{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# empiricaldist plotting functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from empiricaldist import Hist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist = Hist.from_seq([1, 2, 2, 4, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist.bar(label='hist')\n",
    "plt.legend;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist.plot(label='hist')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pmf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from empiricaldist import Pmf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "pmf = Pmf.from_seq([1, 2, 2, 4, 5], name='example')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf.plot()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf.bar()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qo6dxoc2Pnm43Y3Aw+nV0Q5mmFgu/yeIzMYiITACbGrJ4l0sqceJyKaQSIOYBoqfbyaQSrHo6DAobKX48W4wvjzCGIiISG5sasni7T9ZdpYkM8oS384NFT7cLbueEeTHdAQAf7DyFyyV82BcRkZjY1JDF07/rqYWip9vFPhSEAYHuqKjWYsE3WdDpGEMREYmFTQ1ZtMsllThxRQWpBBjdQtHT7WRSCVZODIOdrRQ/n7+Bz4/kt/g+iIioadjUkEVreDZNVGdPeDkpWmUfgV6OWDi6BwAgflcu8m8whiIiEgObGrJoDdFTU97I/SCmRQUiMsgDldVazPv6BGMoIiIRsKkhi3XpRgWyr9ZHT71bPnq6nbQ+hnKQy5CeV4L/pl1s1f0REdGd2NSQxWqIngZ19oJnK0VPt+vo6YBFj9bFUMuTz+BicUWr75OIiH7HpoYsVmvOemrM1MhOGNTZE7dqGEMREbU1NjVkkS4WVyDnmhoyqQQxrRw93U4qlWD5hFA4ymU4evEm/v3zxTbbNxGRtWNTQxbp9+jJEx6O8jbdd4CHA/42ticAYEXyaVwoKm/T/RMRWSs2NWSRGqKnlnrXk7H+38COGNzFC5paHeZ9nQUtYygiolbHpoYszoWicpy6roaNVIJRvdouerqdRCLB8omhcFLYIOPSTWz6KU+UOoiIrAmbGrI4uxqipy5ecG/j6Ol27d3s8fa4uhhq5Q9ncK6QMRQRUWtiU0MWJ6khemrlB+41xTMRAXi4WztU1+rwxrYTqNXqxC6JiMhisakhi3KusBynlWV10VNvH7HLgUQiQcKEEDjb2eDE5VJs/JExFBFRa2lWU7Nu3ToEBgbCzs4OkZGROHLkSKNjv/32W0RERMDNzQ2Ojo4IDw/Hli1bDMZIJJK7flauXKkfExgYeMf3CQkJzSmfLFhD9DS4qxfcHMSLnm7n52qPxeN6AQA+2vsbzhaUiVwREZFlMrqp2bp1K+Li4rBkyRJkZmYiLCwMMTExKCwsvOt4Dw8PvPnmm0hLS0NWVhZiY2MRGxuLPXv26Mdcv37d4LNp0yZIJBJMmDDBYFvvvfeewbhXX33V2PLJwukfuGcC0dPtJvbvgEd6eKNayxiKiKi1GN3UfPjhh5g5cyZiY2PRq1cvbNiwAQ4ODti0adNdxw8bNgxPPvkkevbsic6dO+P1119HaGgofvrpJ/0YX19fg893332H4cOHIzg42GBbzs7OBuMcHR2NLZ8s2LnCMpwpKIOtTLxZT42RSCSIfyoELnY2yLqiwqeHLohdEhGRxTGqqamurkZGRgaio6N/34BUiujoaKSlpd13fUEQkJKSgjNnzmDo0KF3HVNQUICdO3dixowZd3yXkJAAT09P9O3bFytXrkRtbW2j+9JoNFCr1QYfsmw7s5QAgCFd28HVwVbkau7k42KHdx7vDQBYs+83nFby/5NERC3JqKamuLgYWq0WPj6GN2D6+PhAqVQ2up5KpYKTkxPkcjnGjh2Ljz/+GCNHjrzr2M2bN8PZ2RlPPfWUwfLXXnsNiYmJOHDgAF588UUsW7YM8+fPb3Sf8fHxcHV11X8CAgKMOFIyRzuzrwEwvejpdk/2bY/onj6o0QqYu+0EahhDERG1GJu22ImzszOOHz+O8vJypKSkIC4uDsHBwRg2bNgdYzdt2oSpU6fCzs7OYHlcXJz+f4eGhkIul+PFF19EfHw8FIo738C8aNEig3XUajUbGwv2W0EZfisoh1wmRXQv8Wc9NUYikWDZU33w60clOHlVjfWp5/HaiK5il0VEZBGMulLj5eUFmUyGgoICg+UFBQXw9W38HgapVIouXbogPDwcb7zxBiZOnIj4+Pg7xv344484c+YMnn/++fvWEhkZidraWly8ePGu3ysUCri4uBh8yHI13CA8pKsXXO1NL3q6nbezHd6tj6HWppxFzjWVyBUREVkGo5oauVyO/v37IyUlRb9Mp9MhJSUFUVFRTd6OTqeDRqO5Y/m//vUv9O/fH2FhYffdxvHjxyGVSuHt7d3k/ZJlEgRB/wLLsSK968lYj4f5I6a3D2p1AuZuy0J1LWMoIqIHZXT8FBcXh+nTpyMiIgIDBw7EmjVrUFFRgdjYWADAtGnT0L59e/2VmPj4eERERKBz587QaDTYtWsXtmzZgvXr1xtsV61WY9u2bVi9evUd+0xLS0N6ejqGDx8OZ2dnpKWlYc6cOXj22Wfh7u7enOMmC/JbQTnOFZp+9HQ7iUSC98eH4EheCXKvq/HJgXOIG9lN7LKIiMya0U3NpEmTUFRUhMWLF0OpVCI8PBzJycn6m4fz8/Mhlf5+AaiiogIvv/wyrly5Ant7e/To0QOfffYZJk2aZLDdxMRECIKAKVOm3LFPhUKBxMREvPPOO9BoNAgKCsKcOXMM7pkh67Uzq+4G4aHd2sHFzrSjp9u1c1Zg6fg+mPXFMfzfgXMY1csHfdq7il0WEZHZkgiCIIhdRFtQq9VwdXWFSqXi/TUWRBAEjPjwIC4UVWDNpHCM79te7JKM9srnmdiZfR09fJ3x3ayHoLCRiV0SEZHJMOb3m+9+IrN2WlmGC0UVkNtIMaKned5f9d4TveHpKMdpZRk+TjkndjlERGaLTQ2ZtYZ3PQ3r1g7OZhQ93c7TSYH3x/cBAKw/eB5ZV0rFLYiIyEyxqSGzJQjC7+96MpNZT415NMQPj4X5Q6sT8MZXJ6Cp1YpdEhGR2WFTQ2Yr93oZLhRXQGEjxYie5jHr6V7ee7w3vJwUOFtYjjX7zopdDhGR2WFTQ2ar4bUIw7q3g5OiTR6O3arcHeVY9mRdDPXpwfM4ln9T5IqIiMwLmxoyS4bRk7/I1bScUb19MT7cHzoBmLvtBKpqGEMRETUVmxoySznX1Lh4o7IueuphnrOeGvPO473RzlmB80UV+HDvb2KXQ0RkNtjUkFlqeC3CIz284WgB0dPt3BzkiH8yBACw8ccLyLhUInJFRETmgU0NmR1LmvXUmOhePpjQrwMEAZi7LQu3qhlDERHdD5saMjsnr6qRX1IJO1spHrGw6Ol2ix/rBR8XBfKKK7DqhzNil0NEZPLY1JDZaYieRvTwgYPcsqKn27na2yJhQigAYNPhPBzJYwxFRHQvbGrIrAiCoJ/KbanR0+2Gd/fGMxF1MdT8r0+gsrpW7JKIiEwWmxoyK9lXVbhccgv2tjIM72650dPt3hrXC36udrh4oxIrkhlDERE1hk0NmZWGG4Qf6ekNe7l1vM3axc4Wy+tjqP/8fBG/XLghckVERKaJTQ2ZDUEQkFTf1IwLsfzo6XZDu7XDlIEBAIB5X59AhYYxFBHRH7GpIbNx4ooKV0tvwUEuwzAriZ5u97cxPdHezR6XS24hYfdpscshIjI5bGrIbOzMqrtBeERPH6uJnm7nfFsMteWXS/j5XLHIFRERmRY2NWQWDB64Z2XR0+0Gd/XCs3/qCACY93UWyhlDERHpsakhs3DscimuqargKJdhWPd2YpcjqkWP9kQHd3tcLb2FZbtyxS6HiMhksKkhs7Cr/ipNdC8f2NlaX/R0O0eFDVZODAMAfJGejx/PFolcERGRaWBTQyZPpxOwK5vR0+2iOntielQnAMCCr7NQVlUjckVEROJjU0MmryF6clLYYGg3646ebrfg0R7o6OGAa6oqfLCTMRQREZsaMnkNNwhH9/S2+ujpdg5yG6x6OgwSCZB49DJSzxSKXRIRkajY1JBJM4ieQv1Frsb0DAzywHODAgEAC7/JhuoWYygisl5sasikZebfhFJdBWeFDYZ09RK7HJM0P6YHAj0doFRX4f2kU2KXQ0QkGjY1ZNIaXoswkrOeGmUvl+ljqG0ZV7D/dIHYJRERiYJNDZksw+iJs57uJSLQA88PDgJQH0NVMoYiIuvDpoZM1q+XbqKwTANnOxsMZvR0X2+M6o7gdo4oLNPg3f/liF0OEVGbY1NDJqvhKs2oXr5Q2DB6uh8727oYSioBvj12FXtPMYYiIuvCpoZMkva26Gkco6cm69fRHTOHBgMA/rY9GzcrqkWuiIio7bCpIZP068USFJZp4GJng4e6MHoyxpzobuji7YSiMg3eYQxFRFakWU3NunXrEBgYCDs7O0RGRuLIkSONjv32228REREBNzc3ODo6Ijw8HFu2bDEY89xzz0EikRh8Ro8ebTCmpKQEU6dOhYuLC9zc3DBjxgyUl5c3p3wyAzsboqfevpDbsPc2hp2tDKufDoNMKsF3x68h+eR1sUsiImoTRv9abN26FXFxcViyZAkyMzMRFhaGmJgYFBbe/WmmHh4eePPNN5GWloasrCzExsYiNjYWe/bsMRg3evRoXL9+Xf/58ssvDb6fOnUqcnJysHfvXiQlJeHQoUN44YUXjC2fzEBd9KQEwFlPzRUW4IYX62Oot3acRAljKCKyAhJBEARjVoiMjMSAAQPwySefAAB0Oh0CAgLw6quvYuHChU3aRr9+/TB27FgsXboUQN2VmtLSUuzYseOu43Nzc9GrVy8cPXoUERERAIDk5GSMGTMGV65cgb///Z80q1ar4erqCpVKBRcXlybVSeJIO38DUzb+Ald7Wxx9M5pXappJU6vFYx//hN8KyjEu1A+f/L9+YpdERGQ0Y36/jfq1qK6uRkZGBqKjo3/fgFSK6OhopKWl3Xd9QRCQkpKCM2fOYOjQoQbfpaamwtvbG927d8dLL72EGzdu6L9LS0uDm5ubvqEBgOjoaEilUqSnp991XxqNBmq12uBD5mFn9jUAQExvHzY0D0BhI8Pqp8Mhk0qQlHVd/w4tIiJLZdQvRnFxMbRaLXx8fAyW+/j4QKlUNrqeSqWCk5MT5HI5xo4di48//hgjR47Ufz969Gj897//RUpKCpYvX46DBw/i0UcfhVarBQAolUp4e3sbbNPGxgYeHh6N7jc+Ph6urq76T0BAgDGHSiKp1eqQfLIheuK7nh5USAdXvDKsMwDg7e9OorhcI3JFREStx6YtduLs7Izjx4+jvLwcKSkpiIuLQ3BwMIYNGwYAmDx5sn5sSEgIQkND0blzZ6SmpmLEiBHN2ueiRYsQFxen/7NarWZjYwaO5JWguLwabg62GNTZU+xyLMKsR7rih1MFOK0sw9s7TuL/pvaDRCIRuywiohZn1JUaLy8vyGQyFBQYPtSroKAAvr6+je9EKkWXLl0QHh6ON954AxMnTkR8fHyj44ODg+Hl5YVz584BAHx9fe+4Ebm2thYlJSWN7lehUMDFxcXgQ6avYdbT6N6+sJUxemoJchspVj0dBhupBLtPKvE/xlBEZKGM+tWQy+Xo378/UlJS9Mt0Oh1SUlIQFRXV5O3odDpoNI1fBr9y5Qpu3LgBP7+6mS9RUVEoLS1FRkaGfsz+/fuh0+kQGRlpzCGQCTOMnjjrqSX1ae+KWY90AQAs/u4kCsuqRK6IiKjlGf1X4bi4OGzcuBGbN29Gbm4uXnrpJVRUVCA2NhYAMG3aNCxatEg/Pj4+Hnv37sWFCxeQm5uL1atXY8uWLXj22WcBAOXl5Zg3bx5++eUXXLx4ESkpKXjiiSfQpUsXxMTEAAB69uyJ0aNHY+bMmThy5AgOHz6MWbNmYfLkyU2a+UTmIT2vBDcqquHuYIuoYEZPLe2V4V3Qy88FpZU1eHP7SRg58ZGIyOQZfU/NpEmTUFRUhMWLF0OpVCI8PBzJycn6m4fz8/Mhlf7eK1VUVODll1/GlStXYG9vjx49euCzzz7DpEmTAAAymQxZWVnYvHkzSktL4e/vj1GjRmHp0qVQKBT67Xz++eeYNWsWRowYAalUigkTJmDt2rUPevxkQpLqY5HRfXxhw+ipxdnKpFj9TBge/+Qn7D1VgO+OX8P4vu3FLouIqMUY/Zwac8Xn1Ji2Wq0OAz7Yh5uVNfhsRiTfyt2KPk45i9V7f4OrvS32zhkKbxc7sUsiImpUqz2nhqi1pF24gZuVNfBwlONPwR5il2PR/jqsM0Lau0J1qwZ/257NGIqILAabGjIJOxk9tRlbWd1sKLlMin25hfg286rYJRERtQj+epDoarQ6JOfUzXoaF8JZT22hu68zZo/sCgB45385UKo4G4qIzB+bGhJd2vkbKK2sgZeTHAODGD21lReGBCMswA1lVbVY+G0WYygiMntsakh0jJ7EYSOTYtXEUMhtpEg9U4Rtv14RuyQiogfCXxAS1e3R09gQPnOorXX1ccYbI7sBAJYmncK10lsiV0RE1HxsakhUh88VQ3WrBl5OCkZPInl+SDD6dnRDmaYWC75hDEVE5otNDYmqIXp6tI8vZFK+ZFEMMqkEq54Og8JGih/PFiPx6GWxSyIiahY2NSSa6lod9uTwXU+moHM7J8yL6Q4AeD/pFK7crBS5IiIi47GpIdEcPlcMdVUt2jkrMCCQ0ZPYYh8KQkQnd1RUaxlDEZFZYlNDoml419MYRk8mQSaVYOXTYbCzleLwuRv4PD1f7JKIiIzCpoZEoanV4odTDdETZz2ZiiAvRywY3QMAsGxXLi6XMIYiIvPBpoZEcfhcMcqqauHtrEBEJ3exy6HbTI8KxMAgD1RWazHv6xPQ6RhDEZF5YFNDotBHTyF+kDJ6MilSqQQrJ4bC3laGXy6U4LP0S2KXRETUJGxqqM1parXYm1MAgLOeTFUnT0csGlMXQ8XvOo1LNypEroiI6P7Y1FCb+/G3YpRpauHjokD/joyeTNWzkZ0QFeyJWzVazNuWxRiKiEwemxpqczuzGT2ZA6lUghUTQ+Eol+HIxRL85+eLYpdERHRPbGqoTVXVaLH3VF30NI7Rk8kL8HDAojE9AQAr9pxGXjFjKCIyXWxqqE0d+q0I5Zpa+LnaoW8AoydzMDWyIwZ38UJVjQ7ztp2AljEUEZkoNjXUphg9mR+JRIKECSFwUtjg10s38e/DeWKXRER0V2xqqM1U1Wix7xRnPZmjDu4OeGtsXQy1cs8ZnCssF7kiIqI7samhNnPwtyJUVGvR3s0efQPcxC6HjDRpQACGdmsHTa0O875mDEVEpodNDbWZnfoH7vlCImH0ZG4kEgkSngqBs8IGx/JL8c8fL4hdEhGRATY11CaqarTYl1sXPY0JYfRkrvzd7PH2Y70AAKv3/oazBWUiV0RE9Ds2NdQmUs8UorI+egpn9GTWnu7fAcO7t0N1rQ5zt51ArVYndklERADY1FAbaXjX09hQP0ZPZk4ikSD+qVC42NngxBUVPj3EGIqITAObGmp1t6q1SMktBACMZfRkEXxd7bDksd4AgDX7fsMZJWMoIhIfmxpqdQfOFOJWjRYd3O0R2sFV7HKohTzVrz2ie3qjRitg7rYTqGEMRUQiY1NDrW4noyeLJJFIsOzJELja2yL7qgobUs+LXRIRWTk2NdSqKqtrkXK6/l1PIf4iV0MtzdvFDu89URdDrd1/FqeuqUWuiIisGZsaalUHThehqkaHjh4O6NPeRexyqBU8HuaPUb18GEMRkeia1dSsW7cOgYGBsLOzQ2RkJI4cOdLo2G+//RYRERFwc3ODo6MjwsPDsWXLFv33NTU1WLBgAUJCQuDo6Ah/f39MmzYN165dM9hOYGAgJBKJwSchIaE55VMb2plddx4ZPVkuiUSCD54MgbuDLU5dV2PdgXNil0REVsropmbr1q2Ii4vDkiVLkJmZibCwMMTExKCwsPCu4z08PPDmm28iLS0NWVlZiI2NRWxsLPbs2QMAqKysRGZmJt5++21kZmbi22+/xZkzZ/D444/fsa333nsP169f139effVVY8unNlShqcX+05z1ZA3aOSvw3hN9AACf7D+Hk1dVIldERNZIIgiCUS9wiYyMxIABA/DJJ58AAHQ6HQICAvDqq69i4cKFTdpGv379MHbsWCxduvSu3x89ehQDBw7EpUuX0LFjRwB1V2pmz56N2bNnG1OunlqthqurK1QqFVxcGIO0hf+duIZXvzyGTp4OSJ07jFdqLJwgCHjli0zsylaih68zvp81GHIbJtxE9GCM+f026r841dXVyMjIQHR09O8bkEoRHR2NtLS0+64vCAJSUlJw5swZDB06tNFxKpUKEokEbm5uBssTEhLg6emJvn37YuXKlaitrW10GxqNBmq12uBDbUs/6ymE0ZM1kEgkWPpEH3g6ynFaWYaP958VuyQisjJGNTXFxcXQarXw8fExWO7j4wOlUtnoeiqVCk5OTpDL5Rg7diw+/vhjjBw58q5jq6qqsGDBAkyZMsWgI3vttdeQmJiIAwcO4MUXX8SyZcswf/78RvcZHx8PV1dX/ScgIMCYQ6UHVK6pxYEz9dFTKKMna+HppMDS8XUx1P+lnkfWlVJxCyIiq2LTFjtxdnbG8ePHUV5ejpSUFMTFxSE4OBjDhg0zGFdTU4NnnnkGgiBg/fr1Bt/FxcXp/3doaCjkcjlefPFFxMfHQ6FQ3LHPRYsWGayjVqvZ2LShlNwCaGp1CPJyRC8/xn3WZEyIH8aF+iEp6zrmbjuB/706GAobmdhlEZEVMKqp8fLygkwmQ0FBgcHygoIC+Pr6NrqeVCpFly5dAADh4eHIzc1FfHy8QVPT0NBcunQJ+/fvv29uFhkZidraWly8eBHdu3e/43uFQnHXZofaBqMn6/beE33wy4Ub+K2gHH/fdxbzR/cQuyQisgJGxU9yuRz9+/dHSkqKfplOp0NKSgqioqKavB2dTgeNRqP/c0NDc/bsWezbtw+enp733cbx48chlUrh7e1tzCFQGyirqkHqb0UAGD1ZKw9HOd4fHwIA2HDwPI5fLhW3ICKyCkbHT3FxcZg+fToiIiIwcOBArFmzBhUVFYiNjQUATJs2De3bt0d8fDyAuntbIiIi0LlzZ2g0GuzatQtbtmzRx0s1NTWYOHEiMjMzkZSUBK1Wq78/x8PDA3K5HGlpaUhPT8fw4cPh7OyMtLQ0zJkzB88++yzc3d1b6p8FtZD9pwtRXatDcDtH9PB1FrscEsnoPr54Itwf3x2/hje+Oo6drw2BnS1jKCJqPUY3NZMmTUJRUREWL14MpVKJ8PBwJCcn628ezs/Ph1T6+wWgiooKvPzyy7hy5Qrs7e3Ro0cPfPbZZ5g0aRIA4OrVq/j+++8B1EVTtztw4ACGDRsGhUKBxMREvPPOO9BoNAgKCsKcOXMM7pkh05FUHz2NY/Rk9d55rDd+Pn8D54sq8NG+37Do0Z5il0REFszo59SYKz6npm2UVdWg/9J9qNbqkDx7CHr48p+1tdt7qgAz//srpBJg218HoX8nXl0loqZrtefUEN3PvtwCVGt16NzOEd19GD0RMLKXD57q1x46AZi37QSqarRil0REFopNDbUo/aynUH9GT6S3ZFxv+LgocKG4Aqv2nBG7HCKyUGxqqMWobtXg0G/FAIBxnPVEt3F1sEXCU6EAgH8dzsOvF0tEroiILBGbGmox+07VRU9dvZ3QjdET/cHwHt54un8HCAIwd9sJ3KpmDEVELYtNDbWYndkN0ROv0tDdvTWuF/xc7XDxRiVW7DktdjlEZGHY1FCLUN2qwY9n6x+4F8Kmhu7O1d4WCRPqYqh/H76IXy7cELkiIrIkbGqoRew9VYAarYDuPs7oyuiJ7uHhbu0weUDde9jmf52FyupakSsiIkvBpoZaxM6sawDqXmZIdD9vju0Jf1c75JdUYvluxlBE1DLY1NADU1XW4MezdbOexoY2/mJTogbOdrZYMTEMALA57RJ+Pl8sckVEZAnY1NAD23NKiVqdgB6+zujizeiJmmZwVy9MjewIoC6GKtcwhiKiB8Omhh6Y/oF7jJ7ISIvG9EQHd3tcuXkL8btyxS6HiMwcmxp6IDcrqnH4XF10MIZTuclITgobrJhYNxvq8/R8/HSWMRQRNR+bGnogP9RHTz39XNC5nZPY5ZAZGtTZC9OiOgEAFnyThbKqGpErIiJzxaaGHkhSffTE1yLQg1gwugc6ejjgauktLGMMRUTNxKaGmq2koho/n697eBqnctODcFTYYGV9DPXlkcs4+FuRyBURkTliU0PN9kOOElqdgN7+LgjychS7HDJzkcGeeG5QIABg4TdZUDOGIiIjsamhZmt41xOv0lBLmT+6OwI9HXBdVYX3k06JXQ4RmRk2NdQsN8o1+uiJU7mppTjIbbDy6TBIJMBXv17BgdOFYpdERGaETQ01y56cAmh1Avq0d0EgoydqQQMCPTDjoSAAwMJvs6CqZAxFRE3DpoaaZWd23buexob4i1wJWaK5Md0R7OWIArUG7ybliF0OEZkJNjVktOJyDdIYPVErsrOVYeXTYZBKgG8zr2LfqQKxSyIiM8CmhoyWfFIJnQCEdnBFR08HscshC9W/kztmDgkGACzano3SymqRKyIiU8emhozGdz1RW5kzshs6t3NEUZkG73zPGIqI7o1NDRmlqEyD9Dw+cI/ahp2tDKufCYdUAuw4fg3JJ5Vil0REJoxNDRklOacuegoLcEOAB6Mnan3hAW548eHOAIC3dmSjpIIxFBHdHZsaMsrOrIZZT74iV0LWZHZ0V3TzcUJxeTWWMIYiokawqaEmKyyrQnpeCQBGT9S2FDYyrHo6DDKpBP87cQ276p9mTUR0OzY11GTJJ5UQhLo4oIM7oydqW6Ed3PDysIYY6iSKyzUiV0REpoZNDTVZUv2sp3GhvEpD4nj1ka7o4euMkopqLP7upNjlEJGJYVNDTVKgrsLRi3XR06OMnkgkchspVj0dBhupBLuylUiqv8eLiAhgU0NNtDv7OgQB6NfRDe3d7MUuh6xYn/aueGV4FwDA2ztOoqiMMRQR1WlWU7Nu3ToEBgbCzs4OkZGROHLkSKNjv/32W0RERMDNzQ2Ojo4IDw/Hli1bDMYIgoDFixfDz88P9vb2iI6OxtmzZw3GlJSUYOrUqXBxcYGbmxtmzJiB8vLy5pRPzbCz/sbMsaF81xOJ75XhXdDLzwU3K2vw1o5sCIIgdklEZAKMbmq2bt2KuLg4LFmyBJmZmQgLC0NMTAwKCwvvOt7DwwNvvvkm0tLSkJWVhdjYWMTGxmLPnj36MStWrMDatWuxYcMGpKenw9HRETExMaiqqtKPmTp1KnJycrB3714kJSXh0KFDeOGFF5pxyGQspaoKv166CQAYw6ncZAIaYihbmQR7cgrw/QnGUEQEQDDSwIEDhVdeeUX/Z61WK/j7+wvx8fFN3kbfvn2Ft956SxAEQdDpdIKvr6+wcuVK/felpaWCQqEQvvzyS0EQBOHUqVMCAOHo0aP6Mbt37xYkEolw9erVJu1TpVIJAASVStXkOqnOpp8uCJ0WJAkT/u+w2KUQGfj7vt+ETguShNB39ggFqltil0NErcCY32+jrtRUV1cjIyMD0dHR+mVSqRTR0dFIS0trSgOFlJQUnDlzBkOHDgUA5OXlQalUGmzT1dUVkZGR+m2mpaXBzc0NERER+jHR0dGQSqVIT0+/6740Gg3UarXBh5qn4V1PfDYNmZqXhnVGn/YuUN2qwd+2M4YisnZGNTXFxcXQarXw8fExWO7j4wOlsvF3sqhUKjg5OUEul2Ps2LH4+OOPMXLkSADQr3evbSqVSnh7ext8b2NjAw8Pj0b3Gx8fD1dXV/0nICDAmEOletdVt26LntjUkGmxlUmx+ulw2Mok2JdbiO3HropdEhGJqE1mPzk7O+P48eM4evQoPvjgA8TFxSE1NbVV97lo0SKoVCr95/Lly626P0u1K7uuaRwQ6A5fVzuRqyG6U3dfZ8yO7gYAeOf7HChVVfdZg4gslVFNjZeXF2QyGQoKCgyWFxQUwNe38RtIpVIpunTpgvDwcLzxxhuYOHEi4uPjAUC/3r226evre8eNyLW1tSgpKWl0vwqFAi4uLgYfMt7v73riVRoyXS8ODUZYB1eoq2qx6NssxlBEVsqopkYul6N///5ISUnRL9PpdEhJSUFUVFSTt6PT6aDR1D1bIigoCL6+vgbbVKvVSE9P128zKioKpaWlyMjI0I/Zv38/dDodIiMjjTkEMsLV0lvIzC+FRMIH7pFps5HVzYaSy6Q4cKYIX2dcEbskIhKB0fFTXFwcNm7ciM2bNyM3NxcvvfQSKioqEBsbCwCYNm0aFi1apB8fHx+PvXv34sKFC8jNzcXq1auxZcsWPPvsswAAiUSC2bNn4/3338f333+P7OxsTJs2Df7+/hg/fjwAoGfPnhg9ejRmzpyJI0eO4PDhw5g1axYmT54Mf38+N6W17K5/Ns2AQA/4uDB6ItPW1ccZcaPqYqj3/ncK11W3RK6IiNqajbErTJo0CUVFRVi8eDGUSiXCw8ORnJysv9E3Pz8fUunvvVJFRQVefvllXLlyBfb29ujRowc+++wzTJo0ST9m/vz5qKiowAsvvIDS0lIMHjwYycnJsLP7/Yf0888/x6xZszBixAhIpVJMmDABa9eufZBjp/vgu57I3MwcEow9OUocyy/Fgm+ysTl2ACQSidhlEVEbkQhWEj6r1Wq4urpCpVLx/pomuHKzEoOXH4BEAqT/bQS8nXmlhszD+aJyjPn7j9DU6pDwVAgmD+wodklE9ACM+f3mu5/ornbXz3oaGOjBhobMSud2Tpg7qjsA4P2dubhayhiKyFqwqaG7Sspm9ETm6y+Dg9C/kzvKNbVY8DVnQxFZCzY1dIfLJZU4cbkUUgkQ04fveiLzI5NKsHJiKOxspfjpXDG+OJIvdklE1AbY1NAddtVfpYkM8mT0RGYruJ0T5sf0AAB8sDMXl0sqRa6IiFobmxq6w876pmYsoycyc88NCsTAQA9UVmsx/+ss6HSMoYgsGZsaMpB/oxJZV1SQSoDRjJ7IzEmlEqx8OhT2tjKkXbiBz9MviV0SEbUiNjVkoOEqTVRnT3g5KUSuhujBdfJ0xMJH62KoZbtOI/8GYygiS8WmhgzszG541xOf1EyW489/6oQ/BXvgVo0Wc78+wRiKyEKxqSG9SzcqcPKqGjKpBDG9fcQuh6jFSKUSrJwYBge5DEfySrA57aLYJRFRK2BTQ3r66CnYE56MnsjCBHg4YNGYngCA5cmncbG4QuSKiKilsakhvZ1ZnPVElm3qwI54qIsnqmp0mLvtBLSMoYgsCpsaAgDkFVcg51pD9MRZT2SZpFIJlk8IhaNchl8v3cS/D+eJXRIRtSA2NQTg9wfuDersCQ9HucjVELWeDu4OeGtcLwDAyj1ncL6oXOSKiKilsKkhAEBSFt/1RNZj8oAADOnqBU2tDvMYQxFZDDY1hPNF5ci9roaNVIJRvRg9keWTSOpiKGeFDTLzS/Gvny6IXRIRtQA2NYRd9VdpHuriBXdGT2Ql/N3s8XZ9DLXqh99wrrBM5IqI6EGxqSG+64ms1tMRHTCseztU1+rwxrYs1Gp1YpdERA+ATY2VO1dYjtPKMtjKJIhh9ERWRiKRIOGpUDjb2eDE5VL840fGUETmjE2NlWuY9fRQFy+4OtiKXA1R2/N1tcOSx3oDANbsPYvfChhDEZkrNjVWTv/AvRBGT2S9JvRrjxE9vFGt1eGNr06ghjEUkVliU2PFzhaU4UxBXfTEWU9kzSQSCZY9FQJXe1tkX1Xh04PnxS6JiJqBTY0Va7hBeEjXdoyeyOr5uNjh3cfrYqi/p5xF7nW1yBURkbHY1FgxRk9Ehp4I98fIXj6o0QqYu40xFJG5YVNjpX4rKMPZwnLIZVJE9/IRuxwikyCRSPDBk33g5mCLnGtq/N8BxlBE5oRNjZVqeC3C0G5ecLVn9ETUwNvZDu890QcA8PH+s8i5phK5IiJqKjY1VkgQBOzMugaAD9wjupvHQv3waB9f1OoEvPHVCVTXMoYiMgdsaqzQbwXlOF9UAbmNFNE9GT0R/ZFEIsHS8X3g4SjHaWUZPtl/VuySiKgJ2NRYoYarNEO7toOzHaMnorvxclJgaX0MtS71PE5eZQxFZOrY1FgZQRCQVD+VexyjJ6J7Ghvqh7GhftDWx1CaWq3YJRHRPbCpsTKnlWW4UB89jejpLXY5RCZv6RN94OUkx5mCMqxNYQxFZMrY1FiZhmfTDOvG6ImoKTwc5Xh/fAgAYH3qeZy4XCpuQUTUqGY1NevWrUNgYCDs7OwQGRmJI0eONDp248aNGDJkCNzd3eHu7o7o6Og7xkskkrt+Vq5cqR8TGBh4x/cJCQnNKd9qCYKgf4owZz0RNd3oPr54PMwfOgGYu+0EqmoYQxGZIqObmq1btyIuLg5LlixBZmYmwsLCEBMTg8LCwruOT01NxZQpU3DgwAGkpaUhICAAo0aNwtWrV/Vjrl+/bvDZtGkTJBIJJkyYYLCt9957z2Dcq6++amz5Vu3UdTXyiiugsJFiBGc9ERnl3cd7w8tJgbOF5VizjzEUkSkyuqn58MMPMXPmTMTGxqJXr17YsGEDHBwcsGnTpruO//zzz/Hyyy8jPDwcPXr0wD//+U/odDqkpKTox/j6+hp8vvvuOwwfPhzBwcEG23J2djYY5+joaGz5Vq0hehre3RtOChuRqyEyL+6Ocix7sm421D8OnUdm/k2RKyKiPzKqqamurkZGRgaio6N/34BUiujoaKSlpTVpG5WVlaipqYGHh8ddvy8oKMDOnTsxY8aMO75LSEiAp6cn+vbti5UrV6K2trbR/Wg0GqjVaoOPNWP0RPTgRvX2xVN92zOGIjJRRjU1xcXF0Gq18PExjC58fHygVCqbtI0FCxbA39/foDG63ebNm+Hs7IynnnrKYPlrr72GxMREHDhwAC+++CKWLVuG+fPnN7qf+Ph4uLq66j8BAQFNqs9S5VxT49KNSihspHikB2c9ETXXksd6w9tZgQtFFVj9wxmxyyGi27Tp7KeEhAQkJiZi+/btsLOzu+uYTZs2YerUqXd8HxcXh2HDhiE0NBR//etfsXr1anz88cfQaDR33c6iRYugUqn0n8uXL7f48ZiThqs0j/TwhiOjJ6Jmc3WwRcKEutlQ//wpDxmXSkSuiIgaGNXUeHl5QSaToaCgwGB5QUEBfH1977nuqlWrkJCQgB9++AGhoaF3HfPjjz/izJkzeP755+9bS2RkJGpra3Hx4sW7fq9QKODi4mLwsVZ173pi9ETUUh7p4YOJ/TtAEIC527Jwq5oxFJEpMKqpkcvl6N+/v8FNvg03/UZFRTW63ooVK7B06VIkJycjIiKi0XH/+te/0L9/f4SFhd23luPHj0MqlcLbm1HK/Zy8qkZ+SSXsbBk9EbWUt8f1gq+LHfKKK7ByD2MoIlNgdPwUFxeHjRs3YvPmzcjNzcVLL72EiooKxMbGAgCmTZuGRYsW6ccvX74cb7/9NjZt2oTAwEAolUoolUqUl5cbbFetVmPbtm13vUqTlpaGNWvW4MSJE7hw4QI+//xzzJkzB88++yzc3d2NPQSrk5Rd966nET184CBn9ETUElztf4+h/v1zHo7kMYYiEpvRTc2kSZOwatUqLF68GOHh4Th+/DiSk5P1Nw/n5+fj+vXr+vHr169HdXU1Jk6cCD8/P/1n1apVBttNTEyEIAiYMmXKHftUKBRITEzEww8/jN69e+ODDz7AnDlz8I9//MPY8q0Ooyei1jOsuzcmRQRAEIB5X59AZXXjMzKJqPVJBEEQxC6iLajVari6ukKlUlnV/TUnLpfiiXWHYW8rQ+bbI2Evl4ldEpFFUVfVYPRHh3BNVYXnBgXincd7i10SkUUx5veb736ycA2znkb09GZDQ9QKXOxssXxi3eSH//x8EWnnb4hcEZH1YlNjwW6PnsYxeiJqNUO6tsP/i+wIoC6GqtAwhiISA5saC3biigpXS2/BQS7DsO6c9UTUmv42pifau9njys1biN+dK3Y5RFaJTY0F25lVP+uppw/sbBk9EbUmJ4UNVtbHUJ/9ko/D54pFrojI+rCpsVAGs55CGD0RtYVBXbzw5z91AgDM/zoLZVU1IldEZF3Y1FioY5dLcU1VBUe5DMO6txO7HCKrsfDRHgjwsMfV0ltYtuu02OUQWRU2NRaq4SpNdC9GT0RtyVFhg5UT656K/uWRfBz6rUjkioisB5saC6TTCdiVzeiJSCx/CvbEc4MCAQALv8mCmjEUUZtgU2OBjl2+ieuqKjgpbDC0G6MnIjHMH90dnTwdcE1VhQ+SOBuKqC2wqbFASfXR00hGT0SicZDXxVASCbD118s4cKZQ7JKILB6bGguj0wnYna0EwOiJSGwDgzzwl4eCANTFUKpbjKGIWhObGguTmX8TSnUVnBU2GNLNS+xyiKze3FHdEezliAK1BkuTToldDpFFY1NjYW6PnhQ2jJ6IxGYvl2Hl06GQSICvM64gJbdA7JKILBabGgtiMOuJ73oiMhn9O3lg5pBgAMCib7NRWlktckVElolNjQX59dJNFJZp4Gxng8FdGT0RmZK4kd3QuZ0jCss0ePd/jKGIWgObGgvS8K6nUb18GT0RmRg7WxlWPR0GqQTYfuwqfshRil0SkcVhU2MhtDoBu07W/UdyHKMnIpPUt6M7XhjaGQDwt+0ncbOCMRRRS2JTYyGOXixBUZkGLnY2eKgLoyciUzU7uiu6ejuhuFyDJd/niF0OkUVhU2MhGt71FNPbF3IbnlYiU9UQQ8mkEnx/4hp219/cT0QPjr9+FkCrE7C7Pnoaw+iJyOSFBbjhpYfrYqi3dpzEjXKNyBURWQY2NRbgSF4Jiss1cLW3xUOdGT0RmYNXR3RBD19n3KioxmLGUEQtgk2NBdiZXTfrKaa3D6MnIjOhsPk9htqZdR1J9bMXiaj5+Ato5mq1OiTXR09jQ/1FroaIjNGnvSteGd4FAPD2jpMoKmMMRfQg2NSYubroqRpuDrYY1NlT7HKIyEizhndBTz8X3KyswVs7siEIgtglEZktNjVmLql+5sTo3r6wlfF0EpkbuY0Uq58Og41Ugj05Bfj+BGMooubir6AZM4yeOOuJyFz18nfBq490BQAs+T4HhWVVIldEZJ7Y1JixXy6UoKSiGu4OtogKZvREZM5eHt4Zvf1dUFpZgze3n2QMRdQMbGrMWMOsp9F9/GDD6InIrNnKpFj9TBhsZRLsPVWAHcevil0SkdnhL6GZMoieQhg9EVmCHr4umB3dDQCw5LscFKgZQxEZg02NmUq7cAM3K2vg4SjHn4I9xC6HiFrIi0ODEdrBFeqqWvztW86GIjIGmxoz1fCup9F9fBk9EVkQG1ndbCi5TIqU04X4JpMxFFFTNevXcN26dQgMDISdnR0iIyNx5MiRRsdu3LgRQ4YMgbu7O9zd3REdHX3H+Oeeew4SicTgM3r0aIMxJSUlmDp1KlxcXODm5oYZM2agvLy8OeWbvRqtDsk5ddHTOEZPRBanq48z5oysi6He/V8OrqtuiVwRkXkwuqnZunUr4uLisGTJEmRmZiIsLAwxMTEoLCy86/jU1FRMmTIFBw4cQFpaGgICAjBq1ChcvWr4t4/Ro0fj+vXr+s+XX35p8P3UqVORk5ODvXv3IikpCYcOHcILL7xgbPkW4efzN1BaWQMvJzkGBjF6IrJEM4cEITzADWVVtVj4DWMooqaQCEb+mxIZGYkBAwbgk08+AQDodDoEBATg1VdfxcKFC++7vlarhbu7Oz755BNMmzYNQN2VmtLSUuzYseOu6+Tm5qJXr144evQoIiIiAADJyckYM2YMrly5An//+78eQK1Ww9XVFSqVCi4uLk08WtM0/+sT+OrXK3j2Tx3x/vgQscsholZyrrAcY9b+iOpaHZZPCMGkAR3FLomozRnz+23UlZrq6mpkZGQgOjr69w1IpYiOjkZaWlqTtlFZWYmamhp4eBheYUhNTYW3tze6d++Ol156CTdu3NB/l5aWBjc3N31DAwDR0dGQSqVIT0+/6340Gg3UarXBxxJU1+qwJ6cAADA2hO96IrJkXbydMHdUXQz1flIurpYyhiK6F6OamuLiYmi1Wvj4+Bgs9/HxgVKpbNI2FixYAH9/f4PGaPTo0fjvf/+LlJQULF++HAcPHsSjjz4KrVYLAFAqlfD29jbYjo2NDTw8PBrdb3x8PFxdXfWfgIAAYw7VZB0+XwzVrRp4OSkYPRFZgRmDg9GvoxvKNLVY+E0WYyiie2jTaTMJCQlITEzE9u3bYWdnp18+efJkPP744wgJCcH48eORlJSEo0ePIjU1tdn7WrRoEVQqlf5z+fLlFjgC8TXMehoT4guZVCJyNUTU2mRSCVY9HQaFjRQ/ni3Gl0cs479lRK3BqKbGy8sLMpkMBQUFBssLCgrg6+t7z3VXrVqFhIQE/PDDDwgNDb3n2ODgYHh5eeHcuXMAAF9f3ztuRK6trUVJSUmj+1UoFHBxcTH4mLvqWh1+qJ/1NIaznoisRnA7J8wf3QMA8MHOU7hcUilyRUSmyaimRi6Xo3///khJSdEv0+l0SElJQVRUVKPrrVixAkuXLkVycrLBfTGNuXLlCm7cuAE/v7of7qioKJSWliIjI0M/Zv/+/dDpdIiMjDTmEMza4XPFUFfVop2zAgMCGT0RWZPYQYEYGOiBimotFnyTBZ2OMRTRHxkdP8XFxWHjxo3YvHkzcnNz8dJLL6GiogKxsbEAgGnTpmHRokX68cuXL8fbb7+NTZs2ITAwEEqlEkqlUv+MmfLycsybNw+//PILLl68iJSUFDzxxBPo0qULYmJiAAA9e/bE6NGjMXPmTBw5cgSHDx/GrFmzMHny5CbNfLIUSQ3RUx9GT0TWRiqVYMXEUNjZSvHz+Rv4/Ei+2CURmRyjm5pJkyZh1apVWLx4McLDw3H8+HEkJyfrbx7Oz8/H9evX9ePXr1+P6upqTJw4EX5+fvrPqlWrAAAymQxZWVl4/PHH0a1bN8yYMQP9+/fHjz/+CIVCod/O559/jh49emDEiBEYM2YMBg8ejH/84x8PevxmQ1OrxQ+n6t/1FGo9jRwR/S7QyxEL62Oo+F25yL/BGIrodkY/p8ZcmftzalJyCzBj86/wdlbgl0UjIOWVGiKrpNMJmLLxF6TnlSAyyANfzvwT/3tAFq3VnlND4vl91pMf/wNGZMWkUglWTgyDg1yG9LwSbPnlktglEZkMNjVmoKpGi72n6macjQvlrCcia9fR0wGLHq2LoRJ2n8bF4gqRKyIyDWxqzMCPZ4tRpqmFr4sd+nV0F7scIjIBUyM7YVBnT9yq0WLe1yc4G4oIbGrMws6sawAYPRHR76RSCZZPCIWjXIajF2/i3z9fFLskItGxqTFxVTVa7Mute/Dg2NB7P+CQiKxLgIcD3hzbCwCwIvk0LhSVi1wRkbjY1Ji4Q78VoVxTCz9XO/QNYPRERIamDAzAkK5e0NTqMO/rLGgZQ5EVY1Nj4nZmc9YTETVOIpEgYUIonBQ2yLh0E5t+yhO7JCLRsKkxYVU1Wuyrn/U0lrOeiKgR7d3s8fa4ngCAlT+cwblCxlBkndjUmLDUM0WoqNaivZs9+ga4iV0OEZmwZyIC8HC3dqiu1WHuthOMocgqsakxYb9HT76QSBg9EVHj6mKoEDjb2eD45VJs/PGC2CURtTk2NSbqVrUWKbkN0RPf9URE9+fnao/F4+pmQ334w284W1AmckVEbYtNjYlKPVOIyvroKayDq9jlEJGZmNi/Ax7p4Y1qrQ5vbDuBWq1O7JKI2gybGhOVVB89jQ31Y/RERE0mkUgQ/1QIXOxskHVFhU8PMYYi68GmxgTdqtZif8MD90I464mIjOPjYod3n+gNAFiz7zecVqpFroiobbCpMUEHzhTiVo0WHdztEcroiYiaYXx4e4zs5YMarYC5206ghjEUWQE2NSZoZxajJyJ6MBKJBB882QduDrY4eVWN9annxS6JqNWxqTExldW1SDldN+tpXAhnPRFR83k72+Hdx+tiqLUpZ5FzTSVyRUSti02Nidl/uhBVNTp09HBAn/YuYpdDRGbu8TB/jO7ti1qdgLnbslBdyxiKLBebGhPD6ImIWpJEIsH7T/aBh6McudfVWHfgnNglEbUaNjUmpEJTi/2nOeuJiFqWl5MC79XPhlp34BxOXmUMRZaJTY0JSTldCE2tDoGeDujtz+iJiFrOuFB/jA3xq4+hTkBTqxW7JKIWx6bGhOzMugYAGBPC6ImIWt57T/SGp6Mcp5Vl+DiFMRRZHjY1JqJcU4vUM0UA6u6nISJqaZ5OCrw/vg8AYP3B88i6UipuQUQtjE2NiUjJLYCmVocgL0f08mP0RESt49EQPzwW5g+tTsAbXzGGIsvCpsZE6Gc9MXoiolb23uO94eWkwNnCcqzZd1bscohaDJsaE1BWVYPU3xg9EVHbcHeUY9mTdTHUpwfP41j+TZErImoZbGpMQEpuIaprdQhu54gevs5il0NEVmBUb1882bc9dAIwd9sJVNUwhiLzx6bGBCTVR0/jGD0RURta8lgveDsrcL6oAh/t/U3scogeGJsakamranBIHz3xXU9E1HbcHOSIfyoEAPCPHy8g41KJyBURPRg2NSLbd6oA1Vodung7oZuPk9jlEJGVGdHTBxP6dYAgAHO3ZeFWNWMoMl9sakTWMOuJD9wjIrEsfqwXfFwUyCuuwKofzohdDlGzNaupWbduHQIDA2FnZ4fIyEgcOXKk0bEbN27EkCFD4O7uDnd3d0RHRxuMr6mpwYIFCxASEgJHR0f4+/tj2rRpuHbtmsF2AgMDIZFIDD4JCQnNKd9kqG7V4MezxQCAcZz1REQicbW3RcKEUADApsN5OJLHGIrMk9FNzdatWxEXF4clS5YgMzMTYWFhiImJQWFh4V3Hp6amYsqUKThw4ADS0tIQEBCAUaNG4erVqwCAyspKZGZm4u2330ZmZia+/fZbnDlzBo8//vgd23rvvfdw/fp1/efVV181tnyT0hA9dfV2QjcfznoiIvEM7+6NZyLqYqj5X59AZXWt2CURGU0iCIJgzAqRkZEYMGAAPvnkEwCATqdDQEAAXn31VSxcuPC+62u1Wri7u+OTTz7BtGnT7jrm6NGjGDhwIC5duoSOHTsCqLtSM3v2bMyePduYcvXUajVcXV2hUqng4mIaT+z9y3+OYv/pQsyO7orZ0d3ELoeIrJy6qgYxHx3CdVUVnhsUiHce7y12SURG/X4bdaWmuroaGRkZiI6O/n0DUimio6ORlpbWpG1UVlaipqYGHh4ejY5RqVSQSCRwc3MzWJ6QkABPT0/07dsXK1euRG1t43+T0Gg0UKvVBh9ToqqswY9n62c9hTB6IiLxudjZYnl9DPWfny/ilws3RK6IyDhGNTXFxcXQarXw8fExWO7j4wOlUtmkbSxYsAD+/v4GjdHtqqqqsGDBAkyZMsWgI3vttdeQmJiIAwcO4MUXX8SyZcswf/78RvcTHx8PV1dX/ScgIKBJ9bWVH04pUaMV0N3HGV0ZPRGRiRjarR2mDKy7Qj7v6xOo0DCGIvPRprOfEhISkJiYiO3bt8POzu6O72tqavDMM89AEASsX7/e4Lu4uDgMGzYMoaGh+Otf/4rVq1fj448/hkajueu+Fi1aBJVKpf9cvny5VY6puXZm17/riTcIE5GJeXNsT7R3s8flkltYnnxa7HKImsyopsbLywsymQwFBQUGywsKCuDr63vPdVetWoWEhAT88MMPCA0NveP7hobm0qVL2Lt3731zs8jISNTW1uLixYt3/V6hUMDFxcXgYypKK6vxU/2spzGMnojIxDgpbLBiYt1/p/+bdgk/nysWuSKipjGqqZHL5ejfvz9SUlL0y3Q6HVJSUhAVFdXoeitWrMDSpUuRnJyMiIiIO75vaGjOnj2Lffv2wdPT8761HD9+HFKpFN7e3sYcgkn4IacAtToBPXyd0cWbD9wjItPzUBcvPPunhhgqC+WMocgM2Bi7QlxcHKZPn46IiAgMHDgQa9asQUVFBWJjYwEA06ZNQ/v27REfHw8AWL58ORYvXowvvvgCgYGB+ntvnJyc4OTkhJqaGkycOBGZmZlISkqCVqvVj/Hw8IBcLkdaWhrS09MxfPhwODs7Iy0tDXPmzMGzzz4Ld3f3lvpn0Wb00ROv0hCRCVv0aE+kninClZu3sGxXLpY9GSJ2SUT3ZHRTM2nSJBQVFWHx4sVQKpUIDw9HcnKy/ubh/Px8SKW/XwBav349qqurMXHiRIPtLFmyBO+88w6uXr2K77//HgAQHh5uMObAgQMYNmwYFAoFEhMT8c4770Cj0SAoKAhz5sxBXFycseWL7mZFNQ7XX8odw/tpiMiEOSpssHJiGKZs/AVfpOfj0T6+GNK1ndhlETXK6OfUmCtTeU7N1qP5WPBNNnr6uWD360NEq4OIqKmWfHcSm9Muwd/VDnvmDIWzna3YJZEVabXn1NCDS6p/1xNfi0BE5mLBoz3Q0cMB11RV+GBnrtjlEDWKTU0bKqmoxs/n6x5mxVlPRGQuHOQ2WPV0GCQSIPHoZaSeuftrcYjExqamDe3JUUKrE9Db3wVBXo5il0NE1GQDgzwQOygIALDwm2yobtWIXBHRndjUtKGdWXzgHhGZr3kx3RHk5QilugrvJ50SuxyiO7CpaSM3yjX4+XzdrCdO5SYic2Qvl2HlxFBIJMC2jCvYf7rg/isRtSE2NW0kOUcJnQD0ae+CTp6MnojIPEUEeuD5wbfFUJWMoch0sKlpI7v0D9zzF7kSIqIH88ao7ghu54jCMg3e/V+O2OUQ6bGpaQPF5Rqk1c96YvRERObOzlaGVU+HQSoBvj12FXtPMYYi08Cmpg0kn6yLnkI7uKKjp4PY5RARPbB+Hd0xc2gwAOBv27Nxs6Ja5IqI2NS0Cf2sJ16lISILMie6G7p4O6GoTIN3GEORCWBT08oKy6qQnscH7hGR5bGzlWH102GQSSX47vg1JJ+8LnZJZOXY1LSyPfXRU1iAGwI8GD0RkWUJC3DDXx+ui6He2nESJYyhSERsalqZ/l1PvEpDRBbqtRFd0d3HGcXl1Vj83UmxyyErxqamFRWqq3DkYgkA4NEQX5GrISJqHQqbutlQMqkESVnX9fcRErU1NjWtaPdJJQQBCA9wQwd3Rk9EZLlCOrjilWGdAQBvf3cSxeUakSsia8SmphXtrH/g3ji+64mIrMCsR7qih68zSiqq8faOkxAEQeySyMqwqWklBeoqHNVHT2xqiMjyyW2kWP1MGGykEuw+qdTfU0jUVtjUtJLd2dchCEC/jm5o72YvdjlERG2it78rZj3SBUBdDFVYViVyRWRN2NS0koboaWwo3/VERNblleFd0MvPBaWVNXhzO2MoajtsalqBUlWFoxdvAgDGcNYTEVkZW1ldDGUrk2DvqQJ8d/ya2CWRlWBT0woa3sgd0ckdfq6MnojI+vT0c8HrI7oCAJZ8n4NCNWMoan1salrB79ETbxAmIuv114c7I6S9K1S3avC37dmMoajVsalpYddKbyHj0k1IJMCjfdjUEJH1sqmPoeQyKfblFuLbzKtil0QWjk1NC7s9evJ1tRO5GiIicXXzccbskXUx1Dv/y4FSxRiKWg+bmhbW0NSM5bNpiIgAAC8MCUZYgBvKqmqx8NssxlDUatjUtKCrpbeQmV9aFz2xqSEiAlAfQz0dCrmNFKlnirAt44rYJZGFYlPTgnbXX6UZEOgBHxdGT0REDbp4O+ONkd0AAEv/dwrXSm+JXBFZIjY1LajhkeB81xMR0Z2eHxKMvh3dUKapxYJvGENRy2NT00Iul1Ti+OW66Gl0Hz5wj4joj2RSCVY9HQaFjRQ/ni1G4tHLYpdEFoZNTQvZfbLuKk1kkAe8nRk9ERHdTed2TpgX0x0A8MHOXFy5WSlyRWRJ2NS0kJ1ZfNcTEVFTxD4UhAGB7ihnDEUtrFlNzbp16xAYGAg7OztERkbiyJEjjY7duHEjhgwZAnd3d7i7uyM6OvqO8YIgYPHixfDz84O9vT2io6Nx9uxZgzElJSWYOnUqXFxc4ObmhhkzZqC8vLw55be4yyWVOHFFBakEGN2b0RMR0b3IpBKsnBgGO1spDp+7gc/T88UuiSyE0U3N1q1bERcXhyVLliAzMxNhYWGIiYlBYWHhXcenpqZiypQpOHDgANLS0hAQEIBRo0bh6tXfnyy5YsUKrF27Fhs2bEB6ejocHR0RExODqqrfH9I0depU5OTkYO/evUhKSsKhQ4fwwgsvNOOQW17DaxEigzzRzlkhcjVERKYv0MsRC0b3AAAs25WLyyWMoagFCEYaOHCg8Morr+j/rNVqBX9/fyE+Pr5J69fW1grOzs7C5s2bBUEQBJ1OJ/j6+gorV67UjyktLRUUCoXw5ZdfCoIgCKdOnRIACEePHtWP2b17tyCRSISrV682ab8qlUoAIKhUqiaNN8ZjH/8odFqQJGxJu9ji2yYislRarU54esPPQqcFScKkT38WtFqd2CWRCTLm99vGmAaouroaGRkZWLRokX6ZVCpFdHQ00tLSmrSNyspK1NTUwMPDAwCQl5cHpVKJ6Oho/RhXV1dERkYiLS0NkydPRlpaGtzc3BAREaEfEx0dDalUivT0dDz55JN37Eej0UCj0ej/rFarjTnUJsu/UYmshuiJs56IiJpMKpVg1cQwjP77IfxyoQSvfnkM3i682m3O+ndyxzgR7y01qqkpLi6GVquFj4+PwXIfHx+cPn26SdtYsGAB/P399U2MUqnUb+OP22z4TqlUwtvb27BwGxt4eHjox/xRfHw83n333SbV9CAaoqeozp7wcuK/jERExujo6YCFj/bA4u9y9P89JfOlqdWZT1PzoBISEpCYmIjU1FTY2bXutOdFixYhLi5O/2e1Wo2AgIAW3090T2+oq2rQx9+1xbdNRGQNno3sBBupFFdLeV+NuQvr4Cbq/o1qary8vCCTyVBQUGCwvKCgAL6+945eVq1ahYSEBOzbtw+hoaH65Q3rFRQUwM/v9yfxFhQUIDw8XD/mjzci19bWoqSkpNH9KhQKKBStf+Wkq4+z/mY3IiIynlQqwf+L7Ch2GWQBjJr9JJfL0b9/f6SkpOiX6XQ6pKSkICoqqtH1VqxYgaVLlyI5OdngvhgACAoKgq+vr8E21Wo10tPT9duMiopCaWkpMjIy9GP2798PnU6HyMhIYw6BiIiILJTR8VNcXBymT5+OiIgIDBw4EGvWrEFFRQViY2MBANOmTUP79u0RHx8PAFi+fDkWL16ML774AoGBgfp7YJycnODk5ASJRILZs2fj/fffR9euXREUFIS3334b/v7+GD9+PACgZ8+eGD16NGbOnIkNGzagpqYGs2bNwuTJk+Hvz4fdERERUTOamkmTJqGoqAiLFy+GUqlEeHg4kpOT9Tf65ufnQyr9/QLQ+vXrUV1djYkTJxpsZ8mSJXjnnXcAAPPnz0dFRQVeeOEFlJaWYvDgwUhOTja47+bzzz/HrFmzMGLECEilUkyYMAFr165tzjETERGRBZIIgnU8n1qtVsPV1RUqlQouLi5il0NERERNYMzvN9/9RERERBaBTQ0RERFZBDY1REREZBHY1BAREZFFYFNDREREFoFNDREREVkENjVERERkEdjUEBERkUVgU0NEREQWwejXJJirhgcnq9VqkSshIiKipmr43W7KCxCspqkpKysDAAQEBIhcCRERERmrrKwMrq6u9xxjNe9+0ul0uHbtGpydnSGRSFp022q1GgEBAbh8+bJFvleKx2f+LP0YeXzmz9KP0dKPD2i9YxQEAWVlZfD39zd4YfbdWM2VGqlUig4dOrTqPlxcXCz2/6wAj88SWPox8vjMn6Ufo6UfH9A6x3i/KzQNeKMwERERWQQ2NURERGQR2NS0AIVCgSVLlkChUIhdSqvg8Zk/Sz9GHp/5s/RjtPTjA0zjGK3mRmEiIiKybLxSQ0RERBaBTQ0RERFZBDY1REREZBHY1BAREZFFYFNzH4cOHcJjjz0Gf39/SCQS7Nix477rpKamol+/flAoFOjSpQv+85//tHqdD8LYY0xNTYVEIrnjo1Qq26ZgI8THx2PAgAFwdnaGt7c3xo8fjzNnztx3vW3btqFHjx6ws7NDSEgIdu3a1QbVNk9zjvE///nPHefPzs6ujSo2zvr16xEaGqp/oFdUVBR27959z3XM6fwBxh+jOZ2/u0lISIBEIsHs2bPvOc7czmODphyfuZ3Dd9555456e/Tocc91xDh/bGruo6KiAmFhYVi3bl2Txufl5WHs2LEYPnw4jh8/jtmzZ+P555/Hnj17WrnS5jP2GBucOXMG169f13+8vb1bqcLmO3jwIF555RX88ssv2Lt3L2pqajBq1ChUVFQ0us7PP/+MKVOmYMaMGTh27BjGjx+P8ePH4+TJk21YedM15xiBuqd+3n7+Ll261EYVG6dDhw5ISEhARkYGfv31VzzyyCN44oknkJOTc9fx5nb+AOOPETCf8/dHR48exaefforQ0NB7jjPH8wg0/fgA8zuHvXv3Nqj3p59+anSsaOdPoCYDIGzfvv2eY+bPny/07t3bYNmkSZOEmJiYVqys5TTlGA8cOCAAEG7evNkmNbWkwsJCAYBw8ODBRsc888wzwtixYw2WRUZGCi+++GJrl9cimnKM//73vwVXV9e2K6qFubu7C//85z/v+p25n78G9zpGcz1/ZWVlQteuXYW9e/cKDz/8sPD66683OtYcz6Mxx2du53DJkiVCWFhYk8eLdf54paaFpaWlITo62mBZTEwM0tLSRKqo9YSHh8PPzw8jR47E4cOHxS6nSVQqFQDAw8Oj0THmfg6bcowAUF5ejk6dOiEgIOC+VwVMhVarRWJiIioqKhAVFXXXMeZ+/ppyjIB5nr9XXnkFY8eOveP83I05nkdjjg8wv3N49uxZ+Pv7Izg4GFOnTkV+fn6jY8U6f1bzQsu2olQq4ePjY7DMx8cHarUat27dgr29vUiVtRw/Pz9s2LABERER0Gg0+Oc//4lhw4YhPT0d/fr1E7u8Rul0OsyePRsPPfQQ+vTp0+i4xs6hKd4z9EdNPcbu3btj06ZNCA0NhUqlwqpVqzBo0CDk5OS0+otfmyM7OxtRUVGoqqqCk5MTtm/fjl69et11rLmeP2OO0dzOHwAkJiYiMzMTR48ebdJ4czuPxh6fuZ3DyMhI/Oc//0H37t1x/fp1vPvuuxgyZAhOnjwJZ2fnO8aLdf7Y1JDRunfvju7du+v/PGjQIJw/fx4fffQRtmzZImJl9/bKK6/g5MmT98yBzV1TjzEqKsrgKsCgQYPQs2dPfPrpp1i6dGlrl2m07t274/jx41CpVPj6668xffp0HDx4sNEffXNkzDGa2/m7fPkyXn/9dezdu9ekb4ZtruYcn7mdw0cffVT/v0NDQxEZGYlOnTrhq6++wowZM0SszBCbmhbm6+uLgoICg2UFBQVwcXGxiKs0jRk4cKBJNwuzZs1CUlISDh06dN+/BTV2Dn19fVuzxAdmzDH+ka2tLfr27Ytz5861UnUPRi6Xo0uXLgCA/v374+jRo/j73/+OTz/99I6x5nr+jDnGPzL185eRkYHCwkKDK7larRaHDh3CJ598Ao1GA5lMZrCOOZ3H5hzfH5n6OfwjNzc3dOvWrdF6xTp/vKemhUVFRSElJcVg2d69e++ZjVuC48ePw8/PT+wy7iAIAmbNmoXt27dj//79CAoKuu865nYOm3OMf6TVapGdnW2S5/BudDodNBrNXb8zt/PXmHsd4x+Z+vkbMWIEsrOzcfz4cf0nIiICU6dOxfHjx+/6g29O57E5x/dHpn4O/6i8vBznz59vtF7Rzl+r3oZsAcrKyoRjx44Jx44dEwAIH374oXDs2DHh0qVLgiAIwsKFC4U///nP+vEXLlwQHBwchHnz5gm5ubnCunXrBJlMJiQnJ4t1CPdl7DF+9NFHwo4dO4SzZ88K2dnZwuuvvy5IpVJh3759Yh1Co1566SXB1dVVSE1NFa5fv67/VFZW6sf8+c9/FhYuXKj/8+HDhwUbGxth1apVQm5urrBkyRLB1tZWyM7OFuMQ7qs5x/juu+8Ke/bsEc6fPy9kZGQIkydPFuzs7IScnBwxDuGeFi5cKBw8eFDIy8sTsrKyhIULFwoSiUT44YcfBEEw//MnCMYfozmdv8b8cXaQJZzH293v+MztHL7xxhtCamqqkJeXJxw+fFiIjo4WvLy8hMLCQkEQTOf8sam5j4bpy3/8TJ8+XRAEQZg+fbrw8MMP37FOeHi4IJfLheDgYOHf//53m9dtDGOPcfny5ULnzp0FOzs7wcPDQxg2bJiwf/9+cYq/j7sdFwCDc/Lwww/rj7XBV199JXTr1k2Qy+VC7969hZ07d7Zt4UZozjHOnj1b6NixoyCXywUfHx9hzJgxQmZmZtsX3wR/+ctfhE6dOglyuVxo166dMGLECP2PvSCY//kTBOOP0ZzOX2P++KNvCefxdvc7PnM7h5MmTRL8/PwEuVwutG/fXpg0aZJw7tw5/femcv4kgiAIrXstiIiIiKj18Z4aIiIisghsaoiIiMgisKkhIiIii8CmhoiIiCwCmxoiIiKyCGxqiIiIyCKwqSEiIiKLwKaGiIiILAKbGiIiIrIIbGqIiIjIIrCpISIiIovApoaIiIgswv8HRsfuOXxIOeoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf.plot()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cdf = pmf.make_cdf()\n",
    "cdf.plot()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cdf.step()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "surv = cdf.make_surv()\n",
    "surv.plot()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "surv = cdf.make_surv()\n",
    "surv.step()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "haz = surv.make_hazard()\n",
    "haz.plot()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "haz.bar()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Replicating a problem with plotting Pmfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "unbiased = np.array([ 5,  6, 12,  7,  8,  6,  6,  9,  8,  4,  3,  5,  5,  7,  5,  7,  4,\n",
    "        4,  3,  6,  3,  5, 10,  1,  7,  4,  8,  2,  9,  6,  5,  5,  9, 11,\n",
    "       11,  3,  9,  1, 10,  1,  6,  6,  5,  8,  7,  7,  4,  7,  2,  1,  3,\n",
    "        1,  6,  3,  1,  1,  2,  2,  1,  2,  2,  1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "pmf = Pmf.from_seq(unbiased)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf.bar(label='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9f117d75b0>]"
      ]
     },
     "execution_count": 26,
     "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": [
    "from scipy.stats import poisson\n",
    "\n",
    "mean = np.mean(unbiased)\n",
    "\n",
    "qs = np.arange(1, 13)\n",
    "ps = poisson.pmf(qs, mean)\n",
    "plt.plot(qs, ps, color='C1', label='model')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9f114a1600>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uXbvKMLH4rLXvQs5uqFIXOgw1nSZw1WgMcSPdy8smg2WZzSMifsGjUlOzZk0cDsdpRx1lZWWddRKwp6pWrcpll13Gtm3bAIiKiiIvL49Dhw6d9+uGhoYSHh5e7CYBLv/EH7bShJnNE+hi74fgipD5vSYNi0iZ8KjUhISEEBMTQ0rKyX+AXC4XKSkpxMXFlVmoI0eOsH37durUqQNATEwMwcHBxV53y5YtZGRklOnrip9LewcO74XwS6DDENNppGJ1iPl9TtPyyWaziIhfCPL0CUlJSQwdOpSOHTvSuXNnpkyZwtGjRxk2zP2P05AhQ6hXrx7JycmAe3Lxxo0bi5Z3795Neno6lStXpkmTJgD85S9/4frrr+fSSy9lz549jB8/HofDwaBBgwCIiIhg+PDhJCUlUb16dcLDw3nwwQeJi4vjiiuuKJMPQvxc/vGTX5xXPuy+LpGY1yURVs+An7+Bn1PhUv1PioiUnselZuDAgezfv59x48aRmZlJu3btmD9/ftHk4YyMDOz2kxuA9uzZQ/v27Yt+nzhxIhMnTqRHjx4sXrwYgF9++YVBgwbx66+/UqtWLbp168bKlSupVatW0fP+8Y9/YLfb6d+/P7m5uSQkJPDaa6+V9n1LoFkzE45kQUQDaHeH6TRSKLwutBvknuu0fDJc+rHpRCLiw2yWFRgz9HJycoiIiCA7O1vzawJN3lF4uS0c3Q/XvwIxmiDsVX7dDlM7guWC+5ZBnTamE4mIF/Hk+9srjn4Suai+fctdaKpeCu1uN51G/qhGY2jRz728/B9Go4iIb1OpEf+WewS+meJe7vEoOIKNxpEz6J7k/rlxjnvLjYhIKajUiH/79g33laGrNYQ2t5lOI2cS1RqaJrh3QRWWUBERD3k8UVhKFv34PCOvu3NCXyOv6xNyD8M3v19Ascdj4NAfd6/WPQm2/hfSP4Aej0NEPdOJRMTHaEuN+K9V/4Tjv0GNJtB6gOk0ci4NroBLu4IrH1KnmU4jIj5IpUb804lsWPGqe1lbaXxH4dyatLfh6K9ms4iIz1GpEf+06p9w4hDUvAxa9TedRs5X494Q1Qbyj8Gq6abTiIiPUakR/3P8EKyY6l7u8RjYHUbjiAdsNuj+sHt59T/d86JERM6TSo34n5WvQ2421GoOLW8ynUY81fx6qNHUvQtxzUzTaUTEh6jUiH85/hus/P3yGT21lcYn2R3QbbR7OXWa++rqIiLnQaVG/EvqNMjNgdotofmNptNIabW+1X019SNZkP6+6TQi4iNUasR/HDvo3vUE0PNxsOuPt88KCoEuD7qXv3kZnAVm84iIT9C/+uI/VrwKeUfcZ6dtdp3pNHKhOgyBijXg0M+w4VPTaUTEB6jUiH84esB9GDdAz7HaSuMPQirCFX92Ly+bDC6X2Twi4vX0L7/4h29ehvyjUKctXH6t6TRSVjrdAyFVYP8m+PE/ptOIiJdTqRHfd2QffPume7nnE+5znYh/qFAVOt/jXl42CSzLaBwR8W4qNeL7vnnZfQbauh3gsgTTaaSsXfFnCAqD3WmwY6npNCLixVRqxLcdzjy5laaXttL4pcq1of2d7uVlk8xmERGvplIjvm35FCg4AZd0gibxptPIxdL1IbAHwY4l8Eua6TQi4qVUasR35ew9eRr9nmO1lcafVW3gPiEfwPLJZrOIiNdSqRHftXwyOHOh/hXQ+CrTaeRi6zYasMHmubBvs+k0IuKFVGrEN2XvhrR33Mu9tJUmINS6HJr/flLF5f8wm0VEvJJKjfimZZPAmQeXdoWGPUynkfLSLcn984eP4bedRqOIiPdRqRHfc2gXrH3Xvay5NIGlXgdo1Assp/uyGCIip1CpEd+zbCK48iG6OzTsbjqNlLfuD7t/rv03HM4ym0VEvIpKjfiW336Gde+5l3s9YTaLmBHdzX0IvzMXVk4znUZEvIhKjfiWla+DqwAa9YRLu5hOIybYbCe31nw7E47/ZjaPiHgNlRrxHS4nrP8/93LsA2aziFlNE6B2S8g7DKvfNJ1GRLyESo34jp3L4eg+CKuq89IEOrsduo1xL696HfKOms0jIl5BpUZ8R+FWmhY3QFCI2SxiXsuboFo0HPv15NFwIhLQVGrENxTkwaYv3Mut+pvNIt7BEQRdR7uXV7zq/jMiIgFNpUZ8w0+L3RNCK9V2H8otAtDudqgcBTm74fsPTacREcNUasQ3FO56atkP7A6jUcSLBIVCl0T38vJ/uCeTi0jAUqkR75d/HDbPcy9r15P8Ucww9+Txg9th4+em04iIQSo14v22LnAfuht+CVzS2XQa8TahlSH2fvfy8slgWWbziIgxQaYDiJxT4a6nVje7D+UNUNGPzzPyujsn9D3r416RK/Y+92ThzB9g20Jo+icjmUTErMD9hhDfkHsYfvyve1m7nuRMKlaHjsPcy8smmc0iIsao1Ih32zIfCo5D9cZQp63pNOLN4kaCIwQyUuHnFabTiIgBKjXi3Yp2PfV3X/NH5EzC67oP8QZYNtlsFhExolSlZtq0aURHRxMWFkZsbCyrV68+49gNGzbQv39/oqOjsdlsTJky5bQxycnJdOrUiSpVqlC7dm369evHli1bio3p2bMnNput2O3+++8vTXzxFcd/c8+PAO16kvPTdRTY7LBtAez93nQaESlnHpeaDz/8kKSkJMaPH8/atWtp27YtCQkJ7Nu3r8Txx44do1GjRkyYMIGoqKgSxyxZsoSRI0eycuVKFixYQH5+PldffTVHjxa/nsuIESPYu3dv0e3FF1/0NL74kk1fgivffeHC2s1MpxFfUL0RtLzZvbxcW2tEAo3HRz9NnjyZESNGMGyYe1Le9OnTmTdvHjNnzuTxxx8/bXynTp3o1KkTQImPA8yfP7/Y7++88w61a9cmLS2NK6+8suj+ihUrnrEYiR869agnkfPVbQys/wQ2zIFe26BmE9OJRKSceLSlJi8vj7S0NOLj40+uwG4nPj6e1NTUMguVnZ0NQPXq1Yvd//7771OzZk1atWrF2LFjOXbs2BnXkZubS05OTrGb+JAj+2DHUveySo14IqoVXNYHsOCbKabTiEg58qjUHDhwAKfTSWRkZLH7IyMjyczMLJNALpeL0aNH07VrV1q1alV0/+233857773HokWLGDt2LP/+97+54447zrie5ORkIiIiim7169cvk3xSTjZ+DpYL6nZw71IQ8UT3h90/v5sN2b+YzSIi5cbrTr43cuRI1q9fz/Lly4vdf++99xYtt27dmjp16tC7d2+2b99O48aNT1vP2LFjSUpKKvo9JydHxcaXnHrUk4in6nd2X/h05zJYMRWumWA6kYiUA4+21NSsWROHw0FWVlax+7OysspkrktiYiJz585l0aJFXHLJJWcdGxsbC8C2bdtKfDw0NJTw8PBiN/ER2b+4zzUC0PIms1nEd3Ub4/659l9w9IDZLCJSLjwqNSEhIcTExJCSklJ0n8vlIiUlhbi4uFKHsCyLxMREPvvsM77++msaNmx4zuekp6cDUKdOnVK/rnipDZ+5fzboAhH1zGYR39X4KqjTDvKPwarpptOISDnw+JDupKQk3njjDf71r3+xadMmHnjgAY4ePVp0NNSQIUMYO3Zs0fi8vDzS09NJT08nLy+P3bt3k56eXmwLy8iRI3nvvfeYNWsWVapUITMzk8zMTI4fPw7A9u3befbZZ0lLS2Pnzp188cUXDBkyhCuvvJI2bdpc6Gcg3kZHPUlZsNmg+++7oFfPgBM6WEDE33k8p2bgwIHs37+fcePGkZmZSbt27Zg/f37R5OGMjAzsp1x0cM+ePbRv377o94kTJzJx4kR69OjB4sWLAXj99dcB9wn2TvX2229z1113ERISwsKFC5kyZQpHjx6lfv369O/fn6eeesrT+OLtft0Oe9a5T6DWop/pNOLrml0PNS+DAz/CmpnQbbTpRCJyEZVqonBiYiKJiYklPlZYVApFR0djWdZZ13eux+vXr8+SJUs8yig+asOn7p8Ne0DlWmaziO+z291za+Y8AKnT3FfzDq5gOpWIXCS69pN4l/W/l5rWt5jNIf6j9QCIqA9H90H6+6bTiMhFpFIj3iNrI+zbCPZgaHad6TTiLxzB0OUh9/I3L4Mz32weEbloVGrEexTuemr6J6hQ1WgU8TMd7oRKteBQxsmJ6CLid1RqxDtYlk64JxdPcAW44gH38vJ/gMtlNo+IXBQqNeId9qbDwZ8gqMLv1+0RKWOd7oHQcNi/GbZ8ZTqNiFwEKjXiHQq30lzeB0Irm80i/iksAjqPcC8vn+zeOigifkWlRsxzuU4e9aRdT3IxxT4AQWGwOw126DQRIv5GpUbM27UKcnZDSBVo8ifTacSfVa4FHYa6l5dNMptFRMqcSo2YV7jrqfl1EBxmNov4vy4Pgj0IdiyFX9aYTiMiZUilRsxyFsDGOe5l7XqS8lC1PrQZ6F5eNtlsFhEpUyo1YtbOZXB0P1SoBo16mk4jgaLraMAGW+a5T/ooIn5BpUbMKtz11OJG95lfRcpDrcug+fXu5W+mGI0iImVHpUbMKciDTV+4l7XrScpb9yT3zx8+gd92Go0iImVDpUbM2f41nMiGypFwaVfTaSTQ1G0PjXuD5YRvXjGdRkTKgEqNmFO466nlTWB3mM0igalwa8269+BwptksInLBVGrEjLxjJ09V3+oWs1kkcF3aFerHgjMXUqeZTiMiF0ilRszY+j/IOwIRDeCSjqbTSKCy2aD7w+7lNTPh+G9m84jIBQkyHUACVNEVuW92f7GIlLHox+ed50iL/4Q0oHleBpP+/hdedd58wa+9c0LfC16HiHhOW2qk/J3IcW+pAR31JF7AxmsFNwAwLGg+FThhOI+IlJZKjZS/Lf+BghNQoylEtTadRoR5rivY4Yqkuu0IgxyLTMcRkVJSqZHyV7Trqb92PYlXcGHnn073yfhGBM0jhHzDiUSkNFRqpHwdOwjbU9zLrS587oJIWfnU2Z1Mqxp1bAfp51huOo6IlIJKjZSvTV+AqwAiW0Oty02nESmSRzBvFFwLwAOOL7DjMpxIRDylUiPl69SjnkS8zAfO3vxmVaahPYu+9pWm44iIh1RqpPwczoQdy9zLKjXihY4RxtsFfQD4c9Dn2LS1RsSnqNRI+dn4OWBBvY5QLdp0GpESveO8msNWBZrbd9Hbvs50HBHxgEqNlJ9Tj3oS8VI5VObfzj8BkBj0GWCZDSQi502lRsrHoQzYtQqwQct+ptOInNVbBddw3Aqhnf0nutt/MB1HRM6TSo2Ujw2fuX9e2hXC65rNInIOvxLBLGdvABKD5pgNIyLnTaVGykfhrqfW2vUkvmFGQV9yrSBi7ZvpZNtsOo6InAeVGrn4DmyDvd+BzQHNbzSdRuS8ZFGdT5w9AG2tEfEVKjVy8W341P2zcS+oVMNsFhEPvO68ngLLTg/H97SxbTcdR0TOQaVGLi7Lgh8+cS/rqCfxMb9Ytfnc1RXQ1hoRX6BSIxfXvo1wYAs4QqBZX9NpRDz2WsENuCwbVzvSuNyWYTqOiJyFSo1cXIUThJteDWERZrOIlMJ2qx5fuToDMDLoc8NpRORsVGrk4rEsXetJ/MK0gn4AXGdfSUPbXrNhROSMVGrk4tmzFn7bCcEV4bI+ptOIlNom61IWODtgt1k84PjCdBwROQOVGrl41v9+1NPl10BIJbNZRC5Q4daamxzLqcd+s2FEpEQqNXJxuFwnS42OehI/kG41YZmzFcE2J/cFzTUdR0RKUKpSM23aNKKjowkLCyM2NpbVq1efceyGDRvo378/0dHR2Gw2pkyZUqp1njhxgpEjR1KjRg0qV65M//79ycrKKk18KQ8ZqXB4D4RGQJN402lEysTUgpsAGOhYTG1+MxtGRE7jcan58MMPSUpKYvz48axdu5a2bduSkJDAvn37Shx/7NgxGjVqxIQJE4iKiir1OseMGcOXX37Jxx9/zJIlS9izZw8336zJp16rcIJw8+sgKNRsFpEysspqxreuywi15TMiaJ7pOCLyBx6XmsmTJzNixAiGDRtGixYtmD59OhUrVmTmzJklju/UqRMvvfQSt912G6GhJX+5nWud2dnZvPXWW0yePJmrrrqKmJgY3n77bVasWMHKlSs9fQtysTkLYOMc97KOehK/YivaWjPYkUI1cgznEZFTeVRq8vLySEtLIz7+5O4Eu91OfHw8qamppQpwPutMS0sjPz+/2JhmzZrRoEGDM75ubm4uOTk5xW5STnYsgWO/QsUa0LCH6TQiZWqJqw3fuxpS0ZbL3UHzTccRkVN4VGoOHDiA0+kkMjKy2P2RkZFkZmaWKsD5rDMzM5OQkBCqVq163q+bnJxMRERE0a1+/fqlyielUDhBuMWN4Ag2m0WkzNmKjoQa6vgv4Rw1G0dEivjt0U9jx44lOzu76LZr1y7TkQJDQS5s+tK93OoWs1lELpL/uWLY4rqEcNtx7nQsMB1HRH7nUampWbMmDofjtKOOsrKyzjgJuCzWGRUVRV5eHocOHTrv1w0NDSU8PLzYTcrBthTIzYYqdaBBnOk0IheFhZ1pBTcCMDzoKypywnAiEQEPS01ISAgxMTGkpKQU3edyuUhJSSEurnRfYOezzpiYGIKDg4uN2bJlCxkZGaV+XblICo96ankz2P12Q6AI81xXsMMVSXXbEW53pJz7CSJy0QV5+oSkpCSGDh1Kx44d6dy5M1OmTOHo0aMMGzYMgCFDhlCvXj2Sk5MB90TgjRs3Fi3v3r2b9PR0KleuTJMmTc5rnREREQwfPpykpCSqV69OeHg4Dz74IHFxcVxxxRVl8kFIGcg7Clu+ci/rhHvi55w4eM15Iy/ZZ3Bv0Dz+7fwTuYSYjiUS0DwuNQMHDmT//v2MGzeOzMxM2rVrx/z584sm+mZkZGA/5f/Q9+zZQ/v27Yt+nzhxIhMnTqRHjx4sXrz4vNYJ8I9//AO73U7//v3Jzc0lISGB1157rbTvWy6GH/8L+ceg6qVQr4PpNCIX3RxnN0YH/R/1bL8ywLGE95x/Mh1JJKB5XGoAEhMTSUxMLPGxwqJSKDo6GsuyLmidAGFhYUybNo1p06Z5lFXKUdEVufuDzWY2i0g5yCeI6QXX82zwO9wf9CWznb0oKN0/qyJSBvS3z89FP14+Zz2twjHWhP6XUBv0SanN5oXz2Dmhr/FcJTlbLhFPfeTsyYNBc7jEdoCbHMv52NnTdCSRgKWZnFIm/mRfQ6gtn62uemy2dE4gCRy5hPBGwbUAPOD4Ajsuw4lEApdKjZSJ6x3uMzt/6YwDtOtJAsv7znh+syrTyJ5JX7su3SJiikqNXLBq5NDNvh6AuS4djSaB5xhhzCzoA8DIoM/Bpa01Iiao1MgF6+P4lmCbk/WuaH6y6pqOI2LEv5wJ5FgVaGbfdfLUBiJSrlRq5ILdYD9115NIYMqhEu86r3b/smwinMdRnyJStlRq5ILU5jdi7ZsA9xlWRQLZzIJrOGaFwp51sF1nGRYpbyo1ckH6OlZit1mkuZryi1XLdBwRow4SziznVe5flk4yG0YkAKnUyAUpftSTiMwouA4cIZCxAnZ+YzqOSEBRqZFSu8S2jw72bTgtG/Oc2vUkArCPatD+DvcvS18yG0YkwKjUSKld9/v5OFa6WrCfqmbDiHiTrqPB5oCfFsEvaabTiAQMlRoptaJdTy7tehIpptql0Gage3nZRLNZRAKISo2USmPbblrafybfcjDf2cl0HBHv0z0JsLnPWZO53nQakYCgUiOlUrjraZmrNYeoYjiNiBeq2RRa3uReXqYjoUTKg0qNlIKlo55Ezkf3h90/N3wGB7aazSISAFRqxGPNbRk0se8h1wpmgSvGdBwR7xXVCi6/FrBg2WTTaUT8nkqNeKxwK83XrnYcoaLhNCJervtf3D+//xB++9lsFhE/p1IjHrK4Xtd6Ejl/l8RAo15gOeGbKabTiPg1lRrxSDvbdurb93PUCuVrV3vTcUR8w5WPuH+uew9y9prNIuLHVGrEI4W7nha4YjhBqOE0Ij4iuis0iANnHqx41XQaEb+lUiPnzY6L63TUk0jpXPn73Jo1M+HoAbNZRPyUSo2ct872zUTaDpFtVWSZq43pOCK+pXFvqNseCo7DytdMpxHxSyo1ct4KJwjPd3Ymj2DDaUR8jM128kioVTPg+G9m84j4IZUaOS9BFHCNYxUAX+haTyKlc/m1ULsF5B2G1W+YTiPid1Rq5Lx0tW+guu0I+61wVrpamI4j4pvs9pNnGV75GuQeMZtHxM+o1Mh5KTzq6StnLE4chtOI+LCWN0H1xu7dT2tmmk4j4ldUauScQsnjavu3gI56ErlgdsfvV/AGUqdC/nGzeUT8iEqNnFMP+3eE246zx6pOmnWZ6Tgivq/NQIioD0ey3CfkE5EyoVIj51S462muMw5Lf2RELpwjGLqOci8vnwIFeUbjiPgLfUPJWVXgBL3t6wDtehIpU+3vhMqRkPOL+2KXInLBVGrkrOLta6loy2WnK5IfrIam44j4j+Aw6PKge3n5ZHAWmM0j4gdUauSsCnc9femKA2xmw4j4m5hhUKE6HPwJNnxmOo2IzwsyHUC8VzhH6WH/DgicXU/Rj88z9to7J/Q19tpiSGhliPszfP13WDYJWvV3n8tGREpFf3vkjK52rCHUVsAW1yX8aNU3HUfEP3UaAaHhsH8TbDFXqkX8gUqNnFHhtZ4CZSuNiBEVqkLne93LSyeCZRmNI+LLVGqkRNXJoat9PQBzXVcYTiPi5674MwRXhL3psC3FdBoRn6VSIyW6xrGaIJuL710N2WnVMR1HxL9VqgEd73YvL31JW2tESkmlRkp0o+MbQLueRMpNXCI4QmHXSvj5G9NpRHySSo2cpontFzrbt1Bg2fnC2cV0HJHAEF4H2t/hXl76ktksIj6qVKVm2rRpREdHExYWRmxsLKtXrz7r+I8//phmzZoRFhZG69at+eqrr4o9brPZSry99NLJv9jR0dGnPT5hwoTSxJdzGORYBMDXrvZkUd1wGpEA0nUU2IPgp8XwyxrTaUR8jsel5sMPPyQpKYnx48ezdu1a2rZtS0JCAvv27Stx/IoVKxg0aBDDhw9n3bp19OvXj379+rF+/fqiMXv37i12mzlzJjabjf79+xdb19/+9rdi4x588EFP48s5hJJHf8dSAGY5extOIxJgql0KbW5zLy+daDaLiA/yuNRMnjyZESNGMGzYMFq0aMH06dOpWLEiM2fOLHH8yy+/TJ8+fXjkkUdo3rw5zz77LB06dGDq1KlFY6KioordPv/8c3r16kWjRo2KratKlSrFxlWqVMnT+HIO19hXU9V2lF+smix1tTEdRyTwdBsDNjv8+B/Y+73pNCI+xaNSk5eXR1paGvHx8SdXYLcTHx9Pampqic9JTU0tNh4gISHhjOOzsrKYN28ew4cPP+2xCRMmUKNGDdq3b89LL71EQYGulVLWbg9yH046u6AXLk25Eil/NZtAy5vcy8smmc0i4mM8ukzCgQMHcDqdREZGFrs/MjKSzZs3l/iczMzMEsdnZmaWOP5f//oXVapU4eabby52/0MPPUSHDh2oXr06K1asYOzYsezdu5fJkyeXuJ7c3Fxyc3OLfs/JyTnn+wt0p04Q/sjZ03QckcDV/WFY/3+w8XPY/yPUusx0IhGf4HXXfpo5cyaDBw8mLCys2P1JSUlFy23atCEkJIT77ruP5ORkQkNDT1tPcnIyf/3rXy96Xn9SOEE4xdWBfVQznEYkgEW2hMv7ui+bsHwy3DTddCIRn+DR/oWaNWvicDjIysoqdn9WVhZRUVElPicqKuq8xy9btowtW7Zwzz33nDNLbGwsBQUF7Ny5s8THx44dS3Z2dtFt165d51xnIDt1gvAHzqsMpxERrnzY/fP7j+C3nUajiPgKj0pNSEgIMTExpKScPI23y+UiJSWFuLiST9IWFxdXbDzAggULShz/1ltvERMTQ9u2bc+ZJT09HbvdTu3atUt8PDQ0lPDw8GI3OTNNEBbxMvVioPFVYDlh+RTTaUR8gse7n5KSkhg6dCgdO3akc+fOTJkyhaNHjzJs2DAAhgwZQr169UhOTgZg1KhR9OjRg0mTJtG3b19mz57NmjVrmDFjRrH15uTk8PHHHzNp0ukT41JTU1m1ahW9evWiSpUqpKamMmbMGO644w6qVdNukrKgCcIiXujKR2D715D+PvR4FMLrmk4k4tU8LjUDBw5k//79jBs3jszMTNq1a8f8+fOLJgNnZGRgt5/8UuzSpQuzZs3iqaee4oknnqBp06bMmTOHVq1aFVvv7NmzsSyLQYMGnfaaoaGhzJ49m2eeeYbc3FwaNmzImDFjis2zkdLTBGERL3VpF7i0q/uyCStehT7JphOJeLVSTRROTEwkMTGxxMcWL1582n0DBgxgwIABZ13nvffey7333lviYx06dGDlypUe55Tzc7vja0AThEW8UveH3aVmzdvQLQkq1zKdSMRraT9DgAslj5sdywBNEBbxSo2vgrodoOA4rJxmOo2IV1OpCXCaICzi5Ww299wagNVvwvHfzOYR8WIqNQFOE4RFfMBlfaB2S8g77J5bIyIl0rdYANMEYREfYbdDr7Hu5W9egf1bzOYR8VIqNQFME4RFfEiz69xbbFz58OVocLlMJxLxOio1AUoThEV8jM0G106E4EqQsQLW/dt0IhGvo1IToK61r9IEYRFfU7U+XPWke3nB03Bkn9k8Il5GpSZADQpy73rSBGERH9P5PqjTFk5kw/yxptOIeBV9mwWgppogLOK7HEFw/ctgs8P6T2DrQtOJRLyGSk0AGqQJwiK+rW57iL3fvTwvCfKOmc0j4iVUagLMqROEZzl7G04jIqXW60kIvwQO/QxLXjCdRsQrqNQEmFMnCC9ztTYdR0RKK7Qy9J3oXl7xKmSuN5tHxAuo1AQYTRAW8SOXXwPNbwDLCV+OApfTdCIRo/StFkA0QVjED13zIoSGw+41sGam6TQiRqnUBBBNEBbxQ+F1oPc49/LCv0LOHrN5RAwKMh1AykcoefR3LAU0QVjEpOjH55X5Om1E8WlIE9rnbeM/Lw3hgfwxJY7bOaFvueY6X2fLJeIJbakJENfaVxFhO6YJwiJ+yMLO2Px7yLccXOP4lnh7mulIIkao1ASI24NSAPig4CpNEBbxQ5utBrzpvBaAvwW/TSWOG04kUv707RYAmtp+oZP9RwosOx87e5iOIyIXycsFN5PhqkVd20EeDvrYdByRcqdSEwAKJwgvdMVogrCIHztBKE8WDAdgqOO/tLb9ZDiRSPlSqfFzp04Q/sB5leE0InKxLXO1YY6zCw6bRXLwmzjQuWskcKjU+DlNEBYJPM/m38khqxKt7Du5yzHfdByRcqNS4+c0QVgk8PxKBM8X3A7Aw0GfUI/9hhOJlA99y/mzfZs0QVgkQH3k7MkqVzMq2nL5W/A7gGU6kshFp1Ljz9LeATRBWCQw2Xgifzi5VhC9Heu41r7KdCCRi06lxl/lH4fvPgA0QVgkUG236vG68wYAngl+F44fMhtI5CJTqfFXGz+HE9n8YtVkqSYIiwSs1wtuYLurDrVthyDlr6bjiFxUKjX+as3bgHuCsKX/zCIBK5eQonPXsGYmZGg3lPgvfdv5o32bYNdKsDn4SBOERQLeSlcLPir4/d+CL0dBQZ7ZQCIXiUqNP/p9gjCXX8N+TRAWEXAf4l2xBuzfBCteMR1H5KJQqfE3p0wQJmaY2Swi4jUOUQUSkt2/LHkRft1uNpDIRaBS4282zIET2RDRABrrqCcROUWbW6FRL3DmwrwksHTuGvEvKjX+pnDXU8wQsOs/r4icwmaD6yZDUBj8tBi+/8h0IpEypW89f3LKBGHa32k6jYh4o+qNoMej7uX/joVjB83mESlDKjX+5JQJwlSJMhpFRLxYl4egdgs49iv872nTaUTKjEqNvzh1gnBHTRAWkbNwBMP1L7uX09+DHcvM5hEpIyo1/qJwgnDVBtBIE4RF5Bzqd4aOd7uX544mFJ27RnyfSo2/KNz11GGoJgiLyPnpPR4qR8Kv2/hz0Bem04hcMH37+YNiE4TvMJ1GRHxFhapwzQsAPOD4nMa23WbziFwglRp/oAnCIlJaLfpB0wRCbE6eD34LGy7TiURKrVSlZtq0aURHRxMWFkZsbCyrV68+6/iPP/6YZs2aERYWRuvWrfnqq6+KPX7XXXdhs9mK3fr06VNszMGDBxk8eDDh4eFUrVqV4cOHc+TIkdLE9y+aICwiF8Jmg74TOWaFEmvfzK2OJaYTiZSax6Xmww8/JCkpifHjx7N27Vratm1LQkIC+/btK3H8ihUrGDRoEMOHD2fdunX069ePfv36sX79+mLj+vTpw969e4tuH3zwQbHHBw8ezIYNG1iwYAFz585l6dKl3HvvvZ7G9z+aICwiF6pqAyYV3ALAE0HvU5Nsw4FESsfjUjN58mRGjBjBsGHDaNGiBdOnT6dixYrMnDmzxPEvv/wyffr04ZFHHqF58+Y8++yzdOjQgalTpxYbFxoaSlRUVNGtWrWTF2LctGkT8+fP58033yQ2NpZu3brx6quvMnv2bPbs2ePpW/AvmiAsImXgHWcffnBFE2E7xlPB/zYdR6RUPPoWzMvLIy0tjfj4+JMrsNuJj48nNTW1xOekpqYWGw+QkJBw2vjFixdTu3ZtLr/8ch544AF+/fXXYuuoWrUqHTt2LLovPj4eu93OqlWrSnzd3NxccnJyit38TVPbL+4JwvYgTRAWkQvixMHY/HtwWjb6OVZwpf0705FEPOZRqTlw4ABOp5PIyMhi90dGRpKZmVniczIzM885vk+fPrz77rukpKTwwgsvsGTJEq655hqcTmfROmrXrl1sHUFBQVSvXv2Mr5ucnExERETRrX79+p68VZ9wuyPFvaAJwiJSBtZbjXjH6Z7P+PegmYSRaziRiGe8Yn/Fbbfdxg033EDr1q3p168fc+fO5dtvv2Xx4sWlXufYsWPJzs4uuu3atavsAnuBUPK42fH7WUBj7jKaRUT8x+SCW9hjVaeBfT+jgj41HUfEIx6Vmpo1a+JwOMjKyip2f1ZWFlFRJW8piIqK8mg8QKNGjahZsybbtm0rWscfJyIXFBRw8ODBM64nNDSU8PDwYjd/0te+kgjbMU0QFpEydZQKjMt3H0k5wjGPZrYMw4lEzp9HpSYkJISYmBhSUlKK7nO5XKSkpBAXF1fic+Li4oqNB1iwYMEZxwP88ssv/Prrr9SpU6doHYcOHSItLa1ozNdff43L5SI2NtaTt+A3bg/62r2gCcIiUsYWumL4j7MTQTYXycFvYte5a8RHePxtmJSUxBtvvMG//vUvNm3axAMPPMDRo0cZNszd7IcMGcLYsWOLxo8aNYr58+czadIkNm/ezDPPPMOaNWtITEwE4MiRIzzyyCOsXLmSnTt3kpKSwo033kiTJk1ISEgAoHnz5vTp04cRI0awevVqvvnmGxITE7ntttuoW7duWXwOPuUy2y462n8k39IZhEXk4ngmfyiHrQq0t29jsGOh6Tgi58XjUjNw4EAmTpzIuHHjaNeuHenp6cyfP79oMnBGRgZ79+4tGt+lSxdmzZrFjBkzaNu2LZ988glz5syhVatWADgcDr7//ntuuOEGLrvsMoYPH05MTAzLli0jNDS0aD3vv/8+zZo1o3fv3lx77bV069aNGTNmXOj790mDHO6tNAtdHTRBWEQuiiyq82LBQAAeDfqQSA4aTiRybkGleVJiYmLRlpY/Kmly74ABAxgwYECJ4ytUqMB///vfc75m9erVmTVrlkc5/VEYuUUThD9wXsU1hvOIiP963xnPzY7ltLdv45ngf/FA/hjTkUTOSpMxfMy19lVE2I6xy1WLZa7WpuOIiB9zYWds/j3kWw6ucXxLvD3t3E8SMUilxscUThD+wNkLS//5ROQi22w14E3ntQD8LfhtKnHccCKRM9O3og85dYLwx86epuOISIB4ueBmMly1qGs7SFLQJ6bjiJyRSo0POXWC8H6qmg0jIgHjBKE8VXA3AHc55tPK9pPhRCIlU6nxEX+cICwiUp6WutryubMLDpvFhOA3ceA0HUnkNCo1PqKvJgiLiGHP5t9JtlWRVvad3OWYbzqOyGlUanzEIE0QFhHDDhDB8wWDAXg46BPqsd9wIpHi9O3oAzRBWES8xUfOHqxyNaOiLZe/Bb8DWKYjiRRRqfEBmiAsIt7Cws4T+cPJsxz0dqzjWvsq05FEiqjUeLlTJwjPcvY2nEZEBLZb9XjdeSMAzwS/SzhHDScScVOp8XKFE4QzXLVY7mplOo6ICACvFdzAdlcdatsO8WjQbNNxRACVGq9XOEF4tvMqTRAWEa+RSwhPFgwH4I6gFDrYfjScSESlxqsVnyDcw3QcEZFiVrpa8FGB+9+mV0Km6mgoMU6lxotpgrCIeLvnCgbzkyuKS2wHmBXyHJEcNB1JAphKjZcKI5f+miAsIl4um8rcnvckP7tqc6l9H7NCnqMWv5mOJQFKpcZL9bWvIlwThEXEB2RSg9vznuQXqyaN7Xt5P+R5qpNjOpYEIJUaL6UJwiLiS3ZTi9vznmSvVZ3L7Lt5P+R5qnLYdCwJMPq29EKaICwivijDiuT2vCfZZ1WluT2Df4ck6xw2Uq5UarxQ4QThBa4YTRAWEZ+yw6rD7XlPcMAKp7V9J++GTKAyx0zHkgChUuNlTp0g/IHzKsNpREQ8t826hDvynuA3qzLt7Nt5O+RFKnLCdCwJACo1XkYThEXEH2y2GnBH3liyrYp0sv/IW8ETCSPXdCzxcyo1Xub2oBRAE4RFxPdtsBoyJO9xDlsViHNsZEbwZELJMx1L/Ji+Nb3I5bYMYuxbNUFYRPzGd1YT7sp7lKNWKFc6fuD14CmEkG86lvgplRovognCIuKP0qzLGZ7/CMetEK5ypDM1+BWCKDAdS/yQSo2XCCOXmx3LAU0QFhH/s9LVgnvyHybXCuZqRxovB0/FgdN0LPEzKjVeQhOERcTffeNqzX35o8mzHPR1rGZS8OvYcZmOJX5EpcZLaIKwiASCxa72jMwfRb7loJ9jBS8EzQCXio2UDX17egFNEBaRQLLA1ZGH8hMpsOwMCFoK88aAZZmOJX4gyHQA0QRhEQk8/3HFkpRfwJTg17CnvQOOELjmRbDZThsb/fi88g8I7JzQ96yPe2uuQKYtNYadOkF4lrO34TQiIuXnC1dXHsm/D7DB6hnwv6e0xUYuiEqNYdc5VhZNEP7G1dJ0HBGRcvV/rivh+inuX1KnQsrfVGyk1FRqDCvc9aQJwiISsGLugmsnupeXT4YlLxiNI75L36IG1bdlaYKwiAhA5xFw9XPu5cXJsGyS2TzikzRR2KBdViS9cifRwbZVE4RFRLokgjMPUv7q3g3lCHXfJ3KeVGoM22HVYYdVx3QMERHv0D3JXWwWJ8P/nnQfFUU906nER2j3k4iIeJcej0G3JPfyfx5hkCPFbB7xGSo1IiLiXWw26D0O4ty7npKD3+IWxxLDocQXqNSIiIj3sdng6r9D5/sAeDFoBjfYvzEcSrydSo2IiHgnmw2ueYFZBVdht1lMDn6da+0rTacSL1aqUjNt2jSio6MJCwsjNjaW1atXn3X8xx9/TLNmzQgLC6N169Z89dVXRY/l5+fz2GOP0bp1aypVqkTdunUZMmQIe/bsKbaO6OhobDZbsduECRNKE19ERHyFzcaTBXfzccGVBNlcvBw8jT/Z15hOJV7K41Lz4YcfkpSUxPjx41m7di1t27YlISGBffv2lTh+xYoVDBo0iOHDh7Nu3Tr69etHv379WL9+PQDHjh1j7dq1PP3006xdu5ZPP/2ULVu2cMMNN5y2rr/97W/s3bu36Pbggw96Gl9ERHyMhZ3HCu7lM2dXgm1OpgW/TE/7OtOxxAt5XGomT57MiBEjGDZsGC1atGD69OlUrFiRmTNnljj+5Zdfpk+fPjzyyCM0b96cZ599lg4dOjB16lQAIiIiWLBgAbfeeiuXX345V1xxBVOnTiUtLY2MjIxi66pSpQpRUVFFt0qVKpXiLYuIiK9xYecv+fcz1xlLiM3JP4On0M3+g+lY4mU8KjV5eXmkpaURHx9/cgV2O/Hx8aSmppb4nNTU1GLjARISEs44HiA7OxubzUbVqlWL3T9hwgRq1KhB+/bteemllygoKDjjOnJzc8nJySl2ExER3+XEwej8kfzPGUOoLZ83gydyhX2j6VjiRTwqNQcOHMDpdBIZGVns/sjISDIzM0t8TmZmpkfjT5w4wWOPPcagQYMIDw8vuv+hhx5i9uzZLFq0iPvuu4/nn3+eRx999IxZk5OTiYiIKLrVr1//fN+miIh4qQKCSMx/iK+d7Qiz5fNW8EvE2LaYjiVewquOfsrPz+fWW2/Fsixef/31Yo8lJSXRs2dP2rRpw/3338+kSZN49dVXyc3NLXFdY8eOJTs7u+i2a9eu8ngLIiJykeURzAP5o1nqbE0lWy7vhLxIO9s207HEC3hUamrWrInD4SArK6vY/VlZWURFRZX4nKioqPMaX1hofv75ZxYsWFBsK01JYmNjKSgoYOfOnSU+HhoaSnh4eLGbiIj4h1xCuDc/iVRnC6rYjvNuyARa2naYjiWGeVRqQkJCiImJISXl5CmrXS4XKSkpxMXFlficuLi4YuMBFixYUGx8YaHZunUrCxcupEaNGufMkp6ejt1up3bt2p68BRER8RMnCGV4/l/41nUZ4bZjvBeSTHPbz6ZjiUEeX9AyKSmJoUOH0rFjRzp37syUKVM4evQow4YNA2DIkCHUq1eP5ORkAEaNGkWPHj2YNGkSffv2Zfbs2axZs4YZM2YA7kJzyy23sHbtWubOnYvT6Syab1O9enVCQkJITU1l1apV9OrViypVqpCamsqYMWO44447qFatWll9FiIi4mOOEcawvEf5d8gE2tu38V7I8wzMe5pt1iWmo4kBHpeagQMHsn//fsaNG0dmZibt2rVj/vz5RZOBMzIysNtPbgDq0qULs2bN4qmnnuKJJ56gadOmzJkzh1atWgGwe/duvvjiCwDatWtX7LUWLVpEz549CQ0NZfbs2TzzzDPk5ubSsGFDxowZQ1JSUmnft4iI+IkjVGRo3mO8H/Icre07+SDkOQbmPc1PVl3T0aSceVxqABITE0lMTCzxscWLF59234ABAxgwYECJ46Ojo7Es66yv16FDB1au1KmxRUSkZDlU4s68sXwQ8hzN7RnMCnmOW/PGkWFFnvvJ4je86ugnERGR0jpEFQbnPcGPrnpE2X5jVshz1GO/6VhSjlRqRETEbxwknMF5T7LdVYdLbAf4LHQ8/ezLseEyHU3KgUqNiIj4lf1U5fbfi01t2yGmhLzG/4U8Q1udy8bvqdSIiIjfyaI61+Yl82L+QI5aoXSwb+Pz0HFMCn6d2vxmOp5cJCo1IiLil3IJ4TXnjfTKncwnzisB6O9YxqLQJP7smEMoeYYTSllTqREREb+2j2r8Jf9+bsz9G2tdTahky+XR4I9YGPIICfbVwNmPwBXfoVIjIiIB4TurCf3znmFU3p/JtKpR376ff4ZMYVbwczSzZZiOJ2VApUZERAKGhZ3PXd24KncSrxT0I9cKpotjI/NCxvL3oLeoRo7piHIBVGpERCTgHCOMyQW30jtvInOdsThsFncEpbA4NIlhjv8QRIHpiFIKKjUiIhKwfrFqkZg/ioG5T7PRdSkRtmOMD/4380Meh60LTccTD6nUiIhIwFtlNee6vOd4PP8efrWq0MS+B97vD+/fCgd0fhtfUaprP4mIiPgbF3ZmO6/iK2csDwZ9xoiQ/8HW/8L2FIi9H658BCpUNR3znKIfn2fstXdO6GvstUFbakRERIrJoRLPFdwBf14JTRPAVQCpU+HVGEh7B1xO0xHlDFRqRERESlKzKQz+CAZ/AjWawrED8OUomNEDdn5jOp2UQKVGRETkbJr+Cf6cCgnJEBoBmT/AO9cyNfhlXQXcy6jUiIiInIsjGOL+DA+thY53g83OdY5VpIT+hTFBH1OBE6YTCio1IiIi569STbjuH3DfMlKdLQiz5TMq6DO+Dv0LN9qXo0sumKVSIyIi4qmoVgzKf5L78kazy1WLOraDvBzyGv8X8gxtbNtNpwtYKjUiIiKlYuO/rs7E573Ei/kDOWqFEmPfyhehT/NS0HRq8ZvpgAFHpUZEROQC5BLCa84b6ZU7mf9zdgdgQNBSFoU+zAOOLwglz3DCwKFSIyIiUgb2UY2H8x+gX+7fWOdqQmXbCR4Lns3/Qh4lwf4tmm9z8anUiIiIlKF0qwk35z3D6Lw/k2lV41L7Pv4Z8g/eD36ey20ZpuP5NZUaERGRMmZhZ46rG1flTuKVgn7kWsF0dWzgq5Cx/C3obaqRYzqiX1KpERERuUiOEcbkglvpnfcS85ydcdgshgQt4JvQUbwRPInbHSnU5YDpmH5DF7QUERG5yH6xajMyfzTvFmxiXPC7tLT/zJ8cafzJkQbBsNlVn8Wudix2tWWN6zIK9PVcKvrUREREyskqqzl9856nhe1netrT6en4jhjbjzSz76KZfRf38yU5VgWWu1qzyNWOxc627Kea6dg+Q6VGRESkXNnYaEWz0RnNa85+RHCE7vYf6OVIp4f9O2racrjWsZprHashGNa7olnkasciZzvSrSamw3s1lRoRERGDsqnMXFccc11x2HDR2raDXvZ0ejnSaWP7iVb2nbSy7+TBoDn8ZlWGTz6DpldDk3j3ZRukiEqNiIiIl7Cw873VmO+djXnZ2Z8aZHOl/Xt6OdK50v491WxHYP3/uW/YoF4Hd8Fp+ieo0x7sgX38j0qNiIiIl/qVCD5zdeczV3ccOGlr286n8Udg6/8g83vYnea+LU6GijWh6Z+4zl6Tpa7W5FDZdPxyp1IjIiLiA5w4WGtdBr37Qu+nIWcvbFvoLjjbF8GxA/DdB0wNAadlI826jMVO9xFVG61LAZvpt3DRqdSIiIj4ovA60OFO982ZDxkrYev/2Lz8M5rZd9HZtoXO9i08yodkWtVY7GzLIlc7vnG14ggVTae/KFRqREREfJ0jGBp2h4bd6fP1FdTlAD0d39HLnk5X+3qibL9xW9BibmMx+ZaDb12Xu4+ocrVjm1UPf9mKo1IjIiLiZ/ZQk1nO3sxy9iaEfDrbN9PLnk5PezqN7Xvp4thIF8dGnmQWv1g1WeR0F5xUVwuOE2Y6fqmp1IiIiPixPIJZ7mrNcldrnuVOLrVl0tPu3opzhX0jl9gOcGfQQu5kIblWMJMKbmGG83rTsUtFpUZERCSA/GxF8S9nFP9yJhBGLlfYN9LLns5V9nTq2/ez16phOmKpqdSIiIgEqBOEstjVnsWu9ozHorFtD5lWddOxSk2lRkRERAAb2616pkNckMA+9aCIiIj4jVKVmmnTphEdHU1YWBixsbGsXr36rOM//vhjmjVrRlhYGK1bt+arr74q9rhlWYwbN446depQoUIF4uPj2bp1a7ExBw8eZPDgwYSHh1O1alWGDx/OkSNHShNfRERE/JDHpebDDz8kKSmJ8ePHs3btWtq2bUtCQgL79u0rcfyKFSsYNGgQw4cPZ926dfTr149+/fqxfv36ojEvvvgir7zyCtOnT2fVqlVUqlSJhIQETpw4UTRm8ODBbNiwgQULFjB37lyWLl3KvffeW4q3LCIiIv7I41IzefJkRowYwbBhw2jRogXTp0+nYsWKzJw5s8TxL7/8Mn369OGRRx6hefPmPPvss3To0IGpU6cC7q00U6ZM4amnnuLGG2+kTZs2vPvuu+zZs4c5c+YAsGnTJubPn8+bb75JbGws3bp149VXX2X27Nns2bOn9O9eRERE/IZHE4Xz8vJIS0tj7NixRffZ7Xbi4+NJTU0t8TmpqakkJSUVuy8hIaGosOzYsYPMzEzi4+OLHo+IiCA2NpbU1FRuu+02UlNTqVq1Kh07diwaEx8fj91uZ9WqVdx0002nvW5ubi65ublFv2dnZwOQk5PjyVs+b67cYxdlvedyrvdjKhecPZtync5b/1sql+d88c+Yt+YC/Rn7I2/NBRfnO7ZwnZZlnXOsR6XmwIEDOJ1OIiMji90fGRnJ5s2bS3xOZmZmieMzMzOLHi+872xjateuXTx4UBDVq1cvGvNHycnJ/PWvfz3t/vr165/p7fmkiCmmE5yZt2ZTLs8ol+e8NZtyeUa5PHcxsx0+fJiIiIizjvHbQ7rHjh1bbAuRy+Xi4MGD1KhRA5vNP65xcTHl5ORQv359du3aRXh4uOk4PkGfmWf0eXlOn5ln9Hl5xls/L8uyOHz4MHXr1j3nWI9KTc2aNXE4HGRlZRW7Pysri6ioqBKfExUVddbxhT+zsrKoU6dOsTHt2rUrGvPHicgFBQUcPHjwjK8bGhpKaGhosfuqVq169jcopwkPD/eqP9y+QJ+ZZ/R5eU6fmWf0eXnGGz+vc22hKeTRROGQkBBiYmJISUkpus/lcpGSkkJcXFyJz4mLiys2HmDBggVF4xs2bEhUVFSxMTk5OaxatapoTFxcHIcOHSItLa1ozNdff43L5SI2NtaTtyAiIiJ+yuPdT0lJSQwdOpSOHTvSuXNnpkyZwtGjRxk2bBgAQ4YMoV69eiQnJwMwatQoevTowaRJk+jbty+zZ89mzZo1zJgxAwCbzcbo0aP5+9//TtOmTWnYsCFPP/00devWpV+/fgA0b96cPn36MGLECKZPn05+fj6JiYncdttt57U5SkRERPyfx6Vm4MCB7N+/n3HjxpGZmUm7du2YP39+0UTfjIwM7PaTG4C6dOnCrFmzeOqpp3jiiSdo2rQpc+bMoVWrVkVjHn30UY4ePcq9997LoUOH6NatG/Pnzycs7OTlz99//30SExPp3bs3drud/v3788orr1zIe5ezCA0NZfz48aftwpMz02fmGX1entNn5hl9Xp7xh8/LZp3PMVIiIiIiXk7XfhIRERG/oFIjIiIifkGlRkRERPyCSo2IiIj4BZUaKSY5OZlOnTpRpUoVateuTb9+/diyZYvpWD5jwoQJRacpkDPbvXs3d9xxBzVq1KBChQq0bt2aNWvWmI7llZxOJ08//TQNGzakQoUKNG7cmGefffa8roMTKJYuXcr1119P3bp1sdlsRdcWLGRZFuPGjaNOnTpUqFCB+Ph4tm7daiasFzjb55Wfn89jjz1G69atqVSpEnXr1mXIkCE+c/FolRopZsmSJYwcOZKVK1eyYMEC8vPzufrqqzl69KjpaF7v22+/5Z///Cdt2rQxHcWr/fbbb3Tt2pXg4GD+85//sHHjRiZNmkS1atVMR/NKL7zwAq+//jpTp05l06ZNvPDCC7z44ou8+uqrpqN5jaNHj9K2bVumTZtW4uMvvvgir7zyCtOnT2fVqlVUqlSJhIQETpw4Uc5JvcPZPq9jx46xdu1ann76adauXcunn37Kli1buOGGGwwkLQVL5Cz27dtnAdaSJUtMR/Fqhw8ftpo2bWotWLDA6tGjhzVq1CjTkbzWY489ZnXr1s10DJ/Rt29f6+677y52380332wNHjzYUCLvBlifffZZ0e8ul8uKioqyXnrppaL7Dh06ZIWGhloffPCBgYTe5Y+fV0lWr15tAdbPP/9cPqEugLbUyFllZ2cDUL16dcNJvNvIkSPp27cv8fHxpqN4vS+++IKOHTsyYMAAateuTfv27XnjjTdMx/JaXbp0ISUlhR9//BGA7777juXLl3PNNdcYTuYbduzYQWZmZrG/mxEREcTGxpKammowme/Izs7GZrP5xPUT/fYq3XLhXC4Xo0ePpmvXrsXOAC3FzZ49m7Vr1/Ltt9+ajuITfvrpJ15//XWSkpJ44okn+Pbbb3nooYcICQlh6NChpuN5nccff5ycnByaNWuGw+HA6XTy3HPPMXjwYNPRfEJmZiZA0VnvC0VGRhY9Jmd24sQJHnvsMQYNGuR1F7ksiUqNnNHIkSNZv349y5cvNx3Fa+3atYtRo0axYMGCYpf1kDNzuVx07NiR559/HoD27duzfv16pk+frlJTgo8++oj333+fWbNm0bJlS9LT0xk9ejR169bV5yUXVX5+PrfeeiuWZfH666+bjnNetPtJSpSYmMjcuXNZtGgRl1xyiek4XistLY19+/bRoUMHgoKCCAoKYsmSJbzyyisEBQXhdDpNR/Q6derUoUWLFsXua968ORkZGYYSebdHHnmExx9/nNtuu43WrVtz5513MmbMmKKLBsvZRUVFAZCVlVXs/qysrKLH5HSFhebnn39mwYIFPrGVBlRq5A8syyIxMZHPPvuMr7/+moYNG5qO5NV69+7NDz/8QHp6etGtY8eODB48mPT0dBwOh+mIXqdr166nnSbgxx9/5NJLLzWUyLsdO3as2EWCARwOBy6Xy1Ai39KwYUOioqJISUkpui8nJ4dVq1YRFxdnMJn3Kiw0W7duZeHChdSoUcN0pPOm3U9SzMiRI5k1axaff/45VapUKdrnHBERQYUKFQyn8z5VqlQ5bb5RpUqVqFGjhuYhncGYMWPo0qULzz//PLfeeiurV69mxowZzJgxw3Q0r3T99dfz3HPP0aBBA1q2bMm6deuYPHkyd999t+loXuPIkSNs27at6PcdO3aQnp5O9erVadCgAaNHj+bvf/87TZs2pWHDhjz99NPUrVuXfv36mQtt0Nk+rzp16nDLLbewdu1a5s6di9PpLPoeqF69OiEhIaZinx/Th1+JdwFKvL399tumo/kMHdJ9bl9++aXVqlUrKzQ01GrWrJk1Y8YM05G8Vk5OjjVq1CirQYMGVlhYmNWoUSPrySeftHJzc01H8xqLFi0q8d+toUOHWpblPqz76aeftiIjI63Q0FCrd+/e1pYtW8yGNuhsn9eOHTvO+D2waNEi09HPyWZZOi2liIiI+D7NqRERERG/oFIjIiIifkGlRkRERPyCSo2IiIj4BZUaERER8QsqNSIiIuIXVGpERETEL6jUiIiIiF9QqRERERG/oFIjIiIifkGlRkRERPyCSo2IiIj4hf8H6YR/cB38SLIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf.bar()\n",
    "plt.plot(qs, ps, color='C1', label='model')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Replicating another problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from os.path import basename, exists\n",
    "\n",
    "\n",
    "def download(url):\n",
    "    filename = basename(url)\n",
    "    if not exists(filename):\n",
    "        from urllib.request import urlretrieve\n",
    "\n",
    "        local, _ = urlretrieve(url, filename)\n",
    "        print(\"Downloaded \" + local)\n",
    "\n",
    "\n",
    "download(\"https://github.com/AllenDowney/DataScience/raw/master/data/ANSURIIFEMALEPublic.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "ansur_female = pd.read_csv(\"ANSURIIFEMALEPublic.csv\", encoding=\"ISO-8859-1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from empiricaldist import Pmf\n",
    "\n",
    "pmf_height = Pmf.from_seq(ansur_female[\"Heightin\"])\n",
    "pmf_height.bar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Command line example\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "0.8\n",
      "0.19999999999999996\n",
      "0\n",
      "2.0\n",
      "2.0\n"
     ]
    }
   ],
   "source": [
    "from empiricaldist import Pmf\n",
    "\n",
    "# Create a PMF object\n",
    "pmf = Pmf.from_seq([1, 2, 2, 3, 5])\n",
    "\n",
    "# Make the other representations\n",
    "cdf = pmf.make_cdf()\n",
    "surv = cdf.make_surv()\n",
    "hazard = surv.make_hazard()\n",
    "\n",
    "# Look up quantities\n",
    "print(pmf(4))\n",
    "print(cdf(4))\n",
    "print(surv(4))\n",
    "print(hazard(4))\n",
    "\n",
    "# Cdf and Surv provide inverse lookups\n",
    "print(cdf.inverse(0.5))\n",
    "print(surv.inverse(0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright 2019 Allen Downey\n",
    "\n",
    "BSD 3-clause license: https://opensource.org/licenses/BSD-3-Clause"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}