plotting_graphs.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = [i for i in range(10)]\n",
    "y = [2*i for i in range(10)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\n",
      "[0, 2, 4, 6, 8, 10, 12, 14, 16, 18]\n"
     ]
    }
   ],
   "source": [
    "print(x)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'y - axis')"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel(\"x - axis\")\n",
    "plt.ylabel(\"y - axis\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1107e3b50>]"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1107b5a10>"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try plotting a sine wave"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.arange(0, 4*np.pi, 0.1)\n",
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1108cc290>]"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JKzakqog/GOe6wnWIwObDVXKHQzRsJbXN2F9qhlolYFGm/3wXb3W1bth2vBY11g6ZoyEaOiY4AeZUXQuKypwn1Zsz/OekCgDfme7stPzJASY45P/+WeC80LhyQjwSIpXZpqEvY+MjMGtUNBwisOkgv4vkv5jgBJgPCp2Ti6WxdH9yg6td/N5zjaiytMscDdHQiaLobpjnD/Pg/tuNru/ipwfZ9I/8FxOcACKKIj7c7zwhfdePhqckyVGhmD0qGqLonJxJ5K8OlltQYW5HaIgaV01MkDucQbtuWhIEASgsNaPSzIsN8k9McALIAddJNVyrRs4k5TYU68+Nrg1BWRonf/bZIefv79WTEhCqVW7vm4tJNOgxZ1QMgJ73QuRvfJLgrF+/HmlpadDr9cjKykJ+fv5Fj73yyishCMIFtxtuuMF9zF133XXBzxcuXOiLt6Jo/3adiK5KT1B0Q7H+XDfNBJUAFJWZUdbIrRvI/4iiiE9d38UbpiXJHM3QSUPGnzLBIT/l9QTn3XffxerVq/Hoo4+isLAQM2bMQG5uLmpr++6x8MEHH6Cqqsp9O3z4MNRqNW699dZexy1cuLDXcf/4xz+8/VYUTRRF/NvVUOx6Pz6pJkTqcdmYWACs4pB/OlRhQXmT/w5PSa6baoIgAPtLzajgMBX5Ia8nOM899xxWrFiBZcuWYfLkydiwYQPCwsLw2muv9Xl8TEwMTCaT+7ZlyxaEhYVdkODodLpex0VHR3v7rSjakUorShvboA9R4cqJ8XKHMyw9q6k4wZH8j1TxuDrdP4enJAkGPeakOYep/s0qDvkhryY4nZ2dKCgoQE5OTs8LqlTIyclBXl7egJ7j1VdfxeLFixEeHt7r/u3btyMhIQETJ07Evffei4aGhos+h81mg9Vq7XULNFI7+CsmxCNMq5E5muFZONUEjUrA0SorTtW1yB0O0YCJouies+LPlVTJd1zDVKymkj/yaoJTX18Pu92OxMTeE14TExNRXV19ycfn5+fj8OHDuPvuu3vdv3DhQrz55pvYunUrnnrqKezYsQPXXXcd7HZ7n8+zbt06GI1G9y01Vfl7wgyGKIr47HDgnFRjwrVY4NogdBN74pAfOVxhRVljO/QhKlyV7t+VVMB5sSG45sSVN3FOHPkXRa+ievXVVzFt2jTMnTu31/2LFy/GTTfdhGnTpmHRokXYtGkT9u7di+3bt/f5PGvWrIHFYnHfysoCqwX5ydoWnK5rhVatwtXp/jvmfz5pcubnRy6dCBMpxfnDU/5eSQWcc+KyRkvDVPwukn/xaoITFxcHtVqNmpqaXvfX1NTAZDL1+9jW1la88847WL58+SVfZ8yYMYiLi0NJSUmfP9fpdDAYDL1ugUQ68SwYH4dIfYjM0XjG1ekJUAnA0SorJziSX3BO9HcmONdN9f9KqkS62NjEeTjkZ7ya4Gi1WsyaNQtbt2513+dwOLB161ZkZ2f3+9j3338fNpsNd9555yVfp7y8HA0NDUhKCpyTymD0nFT7Txr9SWyEDrNGOSeOf3m05hJHE8nvaJUV5xraoNMETiUVAHJd55UDZWbuTUV+xetDVKtXr8bLL7+MN954A8XFxbj33nvR2tqKZcuWAQCWLl2KNWvWXPC4V199FYsWLUJsbGyv+1taWvDAAw9g9+7dOHv2LLZu3Yqbb74Z48aNQ25urrffjuKcqW/FsepmaFQCvj3ZP5v7XYz0fr4sZoJDyrfFlYhfMSEe4Tr/H56SJETqMSM1CgDw1bG+23sQKZHXE5zbb78dzzzzDNauXYuMjAwUFRVh8+bN7onHpaWlqKrqXfo8fvw4vv766z6Hp9RqNQ4ePIibbroJEyZMwPLlyzFr1iz85z//gU7nX3sveYK0eip7bCyiwrQyR+NZUjfm3acbYO3okjkaov5Jf/z9tYt4f3JcFamtvNggP+KTy4xVq1Zh1apVff6sr4nBEydOhCiKfR4fGhqKzz//3JPh+TXphHPtlMAZnpKMiY/AmPhwnK5rxc4Tde7+OERKU2vtwMFyCwDgygBYPfXfrpmUiGe3nMDXJfXo6LL7bad0Ci6KXkVF/Wtq7URhaRMABNSY//mkYaotnIdDCiZVb2akRiEhUi9zNJ43KSkSyUY9Oroc2FVSL3c4RAPCBMeP7TxZB4cITEyMxIioULnD8Ypvu8r9247VosvukDkaor5tdSU41wTohYYgCLhmkjQnjvNwyD8wwfFj0lXj1ZMC86QKAJkjoxEbroW1oxt7zzbKHQ7RBTq67Pj6pLOqEaiVVAC4xnWe+epYzUWnEBApCRMcP9Vtd2DHiToAgX1SVasE9/v78iivHEl58k43oL3LDpNBjynJgdVj63yXjYlFmFaNGqsNhysCb7sbCjxMcPzU/jIzzG1dMIaGINO1hDNQ5UjzcIqreeVIivNVcU8lVRAEmaPxHn2IGpe7tlBh6wbyB0xw/JQ0PHXFhHho1IH9v/Hy8XHQalQoa2zHiRpuvknKIYqieyVjTgAPFUukeThbjzHBIeUL7L+MAWybNP8mgIenJGFaDeaNdTZ83H6cw1SkHMeqm1Fp6YA+RIV5Y+PkDsfrrpqYAEFwbipabWFXY1I2Jjh+qMLcjmPVzVAJzgpOMJDe586TdTJHQtRDqt7MHxsXFL1h4iN1mJESBYBVHFI+Jjh+SKrezBwZjejwwOpefDHfciU4e880oa2zW+ZoiJzcy8MDsHvxxUhL4Xcc58UGKRsTHD8kJThXBcHwlGRMXDhSokPRaXdg9+kGucMhgrmtEwfKzACAqwKwe/HFSBcbeaca2JuKFI0Jjp/p6LJj16nA77nx3wRBcJ9Yd55gJ1WS3zenGuAQgfEJEUgyBmajzb5MHWFEVFgImm3d7gSPSImY4PiZ/DON6OhywGTQI90UKXc4PvWt8c4ER+r/QySn/7jmg10+PniqN4CzN9WCcc4J1Tv5XSQFY4LjZ7527QNz+fi4gO650Zd542KhUQk4U9+KssY2ucOhICaKoruSePmEwF899d+ki42dJ1lNJeViguNn/uM6oSwYH3wnVYM+BDNHRgNgFYfkdaa+FRXmdmjVKmSNjpE7HJ+TkrqD5WaY2zpljoaob0xw/Ehdsw3FVc4W6fPHBV+CAwDfcp1YmeCQnKQLjdlp0QjTamSOxveSjKEYnxABhwjsKuGkf1ImJjh+5BvX5OLJSQbERehkjkYeV0xwTqzmCg6SU7DOvzmf9N7/w95UpFBMcPyIdNV4eRAOT0mmJBsQG65Fi60bheea5A6HglBntwN5p5xVi2D+LkrV1J0n6rhHHCkSExw/IYoivg7i+TcSlUpw/1HhMBXJYX9pE1o77YgN12JyUuDuHn4pWaNjodWoUGnpwKm6VrnDIboAExw/caquBdXWDmg1KsxJC75Jjef7FrdtIBmdP9FfpQqulYznC9WqMdd1LuJycVIiJjh+Qjqpzk2LCYo9b/ojVbCOVFrR1MoVHORb/3G3agje+TcSqZrKeTikRExw/ASHp3okROoxPiECogjsOcMVHOQ75rZOHCw3Awju+TcSKcnbfboRtm67zNEQ9cYExw90dvfsv7QgSJeH/7d5Y2MBONvlE/nKrpIGiCIwMTESiQa93OHIblJSJOIidGjvsmN/qVnucIh6YYLjBzip8ULZY52JHhMc8iWpkzgrqU6CICDbdbGRx+8iKQwTHD8gnVTnjwvuSY3nyx4TC0EASmpbUGPtkDscChJSJVWqIJLzuwgwwSHlYYLjB9xXjRyecjOGhWBqshEAT6zkG1WWdpypb4VKAOYE4fYMFyMle/vLmtDeyXk4pBxMcBSu1daNg+UWAHCXgsmpZx4ON/wj75MS6WkjjDDoQ2SORjlGxYYh2ahHl13EvnONcodD5MYER+H2nm2E3SEiJToUqTFhcoejKNmcaEw+JCU4l/FCoxdBENyfCauppCRMcBRu92nnFZE0zk095qTFQKMSUN7UjrLGNrnDoQCX55p/w+/iheZx0j8pEBMchZMmNV7Gk+oFwnUaZI6MAsBhKvKussY2lDe1Q6MSgr6TeF+kauqhCguaO7pkjobIiQmOgrXYunGowjn/hmXxvknLxXeV8MqRvEeq3kxPMSJcp5E5GuUZERWKUbFhsDtE7D3LeTikDExwFEyafzMyJgwjokLlDkeRzm/4xx2NyVukuSXSUAxdiMvFSWl8kuCsX78eaWlp0Ov1yMrKQn5+/kWPff311yEIQq+bXt+7Y6goili7di2SkpIQGhqKnJwcnDx50ttvw+d2n+KY/6VkjoyCTqNCfYsNJbUtcodDAUgURfcfba5kvDhO+iel8XqC8+6772L16tV49NFHUVhYiBkzZiA3Nxe1tbUXfYzBYEBVVZX7du7cuV4/f/rpp/H8889jw4YN2LNnD8LDw5Gbm4uOjsBq+OaefzOWY/4Xo9Oo3XMidpVwHg553tmGNlRbO6BVqzBrVLTc4SiWdCF2tMoKcxs3wSX5eT3Bee6557BixQosW7YMkydPxoYNGxAWFobXXnvtoo8RBAEmk8l9S0xMdP9MFEX88Y9/xK9//WvcfPPNmD59Ot58801UVlbiww8/9Pbb8RlrR1fP/BtWcPolXTnmc+yfvECq3mSMjII+RC1zNMqVYNBjnGsTXGn1J5GcvJrgdHZ2oqCgADk5OT0vqFIhJycHeXl5F31cS0sLRo0ahdTUVNx88804cuSI+2dnzpxBdXV1r+c0Go3Iysq66HPabDZYrdZeN6Xbd7YRDhFIiw1DkpHzb/oz19VVNv9MI+fhkMdxefjASZ+RVH0mkpNXE5z6+nrY7fZeFRgASExMRHV1dZ+PmThxIl577TV89NFH+Pvf/w6Hw4F58+ahvLwcANyPG8xzrlu3Dkaj0X1LTU0d7lvzOndTMZ5UL2l6itE1D6cTp+pa5Q6HAgjn3wyO9BkxwSElUNwqquzsbCxduhQZGRm44oor8MEHHyA+Ph5/+ctfhvyca9asgcVicd/Kyso8GLF3uBv88aR6STqN2t0PJ/8MS+PkOafqWlHfYoNOo3L/jtHFSdXU4zXNnIdDsvNqghMXFwe1Wo2amppe99fU1MBkMg3oOUJCQpCZmYmSkhIAcD9uMM+p0+lgMBh63ZTM0t6FI5WcfzMYc0e75uGc4ZUjeY6UMDtX63H+zaXERegwNj4cogjsO9skdzgU5Lya4Gi1WsyaNQtbt2513+dwOLB161ZkZ2cP6DnsdjsOHTqEpKQkAMDo0aNhMpl6PafVasWePXsG/JxKt/eMc/7NmLhwJBr0l34A4TLXleMezsMhD5IS5rnsXjxg7osNTvonmXl9iGr16tV4+eWX8cYbb6C4uBj33nsvWltbsWzZMgDA0qVLsWbNGvfxv/3tb/HFF1/g9OnTKCwsxJ133olz587h7rvvBuBcYXXffffhiSeewMcff4xDhw5h6dKlSE5OxqJFi7z9dnxCOjFkjeFJdaAyR0YjRC2gytKB8qZ2ucOhALHXVYWQ/mjTpWWdd7FBJCev9xy//fbbUVdXh7Vr16K6uhoZGRnYvHmze5JwaWkpVKqePKupqQkrVqxAdXU1oqOjMWvWLHzzzTeYPHmy+5gHH3wQra2tuOeee2A2m7FgwQJs3rz5goaA/koqi3PPm4EL1aoxPSUKBeeasOdMI3dep2Erb2pDhdm5/9TMUVFyh+M35rgSnMMVFrTaurm1BclGEIOwnm+1WmE0GmGxWBQ3H6etsxvTf/MFuh0i/vPgVfxDPQhPbT6GF7efwq2zUvCHW2fIHQ75uY37y/GLdw9gRmoUPlo5X+5w/Mr833+FCnM7/rZ8Li4fHy93OBRABvP3W3GrqIJdUakZ3Q4RSUY9UqLZ/2Yw3P1wOPZPHiBVUqUhFxq4rPN6UxHJhQmOwkh/nOekxUAQBJmj8S+zR0VDJQDnGtpQbQmsbTvI9zhUPHRzmeCQAjDBUZi9UoLDq8ZBi9SHYEqyEQCwh8vFaRjqW2zuppFz0rj/1GBJCc7+MjNs3XaZo6FgxQRHQbrsDhSeMwPgstShYmmcPGGf60JjYmIkosK0Mkfjf0bHhSMuQofObgcOllvkDoeCFBMcBTlSaUV7lx3G0BCMT4iQOxy/xNI4eYK0xHkuK6lDIggC5o52Vr74XSS5MMFRkL3uMf9oqFScfzMU0nyJk7UtaGixyRwN+StpqJgJztBJVWj2wyG5MMFRkPMnGNPQRIdrMSHRWf0qOMdW8TR41o4uHK20AmCCMxxSc8SCs43otjtkjoaCERMchXA4RPe4PycYD8+sUc7PjwkODUXBuSY4RGBUbBi3ShmGiaZIGPQatHbacbTKKnc4FISY4CjEqboWNLV1QR+iwlTXSiAaGmnVy172w6Eh2Mvl4R6hVgmY7foM93LjTZIBExyFkIanZo6MhlbD/y3DMdtVwTlUYUFHF5eo0uC4598wwRm2WaOcFxsF53ixQb7Hv6QKwatGz0mNCUVCpA5ddpFLVGlQbN12HHD9zsxm/5thm+1KcPadbUIQ7gpEMmOCoxA9uxYzwRkuQRDcf5z28cqRBuFwhRWd3Q7EhmsxOi5c7nD83ozUKISoBdQ221DW2C53OBRkmOAoQKW5HRXmdqhVAjJSo+QOJyBIE433ceyfBkEaSpk5KppbpXiAPkTt7i7Oiw3yNSY4CiCt9pmcZEC4TiNzNIFBmmhccK4JDgdL4zQwUkIsDa3Q8LmHqbiqkXyMCY4CSAnOLJ5UPWZSkgGhIWpY2rtQUtcidzjkB0RRdH8XOf/Gc6TPsoDVVPIxJjgKwATH80LUKmSOjALAYSoamHMNbWho7YRWrXIPq9DwScPFJ2qbYWnvkjkaCiZMcGTWaut2N8FiguNZPSs4OPZPlyYNoUxLMUIfopY5msARH6nDqNgwiCJQWMqLDfIdJjgyO1Buht0hItmoR3JUqNzhBJRZriX3HPungZAmGHP+jee5++Gwmko+xARHZtIXfhb733jczJFRUAlAaWMbaq0dcodDCicNZbKS6nlS802upCJfYoIjswJXyXaWa74IeU6kPgQTTQYArOJQ/8xtnThZ65yMzgTH86SJxkVlZnRx403yESY4MnI4RBS6V22wguMN3JeKBkKaGzImLhyxETqZowk84+IjYNBr0NHlcO/UTuRtTHBkVFLXAmtHN8K0aqSbIuUOJyBJV+OFrOBQPzg85V0qleD+bFlNJV9hgiMj6aSakRoFjZr/K7xh5kjnSfVIpZUbb9JF7WP/G6+TqtTceJN8hX9VZcT+N96XEu3ceLPbwY03qW+d3Q4cKDMD6OnZQp43ixtvko8xwZGRdCXDBMd7BEFwV3HYg4P6crTKClu3A1FhIRgbzw02vWVGShQ0KufGm+VN3HiTvI8JjkzqW2w429AGQQAyRzLB8SZ3Dw6O/VMf3JXUkdxg05tCtWpMTnauauTFBvkCExyZSCfVCQmRMIaGyBxNYJs5KgoAsL+UpXG6kPTHdiYrqV4nVVP3l5rlDYSCAhMcmUirenhS9b4pyUZo1SrUt3SirJGlceptv+u7mMleVF4nfcas4JAvMMGRCScY+44+RI0pI5yl8YJSruCgHtWWDlRaOqASnHNEyLukCs5RrmokH2CCI4PObgcOVThX9MzkVaNPzJImGp8zyxsIKYpUSUg3GRCu08gcTeBLiQ5FPFc1ko8wwZFB8XmrNkbHcdWGL8zkRGPqQ89QcZS8gQQJQRB6LjY4TEVe5pMEZ/369UhLS4Ner0dWVhby8/MveuzLL7+Myy+/HNHR0YiOjkZOTs4Fx991110QBKHXbeHChd5+Gx4jfbEzU6O4asNHpKHAY9VWtNq6ZY6GlMI9wZgrGX1GSibZXZy8zesJzrvvvovVq1fj0UcfRWFhIWbMmIHc3FzU1tb2efz27dtxxx13YNu2bcjLy0NqaiquvfZaVFRU9Dpu4cKFqKqqct/+8Y9/ePuteEyhawUBT6q+k2jQY0RUKBwi3E3dKLjZuu04XOHcF4nfRd/p6Utl5qpG8iqvJzjPPfccVqxYgWXLlmHy5MnYsGEDwsLC8Nprr/V5/FtvvYWf/OQnyMjIQHp6Ol555RU4HA5s3bq113E6nQ4mk8l9i472nxPUfqmCw5OqT3EFB53vSKUVnXYHYsK1GBUbJnc4QWPqCCNC1ALqW9jwj7zLqwlOZ2cnCgoKkJOT0/OCKhVycnKQl5c3oOdoa2tDV1cXYmJ6t1Dfvn07EhISMHHiRNx7771oaGi46HPYbDZYrdZeN7nUNnegvKkdggDMSDXKFkcwcm+8yR4chPPm34zkULEv6UPUmJzsPPfxYoO8yasJTn19Pex2OxITE3vdn5iYiOrq6gE9x0MPPYTk5OReSdLChQvx5ptvYuvWrXjqqaewY8cOXHfddbDb+152uG7dOhiNRvctNTV16G9qmKRVPBMTIxGpZ4M/Xzp/ywaWxklqNsdKqu9JE4056Z+8SdGrqH7/+9/jnXfewcaNG6HX6933L168GDfddBOmTZuGRYsWYdOmTdi7dy+2b9/e5/OsWbMGFovFfSsrK/PRO7gQh6fkMznZAH2ICua2Lpyub5U7HJIZJxjLxz3RmBUc8iKvJjhxcXFQq9WoqanpdX9NTQ1MJlO/j33mmWfw+9//Hl988QWmT5/e77FjxoxBXFwcSkpK+vy5TqeDwWDodZNLz1VjlGwxBKsQtQrTR0QB4JVjsKuytKPK0gG1SuBQsQykpLK4qhltnVzVSN7h1QRHq9Vi1qxZvSYISxOGs7OzL/q4p59+Go8//jg2b96M2bNnX/J1ysvL0dDQgKSkJI/E7S1ddgcOVpgB8KpRLlJiWcSVVEFNGipON0UiTMsGf76WHBUKk0EPOxv+kRd5fYhq9erVePnll/HGG2+guLgY9957L1pbW7Fs2TIAwNKlS7FmzRr38U899RQeeeQRvPbaa0hLS0N1dTWqq6vR0tICAGhpacEDDzyA3bt34+zZs9i6dStuvvlmjBs3Drm5ud5+O8NSXGVFR5cDxtAQjGGDP1lICQ43+wtuHJ6SH4epyNu8fuly++23o66uDmvXrkV1dTUyMjKwefNm98Tj0tJSqFQ9edaLL76Izs5OfO973+v1PI8++ih+85vfQK1W4+DBg3jjjTdgNpuRnJyMa6+9Fo8//jh0Op23386wFJ63qZ9KxVUbcpDmPh13Nfxje/7g1LODeJS8gQSxmSOj8dmhal5skNf45Oy+atUqrFq1qs+f/ffE4LNnz/b7XKGhofj88889FJlv7XcNi2Sm8qpRLokGPZKNelRaOnCw3ILssbFyh0Q+Zuu244irwR+/i/I5f7hYFEUu1SePU/QqqkDDq0ZlkKo4+8tYGg9GR9ngTxGmJDsb/tU121BhZsM/8jwmOD5S12xDWaOzwV9GapTc4QQ1zsMJbu6VjNwLTlb6EDUmJzlXtPK7SN7ABMdHpP434xMi2OBPZucnOGz4F3zcQ8Vs1SA7dzWVCQ55ARMcHyni/BvFkErj3AsnOEkXGxn8LspOqmZzuJi8gQmOj7DBn3L0Ko2zH05QqWu2ufeCm84Gf7KTzodHKqywdfe91Q7RUDHB8QFnMyszACCDCY4i9JTGeeUYTKRK6viECBg4VCy7kTFhiAnXotPuwNFK+TZBpsDEBMcHTtY2o7XTjnCtGuMTIuUOh8CJxsGqZ3gqSt5ACAAgCAIyXf8v2F2cPI0Jjg9If0Snp0RBzQZ/iiDNhTpaydJ4MOEO4srDiw3yFiY4PlDE+TeKkxoTilhXafwIS+NB4fyhYn4XlYN9qchbmOD4gPTF5VWjcgiCwCvHIMOhYmWanmKEIABlje2oa7bJHQ4FECY4Xtbc0YWTtc6NQjnuryycaBxcOFSsTJH6EIxPiADAeTjkWUxwvOxguQWiCKREhyI+UtmbgQYbaXIjKzjBQUpkOTylPNKcOF5skCcxwfEyrtpQrmmu0niFuR21zR1yh0NexgnGysXhYvIGJjhexpOqckXqQzDBNRejiCfWgGbt6EJJHYeKlUo6Px4sN8Pu4PYp5BlMcLxIFEX3mDJPqsqUwR4cQeFgGYeKlWxcQgQidBq0dtpxoqZZ7nAoQDDB8aKyxnY0tHYiRC1gSrJB7nCoD1JnaSY4ga1n/g0rqUqkVgmYNsK5dQa/i+QpTHC8SFoePjnZCH2IWuZoqC9SBedAGUvjgWw/K6mK577Y4HAxeQgTHC9yz7/hSVWxJiRGIkyrRmunHSWu5fwUWDhU7B+4ZQN5GhMcL+JVo/KpVQKmp0ilcS5RDURlje1o5FCx4kkVnBO1zWixdcsbDAUEJjheYuu2o9i1BQD7bihbhqsHB68cA5N7qDjJwKFiBUuI1GNEVChEEe4tNYiGgwmOlxyttKLT7kBMuBYjY8LkDof6kcGGfwGNw1P+g6sayZOY4HiJ9AWdkWKEILAtvJJJFbYTNc1oZWk84LgTHFZSFY8XG+RJTHC8pOeqkctSlS7RoEeSUQ+H6NxagwJHZ3fPbvH8Lirf+W0bRJGrGml4mOB4Ca8a/QtL44GpuMqKzm4HosJCkBbLoWKlm5pshFoloK7ZhkoLt0+h4WGC4wWNrZ0419AGAMhIiZI3GBqQTPeVI1dSBZKeoeIoDhX7gVCtGukmbp9CnsEExwsOuE6qY+LCYQwLkTcYGpAM927GLI0HEinB4UpG/9FTTeXFBg0PExwvYP8b/zNthLM0XttsQxVL4wGDK6j8j7SdBoeLabiY4HgB59/4n1CtGhMTXaVxnlgDgrmtE2fqWwEwwfEn0v+rQxUWdNkd8gZDfo0JjoeJougeosrkqg2/wo03A4v0/3F0XDiiwrTyBkMDNiYuHJF6DTq6HDhezZ3FaeiY4HjYmfpWWNq7oNOokJ4UKXc4NAjusX9ObgwIHJ7yTyqV0NMPhxcbNAxMcDxMOqlOHWFEiJofrz/JPK803s3SuN9jguO/eLFBnuCTv8Dr169HWloa9Ho9srKykJ+f3+/x77//PtLT06HX6zFt2jR89tlnvX4uiiLWrl2LpKQkhIaGIicnBydPnvTmWxgwnlT919j4CETqNGjvsuN4DUvj/ow7iPs3rqQiT/B6gvPuu+9i9erVePTRR1FYWIgZM2YgNzcXtbW1fR7/zTff4I477sDy5cuxf/9+LFq0CIsWLcLhw4fdxzz99NN4/vnnsWHDBuzZswfh4eHIzc1FR4f8q194UvVfKpWA6anSzuJmeYOhYTnb0AZzWxe0GhUmJXEHcX8jnT9P1TmH/ImGwusJznPPPYcVK1Zg2bJlmDx5MjZs2ICwsDC89tprfR7/pz/9CQsXLsQDDzyASZMm4fHHH8fMmTPx5z//GYDzyuyPf/wjfv3rX+Pmm2/G9OnT8eabb6KyshIffviht99Ovzq67CiuktrCR8kaCw0NS+OBQbryn5psgFbDoWJ/ExuhQ2pMKADuLE5D59VvfmdnJwoKCpCTk9PzgioVcnJykJeX1+dj8vLyeh0PALm5ue7jz5w5g+rq6l7HGI1GZGVlXfQ5bTYbrFZrr5s3HKm0ossuIi5Ci5ToUK+8BnmX1PCPFRz/JiWoM3ih4bfc30VebNAQeTXBqa+vh91uR2JiYq/7ExMTUV1d3edjqqur+z1e+u9gnnPdunUwGo3uW2pq6pDez6WcPzzFtvD+SarglNS1oLmDpXF/xaFi/8f94Wi4gqJ2u2bNGlgsFvetrKzMK68zf1wsHsidiO/OTPHK85P3xUfqMCIqFCJ3FvdbHV12HHUNFbMXlf86P8Hh9ik0FBpvPnlcXBzUajVqamp63V9TUwOTydTnY0wmU7/HS/+tqalBUlJSr2MyMjL6fE6dTgedTjfUtzFg6SYD0k2c0OjvMkZGocLcjqIyM+aPi5M7HBqko1XOoeKYcK17Hgf5nynJBoSoBTS0dqK8qR2pMdwNngbHqxUcrVaLWbNmYevWre77HA4Htm7diuzs7D4fk52d3et4ANiyZYv7+NGjR8NkMvU6xmq1Ys+ePRd9TqLBkPrh7OfYv1+S5mxwqNi/6UPU7hVwbPhHQ+H1IarVq1fj5ZdfxhtvvIHi4mLce++9aG1txbJlywAAS5cuxZo1a9zH//znP8fmzZvx7LPP4tixY/jNb36Dffv2YdWqVQAAQRBw33334YknnsDHH3+MQ4cOYenSpUhOTsaiRYu8/XYoCLA07t84/yZwcFUjDYdXh6gA4Pbbb0ddXR3Wrl2L6upqZGRkYPPmze5JwqWlpVCpevKsefPm4e2338avf/1r/OpXv8L48ePx4YcfYurUqe5jHnzwQbS2tuKee+6B2WzGggULsHnzZuj1em+/HQoCU0cYoVEJqG+xocLcjpRolsb9CROcwJGRGoU3886x4R8NiSAG4SWq1WqF0WiExWKBwcA5M3Sh77zwHxyusOLP38/Ed6Ynyx0ODVBDiw2znvgSAHDg0WthDA2ROSIajtN1Lbj62R3QalQ4/Jtc9jSiQf395m8LUR9YGvdPB1xN4cbEhzO5CQCj45z/Hzu7HThW7Z3+ZRS4mOAQ9YEN//zT+ROMyf8JguBu1sjvIg0WExyiPmSct7N4F3cW9xvSaptMJjgBg9VUGiomOER9GBMXDoNeA1u3A8erubO4P3A4RBxwTzBmg79AkTkyCgArOP7kYLkZf/ryJPadbZQ1DiY4RH1QqXpK4+zB4R/ONLTC2tENnUaF9KRIucMhD8lIiQIAnK5vhaWN26f4g63Ftfj/vjyBt/eUyhoHExyii8hkadyvSP+fpo4wIkTNU1ugiA7XIi3W2aqhiDuL+wV3qwZX9U0uPAsQXYT05dzPHhx+gf1vAhfn4fgPURQV811kgkN0EdI8jtN1LI37A6WcVMnzerqL82JD6c7Ut8LS3uUcKpZ5b0YmOEQXEROuxShXafwAS+OK1tFlR7G0g7jMZXHyvMyRPW0bgrA3rV+RLjSmjjDK3piRCQ5RPzLYg8MvHK6woNshIi5ChxFR3EE80ExKMkCrUaGprQvnGtrkDof6oaRKKhMcon707CzO0riSSTu/Z47kDuKBSKtRYUqyc7iDFxvKdv53UW5McIj6kcHSuF9Q0lUjeUema04cLzaU6/yhYiV8F5ngEPVjUlIktGpnaby0kaVxpZL+6CnhqpG8I4MN/xRPaUPFTHCI+qHTqDHZVRrfzyWqilRr7UClpQOCAEx3NYWjwCMNFx+tsqKjyy5vMNQnKflUylAxExyiS2CreGWTOk1PTIxEhE4jbzDkNSnRoYiL0KLLLuJIJXcWV6L9ChsqZoJDdAkZ3LJB0fZzB/GgIAgCVzUqnNSIUSmb3TLBIboEaXJjcaUVtm6WxpVGav7G+TeBT+qHw4nGylPb3IEKc7tzqJgJDpF/SI0JRUy4Fp12B0vjCmN3iDhYbgHAHcSDASs4yiVVbyYkKGeomAkO0SUIgsCNNxXqRE0z2jrtiNBpMC4hQu5wyMumpxghCEB5Uzvqmm1yh0Pn2X/eBGOlYIJDNACch6NM0vyb6SlGqFXyr9og74rUh2C8K5FlFUdZihQ4F44JDtEA9OyFw7F/JeH8m+DDjTeVxzlUbAbQ069ICZjgEA3A9FRnabyskaVxJenpYMz5N8GiZ6KxWd5AyO1kbTNaO+0I16oxPiFS7nDcmOAQDYDhvNI4V3AoQ3NHF07WtgBQVlmcvEv6f32w3AK7g9unKIGUbM5IjVLUUDETHKIBcu+Fw7F/RThYboEoOhvAxUfq5A6HfGRCYiTCtGq02LpR4kpwSV6F55Q5VMwEh2iAZo6KAsAKjlL07D/F4algolYJmOHakqOQ30VFkC76Zirsu8gEh2iApD+kB8st6LY7ZI6GCl1l8ZkKu2ok7+PFhnJY2rvclTSlDRUzwSEaoHHxEYjUadDWacfxmma5wwlqoiiyghPEpOHiQk40lt0BV/VmVGwYYiOUNVTMBIdogFQqATOkfjg8scrqbEMbmtq6oNWoMDnJIHc45GPSXI+S2hZY2rvkDSbIScOEStl/6nxMcIgGQRoOYYIjL6l6M22EEVoNT2PBJjZCh1GxYQDY8E9u0rlw5ijlVVJ5ZiAaBHcPDjYZk5V01cj5N8Er011N5XdRLg6H6E4wMxXYi4oJDtEgSJPoTte1wtzWKW8wQUy6auT8m+AlVQxYTZXP6fpWWNq7oNOokJ6knAZ/Eq8mOI2NjViyZAkMBgOioqKwfPlytLRcvG9BY2MjfvrTn2LixIkIDQ3FyJEj8bOf/QwWi6XXcYIgXHB75513vPlWiAAA0eFajI4LB8B+OHJp6+zGsWrnJG+lLUsl33H3pSptgoMN/2QhVc+mpxgRolZevcSrES1ZsgRHjhzBli1bsGnTJuzcuRP33HPPRY+vrKxEZWUlnnnmGRw+fBivv/46Nm/ejOXLl19w7F//+ldUVVW5b4sWLfLiOyHqkcmJxrI6UObsYJtk1MNk1MsdDskkPSkS+hAVrB3dOF3fKnc4QUmp/W8kGm89cXFxMTZv3oy9e/di9uzZAIAXXngB119/PZ555hkkJydf8JipU6fiX//6l/vfY8eOxe9+9zvceeed6O7uhkbTE25UVBRMJpO3wie6qMxR0fhgfwXH/mUizX9S6kmVfCNErcL0EVHIP9uIwtImjHNtpUK+0zNUHCVrHBfjtQpOXl4eoqKi3MkNAOTk5EClUmHPnj0Dfh6LxQKDwdAruQGAlStXIi4uDnPnzsVrr70GUbx4idJms8Fqtfa6EQ1Vpns3YzNL4zIoPGcGoNyTKvlOJlc1yqbF1o3j1c6/pUqdC+e1Ck51dTUSEhJ6v5hGg5iYGFRXVw/oOerr6/H4449fMKz129/+FldffTXCwsLwxRdf4Cc/+QlaWlrws5/9rM/nWbduHR577LGhvRGi/5JucpbGmzu6caquBeMTlTe5LlCJooiiMjb4I6eencVZTfW1g+VmOEQg2ahHokGZQ8WDruA8/PDDfU7yPf927NixYQdmtVpxww03YPLkyfjNb37T62ePPPII5s+fj8zMTDz00EN48MEH8Yc//OGiz7VmzRpYLBb3raysbNjxUfDSqFWYzr1wZFHW2I76lk6EqAVMSWaDv2AntQk4XtOMFlu3vMEEGffwlAL730gGXcG5//77cdddd/V7zJgxY2AymVBbW9vr/u7ubjQ2Nl5y7kxzczMWLlyIyMhIbNy4ESEhIf0en5WVhccffxw2mw063YWtonU6XZ/3Ew3VrFHRyD/TiMJzZtw+Z6Tc4QQNaf7NlGQj9CFqmaMhuSUY9BgRFYoKczsOlJkxf1yc3CEFjf0K7mAsGXSCEx8fj/j4+Esel52dDbPZjIKCAsyaNQsA8NVXX8HhcCArK+uij7NarcjNzYVOp8PHH38Mvf7Spa+ioiJER0cziSGfkSa4FrCC41OF56ThqSh5AyHFyBwZhQpzOwrPNTHB8RFRFHs2u1VwBcdrk4wnTZqEhQsXYsWKFcjPz8euXbuwatUqLF682L2CqqKiAunp6cjPzwfgTG6uvfZatLa24tVXX4XVakV1dTWqq6tht9sBAJ988gleeeUVHD58GCUlJXjxxRfx5JNP4qc//am33grRBWaetxcOG/75jtKXpZLvzXR3FzfLG0gQOdvQhsbWTmg1KkUPFXttkjEAvPXWW1i1ahWuueYaqFQq3HLLLXj++efdP+/q6sLx48fR1tYGACgsLHSvsBo3blyv5zpz5gzS0tIQEhKC9evX4xe/+AVEUcS4cePw3HPPYcWKFd58K0S9xEboMDouHGfqW7G/zIyrJiZc+kE0LO2ddhytlFZtRMkbDCnGrFHSzuLOhn8qlSBzRIGvwFVJnT7CCJ1GuUPFXk1wYmJi8Pbbb1/052lpab2Wd1955ZX9LvcGgIULF2LhwoUei5FoqGaOjMaZ+lYUnmtiguMDB8vN6HaIMLnmXRABwORkA/QhKpjbunC6vpX9cHxASnBmKXh4CuBeVERDNnNUFICeLzt5lzTfadaoaAgCr9LJKeT8VY38LvpEz1w4JjhEAUm6ejlQZka33SFzNIFPOqkqeVIjyUP6LvJiw/usHV04UevaC851kadUTHCIhmh8QiQidRq0dtpxvKZZ7nACmiiKflMWJ9+bxVWNPlNUaoYoAiNjwpAQqcwGfxImOERDpFYJyHBNdmVp3LtO17eiqa0LOo0Kk5OUu2qD5CFV9biq0fv86UKDCQ7RMLj74TDB8Srp852REgWthqct6i0mXIsxceEA2F3c26TP1x+GinmmIBqGniWqZnkDCXCcf0OXMpPzcLzO7hDdWzTMUvgEY4AJDtGwZIyMgiAApY1tqG3ukDucgOVPZXGSBycae98J155f4Vo1JpqUv8kwExyiYTDoQzAhwflFLzxnljeYAGVu68TJ2hYAPR2kif5bz6pGC7q4qtErCs5bHq72g4aKTHCIhkkqje/n2L9XSCXxMXHhiI3gfnPUt3HxEYjUa9DeZcexKq5q9Ab3/Bs/udBggkM0TCyNe1cB59/QAKhUwnmT/htljiYw+dtcOCY4RMMkXc0crLDA1m2XN5gAxPk3NFDuiw1O+ve4+hYbzjY4941UegdjCRMcomEaHReO2HAtOrsdOFxhkTucgNJtd6DItUs0Exy6FPeqRlZTPU660BifEAFjaIjM0QwMExyiYRIEAbPTnCfWvWd5YvWkY9XNaO+yI1Kvwbh4bqJI/ctIjYJKACrM7aiytMsdTkCREpzZaTEyRzJwTHCIPGCO60u/7yzH/j1J+jxnjoyGyg9WbZC8wnUaTHJ1ut7Hiw2P2uv6Ls5J859KKhMcIg+Qrmr2nWuCwyHKHE3g2Mf5NzRIvNjwvPZOOw6VO4ff57CCQxRcpiQboA9RwdzWhVN1LXKHExBEUTzvqtF/TqokL+l3hcPFnlNUZka3Q4TJoEdKdKjc4QwYExwiDwhRq5CZ6qwy7OMER48ob2pHjdWGELWAjNQoucMhPyHNhztWbYW1o0vmaAKDVA2bnRYNQfCfoWImOEQe0jPRmKVxT8g/4/wcp44wIlSrljka8heJBj1GxoTBIXI1lafsdX2O/lZJZYJD5CHueTgsjXuElCjO9bOTKslvDr+LHmN3iO5EcbYfTTAGmOAQeczMkc4lqqWNbaixcuPN4drrLoszwaHBmcNqqsccq7aixdaNCJ0G6SaD3OEMChMcIg+J1Ie4TwC8chyehhYbTtW1AgBmcwUVDZKUFBeVmdldfJikc9nMUf6xweb5mOAQeRCvHD1j33ldU6PDtTJHQ/5mbHw4YsK1sHU7cLjCKnc4fs29ktEPLzSY4BB5UE8/HCY4w7HXNcF4zmgOT9HgCYLgrvyxH87Qnd+qwR+HipngEHmQNAnvaKVz3JqGRlq1wQnGNFTshzN8/t6qgQkOkQclGUOREh0KhwgUcUfjIWnr7MYR16al/rZqg5RDqv7tO9fI7uJDJFVv/LVVAxMcIg+TrhzzWRofkv2lzq6pyUY9UqLD5A6H/BS7iw+fVP3yt/43EiY4RB7mTnDONMgciX9yT2rk/BsahvO7i3OYamjcHYz9cIIxwASHyOPmuv4w7y/lEtWh8OdJjaQsUpLMVY2D19Biw8laZ+XLX7+LTHCIPGxsfDjiInSwdTtwoMwidzh+pcvuwH7X3CVOMKbhkto2SNt+0MBJn9nExEjE+GmrBiY4RB4mCAKyXFeOe05zmGowjlRa0dZphzE0BOMTIuQOh/zcrFHR0KgEVJjbUdbYJnc4fmWPK8HJGuO/FxpMcIi8QDop7OGV46BICeHc0TFQ+VnXVFKeMK0G01OMAPhdHKzdru9i1uhYmSMZOq8mOI2NjViyZAkMBgOioqKwfPlytLT0P5v9yiuvhCAIvW4//vGPex1TWlqKG264AWFhYUhISMADDzyA7m72HCHlkE4KBeea0GV3yByN/5BOqpeN8d+TKilLlut3aTerqQPW1NqJY9XNAFjBuaglS5bgyJEj2LJlCzZt2oSdO3finnvuueTjVqxYgaqqKvft6aefdv/MbrfjhhtuQGdnJ7755hu88cYbeP3117F27VpvvhWiQRmfEIHosBC0d9lxsJzzcAai2+5wr3bJ4goq8pDLmOAMmtTiYlxCBOIidDJHM3ReS3CKi4uxefNmvPLKK8jKysKCBQvwwgsv4J133kFlZWW/jw0LC4PJZHLfDIaeHUy/+OILHD16FH//+9+RkZGB6667Do8//jjWr1+Pzs5Ob70dokFRqQT3aqo9XC4+IEdc3Z8Neg0mJfnXrsWkXLNcm0SWN7WjvInzcAZiz2nX/Bs/v9DwWoKTl5eHqKgozJ49231fTk4OVCoV9uzZ0+9j33rrLcTFxWHq1KlYs2YN2tp6finz8vIwbdo0JCYmuu/Lzc2F1WrFkSNH+nw+m80Gq9Xa60bkbdIwlXSyoP7tds+/ifW7XYtJuSJ0Gkwb4ZqHw+/igEgXZVl+PlTstQSnuroaCQkJve7TaDSIiYlBdXX1RR/3/e9/H3//+9+xbds2rFmzBn/7299w55139nre85MbAO5/X+x5161bB6PR6L6lpqYO9W0RDZg0dr3vbCO6OQ/nkqRJoJf58Zg/KVPPpH9WUy/F0t6Fo1XOIsBlwVbBefjhhy+YBPzft2PHjg05oHvuuQe5ubmYNm0alixZgjfffBMbN27EqVOnhvyca9asgcVicd/KysqG/FxEA5VuMsCg16C1044jlawa9qfb7nDvIM4JxuRpPfNwWMG5lL1nGiGKwJi4cCQY9HKHMyyawT7g/vvvx1133dXvMWPGjIHJZEJtbW2v+7u7u9HY2AiTyTTg18vKygIAlJSUYOzYsTCZTMjPz+91TE1NDQBc9Hl1Oh10Ov+dKEX+Se2ah/NlcS32nGnADD/cjddXjlZZ0WzrRiTn35AXzB4VDZUAlDa2odLcjuSoULlDUqye4Sn/rt4AQ6jgxMfHIz09vd+bVqtFdnY2zGYzCgoK3I/96quv4HA43EnLQBQVFQEAkpKSAADZ2dk4dOhQr+Rpy5YtMBgMmDx58mDfDpFXcR7OwPT03Ijh/BvyuEh9SM88HA5T9cvd4M+P+99IvDYHZ9KkSVi4cCFWrFiB/Px87Nq1C6tWrcLixYuRnJwMAKioqEB6erq7InPq1Ck8/vjjKCgowNmzZ/Hxxx9j6dKl+Na3voXp06cDAK699lpMnjwZP/jBD3DgwAF8/vnn+PWvf42VK1eySkOKI10F5Z9thN0hyhyNckkJIIenyFvcw1SneLFxMc0dXThc4WxrEZQVnMF46623kJ6ejmuuuQbXX389FixYgJdeesn9866uLhw/fty9Skqr1eLLL7/Etddei/T0dNx///245ZZb8Mknn7gfo1arsWnTJqjVamRnZ+POO+/E0qVL8dvf/tabb4VoSCYnGRCh06C5oxvFVZyH0xe7Q3Tve8MEh7yFE40vbd+5JjhEYFRsGJKM/j+MN+g5OIMRExODt99++6I/T0tLgyj2XNWmpqZix44dl3zeUaNG4bPPPvNIjETepFGrkDU6BluP1WJXST2musrk1ONoJeffkPfNTouBSgDONrSh2tIBk9G/J9B6w/lDxYGAe1ERedm8cXEAgF2neOXYF3f/mzTOvyHvMehDMCXZeYHBrsZ9+6bE+bnMGxsncySewQSHyMvmj3MOu+w904jObvbD+W/cf4p8JXus83dsV0m9zJEoj7mtE4crnfNv5o0NjO8iExwiL5uYGIm4CC3au+zYX9okdziK0mV3uFdtZAfISZWUa75UTS2p7zU9goC8Uw0QRWBCYoTf97+RMMEh8jJBEJA9lsNUfTlYbkaLrRvRYSGYzPk35GVz0qKhVatQaenA2QbuS3W+r11VrUAZngKY4BD5xHxXdeIblsZ7+c9J10l1XBxUnH9DXham1WDmqCgAPX/Qyekb18WXVOUKBExwiHxAOmkUlZnRauuWORrlkOZCLAigkyopm/S7tuskExxJhbkdZ+pboVYJAdH/RsIEh8gHUmPCkBoTiu7zer4EuxZbN/aXmgEwwSHfkS42vjlVz+abLtKFxvQUIwz6EJmj8RwmOEQ+Mn9szwRHAvLPNKDbIWJkTBhSY8LkDoeCxLQRRkTqNLB2dOOIa9VQsJOGzucH0PwbgAkOkc+wH05v0vybBeMD66RKyqZRq3CZa04c5+EAoii6z0mBNP8GYIJD5DNSb4niKisaWmwyRyM/zr8huSwYx2qq5GRtC+qabdCHqNwTsAMFExwiH4mL0CHdFAkAyAvyTqq11g6cqGmBIADZbPBHPiZVKvaebUJHl13maOT1tauSOictBjqNWuZoPIsJDpEPzXPPwwnuBGfXKedJdWqyEdHhWpmjoWAzNj4cJoMend0O7Dsb3M03v3F9FwNteApggkPkUwvGO6sV/zlZF9SdVKX5N4F4UiXlEwShp6vxqeAdpuq2O7D7tHNVZ6BNMAaY4BD51GVjYqFVq1De5Ow7EYxEUXTPfbicE4xJJtIeccE8D6eozNlJPCosBJOTA6+TOBMcIh8K02owd7Szkdb243UyRyOPU3UtqLHaoNOoMGtUtNzhUJCSKjiHKixobO2UORp5SOegy8fHQx2AncSZ4BD52BUT4gEAO04EZ4Kz80TPpEZ9SGBNaiT/kWjQI90UCVF0DhkHo+0nagEAV7rOSYGGCQ6Rj1050Xky2X26IShXcGw77jqpTgzMkyr5jysnJgAAth2rlTkS36tt7sDhCisA4FtMcIjIE8YlRCDZqIet24HdQbZcvK2zG3tckxqZ4JDcrnL9Du48GXzbNkiV1KkjDIiP1MkcjXcwwSHyMUEQcIXrxBps83C+KWlAp92BlOhQjI2PkDscCnIzR0UjUqdBY2snDpab5Q7Hp7ZLldQJCTJH4j1McIhkcIXrpLIzyObhSMNTV01MgCAE3qRG8i8hahUun+CcbBxMFxvddoe7VUMgV1KZ4BDJYP64WGhUAk7Xt6K0oU3ucHxCFEX3H5Gr0gP3pEr+RapgSBWNYHCg3AJLexcMeg0yUqPkDsdrmOAQySBSH+JeIr3jRHCcWEtqW1BhbodWo0L2GPa/IWWQhosPVlhQHyR7xO1wJXOXT4iHRh24aUDgvjMihZNOrMGyXFwansoeE4tQLZeHkzIkGvSYnGSAKAbPkPF21/sM1OXhEiY4RDKR+uF8c6oBtu7AXy6+7ZhreCqAx/zJP0lDpsEwD6e+xYaD5RYAPRdZgYoJDpFMJic5l2e2ddqx90xgb/jX3NGFvWel5eGBu2qD/JP0O7nzZF3ALxeXqlRTkg1IiNTLHI13McEhkokgCO5qxpfFNTJH4127SurR7RAxJi4caXHhcodD1EtmahQMeg3MbV0oKjPLHY5XSVWqKwJ8eApggkMkq29PNgEAthytCejdxaXhKVZvSIk0ahUud/3BD+Suxl12h3su3NXpgf9dZIJDJKPLx8chNESNCnM7jlZZ5Q7HKxwOsaf/DZeHk0Jd7Uq+A7mauud0I5o7uhEXoUPmyMDf6JYJDpGM9CFqXD7euWT6iyOBeWI9WGFBbbMN4Vq1eyd1IqW5ZlIC1CoBx6qbca6hVe5wvOLzI9UAgG9PTgjI3cP/GxMcIpldO8U5TPXF0cBMcDYfdp5Ur0pPgE7D5eGkTFFhWmS5EnApEQgkDoeILa5zzLWuofFAxwSHSGbXpCdAJQDFVVaUNQZWV2NRFLH5cBUAYOHU4Dipkv+Sfkc/D8Bq6qEKC6qtHQjXqpE9NlbucHzCqwlOY2MjlixZAoPBgKioKCxfvhwtLS0XPf7s2bMQBKHP2/vvv+8+rq+fv/POO958K0ReEx2uxZw055XjlgCr4pyoacHZhjZoNSpOMCbFkyobhaVNqG3ukDkaz5KqUlemJ0AfEhyVVK8mOEuWLMGRI0ewZcsWbNq0CTt37sQ999xz0eNTU1NRVVXV6/bYY48hIiIC1113Xa9j//rXv/Y6btGiRd58K0ReJQ1TBVqCI51UvzU+DhE6jczREPXPZNRjRmoURDHwvotfuIenEmWOxHe8luAUFxdj8+bNeOWVV5CVlYUFCxbghRdewDvvvIPKyso+H6NWq2EymXrdNm7ciNtuuw0RERG9jo2Kiup1nF4f2A2LKLBJJ538s41oau2UORrPkebfSAkckdLlTnF+FwNpmOpUXQtKalsQohZwVRAsD5d4LcHJy8tDVFQUZs+e7b4vJycHKpUKe/bsGdBzFBQUoKioCMuXL7/gZytXrkRcXBzmzp2L1157rd8eIjabDVartdeNSElSY8KQboqE3SHiqwDpw1Ha0IajVVaoVQJyJgXPVSP5t1xXMp53qh7Wji6Zo/EMqRp12ZhYGPQhMkfjO15LcKqrq5GQ0DtT1Gg0iImJQXX1wGaov/rqq5g0aRLmzZvX6/7f/va3eO+997Blyxbccsst+MlPfoIXXnjhos+zbt06GI1G9y01NXXwb4jIywJtmEoansoaHYOYcK3M0RANzNj4CIxLiECXXQyYpn/SdzE3yCqpg05wHn744YtOBJZux44dG3Zg7e3tePvtt/us3jzyyCOYP38+MjMz8dBDD+HBBx/EH/7wh4s+15o1a2CxWNy3srKyYcdH5GnSMNWOE3Vo6+yWOZrhk06qXD1F/kYappKGWP1ZrbUD+0vNAIBvB9H8GwAY9Ky/+++/H3fddVe/x4wZMwYmkwm1tb2z3+7ubjQ2NsJkuvQJ75///Cfa2tqwdOnSSx6blZWFxx9/HDabDTqd7oKf63S6Pu8nUpIpyQaMig3DuYY2fFlci5tmJMsd0pDVWjtQUOrcQDRYem5Q4MidYsL6baew/XgdOrrsfr3qaLPrQiMjNQqJhuCaqzroBCc+Ph7x8Zdut56dnQ2z2YyCggLMmjULAPDVV1/B4XAgKyvrko9/9dVXcdNNNw3otYqKihAdHc0khvyaIAi4aUYyXviqBB8XVfh1gvPF0RqIovOkajIG10mV/N+0EUYkG/WotHRg+/FaLJyaJHdIQ/ZRkXNRz3em++97GCqvzcGZNGkSFi5ciBUrViA/Px+7du3CqlWrsHjxYiQnO0/cFRUVSE9PR35+fq/HlpSUYOfOnbj77rsveN5PPvkEr7zyCg4fPoySkhK8+OKLePLJJ/HTn/7UW2+FyGekpGbHiTqY2/x3NdUnB5wnVQ5PkT8SBAE3ur6LH+7ve9WvPyhrbEPBuSYIAvz6gmmovNoH56233kJ6ejquueYaXH/99ViwYAFeeukl98+7urpw/PhxtLX17t762muvISUlBddee+0FzxkSEoL169cjOzsbGRkZ+Mtf/oLnnnsOjz76qDffCpFPjE+MRLopEl12Ef/20/H/CnM79pxpBBCcJ1UKDDdnjAAAfHWsFpZ2/1xN9bHrQmPe2FgkBNnwFDCEIarBiImJwdtvv33Rn6elpfW5vPvJJ5/Ek08+2edjFi5ciIULF3osRiKluTljBI5tPoaPiypxx9yRcoczaB8VVQAALhsTg+SoUJmjIRqaSUmRmJgYieM1zdh8uAq3z/Gv76Ioivhwv/O7KCVrwYZ7UREpzI0znGPlu880oMbqX+3iRVHExkLnSfX/ZQbnSZUCgyAIuDnTWYHc6EoU/Mmx6macrG2BVqMK2qFiJjhECpMSHYbZo6Ihij1zWfzFkUqr+6R63bTgm9RIgUUaYt1zphFVlnaZoxmcD12V1KsnJgRVc7/zMcEhUqCbMpwnVn9LcKQr3W9PSgzakyoFjpToMMwdHQNRBD4u8p/vosMh4hNXvIsyg3ceHBMcIgW6floS1CoBB8otOFvfKnc4A9Jtd7gnNS7i8BQFiEWu+Sv+NEy171wTKi0diNRrcOXE4Nl76r8xwSFSoLgIHeaPiwPQU2pWul2nGlDXbEN0WAiumHDp/lVE/uCGaUnQqlU4Vt2M49XNcoczINI547qpJr9uUjhcTHCIFOq7rirI+/vKYXdcfDNZpZBWbHxnejK0Gp5aKDAYw0Jw5URnwu4PFxsdXXZ8erAKQPCunpLwLESkUAunmhAVFoIKczt2nqiTO5x+tdq63fv2cHiKAo20IvCDwnJ02x0yR9O/zw5VwdLehRFRobhsTKzc4ciKCQ6RQulD1LhlZgoA4K09pTJH07+PD1SivcuOUbFhmDkySu5wiDzq6kkJiIvQosZqw5fFyt5hXDpXfD9rJNQqQeZo5MUEh0jBpEZ/Xx2rQaVZmctURVHEm3nnAABLskZCEIL7pEqBR6dR4/Y5qQCAv+8+J3M0F1dcZUXBuSZoVAJunZ0idziyY4JDpGDjEiKQNToGDhF4d2+Z3OH0qeBcE4qrrNBpVLhtdqrc4RB5xR1zR0IQgK9L6nGqrkXucPr01h5n8pU71YSEyODbmuG/McEhUrjvZzmrOO/uLVPk+P8brurNzRnJiArTyhwNkXekRIfhmnTnkuu3ditvyLjF1u3uIr4ky7+2lfAWJjhECrdwqgkx4VpUWzuw7biyJhvXNndg82Hnio2l2WnyBkPkZXdeNgoA8H5BGdo6u2WOprePiirQ2mnHmPhwZAf55GIJExwihdNp1PjeLOd4+tt7lDX+/05+GbrsImaOjMLUEUa5wyHyqm+Nj8fImDA0d3Qrqsu4KIr4u6uqtCRrFOfBuTDBIfID0mTj7SfqUNrQJnM0Tl12h3vMn9UbCgYqlYA7L3N+F9/MOwdRVEZ/qv1lZvc8uFtmsk2DhAkOkR8YHReOb02IhygCG3aekjscAMCWozWosdoQG67FddOCc7diCj63zkqFVqPCkUor9peZ5Q4HAPDq12cAOJtsch5cDyY4RH5i5ZVjAQD/3FeOakuHrLGIooi/7nKeVO+YOxI6TfC2g6fgEh2ude8y/uJ2+S82Smqb8dkh5zy4uy8fLXM0ysIEh8hPZI2Jxdy0GHTaHXj5P6dljSXvVAP2nm2CVq3Cksu4YoOCy4+vGAtBcFYxD1dYZI1l/bZTEEXg2smJmJRkkDUWpWGCQ+RHVl49DoCz30VDi02WGERRxHNbTgAA7pibiiRjqCxxEMllXEKEu4rz/NaTssVxpr4VH7n2x/rp1eNli0OpmOAQ+ZFvjY/DtBFGdHQ58JpriMjXvi6px75zTdBqVPjJVeNkiYFIbj+9ehwEAfjiaA2OVMpTxfm/bSVwiMBVE+MxLYWrGP8bExwiPyIIAla6koo3vzkHS3uXT1///OrNkqyRSDSwWyoFp3EJkbhxunxVnLLGNmzc76reXMPqTV+Y4BD5mWsnJ2JCYgSabd1485uzPn3tHSfqsL/UDH2ICve6Jj0TBaufXeOs4nx+pAZHK60+fe3/234K3Q4RC8bFYebIaJ++tr9ggkPkZ1SqnirOX3aeRq3VNyuqRFHE/+eq3vzgslHc64aC3riESHxHhipOaUMb/lng3JvuZ6zeXBQTHCI/9J3pyZiRYkSLrRu/+6zYJ6/5+ZEaHCi3IDREjf+5gtUbIgD4mWsuzuYj1cg71eD11xNFEY98dBhddmf1Zu7oGK+/pr9igkPkh9QqAY8vmgpBAD4qqsQ3p+q9+nrWji785uMjAIAfLUhDXITOq69H5C/GJ0a6O43/78ZD6Oiye/X1PjtUjR0n6qBVq/DYzVO8+lr+jgkOkZ+anhLl3jV47UdH0NntvZ3Gf//vY6i2diAtNgyrrmJJnOh8Dy1MR0KkDqfrW7F+W4nXXqe5owuPfeK80Lj3yrEYGx/htdcKBExwiPzYA9emIzZci5LaFq8tG8871YC39zg38lv33ekI1bJrMdH5jKEheOwmZzXlxe2ncLy62Suv8+wXJ1DbbMPouHBO8h8AJjhEfswYFoI1108CAPzpy5Mob/LsRpztnXas+eAgAOD7WSORPTbWo89PFCgWTjXh25MT0e0QseaDg3A4PLsR58FyM97MOwsAePzmqdCH8ELjUpjgEPm5W2aOwNy0GLR32fE/fytAW2e3x577j1+ewNmGNpgMejx8XbrHnpco0AiCgN/ePAUROg0KS80eraha2ruw+r0DcIjAzRnJWDA+zmPPHciY4BD5OUEQ8OxtMxATrsWRSit++f4Bj1w9flRUgb/sdO559cSiqTDoQ4b9nESBLMkYiocWTgQAPPlZMbYW1wz7ObvsDqx6uxAltS1INOjw6xsmD/s5gwUTHKIAkBoThg13zkKIWsBnh6rx/FfD68mx80Qdfvn+AQDAXfPSkDM50RNhEgW8Oy8bhVtnpcAhAqve3o+iMvOQn0sURaz96Aj+c7IeYVo1Xv3hHMRHcgXjQDHBIQoQc0fH4IlFUwEAf/zyJD49WDWk5ykqM+PHfy9Al13EjTOSsfY7vGIkGihBEPDkd6fhignxaO+yY/nre3GuoXVIz/XKf87gH/mlEATg+cWZmDqC+00NhtcSnN/97neYN28ewsLCEBUVNaDHiKKItWvXIikpCaGhocjJycHJk72vRBsbG7FkyRIYDAZERUVh+fLlaGlp8cI7IPI/t88ZieULRgMAfv7Ofry88zREceDDVcVVViz7az7aOu24fHwcnr11BlQqwVvhEgWkELUK/7dkJqaOMKChtRM/fC0fJbUDX1lld4hYv60ET/7b2cTz1zdMZhV1CLyW4HR2duLWW2/FvffeO+DHPP3003j++eexYcMG7NmzB+Hh4cjNzUVHR08r+iVLluDIkSPYsmULNm3ahJ07d+Kee+7xxlsg8ku/un4SFmUko9sh4nefFWPFm/tgbuvs9zG2bjv++OUJ3PTnr9HU1oUZKUa8eOcsaDUs8hINRbhOg9fumoOU6FCcbWjD9c9/jZd3nob9EvPjKs3t+P7Lu/GHz49DFJ1DxD+an+aboAOMIA7m8m4IXn/9ddx3330wm839HieKIpKTk3H//ffjl7/8JQDAYrEgMTERr7/+OhYvXozi4mJMnjwZe/fuxezZswEAmzdvxvXXX4/y8nIkJycPKCar1Qqj0QiLxQKDwTCs90ekRKIo4q09pfjtpqPo7HZgRFQofnLVWFw1MQHJUaHu4zq7Hdh3thFrPz6CklpnJfSqifF49rYMxIRr5QqfKGBUWzrw4L8OYueJOgDA7FHRePi6dExLMUKn6VnqXd7Uhm3HavGHz4/D2tGNMK0aj900Bd+blQJBYBVVMpi/3xofxXRJZ86cQXV1NXJyctz3GY1GZGVlIS8vD4sXL0ZeXh6ioqLcyQ0A5OTkQKVSYc+ePfh//+//9fncNpsNNpvN/W+r1be7vhL5miAIuPOyUchIjcLKtwtxrqEN/7vxMAAg3RSJsfEROFnbjNN1reh2XVHGRWjx6I1T8J3pSTyhEnmIyajHG8vm4J29ZXhi01HsO9eE723IQ4hawOQkA1JjwnCg3Iyyxnb3Y2akGPGnxZlIiwuXMXL/p5gEp7q6GgCQmNh7nDExMdH9s+rqaiQkJPT6uUajQUxMjPuYvqxbtw6PPfaYhyMmUr6pI4z45KcL8Le8c9haXIP9ZWYcq27GsfM6rUbqNPjOjCQ8tDAdUWGs2hB5miAIuGPuSFw+Pg6///cxfHOqAY2tnThQbsGBcgsA5/5y01OMyJ1iwvIFoxGi5vDwcA0qwXn44Yfx1FNP9XtMcXEx0tOV1RBszZo1WL16tfvfVqsVqampMkZE5DsGfQhWXjUOK68ah8bWTuw8UYfa5g6MS4jARJMByUY9KzZEPpASHYY/f38mRFFEeVM7isrMKG1sw+RkA+akxSBCp5iaQ0AY1Kd5//3346677ur3mDFjxgwpEJPJBACoqalBUlKS+/6amhpkZGS4j6mtre31uO7ubjQ2Nrof3xedTgedjr0DiGLCtViUOULuMIiCmiAISI0JQ2pMmNyhBLRBJTjx8fGIj4/3SiCjR4+GyWTC1q1b3QmN1WrFnj173CuxsrOzYTabUVBQgFmzZgEAvvrqKzgcDmRlZXklLiIiIvI/XhvkKy0tRVFREUpLS2G321FUVISioqJePWvS09OxceNGAM6M9r777sMTTzyBjz/+GIcOHcLSpUuRnJyMRYsWAQAmTZqEhQsXYsWKFcjPz8euXbuwatUqLF68eMArqIiIiCjweW3Ab+3atXjjjTfc/87MzAQAbNu2DVdeeSUA4Pjx47BYLO5jHnzwQbS2tuKee+6B2WzGggULsHnzZuj1evcxb731FlatWoVrrrkGKpUKt9xyC55//nlvvQ0iIiLyQ17vg6NE7INDRETkfwbz95vr0IiIiCjgMMEhIiKigMMEh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKAwwSHiIiIAg4THCIiIgo4THCIiIgo4ATl3uxS82ar1SpzJERERDRQ0t/tgWzCEJQJTnNzMwAgNTVV5kiIiIhosJqbm2E0Gvs9Jij3onI4HKisrERkZCQEQfDoc1utVqSmpqKsrIz7XPWBn0//+Pn0j59P//j59I+fz6Up/TMSRRHNzc1ITk6GStX/LJugrOCoVCqkpKR49TUMBoMifzmUgp9P//j59I+fT//4+fSPn8+lKfkzulTlRsJJxkRERBRwmOAQERFRwGGC42E6nQ6PPvoodDqd3KEoEj+f/vHz6R8/n/7x8+kfP59LC6TPKCgnGRMREVFgYwWHiIiIAg4THCIiIgo4THCIiIgo4DDBISIiooDDBMeD1q9fj7S0NOj1emRlZSE/P1/ukBRh3bp1mDNnDiIjI5GQkIBFixbh+PHjcoelWL///e8hCALuu+8+uUNRlIqKCtx5552IjY1FaGgopk2bhn379skdliLY7XY88sgjGD16NEJDQzF27Fg8/vjjA9qvJxDt3LkTN954I5KTkyEIAj788MNePxdFEWvXrkVSUhJCQ0ORk5ODkydPyhOsDPr7fLq6uvDQQw9h2rRpCA8PR3JyMpYuXYrKykr5Ah4iJjge8u6772L16tV49NFHUVhYiBkzZiA3Nxe1tbVyhya7HTt2YOXKldi9eze2bNmCrq4uXHvttWhtbZU7NMXZu3cv/vKXv2D69Olyh6IoTU1NmD9/PkJCQvDvf/8bR48exbPPPovo6Gi5Q1OEp556Ci+++CL+/Oc/o7i4GE899RSefvppvPDCC3KHJovW1lbMmDED69ev7/PnTz/9NJ5//nls2LABe/bsQXh4OHJzc9HR0eHjSOXR3+fT1taGwsJCPPLIIygsLMQHH3yA48eP46abbpIh0mESySPmzp0rrly50v1vu90uJicni+vWrZMxKmWqra0VAYg7duyQOxRFaW5uFsePHy9u2bJFvOKKK8Sf//zncoekGA899JC4YMECucNQrBtuuEH80Y9+1Ou+7373u+KSJUtkikg5AIgbN250/9vhcIgmk0n8wx/+4L7PbDaLOp1O/Mc//iFDhPL678+nL/n5+SIA8dy5c74JykNYwfGAzs5OFBQUICcnx32fSqVCTk4O8vLyZIxMmSwWCwAgJiZG5kiUZeXKlbjhhht6/R6R08cff4zZs2fj1ltvRUJCAjIzM/Hyyy/LHZZizJs3D1u3bsWJEycAAAcOHMDXX3+N6667TubIlOfMmTOorq7u9T0zGo3Iysri+foiLBYLBEFAVFSU3KEMSlButulp9fX1sNvtSExM7HV/YmIijh07JlNUyuRwOHDfffdh/vz5mDp1qtzhKMY777yDwsJC7N27V+5QFOn06dN48cUXsXr1avzqV7/C3r178bOf/QxarRY//OEP5Q5Pdg8//DCsVivS09OhVqtht9vxu9/9DkuWLJE7NMWprq4GgD7P19LPqEdHRwceeugh3HHHHYrdfPNimOCQT61cuRKHDx/G119/LXcoilFWVoaf//zn2LJlC/R6vdzhKJLD4cDs2bPx5JNPAgAyMzNx+PBhbNiwgQkOgPfeew9vvfUW3n77bUyZMgVFRUW47777kJyczM+Hhqyrqwu33XYbRFHEiy++KHc4g8YhKg+Ii4uDWq1GTU1Nr/trampgMplkikp5Vq1ahU2bNmHbtm1ISUmROxzFKCgoQG1tLWbOnAmNRgONRoMdO3bg+eefh0ajgd1ulztE2SUlJWHy5Mm97ps0aRJKS0tlikhZHnjgATz88MNYvHgxpk2bhh/84Af4xS9+gXXr1skdmuJI52Ser/snJTfnzp3Dli1b/K56AzDB8QitVotZs2Zh69at7vscDge2bt2K7OxsGSNTBlEUsWrVKmzcuBFfffUVRo8eLXdIinLNNdfg0KFDKCoqct9mz56NJUuWoKioCGq1Wu4QZTd//vwLWgucOHECo0aNkikiZWlra4NK1ft0rlar4XA4ZIpIuUaPHg2TydTrfG21WrFnzx6er12k5ObkyZP48ssvERsbK3dIQ8IhKg9ZvXo1fvjDH2L27NmYO3cu/vjHP6K1tRXLli2TOzTZrVy5Em+//TY++ugjREZGuse5jUYjQkNDZY5OfpGRkRfMRwoPD0dsbCznKbn84he/wLx58/Dkk0/itttuQ35+Pl566SW89NJLcoemCDfeeCN+97vfYeTIkZgyZQr279+P5557Dj/60Y/kDk0WLS0tKCkpcf/7zJkzKCoqQkxMDEaOHIn77rsPTzzxBMaPH4/Ro0fjkUceQXJyMhYtWiRf0D7U3+eTlJSE733veygsLMSmTZtgt9vd5+yYmBhotVq5wh48uZdxBZIXXnhBHDlypKjVasW5c+eKu3fvljskRQDQ5+2vf/2r3KEpFpeJX+iTTz4Rp06dKup0OjE9PV186aWX5A5JMaxWq/jzn/9cHDlypKjX68UxY8aI//u//yvabDa5Q5PFtm3b+jzn/PCHPxRF0blU/JFHHhETExNFnU4nXnPNNeLx48flDdqH+vt8zpw5c9Fz9rZt2+QOfVAEUQzSVpdEREQUsDgHh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKAwwSHiIiIAg4THCIiIgo4THCIiIgo4DDBISIiooDDBIeIiIgCDhMcIiIiCjhMcIiIiCjgMMEhIiKigPP/A0QDLJq5ih+pAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
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