUkplXYsJXUSeEJFVIvJ9E/tFRO4XkfkiMlNEdkx/mAl5hX4uePB0PD43lpXoL7ccQtnAXuz5h505686TcHtdDV7jcDk44x8nZCokpZTqNFpzh/4UMKqZ/aOBIXVfZwIPtz+spv3+lP04+JR9EUcidDtuWLVoNVePvpXNthuIWA0fjFqW8PnrX2cyJKWU6hRaTOjGmMlAeTOHjAWeMQlfAj1EpE+6AmxszdK1vPfExw26XkK1YX6avpAHLvh3UpdMNBzj/ac/oWLlukyFpJRSnUI6+tD7Ar/W+3lJ3bYkInKmiEwTkWmrV69u08lmTJqD0+VI2h6qDTF36nxiKfrY3V4Xi39c2qbzKaVUrujQh6LGmEeNMSONMSN79UpZQalF+T38Sd0qAJbDokdZEZYj+ZKi4Sh9mnhgunzhSu4642FOHXoR1xx+G99//mOb4lJKqWxLR0JfCvSv93O/um0ZseNB2+F0JU9wdbmdnHbbn3B7Gj4UdXtd7HTw9pQNSH4D+XXuUs7e8XLef2oSv/64lK/e/oarfn8zn776ZabCV0qpjElHQp8AnFQ32mU3oNIYszwN7abkcru4feI19CgrxF/gw1/ow+N3c+HDZ7DHmJ255Z2/0n/rvlgOC4fTomxgL/YYuwuRcDSprSev+S/BmhB23N6wLRyI8M8L/o1t20nHK6VUZ9aaYYv/BaYAW4nIEhE5TUTOFpGz6w55B1gIzAceA87NWLTA5//7mpuPvZt1q6qwnBYHHL8XLy1/jINP2heA7fYeysWPnIXL40QsiyVzl/HgX57g3J2uIFAdbNDWzMk/YOzk2Ui162qpWFmZyctQSqm0a3FxLmPMuBb2G+C8tEXUjK/f/Zbb/nQf4boZozUVtbz/zCdssllvjrlszPp4EscEfptVGqoJsWzBSl66cwKn3Hjshu09ygqpXF2VdB5jIK/In+GrUUqp9MqpmaJP/O35Dcl8vXAgzPO3vko8nhjdsmzBCqrKa5JeGw1HmfTC5w22HXv5H/DmeRpsc3td7HPsHnj9DbcrpVRnl1MJffnClSm3hwMRAlWJ7hS3141pov+78SzSA0/cm2OuGIvH58Zf6MPlcbHbYTtx0cNnpDdwpZTqADm1Hnq/IX2YN31h0nav34O/MFFmrle/ngzYph8LZvzSoH/c4/dw+NkHN3idiHDitUdz1MWHsfSnFfTsW0JxWVFmL0IppTIkp+7QT731eDw+d4NtXr+HE284Gofjt8lG1718KT03LcZX4MPj9+D2udntsJ045MwDU7bry/exxYjBmsyVUjlNEs80O97IkSPNtGkbX3jiq7en8+gVz7Jk3nJK+vTghGuP4pDTD0wqbhGPxZn+fzNZu6ycbXbbkkHb9m+iRaWUyh0iMt0YMzLlvlxL6PXFY3Feu+9t3nz4fcKBMLuP2ZmTbzyG4t490hRl5hhjmDl5Dl++NR1fnpcDTtiLvltkbAkcpVQX0WUT+s3H3s1Xb0/fMETR4XJQXFbEv+fci7/Al44wM8IYw+0n3s8Xb0wlHAhjOR04nA4ufOh0fn/yftkOTynViTWX0HPqoWh9S+Yt48u3pjeoYhSPxqmuqGHiUx9zxAWHZDG6ZMt/Xslz419l5idz8PjdLP1pBdG62avxaJx4NM795z7OnmN3Ib9HXpajVUrlopxN6POmL8ThTF51MRyIMGvyD+1K6Kt+XcMnL35BoDrIzqNHsM2uQ1IWoG6t5T+v5Jwdr0haZqAxp9PB9P+byT5H797mcymluq+cTei9B/ZKTOlsxOl20m/LtvdFf/LyFP5xygMY2yYWifPyXW+yz9G7c9kT57Y5qT83/tUWkzkAklhkTCml2iKnhi3WN3T3LSkb2AtHo7XRnW4nhzUab95ageogd/z5ASLBCNFwDGMM4UCYya9MYep737U51hkfz245mQPGNux40HZtPo9SqnvL2YQuItzx4fWM2G8YTrcTl8dJ3yF9uP29ayjrX9qmNr/9cFbKbpxQbZgPn/u0zbGW9i1pcp/L68KX78Xj93DdK5fpkgNKqTbL6c/3xWVF3PbeNdRW1hIJRelRVtSuvu5UxTHWczjb/t539OWHM/uLuTQeUeQv9HHqrcfjz/exx9iR5BXpw1ClVNvldEJfL68oj7w0TPIcccDwlMvpevM8HHTSPm1uNxqO43A7iIVjDbbbcZv+W27KjgdqN4tSqv1ytsslE7x+D9e8eAkevweP34PL7cTtc3PI6Qeww37D2tzu/G8XJiVzgGgkxoLvfmlHxEop9ZsucYeeTruMHsHzix7ms9e+2jBsceA2/drVZt8t+uDN8xCqDTfY7va66LN573a1rZRS6+X0TNFcEawJcsJm51FdXrOhS8dyWPTctJhn5j+QskaqUkql0txMUe1y6QC+fB/3f3EL2+6+FY66af7b77st9342XpO5UiptNJt0kL5b9OGeT28mWBtCRHR4olIq7TShdzBfnjfbISiluijtclFKqS5C79BVShWrKvn6nW+wHBa7HrojhSUF2Q5JKdUCTejNWL1kLe89+RErf1nNDvsNY++jd8ftcbX8whz37r8/5IEL/o3lsBAR7jvb5rInz2XfY/bMdmhKqWbosMUmzJw8h78deivxWJxoOIY330vvAaXcP+XWTl08o72WL1zJ6cMvabDOPIDb5+Y/Cx/MiWpQSnVlOmxxIxljuO1P9xGqDROtm+EZqgmxbMFKXrpzQpajy6xJL32BHYsnbReBz177KgsRKaVaSxN6Ckvnr6C6ojZpezQc5ZMXv8hCRB0nGo6mXOrXjtsb3tyUUp2TJvQU3F4Xxk69frnb27X70PcYszOuFNcoIux2+E5ZiEgp1Vqa0FMo619K/236IlbDpXg9fk+bi2fUV7mmiqdveJEL9/gb48fdw49f/9TuNtNlixGDOfTMg/D4PYglWJbg8bs59so/sOnmm2Q7PKVUM/ShaBOWL1zJJfteR6AyiG3bGNuw+5iRXPWfC3E4kotgtFbFynWcNeJyaipqiYajiAhun4tLHjub/cftlcYraJ85U+Yy6aUvcDgs9hv3O7bcafNsh6SUovmHoq1K6CIyCrgPcACPG2Nub7R/APA00KPumKuMMe8012ZnT+gA8Vicbz6YydplFWyz2xAGDu3f7jYfvuQpJjz4HrFowweP+T3yeHnl47q2i1KqWc0l9Bazh4g4gAeBg4AlwFQRmWCMmVPvsGuAl4wxD4vIUOAdYFC7I88yh9PBzqNGpLXNr97+JimZQ+LNY8m85Qzatv1vGkqp7qk1fei7APONMQuNMRHgBWBso2MMUFj3fRGwLH0hdi1FpalnXMZicQpK8js4GqVUV9KahN4X+LXez0vqttV3A3CCiCwhcXd+QaqGRORMEZkmItNWr17dhnBz31GXHI43r+FKiw6Xg6G7bUnPPsVZikop1RWka5TLOOApY0w/4BDgWRFJatsY86gxZqQxZmSvXr3SdOrcsteRu3HM5WNxe13kFfnx+N1sueNmXPvSJdkOTSmV41rzBG4pUL9jt1/dtvpOA0YBGGOmiIgXKAVWpSPIzigeT/SDt2XEy4nXHc0RFx7Cgu9+oaRPD/pv1fgDj1JKbbzW3KFPBYaIyGARcQPHAY3nvy8GDgAQkW0AL9Al+1RWL1nL3w67lUO8x3Oo73iuG/t31i6v2Oh28nvksf2+22oyV0qlTYsJ3RgTA84HJgI/kBjNMltEbhKRMXWHXQqcISIzgP8Cp5hsDXDPoEgowgW7/5VpE2dgx23iMZuv3/2GC/f4K7GoTotXSmVXqwY9140pf6fRtuvqfT8H6PJrq3722lcEKgMN1jqJx2yqy2uYMmEaex25WxajU0p1dzr1fyMsmbecYE0oaXs4EGHJvOVZiEgppX6j0xI3wsBt++PL9yYldY/fzaBh3WNCULA2xFdvTSdQHWLHA4ezyaCybIeklKqjCX0j7DF2JP++uohIOEq8bran0+Wg56Yl7HJIemeUdkZTJ37HTUfdiYhg2za2bTj60sP5883jsh2aUgrtctkoLreL+6fcwn7H7Yk3z4M3z8MBJ+zNfZ+Pb9eCXZ1dJBTh9hPv56+jbyFUGyZYEyIciBANRXnt3reZ8cnsbIeolEJXW1StcOdpD/Hhc5OJRVJXMjrghL258umUk4OVUmmmJehUmwVrgnz8389SJnMAYyDcqP6oUio7NKGrZlWX1yBW078m3jwP+x33uw6MSCnVFE3oqlk9Ny3B5Un97NxyWIw4YDh7jE356U8p1cE0oatmOZwOzrzjRDx+T9L2vzx8Bje8dnmXfiCsVC7RYYuqRaNPPYDSTUt4/pbXWLl4NUN334qTbjiGAVvrOjRKdSY5l9BNbAlEPgPxg2d/xNKiEB1h51Ej0l69SSmVXjmV0O3q+6D2cUAAC+Q66PEQ4tkj26EppVTW5UwfuolMh9ongDAQAgJgAph152FM8voqSinV3eROQg++RiKRNyYQ/ryjw1FKqU4nZxI6JkyiFnXSDiDawcHkNtu2eeOh9zhlqws5epPT+ccpD7Dq1zXZDksp1U45k9DFeyiIL3mHiYFb+9A3xj/Pe5zHrvgPS39azrpVlXz43Kecu9MVrFtdme3QlFLtkDMJHc++4BxB4oHoegL5fwHJx4Texa44B7viAkz4E7pgwaS0WLOsnPefnkQ4EN6wzY7bBGtCTHhoYhYjU0q1V+6McrHLITaDht0uArVPY6LTITIFTAAAE54MviORoutSNtWdLZyxCJfHRSTUsJsqEooyY9JsuD5LgSml2i1n7tBN8PVE90oDNphKCH+2IZknBCH4MiY2vyNDzAm9B5amrH9qOSz6b7VpFiJSSqVLziR04otJDFlsLNrEdiD8RQYDyk0Dh/Znix0G43Q3/HDm8rg44i+HZikqpVQ65E5Ct0qa2Zmq58gBVkGmoslp49+6ml1Gj8DlduLyuigbWMpN/7uCgdv0y3ZoSql2yIk+dGNsCL6ceqfVF+xVQKNuBAE8B2U6tJyU3yOPG1+/gkB1kGBNiJJNeiAiLb9QKdWp5cYdemw+mNrU+ywvFN2VWNtF8uu+CpHix3Sdlxb4C3z07FOsyVypLiIn7tARZ6I0TkoeLN9BGO+XEJkKOMC9MyKujoxQKaWyLjcSumMwOHpDfBENhy36wHcsACJe8OzVYlOJ8ek2IrqGt1Kqa8mJLhcRQXo8CNIDJA9wA17w7IP4j9xwnDEGE/4Uu/Ja7KpbMdEf6+0LYldeh1m5HWblUOy1R2Oiczr+YhQAkVCEdasrdQKYUmmUEwkdQFxDkLLJkHcmWL2AOERnYgIvJRK5MZh1F2HWXQDBFyHwDGbtMdi1zwBgKs6D4OskhjgaiM7AlB+PiS/L5mV1O5FwlHvPeYQjSk7h+AHncFy/s/j01S+bfc2iOb8y45PZBKqDHRSlUrkpN7pc1ov9BDX/Aur+sO1lUH07xpQjruEQ+aTeBCMbCEH1HdiubSEyjaTx6iaKqX0WKbyy466hm7vnjH/x6atfbpipWr68gr+f/E96lBUxfK9tGhy7Zlk51xx2G0vmLcPpchKLxPjzLeM48qLDshG6Up1eztyhA5jq+0leQjcItY9igm83mi26nhNC7ycerCaJQuzHFNtVJlSVVzP5lSmEg5EG28OBCM/f+mrS8deNuZ2fZy0mHIhQWxkgHIzw5DUv8M0HMzsqZKVySqsSuoiMEpG5IjJfRK5q4phjRGSOiMwWkefTG2ad2A+kXkJX6ranuBwBHP3BpFpi1w2u7dIZoWrG2mUVOF2pPxQum7+iwc9L5i1j8Y9LseN2g+3hQJhX730rYzEqlctaTOiSGA7yIDAaGAqME5GhjY4ZAlwN7GmM2Ra4KAOxgnNQ6u0mXjfaxZ1qZ+LBqWcvwFtvu4B4EP+f0h6mSq3PZr2JN0rQAGIJ+SX5fPT8pwRrE5/AqtZW43CmHolUsVKX+VUqldbcoe8CzDfGLDTGRIAXgLGNjjkDeNAYUwFgjFmV3jATJP9CGiZlSNQWLYDoNMg7B3DXTTLKA/EjPR5GxIf0uBfyTgQpShzj3hPp+RLiKMtEqCoFr9/DuKuPwOP3NNhubMPPMxdz7zmPclzfM5nz5Tw2235Q0t05gMvrYvfDR3ZUyErlFGlp2JiIHAWMMsacXvfzicCuxpjz6x3zP2AesCfgAG4wxryXoq0zgTMBBgwYsNOiRYs2OmAT+ghTPR7iS2nY/eJMfDkGgnOLxJBG78GI5d/oc6jMMcbwwbOT+e/tr7NmyVrCwUhS4i4sLeClZY/x7r8/5F+XPk04kOhzd3td9Cgr4l/f3kFB8cbNAq6uqOGnb36muHcRg4cNSNv1KNXRRGS6MSblXU26Rrk4gSHAvkA/YLKIDDfGrKt/kDHmUeBRgJEjR7ZpALJ49wf3CMyqvYD6D9diia/43MQEpPh88I1uti1jQhCeDCYE7j0QR2lbQlIbQUQ46KR9OOikfbjuD39nyoRpScfEwjHmTJnHYWcdzMCh/Xn13rcoX17BboftxJhzR5HfI2+jzvncLa/y/C2v4nK7iMXi9BvSh1ve+Ss9+xSn67KU6hRak9CXAv3r/dyvblt9S4CvjDFR4GcRmUciwU9NS5SNRWeAuMFEmjggBLHFEHwT/EelPMJEpmIqzgJM3bICMUzBxVh5p2UkZJUsGm6iFqxANJJYbG34XtskDWfcGF++NZ0Xbn+dSCi6Yajkz98v5voj/sEDX97W5naV6oxa04c+FRgiIoNFxA0cB0xodMz/SNydIyKlwJbAwjTG2ZAUkxhn3pwgJjwp5R5jwolkbmrqFv0KABGovg8TnZXeWFWTDjxhH7x5nqTtxhiG7blVWs7x6r1vEaptOP/Ajtv8PGsxy39emZZzKNVZtJjQjTEx4HxgIvAD8JIxZraI3CQiY+oOmwisFZE5wMfA5caYtZkKGtd2dbNFmwvfAquJB57hz5p4TQQTSB4PrTJj32P3YPjeQ/HmJx50u9xOPD43Vz1zIW5vqhFLG69ydVXK7U6ng+rymrScQ6nOolV96MaYd4B3Gm27rt73Brik7ivjRASKn8RUnAnxJWyYzt+AG/GPS92ACaY4HhIl7ZpYprcVjDGJ2aviRyztn22Jw+lg/JtX8c0Hs5j67jcUlhZw0In7UDagV9rOsfvhI1kybxnRcHLZvUH6cFR1Mbk19b8ecfaD0rchNh8Tmws199UVuqgbu1w4HnENSf1izx6pJxqJH/E2/yC1KXboA1h3BZB4QzDObZGSx5FmKy0py7IYefD2jDx4+4y0f+Qlh/HBfyazblUlkVAUEcHtc3H+A6fh9ugSy6praXHYYqaMHDnSTJuWPMKhrYwxEJuXmP7v2pZEd3/T7NpnofoOEiNl7MTYdeewxBcxxDcKXDu1qviDHZkF5UeRdNcvmyBln2gBiSyrWVfLW/96n6/e+YZe/Us54sJD2GbXJt7slerkmhu22GUSeluY6BxM8LVEN4uxIfQOiaLTBvCCbyxW0U0ttmOvORpiM1LvLHkRyz0inWGrdrJtm0BVEF+BF4dD18VXuaUjxqHnJHENRVxDMfFlmNUH03BcexCCb2B8RyAtJeT4gqb3RaaCJvRO470nP+Lxq56jtjKAy+PkqEsO54Rrj8KycmqdOqVS6nYJ3RgbIl9gwp+AVYz4xiYmF6UcMRPChN5vOaFbZRBvYsSELv7VaXz66pc8cMEThAOJYYyxSIyX7piAiHDidUdnOTql2q9b3ZYYE8dUnIlZdz4EnoaaBzGrR2MiP4Gk+qdwgCSPk05S0MTgHumB5dmtXTGr9Hnmhpc2JPP1woEwr9z1JvF4PEtRKZU+3SqhE3on0QWyYd30KBCC8KuJFRuTOBDf4S02a3kPhrzzSIywkcSXVQY9X29zqCb8Ffba47BX7oq9dhwm8nWb21IJKxevSbk9Eo4Sqmm8zr5SuadbJXQTfIMN1Y4acCRK2+EF/CA+wAMFVyLOzVvVtlXwF6Tsa6T4SaTn/5Ben2I5+7YtzvCnmIozIPoNmAqITseUn44Jf9qm9lTC4GH9U27PK/LjK/B1cDRKpV+3Sug0OZTRIJ7dkLLPkKIbkYLroPT/EMem2JU3Y9f8CxNf0cRr6zVvFSCePRDXNu0aqmiqbiW5MlOobrtqq9NvPwGPv+HvgMfv4fTb/5SWh6IzJs3mb4fdxlk7XMajVzxLxcp1Lb9IqTTqVsMWTehjzLqLSLpLl2Kk7HOkrkydMRFM+SkQm1PXPeMGHEjxg4jndxmP016xFU1VZrI2mZvx83dlsz79gcev/g+/fP8rZf1LOemGY9jryPY/53j33x/y4F+e2LDUr8vtJK/IzyMz7qRkE501rNJHx6HXMcZgqm6G4MuJDeIEBCn+d4ORLHbtf6D6HyTdJUsPpOyLDYk/U+xVu4OdYikcqydW2ZSMnlttvEg4ytFlpxGobnij4HQ5OPzc33PuPX/OUmSqK9Jx6HVEBCm6DpN3IkS+SFQv8uyfXAQjNIHkLg9IFJWek/mhiHlnQfXdjWLwJbarTufXHxuvJp0Qi8aZNrGJCWdKZUC3SujriXMwOAc3c0RTa3wYMv1PZuwKCH1Mw0lOHsg/C/GfnNFzq7Yp6lVINJq8+BdAySY9Ojga1Z11r4eirSWN65au3+4HZ9uLLbSGqTgHolNpvN67eH6na8J0UqWblrDtHlvhdDVcRsDj93D0ZWOaeJVS6acJvRFj10Dkq9Q7HZtnNKma2M8QnUOinF59EUztkxk7r2q/a1+6hKF7bIXb68Jf6MPj9/Dn8cex6yE7Zjs01Y10yy6XZsWXgbhSl7ezl2X43Kvqzt24/95A7FeMXZtY4lfv1DudwpIC7vr4RlYuWk35inUMGtYfX14Tn/SUyhBN6I05NgWTqj9UwLl1Zs/t2rqJOqkWxOZgVo0EaxMovA7x7pfZWFSb9B7Yi94D01egQ6mNoV0ujYiVD/5xQOOZg14k/7wMn7sI8k6vm6m6YSuJ/vQYEAd7KWbdXzCRbzMai2paPB5n2YIVVK2tznYoSjWgd+gpSMFVGKsEap8AUwXOrZDCaxDX0MyfO/9CcA7BBJ6A+Fqwl5M8ySiEqXkIKXks4/Gohia/MoX7zn2MSDBCPBZnxAHDuerZCykozs92aEp1r4lFucZE52HKj01d59QxAKvXBx0fVBdgjGHikx/z6j1vUb2ull1Gj+Ck64+mtG/PZl83d+p8Lt33esLB37rFnG4nQ3ffkrs+vjHTYSsFND+xSLtcOjNHvyZWgbTANazDw+kqHrn0aR648Al+mf0ra5eW8/5TkzhnxytYt7qy2de9fPebREINa9HGIjF+/Ho+yxa0vNaPUpmmCb0TE8sPeaeS1J8vXiT//KzElOsqVlUy4eH3G6yLHo/Fqa0K8saD7zX72hULV5LqE63L7WTN0vK0x6rUxtKE3slJ/l+g4Cpw9E1MbHLvhpQ8hzi3yHZoOWnhjF9we5NnAkfDUb77eHazr91h/2G4PMmPnaLhKIOHD0hbjEq1lT4U7eREBMkbB3njsh1Kl9CrfymxSPKwVMth0Xfz3s2+9siLDuO9f39ETTxAPJboCvPmefjjxYfpQ1HVKegdejdkYvMxgecxoYkYE275BV3IgK37ssWIwTjdDe9lXB4nf7zosGZfW9y7B//69g5GnbofZQNL2WLHwVz86NmccuOxmQxZqVbTUS7diDE2pvJqCL2b2CAOwIWUPIO4MjxpqhOprqjh7yf9k28+mIllWeT3yOPix87WafoqJ+jyuSoh9BaE32PDsrx17+Wm4hzo9VG3WVKgoDif8W9eTXVFDYGqIL3690xLxSKlsk1/i7sRE3gBTIqaqqYCYt2vElJBcT69B/bSZK66DP1N7k5MtIkdAjS1TymVK1qV0EVklIjMFZH5InJVM8cdKSJGRFL276gs840BUq0A6AJn5pc1UEplVosJXUQcwIPAaGAoME5Ekv76RaQA+AvQxGLiKtvEfyy4hibGswOJ4tc+pMfdJP6blVK5rDUPRXcB5htjFgKIyAvAWGBOo+NuBv4OXJ7WCLsQYwcg9B7YS8E5DDx7d2giFXFDyXMQ/hgT/hwcZYjvCMSxSYfFoJTKnNYk9L7Ar/V+XgLsWv8AEdkR6G+MeVtEmkzoInImcCbAgAHda2adiS3ArB1Xt955IHGX7BgEJc8hVl6HxSHiAO+BiPfADjunUqpjtPuhqIhYwN3ApS0da4x51KggxEEAACAASURBVBgz0hgzslev7lUEwKy7DEwlEKjbEIDYfEztv9LTvjGY8FeYwIuYyHcp1xxRSnVtrblDXwr0r/dzv7pt6xUAw4BJdeOYNwEmiMgYY4zOHAKMXQGxeSSvax6B4BtQ0OJ74W9thT9PvAnEl4Frp0TRDasQU34ixJeAMYlBK86tofjJxAJfSqluoTUJfSowREQGk0jkxwHHr99pjKkEStf/LCKTgMs0maefHXgNqm4E6saSx5diwh+Aa0eI/cyGoYcGiM7G1NyFFF6b0ZiMiYKpBulB4sOaUipbWvwLNMbEgPOBicAPwEvGmNkicpOIjMl0gF2BWMV19Ugb/3N7wHdEq9owJgbVt7EhmQNgJ4pfRD4leRx53d1/hhhjY1ffjVk1ErNqb8yq3bEDL2fsfBvDmDgmMhUT/gyTaiKVUl1Uq6b+G2PeAd5ptO26Jo7dt/1hdT3S4y7M2uOAcGK2pvjAsRmSd1brGoivAFIVkG6urzxzk4VMzb1Q+zQb3mBMBKrGY6xCxPv7jJ23xbiiszDlZwBhQMDEMUXjsXyHp6X9bz6YyUMXP8niOUspLC3g2CvHctTFh7d72YTyFRW8/egH/DxrMVvtvDmjTz+AwpKCtMSsug9dnKsDGROC0P8l+rpd24F791Z3Uxi7BrNqN1IndT+JxFr//9IBnoOxiu9rf+CNYzFRzKqRqZcRcG6FVfpm2s/ZGsaEMav2TNSBbcCLlL6BOAe3q/3vP/+Rqw6+uUEJOo/fw5GXHMafbzquze3+PGsRF+11LbFIjEgoitvnxuv38MDXt9FncPNL+qruR0vQdRIiXsR3OJJ/DuLZc6P6nMXKB+/vAU+jHb7EQ1Up5LdZoD6wSpDCq9MVekOmuonSeCQe1mZLeDKQKq4YJvhKu5t/+voXGyRzgHAgzKt3v0UklOqNtnXuOetRAlXBDeXtIsEINRU1PHLpM+2KV3U/mtBziBTdAt4DADdIXmIse/7FiP8E8J9EIpk5gCh4fg9WhoaGSo/E+VNxZnEZXrsKsFPsiIG9rt3NL/5hacrtIlC+om3tx6Ixfvz6p6Tttm2Y9v53bWpTdV+6fG4OEfEiPe7F2OvAXgOO/oh4sAOvQOBxGvSZB1/FWAVIwcUZiMPCFFwGVeNp+JDWixRclvbztZpnN6hKkdDFj3j2b3fzA7bpS/nyiqTtxkDJJj3a1KZYgsPpSFlFye11t6lN1X3pHXoOEqsH4twCkbrul9qHU/RnByHwDKaprpF2svxHIz3uAOdWIAXg2hkpeRpxj8jI+VpDHH0Tn1SkflFtH7i2B8++7W7/5BuPxeNrmGTX96G3Nfk6HA72OXp3XI0qKLm9Lkad2v43IdW96EPRLsBesT0N75TXcyBl07vd5CIT/gwTeBFMAPEdDt5DEUkuDN0W33wwk4cveYpFc5ZQ2LOAY68Yy1GXtG+US21lLVePvoWfZy1GLAs7HmfY77bhpv9doXfpKklzD0U1oXcB9tpjIfpt8g6rD9JrUrepRJTr5k1fwJJ5yxk8fACDh23cWkeL5vzKQxc9xczJc/DmeTj0zIM4+cZjcLnT80amOg9N6F2ciXyLKT+ZDaXlAPBC0R1Yvo4bE25MEOxKsEoR6V6PZ0KBMJNe/IIfvpxLvy035fen7Edhz44ZR75m6VpO2/ZigtVB1v85e3xudh41gutfzeIzDZURWlO0ixP3COj5HKb6Poj9AI6BSP75iGePDjm/MVFM1XgIvgYIiAdTcBmW/9gOOX+2rVtdyfm7XE3lmipCtWE8PjfPjX+VeybfxODhAzN+/v898C7RUJT692bhYISv3/2G5QtX0mczHcveXehD0S5CXMOxSh7HKvscq+fzHZbMgbpk/jqJ2ZmhxKqSVbdgQh91WAzZ9MTf/svaZeWEasNAIpnWVga4488Pdsj5501dQDTFKBmXx8XiH5Z0SAyqc9CErtrFmGDdnXmo0Z4QpqZjElq2ff7618SiyaOJFs5aTG1lbcbPv9n2g3C6kj9sRyMx+m65acbPrzoPTeiqfex1JNbrTbUvi7NGO5DT3XTVKcuZ+YpUR1x4CC5P8rDH7fcZSr8hfTJ+ftV5aEJX7WP1Akk1tE4S47+7gVF/3h+3t+FoEofTYsR+w/DlpSrKnV69B/birkk3svWuQxAR3D43B5+ynz4Q7YZ0lItqNzvwIlTdym9j4QXEi5S8iLiyuBRAB4mEIvz10FuZ+/V8jDFYDovi3j24Z/JNlGxS3KGxxONxLMvSoapdmI5yURll+Y/FWD0Tfeb2CnBth+Rf3C2SOSSm6N/xwfXMnTqfBd/9Qu9BZex44HAsq+M/ADscHVd0XHU+mtBVWkg3LzwtImy9yxC23mVItkNR3Zj2oSulVBehCV0ppboI7XJRSm1gjGHZghUY29B3SB99uJpjNKGrrDJ2Td3a7psiKYc/qo6yYMYv3HT0XaxdVg4Ixb2LuPalS9hyp82zHZpqJU3oKiuMiWCqrofgmyBOQDD5f8HKOyXboXUb87/7mf/e9jqLZv/KZtsP5Ku3viFQ/dsyzCt+XsXlB9zI84seJq+oiQpVqlPRhK4yzpgwhCeBXQHuXRDnZpiqmyD4NhABU1ePs/oejGMTxDuq42KLzMAEXwZTg3hHg+dARLr+0L/vPv6eaw6/jUgoirENi39cirGT56TYcZtJL37BoWcelIUo1cbShK4yykTn1C3tG6srLG0wvsMhOAFoXFg5iKl5qMMSul37b6i+ry4OGxOeBK6doPjRLp/U/3n+44QDv/37p0rmAKHaMOXL21+PVXUMTegqY4yxMRVnJVZfrC/4FtDEDGV7VcbjAjDxtVB9L4kVItdvDEB0OoQ/Am/XvSONRqL8Ord16+x4871su+dWrW7btm2+eGMqk178Ao/PzejT9mfY77Zpa6hqI2lCV5kTmw2mOsWOEKl/9QRcHVSTNDIl0Xdvwg23mwAmNBHpwgnd4XTg8bk3LPfbFI/PzZARg9lh/2Gtate2ba4/4g6++2gWodowIvDJy1M45vIxnHT9MekIXbVAx6GrtDB2DXb1Hdir9sZetS929f2JESxN/Yo5+gP1F66yQHxI/iVNtF+OCf0fJvxlegpfSx6pV4m0EkWvuzDLsjj0rINSFrzebcxIBg8fwKBh/Tn5pmO5/f1rW72EwbSJM/ju4+83vFEYA+FAmBf+/j9WL1mb9utQyfQOXbWbMTFM+TiI/cyGfvHaxyDyWeqeFfGB/8+Is39i/Zf4UnBtjxRciDi3SDrcrnkcau6tW9XRJF5f/BTi2rLtQXv2JPWbjRvxH932dnPEabceT+Waaj556QtcbifRSIxDTj+As+8+uc1r0EyZMJVQTeN18cHhsJj+/gxGnbp/e8NWLdCErtov/DHEl9DwIWcYYvMg72yofQiIA1EQPzi3Rfx/RMSNePZstmkTmQo1/6TBaBhTi6k4FXpNRqRtyUfEDcWPYypOB2zAgIlBweWIa2ib2swlLreLK586n7PuOJGVi9aw6ea9KSjOb1ebeUV+HE6LeMxusN2yLHwFvna1rVpHE7pqNxOdCSZFZR4TQSwn9HoXE3gd7DWIZy/w7NvqUSQm8F+SqyGROF/0G3CnXEW0VcS9A5R9kehPN0Fw74ZYPdrcXi4xxvDu4x/y6j1vUVMZYOdRO3DyjcfSq1/PNrd50Mn78vo/3yUeazx6CXY9dMf2hKtaqVW3NyIySkTmish8Ebkqxf5LRGSOiMwUkQ9FJPOVcVWnIY6+QIo7MPGAtSni6ItVcD5W0Q2I94CNGxJoV9FEvw2YmjZGXK8VcSOefRDvqG6TzAEeuuhJHr74KRb/uJTy5RV88OwnnLPj5axbXdnyi5swcJt+nP/PU3H73PgLffgLfeT18DP+ravx+j1pjF41pcUCF5L465sHHAQsAaYC44wxc+odsx/wlTEmICLnAPsaY5ot+a4FLroOY9dgVu9bN6Jl/e+TBVYJ0mtSu6b0m8ArmOqbE3fQDXiQsi8Qq2s/wMyEipXr+NOgc4mGow22uzwujrliLKfc2OyfbotqK2v59qPvcXvd7LD/MNweV8svUq3WXIGL1tyh7wLMN8YsNMZEgBeAsfUPMMZ8bIwJ1P34JdCvPQGr3CJWPlLyX3BuBbgBF7iGISUvtH99Ft8YcG7Jb58ALMALBVdrMm+jBTMWJZXMA4iGo8z8ZHa7288ryuN3R+zKLqNHaDLvYK3pQ+8L/Frv5yXArs0cfxrwbqodInImcCbAgAEDWhmiygXiGoKUTkhM2BFBrJL0tCtuKHkOQu9gQu+D1QPxj0Ncw9PSfndUNqCUWDSWtN1yWPTdfJMsRKTSJa0PRUXkBGAksE+q/caYR4FHIdHlks5zq85BHG1/qNZkm+IG3x8Q3x/S3nZ3NGDrvmwxYjPmTp1PLPJbYnd5nPzx4sOyGJlqr9Z0uSwF+tf7uV/dtgZE5EDgb8AYYxpPv1NKdSY3T7iSkb/fAZfHidvnprRfT65/5TIGD9NPzrmsNXfoU4EhIjKYRCI/Dji+/gEiMgJ4BBhljOmYxTiUasTYAYgvBkdvxCrOdjidWkFxPje/cSW1lbUEqkOU9i3RYhZdQIsJ3RgTE5HzgYmAA3jCGDNbRG4CphljJgB3APnAy3W/FIuNMWMyGLdSGxhjMLUPQM1jIA4wMYx3NFI0XotmtCCvKK/D1zoP1gT58LnP+OGreQzYui+jTt2fotLCDo2hq2px2GKm6LBFlS524GWoGg/UH9roBd8RWEU3bnR7xhiITMGE3gAsxDsmMelI72DbrXxFBeftchU1FbWEasO4fW5cbif3TL6JwcN1+kprtHfYolKdW+2jNEzmACEIvo4xybMWW2KqbsCsOweCr0PwVcy6szFVN6cl1O7u8aueo2JF5YYFvCLBCLWVAe449aG0nSMSivD+05O456xHeOnON9o1WSrX6NR/lfvs8iZ2xBNrnG9Et4uJzkkk8vrLDZggBF/B+I9BXFu3K9Tubsqb04jHklfLXDhjEcGaIL789q35UlVezQW7Xk35ykpCNSHcPjfP3fwqd358A0N23KxdbecCvUNXOclEZ2MCr2Ei0+rWUE/RHWL1BCnauIbDnwDRFDtiEJ7chkhVfS536ntIkcQ67e317I0vs+rXtRtWfYwEIwSqg/z9pH+2u+1coAld5RRjQtjlJ2PWHo+pvimxWmJ8MYiXhr/OXii4duP7vcVP6g+uzsSyvapdRp26f9IsVcthkV+cz3m7XMWDFz7RrrXTJ7/yZYOx9estW7CCilVdv+tFE7rKKab6Poh8AwQT3SkmkFhP3bkTeA8Hx0Bw742UPIXla0PVIe/ops7czD7VWidcexRD99gKj9+DN8+Dy+PE2IZ1qyr55ftfefOR9zlrh8tYtXh1m9pv6hOAMeB0de06saAJXeWa4Ks0qAMKQBSiXyJFt2L1+j+skscRd9uWaxVHGRTdCXgTVY0kD/BB0d2Io7SdwSu3180dH1zPpf8+h/3G7YnlcFB/pF08Gqe2MsCzN73cpvZHn34A7kaVmCyHxdDdt2zTeu/GGOZNX8A3H8wkUN34wXvnow9FVY5J1b8NiSIVdhP7Ws/E5kP4A3BsClYReH+P+I5FrI4dq91VhYNhrv/DP/j+8x9BhHAgeVK5Hbf55oNZbWr/mMvH8P2nPzDrsx8Bg+VwUNSzgKuevXCj21q2YAVXj76FihXrEEuIR+Oc8Y8TGHte5/2kpgld5Rb3PhB+j6Tk7RqOSPKa2yYyHVM1HmI/Jh6Q5v0ZyTsjZaUjE52JWXsiiU8ANsQtiP4IruHg3jkjl9PdPPHX/zLr0x+IhJp6Y04o3qRta9O73C5ue+8a5k1fwLxpC+k9qBc7Hjgch2PjuluMMVw1ajwrfl6FsX/7BPHYlc+x+Q6DGbZn5xztpAld5RQpvAqz9muwa0mMPfeCuJDCW5KONdE5mPJT2TBG3ZRDzUMYuxwpvDr5+KpbaTie3QaCmKobkdK30n8x3dDEpz5uMZl78zwce/nYZo9pyZY7bc6WO23e5tfPm7aAipWVDZI5QCQY5o0H39OErlQ6iGMTKH0fE3wdojPAOQTxH51yuV5T8yDJ5euCEHgek38BYjXqU4028TE/9hPGxDeu0pJKqblk7i/0EY/G+dM1R7LXkbt1YFTJqitqsazkEVLGwLpOPFpGE7rKOWLlI3knAic2f2BsLinL14kT4svA2rLR9kIwqYbMNR4SqdpqxAHDmPredw3ufEVgy5Gbc8EDpzNgm77tnlyUDtvsugWxSPIEKI/fzZ5/2CULEbWO/paqrsu5BSknHJlY4qFnY3knk6i41FgUYj+lObju6bz7TiW/R96GkShurwt/oZ/LnjiPrXbeolMkc0gsWnbabePw1KuF6vG72WRQGb//835ZjKx5ujiX6rJM9HvM2uNp2O3iA/+RWIXXJR9v4piVuwJVyY2598QqeTJToXYrlWuqeOexD5g7bQGbbz+Iw846iOLenbNA98zJc3jjgXdZt7qK3/1xV0aduj++PG9WY2pucS5N6KpLM+GvMNXjE90vUgh5JyN556bsDzcmhFm5A6mHPwpS+g7ibPuDNqXSobmErn3oqksTz66I502MMSmXATAmBjjq9rnqvlIV3DKY8pOg1yeI6J+N6py0D111C42TuR38AHv1AZiV22JW7Yxd8wgg4DuSRB2XFEwAIl9lPFal2kpvNVS3Y8JToPISNvStm6rE+HQTQgqvxoQ/AntFihcCdkVHhqrSLFAdxHJYeP3Jk9C6Ar1DV92OqbmX1OPTnwQEKbiUxFDFxqLgTtl1qdLg17lL+eA/k5nxyWxsu/3LONS3aM6vnLfLVfyx9M/8ofhkrvr9zaxZ1tQ6+rlL79BV9xNblHq7sRPFMryjofZJiC3kt8TvA/+4xMQmlVbxeJzbT7ifL96YumFN9JI+xdz58Q2Ubpo8Yawlxhi++WAm//fMJ9i2YY+xO3PfOY9Su66W9WNAvv3oey7e61qemnf/Ri8L0JlpQlfdj3MLiH6dcpeRYixxQ88XMIEXIfQ2SD7iPx48B3RwoN3DhIcmMuXN6XWzSBMzSZcvXMmtx9/L3ZNu2uj2HrzwCSY+9fGGMnefvjIF2zbUH9Bnx22q1lQzbeIMdj2kbStzdkba5aK6HSm4mNRdKnFYMwoTW4yIFyvvZKyeL2GVPIF4D+zQItHGGIxJnqnYFb358MSkVRftuM2PX/200fVAf561iPee+GhDMgeIRePY8eQunFg0xoqfV7Ut6E5KE7rqdsS9E1L8KFj9G+2Jgr0cU3Em2ZqfYexa7Mq/YlYOx6wcir32OEx0blZi6Sj1k299YllEghtX5HvaxBkpa5amYjkcbL7DoI1qv7PThK66JfHsBs6BKfbYEF+e9qn+JjIDe82R2Cu2xl65M3b1/SnvwE3FWRCcAEQAA9FvMOXjMPGudSdZ315H7oYzRaWhkk160Kv/xhUV8RX4cLhS9yRb1m/pzuV1sfkOA9l2j602LthOThO66r7s6tTbxQGmJm2nMbH5iUlJsVmADaYSah/HVF3f8Ljoj3UrPja6KzU1mNUHYdf+J2ufHDLpT9ccSemmJXjzEkMJXW4n3jwvVzx1/kZ3c+115K6kWpDN7XWx73F7UNizgOLeRfzxwkP4+/ttqDnbyelDUdV9eUdBzVyShzAacG2bttOYmkdInn0aguAbmIJLEas4sSn+S92bSapWglB9B4YIkndq2mLrDApLCnh01l18+J9PmfnJbPps3ptDzziQsgG9NrqtotJCrn/lMm4+5m6kbvnbeMzmymcuYK8/7gqAbdusWbKWWCSGx9e28eiVa6r4/rMfySvyM3zvbVKOlImEo0yZMI01S9ayzW5D6DukDxMemsi3H82iz+De/PGiQ9l8+0FtOn9TdC0X1W0ZO4ApPxpiS0gUtrAANxSOx/KPSdt57NWHQjxFF47kI8VPIu7tE/HE5mPW/JHkN5j6rylEyr7StdlbEA6G+fbD77FtmxEHDN+woNZnr3/F/ec+RqAqiG3b7HroTlz2xLnkFfpb3faLd7zBM9e/iNPtxBjw5Xu5feI1DB42YMMxS+Yt4+K9ryUciBCNxHA4LOJxG8sSIqEoliW4vC7+9t+L2f3wjZvboItzKdUEY0KYwBsQ+RisMsQ/DnFtk9Zz2OsuTQx/TFr0y4OUfdKgOIddfhpEPk9x7HoupGwKYhWmNcbuYO7U+Vy63/WEA791abk8Trbbeyi3T7y2VW3MnDyHvx5ya9KonJ59S3h+0cMb+unP2uEyfp61uMUusuLeRbyw9NEG/fstaS6hax+66tYSwxOPxSr+F1bRTWlP5gCSdzbQ+KO9B7yHJFdacu9DyjXcNzTmx+DErnkMe/Vh2GvG1PWtx9Icddfz0h1vEAk2rJgUDceY9ekPrFy0ulVtvPmv94kEk0flBKoCzJkyD4A1S9fy67xlrXreEagOpXXopPahK5Vh4hoCJU9hqm6C2GwSCTsGoXexqwqRgit/W8Ex9BLQzLA730lQcQpEf2BDv3z1LZjQBIx7L4gvAOd2iP8ovYtvZNmClSmTrNPjYvWStfQe2HKffU1FLanydDQcY/bnPzLljalUrK5KqkXaFDseJ6+o9d09LWlVQheRUcB9JJahe9wYc3uj/R7gGWAnYC1wrDHml7RFqVSOE/cIKLgIU3Ehif76eOIr8CKGOLK+4IYJNtOKBdGpEJ1Lw4escYh+VzdCJg58hKl9FEpfRxx9MnNBOWj7fYfyy+zFSaXlYuEog7ZtPCchtb2P2o3vP/shaex8LBLj8aueQyzB2IbWDJ5xuhxst/dQikrT98bbYpeLJJ6+PAiMBoYC40RkaKPDTgMqjDFbAPcAf09bhEp1EabmARLJvL4QBF7GrE/k3lEk1mRPxYboNynaWG99ogqBWYep0j/D+o665HC8eV4sx29pz5vn4ahLDie/R16r2jjghL0ZtG3/DSNoGlt/Z77+Lt7lcW04T4+yQlweF/4iPx6/my123Iy/Pn9RO64oWWvu0HcB5htjFgKIyAvAWGBOvWPGAjfUff8K8ICIiOmKg2aVaqv40iZ2WIlleR0+JO9MTPA9sH9t4tjWjm6xIfJJG4Lsukr79uTh6f/g6etf5NsPZ1HYs4CjLxvDgSfs3eo23B4Xd3x0PWMKTmrV8UN3H8KWI7dg2J5bs+uhO1JVXsOC736hV78SBg5t3aeCjdGahN4XqP/btQTYtaljjDExEakEegJr6h8kImcCZwIMGDAApboV53CITCJpoLk4wUr034pVBL3ewqw5um6oY/1jPeA/CgL/SW4jpa655nd7bDKojCufvqBdbbi9bhwuB7FI8w+iLYfF1rtuyem3/WnDtuKyIkYevH27zt/sOTPWcgrGmEeNMSONMSN79dr4SQNK5TIp+AvJi4L5IP8iRH7rZhHxISVPgWMgSF7iNeIH1zCk4HLwn9GKs3nAf3T6glcbWJbFvsfticvT/P2w0+3kgD/t1UFR1Z2zFccsBep/NuhXty3VMUsk8bi+iMTDUaVUHXENhZ7PY6rvhOj34OiN5J+HeEcnH+sohdL3IDIF4r+Cc2twbZ+Yql5wKcYEIPgi4Cax5KwTMCAWmDi4d0by23cnqpp2/v2nsuyn5SycuQixhFg4RiwWx+N3g0msFnnabcc3mGzUEVqcWFSXoOcBB5BI3FOB440xs+sdcx4w3BhztogcB/zRGHNMc+3qxCKl2sfE10DsR3D0AcdmEJ0J8UXg3Apxda1Fpzqr+d/+zJJ5yxg0bAC9+pXw5VvfEA1H2Xn0CHr2Kc7IOds9U1REDgHuJfFE5gljzC0ichMwzRgzQUS8wLPACKAcOG79Q9SmaEJXSqmN11xCb9U4dGPMO8A7jbZdV+/7EKAddkoplUU69V8ppboITehKKdVFaEJXSqkuQhO6Ukp1EVlbD11EVgOL2vjyUhrNQu3Cusu1dpfrhO5zrd3lOqFjr3WgMSblzMysJfT2EJFpTQ3b6Wq6y7V2l+uE7nOt3eU6ofNcq3a5KKVUF6EJXSmluohcTeiPZjuADtRdrrW7XCd0n2vtLtcJneRac7IPXSmlVLJcvUNXSinViCZ0pZTqIjp1QheRUSIyV0Tmi8hVKfZ7ROTFuv1ficigjo+y/VpxnZeIyBwRmSkiH4rIwGzEmQ4tXWu9444UESMiWR8K1hatuU4ROabu/3W2iDzf0TGmSyt+fweIyMci8m3d7/Ah2YizvUTkCRFZJSLfN7FfROT+un+HmSKyY0fHiDGmU36RWKp3AbAZiVX8ZwBDGx1zLvCvuu+PA17MdtwZus79AH/d9+fk4nW29lrrjisAJgNfAiOzHXeG/k+HAN8CxXU/l2U77gxe66PAOXXfDwV+yXbcbbzWvYEdge+b2H8I8C4gwG7AVx0dY2e+Q99QnNoYEwHWF6eubyzwdN33rwAHiEjqctydV4vXaYz52BgTqPvxSxJVo3JRa/5PAW4G/g6EOjK4NGrNdZ4BPGiMqQAwxqzq4BjTpTXXaoDCuu+LgGUdGF/aGGMmk6j30JSxwDMm4Uugh4j06ZjoEjpzQk9VnLpvU8cYY2LA+uLUuaQ111nfaSTuAnJRi9da9zG1vzHm7Y4MLM1a83+6JbCliHwuIl+KyKgOiy69WnOtNwAniMgSEnUVumptvI39W067VhW4UJ2DiJwAjAT2yXYsmSAiFnA3cEqWQ+kIThLdLvuS+MQ1WUSGG2PWZTWqzBgHPGWMuUtEdgeeFZFhxhg724F1NZ35Dn1jilOvr32ai8WpW3OdiMiBwN+AMcaYcAfFlm4tXWsBMAyYJCK/kOiHnJCDD0Zb83+6BJhgjIkaY34mUbd3SAfFl06tudbTgJcAjDFTAC+Jxay6mlb9LWdSZ07oU4EhIjJYRNwkHnpOaHTMBODkuu+PAj4ydU8nCoWU2AAAAQ1JREFUckiL1ykiI4BHSCTzXO1rhRau1RhTaYwpNcYMMsYMIvG8YIwxJteKz7bmd/d/JO7OEZFSEl0wzdbh7aRac62LSRSZR0S2IZHQV3dolB1jAnBS3WiX3YBKY8zyDo0g20+OW3iqfAiJO5cFwN/qtt1E4o8cEr8YLwPzga+BzbIdc4au8wNgJfBd3deEbMecqWttdOwkcnCUSyv/T4VE99IcYBaJwupZjztD1zoU+JzECJjvgIOzHXMbr/O/wHIgSuIT1mnA2cDZ9f5PH6z7d5iVjd9dnfqvlFJdRGfuclFKKbURNKErpVQXoQldKaW6CE3oSinVRWhCV0qpLkITulJKdRGa0JVSqov4f+dKgYaMzS3UAAAAAElFTkSuQmCC\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "svc = LinearSVC().fit(X, y)\n", + "\n", + "plt.scatter(df['x1'], df['x2'], c=svc.predict(X))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "elNBRzRhLlTQ", + "outputId": "c47c6858-431b-4a74-b832-b0235a393ebe" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 25 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.svm import LinearSVC, SVC\n", + "\n", + "X = df.drop(columns=['y'])\n", + "y = df['y']\n", + "# plt.scatter(df['x1'], df['x2'], c=y)\n", + "# svc = SVC(kernel = 'poly', degree=2).fit(X, y)\n", + "svc = SVC(kernel = 'rbf').fit(X, y)\n", + "\n", + "plot_decision_regions(np.array(X), np.array(y), clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 375 + }, + "id": "jMbIQXeQMLWH", + "outputId": "9b6fba5d-f55d-4a65-e497-f6a6ffa8afa2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/sklearn/base.py:451: UserWarning: X does not have valid feature names, but SVC was fitted with feature names\n", + " \"X does not have valid feature names, but\"\n", + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 26 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.datasets import make_moons\n", + "\n", + "X, y = make_moons(noise=0.15, n_samples=500)\n", + "plt.scatter(X[:, 0], X[:, 1], c=y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "SPd0MNP_WvKx", + "outputId": "4fea7c96-c443-4c56-dae1-0af822d9046e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 27 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "# gamma=0 underfit\n", + "# gamma=inf overfit\n", + "\n", + "# C=0 underfit\n", + "# C=inf overfit\n", + "\n", + "svc = SVC(kernel = 'rbf', gamma=100).fit(X, y)\n", + "# svc = SVC(kernel = 'poly', degree=5, C=50).fit(X, y)\n", + "\n", + "plot_decision_regions(X, y, clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 337 + }, + "id": "-Ierw_GhXnGO", + "outputId": "39b8a708-5379-4c00-a803-95b7dc7aae49" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 28 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydeXhTVdrAf+cmabqv6QKlgCyi4L7huAEKKsLIOK7oiLgiA3wujI6Myzg6isyMKIKCiguogAqO44COy4iOioqK+woiUApd0j1dktx7z/fHTdKkTdu0DYtyfs/DQ5Oce+5J0r7nPe8qpJQoFAqF4pePtqcXoFAoFIrdgxL4CoVCsY+gBL5CoVDsIyiBr1AoFPsISuArFArFPoJ9Ty+gQ354TYUQKRQKRVfY/1TR3kt7t8B3f7+nV6BQKBQ/L/Y/td2XlElHoVAo9hGUwFcoFIp9BCXwFQqFYh9h77bhKxQKxR7ARNBgy8awJwLt+kD3IBKb3kyKUYVG7LEtSuArFApFKxps2ThSM0kVBmIvlPdSglcm0uCBNKMy5uuUSUehUChaYdgTce6lwh5ACHAKI3ACiR0l8BUKhaINYq8V9kGs9XVtkUrgKxQKxT6CEvgKhUKxl/Kfdz5hyBlTGXTaVdzz6Moez6cEvkKhUOyFGIbBtL8+zCsP/5lv/v0gy1/+H99s2tajOVWUjkKhUPSAY353M+7apjbPuzKSWP/0Xd2ed/2XGxnUtxcDigoAuGDsifzrzQ8ZOqhvt+dUAl+hUCh6gLu2iWFT7mvz/NcPX9ejeUvKKikqcIUe9ylw8eEXPasvpkw6CoVCsY/QY4EvhCgSQqwVQnwjhPhaCHFNlDFCCPGAEGKTEOILIcQRPb2vQqFQ/JIpzM+huNQdery91E1hXk6P5oyHhq8DM6WUQ4FjgWlCiKGtxowFBgf+XQUsjMN9FQqF4hfL0QcNZuPWHfy0vRSfz8+KV97hzFHDezRnj234UsqdwM7Az/VCiG+BQuCbsGETgKVSSgl8IITIFEL0ClyrUCgUilbY7TYW3DyF0668HcM0ueys0Qwb3H2HLcTZaSuE6A8cDnzY6qVCoDjs8fbAc0rgKxSKnzWujKSoDlpXRlKP5z5jxFGcMeKoHs8TJG4CXwiRCqwCrpVS1vVgnquwzD48fOP5XDXh+DitUKFQKOJPT0IvdzdxEfhCCAeWsH9GSvlClCElQFHY4z6B59ogpXwEeASAdfNVT1uFQqGIE/GI0hHAY8C3Usq57Qx7CZgUiNY5FqhV9nuFQqHYvcRDwz8euBj4UgjxWeC5PwF9AaSUi4CXgTOATUAjcGkc7qtQKBSKLhCPKJ136aRGZyA6Z1pP76VQKBSK7qMybRUKhWIfQQl8hUKh2Au57OZ55J1wMQedOT1ucyqBr1AoFHshk886hf88cntc51QCX6FQKOKAu7qOs6ffQWVNt9OQIjjpqIPIzkiNy1xBlMBXKBSKOLD0hVepLtnEklWv7umltIsS+AqFQtFD3NV1rH59LQt/m8/q19fGTcuPN0rgKxQKRQ9Z+sKrjB8oGJKfyPiBYq/V8pXAVygUih4Q1O4nHZkOwKQj0/daLV8JfIVCoegBQe3elWrlsbpS7XHR8if+4e/8auKNfL+lhD6jLuWxVa/1eK2qp61CoVD0gLfWf86OnV6WfRlZHqy3+3Ouv/zcbs+7/B839HRpbVACX6FQKHrASw//dU8vIWaUSUehUCj2EZTAVygUijZI5F7ejcNaX9cWqQS+QqFQtMKmN+OVtr1W6EsJXmnDpjd36Tplw1coFIpWpBhVNHig2Z5IJ9Xf9xASm15PilHVpauUwFcoFIpWaEjSjEow9vRK4osy6SgUCsU+QryamD8OjAfKpZQHRXl9JPAv4KfAUy9IKe+Ix70Vil3F11vKePSN77HZbKHndN3PjLHDGNQndw+uTKHoHvEy6TwJLACWdjDmHSnl+DjdT6HYJVTVNXDPqk+oJRUjIY2jL74brZXAv+u5eSQYxWRrDdx41pFkpSfvwRUrFLETF4EvpfyfEKJ/POZSKPYEn23ayar3fmArBQwZNYXBfQZEHWe3Ozjuwj8AULb1e/5v1Uscl+dl6rjDd+dyFYpusTtt+L8SQnwuhHhFCDGsvUFCiKuEEB8LIT5+5F/v7cblKfZVXl7/I/M+bCR1zLWceNH15LUj7FuT328IJ118AxtTDmfKg2/w9pfbdvFKFYqeIWScAk0DGv7qdmz46YAppfQIIc4A5kkpB3c66br5e2kUrGJX0djsQzcMNKGRmuzcpffy+vysWf8j/9mZztFnXdmjuaSUrH/kBhZPGxWn1SkU3eS4Ge3Gke6WsEwpZV3Yzy8LIR4SQriklO7dcX9Fz6iqa+CdrzrWXjOTnYw4LDbNOJwPvtlKWU0jAMUVHt4pNklz5dPcUM/+ibUcul8OAhhz5ECSnAndWT4AZVV1fPBdSehxQ7OfFz6rpO8Rozj6rHHdnjeIEIKcI8Zyz/NvcdO5x/Z4PoViV7BbBL4QogAok1JKIcQxWKakyt1xb0X38fl17nn+Q74p9zHglIsRov0ElJqSTTw9/1UykhOZctpQBncSxbLum2KWrv0O2ecoXANPAMDhcjJ63JDQmPKSrayvr8Xv87F8wVJ+NSiHGWce2eE6wvnX+xt57zurgmGxR2PAyImhHBqRIRgzbWiEQ7anDDr6FD5yl/HZD9s5bP8+cZtXoYgXcTHpCCGWAyMBF1AG/BlwAEgpFwkhpgNTAR1oAq6XUq7rdGJl0tljNDR5+b9H3mbQb2fi6tU35ut03c/6FfeRJJuQpsnhvZ1MHm25bLw+nZuf+QDdkYqRks+RZ02JWXgDFH+7gW3vPM/IwRn8btRQ7Pa2wtpd42HWM+uxJ6Xh6H0gB48+P+b540FtZQXfPHsXj//fmN16X4UiRAcmnbjZ8HcJSuDvdqSU3P7Me/zozeTg039Hdn5hj+b78aM3Kdv4mTU3gqFjJpKVW9CjOTd++Do/fvga1582kOOHFQHWaWTtho088d4Ojr/iDhKTU3t0D4DZ0yfi8dS3eT41NY1ZC5a3e907S+9h6WUH9/j+CkW32NM2fMXPAykltz71LhxyFiMOGh6XOQcefTIDjz45LnMFGTx8DIOOGc2jy+bywvtrsds0iisbyT/+PE646miciUlxuY/HU8+AK+a3eX7z4hkdXpfReyBrPtzEuOGD4rIOhSJeKIGvCFFaWUeJvYjj4iTsdyVCCI6/aGbo8d4kWg8ZfS4vPnazEviKvQ5VS0cR4tYVH3PQmN1r8/6lkpDg2NNLUCjaoAS+AoCvfipDZvUjPcu1p5eiUCh2EcqkowDg4Te+45hJszsc010nZqzs6vkVin0dJfAVADjsjk5j0rvrxGyP1gK+2l2OIzUbW2Iyw664t8fzt3efIB1tJLOnT6SmopRP7ok0cWlCo7Dffj1aj0Kxp1ACX0F9QzNldV4O7OE8XRWsrTeQki0bcbr6suPJa3u4ko7vE6SjjcTjqeeIWc9HvSaW00a9buOuFe8TTDOwaYIppx9CZpqqrKnYcyiBr2DJm18xdML0Hs/TVcFaU1HKFwumhh7ruh8Ao74y8vn6n18FjuMn/Qlvc2PosbepkelL7ycn2fqT83mbuWnCwfTrlbOnlqjYB1ECX4E0ISEpNs3z68UzMcIEGYDfU8Xs6RO7fl+h0Xvy/aHHPm8zmsPJ9gcnRTy/dcGkLs/dGaXFm6l2l3Pz5MgWDfHyF2g2G0kpaaHHSSlpjJjS4iPx+7zcvuohbDWfct24YQzdr6BLWccKRXdQAl/RJYzmxghhDOB1b8PzxgNxv1fJM7MwfY2YphEhmOMhlA3DwJGa3eZE0lN/Qaw4EpwcN/E66msqeeD910h/63/87dKTlNBX7FKUwN/HqW9o5oMfqzhudHqnY1NT06h2/4jXHVk50xbHAmRSmoC1iRhNdfSaNBd/VQl9B7V4GD6dM7GNZh5cX+uNYPb0iVS7yyNMRACmsO0VMclpmTkcNXYiJT8MY+ZjS/nHZSPQtL1hZYpfIkrg74OUV9dT62nikde/pczI4MhJt5HgTOz0ulkLlnPz5PEU9m/bymBzN9ahCS1i8zB0HaHZQWgU9h9Mpd2BI8GJaY/8NTWlyYAr5rcxL1W7f+TmyeMjBL/HU0/hRbMxDCNijh3LZpGc16/dtaWmpkXV9lNT06KM7jmF+x+CsF/GtY8u5r4rRmGzKaGviD9K4O8jNHv9PPXmV9Q0NLPB7cC13zAKTr6a/WPs7hQLXRWSGTmuiM0jGKWTkJoV0/1am5e87m0U9h/cZg0FRQMoLd7cRugbzY18PPs8EtJaHKd+T1Vo07jrydUxrSNe9B4wFKFNYcYji3jgylFRq4EqFD1BCfx9gMZmH1MXrqX/GdNISc9glCt/l9iKu2pXb71B1Fa6MaWJkCabF8/A76nC694WF5ORYRg4XS1lnm3JmfSefD9b5k+KadPYXfTqP4TaI85mzfoPmHBcTwNlFYpIlMD/BSOl5Oan3mV7cxKHXHgrGTkdNyWJhVi0+Fjj8TtKegpeX7l6LgDl0CYhKxZqK92UbNmIoes0lbeYj8ymerzubUhpRJiVgptLbaU7Zj9BvBlw0FEsf+SfDB9SSEFO574VhSJWlMD/hWKaJjc8/japv7qYE4ccGrd5YxF23Ul0Chfy1e5yCi74K7m6HxDYAjb80hW3sHnxDETAsdsZs6dPRDf8aOn5CCkRdqugWfBsU9h/MKWaLapPIugnaO89xLqpdSfLN8GZyAlX/pVrHr2VcQdlc95JQ0l0qmJsip6jBP4vEMMwuX7xW2SPvIzeA4f1aK6uCqz2omJsicm0rlLfWsg7UrMBkGaL+SVoYgHwuvK468nVzJ4+McLkU7FmHqa/GSEElTZ7yA5fU1GKAEqfuRFp6Ahb4NddSpAGXy+eiWkalGzZGLnWKCakoIM4OHesZSC6W47CmZjEyKvv5ofN33P5Q49z9H6ZXDMh9vaOCkU04iLwhRCPA+OBcinlQVFeF8A84AygEZgspdwQj3srInnw3xtYX+Jj4ClX0mu/A3o8X1cE1uzpEyne8iO559xuRdsEEJpG1ep/QKK9XSFvS8ul9yWW4Nwyv+NEq1kLlodq3ZSuuAXTNMg/787Q6wlOJwVFA/jknvNJSMsme/wfMHUfaC2CvPzZW2lyl2BLzoyw7QNtwk6hxUEc3IC2bfoGoTkoe/aWXZYVbHck0G/IwfQbch9bv/6IWUue56azj1blGRTdJl4a/pPAAmBpO6+PBQYH/g0HFgb+V8SJTzfuYOW6jXgHnsIJY0/bI2vweOpxpGbjyC5E2BNCz/vdxRFjghtIyZaN2NLzkcDOpdeHbOzSNGh2byfR1YeKNfOolFZ0TVC7BqssQ7DWzafzrsSRbbVi9FeVYBiW1i5NMzCfiSO7kJZunhItKQ2jsQYtIbFN7R6/p6qN2cjnqaapfBvS1EMnAltGPlpS+i7PCgboN+xodiYmM/25f3NKkcmlp8bPTKfYd4iLwJdS/k8I0b+DIROApdJqoPuBECJTCNFLSrkzHvffl/lhu5sFa77Ek9aP/UdfS//83jFdt7eUIpaAsCcgNBsOl9WfVmhaSFib/mb6XPEgEGneCa9iKaUMbTBCs4c0dklLS2RhTwjZ7qXuw253IDUbh/1+QZs1hZ9egqYcaejWfJoN07QWrjkSAu9g99Br4DB6DRzGZ2v/yaKXP+XqMw7fbfdW/DLYXTb8QqA47PH2wHNtBL4Q4irgKoCHbzyfqyYcv1sW+HOj1tPEjUvfx5dSwPBL7gk5NmMl3qWOwxGA6feGHkvDj7e2Al+t9dgZ0JANXY+e7So0yp69hYS0bIzGmpCJpT3butlUhy9ohjENGks3AxIk+Ooq2Pn0DZb9XoAQWuge0u9r9z0Eo5GaAw7kshfn4MjpY20aQsNX/lNXPpK4ctCos/j2HTtPvP4Vl45pY0FVKNplr3PaSikfAR4BYN383ac+/Yyormtk2uJ3OWbyX0hJz9yl9wqGNUZ7vj3sCU78Pq+ldUsTbHZsKZnknvlHSpfPwjQtLb41UrcEsJaYimyuJzXRjtHgoLD/4JCmXR4Ya5oGXyyYiq+uAltqDgkBrd4MCHG9thRbSgau8X/Avfpeek1+AH/VduwZ+YAVCfPTAxe1+x6Cp5xgZnEZYZtFcL1hZSCCaGFjgn6Gj+8+N/K0IUHTBLOnT+z2aerAE3/Nfxf8l4tHHagStBQxs7sEfglQFPa4T+A5RReprG1g2mPr+NWld5Kc1vUY7aApJxhJYxg6Uko0RyK5464JVZAMmnakqYdi4cHSmBE2iFLQDKxonB1PXouu+y2tWkr0+koA3Gssp6xEWsJdmvirtoNmx2ioZufS6wEwGmtBSqrd5UjTpGTLRryeWnpPmos9wQlAY+lmkgsGsGX+JERCEjuXWHZ4aegAmE112NJySS6wMomDG4zmcIY2FiGjn2iiZQZrjkTrHgFHgF5fiT0tB2G31mPqOprdjinN0OdS7S4nMbcvmaOvjnAM73jyWg6ZvrDHp6kDJsxg2qL5LLj6ZBxK6CtiYHcJ/JeA6UKIFVjO2lplv+86nkYv0x97n+MuvzOi9G5X2P7TRuxpLkRiGoaUSKGBAH/NTkzTkmeeZp2aCkurz8wtiDD9fLFgKr0n309j6Y/Y7C2x4cUrbkFIE6HZychxUe2uwp6ajR4QwEUzngZg51MzqVwzF2noGI01ANjTXNizelNw4T3WmCXXkjP2GpILBrBt8TScrr4Im53S525D+puBFsEuTQOp+3GNmwlYgt00DSpX30vO6dPw+yzTkun3gmngdxcjTR3Tbsdmd7QpnxDcEMOFdsmWjWSf9nsc2X0C/gIHJQ9dCoBRX0Hl6rl46ypwpueS6OrDgECYZsmWjRGbZUd0x6eSXzSQsgNO5tMftnPM0PbrAikUQeIVlrkcGAm4hBDbgT8DDgAp5SLgZayQzE1YYZmXxuO++xpvf7mFgqNO77awh5Ya9EGTizRNhKax/cFJ2DLykaaOrvvR/X6uPuNIkFA1+3wQgoTULHye6sBMIkJrdaRmh7TWu55czfRfH0vO+OsxdB336ntDNv2c06Zb4ZGmQfmzt6JpApsQ6M2ekJZueKoIOkM1hxVFY3iq0ZLS6DVpbuDulumosXQzlWvm0mIhMsHUkaYBCPTacqJh6jqmNJk27ihr0wt+PoZBQkZuKL7+iwVTcbr60rjzR/SaMqThByGQpoHRUE0ojcswOGT6QkqLN4dMYIZufZaGroeijprd2/HVV/HFgqntRh2F09kpYMixY5j78E2sUAJfEQPxitLpsPtFIDpnWjzutS+z9P2dnDLturjMJbBs5lJKpGGFLpYtuxFhc9D7sgXseHw6vS9bgOn3ojmc+N3FJOX17TRGPogpTZyuvqFQS81hmT7QbCS4+mL6fUjRcoIIFk4DKH7iGoRmnR5yx11DYf/BfLFgKrruxxEw6bQgkTKaq0cgNDtSmgib3bq/ZsOeU4jU/ejVJYhEa+MsjGIqCoZqmpqNbYunYTRUIzQb0jSxpeXgyOlD3rl3ADLCHxBes6epfBvCZseRXYheU2at1jSxpWZFxPSDFXXUUXOZ9rR8Z2ISOfsfzRuf/sTow1WvXUXH7HVOW0V0dN0gMTWj00zLWE0DQQEX7DIlNI1el9wf0rK7S7AGjen3sWX+pICmTSiKRggt4OyUCLqeNar7vCH3p5RWJI7RUMOOZ2YhAolV0jTANCh79hZAIk2T7Q9OAgS21CzLnNRQY208vsYOAytzz7gGp6svP827iD7Tlga6cc2zTDtCREQjRV1vnZvSp29AmgbCZkcaOmZTHSXPzMJ1WmQ2cnebyxw29neseH4Bfn0TY48e1OFYxb6NEvg/E25b9j6DT76803G7ItxS6j6kqUctNgaEzBQf33MB0tCpqihH2B1I08CWkoXRUB2IjhFYElrHqCtHIkPO46CTV0uInkVqS0zGW74VX1VJKItXYsXf29NdABRdOg+AbYunYbc7sCUm01SxnYKJVmtBo7Ga5veXkXTipZS/cCfZY6ZS8dIcpJQhW3934ur9Pi9IQkXa/D4vghZHcc74mWDqofcvbA4q/jUnro1jhp87nX/+82F0YyO/PrZtbSCFApTA/9ngMRzs17fn2lvbpiN+0OxI02Tnk9dgNFSHtPFgiGOEHm4YoXIG9pQsjKZ6pKFjzywg57RpofIFQmi4V/+DXpfcT/G8Cyh9aibCZscI+AAszV+iJaVbwt7uJOf06ZQ9ewvSNChdPsuKm0dQqmloQsNuc2CztyRW+X1eCEQCSdMImY/Mpjp8CJISk0EaoeggW2Mlg5M9bPz3XUhdx+EqQtjsCLujTchluwitJebf+gBBWIJ85/JbkNLAnuayPhO7A2Gzk5zXL2S+CZqu7HYHBUXx60UAcPRZU1j9r8fwvfsdZ5/Q87Iail8eSuD/TNB1o/NBMVDYb78IE0GwBr00dVzj/0DFS3MsbVyzBUwQfnw1ZSBlYHOwYZoGSPDXVoCwomzyL7gLAGFzILRIoSjsCeSe+UeS8vqybfE0+l7xII3lW7FntNTl37n0emx2O0JoHH3rqjbr3rx4BqmpaRSvuCVUf0fX/QjNhkhIAn9zKFPXlpJFzhnXUrHydiRQcNHfMBrrsK25hTvH5THj5UaKvXr0D0haZhS/p4rNi2dE1Pvxu4vRElOxZxQQyBFGry4hIW8/7Om5FF06j5/uuyA0la+uAimtEwdAWfDzcCSGNr4gmtBCxeDC6eop4KgJl/PfNUvwv/0NF4wY2qVrFb98lMD/GfDs/77FOehXcZmrPeff9F8fi6ZZUTGlT83EaKihZOHkUIkDW0omaDYcrr7knXM7miMhcCKoCTlFg/bsoBNVShl4TlC6fBaazXJ6et3bwNQRQrSURLBZmrvswKQSbLEYXotHS89HSihbdmPLQGGVVM5y5VkbWl0Zvi//wwUDTfplakwYaPBImZedS65Fr3NT8tBkQucY0yA7vxdF/QdG3O+LBVNJyuuLLSmdsmUt1TcNTxW21OwWU5RmwzVuJtK0opNc42fiyO0PUlomHmmyc8l1SFOPMLNpQmJK2oRxRqsy2hmHj7uEd199Bv+bX3HxySoTV9GCEvg/A77c4mb/8zoviNZeaWJffSVCiDYNPcIducF2g4XTFoQqQQIhx6dr/EzsWb0Dgt2HqfusGHjTwPBURThlHTl9Aj8LNIcTW2oWZkM1D61eH8pc3bbp24gCa3qdm+InrgFJxPo7a3piGVMk0tBDazA8VZT/62/IxhoycwvIy82jpuxTzp6QigDOPjiFVR+XIcdMwZaYis1mC5lXgmGl4Z/R5sUz0OvdEYXRpGmSkO5CpOfR55KW9QnNRlJeX7zubdiD9feFaNnIhAZCtHFY66Yk95zbARmR31C64hZy+w9s9/23x6GnXcT6N55Hf+3zn12hNXeNhyn3PM0jsy4mJyNlt127L6AE/l5OZW0DG91+irTOj/YdNey2ZxTgaY40Y1S7f2wn5E+0mEdSs6xsrNb3l5ZJo3WJBGn48VduD/ys43cXWzH0dNy0JBgl5CvfTHJBi4BrXcmyvqoiVDhNGgYy4AcGqFxjaceO7D4UXjQ7JKBrP32ZCYMFeZmWAMhzwm8OcPCq+ztcJ3QYUdzuiSio+UcrOxGJbNkMA0Le8FQjDZ3k064LfVfixTk4sgvxV5VEbEBeV17ofq3prNDdIaPP5bO1/+ThVz5jytjDOlnn3sPSNeuoLi1myer3uP6iU3fbtfsCSuDv5fzno43sd/JFaFFqz0QjmiOwVLOhmUabkL/G0s0Ur7w91NCjRXjFGqki0VKy0JwplrCVWFmsTXVWQpeA6pfnkpTbhyRaFyqTEWWTpWlajzu5dVp2bpsopI9nn0/hlEejxOgH3udPG3iurpnnvtoRes5X68evLafuu3URY4NlFdoLb62vqiAtOzf0eRm6P1CsDWx2eyiKKWh7F5oDh6sIqftC60tIy8bvqYqI2becxwkIzR7aBEqLN1PtLg91AAsS3BBiibwKFlpb8TOx6btrPKx++yMW/tbF1NUfccn442PW1Hty7b6CEvh7MWs/28IbO5L41Yj4lcENj2O3kpasUgpSypD92FtbEQp1tLJeAdNAry1rmSgsHyDvnD+3zF9VQtlztyE0jaNmPRd6Piicghq6aRoIEXlqSMrrS2PpjxGOS7+nig2zz0Vo9tDGFDT5hMw9QuCvKsEMVAyVup/GjR9YZRi8DXjqqtp8DomZhdz+8L/arUfUXnjrJ/ecz4Ar5vP14pnsXDbLqisESGmgaTYEgpo3FjHsinspJ7AB+n1AS+inrvtDvpGOMAwDR2o2hqGjpeeHnvdVlVCyZWOHBezCOfDEX/PSfa9wzvFD9vpCa0vXrGP8II0heU7GD2rukqbek2v3FZTA34t54t2tnDBlTo/a2pUWb8Y0DXTdj9/nDdWCEQCaHVtqFtnj/0Dp8j+FXSVB2JC6JaBs6bm4V0fa0Y2GGjB1HLn9I3vF2uzY013Y2llzUEMvLd4cYXrasWwWXvc2EpyJEacUrysP09BxpGbR+6w/4iwvD2nFQXOPIzmdprcexnXUGeiV2/HVV5JYvY3knAw2PDwl6joam33c+fTt2FOzcBYM5uAxF0QdF41QRqywBRK5AiGmjkSyT/s9Zc/dZm1qfh9lz97SkhAmTesEYxpIZKixerTKoeGE1/uHlpr/Zoy9fQGGnjOT6Q/PZ/6UvbfQWlBDf+4865Q16YgUznsuNk29J9fuSyiBv5cyZ+WH9DrytC5l1kbTfg3D0qSDJgPp94Vlu1qEp/tDIIzQ1Cm4+F7KnrmRgt/93Rqn+5H15RT2H8wn95yPIyOX3PPuaFs22NDxN9dHmBxaV6BsbXpqr5k4gNlYQ2+tgtoNL0OfoyJeM3xN4HFjb2jCuymTQ8+9juJ3VmF3f0CJVyMvq/26Q4/NOAWAF977nldfXMxRv7mi3bER9wxkxDaVb8PhKsL0+xB2O6VLrye5YCDO9FwOmb6QDbPPRQotZI4pe3EORmMdwq6BaVL+fJf9ts4AACAASURBVMvJSOo+di6xagYJYW101e5yEl190D21Ma2rI/KLBqKNv5apC+/joatPJsGx9/3pBzV0V6q1NleqnfGDtJg09Z5cuy+x933rCu5a8T51+41m0JEjOx0bbnoI15pLV9wSiiMHieGpDlWKbEmOir6ZCLsTo74CvXpHoBpl25j1YNy4PyzzFUDTbNjtDlIDDcdjRUizjU1aSgm+Rpy+Wu4cP5AZa17HcFkJRY2b1qM31rJj9TxSaGLhGQ7+8Pp6Pn1wBvZGNw+MTeS61xqprG2IquGFR3P89vgheNd+xfWTx2JgfTZRTUddRAoNLSk9ZI4Rmg0hoPD3S5C6n3CHRcmiy7EJQULA33HXk6sDjuF72XB/242o5JlZmK1KVEPHjtzcwv7YzrqBqxf+g4emjCTR6Yg6bk/x1oYf2FHuZdmXkQXvepf90KnQ7sm1+xJK4O9FSCn5y7L38A4Zx6DDTujy9a1NIS1Cw7I5V788F199VaieDIAtqa0NO+f06VS+Mg+h2QMx9pY5Qeq+kIjKyHFZiVArbw8lJgWxJSZDGydtx2TmFkRsEJ+9vISazZ+TJyt57/0dvPxlFXmimS/XLsaT1YfEXoNB92Js+ZiLDrEzrCCJ/zspgXfcaZzokpx5ZAabGmrb1fBaR3OMPWoAV/7tOYbOXIZmT4go5tY6UiiINP0RCWaGp4riJ67BCGtkHmGOEQKp+yhdElkALxhW6vdUode7yd0v8qQTqsUfuo+VtJV/3h30HRTpiO3MkZtd0IcDzvkjVy+8h4VTR5LkTOhw/O7kpXun75Fr9yVizCdX7A7+vuoj9KETGNANYd8R0aowAmgJibhOm4o0daRh1cppnenZEbMWLG/T7Bssk0dNRWm31iql5P0V8/hNnzrmTR7O599u5B+npXDNqHzuP7uQ3o4GfjXhYoaPHEOvnHSGFji59fRCDuyXy8RDk/nyux8Zf0AiYNlxV7/9EZW1DRH3CI/mCL6emZZMRmoS3z5wKf7GWmw2W+jzCGbdbl48A7smIjJiHTl9cGT3ISGnCFtqNr0uuT/kyI2KZqfgkvsouOQ+ek2+3/o36T6Ezc6RNz1LZm5BSEMPOrj9taUYnurQP5AkpGVHxOt3hay8Xgy74E9MeegtGpo6Lv6m+GWhNPy9BE+jly92NjPiN8fGfE0w0ap1LHjrdPzwKozN7u1I0yqlULHydrxvPBCyFQdt6MH53K/MQ69zBypNWkhpUm5zUNjPKsUrNDs5469vs7byZ2+LuuZgIlO05wG+fHMVFw7VGH3EAOY+8xrjB2nkptpprigmGRhb0Mxzi64jKS0Du9HE+EGOkN1W6E1ceJCd1d94uD7P2a4dt71oDtPXTLrZSOW7z1Jw6lWh8d5W5qnw5DECHcMkIpR3EB7BFK6dhyKeYsQwDBxprlBXstDz9ZX4PVU9Kr6W6crn0ItuZdZTc3jgqpHdnkfx80IJ/L0AT6OXqx9+m8N/d2vXrvPU40jNjmhEApE9VlNT06h2t4Q6WlUcweZwkhUQZEHHb1AQW60FDasOTaDSJFghhglOJ42v3tcmQ7c13hxX1DV3lCjkbWqk/Kt3GXHNyUC4XTa4coAkjh7k4vFbJ3P05Lt4+nODZV9aWmp5dT2GYWJSw7KvWyKAwu247UVzjD/xMJxGAwsu6MfFz7xM6tCTSO0TvQBZcNMK1tkJbxOpaSD9Xj6553ykaWL6m61Wj+GElZ4g7K21bopiSEne+D+Q6OoTcfnWBZPIcuX1uPhaeraLekcOX28pY1j//M4v2MtQWbVdRwn8vYD/bthI/vEXkJ4VXUh2RLCHbDh+TxVFgXT8YD2YaEJ5c+D/cCE8e/pEq/6MFmgfaAYdtjIUMrm5zUw9p7nRw3uLb2P+ZceGwgY7ssvOfeY19svUGD/m+C455dqL5vjjgueZcICNIflJXHpMJktfeZC+599OQnpOmznCG5xHi9UvdSRw5E3PUlq8GZ/XG3JqB8tU+N1bArXXwp3mktwL51iZtoF8AtuLc6xCdbuQYy+8gb8+dgdzfuugb0F25xfsRais2q4TrxaHpwPzABuwWEp5T6vXJwN/p6Vx+QIp5eJ43Pvnjq4bLPmgjNNmHNOt66NFj2xePKNDTbojPJ56EnJ6YzQ34quvaqk9b7ZTXTIONNbX8cGTf2bBZcfiykztdHxPMiqjRXPohklTYxU3/CaZ5opiftPXZPmHpWx8dAZJGTlRm5rHQkHRgIjIKSGsjFqb3YGh+0MN1iEQwRPItG19YotGeImJcOxa13I2NJuNIaMvZNV7T3Pd2bGbE7vCrtDEVVZt9+ixwBdWuuSDwBhgO/CREOIlKeU3rYY+K6VUrvRW6IZJRn4RWgf22PbS/IOZlq2dskGzQGe1VtojaPMvfuKaUE0dqfsw6so6ubLrNNTV8OGTt/PQFceTlR69+UlrepJRGe3UMPeZ16DkE447ICP03A2VtbxX14t+p0ziwBN/HXWu9oRusI8AtI2cSk1Nw/PGA9RWuqkIc3ibug+/u7jTJKwg0UpMAHw6Z2KX6+4UDhjCm28m0NjsIzkx/lE7u0ITV1m13SMeGv4xwCYp5WYAIcQKYALQWuArojB75Uf0P6rjLM/Waf5BAa8bfkq2bMTrqaXXpLmhxt7BZhtBm3xHjtLgZhKsi2+aBrbkTHzeZsvWLE3L6N8OnTlh28PQdT545u+kG1UsuuoEMlJjKwK8KzIq243hzvNQ983/kCeMj5qz0J7QjbYJBOviBJGmDsJq7JKR46KyfCcVL/0N4XDiGnsN0vRbAw2dxtIfCW9Do3XwfZjS7FbHs6Gjzubmpx7n3stHxFy3KRY608S7o/2rrNruEw+BXwgUhz3eDgyPMu5sIcRJwA/AdVLK4ihjEEJcBVwF8PCN53PVhOPjsMS9l3KfkyMGH9yla4Ia+PYlM6lcPRezqR69pgxp6hh2e5vojY60/PCqj05XX6tEMQAC4Uxh55LrrPhxQ8dsrKVU0xDSjNAiu3qS2PT5B2x970X+ctYBDCk6pMOxrQVCRxmVk8Yd1y3TQUe+gvXflfDAk3dz4iWzYhaE0jTbRE4Zuh6qWwRgopF/3l9DjnC714s9q5CyZTficBWx86mZmM2eUF2ioMCXuo9+gw+MeuLrCQUDhyLF5Vz76KPcd8UobLb4CP3ONPHuaP9L16xjZBFMeX4nj5zXW2XVdoHd5bT9N7BcSukVQkwBlgAnRxsopXwEeASAdfO73mD0Z0Z4uF1XyR13DYX9B4eacwQ1+3hRMPHuUJVHr3sbpStu4cibnm0zLtZ+uVJKPlz5IKNy6/jDxYeR20HZgyCtBUJHGZVAaGx3hX9rjjmgkEs8jaxZ9xrDTjg9tovCCtEF8dVXIU09FB4bNJe1mMokenUJhqcq1Jglf+LdCKFhz8gLVdrcumBSyBEfb3oNOBC0Kcx4ZBEPXDmqx4XWOtPE29P+O9P639rwA1/9WEem3cfQv22m0JWOpok20Vgqgqct8RD4JUBR2OM+tDhnAZBSVoY9XAz8LQ73/UUwIN1k21fr6XtQbE7brxfPxFdfRVP5NqSpU7JlI7ruR/fFJ4FGS0jGX7UdvdoqmSBNHTPKqaGrSCn54Nl5XDjMzujDY2vIEU0gtKeNu2s8nHfjvNDYBq8vbnbj44b15clF/6Fu2FGkZeZ0Wt9I2GwcMn1hxHPBRu3tkeBMxOf1oiWlk/frmexcfjOOnD5WgxejxWEuDSNKOWsiauj3hF79h6CdPp1pi+az4OqeFVqLdhobWQRjpt/H6wuu46GVb1FTXYMrJT1CQ+9M63/81smcd+M87jhBMvn5Ss46+WhuvbxlA3TXeDj1/+4nQzTy0Mq1fLZxuxL8AeJxbvsIGCyE2E8IkQBcALwUPkAI0Svs4ZnAt3G47y+Ca848nO1fvhfzeKO5EVtqFg5XEY7sQpyuvlbv2Titp/Ci2Tiy+1D+/O1Uvzw3lJzV+Op9UbNqY0FKybplc5l0SAKjD98v5usizQGWQIhl7MgiWPXa+xGZtD0hJcnJQ1eeQP1r9/LWI7diRKkt1FMKigZgs9ux2x2BU5qwitIF7PW6z2tVOwXsI3+Pluqi7MU5oX/bn/ojmxfP6PZ3FE5+0UD6/fpabnk69t/LaLy14QeWfenlqAfLQ/+e/KQOrbmah1auZfmr68hIMFnyUU0oK/qHbeVtsqBbs3TNOsYOgNwEL1ccmcCy/6yLGPfQyreoq67kzlOSWfX6+5SXbOvwd2dfoscavpRSF0JMB17FCst8XEr5tRDiDuBjKeVLwP8JIc4EdKAKmNzT++5LhDtG/Z4qRGIaUveF3HhaQjI7l16PbK6nTJrIgJAw/T5+P946OQSdg8H5wm3uXy+eiddT2yZByJaYTGqiPZRl2l0zwnfr3+SswZKRh/SL+ZquOOZajxWmn1OK/AzMccTNtpuRmsTtF53Axu0V3ProrYy44i/tOqzjIXRbIyH0/dizCskPJMTp1SVo9gTKVvwplETXHSd6a3IL+/NtcyLby6vpk5fVrTW3Po2FTmHjkzn7qfdIML0s+nUqU9fUccnRmaF8iHCbf2sNPfhdzx8DGQ7BFYcnsuIrDw+tXMutl4/HXeNh+avruOLIBFwJXk4p8pPgTGL128qpC3Gy4UspXwZebvXcbWE/zwJmxeNev0T8vo4LjYUL55snj6eJBCqW/TH0nABkcz1F/QdGRPR8Ou9KCi624vT9ldtDiT7bnrstJLzrqyrC+qmGI6lY+Zdu9VMNp6mhnh0frmbUlK4537tS7jZ8rNujs3ZTA/PHOnHXeJh0RAq/WfYhazds5MnbJvf4D35wn1zuPlvj7sdv5tTRozhiwpVtTDzRNkZbYjLe8q0tGc+anR2PWwLRaKyhVLMavEtDD2Tp6vjKf4qcJFDlNFjMLvhceDOV7uZfRGP4RX/kgedu42+Xj4rLfOGnsF6JPobmahjS5NB8OHr+dtKTnTQ1VvHoqZaFeOKhyRy/4E16ZzgjzD1jB4DdaCYnw4ZDE1x0sIPH/7OO358ziodWvoVTerni8FS8usH5w2zc9N9GRg1JUE5dVKbtHseZ4KCvzU3Z9p/I7xObuaOjZKtwYdO6UmNCnjW/lpwR2hSC2mDfQQe2mVN35UUIkK6GYIYnVKWnxBZ2GaQr5W7Dx1bVNzFhkLW31Tc2MzgnnVxHM6U7tsbtD35A7xwWTxvJfz/7iadX3M+vLrg2QuhH+5ySAN1ux/vGAwCkOwU4k6zyDJkF5J5xTWisoeuULp9F+bO3IgK+k2gdwsIx/b5u9b3tCGdSMjttBXy/tYwh/XpWeiH8FOb26PhMwcSDnezft4Cbc00+f66eUcMPJaXyy9AmX1njwSkMDsyRIQ39rQ0/8N1P9Ty6zkd6Ystn7kTw4POWmeiygx1kpwgamyX1XsHpA23srK3ljbXr93ktXwn8vQCHTcM04m8G6Iigwy8YG16yZWOnjr+uCI7uJFSFE2u5W3eNB4fDzqsLbiAnI4UzZy7gnTI37wTOm7pRSl19EwvHpzCnB8f6aFEfpxy2H3bbNh5/5l6Ov2hmSOh35XO6efJ4nKP/LyK71u/z4sgswCZEyPlbsmUjZS/OwWyqjyjJTKDmEZqt0/j79hL4OtoUhow8m6ffWsidl/RM4Iefwua+VcmEIQ76Z9lw13goyLGctkvf/AS7Jln2ZTk+v8HW8loGZGqs29LM5F+ls2T1e7x073TOnLmAHeWR7R3twAtrP8GJj2e/liz7wmor2eCTSKBfhmDEAN8+r+Urgb+H8TR62eTNYmS/2Ewn3U10QsqQoDCb6ij/t3VKkKZBQnouTlffLpVG7oj6mko+WXoHi646MeaEqmjEEloXHtExadxxEcIfWrJoTzs0g69r26+P3xntRY6MOLgvDlsxix+9iYz9j2XoyLO692ZjRJqG1TA++NjQMZvqAdlp1dT2+vR2FFab32c//me4aPL6elQ7P/wUVuKuR8Pk3nXNmLIOh6MCV0YqfQtyQxv9mOn346mvY97YRG5508txvQ1ufbvjSC1rI7DCFyqr6zEMCVLQrJskJ9h44uN6Dqr9Vgl8xe5HSskXm3Zw/8tfc8g5N3Y6vjvamdFQbZXmlRIZVoRL6j6rumNCElJaTcsbd/7Y/TcTRl2Vm8+evpNFU04iLSWxR3N1Fp7XOmyzoTkyFDNeGZmdZYseN7SI44YW8firn/P9R+kMOvqUHr3vaNhsNozGGoSmkTOupRy1EIKKf80B6LBqak9wOBPpQboI0H5Ji0dXvk5mouDcM1qK4H2/tYwvf/iJGcckkJ8iGL+/ndVf1zF2QFbEd9taGeiobMb1J2Uw93+1UNjWdLkvoRqg7AFe/WQzU+a/xkM/ZDDsglvIzi/s9Jqgdtb6X+tNIHgCCGptOWOvIWfsNbjGz8R15o24zrwR4Uik9+R5SH8zQtNw5PShfOXtoebbn9xzPp/OmdjlyI4adxmfP3Mni6aO6LGwj9akpDXBjMs/rSnnpD4my/6zLmJ80IwAcPYTxQghGDsAxsy4r0uhmrGGh144cig/vv8fTCP+FS4LigZgtzkQQmDTWv5pov1WlXsT7hoPZ9+0KPS5u2s8vPDfD8lJktx2kp1/rV0feu26+1fgShZMOtROskNwbKGN5V/6WPRBLW9tsBLswpWBju65+u2PmHSEtSG01xBnX0Jp+LuJiup6/vLcxwi7E1kwjEMvv5IEZ/eFYrAKY7W7vE2Zg9TUNDye+pbm4gLsWb0RNqtDkpacgen3BhJ6BAUX3sPOJdciDZ0jrrWKmHa14mZV+Q6+e34OD/8+Pm3zOkvJD/4xjyr0U93go6lJ4JReXCkt0TxBM8L8d6vJdPg4al4xDrtGQ5OXUb+/l74F2Sy57dIOtf2unBISnQ5uP+tAZj9xJyOvuD2m95mamsa2ZX9CS86IeF5LTMXwRgqmYFht62zqSpu9w6SuntBYX4e3bBNOR+z5E+EENfH9i/LZtnkjD61ay62XjWfhqrdI8tdy+gF2Du9lZ0RvX8gs98V3W5h6lANXig3DlNQ0C84amsAbJUk4HPaIWP2OKmWqxuZtUQJ/N1BaWce1Sz7i+CvuJDE5PhEChmHgdPXFkZodYZcNavYDrpiPZ8FUkgsG0FS+DRCh+lsCESrFq6VkhoS/2VQfsgMHK3F2hre5iXVP/IWBWYJFU0fhTIit7V5H9vlYhOxDK9/CXVnDax7JI2cmM3lVPaYBD71XxdTjsjjvuY94/u/XIqVk9NWzufskGze9JUhPTeKEoU5e/baajT/WdfrH31WhcdB++RQmxJZXGDLTSRmww1tI3YfZVI/UfWxePIOailKrIbrQMKUZtbm65kjssC9CdynZ/D2TT+zf7do6S9eso6xkK19+t4n7RjuY8cKbnDr8IJ79z3ukaQYXHpRITrLGGfv5+ePa9TR4fbhSbDz/tc4/vzNBQF2zBHsCycka1aXFbWL12/suXv3wWz77wc3Sz5qwh61/X25srgT+LqakooaZz3zKCVf+FWdS16NV4k4rW2y48AcZsgObMSQPNTc28N5jt3H/pKMoyGnbDL0jOrLPtxayADXVNaHkGrAiMmzoODSrp0CSA3wGrPq8jltPzQ0J5YZmH6cU+Rk1IIlRmxr5oUbywVaduac5mfGKl3/+98MOa7h0JTw0SKwmlqCZzhnWMB1gy4JLrB9sNqrd5ZhSIgDD9GPPLCDnjGuoWDMPb/lWPrnnfEzTwJ6SBTY7vvpKEtJyIu4RLJXdHYe/e9MG8o/svEdB1GsDG/dxfRPwNvr5VZHGrwdrXH7HExQ4vYwdZCcrEewa9M+yMaK3j1VvbqDRtNPUpJOU5CA9JZF0J+RmZ+Ft8nD3yVn8btmPLJxuJfF1dOI6bfiB+OvKGT/mhH1WwLdGCfxdyLayam5c8QUnXvnXHplv4oEQIAPHfmnq+CuL0WtLEQ4npUuvw2ioQpomxU9cg5YQ28b01X+f465zD+6ysO/MCRouZHXDZFt5HYVpkmWvruezjdu54Xen0eCp597RTv7xgc62OolXh7+McnLtqz4Oe8BqoO5+501ykjWWTUjApgnOGWpn6ppmfnugneGFdk4dqPPJzpqQmSHaJhRreGhXCGr2wXo4hq7j93lD5a2Rkvzz/4o9Mx9HgtN6zZ7AziXXopkGhf0HUykNel84m8L+gyOarOxYNivUYzg8zHbz4hkRfXlj4dM1Szi9Vx2HDBrarfcZ9LG88a2HBWMT8Opw2eEOXviuhjIdvnUb3Pu+DxAITWCzaQwb2Bdvso2F4/OZurqR5/9+LTkZKSHn67otVt9i/E2Ao90Tl2qQEh0l8HcRm3dUMuv5rxlx5Z2hSoc9obV2Vu0uR0tKR9idEeF41e7yUL30YPtDn6faitSRBkgrlK9s+Z9As5EXzLANhGEk5A8INd3uFNMkPaXrf0Sd2efDheydj63mny//l6N723l1SxNVO7cxdc5TjB0AhxdojB+sMe/9Zs4Z6uDwXjYuPDyF7ANOAODRla8xqlCwvyuFygaDAVmCUwfYkFLidMBlhzl4dVMTz76yjvNHH7PbBERQs/9iwVScrr40lW9D2BOQescZ1+0RnjtRqtniUjH16/+uZLSrkt8e3z1h//3WMuYue50LD03ijEEaQ3I0ttSYDMjS+O0BdrAlMO+cItwenfOeq28j2MN/NyaNOy5k4rtsxQ621xg88VkZuVlNaIEOX7kl3/Lel5vblNFWDVIiUQJ/F3Hzik8ZOXUOdkfPHZjQNpknWsIOgCM1G7+nCmibkRvcMKoqyunz+yfYueR67NmFIWGvV5XgK/8Jw1ONRucmncRMF+t/+Ilxw2OP5ulqjZyVr61j3mlObn6zmRQb3DYilUtXVnLKUYnUeiVDsgQPVprcNsJGTbPk9P6Sm99cj9dvUN+k8+xXkv9uMXA3WBpwkh36Z2p8V2G9v7GD7Hxa2sz19z/7ixEQ4Rp/kGp3ObOnT4zJEa/7fez46l1+O3NMt9dw04MrKUo1ePnbeuxCsvIbP3VeafXUAZw2A90w2/QzWP32Rywcl8zZTxQze1weVwfCbYMmvpeusH7frRDLI0Pf0dxnXmP162+32SBANUgJRwn8XYCUkqSM7LgJ+2ikpqZRvOIWHKmRjadticno9e52bbXBME4Jlh83EOonTROEQGh2EtKySU3s/FfjoBETWPHwLMYNj12j7IoTdOGqtzi5j5/hhU7ykjVG9NPIdjRz4cEOPiszGbu/g+e+9vO7gx0MynGQk2Jjc5XBib2bWfOdl4HZApsQfFFu0jdDo7hW0uiXfOs2Gb20EZCYUtLoh6yqzTx5hhWJ0p6AiLXGupQS0zRjbpgiNA2/uzhUilpKq3l8d4Mtgw79cByp2TE1TfH7vPxv8Z+ZfcHh3by79Tl988MW5p7q5PerG2nWZajXbrMucdoENc0mQ+/dTnogfDfYz2D8II0133qobvCx+hsP4wfZIzJwwwn6UVqbbypqGjgyy0NmkhX5pKJzWlACfxcw98VP6H3EaZ2O604yVXvXhEdsdGSvvXnyeJAGpUuuw2ioxl8Z1nhMSsu+76ki1RVbdIdmT8Dn10lwxParFKsTNKjdLx1vp95vUtUkOXN/Oxpw6gA7l73UxMpvfVQ0SEDw1Bc6eWk2aptM6rwG6U6NJWcmMe3lZpJsJrPHFzJnnR6K3Dnvxnk8d14aSz+u5blPq0h1CDKTLAHdnoCItTvTxJMOYP6K+/jVhTM7/CyCJrcgfk8VWa48bEJYpZIDpkBBIFnO0PE317N58Qz8nqoe9yhojd/r5X+Lb2XO+QfTryC78wvaYeGqtzhziJ3TDi3kvK3bWfpZc6hwX2IgiMuhaRywX5+Q+c5d4+HIS+4iLdFGY2Mj88c6mfFKNelpqfTtldehL6W1+Wb+ax+i+5r518aWDQX27eicIErg7wK21egcdPCxnY7raqr77OkTKd7yIwUX/BWAXF1HaHaEplG64uZQuJ7fU8X0Xx+LKU2ENMnMLQjNUV9VgdBs5JxxLe7V92LPCLwmQK8phUBGbnh0R0dmgAPPuILblz/I3ZNO7PT9QuxO0KVr1nFykY4mbMxd52PsYDuF6RqVTZLcFMH0Y5y4GyUTD7azeIPOvzdr4Eyi0VPPUBecPtjBgS4bvxli57XNsGhdDeMHWfVYPE0+aqprqGpMZvXXdfxlZCJT/t3IkL8Xk5XWUgqidQelWG38hw8qIOmNb2moqyElPbPd9xjN5BYscVzy7G1tIqWENCnabzCzFiy3Nv5X72NDIGQziDQNdiybhQAS0nMBMAwdYXdGzdkI/27Xr5jLvRceSmFu+2vuDHeNh1Wvv8+iU62frz+5Fy/9sJ3VD9zA4KK80JjgSSnI0jXrGJilkZHXixNddYw7IoPvPZFmm/buF26+GTckkYferWD1VX2Z8UpTyDegsFAC/2eEx1OPIzU7dFwPRm/43cUgZah93vYlMzH9zWg2O4anOtRH1ZaYTFq2JQRsdju2pHTKlgXKOkiJXm81JhOipfdqtfvHDm2/Ob2KKDPiq2mCdRL47HuD57720+w3cWhw/wc+pAwpi/hNWPKFjs2mcdiQfjx+62QOmfhnttSaDO+tsbHKZHihjQc/8tGsNzJnvGUTrqj345A6IxYWc8EwG/kpVmLP2p3JfPzUn9sVSF2x8d/9u2OZ/uwiTrrkpjavdRYeGYudPTgm2JM4nJItG6lcPTei8JrT1ZcdT14bNWcDoKJkC5lmFYW5HfcY7oyFq97ilCI/h/VOYmtNA2mpkvED4cb5z/PPv00D2p6UgkL77tNjD7kM0tpEuOZbDxceZCcnwafMOFFQAv9nTOiob+pIaYRqp0jdS69Jc0ObQVKetUHsePJaSLRH2P9tAempGzrCZif/vDtD48Gqx+IJlPRtj8bm+LRXDKc74ZBzn3mNwO6ILQAAIABJREFU4X0TOTjHz2CXRk6yjcHZGtOPcfLONpPV33gYWaTxwtd+ll5UxG+e2M45h6ST5GjmiuGZfP46oZIMPa3Jk5GaRD5VlBX/SH5RpHksnjXre0pTQz0fPj2b/umSv18a2ymtI1at3UBjnc7bWz3UNpk0+utxpdioav6JytoGpJRtTkpBod1RyGV7PYpbh/DW1Xt46qxE6hubmXREtnLWtkIJ/J8xQRuvabejhYXjVdo6/lpDJoEwX0C1uwqk5UDsKikHnsyqd77h7BP3XGGqYBjgAS6NJz/z8dgGL+EVp/0mfLCjhiSnnbOHCFwJPiYeZBXl+vOoZLbWNDN2QBIPrVzL2g8/jyqQupqif8nIwSz+6ds2Ar89Zk+fyPafNkaYaMDqVlbYb7+YNwqbzYbfUxXS4Kvd5dbmnhiZX2EaBuseu5UHLz+uU4EYi8PaXeMhO9nGG5P740q1c+er5dR4Gpnzm7488F59qO5N645Wb6z7jL+P9HPn215KooRctm5Q314IbzCk8/ihLWUqlJYfSVwEvhDidGAeVovDxVLKe1q97gSWAkcClcD5Usot8bj33khuEpT88AWF+/fseLwriRbm6WnWSXT16fJcvQ88mu3vr4/X0rpFMAzwjAPTeWOqZRJoHboXbLH3xzFpVFdXMWY/G5P+2cgrmwwa/YDdT3LyBiYd4ogw3bTnaG4d+92a/Ow0yl5+n6EnnBE1YqftpluORKPggrsjvodYTlnhFBQNoNGVF9GasrXZR2+so7mmjIVXXBZTv4L2HNbhG0FnncfOXr4ev2Fy/ykGupHGpCNSGL34fUbvJ8iwSx49K5OCnPR2v7eFv3Vx+Yvtdy/rTlb0vkaPBb6w2vA8CIwBtgMfCSFeklJ+EzbscqBaSjlICHEBMAc4v6f33lu5+fzhXPbYi50K/O6kureO7IBAn9td0Ec1Vr7896PcNCb2frXxJjwMcMYr1Sz9wh+qnRL+xx4USBmJGtUI8tLsTBuehM2ZwqSjMjh7eR2mlBHVFYM1eaIJ9PDY72gCJS8rjWP7OKirqiDT1baBSNBp72+oZceLc8j9zWVUvv5wRMvCcKJFaFW7yykt3txh45rW+BtqKH/zCVxZGRimydk3LepUc2/PYR2+EXTWeWxEoY+PipvJsDtCjU9G9zVY+kkTr/9gp6qpMaTZR/vehuQ5yXW42+1etiuyon9pxEPDPwbYJKXcDCCEWAFMAMIF/gTg9sDPK4EFQgghZU+rbO+dCCFoqqvBNAy0DkLnumrLTU1NA089tIqRD4ZQhjc691eVBF6VIdt+R+GWqalpVLt/bFNDPZbQv2xbAwf2y+vKW4krS9esY8px2Z1GdgQF0qIPamlsbMamQW6qjd7pDVw/MocRhT6+LDNwpbbUomldwydIrFE7dptGZ3Usaz99md6NP1C88d02rzW7t2PqOtXucip3bo9sWZmahTQNti+9kcb8XhHXhSsN4YqFaeh4a8rJycogLyMpplDT9hzWwc/ggQk5nL30dZb+dRp/e+o/PDLrYi6944mIzmNQTnlVAw1enXOf16lo8ODK9OD1Q+8MB5/NHNBGsw//nJ87L42dtX7Kahu5bUQS90RpVxhrnsS+TDwEfiEQFszNdmB4e2OklLoQohbIAdqUZBRCXAVcBfDwjefz/+3dd3iUVfbA8e+dlimpJIRQQgudUAQUaQIiCoIgRURUirq4Iuqqu66uP11dV5e1F0ARFxUEZEUUFpAiRRGQKkUEEZBeQkjP9Hnv74/JDOkJJCHA3M/z8JhM3pm5MzHnfefec88ZP/jCml9fLp69PZlX/vMive7/e6lB/0KUNzdfSI2z819AJ3RExcbhzbs9sWFSiY8RnNcvZuqgtE8cx/ZtJyGi8paCLvSP9kIWVBe9MfH8tE5HIw8tzsVrsHHSpaPTlBRS0nPx+KDTFP+UQFq2g2iDly9XbysS8MuTteP1+th2KJUOvUouPubJzUTuW8lLA2vz0NebyND8aaEnZj+D5rYjfV6ETu/PTjIYMdSoQ62RL+M5dxxjtD+l9vgH95WaPpv/9nUf/Z33x7TDZgkrMFVS0kmrtPc3OIVjcjMwCQb/eTLNaxrp+8hbrHzv8SKPFZhjH9TYzZQN2Xx72kC9KEupv7v800QvLj3BoGYG2sbrguWUL2afRCi77BZtpZQfAh8CsOG9K/YTQJvGtejb+CSHf99PYjENwitTafn8F1Iw62KyR37/bj4zJ3S94PuV5EL/aC90QTVw/C3tajMx039FGcgAyd8aMRgMB1p5aLGdc5m5BX5WnpPM3iNnsLXqXWxJ7H9NvIv01BTsU8czprmDBC2HgXUdzNiViUSiuXJJGPMW0utB6I140o4DcG7xm8E+B8H6OxKOHT5Yao59gEFIrGZTgfeitJNWSe9vYHF79rBwMtNTubutgfm/2Hmmm5mJi88V+VQUeM9m3m4lPS2Lx7uYmDs9jbta1Sz1dxf4VPbJ9lNkZuUwe6iVc3Yftybp+Fu+HsWqWFr5VEbHqxNAYr7v6+XdVuwxQggDEIV/8faqNuKGVhz+Zhp7t6zD67m4wliXs5+WzmRgmxqV1nGpPF2uClu7fT9zdrvoNCUl+G/OblewM1LgcYc9/UGwcUbhDkjvf7m2SPek0rpclXaSKUxvKL4/QE5ONjVvf5q4KCt3dm+EMTaREd0aUcPo5vScp/Fmn8Nz9gjetBN40o6X+B7LvMyqhJH/LLUTWkD9Hnfw7/mby90NqqT398s12xnYRIfwOogKg5UHvdzdxkgdq48HOpiYs2xDge5WNz/6Nv0bC5z2LGpYBPWj9MRYBG9/d5ZaLxyk/buni/3dLXpjIltnvUBS/QTGtA+je0Mz8RFGGsZZC7zn5e1KFuoq4wp/C9BUCNEIf2AfCYwqdMwiYAywERgOrL5a5+/zC7eGMW1CT77fsYkZHy6m5wP/wBhW8cqZl4Nti/5D3/gMhnWvvE8vF1PhsLSFusD0UPtm9Qo0zshfZz89PYNZS9fzvzHxwSvDQK54SVfwlZUNoh1cz6AkH9EmDel1ExMGg1sY+OyQFa8xIti8xhiXiPS68WScLvdjBxS30Gs/d5IP5n3Do9eFlfnJqPD7G3hP7Q4Xn+1M4621WUSaJA6P5OPBFqLNgtHtjHy+xxG8yp+5ZANnU88xdYOBl1e4SIzSEaYXOL1gNQoSInWMGFByzfrUjBy27vmdIxbJ0gNZaBqctWdTMyaSemf2q2JpF6DCAT9vTn4isBx/WuYMKeUeIcQ/gK1SykXAf4BZQogDQBr+k0JIsISZuKVzS1o1TODFT55FXzOJjkP+eEX0IS3J5gXTGFTfwW3Xt6i0x6yshuP5BbotfXn4GPNGxXHTtN85FGnlne/PERtlIyPXSZTei9vlLXCSAUqdJipvNkiDhBhSFq7C0bEnFlvRdRBd2hEWZPlYsC8teJs700t4Ym0yMnOKfUyJRPO4QfMFC64hSv6gXtx0n/PcCQ5MeYA5u7ngVNPAlNvAvj0B8B3bQlp6BjFmSAgX1LQKQDKqjZGPl23gzr7+stPf/rE+PaccpUWcnhGtTYxub+b2uVl4Ncmz3fS8XswibP7nfLxnLE/ccD6/Pv8C75uzV6hWhuVUKXP4UsqlwNJCtz2f72sncEdlPNeVKrFWDB893JuNe4+zYNZf/Q1JJJxwmknsMqjAsdaIKOpUQk3zynb66CEO/LCQu1rp6depcsdX2f1HAyeQHg1MuF0OkmKNPN4zlnWpkZw9dZwsTU9CtI3nOuuZ9IObc7m+4EnGZA4nNb30K/jyLC5H2ixMvr8LE2c8z/VjX8QaUbBRTP17Xytyn22T7qTjva+RkVcXKX8lTZD4ss9x8sM/BLN03NlpGGvUvaD3JiymNpjDWfruk8THFDwRlZZqWnie3GQO59DxbNKz3Rh0MG2bm3CT/0JGJ3SE6XTBT1WxVj0WvcYz3c08uszJy+sctI3XM6CZkXYJOjocyQo2oimsrE9UKv++/C67RdurXZeW9ejS8vymmuMp6ew5/H2BY3ZuP8fPB68huc/wcj3mxeTzB2g+H/s2raJll77FfurIzc5k55JPcNlzaBmew996NqV5g6I55RVV2X+0gW5La/fbefcWE/uPnmFoq2jemfob/VuGs+lwOsfTJQ2iwxnc3MinWzJ4olcsA5voyI1NYsdvx/nXhKE8M3UBHz5zL1JKHpz0GfuPpvDM1AW0b1qvXIvLsVE2pt7flYc/ep5rx/yd8KiYco2/pEqaRoMek9GA1HzgTEe6Hdiad7mgyplCp0NvspCakVMg4Je18Fl4yo26LVlr1HP0VAqHz2QCAqfP//+QXi+Ii7Kxdc/vTH+8PjO3ZjKhs4UW8UYe6h7BjK25aMLDHzpasRk1hjTTeGT5BiYM611gcfzBSZ/xcRmN5lX+ffmJy3oq/QrO0qmoB6d8S6cH36rS59i1fDbZv++gR+NwNhxxEGa2FDnG68ji5buuJSrcUu4SyNUtkGHTu64Hm3AxMllPhsOHFHom/+hg1WEfr/cN44nlTgY0NTKijYl7v3ISGRGOQa/DK3XUMLiIiq9DxpkTZEorN3duxcz/rUNnMCF9bmxWc968v71cFRkzcxxMmP4DHe99jojo2BLLXGennQ0WuAOQmoYz4ywWs5Hht92CIzeHx29tTvN6caRm5tJh7CR8Biturw8pwRQRi95oDGbpFLfLFmDv2/ey8a2xtGp0Pn8/kDb5xA1RJe52/e+IiOBO2kCnqk8Xr2fxyu8Y2LdngZo3ny5eDye2+T85fXqM/w634pWSo9mCe7/I4p62YTzby4zb7SXdqTHpBw/fnYlg1dQng92vAo+rrtQvQNdHSpwvvjL+gkPMDz8fRdZqXaXPsWfNAnpHn2HoxF6Afyv01SJwJbp2v5PjGR7e2ugl2ixIydHwaDCqjZGkGB33dzAxc6eX5wfWZmKPHHJj27D5lyNkpKfxys3+yo0zhsUw7otzTFvwHY2iBSezHTSJ1XM8y0GcrfzTTlHhFj4Y34NJ81/lmNtHzx5dqNu+d/Dn6ScO4tq7mpiIwr93yZODrym2b/C8FZtpXVPPwL7X88TdN+Nye5jwwRpqdL2Lhi3blzgW59kjSLedZonnN8uVtYZS0pTblC/WsHbz+dpDuU53kZ23kzdkMLgJpNj9pbfNQnJLkp63N9qZusWJQCIEaBKESCvY/UqlWVYqFfAvQ78eP0fD60aXedzFNFABfwu7Yz99x9Cnrs6rpkCgATMZXsnw1jrGtTMyYYmdUzmS4S2NRIQJ7m5j4LNdHjq8c4yaUVZc3q0YPVnUiTaz4TDclWyghsFJn0Y65v/io0mMwO3TMbm/mTFfO5i6Po2HusaUe3E5wmbm5TE3ALDr0CkOnVwW/Fl0vJleN5fdNCegpOmX9x+6kaWb1zH3g8+Ja9EZmy083y5bH66cDITPRfP6tTAYzk8DlbWGUtKUm1fbxuh2JprHh9G/sZ0Zyzbw9b01eWjx+ZIUg56cXGjXLWTl+rCYfESEW1j3YALncn3c+P5h3uxnYeqazeS63FdNy8nLiQr4V7ALbaASsP+nDTx0Y/XVvqlq+bsojXjqHZ7qG86Bo6c5mysZ09ZIrFUQYxZYjIJRyUZm7dUz5+UJ3PGXt3mpl5GnVzn4yu5mztAwspwav53z0aSGjvXHNB7pHEaLOB13JRv5dHsGE7rVKPEqv7SF3baNa9O2ccFyCOW5X0BJKawmo4Hbu7ViQOfmbN53guzkRKx5azk+eyYvjuhI7bjIIus1Za2hFDdPHnh/A7n8tybB7C1OsjIz6N84rEhWU+B1/WvCUP74z+n8o3s4ExelI4Tg6SUp1I/Sse2El7Opacz7ZgNrH/TvJFZplpVHBfxQpGlEWK6O/QABxQXJQFAUXgerD/uwGAWzdnmYucuDzSQw6ASaBIPm44m35nFjPQ83NDTRp5GPwxmSmlbB3rMax7Ik02+zcP8iB4Ob+8scjEr2fzq45q2jCCStkvYWyeAJ5P+XdnVa0rhLu195UliNBj3dkuvTLbl+kfsX52IWPvN/KvB4NQw+JyOTDSzYbeeea008stI/ptSMHPo99g4jb+5UYD9ELYuL3g11XPP2UXQ+NwvutDJyvp1osyAyzFlmy0nlwlXGTltFqXb5g2RAYJdoxykpzPjJxdv9zCRG6TAbBOfsErcPhNCR6ZRs+eUQY9sb0AsY1tLA9lNeGrydxcj5Dka0NlLTJhiZbOSTHV4OpGmkO+HGRgZ0ej1JcWH0va5lgbGcOXGEL1dsLHPXcODYvhPf4lxmbrl2G1/ITt/8AjuOA88T+Drws4FPTua2J6cUuC3/MYXl34Xb+s3j3DYnh7m73exO8WHwOenfWDB1/hr6PfY2MQYHc7/ZyCv9Yti97yCj2ltpmhjPs/0SsRhgeGsT9aNNWI06nu9p5kCaj+avHStx97RycdQVfgjSSii/e6UqaT47cNUayD7p1TaKFnWzwGNnzi4PmKw80SuW/1t8kh8P22kWa0Cg0amukSEtvcz92UdUmMatTQz4NH/z9NFfO/h4hxuTXuDTQGeQvD+0VoFdugtWbSIjx80NDXQkxRpLnfIJ7BVYsS+NqV+uwRZmKnPu+mJTWAufFPN/ipi5ZAMHDx0h2iwK3FbaJ438nwoGPTmZfb8fx+F1cTxLctucXDB40Ok3ITx2/t7HzLOrXKz4NadAV6sos45+jSQeH7y+3s4drQ00iCrYclKpPCrghxivx03K5oW0mXhjdQ+l0pRVkiF/gExJz8aX1wpLw82cPT5Opebi9mpc/1E2Bp3Aq0kcXh0+TXJ7KxNRFj1Ijfhwwe0tDPycorF6XDR/WZ7Dz6miyC7dKOHAofcRYdIFm38UNwcd2CuwZr+dN24O4+Gl64mLtvHlSH9GTuB+A3u0D+4HyH8iuxD5T4rjvvyRw2ezWDAmgb+t8j/+glWbiLVInu1hZNKazQzs0f6CsmRmPDeWEU+9wz+623jp23SevymGv30n2H88lQmdjDSK1jEy2ci8HZkY9bpgV6schwu8Go1qGPH4tGDq5gOdw4MtJ9W8feVRUzqXoVoxNs78trPM4wIbrgr/K23DldvppF2D6GDFxCtdeYqABQpwbZ31Ats/e5Hr2zVn1+f/5NQ3b7B11gt0bJVETIQFh1eH0OlweHVInREhBKtPWLh1jp1RC5zcOd/Bgr1evBrsOePhtqZ6Muye4C7dBas2MX/ljxxPd/JOPwubT/g4nJJNtEVXZMolMG6heeifJOhUR0etMCc9ajuLTNX8dfIXRaar8j9O4WmX4m4LnFz+tiQFozeLWmYvK3/NDT5+TaOToS2MXFPbQI8EJ7c8+hb9G4tyFyObuWQD/RvDkj1ZuH2SxXuy6FLLjkEnGdPeSKxFMKi5gagw+GZ8fR7vFc89t3ajRaN6REZF8lsGtKvlT91Mc2iY8KgiaFVAXeFfhgZ2bsbX761E3jCw1Jo7F1POeN/aLxnetPJ3ylaXiymPXHiaYsZzYxn25Nu81stDh8Y1yXBo9Jh2mjZ1LETXqsWYayz+zUhrz4Hbzqi2RnK8eprZdNzRWgR36dY0OnG6PXRL0lPDImifoGPYvFxs1uNE2sxFujj1SoTV+3OZNdiI1ej/PX+8JYelh84E+7lqmiQl/RwzbrfycjH1Zop7PSU1Ye9d18O5HDe/p3l5f4CZv63OZNqIOrz3/QESo/SMbmcjyiK4uYGHz7bb6VrH3/qwPFkya7fvZ8/BLHxuN1NutfDwUgd2j4uEcB01rTp8GpxzSDrU1tHh7aPUjo2gzpn9wU8rxaVugkuVR6hkKuBfpu7p2Yx5i6bTYfD4SntMr9eDPL2HPkN6l33wFeJC5rNLmuufuWQDPeu6iTL4SM3IwRBmJUy6eKlPDHfN+52DERb+vToVgUQvJG9sdKJp8nxQzpsaOpbiwKzX+L8eVtDpGN7axML9Go3r1WbZu48VGffPB7O4rTGkOyVZLo13+pn5z04v9a/pFhz7m7NXkPHrDzSI8BVp+lHc6wlU+izchN0/dZTLiz1NPLzUR+t4PTc29PHPlWdJioZrakO0RSCBaDPc287I4j1ZdE6KKXASzb+TNn/wn/HcWHr84RXuu8bCgBYWNp7w8clPboSA7h/nIoBMlyTbBaYwM1tnvVDg/VDlES4NFfAvU73aNuDTtatwOeyEWcpuMl0Wr8fN9x/9nZeGJFfC6C4fFxIoSprrX7l5Lz//ls3CPTrSHHYMBiO3N9NRy+INFlyLM58sc4t/YHG4W6vzVR0npmZC3aIlpBe9MZH+j73Dgn2HWXdUQ0qJV9NIc0Bbz15GD+jK2Jc+ISMtjddv8FE3ysCN9dz837c/Buf02zerV+T1AEVuC5xcBjeBGAvc3dbI5z97GNPeyKC5drJdkr2pGp/tygDw73wF3Bp8+Zv/04nXp5G+fk2BnbT534up89cSJl2Ma+/v7jWwqYHPdro5l6uREOHf4BVuEoQZBPcN71Pu35lSudQc/mVs0j3X8sNHz+G0F18qt7w8LhffffgcrwxvSZN6Ncu+w1WotLn+vte15PFe8ez8SxJ/6BJHlNXIs/0SaZoYz4DmZnb8cgADXr5atanUpiz50xTbv3uaWi8cZOYOR5F0wsAce9e2STzeK55Nf2rE53fY2PJgFCPbmOjaLimYNdMl3kHDGD05Lo1aNugS7+Cvk78Ipn3mfz0LV2/mq1WbirzG1x8bQcP4SMZ1iiLaLLj/GiPLD3hJiDQysLmJOjVsJNe20Kh2DZrUjWXXX5I48WJz9v41iXpxESyf/BdGD+hO42jBnGUbeHdwLNPmr+S3Y+c/VS1Ys43eDXWk2H38ctaD1eifs8/1wqlc/78UO2R5hEqvrEbqCv8yVqtGJO+NvZaX5r1ItrEm14/6Mzpd+c/RUkqy0lLZMvdVXr+rHYm1ylep8UpW0i7Vslr1BTYxCc1Dn0RPcNPPkr05tIgVODwe4sJL3+Kf/9PG+cJf3YPz6IFxBebYvzx2BoNO8sGPmeB1E2kWZDklpuNbiY8wUjtC8NkOO8t+8xd/q2ERpORKdPpDjO4QjtvlKLA5KdCEPcocw4HjZ2lYOza4KDuwiQ68OWR6JDk6aJ+gp8v0LNw+aB7nw+MRRBlzMBuNRZq4vzZrOZt37eWlPlYmLkpH53UyMAmeeu8Lvnr1YQDqJ8Sy7owsNAdvokf7ODVdcxlR1TKvEDsPnuJfy47Q6PoBNG53fZnHH/llO4c2LCY52sW4m1pTOy6qzPtcDUqqsDjoycmcTEktcrxX6hjd1hhsrjHoo6PsS3GDwYTVbCI9M5s64TBtoJlHlnlwGiKIj4vjk+fHFinjGzjJpGbkMOzJt3m2s5uXN5tY8MbjwYqSvXt0Yc2mnbw/0Mr4hbmYbZHYczL5alRUsAplj2mnua9jOPe20TF1fRq7U/X0qAdPdDUHU0GNel1wnJE2MwAp6dl4fBBhMeJwOLFYzETazKRmOakRHsbJ1Az0+XIAHB5JeJiOOuGCT4aGM+6rHE7mQExUBAa9Lq+Ju5s0t4mHu0YyqKGThfs8pDt8PNzZTK9PcvlmytM0TYy/4ObzShVS1TKvfO2SavPuqHCWbP6WFR8swmwNL/FYj8vF9XUEDw9vFjKBHkqv517SVeagJyczZ3dqvkVfM5FRZurEx9GrQzPWff8dPepqtK1tZnBzmLU7h9STuaVmxQQWgQMLrYFPEe8PjePOORsZlmyleXwYPeumM/enwyTXsRS4qg6TLm5NspFtd3JzkoGZO3L5Q3sre1L8qaA/HHWxeHxjpJTBEsWFm6+/cmMcw2edYck7E2iaGB9cXxjdwcbYuSfzqlPqcLvd9GkkSIoW3NHazLoTOnrc0J3RA7oy4ql3eLe/hds/Pk7XOhpRZsG9bQ3c+YWLP3fTMSrZELzKLy4zSJ0ALj8VCvhCiBrAPKAhcBgYIaVML+Y4H7A779ujUspBhY9RyhYfE8G4W65hXPmLKoaUyu6Je8uj7/DbSQd/7mzml7MerqsrePdHN6/dEs773xWfFTOwR3sWrt7Mv7v7aBBj4NZGXh5ctoEhrS3oXJn0SfSAz4PHq3FrIx/L90m2H7fT/t3TwavqwU10mPDQNDGeiHNZjG7vZV+WlQ4NjMRa7QVSQQunoAbegw2HHSSG+4IBOX+pYulxEm3WcSRDI9wEf+9pZe9ZD53rCiZvtrNt3mpyXW76NwadM52RrQ0s2ZvDPW2MeH0+OtbWc+2HmUSb9Zx1/B5sDl84M6g8DWKUS6tCUzpCiFeBNCnlJCHE00CMlPKvxRyXI6Us+ZK0JGpKRymn0hp0lOcKs7gr0vwNQQBOn8ti6vo0oiMjQGeAuh39d87XNGRdaiRtzGeY0AESwvWczPLy73UOwsJMjE4GCTy23MPkQTHUMDqZs8uTd1Xtn4IqPPUU2BmsocOoJ98uYR21YmycSsuldeO6xERag1Uo3x9g5aH5J3m3v5nbPy847XL7E2+BM5Nne5h4bLmbQU0Fr98SzukcHxitTN1kZ+5OOzZLGLOHWRHuXFLtkrGLXAi9Eb3mIdIsqBNpZNED9YOvuUdcVvA9yI1tE5y2Km+DGKUSlTKlU9GA/yvQS0p5SghRG1grpWxezHEq4CtVqnBwBop0bSrr/oXn/vMHX02TnE3PoqZVR71oIzNG1mHY3Cw0KQvMv7d78wg6NGpadeh0kG73IaWkYbSOqQMtuL2SGTu8zNntpl6kAZ0OatoMuIyRpQbG/KWFA2UWPl28ngXL1nAsU1IzzENCvYbcWDuHXIeLrJxc/tXXxj/W2tntbcBXrz7Mm7NXsO777+he18eIVnpeXe9i8X4vsTY9mgZnczUkEGUW9Gti4A8dw2gY7f8ksOiwhdm7PRh0Bf8kvT4Nh93B+omJwffgpo/OMCzZynM3xVzQ70CpJFWQGrd0AAAPNElEQVQ4h19LSnkq7+vTQElbOM1CiK2AF5gkpfy6pAcUQowHxgNMe+pOxg/uVsEhKqGgIj1xyyq+BsWfUAJZMYH597hwA9clmmlTS88/bk3A49Xo/8Eh9p71sf+cxqC5DkDg0gR1ooxsf7Lx+cf/PpMpX6xh54Hjxc57B6ZI/jr5CzJTTgY7TXWsbeBkWhbP32Bh4tKDHDhmxemwM3uImZ9Pu7g5ycC8/x1m/9EUFqzahN7lYlSymXCj5M5WBnalwIL7GhBr0/P80tPsPuPD6fYyZ5eThfvcRFv0ZDklGDy0aFSvyBRY4H0JZD9FmXXBaStQtewvN2Ve4QshvgUSivnRs8CnUsrofMemSymL5P4JIepKKU8IIRoDq4E+UsqDZY5OXeErl0BpvVwDisvyCWTF1I07X7voRGo2Rr1/vSUr14nb6QQkC0ZY+dMKNx+NrMdtM05iDAvjbKaD2jVsGPT+1Mpct8TszaJ/nxt4ZcKQ4GP+euQMfSa8zud3xzP281N8dncdxs1P485kK/N+Osc9yQYGtzAwfZuHVads3JLo4IVeYRxO8xIbE8nnv8C61EjIPEn3uj4e7mQAJCm5kjc2uvnfIT3RNjNn07NIrmWiS0MrM7ek8/HtFrq0rEuGQytxeqzw+5KV6wSvmxbxJhY94K/Fr67yL7HqntIpdJ9PgMVSyvllPoEK+EoVq+jcf1mPa/Vm0aGWxgu9w3j1Bxd6czh6g4lVp8JJOXGYQf1689x9A0nNyKHbuBd5s4+OJ1ZpbPjkheDzD3lqCqePHKRfcws+rwdDmI0Fu7Po0dDEukMOVtxjweUTnMjWuOMLB0a9IMIEdg9kuyS1YqPItLtxuT0IzQd5PWSlBKHT0bFVEr06NAtm8fSY/Dtj2hq4rbmRmKgI6sSVfCIMvNbA+se4f3xcbPprnXiVj3/JVOGUziJgDDAp778LCx8ghIgB7FJKlxAiDugGvFrB51WUSnGhxdcu5HF7JcLsLS6e6Wph31mNrol6Rn+dTnh4OPbcs0y5NYxnVmxkwrDevDF7Bf0aSXo3MtKvkZM3Zq/glQlD+PXIGXbvO8hXd9p46H85TBtsY/i8DIa3MjJvt537O5ioadPj9EqyXIIhLfxNWZ7ubkZqGn1n5lAvIY6dbz1a7Mnt9jmZSAQrNu0lNd2fxRMmJXN2e5i+3Y3T66B2TRdQ8vRY/owcFdQvbxUN+JOA/woh7geOACMAhBCdgD9KKR8AWgLThBAa/lIOk6SUv1TweRWlUgTm/mfuOM2ptNzgFEtFqzQG69c0MxJj89eSiQvXcUeymb3uWjQ3HKN3YxN9fnfw2uzlfPXtRuYP81fNfKCDkeFfbuDJu2/m6SnzGZVsoEWsv1TB8v0ewvQwY7uLCJNg9i6Pv5mLgByXxKNBkxoaNSwWNB+MbmfkzY0H6ffYu3Rr27jAyQ3gREoaXkcWIwb2Debev9cXDF47XoOVR1ZS5mLyhdTNV6qX2mmrKJS8Q7ciipv39/o0MrNy+PrOMNrWDuOXFC/9ZjsZ2hxe62vGpBe4fZK/rHQiEq9l6dotTB9gJMYiSHNojPnagdsncPkkRh0I/P90OvBp4PZJYsyCiDAdQoBeQEquRnyEAa8xEqQveGJLz3Gi97l491Ybb+600btzO8xndzKooZMG+bJz9ImdSnxPyrP+oVxiaqetopSsqq5Si5veeOk/i0n75TuSYnR4vRrN4gzg87B4P6w/6gsel+GU5OzdzPhrbSRE+IiKjKBtbCSPZfiDauBq/K8dnTy0OJfIiHAMeh0nUrNx+jQcuRoJEQaceXn7z/Uw8uZOPTd16ciadRvp3eM65izbwJjWgqaxevo3FsxevQ27w8H0Defr+mDw0OJs8Z92ytNMXbm8qICvhLyL2aF7sf777Vbs2R6+P+LFq0mMej1On8StCZy+/EcKvF4fH2/1l20+m5uLj7PUrmGj/hl/tcmBTXTc0q42EzMLXlnnv+oeMuMYjSM9tI7X0yPByZxlG/j63poMm7Uek+bigWsi8EpJ/8aS6T/mUCMqnMX31imwgP3x8+NKfd8qe/1DqToq4Csh7VJdpQYyWRCg1+kQOoHDLXFgpEFCRLFZLAUC98cnOJ3l4Y4B5+vclDTmwLrEjG0nycm28/poK3a3Rr9GgsX7XESF6UgIc3F9op4aNoHD5eNcrp0BSZK1R3OIC/eX0C4rgFdk74NSPVTAV0LapbpKnblkA2dOHEGv6djwaMMyU0Dzn4hSc7yk5bh4/gYTk9ZsJtfpLnXMgRPHkKem0MbgJinOzOlsL8KucXcbI9PWpyCBT3e4+d+vPkAjxyWRQLabYF2fgJICuMrIufKogK+EtEtxlRoI3j0amArUsAd/vfmp89fw3P0DC9wn/4nozbXnGNz8fIPxyV+spWaUmX+vTi2wcSv/mFMzcti653eOWCRLD2Th8Wqk2jVqhRuoYfHw3gAr07e5mL3LTS2bDqdP0raOhb4totTC61VMZekoShULTM2s3Z9ZoIZ9oN68FhbNjtl/L3CfQIaP16eRlZ3DrCFmYiw60uySsV/bad6kEY70MyVmFRUuBfHbsRSmbspl4QEdNSIsgH9XrFXnZd5wC4t+9aAPszG6U1SlbDxTqlEpWTqqxaGiVKH8rRUXPVCfDY82pF5cBHNenkDD+Ejmjq5PDZuhSOvERW9MZOusFxg9oDsTe9SkW6t6NE1MoKZNxwMdTPy09xCv9I8JtmksLH+7xU5TUrhrEaw7YyM5KZGts15g2Xt/pl5cBLPvjCHKLBjXPozFe7IQQgSnh5Srj7rCV5QqVFIVz8IlhUuaRsmfyx+oU2Mzgsencd/1scEyzRc6BRMY122NXHi8XgCmb3MFPwGoUghXMJWHryjVo7g1An9J4TSm35wIlJ4ZFAi6gbIIs4eFk5WeSqRZcPeXWXxwRx3+eBF7B86PC86HAQPJSSrQX83UFb6iXGIXU7s/cJ9RrQV47MRadfxtpX/Dlc1sUgutynnqCl9RLh8XkxkUuM/b3+d1wNIkOiFx+9JpkBCtct+VclFX+IpyhQlM76gWgkqxVJaOolw9CpaCUBk1SvmpgK8oV5D8aZ7gX/AtKTVTUQpTAV9RriCllYJQlLKoRVtFuYKogmVKRaiAryhXEJUjr1REhaZ0hBB3CCH2CCG0vLaGJR3XTwjxqxDigBDi6Yo8p6IoinJxKjqH/zMwFPi+pAOEEHpgCtAfaAXcJYRoVcHnVRRFUS5QhaZ0pJR7AYQoMe0T4DrggJTyUN6xnwODAdXIXFEU5RK6FFk6dYFj+b4/nndbsYQQ44UQW4UQWz9cqDIPFEVRKkuZV/hCiG+BhGJ+9KyUcmFlD0hK+SHwIaB22iqKolSiMgO+lPKmCj7HCSAx3/f18m5TFEVRLqFLMaWzBWgqhGgkhDABI4FFl+B5FUVRlHwqmpY5RAhxHOgCLBFCLM+7vY4QYimAlNILTASWA3uB/0op91Rs2IqiKMqFUtUyFUVRriaqWqaiKIqiAr6iKEqIUAFfURQlRKiAryiKEiJUwFcURQkRKuAriqKECBXwFUVRQoQK+IqiKCFCBXxFUZQQoQK+oihKiFABX1EUJUSogK8oihIiVMBXFEUJESrgK4qihAgV8BVFUUKECviKoighQgV8RVGUEFHRFod3CCH2CCE0IUSnUo47LITYLYTYIYTYWpHnVBRFUS6OoYL3/xkYCkwrx7G9pZSpFXw+RVEU5SJVKOBLKfcCCFFiC0VFURTlMnGp5vAlsEIIsU0IMb60A4UQ44UQW4UQWz9cuP4SDU9RFOXqV+YVvhDiWyChmB89K6VcWM7n6S6lPCGEiAdWCiH2SSm/L+5AKeWHwIcAbHhPlvPxFUVRlDKUGfCllDdV9EmklCfy/psihPgKuA4oNuAriqIoVaPKp3SEEDYhRETga+Bm/Iu9iqIoyiVU0bTMIUKI40AXYIkQYnne7XWEEEvzDqsF/CCE2AlsBpZIKZdV5HkVRVGUCyekvIynydUcvqIoyoXp+kiJaZNqp62iKEqIUAFfURQlRKiAryiKEiJUwFcURQkRKuAriqKECBXwFUVRQoQK+IqiKCFCBXxFUZQQoQK+oihKiFABX1EUJUSogK8oihIiKtrisGrZ4qt7BIqiKFeNy7t4WhURQozPa7Ry1VOv9eqkXuvVqapfa6hO6ZTaZvEqo17r1Um91qtTlb7WUA34iqIoIUcFfEVRlBARqgE/JOYD86jXenVSr/XqVKWvNSQXbRVFUUJRqF7hK4qihBwV8BVFUUJESAZ8IcRrQoh9QohdQoivhBDR1T2mqiKEuEMIsUcIoQkhOlX3eKqCEKKfEOJXIcQBIcTT1T2eqiSEmCGESBFC/FzdY6lKQohEIcQaIcQvef//PlbdY6oqQgizEGKzEGJn3mt9saqeKyQDPrASSJZStgX2A89U83iq0s/AUOD76h5IVRBC6IEpQH+gFXCXEKJV9Y6qSn0C9KvuQVwCXuBJKWUr4Hrg4av49+oCbpRStgPaA/2EENdXxROFZMCXUq6QUnrzvv0RqFed46lKUsq9Uspfq3scVeg64ICU8pCU0g18Dgyu5jFVGSnl90BadY+jqkkpT0kpt+d9nQ3sBepW76iqhvTLyfvWmPevSrJpQjLgF3If8E11D0K5aHWBY/m+P85VGhhClRCiIXANsKl6R1J1hBB6IcQOIAVYKaWsktd6eRdPqwAhxLdAQjE/elZKuTDvmGfxf3ScfSnHVtnK81oV5UokhAgHvgT+JKXMqu7xVBUppQ9on7ee+JUQIllKWenrNFdtwJdS3lTaz4UQY4GBQB95hW9GKOu1XuVOAIn5vq+Xd5tyhRNCGPEH+9lSygXVPZ5LQUqZIYRYg3+dptIDfkhO6Qgh+gFPAYOklPbqHo9SIVuApkKIRkIIEzASWFTNY1IqSAghgP8Ae6WUb1b3eKqSEKJmIFNQCGEB+gL7quK5QjLgA5OBCGClEGKHEOKD6h5QVRFCDBFCHAe6AEuEEMure0yVKW/xfSKwHP/C3n+llHuqd1RVRwgxF9gINBdCHBdC3F/dY6oi3YB7gRvz/kZ3CCFure5BVZHawBohxC78FzArpZSLq+KJVGkFRVGUEBGqV/iKoighRwV8RVGUEKECvqIoSohQAV9RFCVEqICvKIoSIlTAVxRFCREq4CuKooSI/wdckRiyCjj6fwAAAABJRU5ErkJggg==\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "def k(a, b):\n", + " return (a*a).dot((b*b).T) # cos(0)\n", + "\n", + "X, y = make_circles(noise=0.03, )\n", + "\n", + "svc = SVC(kernel = k).fit(X, y)\n", + "\n", + "plot_decision_regions(X, y, clf = svc)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 340 + }, + "id": "AzRKi2-jaeLO", + "outputId": "6eb510b3-6132-4f72-bae2-56df13ca2b11" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/mlxtend/plotting/decision_regions.py:244: MatplotlibDeprecationWarning: Passing unsupported keyword arguments to axis() will raise a TypeError in 3.3.\n", + " ax.axis(xmin=xx.min(), xmax=xx.max(), y_min=yy.min(), y_max=yy.max())\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 34 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD7CAYAAABnoJM0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3dd3hUVfrA8e+bTgqhhBqQGoqAYEQUlSZWRLALiIgNRXHXskXkt7prWV1dXV0QFBEBBQtYFgFFFBAFVBApIkqTXkIgAUIKSeb8/phJmEymMpOZSeb9PE8eppy55+ROuO89XYwxKKWUilxRoS6AUkqp0NJAoJRSEU4DgVJKRTgNBEopFeE0ECilVITTQKCUUhHO70AgIs1FZImI/CIiG0Xkj07SiIj8V0S2ish6Ecn0N1+llFKBEROAY5QAjxhj1ohICvCjiCwyxvxil+ZKIMP2cx4wyfavUkqpEPM7EBhj9gP7bY+Pi8gmIB2wDwSDgRnGOnvtOxGpIyJNbJ91acmvWTrbTSmlfNCvQ0Px9TOBqBGUE5GWwNnA9w5vpQO77Z7vsb3mNhBszcoLYOmUUqrm69ehoc+fCVhnsYgkAx8CDxpjjvlxnFEislpEVi+b+26giqeUUsqFgNQIRCQWaxCYaYz5yEmSvUBzu+fNbK9VYoyZDEwGeGPZdm0aUkqpKhaIUUMCvAlsMsa85CLZXGCEbfTQ+cBRT/0DSimlgiMQNYILgVuBDSKy1vbaY8AZAMaY14AFwABgK5AP3B6AfJVSqkoIhtRYCwnRYL3XDS/GGApL4WhxFAb/yxeIUUPfgvuS2EYL3e9vXkopFQypsRbqJCVgkRgIw0CAMSSYEjhRSG5xtN+H05nFSinlICGa8A0CACJYJIYE/2MAoIFAKaUqEZHwDQJlRALWbKWBQCmlIpwGAqWUClOrv13MnVdfxO0DevL+lPFVlo8GAqWUCkOlpaW8+sxjPD1xJpP/9zVLP/uEndt+q5K8ArrEhFJKRZo/jriWo8cqL6aQWrs2r8z4+LSP+9uGn2hyRkuaNG8BQJ8rB7NyyUJatGl/2sd0RQOBUkr54eixY2SMmlDp9S2Tx/h13MNZB2jQOL38eVqjJvy2/ie/jumKNg0ppVSE00CglFJhqH7Dxhw6cGpJtuyD+6nfqHGV5KWBQCmlwlD7zt3Yt/N3DuzZRXHxSb7+7H+c3/fyKslL+wiUUioMRcfEcN9j/2TcvUOxlJZy2bVDaNk28B3FoIFAKaX8klq7ttOO4dTatf0+do/e/enRu7/fx/FEA4FSSvnBnyGi4UL7CJRSKsJpIFBKqQingUAppSKcBgKllIpwGgiUUirCBSQQiMhUEckSkZ9dvN9XRI6KyFrbz+OByFcppWqql/72EDf36cw91/at8rwCVSOYBlzhIc03xphutp8nA5SvUkrVSJcOvomnJ80KSl4BCQTGmGXAkUAcSymlqqOjOYd55g/DOZYbmEthl+49SUmtG5BjeRLMPoKeIrJORD4TkU5BzFcpparc4k9mYtm3jq8+fifURfFZsALBGqCFMaYrMB74xFVCERklIqtFZPWyue8GqXhKKXX6juYc5qdFc3j5umb8tGhOwGoFwRKUQGCMOWaMybM9XgDEikiai7STjTHdjTHdew8aGoziKaWUXxZ/MpOr20JGo1pc3ZZqVysISiAQkcYiIrbHPWz5Hg5G3kopVZXKagPDzkkFYNg5qdWuVhCo4aPvAiuB9iKyR0TuFJF7ReReW5IbgJ9FZB3wX2CIMcYEIm+llAqlstpA/eRYwPpvIGoFz/5lNA8NH8ieHdsY3j+Tzz+quhFEEs7X4zeWbQ/fwimlaqwmtSzE1kr2Ku2To28kd//OSq/XadKCxyfNDnTRKiguyGN/QcX7+bt7txZfj6PLUCullB+q+mIfDLrEhFJKRTgNBEop5cAYA2HcbA6AMQSqaV8DgVJKOSgshShTEr7BwBiiTAmFpYE5nPYRKKWUg6PFUXCikIRosI18DyvGGApLbeUMAA0ESinlwCDkFkdDcahLEhzaNKSUUhFOA4FSSkU4DQRKKRXhNBAopVSE00CglFIRTgOBUkpFOA0ESikV4TQQKKVUhNNAoJRSEU4DgVJKRTgNBEopFeF0rSGlqtCzY4aSl3e80uvJySmMnfBuCEqkVGUBCQQiMhUYCGQZYzo7eV+AV4ABQD4w0hizJhB5KxUq3lzk8/KO0/qu8ZXSbJ/yQJWXTylvBapGMA2YAMxw8f6VQIbt5zxgku1fpYLC1ztzvcirSBKQQGCMWSYiLd0kGQzMMNbtdL4TkToi0sQYsz8Q+Svlia8Xbb3Iq0gSrD6CdGC33fM9ttc0EChlo/0JKlTCrrNYREYBowCGP/I0vQcNDXGJlAoOrYWoUAlWINgLNLd73sz2WiXGmMnAZIA3lm0P0w1DlfJOcnKK0wt5cnKK38fWGoQKlGAFgrnAGBF5D2sn8VHtH1D+CIeLoDcX+aosi9YgVKAEavjou0BfIE1E9gBPALEAxpjXgAVYh45uxTp89PZA5KtqhtO5qPt6EfT1zjzUF3l/HD2czbiRAyu9rjUF5UqgRg25bci3jRa6PxB5qZonGHe2ni6ARQX5rP7gFeKjSgC49LwzXaZd/fZTHvOr1bQ9nfrf5FshA8RiLFpTUD4Ju85iVXO5uvPPPXSgyvI8nnuE/Lyj5c+zt28kf9NiUhITKqSzlBbzr+syaVSvdkDy/WTlZpbNGIt1LmVFh0qSaHfpsPLnIlE0aHpGlfYnKOWOBgIVNK7u/H987uaA5VFcmM9Pn71jfVxUSMKhjZzTtkH5+5m1Exlwf/+A5efKNT3bcU3Pdk7f27Inm+WbTtVQjp8oYvF8uOKqqwDIuOAqklPrVnkZlSqjgUBVa8Zi4dDK2ZiifIzFgpzMY2wP63siCaQ36O/0rrwqZOfmcc9z7zB57K3UT01ymS6jWRoZzdIqvDb8WD55BUWcLC7h2VlPIkn1McZCgy59aZ3Z2+lxXNUgxFj8+0VUxNFAoKqUfXNQTnYWe3dsASA6OprGzVv7dCxjDLmHDmAwRFPKxuevJ0qElKRE4uLiEKBtehrNG4XmbnrG/BXkHNjN9HnLefiWy3z6bN3aidStnQjAlAcuKX990oJl/PL2QgBySKXj5cOJr5VEUkqqy34PZx3FSrmjgUBVKfvmoPUTRhOfdgYARdm7ytNESZTbtvGDu7ZycMtasrf/zDkNSklKiGP8qP5c36tD0O72PcnOzWPe16uYdF0ao+et4raBF7qtFXhbexg94Ozyxxt3ZLFszZv8vDObk00zSUiuTccLBxAbF1/hM9rXoHylgUCFXGr9NJ6ZNq/S68dysvnmradpHHOcP1zSgTo9OtCgbuAuZt5ejL357Iz5KxjYNor2DeMZ2LbQY61g4pylfL9uMxPnLOFvd3p3B9+pZUM6tWyIMYbte7M5cvwAL78+loTUetTLOJd2PS8HwndYqwpfGghU0EQnJLJv2oMAFOcdoSitIVDxTjU/7zgbv3iHWnl7iTEnmXjL+SQnxjs9niPHi7OnC70/TTn2nx1x1QXM+3oVH9xk/T1GZCZx0weuawXZuXm8u3AFberCrM9XcN8N/TwGIsffpU2zBrQBZna01rCmLvqJZZO+oFnvYdRLb0lS7bpERXm371Q4TM5ToaWBQAVNp7teLH+8fcoDFWoB2ft3se27haTkbOL2Xu3p2bGnz8d3vLC7u9D72pTj7rMnCk8ysG0UacnW/05pyTEMbBvlMsBMnLOUeFPE5EHJ3DznhFe1AsfA4xjg7ri0CyP7W5i2aCFHthayZO9Jzjj/KjIye3n8fXSGstJAoELqxLFc1nw8ifqWw/z1ik5kNK88tNObJhzHi/PAXt3cXuh9bcqx5/jZGYt/JCbKMGtDVoV0TQ9udhqA3l24gju6xNI+LZpbusQy1UOtwFngcRbgoqKiuOPyrgAcPnqChT8uZ+7E+bQ673Jan9PPq9/NW1qLqFk0EKgq5arjMrFWIt9O+yeplhzGDzuP1OSzXB7DmyYcx4vzXyfMdnmhL7uwetuUY8/ZZ+dttTD7hQe9qlGU1QZu75YMwO3d4pm5Ic9trcD+d7uydT5TP1/BJ7c2cFuTqZ+axLCLuzDsYpi0YDnfTlpAy0tH0qRle6Jj/P9vr7WImkUDgfKJr3eCjq/t3baJ7SsXkG4OcMel6WQ06+o2P2+acBwvzkO7JjLx1W386y7rgreOF/qyC6u3TTn2/PkswEdLfqRfyyiy8kvJyi8FoF/LKD5c/KPTQOD4uw1oAzNXF5GW5H2+oweczahSC5MWzGHp/CM0OW8wHc7tQ1R0tMfyqsiggUD55HTvBA/u2sqmRbM4M7WQf1zWgVZNO3iVnzdNOI4XZykpYFjnGOb9ksfDDeMrXayXrtnMvqwir5pyHPnzWYAzGtfnm4OGbxbYvxrDGY3ru/3905JjKC6xEFNayC1dYpm+KpcR3VM91mTsm9XGXN2dkflFLP95LdOmLKHPnU8EpHagqj/9K1BVymKxcHDHbxz86g2m392XmBjXd6HORv1404TjeHHOyjlOaakFC7nM2lhanq7sYj33xTGn/fv489nT+bz973bsRCGUnKR2gtC09gke7lvfY63AsVktOTGey3u0p2WTQ7w4dSzRjTvovAOlgUBVnbyjOXw/7e+c37ou40b1Izra/XBGZ6N+vGmG8ffiHM7sf7dBj0xgX1Y2APuKoPur1sDnqjbirlmtffMGTL6vL5+v3kbe+efQ9sJBNG3lfG0kVfNpIFABV1JSzKqP36B4/29MvrcXtZNqefyMs4uWv80wNY2vAc+bZrUrurehbeNDzP52Gpv2XkjHi67y6thai6hZNBAoj3xZL6ik+CTLpjzBk9e2J6OZ9xdrZxetmnynX9XKAuvM65PZuucQw7rVYdgc5/0JbZs1YOyQBrz+2TqWv/4NrfoPp2nbzm6Pr0NEaxYNBMoj+w7ijVMe4fC8lwDr7OB82+zgpKRkvvtgPKkndvDPG7rSqonzzk9n/BnOqZwrC6xSUkBp8UkoLvDYn3DPlV2522LhT29Ow1hGkN6u8pBenT9QM2kgUD5xNjvYGMPKd//DrZ2i6Nyih8/r9/g7JFNVtnTNZvYcKOQ/S49Rr1YURwryaVC3Ns08NKtFRUXx4l19eXTaO+wqvZkzOp5T4X2dP1AzebcYiQcicoWI/CYiW0XkUSfvjxSRQyKy1vZzVyDyVaFnjGH5Oy9wR2YCfbu2rNDh662lazYza0MR3V/NKv+ZtaGIpWs2V2HJa7a5L45h+IALeahvQ9b9uQ0P9W3I8AEXetXcJiI8N7I38Rs/4ZvJ48ipwh3kVHjwu0YgItHAq8ClwB5glYjMNcb84pD0fWOMNvqGMV+3kjTG8M3057j/wnqc37HZaa/fo30Bgedvc5uI8H9Dzqeg6CT3vfYs7a//C/Ubp1d1sVWIBKJpqAew1RizHUBE3gMGA46BQIU5X7aSNBYLBTlZ/LF3Gt3bNQVcj1LxZ7lndXoC1dxWKz6O10b34/7Xnsdc87BXn9F+hOonEIEgHdht93wPcJ6TdNeLSG9gM/CQMWa3kzSIyChgFMDwR56m96ChASii8ofjxjHGGApysmjZMKU8CLi7A/VnuWd1egI59DY+LpaJoy/m/tf+Q0nxSY/ptR+h+glWZ/GnwLvGmCIRuQeYDlzsLKExZjIwGeCNZdtNkMqn3LDfOKa0pIRlU5/ksStb0LlV4/I0ZXegqQlRbN1ziJZNrLNeJ85ZwpLv153Wcs/q9J1uc5ur2ltcbAyTRl/M3K9WsHniKGKc7Iqmqq9ABIK9QHO7581sr5Uzxhy2ezoFeD4A+aogKykpZtmUv/PEoAw6nNGgwntld6CvfXeUgoJCatUqoHZSAiVmDSPOij2t5Z5V8LmrvcXERLPvw7/xx8mLaXjJPTRpVXG9qLImoZzsLNZPGF3+enRCYoXRZir8BGLU0CogQ0RaiUgcMASYa59ARJrYPR0EbApAvioAnh0zlHEjBzJu5MDyyWJ7d2zhwO7tFdKVFJ/k68l/46lrKgcBsN6Bfj7+TzRLS+HL0S1olpbCrGfuo15iNCMyrXeWIzKTmPf1Kg4fPRGU3035xr6z39X3FB0dxSujLmbbF9MrvVfWJNR4yNM0Hfly+U9pYX4wiq/84HeNwBhTIiJjgIVANDDVGLNRRJ4EVhtj5gJ/EJFBQAlwBBjpb74qMLyZLJacnMLyaU/z7I1nup0o5mpPAJ0fUD14u1lPdHQUvTNSWPfVHLr0vyEEJVWBFpA+AmPMAmCBw2uP2z0eC4wNRF6q6rjaSvLIwb3kLBrvNgg46yz+z39+Z2edJGZtKKqQNlLXCgpn5bWBqxK5/q3dPHtVQ+5106dz52VdmbZoAz9+8R5nXTakwnvR0dEUZe8qf16cd4TtUx7QfoQwpjOLlVvZ+3ay9eOXmDja/VaHzoYrPtSnPqSfoxf9aqDs+5u/KY+cEyeZ90seA9vGuK29jby0C+te/5LiomuJjT/Veey4/lRRWsMK+1Or8BOQmcWqZjqee4Rtn7zIpPsuJj4u1m1anR1cvS1ds5kZawuYsDyHRy6IY8LyHGasLaj0/WXn5nH9o6+V9x/cfcVZfDv9GUpLSkJRbBUgWiNQLm1Z9RXDe7cjLtb1n0nZcMO3Hr9dh4VWY3NfHMNLM7+AvT9yVWYqv+UddVqbcxxVdGaLhvztKvj3R5N0aepqTANBhHP1nzcpKRnL1m/pe6XnPXx1slj1582SFK6WEOnYoiHMXc/9T42ndt208mOWDSfNyzvOuJGn9mPWGcbhRwNBhHP1H3LVh68y8iz3fx6nu7aQCj/eLEnhblTRo9ecxQvffMq5g24vP6bOMK4+tI9AVVKYnweHt9OzYzO36SpeGKJ8WnFUhRdPfTxlQd9xTsjmXVlc/+hr1E1JJCFrPcdzD7vLRoUprRGoSlZ//Dr/Hnqu2zS6mUzN4mlJClc1hr9OmM3RrH3MmL+CoX3OZOriOfS47p5gFFkFkAaCCONpZcjD+3dTu2AvDep2cPLpU3QzmcjibBE7i8VwKPcwX96TXt40mLDse0qKTxITGxfC0ipfaSCIMJ7abTev/Jw/X9HJ43F0Y/nI4qzGUDbKyL7P4KGrz+Gp917iglsr7U+lwpgGAlWu4MRx6h37lY4tnS4MW8HcF8foPgMRzF3TYNLJbI5k7dPhpNWIBgJVrjD/BI3rer6glwWAbhnNdOhohHLXNPjP4b3440cfOB2RVtY0aT+cFHRIaahpIFDl1s15mf+OyPSYbsb8FRzZv4tZ23bxya0NdOhoBHLXNHjfDf0Qcf45HVIanjQQqHINk2M8XszLmgSe6p/ImLk5pCVpJ3EkcjfKqKSklGP7d1B8sohYhw1sVHjSQBBhXLXbRltOcnYLz223M+av4MrW0CCuiFu6xDJ9VS4juqfq0FFVLiYmmtsvSmfppnW069oj1MVRXtAJZRHAfvMZ+6GjyckpPDNtHs9Mm8fAS3sz4uLObo9TVhsY0AZSE4Tbu8Uzb+MxREQnlEUQx4XnnEmIjQ5iiZS/tEYQAQLVLlvWQRhHEUcKLAB0bQTnjt9DvZRaOnQ0QnizvlTTtFSyvlmpNYJqQgOB8tqpDkI49acTQ+c2aae9WbqqXrxdX6pjy8Y0+HIxJSXFxMScWsJch5SGJw0Eymt6sVfebmcJkOBkDwsdIhqeAhIIROQK4BWsexZPMcY85/B+PDADOAc4DNxsjNkRiLyVbzZOeaR8M/HivCOMGzkQi6UUThzhjdvPDnHpVDhzN4nMGOPz5EJPy52o4PE7EIhINPAqcCmwB1glInONMb/YJbsTyDHGtBWRIcC/gJv9zVv5rrQwn6YjXwagKHsX6S0zyF71KUWr57j9nM4iVu4mkQE+Ty7UOQXhIxA1gh7AVmPMdgAReQ8YDNgHgsHA322P5wATRESMMSYA+SsP7Ntli/OOlG8sHh1tG9lhDOJqBpCNbkCjXE0ia7B3E0UFebovRTUWiECQDuy2e74HOM9VGmNMiYgcBeoD2Y4HE5FRwCiA4Y88Te9BQwNQxMhmX80eN3Ig6S0zfPq8bkCjwHUfkbPF5/RmoXoJu3kExpjJxpjuxpjuGgTCg25Ao1xxtWGNuzkGKvwEIhDsBZrbPW9me81pGhGJAVKxdhqrMFC7/QXkHstz+p7+R1fueOo3UNVDIJqGVgEZItIK6wV/CDDMIc1c4DZgJXADsFj7B0LD1Tju+IQEp+knzllKbk4uIrUB3YBGVeRu8bmzunZ1+1mdUxA+JBDXYxEZALyMdfjoVGPMMyLyJLDaGDNXRBKAt4GzgSPAkLLOZXfeWLZdg0WQ/PD2006Hj3a75R9EFeWSWxJHvZRa5a83baiTyJR746Yvo9nNT1eYUKaq3t29W7sf+eFEQOYRGGMWAAscXnvc7nEhcGMg8lLBk52bR72kGCbdfAaj5+Uz+4UHtZNYAZ6HE+86cITf82vRIlrnrFYH+i0pl7ydRapzDCKPp+HEW/YcIr3HgErDknUSWXjSQFCD+fKfLq5ecxat2c6lma0B97NIHS/2OscgsvgznFgnkYUnDQQ1mC//6bpddRufTn+sPBC4Gw1if7HXOQaRx5ua4rGCYiQpqtLNSE52FusnjCY6IZFOd70Y7KIrFzQQqHLRUadGE7sbDWL/n96XRchU9Zadm8fIp6Zx/GguHw6xjiJzVlMsKSnl7e8PcvkDZ1e6Gdm7YwvxaWewb9qDIfkdlHMaCCLIgd3bKS0tJSc7q8Lm4WVNRYcKhL2HcklvUMerEUG+NB+p6m/G/BVs276TG7vUcltTLC4tpU7jM4iK1s1pqouwm1msqk5paSnxaWcQm1yP1neNL/8pq7pn3vQgU77Y4PXxdDJR5CgL+um1o3hr9XEyxx+k+6tZdH81i1kbili6ZnN52mdmr6JF90tCWFrlK60RqHIpdeqzpqgev+87TKum9T2m97b5SFV/ZUH/4d4teGnZUUg/x+V3fLg4gcy2zrc9jY6Opih7F8V5Ryr0VekkstDSQFCDOc7czMnOIja5HtEJiS4/06BdJodyN3sVCHRCWWTwpQlw/fYDFMfVdnmsxs2tgxGK0hryzLR5VVdo5RMNBDWY4xDRcSMHOh1FZK9pxlm88cE8epzZwqs8dA5BzVX23XbLaObVCDKASQs3cu6d/y5/rstIVA8aCFQFdeo3pKRuK3YeOEKLxvU8ptc5BDVX2Xf74e6DxEQZj02AS9b+jknPJMpu9JlOEqseNBBEEG/vzs697l6eeuv/mHJ/X7fH0zkENVfF79bz8iIWi4X3v91Ch2H/qPSeziYOfxoIIoi3/+li4+KJS+/Ep99t4erzXW9io3MIai5fv9tfdx6EFueRVLtOpfd0NnH40+GjyqmzB47kkx3x/LjZcWsJK8d9CoZ2TeT1OYvYsjvLaXpVfZR9t0O7JrJ1zyGGdUt0uwdFdm4eT32ykY69rg5ySVWgaCBQLrXvfQ2zvv4VZ0uVO84hkJICBraBv4yfHexiqgAr+26lpIDS4pNQXOB2fsjj762i5x1PkqgdwNWWNg0pl+o2bMKvKRnsyz5KeoOKVX77OQQWi+FQzjHq1YriSOHvHD56QvsKqrGlazaz50Ah/1lq+04L8mlQtzbNnMwPWb5xN0UpzamVpEGgOtNAEKHsO/ByDx3AiLVyGCVRpNZPA6ydefc/OZ5H336Kiff0JiXp1C5m9nMIyjYvf7h3Ki8tO6p9BdXc3BfHVPpOnU0g27bnEBNX5NBn5KOA607ho4ezg1Judfo0EEQo+w689RNG03TkywAUZe8ivaW1g3j7lAeoXS+Ns0c8zr2Tn2Li3ReRmlyrwnHsJxsVl1i4qEkhf17yg44gqsa8nUD23je/0a7fHeV7DrjqFF7z7I06lyDM+RUIRKQe8D7QEtgB3GSMyXGSrhQoW8RmlzFmkD/5quBKqVOf7iOeYPTkvzP53j4kJ8aXv2ffV3Dg8DFSY0ro09RoraAa82YJ8hc+/IHc5v1o19L1qLIydRo01lnEYc7fzuJHga+MMRnAV7bnzhQYY7rZfjQIVEPJqXVpfN4glq3/vcLrS9dsZtaGIjLHH+TcVw9y05xC3lp9nEU/bHJ7vOzcPK5/9DWXI1FU1XJ3/su+07JF5RwXlnv2/ZUcbtqHdudroK8p/G0aGgz0tT2eDiwF/urnMVWYan9uP2ZN/460Onvp0SEdONVXULlNuaPbY+mM5NByd/5drSFljOHJd5dT0PZK2pzdKxjFVEHib42gkTFmv+3xAaCRi3QJIrJaRL4TkWv8zFOFSFRUFL1HPsb45UdY8cvu8tcd5xSMyEzyOO68bNaqu3QqcOxrAKdz/o0xPP7OtxS2u5rWGgRqHI81AhH5Emjs5K1x9k+MMUZEKg84t2phjNkrIq2BxSKywRizzUV+o4BRAMMfeZreg4Z6KqI6DfbLTZQcz2bnhBGAddRQkd2oIUciQq8Rf+X1mf+muHQXfbqc4fW2lmV0RnJwZefmcdkDL5NEfvlcAF/OvzGGx6Z/Q1S362nVuYfLdLrAXPUlziYLef1hkd+AvsaY/SLSBFhqjGnv4TPTgHnGmDmejv/Gsu2nXzhVpYwxrHzvZYZ3ieWVt+ezL6vyEMGmDdMqNTNk5+Zx019e4YObUkhLjiE7r4SbPjjucS0bdfqeenMen3y2mMs6pPDNvhiio4QPh9T26vxbLBb+8tYyEs8bSvMOmSEovfLV3b1bi6+f8bePYC5wG/Cc7d//OSYQkbpAvjGmSETSgAuB5/3MV4WYiNBzyIPMmvMq9w29kiu6t/Hqc+5qDyOuukCXtA6w7Nw8Ply0kgkDavH4knzqxMeS2TTGq9qbxWLhkTe/JvXCEaS3O6vSsXUxuZrD30DwHPCBiNwJ7ARuAhCR7sC9xpi7gI7A6yJiwdon8Zwx5hc/81VhQEQ4/8YxzPvsbd55ZTGPX9eZds0buv2Mu13NAO1ADrBJHy6lf/NizmuWyMAMC2+tLWLdvgLmbROiok7dODouKV1aauGhKUtI63c3TVo77/jXxeRqDr8CgTHmMNDfycgQks4AABAkSURBVOurgbtsj1cAXfzJR4WON3d9Xa+8ldKSofz9zb/zfwMNZ7ZwNWbA9YiUsiYjXdI6cMpqAzMHxREbJYzoGse8LSXclFmPpFbnugy2C1dv5cOV22l+5f00btkuyKVWoaAzi5Vb3t71RcfE0Oeuf/D01KcYezl0ae06GDijHciBN2P+Ci5tUYpIDL8cKgagayN4a/UxOuc431f6hQ9/YHdqJmfecpvTJaVVzaSBQHlt45RHKC3MB6A47wjjRg4ETtUOoqKj6XPn47wyZwKW+Rt5/tYepNVJ9nhcX/bEVd6zNsMlsGSf/asxdG5TuRP/2IkCxn+6lmMt+9Ole7+gllOFngYC5bXSwnyXaxKViYqK4ryb/kDBieOMefMJbuzemEEXdCA2JtrlcX0dfqq846oZztGHy39lzoZ8Mi68jrYddWRQJNJAoKpEraQUet3zT77/dT2fTZrJq/f0Iz4u1mladx3IZYGgbCN1HVF0ir/nZN22/byxaBOWpl25+K4RPn9e5w3UHBoIVJWJi08go2sPDjdswt1vvk6HNOGhQZnUio+rkM6bO1d/lqSoqUHkdM/JoZzjjJ35A9Rrwbl3vMC//nALcz74oFI6T8NAdYhozaGBQLllf9dXnHeEouxdAERHu27qcVS/SXN63f00u39dw+1TP+W8hiUM7plB66b1vfp8xY3Ufe87cHfBrK5B4nTOSfd7JrDnUC55BUUk1G1EVNRm5i5YRO6hA2SOrbyznA4DjRy6VaVya+yEd3lm2jyemTaPumkNSW+ZQXrLDBo3b+3zsZp3yKT/3U9wrOsIHp+3k79MXcqhnMpDUx1VHFHkestEZzytq2MfJMKFNyuz+nJOjDG8tuAnft15gHoD/8KZD8+i7aiJtL5rPK3vGl++KZGKXPoXoLxWVjtw/PG1Tbhpywz63PE3mt/wBH+a/RuPvPk1hUXFTtP6uqCdI3cXTFdBIphLZDvLy1Nw8vacWCwWZi/bxB2TlrO70cUkpqVTu3U3omLjnR1WRTBtGlJe87ZN2NulBxISk7nojifI3r+LO2e8Q8u4XG7p3Y4zWzUpT+PPiCJPw1JdzV0I5hLZjnl50+Tj7pz84eb+fLt+O4ePFzJr9SHOyOzHBaMGVunvoKo/DQQq4HxdeiCtyRn0vf0xsvbs4IWVn5Gy8EtGXd6Fzq0aeRxR5K6N39O6Rs6CxMBe3fzqj/CFs4u+NxPrXJ2T0o0/snpvMQ0uuIGE2rW57IFMoqK00q8800CgQsJdreGvr7zDS+//h8SlO+l0Vjc+uqUnMS7mIbi7e/e0rpGzIPHXCbN9nuFsH4yMMV53Pjte9F+dvYSlP6zzOLHOfpTVb7sP8cLcjUTHxVG3c3/anHux2zydiZIoHQYa4TQQqJBwV2uIio6m57A/AXBw9zbumD6b/GM5XN0phYwmqXTLaEZiQpzHZhR3w1IHPTKhUpAoKbVQkH+ENy5rDng/w9mxTd+bZiVnzVa9Xl/BHecku20G27H/MPuyj2KxGF77aivxTTtw7p3PEh3j+b+yq3H/6S1a6VDQCKeBQIW1Rs3b0Og261bYm37+kbXHjvHfCR/RoUkyO3fuOu31iZwFibLtNn3pj7APRqP+9wMWY5jiRbOSs2areE7yxg/HeH/jyYrnYP+vFMemkJtfxK6S+jTq1BMDnHv7SBJTanv1+4KO+1euaSBQYctV81FSUjJnD3uMZQ9dR0prw/8tzCG/qJQ1m3/wq03fmxnOjuybd/qk57DhYCntG9b3GJic5RWTkEwH22Y+P23ZZ73jj48n50QRlp730rxeA1rHez/iR/cLUN7SQKACLlBLD7hrPlr71ScMPyeFMb2s22ruySnip9k7uPKJD2nRvCl39WpOg9TE8s+0bFKPerXdBwhv1+YpY9+8U1xiYUCrUr7eVsThE6Uem5XmvjgGYwzrtuzFYtsl8POfdrPpWAIjp64nLiWNc+541q/OXt0vQHlLA4EKuGDcbW75aTk/ZRXy/vo9ABw9ko0xhqL9v/D7oTy+WL4GMYaEWrUYcs/DHPj8K7o2iUPk1GYsKQkx3Dsgk+jo07vY2jfvHDh8jJZ1oxncPpbpq3J5uG/9Cs1KX2/YxcpfKywDytZ9ucS160NcojVA1jm7N73bnOk2T73LV1VBA4EKCX9rDfc8/06F5+NGDnR599vpwsvpeP4lFOZXnHCVdXA3t098i7rJtTzmF2Mp4qlbepKYcGqdpLcXrWH/oWM8//Ux8gsLMBbrnb2hgOe/sS7XnZi8ih1FKZys04qOl/y5wjHPjosjLj6hUl7uLvZ6l6+qggYCFRLBvnuNio6u1LGamNKJZm3/7dXnjx4+xL3vTCbGbnvH/neO46OZ08nLO47j5TzRjzt0vdirYPMrEIjIjcDfse5L3MO2RaWzdFcArwDRwBRjzHP+5KtUIHnT3JJavwG9Ro6rlCbv9QleXbS1SUeFM39rBD8D1wGvu0ogItHAq8ClwB5glYjM1Q3slSfBWu8+GHfgobjL1/0ClLf83bx+E1ChA86JHsBWY8x2W9r3gMGABgLlVqDvlF3dlR89nB3QfMKF1jSUt4LRR5AO7LZ7vgc4Lwj5qgjizd2vq7vyH5+7uUrLFkh6l6+qgsdAICJfAo2dvDXOGPO/QBdIREYBowCGP/I0vQcNDXQWqgaqSXe/7i72Nen3VOHDYyAwxlziZx57geZ2z5vZXnOV32RgMsAby7YbP/NWqkpVxR26XuxVsAWjaWgVkCEirbAGgCHAsCDkq5RXxFhO+2Lu7UVbm3RUOPN3+Oi1wHigATBfRNYaYy4XkaZYh4kOMMaUiMgYYCHW4aNTjTEb/S65UgFSp0Fjnpk2r0rz0Lt8Fc78HTX0MfCxk9f3AQPsni8AFviTl1L+0rtypZzTmcUqYuhduVLO6T52SikV4TQQKKVUhNNAoJRSEU4DgVJKRTgNBEopFeE0ECilVITTQKCUUhFOA4FSSkU4DQRKKRXhNBAopVSE00CglFIRTgOBUkpFOA0ESikV4TQQKKVUhNNAoJRSEU4DgVJKRTgNBEopFeH8CgQicqOIbBQRi4h0d5Nuh4hsEJG1IrLanzyVUkoFlr9bVf4MXAe87kXafsaYbD/zU0opFWD+bl6/CUBEAlMapZRSQResPgIDfCEiP4rIqCDlqZRSygseA4GIfCkiPzv5GexDPhcZYzKBK4H7RaS3m/xGichqEVm9bO67PmShlFLqdHhsGjLGXOJvJsaYvbZ/s0TkY6AHsMxF2snAZIA3lm03/uatlFLKvSpvGhKRJBFJKXsMXIa1k1kppVQY8Hf46LUisgfoCcwXkYW215uKyAJbskbAtyKyDvgBmG+M+dyffJVSSgWOv6OGPgY+dvL6PmCA7fF2oKs/+SillKo6OrNYKaUinAYCpZSKcBoIlFIqwmkgUEqpCKeBQCmlIpwGAqWUinAaCJRSKsJpIFBKqQingUAppSKcBgKllIpwGgiUUirCaSBQSqkIp4FAKaUinAYCpZSKcBoIlFIqwmkgUEqpCKeBQCmlIpwGAqWUinD+7ln8goj8KiLrReRjEanjIt0VIvKbiGwVkUf9yVMppVRg+VsjWAR0NsacBWwGxjomEJFo4FXgSuBMYKiInOlnvkoppQLEr0BgjPnCGFNie/od0MxJsh7AVmPMdmPMSeA9YLA/+SqllAqcQPYR3AF85uT1dGC33fM9tteUUkqFgRhPCUTkS6Cxk7fGGWP+Z0szDigBZvpbIBEZBYwCuHfcc1x2/S3+HlIppZQ7xhi/foCRwEog0cX7PYGFds/HAmO9PPYof8tX1T/VoYzVpZzVoYxazsgrY3Uppz9l9HfU0BXAX4BBxph8F8lWARki0kpE4oAhwFwvsxjlT/mCpDqUEapHOatDGUHLGUjVoYxQPcp52mX0t49gApACLBKRtSLyGoCINBWRBQDG2pk8BlgIbAI+MMZs9DNfpZRSAeKxj8AdY0xbF6/vAwbYPV8ALPAnL6WUUlUj3GcWTw51AbxQHcoI1aOc1aGMoOUMpOpQRqge5TztMoqtk0EppVSECvcagVJKqSoWVoGgOqxdJCI3ishGEbGISHc36XaIyAZbJ/rqYJbRlr+35QzluawnIotEZIvt37ou0pXazuNaEfF2xFkgyuf23IhIvIi8b3v/exFpGayy+VDGkSJyyO783RWCMk4VkSwR+dnF+yIi/7X9DutFJDPYZbSVw1M5+4rIUbtz+XgIythcRJaIyC+2/99/dJLG9/MZ6rGvDuNgLwNibI//BfzLSZpoYBvQGogD1gFnBrGMHYH2wFKgu5t0O4C0EJ5Lj+UMg3P5PPCo7fGjzr5v23t5ITh/Hs8NcB/wmu3xEOD9MCzjSGBCKP4G7crQG8gEfnbx/gCsqxIIcD7wfZiWsy8wL8TnsgmQaXucgnWNN8fv3OfzGVY1AlMN1i4yxmwyxvwWrPxOl5flDPU6UIOB6bbH04Frgpi3J96cG/vyzwH6i4iEWRlDzhizDDjiJslgYIax+g6oIyJNglO6U7woZ8gZY/YbY9bYHh/HOiTfccken89nWAUCB9V97SIDfCEiP9qWzQhHoT6XjYwx+22PDwCNXKRLEJHVIvKdiAQrWHhzbsrT2G5gjgL1g1I6h/xtXH1/19uaCOaISPPgFM0nof479EVPEVknIp+JSKdQFsTWFHk28L3DWz6fT7/mEZyOYK9ddDq8KaMXLjLG7BWRhlgn3P1qu+MImACVs0q5K6P9E2OMERFXQ9ha2M5la2CxiGwwxmwLdFlrqE+Bd40xRSJyD9YazMUhLlN1tQbr32KeiAwAPgEyQlEQEUkGPgQeNMYc8/d4QQ8ExphL3L0vIiOBgUB/Y2vwcrAXsL+raWZ7LWA8ldHLY+y1/ZslIh9jrcYHNBAEoJwhPZciclBEmhhj9tuqrlkujlF2LreLyFKsd0FVHQi8OTdlafaISAyQChyu4nI5y79MpTIaY+zLMwVrv0y4qfK/w0Cwv+AaYxaIyEQRSTPGZAezHCISizUIzDTGfOQkic/nM6yahqTq1y4KChFJEpGUssdYO8GdjkQIsVCfy7nAbbbHtwGVajEiUldE4m2P04ALgV+CUDZvzo19+W8AFru4eQlZGR3ahgdhbVMON3OBEbbRLucDR+2aDMOGiDQu6wMSkR5Yr5/BDPzY8n8T2GSMeclFMt/PZyh7wJ30iG/F2ra11vZTNiKjKbDAoVd8M9a7wnFBLuO1WNvcioCD2FZWtS8j1lEc62w/G4NdRm/LGQbnsj7wFbAF+BKoZ3u9OzDF9vgCYIPtXG4A7gxi+SqdG+BJrDcqAAnAbNvf7Q9A6xB8z57K+Kztb3AdsAToEIIyvgvsB4ptf5N3AvcC99reF6y7GG6zfccuR+OFuJxj7M7ld8AFISjjRVj7H9fbXScH+Hs+dWaxUkpFuLBqGlJKKRV8GgiUUirCaSBQSqkIp4FAKaUinAYCpZSKcBoIlFIqwmkgUEqpCKeBQCmlItz/A3GzzsZ3BPvDAAAAAElFTkSuQmCC\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file