microprediction/pandemic.ipynb Secret

## pandemic.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "pandemic.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyPjGcR9aklKGrDjXMU/bVfL",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/microprediction/53ae61098e879844bd7c4124e10df02f/pandemic.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jcdLfN4eeFQB",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "!pip install pandemic"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X8JXj9C7fTYj",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import pandemic"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kHiRuFjofZ6y",
        "colab_type": "code",
        "outputId": "7363aab9-1f23-44a7-a7db-b7893be9e2c0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "pandemic.run()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "{'geometry': {'b': 25,\n",
            "              'c': 0.15601151621977144,\n",
            "              'e': 0.05,\n",
            "              'h': 2.5,\n",
            "              'i': 50,\n",
            "              'n': 40000,\n",
            "              'p': 6,\n",
            "              'r': 0.04,\n",
            "              's': 0.25},\n",
            " 'health': {'id': 0.00035714285714285714,\n",
            "            'ip': 0.025,\n",
            "            'ir': 0.07107142857142858,\n",
            "            'is': 0.1,\n",
            "            'pd': 0.0014285714285714286,\n",
            "            'pr': 0.06857142857142857,\n",
            "            'sd': 0.002142857142857143,\n",
            "            'sp': 0.11136719372934177,\n",
            "            'sr': 0.06928571428571428,\n",
            "            'vi': 1.0},\n",
            " 'motion': {'k': 3.0, 't': 24, 'w': 0.5398747051048962}}\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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lchLjiaW2vhZN1ejWqTtLlv4IUhLwBqgorCIUCCF1ia5Ldm4pYeYLX7T5OzAxMWmd9vIaEsBrwHop5b8bHe8QsR8AjANarATVnmR0SaOmrLZJIJKvwU9GbhoOlx0tzk1dZYMRnasIvLU+3JG2alilNK8cXdXQNB2rzUpSRiKnZA/jjvtvp7SslPLychITE8nOzmbr1q1tmpPdbmfU6WfQUO2lb+9+LFtlZCaYP38+K5evRI/o7hu8DXh9RmTyqScNx2a1oYU1wuEwD/3rATZsWo+iWMgr3AEY0csDjxlIbm4u/oYAo04xdgunnXx6dOwfln7Pmg1rGX/ZuQAEggGSk5qnvCivLN9tT4jw2gtvEAwG+et9t/Hjsh8YOvgEHvnH4zzy1EP857UXjTlGDN3njRnP1h1bOO/ycXTv2Y1jBx1LQ5WXqp01PPXwv0lPy6DB28BNd17PrDmfcM7ocU3GCkUMxLo01FdJCcmUVZQZJyXR3Zim6VisClJKcvq2HitiYmLSdtrLRjAUuBRYLYT4JXLsbuAiIcRRGJrrHcBf2mm8Vhl7/Sj+e/tbgLET8DX4CTQEGfug8Ubr9DhwxTjx1vqwWC3YnLs9dnRdomt69F/hEAS8ATJy0pgwYQIffvghJSUl0d2A1WpF13fr3VtLgWGz2UjvnIrDaSchJQGr3YK3zocaVnnvtQ9wOJq7o7rdHsPAKyVvTJ9KSlIKs6Z/hq7r9D+hL5uWbWXn9lJC/hCleeXYHDbDjrDHdaSEcaPHcfsNd+z1uTkcToKh5t5HDoeD4SePYMHX8xk6+AS65nRl6otvArA9bzuLvl0UfRb33/0gnftkEfSFGDp0KDnZOUgpSU/LACDGE8NZp49h1dqVnDN6HOlp6ews3UlGegdUVaW+oZ7EuESkLgmGgjgczb2zdFVDDWtUFFcxeHS0ciQBX5CfPl9OQloc/U/qY3oRmZjsB+2iGpJSfiulFFLK/lLKoyJ/c6SUl0opj4gcH9Nod3DQOPLkvvzl6cuIT46joriKhNQ4/vL0ZRx5cl/A0Nl36JJOdq+OZOSkNs0DFFl4dd3YDSAhLtnQlU+YMIHp70zngw8+4Pzzzwegc+fOrFu3jmAwSE1NDQsWLGh1XopipIuIiaSIqCmt5YQhJzJtxlvRNhu2rCepY6IRFCWIqlDqG+pJTUlFURRmzfmkiY5/1bpVrF25jvKCCj6bO5tjjmqaYuG4Qcfx5cK5VFZVGuPW1lC0s7luvWtOV/ILjHTmXp83+jauqiqLvv0fXXIM76dd19F1nZemTubC8y4CwB/w09DQwJYV23l/2gwsFgvdunQ3VEU1hnoorIZZ9O1CunftAcCpJw5n5uczAfhy4VyGDBqCUAR2l50d+duj7VqiuqSWF65/Lfr5g6dn8/Y/P+D+cU8w2nMxd49+tEVbiImJSXMOmcji/aH3kB4kpicgdYkn3t0kqdwudF1SUVSNw20nNSsZIQThUBhFUbA4LNgcVjJy06Jvlllp2dRU15CSlEqcOx5d18nOzmbChAn069eP3Nxcjj766CZjqKrKjjUFSF1SV1kfFSpg7Ezuu/N+7n/kPs6+aDSapjLw6GPp27ufEXhl3W30nTj+Em6883o+mfMJJx53Em7XbrXXEX368/CTD5JXkMfggUMYOey0JnPo1qU7t1xzG3+6YRK61LFZrfzjbw+Q2aGpd+/JJwzjp+U/cfzgofj9fq697S+EwiGkrjN44BAuPHciAJ99+SnTP3wbgJHDTuO8s8cDUF1bzRXXXY6iKKSnpvOvB43QkVA4xJ9vvIKwqqLrOscPHsqEc4wd1fixE7jj/tsZOe5U4uMSeObRZ7HYrKRlJ7Pk558YNnRY0y8tEvi26/8bC/Ha8joCviDeGiM1x9IvVrB07gqGjDZzD5mY7ItDIvvo+vXr6d27d5uv4W/wU5ZfiRBGcFaHLumA8RZbW1GPFtaoLq2J+tVbbBYsFoXE9ASC/hDhYJjkjolN8gmVF1Tgqw+ghlUUxciDk5GbFjUgl+aVU1tRh2JR6NwnC5vdRvGWkmg2UgTYnXYsFoXkzCRcMU6CviABb5C6ynoCvuBeXT+bsDsmrd0IBAJcdu3FvPvqjHaLzlUsCharBTWsti2RXYRQOMglV0/k3akzsIjdc8nu1ZGAL8SG9ev56d1VXPvsJBxOOy//9U3mvLIAXdMI+nbXV7hz2g2MuPjkZtc3s4+aHI78mt/1YVmYxul2EpPgxuawGV5CEXx1furK66ivbmiyMGkRvXNNWS0pWUk4PA4qd1bjr/cTCoYJBQxPIofbjhDCSMwWUqMGTCAaPayrOtWltUgpCTdO/yAh5A8R8AYpyzNcZJ0eJwlp8SR3bL5j2Rt2px1rKwncDhSn08mNV99MaXnpvhu3ESllm3L/KNamP8PinTu5/YY7mggBMJ5XYlo8CWnx3PLy1TicdqSUzH1tIYpFoO4RNZ3br/OvvwkTkz8Ah6VqSCiixcXVCOACgTCSoam7g7dAYnPaKNleTtAfxGK1UF5YBUgkkNIxiYycNGrL66gpr8PhtkcNzbquIxQFGbmeJ85teMFEFsLGaR2klIQCYQo37ySru5ForaHGi91hIxxS95H90yAcDB8UY+iJx53U7tcMB8N73w0II+mcFlajnkM5nXLI6ZTTrGnJ9rLo7i7aXQhy+mWz7odNSF0SnxqHO97FGX86lS79TUFgYtIWDktB0BruWBcpWcnomo7T40ANaVjtVny1PoRFoXRHWXTREi6B1WZBUw2voKAviCfeTXxqHLHJMUbe/EiAWk1pLVLXo+ofT7w7khvHgtD0aMWvxqocf52fndtKURSF+uoG7A4bFpsFp8fIdLo3tY/UZUQ8/b6RukQXLUQzN9b1R1JoON0OFKuFkD9kREA3bhMhHGqaYG9X/YKHZt3JhZlXY3c5CHgDPDjzDvoe32uf8xNCjAKeAyzAq1LKx/c4/wxwSuSjG0iTUiZEzmnArlJv+VLKMfsc0MTkd8ofShAIIZrEF9jsNry1Xmoq6oCmuXjikmOJTfRQXlQFUhKbFBM9tys9sq7rlO4oN0pARhYlMBYoxaLQoUsaBRuLjUWthfWwodpr6NFtFkLBMAmpcaRkJaOGNPyRegSHOlKXzRf1PRZ4LayhRnZTzhgnMfFuygsqkUJG2ytWhfTOKcZHKbnm6L+yfU0BnXplcs+MW+ncJ5uCDUXEJseSe0Snfc5LCGEBJgMjgUJgqRBitpRyXXSaUt7aqP2NGKlTduGXUh7V5gdhYvI75g8lCFrC3xAw1ikpcXgcBL1BhGLsBmwOGx0jqghN1fDV+bA57dECK+Ggoc6wO21Gf5cdd6yLvHWF2OxW0nNS8cS7qSmrbXV8XTNKWtrsVnz1Aeoq6olN9Bw2gqAtGxfFqoAu6dAtA5vdSuHG4qapMoQhfMMhlbL8CuqrGti2Oh8hYMfaAq45+g7SO6XwwCd/o/fg7rgbVWnbC8cCW6SU2wCEEO8BY4F1rbS/CKOmsYnJYccfThBIKakqqcFb4zXe+ndVx7IIElLjqCiqRrEoTdw91bBK0eYSQoEQitVCxy7puGKc2CL58UOBEHHJsQhFUBVRE2mqRsAbbLkq1x6VZmw2IzBN6jqVO6uNYLZW8iIdyjhjnNidNhpqfDjdhsG7ocaLrumEpYrU9Wh9ZMWqGFlHAaSRDrt4s5HOwt8QQFEEWiSJnsvjpLKoGpfH0WTHtw8ygYJGnwuBwS01FEJ0BnKBhY1vRwixDCMF++NSyk9a6Xs1cDVAp0773qmYmPx/cFh6DenBJejVN6FXjDP+DS6JntNULaqSqa2ox+awkd2zI5ndOuD0OLHajAyXnnhjQdEiqY/HXTTWuHZkgS/ZUcbWX3bgrTXcQ2vKavlqzjzOOG8kYy46i0AggMNtJ+BtwS10jwXe3xDgiy+/YN26daghFV3T2ywEjj6pf4vHA4EAl1x9UTSoqvfgHoydeDZjJ57NNbddHW1XUFTA+ZPOY+S4U7nlrpsIhQ33y7dnvMWHsz9o0xzaSqAhYHhsSUnAaxjkRaTgva7rlGw3vKlSMpNwOO17rV1gc9hI6ZhIUscEQoEwaZ1T6TYgt9X2v5ILgQ+llI3dkjpHXPUmAs8KIbq21LE982iZmBwsDjtBoAeXQP1joFeCkmL8W/9YVBgoFgWbw4qmGgbjxt43FquFDl3TyeyWQUJaPGpYZefWEiqLq/nk/VlRA3FViVGvQOoSqUs0VUNKyadzZ/GXK65l3qfz6dLXSGRntVsM1cc+nHy+WvglW7Zvabfn8NHsDxh5yunRmACnw8ms6Z8ya/qnvPzvKdF2T734LyZNvIJ5MxcSFxfPh7OMxf+8Mefz9vtvtXjt/WV3lTKQmkRqOrqmU11S08SjSonUiXB6nKRmJ2NzWHf3FURjNoQw6jJk5KaT3SOT19c/x5SVT+Fwtr1yHFAEZDf6nBU51hIXAu82PiClLIr8uw1YRFP7gYnJIcVhJwjwvQ3CDUqMUVdRiTE++4xoWEVRyMhNIybRqPIV9DXNr7NLF12wsZjiraWoYQ3FIuh9TE9SspJZtnIpE/90ATfdeT2jxp/G7ffehmJR+Pjzj/hi3hxemPIcdz54B64YF08++SRnjB3FmAtH89Ibk7E6rCDgk89ncvZFoxkz8Szu+MftLF+5nIWLF/Cv559g7MSzyS/MI78wjytvvIJzLx3LxKsuZOsOI8FdQVEBF/xpPGdfeCbPvPTvZre/i0/nzmb4ySNaPQ+GmuzHpT9y+qlGHqZxo8ex4GujsJzL6SKzYxar1q484K8iJtGD3WXHarNisVuxOqw43K0U9pGgqhpBv7EjcXqcpGYlk5gWT2xSDBaLBSklcSmxpGancOL4IWxbncfKRWu5pMu1PHfdK9RGjP5tZCnQXQiRK4SwYyz2zdKyCiF6AYnAD42OJQohHJH/T8HItdWabcHE5HfP4Wcj0AqMnUBjhNs4HiHgDRrpkSV4a310PSon6glUV1lPRVGVURRGCCwWBakbHkFOjwOhCNZtXMfn739BWmo6E6+6gA3b1nLe2eNZsvQnhg8bwaVXXMrcL+ayefNmfvrpJ3ZuK+Xyqy9l6bIlxMbE8tLUybz72gySEpKoqa0hOTmZ4SeP4OShwxg1/AwALr/2Uh6862FyOuWwcs0vPPjE/bz10ts88vTDXHTexZwzehzvzJjW4iMIhUMUFBWQ1XF3ds5gKMi5l52D1WLh6suvYcSwkVTXVhMXG4vVavwMMtIyKC3bHVDWr/cRLFuxlP59jzygryIUCEfjCGxOGzl9s9F1neItJfjrmyfoCwfDVBZX0bFrhpEJNr+CUKBpnee6inqkCwafOYDpj3wMgNRh7msLccU4ue6ZK9o0NymlKoS4AfgSw310qpRyrRDiIWCZlHKXULgQeE821dX1Bv4rhNAxXqYeb+xtZGJyqHH4CQJLtqEOEjGGETKoolh82By7F0U1pEYXF6lLSraXEZcci8NtpzSv3NDPS8O4mZ6Ths1hPCa704Yn3s2gQYPoeURPdFXn6AFHU1BUSLesniANG0RZXjmzZ37KV199xYABAwiHVHx+H3lFedTX1TNq+BnRlM+JiYnNbAJen5cVq5dz899vjB7bpbtfsWo5L/xrMgBjzzyHp158stkjqK6pJjY2rsmx/83+mvS0DAoK87n8ukvp0a1HtPhMayQnJrFtx7a2PvlmhPy70z2EA2Hy1xXicDsMu0lLSGNHVry1xKivrLZcca2yqIrHxk4+4HlFh5NyDjBnj2P/2OPzAy30+x444ldPwMTkd8LhJwjcl0RsBBAOWpF6A7oewG+5DnswbHjyOKzRyGIhBA3VXhqqvc0u5YpxUF9VT0yiEUNQuLHYCB5TDZV/bHIMSGiobTC8gwSA4e2jqRp33XUXf7riSsoLKvDW+kDCOx/ufot3x7lQLIpxDqKRylLXiYuJY9b0T1u8RbEPg4PT4SS0R0rpXamgs7M6ceyAwazbuI7TTx1FXX09qqpitVopKSshPW135G4wFMLhbJ4K+kAJhcJR1U9reOt8xveCaDVoTtd11KDa7Pii97/l8gcn4InztMt8TUz+KBx2NgLFcSzE3gVKMgpVhMPxlBnHtqoAACAASURBVFf/mdKSXHZuK6WqpJqCjcWGkXIfBd2rS2qpKqmhZLuhLgk1yi1UU15H8ZYSgr4QIX84klICQOJwOxg+fDgvTX6ZNT+uo6HaS0nJTqpqKhl09GDmLZ6HcErsLjtlJUY0s8ftoaayBjDKRGZ1zOKL+cbLqpSSDZuMso9H9x/A5199BsDsFiqNAcTHxaNpGsGgIQxq62qjgqGqporlq36mW243hBAMHjiYLxca5SZnfj6TUxuVq9yRv50ee0kFvb9Ibd+eUNHvRcoWdwN7o7qkjnMSJnHtwDvY9HPbigaZmJgchoIAwBfoS3H53ymqfJHSqnsIhPqjBsMEfEapw/1ZYKSUBP0hpJTEp8Q2zfHTynUC3gBH9RzA6JFnceGfzufsC8/kpr/fQH19Pd27dueaK65l9DlnctLwE3nosQcBOPO0s3jt7Vc452LDWPzkw//mw1kfMGbiWYy+YBTzI+Uh77n9PqZ/+DZnX3jmXhPEDR1yAj//YmS63Lp9K+ddNo4xE8/i8msu4arL/0K3Lt0BuOOGv/H6O1MZOe5UamqrOX/s+dFrLF/5M8cfO7TtD+tAEBhuQHseVg48l9KW5Tt44LzmKjMTE5OWOSzTUBdsLAaMBTwalHQACEVEDcUIyMhJo7yoskW1xO+NtRvW8Mb013nyoacPqP+6jWt5/Z2pB9z/YFJcUcQjZ76w1zaxyTF8XP56i+fMNNQmhyNmGuo9cHoc6JpEESJa7WtffvwtsUtttEtYVhwiQgCgb69+DB445ICrdFXXVHPzNbfuu2F70Z7JVAVc20bvIRMTk0NIEOzPziUlM4n0nFSSM5Ow2q043Q465KbvvVMbFqJwS0KglX5CESSkxx/wWO3B+DHnH3CRmaGDT2jiftputHTvAtKyU0jskICyl2hiMJKC72nXuee9W7jkgfNRbAqeBDdWu5VuR+W035xNTA5zDgmvIafTSWVlJcnJyW3Kwy+EwOl24HQ7cMe5URQRTVdQubMapETXpeFGilGhLKdfNoGGIKX55fv91r9LhWR8MDKXhoNqs2RzVoc1OqbVbiW7VyYVhZVRG8S+0k//XmmSF2gv7IrN0LXdbeNT46irrKe8sBKn20FKZhKVxVVNIo539VUsCr6Al5Jt5dHjJ44fzLAJQ5FSsmzuL2xcsgVXjJEqxMTEpG0cEoIgKyuLwsJCysvL9914L1QUVqLvKk9pVVAsCjEJHmx2G5s2bQKgrLiixd2HUIycOEIIbE5rk5KIjbG7bNSGjaR2e0MIqPZX4PcGjUVU0GSBPJSwOWyoIbXVXZsn3o0QAlesC3+Dv4mrblltSbSymKIIXNWuqDvtnlhsFhoqfDikC6fHgWJROPNKw8tpyZzlqCGVrB4dsNltbFmxg+yemS1ex8TEpCm/iSDYVwGQfWGz2cjN/XUJxaSUnHPc5ei6JOgLYnfbmHD7WC67fwIAM56ezZz/zqO6rJaAN4jVZqRE8EUWJVesi069OhKfGs+979/KIxc+w0+fL282zt/fuYlN6/N4558f7Z6/00Zm93R2rC5sdMzKuJtHs3zeKmrKaqkurTUykLbBxfL/C8WiNBdWwsieOmLSML5+71t8dY0ihhWIjfdwxaMTGX3ViGj09hv3vcfXH/zA+XeMYeOS9Xz15iJ0Tee4MceAEHz38RJa4syrRjDmutPpekEOx589ELvLQVJ6ApU7q5n24AeEAmEqiqroOagbvYd0P1iPwcTksOOgew1FCoBsolEBEOCi1kLyD6ZnxeyX5jLtwQ+oKauL6qoT0xJI7ZRM/roiNE1DDaqkd06h/7C+qGGNkm2ldO6TxdaVeYRDKl2O6MTfp92ElJJxSZfjrd1dN8DutiN1ndhED1U7W69BsAsh4KJ7zuOzl7+ivrJ+VxjCQSejSxpVJdWEfEZcREyih+EXn8CsyV+CBKvdwuDRA1n9zTp8dT5A0Kl3Jl36d2L+tG/aNEZCehw1pUbun7jkGO6cdhO9h3QnNiGmSTtN01j84Y9YLArHjRnI8nmrePD8p5uV68zt35kpvzzV4lh1VfXcP/Zf+Br8pGQm88DHf8Vmt7U6N9NryORw5Nf8rn+LHcH+FgA5aIy5dhSdemdx54iHkFIiJfi9AbavysNqs4KUCMVILXHEib0ZdcWp0b5bV+6gYEMRRw83MgsIIfjviqeY8fSnVO2spnjLTratygfYLQRaKLfYGCnhx9nLiIn3UFdRf7Buuwk2p43nv3uEq/rfHhUEAW+ASf+8CLvTwfy3F3PEib259P7z+fdVL1NRWElqdgojLz2J0VePZNuqAravzttrIJ4rxokidvsh1FU2cM+ZjyIEXPvsFYy78czoOYvFwikX7I5VGDz6GD6umIqvPsDnU77i7Yc+wuGyc+OLV7Y41tIvf+HdRz+mc98sjjqlH0ec1GevQsDExKQ5v4XXUEsFQJoob4UQVwshlgkhlv1aO8C+OGpYP27579UMHTeYHgO7IDUdxWohqWMinngPlz94Ibe9ci2nTzqlSb+snh054bzBxKfEsWLhal75+9vUVtYz/tazKM0rj9Y23oXFqmB3tpJpsxG9j+/BE/PuI6ljYrveZ2t06pWJxWbhqicujgZtaapO/rpCqkpqqC6pYfEHP3BVv9tY/+Mmqstq2bx8Gy/f/ibTH/2IRz6/iysfu5jex/Ugs2dHI6NqBIvNsLv0GtIdn7d5hTUpYeo97+KLVF+rr25g+YLVVJVUN2nndDtJSk8gNjGWLkd0IrtnR9Z8u77Z9XRd58lJk9n081bmv/0NngQPyR1+m+doYnI48bswFksppwBTwNg+H4wxqstq2fDTZroelcPIy4axYuEaGmq8jPrTMLatLmDNN+uRwFfTFjHx7nOb9J1881RmTZ6L1Wbh/o/+yrQHP0QIWPvtBv75+V0kZSRSll9OUocEAr4QTredzn2y6Hdib6Y90HpxF2eMg6sevwRPnJtOvTKpr6xv2UV1H7hiHPgbWknktgcFm4q587SHqSqu3h0noUtuPfEfzfX/EtSgiqIIhMPGjjUFuDwOVixczfbV+bg8jqgXFERSeKsqK+avpjXcsU5Ktpfx9YzvmDdtMd4aH/Fpcby84kncMa4mbQeefhTfzVyCpukMOav5jlcIgd1hpaFWYrEIHC5zJ2BiciD8FoJgfwqA/Co0TSN/fRHJHRKjZSbBeHN8+sqXqNxZRUy8h8Gjj2bRe98hgbmvf81Rp/Rllx5HtuC589WbiwAIh1Q+f2UBNocVb52PpPQE3LEu7p5+M2X5FXTokma4R+oSm93KxqVb+OCp2QQaL9LCsA0oFgsZuelsX51PYlo821flHZAQAND3w8Ac8oUo3FjcLAPo3jyWdF3SqVcml/7jfJYvWMOmZVsJeoMEfUEURaBrEmExXGLDoeb3oFgVBp5+JHWVDZw4bjAzX5zDgrcXEw4Ybf0NAb6buYSRl57cpF9W9w48/tW9IGmxWpkQgn9+dhcfP/c5fY7rwREn9mnzczAxMdnNbyEIogVAMATAhRjl/dqd9x7/hO8/WYI7zsXd795KYpoR0KWpGrXltThcdnz1u1wTjfyWwUCQ5fNX4YxxkJGTxh1vXN/suh27ZrBlxXaEIug5sCufvPAFoUCIC+8ch6IouGNd5PTNbtYvNTulWdyDQOBw23HFuEBKtqzYzrefLKGuuuGA7tnhthObHEOwoKrNfVpNA90Krlgn+esLubLvrcQlxaCpGjanDU+ci6yeHdm4dAsJafFk9+rIqkXrkIDNbsUR48QfEZhXPHwR3Y4yPL8evfhZRCMbgkQy/dGPcMU4OWFc07LB+wqIy+nXidteuXa/7sfExKQpB91GIKVUgV0FQNYDM6SUaw/GWBt+2ozD7cBb56dke1n0uM1u47KHJuCKdXHyhOM595azOPPq4XTq2wkhBeGQir8+QFakdnFjKooqUSwK2b060n1ALjvWFeCr86GGNb58feGeU6C6rJYvpi5g7fcbmfPqgmYFWC666xzuefcWzrpmJOUFlbx659usXrzugN1Gg74QDpeDhLRWopj3wJPg2nejFsYIRbx46qoa6NA1ne5H53LESX3w1frp2CWDbkfncsfU6zl5wvEcP2YQU1Y+zZi/nIYn1o231sfSL39h57ZSnrxiMp54N136d0axKig2I8isPL/yQKqMmZiYtAO/iY2gpQIgB4NxN5/Ju4/N5IgTe9N1jxQD21flU11Sw9fvf8+Rw/pxy0t/we8NcF7KFVGVzJIvljPn1fmMv/XsaD+7047NYUUN20jNSuboU/rxw6yl6Lqk3wlNE+EVbyvhkQueoaHWR2yih84t7BLWfLuelV+vY9vKPIL+EK5Y5z5z9O+Los07I4FxVnRdb2a4bswudUyUfXg2gVHxk0aBvl2PzOGOqdezbVUeT//5JQC6HZVDcock7nxzdzGdyp3VVJcaHlRL56ygtqyO7avz8Xn9FG3aGR1XKCK6i9D34o10MNhXjIsQYhLwJLvVmS9KKV+NnLscuDdy/J9Syjd/k0mbmLQzvwtjcXsxYHh/Bgzv3+K5ikKj/KSm6tSWG2+dLo+Tu9+9hScnTSbgD2J32LE5mhoc45Jjue2Va9m+Ko/+J/fB7rQx55UFeGu9+Op2e8b4vQHuPuMRircaqaFlbhpfz/i+2Tw2LtvWJCrZW+dDWER0RyAUQXpOKiXbypr1bQ2Hy46u66TlpFLWggdTY1R1jyR0ray7PQd3I7NbBlLT2bR8O2V55ei65LizB3LT5D8D0KV/Z26d8heqdtZE7CxQVVKNlJDcIRGXxxmt7qaGVaOgjKrirWpoMm5GbhrZPTsy4Y6xUXXej58tY9aLczni5D5ccMfYFm0Ev5ZIjMtkGsW4CCFmtxDj8r6U8oY9+iYB9wMDMe7m50jfakxMDjEOK0GwN8bfdha6rpPUIZGjTu0XPX7COYNJ/18qi97/jsyuHRhx6UnN+nbqlUlWjw7krSvEW+dD13WSOyaxYclmFr77LT/PW8lJ5x9HZUmN4YkjJA1VpQRbyJTQLDWFzu5KXAIyclKxOWxN8xftA1XVSMpIJDE9Hm+tNxrItScOt73V1Bh7snnZNrw1Pq5/7goKNu4ku1cmZ/55OGOvPwNfvR9N1Vj80Y8s/uB7zvjzCOxOO+t+2Mh/bn2DyqIqKndWYXfaiUn0oFgUEILV36wHCTFJsTTU+lFDKkIRlBdWUl5QSdcjc+gxsCuBhgDPXjOF+qoG1ny3gW5H5XDsGQPaNO/95NfEuJwOzJNSVkX6zgNGAe8ejImamBxM/jCCIK1TKjc8vzsoye8NULi5mDf/8T51lfVcct/5HDvq6Fb7z3hyFt98+CMOj4N+Q3uxfXU+J44fwos3vkbQH+TrD34gHAhhlNeC+updi3jbUo06PQ5OGD+E+W9+vd/3poU0dm4rZee21gvVAPupgpIUbizm3jGPk5yRyLXPXcGQMwew4J3FfPTs5ySmxbPqm/Xoms6KBWt4v3gKa3/YRF1lPRVFhuE66AthsSqkZqdQW1ZLSmYyVaU1OJx2MrtlkJqdwqrF69DCKrou+eHTZXQ7Opcjh/VFKAJd1xEWwwurNK+c1OzkaJqKdqKlGJfBLbQ7TwhxEkaE/K1SyoJW+jZLbiSEuBq4GqBTp07tNG0Tk/blkElD3VbKCipYsXA1fm+g1TbeWi8PjX+K6wbcyU+fLWf9D5t58Lwnqa2oo66qnm9n/kTBxqYerut/2oLdZSfQEODkCcfz5IL7OWZEfwK+ACF/mKA32LIbp2jbW33AGzwgIbBf7GMqk5c+RtdjcoDdLqlaSKMsv4JvP/oJq83KvGmLqa9qYNuqHZHi8kbW1Bn/mkXQFzDSdzRC1yQBXwhNGmqhS/9xHiMvP5mGGi+rv1mHK8ZBanYKqVnJqCENi9VCXHIsnftmoakaQW+I+85+nKv638btw+7H39A8UO0g8ymQI6XsD8wD9ssOIKWcIqUcKKUcmJqaelAmaGLyazksdgR1VfU4XHYC3iCPX/I8/oYAPQZ25db//qXF9qV5FZTlVTQ5poU1QoEwz1//CiXbyvDEu7n/4zuiOuvcfp344rUF9DmuB90H5KKpGp37ZOOKdREOtJweQiiSIafV8sPc5tGucSmxv1laibaQ1bsjs//zJdtX5Ld4ft33GwHw1vgo2V6GEHDkqf2oLqlh57Yypj/6Mboucce5SM1Opra8Dk+8m47dMlj7ndG3dFs5m5ZtQ0qJFtaw2BSCXsHpV5zCwunfEg6Fmfn8HMoKyvn5y1VNxvfXB9j88zZ++OxnTr3whPa67X3GuEgpKxt9fBX4V6O+w/bou6i9JmZi8ltyyAuC7z5ZwvRHP8YT7+bie88j6AvicNsp3rKz1T7ZvTrSY2AXCjYVR/Xwx509iP+99y2rFq1FSkhIT+CRC/5N94FdGHn5MGY+/zlqSGX1t+t5+IJ/s2rxeroe2RlPnNtY0CUgoFMPSXW5wBMnmXhTPhtXGEnWGuv87S4bIy87mc+nzGsabNYGHC4Np1unttJKe1S4iU3y4K31U1NSi78+iK63bGjWpY6u62xYthkw0kWs+24jnng3oUYqp4ZaL5ndOuD0OOmQm0ZWz45RQQA0iUTWwjpp2fGsmL8Gb60PXdXRNZ21325o0ZspLiU2KpjbiX3GuAghOkgpd/2YxmC4QIPhDv2oEGKXlD8NuKs9J2di8ltxyAuCHz9bhs1ho76qAV+dn5GXD2Pd9xsZc/0oVi5aw+evzOeoU/pxxpXDo8FdakilcmcNXY/MIS4lhsJNJSz9cgVLv1xBRk4q1WV1eGsaWFdUyYYlWwh4Q0YQlpSowTC/LFyDxWZhzbcbyOyRQUqHJE48fwhDxx1L30ENKIFpeGureP0hD19MTwZoYvgN+cN89O/P9vNOJbGJGj2P9nLRjWV8P7cDH/03Zt/d9kF9lRchoKHay+IPf4ged8Y6CNTvFlL1lQ1463zQSE6EgmFCpXtkWdVh8/Jt6LqOr87HX9+8jo+f/bzV8VMykw0VkxAEAyEqiqqQGF5HNeV1EfUTYAFN05nx5GwyctP2XXGuDUgpVSHErhgXCzBVSrlWCPEQsExKORu4SQgxBlCBKmBSpG+VEOJhDGEC8NAuw7GJyaHGIW8jGHbhUNSwSlKHRHoN7s45N5zB3dNvod/QXrx+3/uUF1Ty+X/nUbLDcMcsK6zgwfOfZseafGwOKyXby6ivasBqsyJ1id3loNex3YhPjTMGEFC0ZSeuOBeKVTDikpNJ6pBIOKhisVqw2WxkdEljxCUn8d3MJUw68k1OTy5lQi/Jotm56Fr71KW0WCWxCWFWfhfDlIc6MmSUBdFO315LmcgD9UF6HtstmphO1yWlO8qw2Bu5cTbq53A78MS7cXjsRroKCVUlNXz20jxunNxy5tDE9AQGjjoKd5wLLaxG5iJZPn81D878G3OD73HapGFGYw2qiqspL6zkx89+bo/b3jXeHCllDyllVynlI5Fj/4gIAaSUd0kp+0opj5RSniKl3NCo71QpZbfI3+vtNikTk9+YQ35HcMyIIznixD5YrEqzdAQduqSRt7YAd5yb2ETj7fn6gXdGDZo15XUoFkF8ahzhgMqgUUfjSXCxcclWPPEejj+7M7lHdubDpz/FG6mqldmrA5P+eSErF63DHedkx5oC4pI9XD/o703GVkMqnXpnUpZfQXlh5a+uM6CpguLtToSAkgIbc9+up1N3G9WVCdRVNEpP0YYAsbZSXVZDTr9OFG4qRlc13vnnx9hsNnRVj7jJGu0cTjuPfXEP637YSP76Iua9tQgpjV3QW/fPAGDkpGHUltXy87xVaGENoQj6n9KH1+9p5G0pjCjwhPR4ygsr6Tmom5EevNF5h8tOnyE92ucGTUxMgMNAEADYHS1nnbzxxT+zYckWOvXqSEyCBzCMnbuQUuKKcVNf6SUuJZaNS7dQXVqDxWYlNtHDHa9fT6dembx53/vRPnOmLKB4Uwnn3HgGmd06cPQpR3DNMX9rcfyyggqGX3wiHzz9abMavPvH7pVdSmiosbJumQd3bLCJELA6LHQb0JXSHWVU76z5FeMZlOVVkJiuoqkanjg3QV+Qk8YPZvGHP+JJcNN9QBdqSmsZefnJTL55KmmdUrnrnZs45vQj+WXBar54bXcKjlWL1vL2tv9wRe+bKN1RgTPGyfczm1Yii02M4chhfejQJYNjRhqBgX956jJK88op21HGnx6ZSN8Tere3ncDE5A/PYSEIWuLj5z7j+9nLGHfjmaRkJkePX/yP8bz1wAxsdivxqXFUFFahazqVEd93BOi6UUT+tbveYfvqfJweB/6GAAgo3FzEjtX5zJ48l8k/P0G3I3Pp3DuTrSu2R8cQClgsVioKq9i8fBv9T+6z19TMTdn367w0QhUoLWxa70AIQeH6IhRr+6ijjHiIBnRVR1M1eh7bDV+dj+SOCeT0y+aie8bTc0BXzk29goaqBratzONfk17kx9nLjAjmRruTY04zFvYx141i/ltfE5cSR/G2Eoo3lwCQ1asDf331Ovoe36vJFNwxLh7/4l5MTEwOHge9VOX+0h7l/PLWFXDD4LuQ0shf82HZa9EUBVJKXr/3XZbO/YWU7GR+nN10LFeMA8ViISE9nuItJUgpEQisDkuzPD2n/+lU/vrqtfi9AW4YfCf564pBAU+sq0kJy7azP99FxE0pop+x2C1YrZY2Rw63FcWioOs6nXpn4Y51suGnLdFzQhH87c0beeLS56PH7G47oV1zEHDWNSPp1CuLc244AyEEUkpK88sp2lyC1W7h2b9Mob6ynmufmcTwi5tHdbcFf4OfHWsLWDb3FzYs3cI5N5zBoL0EB5qlKk0OR37vpSp/cyw2a6QugIZiUfj24yUs/vgHRv95BLn9OzNv2mKqS2vYunJHk35nXXca6Vmp9D6uO1PumIaiCDRVgmIka9sz7UPe2nxqymqZ//ZiQwgA6Puf5tlgfwVy07d+LaShhX6N+qllFItASkFFUWWzeglSl/znpteaHAs1FkQSrv7Xpbg8Lt557EPeefhjPHEuzrnxDL79eAk1FbVUFBo7sX9f9fIBCQJN03jqT/8hf30h5UVV5B7RmemPzdyrIDAxMWnKYSMIfvnfGpZ9+QunTjyRLv07c/PLV/H9rGWkZifz6MXPIHVY9uVKpq59htryWnRNRyJRrIbrzfCLT+CXBWsIB8Nk9+7Atc9MYuWiteSvL8ThcbL66zUUbS5BsSjYnFakJinZUc4dIx5gx5rCJnPRNH0/jba/j12ZEM09iNSIcPHXBWhp91gfMaLvQrEp6GHDx9TqsDLvrcX0PLYbb9z7PkioCYR597GZJKbHGwXqoxlIW3eB+tekF1k+fxXjbj6TC+44p8m5kD/Ezm1lxCbHUppXga/OT7+hPff31k1M/tAcFoKgNL+cB8c/Rcgf4oupC8k5ohNpWcmAZNF73xsVtISxaFjtVnoM7Mrmn7dhsVu58tGLsCgWNv+yjaLNRmrk1+99j1dXP0O/oYa+WkrJohnfs+zLXzjylH68fMsbNNR6CQfD5K0rbD6h32xd37ctwGq3RBfzfdFsnRcReRbRQtkc1qh6zB3nxN8QbLJDEsLIomq1W3HFOknumMjGZVt57e53mjwTXZf46gMEGnanAYlNcrNtVR5d+nduMoXlC1Yx/+3FICVT73mXcTedid2x2zbiinEx9oZR/O+977jswQn0Pb4XXY9seg0TE5O9c1gIAl+d36ita1Goq6hn1f+MujcWm4Veg7pRV1mHxWphwt/GEp8SxxNf3ce3H/9EZWkNr/19Opqmk5AWF33j9dYankV1VfV8OXUheRuK2PDTFqw2CyXby2io9SJ12cQDaRcOj4PgfqmGDq7UaKsQaAl3jItL7h/PxiVbSExLIDkriXcf+Ribw8Z5t45m1uS5VBbvzrosMewpuqbR/6Q+RtU2YczB5jDKWNodNlKzUohN8lBZXEVlcXWkFoGd6tIaoOki7vQ4IpsrgaIoLaajPn3SKZw+6ZQDvk8Tkz86h4wg0HWdu0c/wuqv19NjUFee+PI+7E7jzTCnbzbj/3o233z0I3lrd7+h65qOO87Fdc9eweirR0Yji612K0PHDeatB2aghlQUq4VwMGy80eoSNeLq+a9JL/LTZ8uj18vITaMsv2Kv6aH3Twi0gJAIIZF6W6LFGs+j5d2BYlWw2iyE/EaFsfjUWGrL95LjSECXIzrhawgQlxhDdUkt9753W/T02OtHYbEo2J12Bo8+husH/x0trBnBeA4b4aCKM9bJxLvPpccxXancWcV3M5dQWVzN5Q+NZfjFJ7Jq0To69c7CYrUw7aEZVJXUMmjUUfQ/uXnN4T5DenLl4xP5ftYyLrzznH2WrjQxMdl/DhmvobXfLeO2YU9E1Rfn3HgG+euLOffmMzj2jGOi7e4Y8SC/LFwDwHFjjuGhT5oGetWU13LLifdRVVyNqqqEgypWm5XR15zGrBfmRNfWEZecZKgkGtHlyM6U5pW3uBP4dexSlEs8sSreupbjIvaNaPZx8rLHePSi542KYEByx0RUVTOK88j/a+++w6MqsweOf08mjYQkhASQ3ruKSsQCViyICnaxoqII9mWLYv/hrr2vWFBclVVRdFFEEVHBgrQgHaS3BKQFAqRn5vz+uJcwaTAhk4Qw5/M8eTJzy5z3Tt7MmXvvWyA6JgrxCDl7cpEwYfhH99KiY1NeGToKb4GPq+7vxxlXnFoq0obl6fzz6hfZkZ5BXk4BrY5uTqce7VieupoB/+hPz0tOYufWXeTszaNJm8oPBxFM1mrIHImO+FZD6ttDcsIbeMKVwnzwRCg71oxl7pQEFkxbwpg1I0luUh+AZ6c8ykMXPsmfa7eSuX0v29K2s2XDdjzhYXQ6sT2/fZnK9jRnQMmC3ELqJsbiLfBy7fBL+OatNHoygwAAIABJREFU75yhIyI8pE5ZUKocZw3oyZgnxlXhgUolkkBZrwcv3PImWzfsn+1sd8Ze5yatq7CwEPEK0bFR+Lw+Ni5N56yrevLouL+Sm51Ps/b753DOzc7j0+e+YG9GFrMmzyvqA9DhhLbc/e9BvDL0bSKiI5j8n2nEJdbl0UuepbDAyzXDL+G6h64I3nEZY4KqViQCCuZRv+EO7nxqD6k/RpFyVhbN2uzml4kJ+Hw+NixLI7lJfbyFXvfHR2y9WPKy87jDb0iJ8waewTXDLyMyOtKdL7gOudm5tOnWiroJsTzz/aO88Zf3aNA0iaN7dWLUP8YUfVnvfEp75v24mPzsggMU9FDt+yYf/LOzNQvWF3vuP/onOE1Aj2rbgE2rtqKqfPfBNBq0SOKCW3qXeq3X7h7Nd+9PA1XCwj2gTkujqLpRJDVJJKqO87627Nqc375KpSCvgLBwDz99OuOAiWDzmi0U5BfSolOpeV2MMdWg0olARJ4DLgbygdXAzaq6S0Ra4QzZu28M4pmqOuTQovgQhBbtCmnWOp+ISCGufjwx8XVo060VHU9sx/b0HTw/6A2ydmVxwW29WbtwA/HJcUVj3QD8On42f//PXYxa+DxpKzaz4ve1fPDIWNYt2sgzA//NI5/8lddnP1O0/YW3n0tWZhaRUZEs/Hkpo4f/t/ixV2A6ycAonnDF5xX3EliQegj7R3DLG+YJo3HbRsTVi2X9sjRnoDhgy7ptvHz7KE677CTq1is+uumO9Aw3VwnRMVF0Prk9UTFRDHt7CPH14xj+0b1sXrOFjj3asWFpGlPe/4n8vHwuuv3ccsuzdMZyXr/vPVSV6x6+nFP7nRj0YzbGHFgwzgimAMPdIX2fwRmT/X533WpVPa7SESK6ERYeT7tuhezZWUB8/TAiEwcwbss1hLudx37/fhG7tmYSVSeSVb+v5Z6Rt5GVmcW45yeQs8dpptjrMmcWwuQmSSQ3SWL2N7+jCiLKn2u2FQu5fulGxj77BfnZ+TRu04hel52E+A/3GQZX39+fz1+eSEFO8W/Zh0yEqGjl2J67Wbs0mi0bI6mKZADOjfT0FZud8WdLTEHg8/nIzc6nbj3neUF+ARNHfU/Xnp3YvHYLu3fs5YZHr+DSey4stl/aik3856GPSWgQz19H38HY9LcozC+kTt065ZZj/bI098whjDUL1lkiMKYGVDoRqOp3fk9nAkG/GCxhiZDwDFERHxEVvxMiT0SiLyRC9rcg6dC9DXGJseTszeOUfs79ktiEWMamj+K7D36iSZtGpeYkHvDApayYu4btaRl0PrUDk0b/QIcT2/Lr/2YxafSPZG7LxFvgo1GrZPbuyualX0Yw7PTHSVu5iaTGiSQkxePxeCigdCIQj9OmvkJUyMuDtFVRZGyJIPAkUIlkUSIJiAj1G9dj6W/LOf2KUwB4/b73mPL+NAAuve9CBv3rWsoydex0PBEedmzeyR+zVnLKxSlERB74nsfJF6Ww8Kel5GXnH/IQE8aYygn2PYJbgE/8nrcWkXnAbuBhVf2lrJ0CmeBbPEchccPKXAfQqGUD/jlxOIX5hcQmxBYtj6lbh0vu6FPmPvH143j8878z/IJ/8u3oHwjzhJGXne/M0qVOZyxFyfhzFzMnptLppHb06Hs8dX+LIS83n5lfz6Ugr+x7BhVOAi5vQRhpq6MD3LpiCUA8QlR0FLnlzOfcIaUtu3fsITI6gpj4mKLlW9ZvQ1VRVX4aO50d6Rnc8q9rSG6ahKqSuX03Pq+PjD93kb5yM806NqHtca3YuDyd2Hox1G9UeqrOfRIbJnD/+3dX6DiCRUT6AK/gTErzjqo+XWL9MOBWnElptgG3qOp6d50X2DeS4AZV7VdtBTcmyAJKBCLyPXBUGaseUtUv3W0ewvmH+dBdtxlooao7RKQ78IWIdFXV3SVfRFVHAaPAaWJX8cNwRNWJIqpOVIX2yc3OIzc7v6gPgc/rcwZa8/po3qEJyU2TSFu5mQbN6jPtk+mcedWpLPplKQBLZ6woc1KXygnihAIlqFfJzcrFEx5G0/aN6XXpSUwbN51NK7cQHumhUesG7N6xBwkTWh+zfyrfwc/dwHM3jWT3jj1EREeyZuF6Jr83jbWLNzhDSYtwVOsGhEeEk9AggV6XnsTk/0xl3PNfIp4wHv/sbxzf+9gKlbWw0Munz37B6gXrueDW3nQ/59iifiDBICIeYCRwLpAGzBGRCaq61G+zeUCKqmaLyFCc+YqvdtflBOWypzGHgYASgaqec6D1InITcBHQW92OCaqaB+S5j+eKyGqgA1BtDalzc/J4/uaR7Ni0k7teu5W2x5YeeiC5SX1ufOxKvh71PXGJsWxLy+CPWStp0aUZr//+LHnZ+Tx/y+ukrdyMN7+QCW98x9nX9OK4s4/mr2c+5iSPktdXKq3kB15wE4O30EejVg3Jy82nWbsm1G+YSG52HptXb6H+UfUozC9k9469JDV2muS26tKckbOf5vcfFjH6gQ9RlJw9OUwfP7uoFdLWjdsJD/fgLfQhAr9NmIP6nOapU8f+VuFEMPbp8fx3xGd4vV7mTlnAvyY+SNdTgzqGUA9glaquARCRsUB/oCgRqOpUv+1nAtcHswDGHC6C0WqoD/AP4AxVzfZb3gDIUFWviLQB2gNrKhuvIsa//DUz3GGmX7z1dUb6tQjy1+vSk2h9dAsSGsQTl1jXGXp6Xy/k+HAe/uQvzPrmd8Y8Po7I6EhWzVvLFcMu5rHP/sbMr+cy/pVvqu2YgkHEGTl164bt5OXkEZ8YR/3GiVzijtnT8cR2zvAQJZzQ+xiS3r8Tn0/JyszmqzcmO4lAIDI6kj07nElyRg//iDtevZk3h72PFvr47ctZxMRHM+SFm8ot069fzGLOt/O57N6LaNm5KXsy9rpDgIO30MvenXvL3fcQNQU2+j1PA046wPaDgEl+z6NFJBXnLPhpVf2irJ0CuexpTE0Lxj2C14AoYIr74bmvmejpwAgRKcC5JTmkuif3jqtf1xmOWrXYfYOSPn9pIj9+/Cux8TE8+NG9JDaqV2y9x+Oh2xld+arhdyyduYI9mVk8fPGTNO3QhK/fmlKFR1A1l4g6n9qBDUvS2bphByLC9Y9cwTnXnY4n3HPQ4ZtbdtmfIP5v/P38/uNCOp/UnvGvfs28H5wxnryFXs4feBadT2rP0BPuZ3dGFl/8exLXPHgZCUnxpV5z8fRlPHHli/h8PqZ9PJ3xO9/jhkevYMOyNNYvTaP3tadxwrkVO6MIJhG5HkgBzvBb3FJV090vOT+KyCJVXV1y32Bd9jSmKgWj1VC7cpZ/Dnxe2devjL63ncPqBetYs2A9tz9/AwALf1nKn2u2cta1vYhw58Nd9MsyomOiyNqdTfqqP0slAoDY+Bji6seiqmxYvJENizfC1/OqsPQH+swI/Fp5ctNE8vMK2b19//hCf67fyt5dWSDOyKpzvp3P+QMrPmjbcWcfzXFnHw1A++5tue+0R8jclskNj11JeEQ4UdH+M6hJ0RhOJa1fmob6fIgIudl5+Lw+6tary1NVOzNZOuB/2tPMXVaMiJwDPIRzxls0kJSqpru/14jINOB4nH40xtQ6gYxsVmutSF3N1I+ns2reWkZc+QLTJ8zh4Quf4tU73+ZfV79UtF2/O88HgQ7d29L+hNblvt6a+evI2R34zGNJTcpvLXPoAk8CEdERJDdLou9tvYmK3f+hnJG2q+hlIqIjuPAAHb4CldykPm/Ne44P173BVX/tD0CTdo05b+CZJCTH0//O80k6quz349wbz6TNsS2JjI6k/119ik9YX3XmAO1FpLWIRAIDgAn+G4jI8cBbQD9V3eq3PFFEotzHyUBP/O4tGFPb1I4hJg7Rzq2ZFOQ7w1NnZeawMnUV+fkF+Lw+ls74o+heQPdzutH9nG4AzPpmLj+Nm8HpV57CyX27k5OVy7ejf2Tr+q2sX1bqC+MB7di0kzpxUeRl5ePzaVU2CCpTQW4Bf8xaxR+zV3FU60bs3bmXve5EMiLC7c/dwN7dWbTo0KTYfZED+fyViYx9+gtadGrKk5MeIio6kpysXF4Z8jZTP/4FCRNuffo6rhjWDxHhr+8MLfUaO7dmsnfnXpp1aIKIEBkVwZvzng/68R+I2wHyLmAyTvPRd1V1iYiMAFJVdQLwHFAXGOe+N/uaiXYG3hIRH86XqadLtDYyplapNaOPHgpvoZdX7nibxb/+wWX39eW4s4/m1i7D8BZ6iawTwYs/PUHHlLZF23/3wTSeu3lk0XTAw94eQmG+lwmvf0v6ys2lpmosU4kP+9iEOrTo3Iy0lZuLbqYWbXrAISoC/buU8+FdohwiQkKjeHb9memc/aS0IW35ZgrzCyksKESBUy9O4fH//eOA0S5veAuFeYV4C70MGz2Uswf04qN/fc6YEeOKLv00bd+Y95a/Wub+m9du4dmBr5GXk0/f287hosGVPxupKBt91ByJKlOvj+hLQ55wD8NGDeHdpS9z0eDzqJsQS1z9WCLrRBLm8ZTqDDbn2/n7PzwVfvsylcjoCHcs//K/LYeFhxEZHUFEdIQz9aX7rjZs2YCU84/jpZ+f4IRzu5Xar2QS8ESEkdR03+WTQC8BlZMwSs02pk4ScNed0i+F3Kw8Cgu9+LwKCjMnziV7z4EvfTVu0whvoZfwyHBaH+O0ginIL6ROgjOMhAicdnn5jW/Slm8iNyuPiMhwlv62vNztjDHV54i+NFRSvQYJ3Pfm7Xzx2iQ6ntiONscWb8536T19mfnVHHKz8qkTH03/O8/nuLOORlG+eHUS2Xty8BZ62bU1s2iiF4CwsDBEhNiEGApy8ynIKySxcT2O7tmJY07rjKLMGD/roOXzFvho3LoRO9L3zfpVuf4EUTGRtD2uFSLCkunFP3Q/fnJ80UBz4CQlFSFj805i4vaPDaSqTBr9AxuXb6Lf0PN57vtH+WncDNp3b0vrrs77d9l9FxITX4e9u/ZySr8edDqxzPYDAHTt2Ym2x7dm6/ptXDz0/AodjzGmahzRl4bKM/7f3/D9Bz8RlxTH8P/eQ0Ly/iaNXq+XgvxC1KfUid0/1EP23hwmvjWF9JWbOfOqU3nrHx+wZv56wiPCOffG09mzM4sbHruSzK27Wbd4Awt/Wcqsib/j8/q4+I7z+HLkZHyFB+94Flsv5gAT3/hIaprLjvT9H9RhYYqvjNnM4pPjuPahy8nYvJM5k+axdtGG0i9X8p6FwLk3nkFBTgHdz+/GSRd25+fPZvD1qCmEh4fTsmuzGhsOIpjs0pA5Eh3xE9ME2+9TFlInrg67t+8hfeXmYonA4/GwfVsG9/V8mOw9OQx+7kYuvO0ctm3cwbSx0wkP97Btw3ZGznya9NWb+eXzWXzw6CcooD4fj332d5q2b8w7D35IvjsBzPhXJpVTktIK8goPcFNZiiUBAJ+v7EtIHU9sy7aN25n/42K8Xh/NOjRm764sRCB7b17RlJqe8DC8+xKUwtLfVlD/qHp8+dokvh/zE7u27WZHegYNmicTnxQX8HEYY2qPWnOPYObEVF67ZzSrF6wLeJ+FPy/l85cmsmV98SGmL7i1N7nZebQ+pgVturUqtd+DfZ9ke3oG2btz+M/DHwFQt14sEVER5OcVUL9JfTzhHlp0bMacSfOd8YZUWexefvnvE+MOadL4sDChIDc/KC2LUifP5/MXJ7J6wTq8hV7u+vcgLr27L43bHIW3wEuYJ4zwyPBSfSbik+qSm5VLnbg6ZGVmE58UR/3G9bn2wcsY+H9XlxOtuKzMLN6+fwwvD3mL3RkHmB+5DHOnLOChi59i0ugfUFV2bM5g85otFXoNY0zF1Iozgo0rNvHkda/gLfDy82cz+SR91EGbOm5Zv41Rfx9DYUEhi35dxuOf/71o3an9TuSUi1NKvYaq8sTVL7JhaVrRsrr1nB7JSY0T+dvooaSt2Myxp3cuWn/13/vxxNUv4S30cuWwiwCn/Xx4uAdvGR2oomIiKSz04i2ZKAQ8kR4Kcg/UMqnkTGblvwe67yqUQl5uHvm5Bfz02QwEoc0xLcjNzuPYM7uQtnwT29OdDt/hkeEMefEm8rLzaNG5GfOnLua3L+dwxbCLObXfiWRlZjHlg59Ialqf488+uty/wcP9nmbxL38AMH38bMZtGX2AY9ove08Oj/R7moL8QuZMmseLt70JQFxSXe59/TbOuLL03MnGmMqrFYkgOzMbn1cJ84SRn5MfcJv3fR+YZTXRLGv/+dOW8MvnM4uexyfV5env9vdubd6xKc07Fp9O8ZR+J/Jl5vuEhYXhCXfmR7jqb/2IT6rLmP8bR6NWDVi7aD25Wfk0aXcU6lO6nNKB796bVux1YuKjyc4se3jo0io2Cmd0dCT1GibgCffg8/o4+9peXHJPX5bPXsX95z5BVIwzX/HzUx+jy8kdivbrfe1p9L72tKLnH/7rf6ROnk94RDj3vjm4WNNbf+nuXMYAu7aXGmy2XPm5+e6gdcWb1e7ZsZfF0/+wRGBMFakVl4Y6ntiOy/9yEc07NeXeNwcTFnbwYjdq2YDbnr2Bc284g6Ev3RRQnISkuGKXZYa9M5SjWjY66H4RkRFFSQDgx49/JWPzLm575jriEuty69M30P/OPkRFR3J0z44MeWEgHXu0c84CIsJI6dONsDDPASJUzsARV9O2W0vuff02bnvmevrfdQEej4fERgmEhYehPiUhOY4O3Yt/sL/78Mdc3vBmhvf9JzlZueTl5BPmCUNVnUtY5bjr1ZvZl2eP6310wOWs1yCBq/52MfFJdWnt16IrIiq8zDmUjTHBEZKthg5kYIe72bz6T8I8Hm7517Usnr6MjintuO7hywPaf9wLE3j7/v+CKm2Pa80bc58FnOkfd27JpF6D+KKkkZebhyBERkfy6/iZPHXdq0WXiHICPjs4sOQWSSQmJ9CoVQMeGHN3qfka5k9dTOrkBZxzw+nFRhzdsTmD61vf4dxIVrjpiavZtHory2Yu5/xbzuJKt+ewqjOHg38iBNizay87t2TSouOhT0g//cvZrFm4gcvv60tMXMzBdwiQtRoyRyLrUOZnzrfz+e6DnyjIL3vmsIPxeMLwRIbj9XoZ/eCHzPgqlfcf+4TJ7009+M7sm6xGUZxetPuEhYWR1Dix2AdmVHQUke7AbL0uPZmvsz/i4iHnExMb6AxlBzmWyDASG8QTnxzHlvXb2LZxBwCv3f0OF8Vdz7CzHuGY0ztzzcOX8vKQt+hf7wbu6/UwOzbvJCY+hvCIcOcyXBgsT13N1LG/8Ofarfz0yQxEhPzcfJ4f9Dp3n/wgP3z4c7HYcfXqoj7l589mkFmBy0P+evbvwQ2PXBHUJGCMKe2ISASqyjMDX6Vfwg080u8pXh06quhGY0X9ZdTt+LzO5Cr7O1xp0Q3Vg7nlyWuIT4ojMjqS6x+p+PTNG5al0ahlQ2ISKvfhFxYeRp3YOqxbtJG1C9fT5eT2NG7TiG3pO/hy5GTysvJY9NMfPHvza1zV8FaWTF9O9u5clvy2nPcf/5Q6sdG88NMITr/iZAY9eZ07KYxzvScszPm94Y901i7aQN3EWL5998di8XduzeTZm0byzMDXuLblEH74qMxZSo0xh4FacbP4QGZOTOXFwW+ya8tuwtw28Z5wZb1fy5+yjHt+AtMnzOGSu/pw5lU9i5Yfc1oXGrVswI70DLw+H3ViomnRpRkDHrik3NfatXUXK39fR7ezutC8Q1M+3/ou4CSoye9PY+Xc1cQmxLBg2hKu+OvF9Lqk9BAMWzdux+f1cd3DV/D5yxNJW7H5EN8Rh/qUnL25RNWJRMKEu/59a1GZ/KX9samov8M+GZucpNfhhDY88slfAWfcppw9ufy5bis3Pn4VAE3aHkVyk/psT8/grGt6Fr1+6ncL2Lp+G3+u3UJ+jnMv4fmbR3Lm1afi8ZS+F+L1eln86x8kNIinVZfSE+IYY6pWrU8ET9/476KeuN5CL57wMBIb1WPwszeUu8+cb+fx9vD/oj5l5dw1dDmlIw2bJxetf/Lr4Yx/dRJdT+3I2X6tZsqyc+subu/2N7L35NDSndJxn3k/LOK1u0dTmFdQNCDbkunLOemi43niy+FFLZeWzVrJ6/e+i6py0z8HcOWwi5n5VeWuJatP8aoXb6G3aM4AgIbNkjn7ul5M/Xg6deKiaNutJStS908cl9AgntMuP7nU63nCPcX6EXz41Of8OOYXTr64O3ePvJXkps60lrO/+Z3/PDwWVaVO3eiieRDKm4tAVXm0/zMsmLqE6LhoHh77F447M/AbzMaYyqv1iSAiKqLopuVJF5zAPW/cVuxDvSwZf+5C3C/G+yar99esQ1Pufu3WgOKvWbCe7D05REZFsuGPtGJNW7N2ZxdNuOIvdfJCtm7YTqOWDQBYvWAd+XkFeDxhLJ+9mtiEOhWaqF0E+g4+h6btGjPq72OKlh9zWieGvHBzqTkWho+5l+Fj7gXg9uP+5vRtKCjk1P49uGjwuXQ7q2upGMtmreTDf35G805NOe+mM/n0mS/xeX1MfGsK5954Jg2aJQFOXwCfOsfco+/xTBr9I4X5hbQ+tkWZZwNZmdmsmreOsPAwcnbnsHr+OksExlSzWp8Invv+Ud762xhadW3G4OduDOgDtPf1pzHjq1T+mL2Kq//Rn+Qm9Q85/jGnd6H1MS1Zt2Qjva87vVj8npf0oM8tZ/PHrJVsXL6JbHdSm6TGiSQ2Sija7uQLT+D3KQvIzyvkzKtPJT6pLt+8/QMblqXj9XoP2NM4OjaKll2bcetT11O3Xizdz+vGx0/+jwYtkhj4fwNKzBJWWr87+/D2Pz6gTlwdrnvoctqW0dManOk89+zMYsHUxXQ9tSOR0ZFk784mKiaShOT9Q0/0vKQHOzbtJC8nn/539uHiIeexfmkaPS44oczXjU2IoeclJzJ17HSOatWQs67pdcDyGmOCz5qPBsnBOrl5vV7mT11C5rZMevQ9gboHmEN5n13bMlmeuoZv3/menJxcjj/rGKZ/MZtlM1YCEJcYw7B37qRtt5Y0bnPw/g7lycnKJTzCQ0RkRLnbjH1mPD9/NpPI6Age/PBeMv7cxYyv5tLr0h60P6HNIccG573Lzc4jOiaqQmdCh8qaj5ojUWXqtSWCWig3O5fMbXto2CK5Wj44wUlkaxduoF6jhEqdQR0O/P9hRKQP8ArOLGXvqOrTJbaNAj4AugM7gKtVdZ27bjgwCPAC96jq5APFtbptqpKNPhpiomOiiW4ZnL4GgfJ4PLQ7vvz5nGsjEfEAI4FzgTRgjohMKDHt5CBgp6q2E5EBwDPA1SLSBWee465AE+B7EemgqhUfbdCYGnZE9CMw5hD1AFap6hpVzQfGAv1LbNMfeN99/BnQW5zTsP7AWFXNU9W1wCr39YypdQ67M4K5c+duF5H1QXq5ZGB7kF6rptmxBE9L93dTYKPf8jSgZCePom3cCe8zgSR3+cwS+5YaT0NEBgOD3ad5IrK40qU/NDX1noda3JqM3fFQdzzsEoGqNgjWa4lIak3cFKwKdiy1k6qOAkZBzR53TcUOtbg1GVtEDvkGlF0aMqEsHfDvytzMXVbmNiISDiTg3DQOZF9jagVLBCaUzQHai0hrEYnEufk7ocQ2E4CB7uMrgB/VaWo3ARggIlEi0hpoD8yupnIbE1SH3aWhIBtV0wUIIjuWIHOv+d8FTMZpPvquqi4RkRFAqqpOAEYDY0RkFZCBkyxwt/sUWAoUAncG0GKoJo+7pmKHWtyajH3IcQ+7fgTGGGOql10aMsaYEGeJwBhjQtwRlwhE5DkR+UNEForIeBGp57duuIisEpHlInJ+TZYzUCLSxy3vKhF5oKbLUxEi0lxEporIUhFZIiL3usvri8gUEVnp/k6s6bIG08H+Zu4N5k/c9bNEpFU1xR3m/i0WisgPItKyrNepith+210uIioiQWleGUhcEbnKrw5+FIy4gcQWkRZu/Z/nvud9gxDzXRHZWl5/FHG86pZpoYiUPdpjSap6RP0A5wHh7uNngGfcx12ABUAU0BpYDXhqurwHORaPW842QKRb/i41Xa4KlL8xcIL7OA5Y4f4dngUecJc/sO9vdCT8BPI3A+4A3nQfDwA+qaa4ZwEx7uOhwYgbaGy/OvAzTke8lGo65vbAPCDRfd6wGv/Oo4Ch7uMuwLogxD0dOAFYXM76vsAknOkETwZmBfK6R9wZgap+p6qF7tOZOO27oXYOCRDIEAiHLVXdrKq/u4/3AMtwet/6D9vwPlD+9G+1T2WGrajSuKo6VVWz3af+/xuVFWg9fQLny1luNca9DRipqjsBVHVrNcZWIN59nABsqmxQVf0Zp/VaefoDH6hjJlBPRBof7HWPuERQwi042RHKHk6g1JAAh5naWOYyuZc/jgdmAY1Udd9cnH8Chz6G9uEnkL9ZsWErgH3DVlR1XH+D2P+/UVkHje1eomiuql8HKWZAcYEOQAcRmS4iM93RZqsr9uPA9SKSBnwD3B2k2JUtVym1sh+BiHwPHFXGqodU9Ut3m4dw2nd/WJ1lM6WJSF3gc+A+Vd3t/+VXVVVErA1zNRKR64EU4IxqihcGvAjcVB3xSgjHuTx0Js4Z0M8icoyq7qqG2NcA76nqCyJyCk5/lKNV1VcNsSukViYCVT3nQOtF5CbgIqC3uhfOqJ1DAtTGMhcjIhE4SeBDVf2fu3iLiDRW1c3uaWuwTtcPBxUZtiKtxLAVVR0XETkHeAg4Q1XzKhkz0NhxwNHANPdLwFHABBHpp6qVmaAhkGNOw7lOXgCsFZEVOIlhTiXiBhp7ENAHQFVniEg0zoB0VVnfD+0zIxg3Tg6nH5w3finQoMTyrhS/WbyGw/9mcbhbztbsvyHVtabLVYHyC86kLi+XWP4cxW8WP1vTZa3OvxlwJ8VvFn9aTXGPx7nB2b66j7nE9tMIzs3iQI65D/C++zjCOZZ3AAAM30lEQVQZ57JJUjXFngTc5D7ujHOPQIIQuxXl3yy+kOI3i2cH9JrBrBCHww/OTeCNwHz3502/dQ+5/wjLgQtquqwBHk9fnNY2q3EufdV4mSpQ9l44N8wW+v09+uJcD/8BWAl8D9Sv6bJW9d8MGAH0cx9HA+PcujobaFNNcb8Htvj9LSZU1zGX2DYoiSDAYxacy1JLgUXAgGr8O3cBprtJYj5wXhBifgxsBgpwznYGAUOAIX7HO9It06JA32cbYsIYY0LcQVsNVaYDg4gMdDsNrRSRgWXtb0xNsbptjCOQ5qPv4d7wKMcFODdf2uPMxPQGOL1HgcdwZnzqATx2pPUgNbXee1jdNubgiUAPvQPD+cAUVc1QpzPHFA78T2dMtbK6bYwjGM1Hy+vAEHDHBvGb1zU2NrZ7p06dglAsY8o2d+7c7RrYlKhWt02tUYF6Xcph0Y9A/eZ1TUlJ0dTUyjQtNubARGR9dcWyum2qS2XqdTCGmCivA0Ot7wxlQp7VbRMSgpEIJgA3ui0sTgYy1RlHZjJwnogkujfSznOXGVNbWN02IeGgl4ZE5GOccTqS3cGTHgMiAFT1TZzBlPridI7JBm5212WIyBPs78o9QlUPdGPOmGplddsYx0ETgapec5D1itNlvqx17wLvHlrRjKlaVreNcRzpw1AbY4w5CEsExhgT4iwRGGNMiLNEYIwxIc4SgTHGhDhLBMYYE+IsERhjTIizRGCMMSHOEoExxoQ4SwTGGBPiLBEYY0yIs0RgjDEhzhKBMcaEOEsExhgT4iwRGGNMiLNEYIwxIS6gRCAifURkuYisEpEHylj/kojMd39WiMguv3Vev3UTgll4YyrD6rUxjkCmqvQAI4FzgTRgjohMUNWl+7ZR1b/4bX83cLzfS+So6nHBK7IxlWf12pj9Ajkj6AGsUtU1qpoPjAX6H2D7a4CPg1E4Y6qQ1WtjXIEkgqbARr/nae6yUkSkJdAa+NFvcbSIpIrITBG5pJz9BrvbpG7bti3AohtTKVVer919rW6bw16wbxYPAD5TVa/fspaqmgJcC7wsIm1L7qSqo1Q1RVVTGjRoEOQiGVNph1Svweq2qR0CSQTpQHO/583cZWUZQInTZ1VNd3+vAaZR/DqrMTXF6rUxrkASwRygvYi0FpFInH+KUq0kRKQTkAjM8FuWKCJR7uNkoCewtOS+xtQAq9fGuA7aakhVC0XkLmAy4AHeVdUlIjICSFXVff88A4Cxqqp+u3cG3hIRH07Sedq/VYYxNcXqtTH7SfH6XfNSUlI0NTW1pothjmAiMte9vl+trG6bqlSZem09i40xJsRZIjDGmBBnicAYY0KcJQJjjAlxlgiMMSbEWSIwxpgQZ4nAGGNCnCUCY4wJcZYIjDEmxFkiMMaYEGeJwBhjQpwlAmOMCXGWCIwxJsRZIjDGmBBnicAYY0JcQIlARPqIyHIRWSUiD5Sx/iYR2SYi892fW/3WDRSRle7PwGAW3pjKsrptTAAzlImIBxgJnAukAXNEZEIZMzJ9oqp3ldi3PvAYkAIoMNfdd2dQSm9MJVjdNsYRyBlBD2CVqq5R1XxgLNA/wNc/H5iiqhnuP8gUoM+hFdWYoLO6bQyBJYKmwEa/52nuspIuF5GFIvKZiDSvyL4iMlhEUkUkddu2bQEW3ZhKs7ptDMG7WfwV0EpVj8X5ZvR+RXZW1VGqmqKqKQ0aNAhSkYwJCqvb5ogXSCJIB5r7PW/mLiuiqjtUNc99+g7QPdB9jalBVreNIbBEMAdoLyKtRSQSGABM8N9ARBr7Pe0HLHMfTwbOE5FEEUkEznOXGXM4sLptDAG0GlLVQhG5C6eSe4B3VXWJiIwAUlV1AnCPiPQDCoEM4CZ33wwReQLnHw5ghKpmVMFxGFNhVreNcYiq1nQZiklJSdHU1NSaLoY5gonIXFVNqe64VrdNVapMvbaexcYYE+IsERhjTIizRGCMMSHOEoExxoQ4SwTGGBPiLBEYY0yIs0R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            "text/plain": [
              "<Figure size 432x288 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
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}