K_means_clustering_&_Hierarchical_Clustering_Dendrogram.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyO7dfDOjUNaFreo8FkGzIOO",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/ayudixit/ML_Training/blob/main/K_means_clustering_%26_Hierarchical_Clustering_Dendrogram.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "wH5eGHNR5N55",
        "outputId": "d15e8a27-0f4e-42f9-def5-a43481ea4f8f"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x700 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ],
            "image/png": 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85feGoUOHan0n7N27tygIgvjiiy9qtpWXl4vu7u5V/p7+e4wvLS0VAwICxIEDB97zuatT+V5+9tlnYllZmfjYY4+JZmZm4t69e+95P5IGp5qTZFasWIF9+/ZpXXbv3l2r+86cOVPreuXiL7t27dL63zlz5mjtV/nLbOW06latWqF9+/aaaUfHjx+HXC7HG2+8gdTUVERFRQGoGPEOCQmBIAi1yieXyzFhwgT88MMPACoWVfPw8EBoaGiVfbOysnDw4EFMmDABeXl5yMjIQEZGBjIzMzF06FBERUUhKSmpVs/r7++v9RytWrVCu3btEBsbq9m2a9cu9OjRQ2vatqWlJaZNm4abN29qpnrt2rULLi4uGDdunGY/c3NzTJs2rVZZqpOcnIzIyEg888wzWr9sd+7cGUOGDNH8u/3biy++WKvHzsvL04wY16Ty9tzcXK3t06ZN05qJMH36dBgZGVWbp7YsLS0xceJEzfV27drBxsYGHTp0QM+ePTXbK//73/9G/x6NLysrQ2ZmJnx9fWFjY4OIiIh6Z7p06RL69esHLy8v7N+/H7a2tvV+LCIyDEOGDEF4eDhGjRqF8+fPY9GiRRg6dCjc3NzuO+24JpaWlnjyySc1101MTNCjR48qxyJnZ2c8/vjjmm3GxsaYPXs28vPzceTIkTo9Z2MeS6uzbds2hIaGwtbWVvPYGRkZGDx4MFQqldb05eqsX78eX331Fby9vfHLL7/g9ddfR4cOHTBo0CCtXD///DMCAwOrHXGu/A5S1/fu0Ucf1RrBbar3qqG5apKXlwcA9zzG13R87927N4KDgzXXW7dujdGjR2Pv3r1QqVT3f1E1eO6557S+E/bs2ROiKOK5557TbJPL5ejWrZvW3z2gfYy/c+cOcnJyEBoa2qDje2lpqWbUfNeuXXjwwQfr/VjUdDjVnCTTo0ePei+u5ufnp3Xdx8cHMplMc05OfHw8ZDJZlRXSnZ2dYWNjg/j4eM220NBQTYF17NgxdOvWDd26dYOdnR2OHTsGJycnnD9/Hk888USdMj7xxBNYtmwZzp8/j++//x4TJ06stnCPjo6GKIp499138e6771b7WGlpaXBzc7vvc7Zu3brKNltbW63zlePj47UKv0qV0+3i4+MREBCgOQf4v5nbtWt33xw1qXzfq3uMDh06YO/evVUWUKtu5fvqWFlZaQ7ONanp4P3fvydLS0u4uLg06Jxqd3f3Ku+dUqmEh4dHlW0AtP6NioqKsHDhQqxfvx5JSUlaU+xzcnLqnWnkyJFwcnLC3r17YWlpWe/HISLD0r17d+zYsQOlpaU4f/48fvnlF3z55ZcYN24cIiMj67yIVnWff7a2trhw4YLmenx8PPz8/KqsGP3vY1FdNOaxtDpRUVG4cOFCjYXifxei+y+ZTIaZM2di5syZyMzMxPHjx7F69Wrs3r0bEydO1JzSFhMTg0cfffSej1XX9+6/x9Gmeq8amqsmlcfsex3ja3t8B4C2bduisLAQ6enpVbrP1NZ/v29VHsurO8b/+/gOAH/88Qc++ugjREZGaq2bU9vBneosXLgQ+fn52L17t9a6BKRbWHiTQajpw6o2H2IhISFYu3YtYmNjcezYMYSGhkIQBISEhODYsWNwdXWFWq2udrT6Xnr27AkfHx+88soriIuLq7Fwr1yU5fXXX69x4bXatliTy+XVbhfvcW60rvv3L8P30qFDB5w7dw4lJSU1rkJ64cIFGBsbV3sgbmw1/VvU5t/opZdewvr16/HKK6+gd+/eUCqVEAQBEydOvO8iPvfy6KOPYuPGjdiyZQteeOGFej8OERkmExMTdO/eHd27d0fbtm0xZcoUbNu2rc4toxrzWFTTcfy/o5WNeSytjlqtxpAhQ/Dmm29We3vbtm1r/Vj29vYYNWoURo0ahf79++PIkSOIj4/XnAve2P57HG3q96q+uWpSWbhfuHABQUFB1e5T+aNOY660fi91Ocb/++/+2LFjGDVqFB544AGsXLkSLi4uMDY2xvr166ssylsXQ4cOxZ49e7Bo0SL079+f3VZ0FAtv0ktRUVFav5RGR0dDrVZrFuby9PSEWq1GVFSU1uJjqampyM7O1jq4VRbU+/btw99//425c+cCqFhIbdWqVXB1dYWFhYXWVKXaevzxx/HRRx+hQ4cONR4s2rRpA6BiOtbgwYPv+XgN+TW0kqenJ65fv15l+7Vr1zS3V/7vpUuXIIqi1vNWd9+6PHdNj3Ht2jU4ODjUqwcnAIwYMQLh4eHYtm2b1hTHSjdv3sSxY8cwePDgKgf7qKgoDBgwQHM9Pz8fycnJmp7gQOO897W1fft2PP300/jiiy8024qLi5Gdnd2gx/3ss89gZGSEGTNmwMrKqs6zOIio5aickZacnNwkj+/p6YkLFy5ArVZrjZD+91hUeUrMfz///jt62ljH0ppu8/HxQX5+/n0fu666deuGI0eOIDk5GZ6envDx8cGlS5fueZ/avnc1qct7VRcNzVWTYcOGQS6XY9OmTTUusPbdd9/ByMgIDz30kNb2ylMG/+3GjRswNzfXzF5ozuP7zz//DIVCgb1792oNEqxfv75Bj9urVy+8+OKLGDFiBMaPH49ffvkFRkYs83QNz/EmvbRixQqt68uXLwcAzWqplQXTf1cZXbx4MQBorfLo7e0NNzc3fPnllygrK9O0+wgNDUVMTAy2b9+OXr161esD7Pnnn8eCBQu0Cqj/cnR0RP/+/fH1119X+wXn3/09K4vShhRgDz/8ME6fPo3w8HDNtoKCAqxZswZeXl6aX4sffvhh3L59W6vFRWFhYZUepHXh4uKCoKAgbNy4Ues1XLp0CX/99ZdWoVtXL7zwAhwdHfHGG29UOZ+quLgYU6ZMgSiKmD9/fpX7rlmzBmVlZZrrq1atQnl5uebvCah47xta+NaWXC6vMjK0fPnyBp2PBlR8uVizZg3GjRuHp59+ut7nbxKR4Th06FC1I9GVp2A15PSie3n44YeRkpKCrVu3araVl5dj+fLlsLS01LSk9PT0hFwur3IO9cqVK7WuN9axtKbP+gkTJiA8PBx79+6tclt2djbKy8trfK0pKSnVtsoqLS3FgQMHtE6Ne/TRRzXT/f+r8t+ptu9dTeryXtVFQ3PVxMPDA1OmTMH+/furbeu6evVqHDx4EM899xzc3d21bgsPD9c6dzoxMRG//fYbHnzwQc3odGN8t6otuVwOQRC0juc3b97Er7/+2uDHHjx4MH788Ufs2bMHTz31VINmyFHT4E8hJJndu3drfgX9tz59+mh+ja1JXFwcRo0ahYceegjh4eHYvHkznnjiCQQGBgIAAgMD8fTTT2PNmjXIzs5Gv379cPr0aWzcuBFjxozRGt0EKorsH3/8EZ06ddL8ut61a1dYWFjgxo0b9R4Z9PT0xHvvvXff/VasWIGQkBB06tQJU6dORZs2bZCamorw8HDcunUL58+fBwAEBQVBLpfj008/RU5ODkxNTTFw4MAqPUDvZe7cufjhhx8wbNgwzJ49G3Z2dti4cSPi4uLw888/a36lnjp1Kr766itMnjwZZ8+ehYuLCzZt2tTgVlafffYZhg0bht69e+O5557TtBNTKpW1eq9qYm9vj+3bt2P48OHo2rUrnn/+efj7+yMlJQUbNmxAdHQ0li5dij59+lS5b2lpKQYNGoQJEybg+vXrWLlyJUJCQjBq1CjNPsHBwVi1ahU++ugj+Pr6wtHREQMHDqx33nsZMWIENm3aBKVSCX9/f4SHh2P//v21arV3PzKZDJs3b8aYMWMwYcIE7Nq1q8leBxHpvpdeegmFhYUYO3Ys2rdvj9LSUpw4cQJbt26Fl5cXpkyZ0iTPO23aNHz99dd45plncPbsWXh5eWH79u04fvw4lixZojlXV6lUYvz48Vi+fDkEQYCPjw/++OOPas+pboxjaU2f9W+88QZ27tyJESNGaNp0FhQU4OLFi9i+fTtu3rxZY2vGW7duoUePHhg4cCAGDRoEZ2dnpKWl4YcffsD58+fxyiuvaO77xhtvYPv27Rg/fjyeffZZBAcHIysrCzt37sTq1asRGBhY6/fuXmr7XjXFv2l9fPnll7h27RpmzJiBPXv2aEa29+7di99++w39+vWrdpAjICAAQ4cO1WonBgDvv/++Zp/KGY1vv/02Jk6cCGNjY4wcObLeM/DuZfjw4Vi8eDEeeughPPHEE0hLS8OKFSvg6+urtQZCfY0ZMwbr16/H5MmTYW1tja+//roRUlOjkWIpdWrZ7tVODP9pDYIa2olduXJFHDdunGhlZSXa2tqKs2bNEouKirSep6ysTHz//fdFb29v0djYWPTw8BDnzZun1Tqj0ooVK0QA4vTp07W2Dx48WAQgHjhwoFavrbr2GjW9/n+3ExNFUYyJiREnT54sOjs7i8bGxqKbm5s4YsQIcfv27Vr7rV27VmzTpo0ol8u12qHU9Nz9+vWr0soiJiZGHDdunGhjYyMqFAqxR48e4h9//FHlvvHx8eKoUaNEc3Nz0cHBQXz55ZfFPXv2NKidmCiK4v79+8W+ffuKZmZmorW1tThy5EjxypUrWvv8uwVWXcTFxYlTp04VW7duLRobG4sODg7iqFGjtNqnVar8tzhy5Ig4bdo00dbWVrS0tBQnTZqk1e5MFEUxJSVFHD58uGhlZSUC0LynNbXT6dixY5Xnq+nfCIA4c+ZMzfU7d+6IU6ZMER0cHERLS0tx6NCh4rVr12rVyqc61b2XhYWFYr9+/URLS0ut9mZE1LLs3r1bfPbZZ8X27duLlpaWoomJiejr6yu+9NJLYmpqqta+tW0nVt3n39NPPy16enpqbUtNTdV81pmYmIidOnXS+g5QKT09XXz00UdFc3Nz0dbWVnzhhRfES5cuVfnOIIoNP5bW9FkvihWtN+fNmyf6+vqKJiYmooODg9inTx/x888/r7b9WqXc3Fxx6dKl4tChQ0V3d3fR2NhYtLKyEnv37i2uXbu2SqvSzMxMcdasWaKbm5toYmIiuru7i08//bSYkZFRp/fu362mqlPb96o6NR3PGiNXTUpKSsQvv/xSDA4OFi0sLERzc3Oxa9eu4pIlS6p9/yuPrZs3bxb9/PxEU1NTsUuXLtUeMz/88EPRzc1NlMlkWq3Famon9t/vcDV9Z3n66adFCwsLrW3ffvutJk/79u3F9evXa+7/b3VtJ/ZvK1euFAGIr7/++j3vT81LEEU9XnWJiKgBNmzYgClTpuDvv/+u9wr7REREpHsEQcDMmTPx1VdfSR2FCADP8SYiIiIiIiJqUiy8iYiIiIiIiJoQC28iIiIiIiKiJsRzvImIiIiIiIiaEEe8iYiIiIiIiJoQC28iIiIiIiKiJmQkdYCmplarcfv2bVhZWUEQBKnjEBERVUsUReTl5cHV1RUyWcv+XZzHbiIi0gd1OXYbfOF9+/ZteHh4SB2DiIioVhITE+Hu7i51DEnx2E1ERPqkNsdugy+8raysAFS8GdbW1hKnISIiql5ubi48PDw0x62WjMduIiLSB3U5dht84V05Rc3a2poHbyIi0nmcWs1jNxER6ZfaHLtb9klkRERERERERE2MhTcRERERERFRE2LhTURERERERNSEWHgTERERERERNSEW3kRERERERERNiIU3ERERERERURNi4U1ERERERETUhFh4ExERERERETUhFt5ERERERERETYiFNxEREREREVETYuFNRERERERE1IRYeNeSSi0iPCYTv0UmITwmEyq1KHUkIiKiZrFixQp4eXlBoVCgZ8+eOH36dI379u/fH4IgVLkMHz68GRNTQ/A7DxFR4zOSOoA+2HMpGe//fgXJOcWabS5KBRaM9MdDAS4SJiMiImpaW7duxZw5c7B69Wr07NkTS5YswdChQ3H9+nU4OjpW2X/Hjh0oLS3VXM/MzERgYCDGjx/fnLGpnvidh4ioaXDE+z72XErG9M0RWgcgAEjJKcb0zRHYcylZomRERERNb/HixZg6dSqmTJkCf39/rF69Gubm5li3bl21+9vZ2cHZ2Vlz2bdvH8zNzVl46wF+5yEiajosvO9BpRbx/u9XUN0Eq8pt7/9+hVOwiIjIIJWWluLs2bMYPHiwZptMJsPgwYMRHh5eq8f49ttvMXHiRFhYWNS4T0lJCXJzc7Uu1Lz4nYeIqGmx8L6H03FZVX71/TcRQHJOMU7HZTVfKCIiomaSkZEBlUoFJycnre1OTk5ISUm57/1Pnz6NS5cu4fnnn7/nfgsXLoRSqdRcPDw8GpSb6o7feYiImhYL73tIy6v5AFSf/YiIiFqSb7/9Fp06dUKPHj3uud+8efOQk5OjuSQmJjZTQqpU6+88ufzOQ0RUH1xc7R4crRSNuh8REZE+cXBwgFwuR2pqqtb21NRUODs73/O+BQUF+PHHH/HBBx/c93lMTU1hamraoKzUMLX9LrN43w0YyWV4KMAZcpnQxKmIiAyHpCPeR48exciRI+Hq6gpBEPDrr79W2efq1asYNWoUlEolLCws0L17dyQkJDRLvh7ednBRKlDTYUVAxUqfPbztmiUPERFRczIxMUFwcDAOHDig2aZWq3HgwAH07t37nvfdtm0bSkpK8OSTTzZ1TGoEld957kUAEJ9ViJnfR2DIl0ew7UwiylTq5glIRKTnJC28CwoKEBgYiBUrVlR7e0xMDEJCQtC+fXscPnwYFy5cwLvvvguFonlGmOUyAQtG+gNAjcX3gpH+/MWXiIgM1pw5c7B27Vps3LgRV69exfTp01FQUIApU6YAACZPnox58+ZVud+3336LMWPGwN7evrkjUz38+zvPfwl3L5+N64zZg/xgrTBCbHoB3th+Af0/O4xN4TdRXKZq1rxERPpG0qnmw4YNw7Bhw2q8/e2338bDDz+MRYsWabb5+Pg0RzSNhwJcsOrJrlV6WsplAlY80YU9LYmIyKA99thjSE9Px/z585GSkoKgoCDs2bNHs+BaQkICZDLt3/GvX7+OsLAw/PXXX1JEpnoa1MEJVgoj5BWXa213/k8f76mh3thyKgHfHItDUnYR3v3tMpYeiMbUUG9M6uUJS1OeyUhE9F+CKIo60RdCEAT88ssvGDNmDICKqWxKpRJvvvkmwsLCcO7cOXh7e2PevHmafapTUlKCkpISzfXc3Fx4eHggJycH1tbW9c6nUos4HZeFhKwCzNtxEWoROPbmAHjYmdf7MYmIiCrl5uZCqVQ2+HhlCPheSGPflVRM/e4M7C2MsXRiF2QWlMLRquKUuupm9xWXqfDTmUR8fSQWSdlFAAClmTGe6eOFKX29YGNu0twvgYioWdXleKWzq5qnpaUhPz8f//vf//DQQw/hr7/+wtixY/HII4/gyJEjNd6vqVqSyGUCevvY47HurdG1tS0A4Hh0RqM8NhEREZHUtp2pWE3+ka7uCPFrhdFBbujtY1/jKXUKYzkm9/bCodf7Y9G4zmjjYIGcojIsPRCFvv87iIW7rrLzCxHRXTpbeKvVFYt1jB49Gq+++iqCgoIwd+5cjBgxAqtXr67xfs3RkiTEzwEAcIyFNxERERmAjPwSHLyWBgAY361ugxYmRjJM6OaBfXP64asnuqCDizUKSlX4+mgsQj49hHd/vYTErMKmiE1EpDd0tvB2cHCAkZER/P21F/ro0KHDPVc1NzU1hbW1tdalsYX4VhTeJ6IzoFbrxEx9IiIionr79VwSytUiAt2VaOtkVa/HkMsEjOjsil2zQ7DumW7o2toGpeVqbDoZjwGfH8ZrP51HdFp+IycnItIPOlt4m5iYoHv37rh+/brW9hs3bsDT01OiVBUCPWxgaWqEO4VluJKcK2kWIiIiooYQRRHbztwCAIyr42h3dQRBwMD2Tvh5eh/8MLUXQnwdUK4W8XPELQz58ghmbDmLS0k5DX4eIiJ9Iumyk/n5+YiOjtZcj4uLQ2RkJOzs7NC6dWu88cYbeOyxx/DAAw9gwIAB2LNnD37//XccPnxYutAAjOUy9Gpjh/1X03AsKgMBbkpJ8xARERHV18WkHFxPzYOJkQyjOrs22uMKQsX6OL197BGZmI0Vh6Kx70oqdl1Mwa6LKRjQrhVmDvBFNy+7RntOIiJdJemI95kzZ9ClSxd06dIFQEWv0C5dumD+/PkAgLFjx2L16tVYtGgROnXqhG+++QY///wzQkJCpIwN4J/p5lxgjYiIiPRZ5Wj30I7OUJobN8lzBHnYYO3kbtjzSihGBbpCJgCHrqdj3OpwPPZ1OI5FpUNHGu0QETUJnWkn1lSaqiVJdFoeBi8+ChMjGS4seBAKY3mjPTYREbU8bKH1D74Xzae4TIUeH+9HbnE5vnu2Bx5o26pZnvdmRgFWH4nBzxG3UKaq+Coa6K7EjAG+GNLBCbIaVlInItIlBtFOTNf5tLKEs7UCpeVqnLl5R+o4RERERHW270oqcovL4aJUoO/d2XzNwcvBAv97tDOOvjkAU/p6QWEsw/lbOXhh01k8tPRoxWJvKnWz5SEiamosvOtJEATNAepYdLrEaYiIiIjqbtvZimnmj3Z1r7Ffd1NyUZphwciOCHtrIGb094GVqRFupObjla2RGPjFEXx/KgEl5apmz0VE1NhYeDdAqB/P8yYiIiL9lJxThGNRFYMH44LdJc3iYGmKNx9qj7C5A/H6g21hZ2GChKxC/N8vF9Fv0WF8GxaHwtJySTMSETUEC+8GqBzxvnw7F1kFpRKnISIiIqq9HRFJEEWgh5cdvBwspI4DAFCaGWPWQD+EvTUA747wh5O1KVJyi/HhH1cQ8ukhfHUwCjlFZVLHJCKqMxbeDdDKyhTtna0gihz1JiIiIv1R0bs7EQAwrpu0o93VMTcxwnMh3jj65gAsfKQTWtuZI6ugFJ//dQMh/zuIRXuuITO/ROqYRES1xsK7gdhWjIiIiPTNmfg7uJlZCHMTOYZ3cpE6To1MjeR4vEdrHHytH5Y8FoS2TpbIKynHysMx6PvpQbz/+2Uk5xRJHZOI6L5YeDdQ37vneR+LymD/SSIiItILlaPdD3dygYWpkcRp7s9ILsOYLm7Y8/ID+PqpYHR2V6K4TI31x2/igUWHMPfnC7iZUSB1TCKiGrHwbqCe3nYwlgtIyi5CfGah1HGIiIiI7qmwtBx/XkgGAIyXeFG1upLJBAzt6IzfZvbFpud6oKe3HcpUIn78OxEDvziM2T+cw/WUPKljEhFVwcK7gcxNjNC1tS0A4BinmxMREZGO23UxBQWlKnjam6OHt53UcepFEASE+rXC1hd6Y/uLvTGgXSuoRWDn+dsYuuQopn53BpGJ2VLHJCLSYOHdCDRtxaJYeBMREZFu0yyq1tUdgtD8vbsbWzcvO6yf0gN/vBSChzs5QxCAfVdSMWbFcTz5zSmciOHpgEQkPRbejaCyrdiJmAyo1PxgJyIiIt2UkFmIU3FZEATgUT2bZn4/AW5KrJwUjH2v9sOjXd0hlwkIi87AE2tP4dFVJ3DwWioLcCKSDAvvRtDZ3QbWCiPkFpfjYlKO1HGIiIiIqrX9bMVod4ivA1xtzCRO0zR8HS3xxYRAHH69P57q5QkTIxkiErLx7IYzeHhZGP64cJsDJUTU7Fh4NwK5TEAfn4pR77CodInTEBEREVWlVov4OSIJADC+m4fEaZqeh505PhwTgLA3B+CFB9rAwkSOq8m5mPX9OQxZfAQ/nUlEmUotdUwiaiFYeDeSf7cVIyIiItI1J2IykZRdBGuFER70d5I6TrNxtFZg3sMdcHzuQLw8yA9KM2PEZhTgze0X0P+zw/gu/CaKy1RSxyQiA8fCu5GE3j3POyLhDgpLyyVOQ0RERKRt291p5qOCXKEwlkucpvnZmJvg1SFtcXzuQMwb1h4OlqZIyi7C/N8uI+TTQ1h9JAb5JfwOR0RNg4V3I/G0N4ebjRnKVCJOxWVJHYeIiIhII6eoDHsupQAAxgcb/jTze7E0NcIL/XwQ9tYAfDi6I9xszJCRX4L/7b6GPgsPYPG+G7hTUCp1TCIyMCy8G0lFP0m2FSMiIiLd88eF2ygpV6OtkyU6uyuljqMTFMZyPNXbC4ff6I/PxweiTSsL5BaXY9mBKPT99CA+2XUVabnFUsckIgPBwrsRVbYVC4tm4U1ERES6Y9uZWwAqRrsNoXd3YzKWyzAu2B37Xu2HFU90hb+LNQpLVVhzNBYhiw7hnV8vIjGrUOqYRKTnWHg3osrC+1pKHtLy+AspERERSS86LQ+RidmQywSM6eImdRydJZcJGN7ZBX/ODsH6Z7oj2NMWpeVqbD6ZgP6fH8acnyIRnZYvdUwi0lMsvBuRnYUJOrpaAwBORGdKnIaIiIjon9HuAe0c0crKVOI0uk8QBAxo74jtL/bGj9N6IdTPASq1iB0RSRjy5RFM33wWl5JyqtxPpRYRHpOJ3yKTEB6TyV7hRKTFSOoAhibEzwGXb+ciLDqDvyoTERGRpMpVauw4V9m7213iNPpFEAT0amOPXm3scT4xGysOReOvK6nYfSkFuy+loF/bVpg10Bfdveyw51Iy3v/9CpJz/pnx6KJUYMFIfzwU4CLhqyAiXcHCu5GF+rbC10diERaVAVEUeR4VERERSebIjXSk55XA3sIEA9s7Sh1HbwV62GDN5G64npKHVYejsfP8bRy5kY4jN9Lh62hZ7RT0lJxiTN8cgVVPdmXxTUScat7YunnZwsRIhpTcYsSkF0gdh4iIiFqwymnmY7q4wVjOr30N1c7ZCksmdsGh1/vj8R4eMJKhxvO+Kyeav//7FU47JyIW3o1NYSxHDy87AEBYVLrEaYiIiKilyswvwYFrqQA4zbyxedpbYOEjnbF0Ypd77icCSM4pxum4rOYJRkQ6i4V3E2BbMSIiIpLar5G3UaYS0clNifbO1lLHMUjltRzJZrcbImLh3QRC/SoK75OxWShTqSVOQ0RERC2NKIrYdiYRAEe7m5KjlaJR9yMiw8XCuwn4u1jD1twY+SXlOJ+YLXUcIiIiamEu387FtZQ8mMhlGBXoKnUcg9XD2w4uSgXutZSui1KBHt52zZaJiHQTC+8mIJMJ6MPp5kRERCSRytHuIR2dYGNuInEawyWXCVgw0h8Aaiy+3xjaDnIZu9wQtXQsvJtISGXhHcXCm4iIiJpPSbkKv52/DQAYH8xp5k3toQAXrHqyK5yV2tPJ5Xdr7d2XUqDmquZELR77eDeRysL7XGI28orLYKUwljgRERERtQT7r6Qhu7AMztYKhPq1kjpOi/BQgAuG+DvjdFwW0vKK4WilgMJYhse+Pol9V1Kx6kgMZg7wlTomEUmII95NxMPOHF725lCpRZyKZQsJIiIiah7bzlZMM3+kqxunODcjuUxAbx97jA5yQ28fe3RpbYsPRncEAHzx13XOgiRq4Vh4NyG2FSMiIqLmlJJTjKM30gEA4zjNXHITe7TGhG7uUIvA7B/P4XZ2kdSRiEgiLLybUGVbMRbeRERE1Bx2nLsFtQh087RFm1aWUschAB+MDkCAmzWyCkoxfUsESspVUkciIgmw8G5Cvds4QCYA0Wn5SM7hL5xERETUdERRxPYztwCwd7cuURjLsWpSMJRmxjifmI0Pfr8idSQikoCkhffRo0cxcuRIuLq6QhAE/PrrrzXu++KLL0IQBCxZsqTZ8jWU0twYndxtAADHozOlDUNEREQGLSLhDmIzCmBmLMfwzuzdrUs87MyxZGIQBAHYcioB28/ekjoSETUzSQvvgoICBAYGYsWKFffc75dffsHJkyfh6qp/B5EQX3sAQFhUusRJiIiIyJBtuzvaPayTMyxN2bhG1wxo54iXB/kBAN7+5SIu386ROBERNSdJC+9hw4bho48+wtixY2vcJykpCS+99BK2bNkCY2P9a8kV4lvRxiMsOhOiyB6ORERE1PgKS8vxx4VkAMCEbh4Sp6GazB7ohwHtWqGkXI3pmyOQU1gmdSQiaiY6fY63Wq3GU089hTfeeAMdO3as1X1KSkqQm5urdZFSV08bmBnLkZFfguupeZJmISIiIsO051IK8kvK0drOHD297aSOQzWQyQR8+VgQ3G3NkJBViFd/ioRazYEZopZApwvvTz/9FEZGRpg9e3at77Nw4UIolUrNxcND2l99TY3k6HH3AMj+jURERNQUKqeZjwt2hyCwd7cuszE3weong2FqJMPBa2lYcSha6khE1Ax0tvA+e/Ysli5dig0bNtTpADJv3jzk5ORoLomJiU2YsnbYVoyIiIiaSmJWIcJjMyEIwKPs3a0XAtyU+HBMAABg8f4bOHKDawERGTqdLbyPHTuGtLQ0tG7dGkZGRjAyMkJ8fDxee+01eHl51Xg/U1NTWFtba12k1te3ovA+FZuF0nK1xGmIiIjIkFSukN3XxwFuNmYSp6HamtDNA4/3aA1RBF7+8RwSswqljkRETUhnC++nnnoKFy5cQGRkpObi6uqKN954A3v37pU6Xp20d7aCg6UJispUiEi4I3UcIiIiMhBqtagpvNm7W/+8N8ofge5KZBeWYcaWCBSXqaSORERNRNLCOz8/X1NUA0BcXBwiIyORkJAAe3t7BAQEaF2MjY3h7OyMdu3aSRm7zgRB0Ix68zxvIiIiaiwnYzORlF0EK4URhnZ0ljoO1ZGpkRwrnwyGrbkxLibl4L2dl6WORERNRNLC+8yZM+jSpQu6dOkCAJgzZw66dOmC+fPnSxmrSYT48jxvIiIialzb7o52jwx0hcJYLnEaqg83GzMse7wLBAH48e9EbP07QepIRNQEjKR88v79+9ept/XNmzebLkwTC7m7wNqFW9nIKSyD0lz/epITERGR7sgtLsPuSxW9u8dzUTW9FurXCq8NaYvP/7qBd3+7DH8XJTq5K6WORUSNSGfP8TY0Lkoz+LSygFoEwmMzpY5DREREeu7PC8koLlPD19ESQR42UsehBprR3xeDOziitFyN6VvO4k5BqdSRiKgRsfBuRv9MN2fLCCIiImqYbWcqWqaOZ+9ugyCTCfhiQhA87c1x604RXtkaCZW69jNDiUi3sfBuRiF+rQAAx6M54k1ERET1F52Wj4iEbMhlAsZ2dZM6DjUSpZkxVk0KhsJYhiM30rHsQJTUkYiokbDwbkY929hBLhMQl1GAW3fYq5GIiIjqp7KFWP+2reBopZA4DTUmf1drfDK2EwBg6YEoHLqWJnEiImoMLLybkbXCWHMO1nGubk5ERET1UK5SY0cEe3cbske6uuOpXp4AgJd/PIeETA7YEOk7Ft7NrPI872Ps501ERET1cCwqA2l5JbCzMMHA9k5Sx6Em8s6IDgjysEFucTle3HwWxWUqqSMRUQOw8G5mlW3FTsRkQs0FM4iIiKiOfrq7qNroIFeYGPGrnKEyNZJj1ZNdYW9hgivJuXjn10t1asNLRLqFn9bNLMjDBhYmcmQVlOJKcq7UcYiIiEiPZBWUYv/VVADA+GAPidNQU3NRmmH5410gEyrO6//hdKLUkYionlh4NzNjuQy92tgDAMJ4njcRERHVwW+RSShTiejoag1/V2up41Az6OPrgDeGtgcAvLfzMs4nZksbiIjqhYW3BCqnm3OBNSIiIqqLbWfuLqoWzEXVWpIX+7XBg/5OKFWpMX3zWWQVlEodiYjqiIW3BCoXWDsdl8WFMoiISOetWLECXl5eUCgU6NmzJ06fPn3P/bOzszFz5ky4uLjA1NQUbdu2xa5du5opreG6fDsHV5JzYSKXYXQQe3e3JIIg4PMJgfB2sMDtnGK8/OM5qLhWEJFeYeEtAV9HSzhZm6KkXI2z8XekjkNERFSjrVu3Ys6cOViwYAEiIiIQGBiIoUOHIi2t+t7CpaWlGDJkCG7evInt27fj+vXrWLt2LdzcWCg2VOVo92B/R9hamEichpqbtcIYq58MhpmxHMeiMvDlvhtSRyKiOmDhLQFBENCXbcWIiEgPLF68GFOnTsWUKVPg7++P1atXw9zcHOvWrat2/3Xr1iErKwu//vor+vbtCy8vL/Tr1w+BgYHNnNywlJar8VtkEgAuqtaStXO2wv8e7QQA+OpQNPZdSZU4ERHVFgtviYTyPG8iItJxpaWlOHv2LAYPHqzZJpPJMHjwYISHh1d7n507d6J3796YOXMmnJycEBAQgE8++QQqFU+taogDV1Nxp7AMjlammu8Q1DKNDnLDM328AABzforEzYwCaQMRUa2w8JZI5Yj3pds5uMMFMoiISAdlZGRApVLByclJa7uTkxNSUlKqvU9sbCy2b98OlUqFXbt24d1338UXX3yBjz76qMbnKSkpQW5urtaFtG07WzHN/JGu7jCS8+tbS/d/D3dAsKct8orL8eLmsygq5Q9bRLqOn9wScbRSoJ2TFUQROBGTKXUcIiKiRqFWq+Ho6Ig1a9YgODgYjz32GN5++22sXr26xvssXLgQSqVSc/Hw4FTqf0vLLcbh6xXn1I/vxtXMCTAxkmHlpK5wsDTFtZQ8/N8vFyGKXGyNSJex8JZQZVuxsOh0iZMQERFV5eDgALlcjtRU7fNIU1NT4ezsXO19XFxc0LZtW8jlcs22Dh06ICUlBaWl1c/wmjdvHnJycjSXxMTExnsRBmDHuSSoRSDY0xY+rSyljkM6wslaga+e6AK5TMAv55Kw+WS81JGI6B5YeEso5F8LrPFXSiIi0jUmJiYIDg7GgQMHNNvUajUOHDiA3r17V3ufvn37Ijo6Gmq1WrPtxo0bcHFxgYlJ9Stxm5qawtraWutCFURRxLYzFT9EsHc3/VevNvaY+1B7AMAHf1xBRAK75RDpKhbeEurhbQdjuYBbd4qQkFUodRwiIqIq5syZg7Vr12Ljxo24evUqpk+fjoKCAkyZMgUAMHnyZMybN0+z//Tp05GVlYWXX34ZN27cwJ9//olPPvkEM2fOlOol6LVzidmISS+AwliG4Z1dpI5DOuj5UG883MkZZSoRMzZHICO/ROpIRFQNI6kDtGQWpkbo0toWp+OycCwqA572FlJHIiIi0vLYY48hPT0d8+fPR0pKCoKCgrBnzx7NgmsJCQmQyf75Hd/DwwN79+7Fq6++is6dO8PNzQ0vv/wy3nrrLalegl6r7N39cIALrBTGEqchXSQIAhaNC8T1lDzEpBfgpe/PYdNzPbgIH5GOEUQDn+Ocm5sLpVKJnJwcnZy6tvxAFL7YdwPDApyx6slgqeMQEZFEdP141Zz4XlQoKlWhx8f7kVdSju+n9kQfH7YRo5pFp+Vh1FfHUViqwov9fDB3WHupIxEZvLocr/hTmMT63l1g7URMJlRqg/4NhIiIiOpg7+UU5JWUw93WDL287aWOQzrO19EKi8Z1BgCsPhKDPZeqb/lHRNJg4S2xzm5KWCmMkFNUhktJOVLHISIiIh2x7WzFomrjgt0hkwkSpyF9MKKzK54L8QYAvL7tPGLT8yVORESVWHhLzEguQx+fil+xw6IzJE5DREREuuDWnUKciMkEADzalauZU+3NHdYePbzskF9Sjhc3n0VhabnUkYgILLx1QmVbsbAoFt5EREQE/Hw2CaII9PGxh4edudRxSI8Yy2X46okuaGVlihup+Zj780W2rSXSASy8dUCIXysAwNn4OygqVUmchoiIiKSkVovYHnG3d3c3jnZT3TlaK7ByUlcYyQTsPH8bG07clDoSUYvHwlsHeNmbw83GDKUqNU7FZUodh4iIiCR0Ki4LiVlFsDI1wkMd2bub6qe7lx3mPdwBAPDxn1dx5maWxImIWjYW3jpAEATNdPPjPM+biIioRatcVG1EoAvMTOQSpyF99mxfL4zo7IJytYgZWyKQllcsdSSiFouFt46obCt2jOd5ExERtVj5JeXYfbGiDdS4YA+J05C+EwQBnz7aGX6OlkjLK8Gs78+hTKWWOhZRi8TCW0f0vbuy+bWUPKTnlUichoiIiKTw54XbKCpToU0rC3RtbSN1HDIAFqZGWPVkMCxNjXA6LguL9lyTOhJRi8TCW0fYW5rC38UaAHAihqPeRERELdG2M7cAAOODPSAI7N1NjcPX0RKfj+8MAFh7LA67LiZLnIio5WHhrUNC/dhWjIiIqKWKTc/Hmfg7kAnAI13dpI5DBuahABe88EAbAMAb284jOi1P4kRELQsLbx0SUll4R2ew3yIREVELs/1sxWh3v7at4GStkDgNGaI3hrZDrzZ2KChV4cXNEcgvKZc6ElGLwcJbh3T3soOJkQzJOcWIzSiQOg4RERE1E5VaxM8Rd6eZd+OiatQ0jOQyLH+8K5ysTRGdlo+3tl/gYA9RM5G08D569ChGjhwJV1dXCIKAX3/9VXNbWVkZ3nrrLXTq1AkWFhZwdXXF5MmTcfv2bekCNzGFsRzdvWwBcLo5ERFRS3I0Kh2puSWwMTfGoA6OUschA9bKyhQrJwXDWC7gz4vJ+DYsTupIRC2CpIV3QUEBAgMDsWLFiiq3FRYWIiIiAu+++y4iIiKwY8cOXL9+HaNGjZIgafPp68u2YkRERC3N9ruLqo0JcoOpEXt3U9MK9rTFO8P9AQALd1/DqdhMiRMRGT4jKZ982LBhGDZsWLW3KZVK7Nu3T2vbV199hR49eiAhIQGtW7dujojNLtS3FRbhOk7GZqJcpYaRnGcDEBERGbLswlLsu5IKABgX7C5xGmopJvf2xLmEO/g18jZm/XAOf74UAkeuLUDUZPSqqsvJyYEgCLCxsZE6SpPxd7WGjbkx8kvKcf5WttRxiIiIqIn9FnkbpSo1OrhYI8BNKXUcaiEEQcAnj3RCOycrpOeVYMaWCJSp1FLHIjJYelN4FxcX46233sLjjz8Oa2vrGvcrKSlBbm6u1kWfyGUC+vpUthXjtB8iIiJDt+1sIgBgQjeOdlPzMjcxwuqngmFlaoQz8XewcNc1qSMRGSy9KLzLysowYcIEiKKIVatW3XPfhQsXQqlUai4eHvq3Mmjled5h0ekSJyEiIqKmdDU5F5eScmEsFzA6iL27qfl5O1jgiwmBAIB1x+Ow87zhLmRMJCWdL7wri+74+Hjs27fvnqPdADBv3jzk5ORoLomJic2UtPGE3u3nfS4hm/0ViYiIDNi2u4uqDe7gBDsLE4nTUEv1YEdnzOjvAwB4a/sF3EjNkzgRkeHR6cK7suiOiorC/v37YW9vf9/7mJqawtraWuuibzzszOFpb45ytchVJomIiAxUabkav0YmAQDGc5o5Sey1B9uhr689ispUeHHTWeQVl0kdicigSFp45+fnIzIyEpGRkQCAuLg4REZGIiEhAWVlZRg3bhzOnDmDLVu2QKVSISUlBSkpKSgtLZUydrP4Z7o524oREREZooPX0pBVUApHK1M84NdK6jjUwsllApZN7AIXpQKxGQV4Y9sFiKIodSwigyFp4X3mzBl06dIFXbp0AQDMmTMHXbp0wfz585GUlISdO3fi1q1bCAoKgouLi+Zy4sQJKWM3i9DKwpv9vImIiAzS9ruLqo3t6sb2oaQT7C1NsXJSVxjLBey5nII1R2OljkRkMCTt492/f/97/pLWkn9l6+1jD0EAotLykZJTDGcl+yoSEREZirS8Yhy6XrGI6vhg/VsIlgxXl9a2WDCyI9759RI+3XMNndyV6HO34w4R1R9/XtVRNuYm6Hy3l+dxTjcnIiIyKL+eS4JKLaJLaxv4OlpKHYdIy6SerfFIVzeoReCl788hOadI6khEeo+Ftw7jed5ERESGRxRFzWrmHO0mXSQIAj4e0wkdXKyRWVCKGVsiUFquljoWkV5j4a3DQvz+Kbxb8rR7IiIiQ3L+Vg6i0vKhMJZhRKCL1HGIqmVmIsfqJ7vCWmGEcwnZ+PjPK1JHItJrLLx1WLCnLRTGMqTnleBGar7UcYiIiKgRbDtTsajaQx2dYa0wljgNUc087S3w5WNBAICN4fH49VyStIGI9BgLbx1maiRHD++K3uWcbk5ERKT/istU2Hn+NgBgfDdOMyfdN6iDE2YP9AUAzN1xAVeTcyVORKSfWHjruH/aiqVLnISIiIgaau/lFOQVl8PNxgy929hLHYeoVl4e3Bahfg4oLlNj+uazyCkqkzoSkd5h4a3jKhdYOxWXxUUtiIiI9Nz2sxWLqj0a7A6ZTJA4DVHtyGUClk3sAjcbM9zMLMTr285Dreb6Q0R1wcJbx7V3toKDpQkKS1U4l3BH6jhERERUT0nZRZpTx8YHu0uchqhubC1MsOrJrjCRy7DvSipWHYmROhKRXmHhreNkMgF9fCpGvdnPm4iISH/tOHsLogj0amMHDztzqeMQ1Vlndxt8MLojAOCLv64jLIrfTYlqi4W3HqhsK3aMhTcREZFeEkUR2yPYu5v038QerTGhmzvUIjD7x3NIyi6SOhKRXmDhrQdC7p7nfT4xm4tZEBER6aHTcVmIzyyEpakRhnVyljoOUYN8MDoAAW7WyCooxYzNZ1FSrpI6EpHOY+GtB1xtzNCmlQXUInAyNlPqOERERFRH2+4uqja8kwvMTYwkTkPUMApjOVZNCobSzBjnb+Xgg9+vSB2JSOex8NYTIZq2YpxuTkREpE8KSsqx62IyAGB8Ny6qRobBw84cSyYGQRCALacSNCv2E1H1WHjricrCmwusERER6Zc/LyajsFSFNg4WCPa0lToOUaMZ0M4RLw/yAwC8/ctFXL6dI3EiIt3FwltP9PKxh1wmIDajgItYEBER6ZHtZ/7p3S0I7N1NhmX2QD8MaNcKJeVqvLj5LHIKuR4RUXVYeOsJa4UxAt2VAIDjnG5ORESkF+IyCnD6ZhZkAvBoV04zJ8Mjkwn48rEguNuaITGrCK/+FAm1WpQ6FpHOYeGtR0L8WgFgWzEiIiJ9sf1sIgAg1K8VnJUKidMQNQ0bcxOsfjIYpkYyHLyWhq8ORUsdiUjnsPDWI5XneZ+IzuAviURERDpOpRbx89kkAMCEbuzdTYYtwE2JD8cEAAC+3H8DR26kS5yISLew8NYjXVrbwMJEjsyCUlxNyZU6DhEREd1DWHQGUnKLYWNujMH+jlLHIWpyE7p54PEerSGKwMs/nkNiVqHUkYh0BgtvPWIsl6FnG3sAbCtGRESk67adqZhmPjrQFaZGconTEDWP90b5I9BdiezCMszYEoHiMpXUkYh0AgtvPaPp583zvImIiHRWTmEZ/rqSCgAYz2nm1IKYGsmx8slg2Job42JSDt7beVnqSEQ6gYW3ngnxqyi8T8dl8RdEIiIiHbXzfBJKy9Vo72yFjq7WUschalZuNmZY9ngXCALw49+J2Pp3gtSRiCTHwlvP+DlawsnaFCXlakTE35E6DhEREVVj29mK3t3ju3mwdze1SKF+rfDakLYAgHd/u4yLt3IkTkQkLRbeekYQBPS9O92cbcWIiIh0z/WUPFy4lQMjmYAxQa5SxyGSzIz+vhjcwRGl5Wq8uPks7hSUSh2JSDIsvPVQ5Xnex1l4ExHRPRQXF0sdoUWqXFRtUAdH2FuaSpyGSDoymYAvJgTB094cSdlFeHlrJFRsiUstFAtvPVRZeF9MyuEvh0REpEWtVuPDDz+Em5sbLC0tERsbCwB499138e2330qczvCVqdT4NbKid/f4YC6qRqQ0M8aqScFQGMtw9EY6lh6IkjoSkSRYeOshR2sF2jpZQhSB8NhMqeMQEZEO+eijj7BhwwYsWrQIJiYmmu0BAQH45ptvJEzWMhy6loaM/FI4WJqif7tWUsch0gn+rtb4ZGwnAMCyA1E4eC1V4kREzY+Ft54K8a04mB9jP28iIvqX7777DmvWrMGkSZMgl//TOzowMBDXrl2TMFnLULmo2iNd3WAk59csokqPdHXHU708AQCv/BiJhMxCiRMRNS8eEfRUiJ89ACAsOl3iJEREpEuSkpLg6+tbZbtarUZZWZkEiVqOjPwSHLqWBgAYH+wucRoi3fPOiA4I8rBBbnE5Xtx8lq1xqUVh4a2nenrbw0gmIDGriL8YEhGRhr+/P44dO1Zl+/bt29GlSxcJErUcv55LQrlaRKCHDfycrKSOQ6RzTI3kWPVkV9hbmOBKci7e+fUSylVqhMdk4rfIJITHZHLxNTJYRlIHoPqxMDVC19a2OH0zC8ei0zHJ3lPqSEREpAPmz5+Pp59+GklJSVCr1dixYweuX7+O7777Dn/88YfU8QyWKIrYduZu726OdhPVyEVphuWPd8GT357C9rO38NflVOQWl/3rdgUWjPTHQwEuEqYkanwc8dZjIX5sK0ZERNpGjx6N33//Hfv374eFhQXmz5+Pq1ev4vfff8eQIUOkjmewLibl4HpqHkyNZBgZyN7dRPfSx9cBowLdAECr6AaAlJxiTN8cgT2XkqWIRtRkWHjrsX8Kb07LISIioLy8HB988AG8vb2xb98+pKWlobCwEGFhYXjwwQeljmfQKke7h3Z0htLMWOI0RLpNpRZxMq76zjyV32jf//0Kv9+SQWHhrcc6uylhpTBCTlEZLt/OkToOERFJzMjICIsWLUJ5ebnUUVqU4jIVfqvs3d2N08yJ7ud0XBZScoprvF0EkJxTjNNxWc0XiqiJsfDWY0ZyGXq3qVjdnG3FiIgIAAYNGoQjR45IHaNF2XclFbnF5XBVKtDHx0HqOEQ6Ly2v5qK7PvsR6QNJC++jR49i5MiRcHV1hSAI+PXXX7VuF0UR8+fPh4uLC8zMzDB48GBERUVJE1ZH8TxvIiL6t2HDhmHu3Ll4/fXX8cMPP2Dnzp1aF2p8lb27Hw12h1wmSJyGSPc5WikadT8ifSDpquYFBQUIDAzEs88+i0ceeaTK7YsWLcKyZcuwceNGeHt7491338XQoUNx5coVKBT8PyIAhPhWFN5nbt5BUakKZiZyiRMREZGUZsyYAQBYvHhxldsEQYBKxb65jSk5pwjHotIBAOO4mjlRrfTwtoOLUoGUnGJUdxa3AMBZqUAPb7vmjkbUZCQd8R42bBg++ugjjB07tsptoihiyZIleOeddzB69Gh07twZ3333HW7fvl1lZLwl83awgKtSgVKVGn/f5HkwREQtnVqtrvHCorvx7YhIgihWFBKe9hZSxyHSC3KZgAUj/QFUFNnVWTDSnzNIyKDo7DnecXFxSElJweDBgzXblEolevbsifDw8BrvV1JSgtzcXK2LIRMEQTPdPIzTzYmIiJpNRe/uRADs3U1UVw8FuGDVk13hrKw6i/W9UR3Zx5sMjs4W3ikpKQAAJycnre1OTk6a26qzcOFCKJVKzcXDw6NJc+qCvnenm3OBNSIiAoAjR45g5MiR8PX1ha+vL0aNGoVjx47V+/FWrFgBLy8vKBQK9OzZE6dPn65x3w0bNkAQBK2LoZ4edib+Dm5mFsLcRI6HO7FIIKqrhwJcEPbWQPwwtReWTgxCVw8bAGC3HjJIOlt419e8efOQk5OjuSQmJkodqclVFt5Xk3ORkV8icRoiIpLS5s2bMXjwYJibm2P27NmYPXs2zMzMMGjQIHz//fd1frytW7dizpw5WLBgASIiIhAYGIihQ4ciLS2txvtYW1sjOTlZc4mPj2/IS9JZlaPdwzu5wMJU0mVziPSWXCagt489Rge54Z270893RCTh1p1CiZMRNS6dLbydnZ0BAKmpqVrbU1NTNbdVx9TUFNbW1loXQ+dgaQp/l4rXydXNiYhato8//hiLFi3C1q1bNYX31q1b8b///Q8ffvhhnR9v8eLFmDp1KqZMmQJ/f3+sXr0a5ubmWLduXY33EQQBzs7Omst/Z68ZgsLScvx5IRkAMKG74c+uI2oOXVvbIsTXAeVqEauPxEgdh6hR6Wzh7e3tDWdnZxw4cECzLTc3F6dOnULv3r0lTKab2FaMiIgAIDY2FiNHjqyyfdSoUYiLi6vTY5WWluLs2bNa663IZDIMHjz4nuut5Ofnw9PTEx4eHhg9ejQuX75cp+fVB7supqCgVAVvBwt087SVOg6RwZg10BcA8NPft5Cayz7eZDgkLbzz8/MRGRmJyMhIABULqkVGRiIhIQGCIOCVV17BRx99hJ07d+LixYuYPHkyXF1dMWbMGClj66TKtmJhURkQxeoaMxARUUvg4eGh9aN1pf3799d53ZOMjAyoVKo6rbfSrl07rFu3Dr/99hs2b94MtVqNPn364NatWzU+jz4ujPrT3Wnm44LdIQhceZmosfRqY48eXnYoVamx5mis1HGIGo2kJySdOXMGAwYM0FyfM2cOAODpp5/Ghg0b8Oabb6KgoADTpk1DdnY2QkJCsGfPHoNdpKUhunvZwUQuw+2cYsRlFKBNK0upIxERkQRee+01zJ49G5GRkejTpw8A4Pjx49iwYQOWLl3a5M/fu3dvrZlpffr0QYcOHfD111/XONV94cKFeP/995s8W2OJzyzA6bgsyATgka5uUschMjizBvpi8rrT2HIqHjP6+8De0lTqSEQNJmnh3b9//3uOzgqCgA8++AAffPBBM6bST2YmcnTzssWJmEyERWew8CYiaqGmT58OZ2dnfPHFF/jpp58AAB06dMDWrVsxevToOj2Wg4MD5HJ5nddb+TdjY2N06dIF0dHRNe4zb948zY/vQMWpZbrclWT72YrR+xC/VnBRmkmchsjwhPo5INBdifO3cvBtWBzefKi91JGIGkxnz/Gmuuv7r+nmRETUco0dOxZhYWHIzMxEZmYmwsLC6lx0A4CJiQmCg4O1pq6r1WocOHCg1uutqFQqXLx4ES4uNbfb0qeFUVVqET/fLbzZu5uoaQiCgFkD/QAA34XHI7uwVOJERA3HwtuAhN5dYC08JhPlKrXEaYiISAp///03Tp06VWX7qVOncObMmTo/3pw5c7B27Vps3LgRV69exfTp01FQUIApU6YAACZPnox58+Zp9v/ggw/w119/ITY2FhEREXjyyScRHx+P559/vv4vSoeciMnA7ZxiWCuMMMTf8FZrJ9IVgzs4or2zFfJLyrHhxE2p4xA1GAtvA9LRVQmlmTHySspx/laO1HGIiEgCM2fORGJiYpXtSUlJmDlzZp0f77HHHsPnn3+O+fPnIygoCJGRkdizZ49mwbWEhAQkJydr9r9z5w6mTp2KDh064OGHH0Zubi5OnDgBf3//+r8oHbLtTMVo9+ggNyiM5RKnITJcgiDgpbuj3uuP30RecZnEiYgaRhANfAns3NxcKJVK5OTk6PTUtcYyY8tZ7LqYgjlD2mL2ID+p4xARUS011vHK0tISFy5cQJs2bbS2x8XFoXPnzsjLy2to1Canq8funKIy9Ph4P0rK1dg5qy86u9tIHYnIoKnUIh788ghi0gvw1kPtMb2/j9SRiLTU5XjFEW8DE+LbCgDP8yYiaqlMTU2rLIYGAMnJyTAyknRNVb33+/nbKClXo52TFTq5KaWOQ2Tw5DIBMwdU9PX+5lgsikpVEiciqj8W3gamsp93RMIdFJSUS5yGiIia24MPPoh58+YhJ+efU46ys7Pxf//3fxgyZIiEyfTftspF1bqxdzdRcxkV6AoPOzNkFpTi+9MJUschqjcW3gamtb05WtuZo1wt4lRcptRxiIiomX3++edITEyEp6cnBgwYgAEDBsDb2xspKSn44osvpI6nt6JS83A+MRtGMgFjurB3N1FzMZLLMKN/xaj3mqMxKC7jqDfpJxbeBuiftmIsvImIWho3NzdcuHABixYtgr+/P4KDg7F06VJcvHhRp3tj67rK0e4B7R3hYGkqcRqiluXRru5wUSqQmluC7Xf/v0ikb3iylwEK9XPAD6cTEBadLnUUIiKSgIWFBaZNmyZ1DINRplJjR0QSAPbuJpKCiZEML/bzwYKdl7HqcAwe6+4BYznHD0m/8C/WAPVuYw9BAG6k5iMtt1jqOERE1Axu3LiB06dPa207cOAABgwYgB49euCTTz6RKJn+O3I9HRn5JXCwNMGA9o5SxyFqkR7r7gEHS1MkZRfh13NJUschqjMW3gbI1sJEs9pqWDRXNyciagneeust/PHHH5rrcXFxGDlyJExMTNC7d28sXLgQS5YskS6gHtt2tqIv+pggN46yEUlEYSzHtAe8AQArD8dApTbojshkgHj0MFD/nOfNwpuIqCU4c+YMhg0bprm+ZcsWtG3bFnv37sXSpUuxZMkSbNiwQbqAeiozvwQHrqYBAMZ34znyRFKa1NMTNubGiMsowB8Xbksdh6hOWHgbqNDKwjs6A6LIXwSJiAxdRkYG3N3/Of/40KFDGDlypOZ6//79cfPmTQmS6bdfI2+jXC2is7sS7ZytpI5D1KJZmBrhub4Vo94rDkVDzVFv0iMsvA1UV09bKIxlSMsrQVRavtRxiIioidnZ2SE5ORkAoFarcebMGfTq1Utze2lpKX+IrSNRFLHtTMU0cy6qRqQbnu7rBSuFEW6k5uOvK6lSxyGqNRbeBkphLEd3LzsAnG5ORNQS9O/fHx9++CESExOxZMkSqNVq9O/fX3P7lStX4OXlJVk+fXT5di6upeTBxEiGUYHs3U2kC6wVxnimjxcA4KtDUfxBkfQGC28DFur3z3RzIiIybB9//DGuXbsGT09PvPXWW1i0aBEsLCw0t2/atAkDBw6UMKH+qRztftDfCUpzY4nTEFGlKX29YW4ix6WkXBy+wfa5pB/q3cf7zJkz+Omnn5CQkIDS0lKt23bs2NHgYNRwlQusnYzNRJlKzZVYiYgMmJeXF65evYrLly+jVatWcHV11br9/fff1zoHnO6tpFyF385XLN7ERdWIdIudhQme7OWJNUdjsfxAFPq3bQVBEKSORXRP9arEfvzxR/Tp0wdXr17FL7/8grKyMly+fBkHDx6EUqls7IxUTx2crWFvYYLCUhXOJWRLHYeIiJqYkZERAgMDqxTdABAYGAh7e3sJUumn/VfSkF1YBhelAiF3f8gmIt3xfKg3TI1kiEjIRnhMptRxiO6rXoX3J598gi+//BK///47TExMsHTpUly7dg0TJkxA69atGzsj1ZNMJqCPL6ebExER1VVl7+5HurpBLuNIGpGucbRS4PEeFXXH8oPREqchur96Fd4xMTEYPnw4AMDExAQFBQUQBAGvvvoq1qxZ06gBqWE0bcWieP4LERFRbaTkFOPo3fNGxwdzmjmRrpr2QBsYywWEx2bizM0sqeMQ3VO9Cm9bW1vk5eUBANzc3HDp0iUAQHZ2NgoLCxsvHTVY37sLrJ2/lYPc4jKJ0xAREem+HeduQS0CPbzs4OVgcf87EJEkXG3MMO5uq7+vDnHUm3RbvQrvBx54APv27QMAjB8/Hi+//DKmTp2Kxx9/HIMGDWrUgNQwbjZmaONgAZVaxEme/0JERHRPoihi+5lbAIBx3bgYHZGum97PF3KZgMPX03HhVrbUcYhqVK/C+6uvvsLEiRMBAG+//TbmzJmD1NRUPProo/j2228bNSA1XAjbihERtSjHjh3Dk08+id69eyMpKQlARTuxsLAwiZPpvoiEO4jNKIC5iRzDO7lIHYeI7qO1vTlGB1YsKPkVz/UmHVavwtvOzk6zYqpMJsPcuXOxc+dOfPHFF7C1tW3UgNRwfbnAGhFRi/Hzzz9j6NChMDMzw7lz51BSUgIAyMnJwSeffCJxOt237e5o98OdXGBhWu+uq0TUjGYM8IUgAH9dScW1lFyp4xBVq9aFd25urtZ/3+tCuqW3jz1kAhCbXoDb2UVSxyEioib00UcfYfXq1Vi7di2MjY012/v27YuIiAgJk+m+wtJy/F7ZuzuY08yJ9IWvoyUevjtDZcWhGInTEFWv1oW3ra0t0tLSAAA2NjawtbWtcqncTrrFWmGMQA8bABz1JiIydNevX8cDDzxQZbtSqUR2dnbzB9Ijuy+moKBUBU97c/TwtpM6DhHVwawBvgCAPy7cRkx6vsRpiKqq9RyqgwcPws6u4iB06NChJgtETSPU1wHnErIRFpWBCd3YGoWIyFA5OzsjOjoaXl5eWtvDwsLQpk0baULpicre3eO6ukMQ2LubSJ90cLHG4A5O2H81FSsPxeCLCYFSRyLSUuvCu1+/fpr/9vb2hoeHR5WDkiiKSExMbLx01Gj6+jpg2cFoHI/OgFotQibjFwoiIkM0depUvPzyy1i3bh0EQcDt27cRHh6O119/He+++67U8XRWQmYhTsZmQRCARznNnEgvzRroi/1XU/FrZBJeGewHDztzqSMRadRrcTVvb2+kp6dX2Z6VlQVvb+8Gh6LG16W1LcxN5MgsKMW1lDyp4xARUROZO3cunnjiCQwaNAj5+fl44IEH8Pzzz+OFF17ASy+9JHU8nbU9omJRtRBfB7jamEmchojqI8jDBqF+DlCpRaw6wnO9SbfUq/AWRbHaKVj5+flQKBQNDkWNz8RIhp53z1c7zvO8iYgMliAIePvtt5GVlYVLly7h5MmTSE9Px4cffih1NJ2lVov4+ezd3t0c7SbSa7MH+QEAtp+5heQcLipMuqNOfTLmzJkDoOKg/u6778Lc/J/pGyqVCqdOnUJQUFCjBqTGE+LXCoeup+NYdAamPsDz/IiIDNGzzz6LpUuXwsrKCv7+/prtBQUFeOmll7Bu3ToJ0+mm8NhMJGUXwUphhKEdnaWOQ0QN0N3LDj297XAqLgtrjsZiwciOUkciAlDHEe9z587h3LlzEEURFy9e1Fw/d+4crl27hsDAQGzYsKGJolJDhfpV9PM+HZeJ4jKVxGmIiKgpbNy4EUVFVUd5ioqK8N1330mQSPdtO1OxPs2oQFcojOUSpyGihnppYMWo9/enEpCeVyJxGqIKdRrxrlzNfMqUKVi2bBmsrKyaJBQ1DT9HSzhamSItrwQRCXfQx8dB6khERNRIcnNzIYoiRFFEXl6e1qlfKpUKu3btgqOjo4QJdVNucRl2X0oBAIxn1w8ig9DX1x5BHjaITMzGN2GxmDesg9SRiOp+jndZWRk2bdqE+Pj4pshDTUgQBIT4VhTbYVE8z5uIyJDY2NjAzs4OgiCgbdu2sLW11VwcHBzw7LPPYubMmVLH1Dl/nE9GSbkafo6WCHRXSh2HiBqBIAh4aWBFX+/N4fG4U1AqcSKiOo54A4CxsTFat24NlarppyqrVCq899572Lx5M1JSUuDq6opnnnkG77zzDvtr1lNfXwfsOJfEBdaIiAzMoUOHIIoiBg4ciJ9//hl2dnaa20xMTODp6QlXV1cJE+qmyt7d47uxdzeRIRnY3hH+Lta4kpyL9SduYs6QtlJHohauzoU3ALz99tv4v//7P2zatEnrwN7YPv30U6xatQobN25Ex44dcebMGUyZMgVKpRKzZ89usuc1ZCF3z/O+kJSD7MJS2JibSJyIiIgaQ79+/QAAcXFxaN26dbVFZEJCAlq3bt3c0XRWdFoeziVkQy4TMKaLm9RxiKgRVY56T98SgQ3H4/B8qDesFcZSx6IWrF6F91dffYXo6Gi4urrC09MTFhYWWrdHREQ0SrgTJ05g9OjRGD58OADAy8sLP/zwA06fPt0oj98SOVkr4Odoiai0fITHZGJYJxepIxERUSNq06YNkpOTq5zPnZmZCW9v72aZsaYvtt1tITagXSs4WrEdKpGhGdrRGb6OlohOy8em8HjMHOArdSRqwepVeI8ZM6aRY1SvT58+WLNmDW7cuIG2bdvi/PnzCAsLw+LFi5vl+Q1ViJ8DotLycSw6g4U3EZGBEUWx2u35+flaC661dOUqNXZEJAEAxgVzUTUiQySTCZg1wBevbI3EN8diMaWvF8xN6lX+EDVYvf7yFixY0Ng5qjV37lzk5uaiffv2kMvlUKlU+PjjjzFp0qQa71NSUoKSkn/aBuTm5jZHVL0S4uuA9cdv8jxvIiIDMmfOHAAV0yvnz58Pc3NzzW0qlQqnTp1CUFCQROl0z9GodKTnlcDOwgQD23O1dyJDNaKzC77cfwPxmYX4/lQCng9tI3UkaqHqvKp5pezsbHzzzTeYN28esrKyAFRMMU9KSmq0cD/99BO2bNmC77//HhEREdi4cSM+//xzbNy4scb7LFy4EEqlUnPx8OCv2P/Vs409jGQC4jMLkZhVKHUcIiJqBOfOncO5c+cgiiIuXryouX7u3Dlcu3YNgYGB2LBhg9Qxdca2MxXTzMcEucHEqN5fh4hIxxnJZZjZv2KK+ddHY1FcxtNtSBqCWNOctHu4cOECBg8eDKVSiZs3b+L69eto06YN3nnnHSQkJOC7775rlHAeHh6YO3euVvuTjz76CJs3b8a1a9eqvU91I94eHh7IycmBtbV1o+QyBBNWh+P0zSx8MrYTnujJhXaIiKSWm5sLpVLZ4OPVlClTsHTpUr0+5jXWe1GTrIJS9PxkP8pUIna/HIoOLvr7XhHR/ZWWqzHg88NIyi7Ch6M74qneXlJHIgNRl+NVvX7inTNnDp555hlERUVpnS/28MMP4+jRo/V5yGoVFhZCJtOOKJfLoVara7yPqakprK2ttS5UVd+7/bw53ZyIyLCsX78e1tbWiI6Oxt69e1FUVASg5nO/W6LfIpNQphIR4GbNopuoBTAxkuHFfhVTzFcfiUVpec21BFFTqVfh/ffff+OFF16ost3NzQ0pKSkNDlVp5MiR+Pjjj/Hnn3/i5s2b+OWXX7B48WKMHTu20Z6jpapsK3Y8JgMqNb+MEREZiqysLAwaNAht27bFww8/jOTkZADAc889h9dee03idLqhcpr5eC6qRtRijO/mgVZWpkjKLsIv525JHYdaoHoV3qamptUuWnbjxg20atWqwaEqLV++HOPGjcOMGTPQoUMHvP7663jhhRfw4YcfNtpztFSB7kpYmRohu7AMV25zAToiIkPxyiuvwNjYGAkJCVoLrD322GPYs2ePhMl0w+XbObiSnAsTuQyjg1yljkNEzURhLMcLD1SMeq88HINyFUe9qXnVq/AeNWoUPvjgA5SVlQGoWEE1ISEBb731Fh599NFGC2dlZYUlS5YgPj4eRUVFiImJwUcffQQTE5NGe46WykguQy8fewDAseh0idMQEVFj+euvv/Dpp5/C3d1da7ufnx/i4+MlSqU7Kke7h3R0go05v08QtSRP9GwNOwsTxGcW4o8LyVLHoRamXoX3F198gfz8fDg6OqKoqAj9+vWDr68vrKys8PHHHzd2RmoiITzPm4jI4BQUFGiNdFfKysqCqampBIl0R2m5Gr9FVnRfGR/sfp+9icjQmJsY4bkQbwDAV4eioebpltSM6lV4K5VK7Nu3D7///juWLVuGWbNmYdeuXThy5AgsLCwaOyM1kcrzvP++eYetFYiIDERoaKhWdxFBEKBWq7Fo0SIMGDBAwmTSO3A1FXcKy+BsrUCoX+OdGkdE+mNyb09YK4wQnZaPvZcbb20qovsxasidQ0JCEBIS0lhZqJm1cbCAi1KB5Jxi/H0zi19CiIgMwKJFizBo0CCcOXMGpaWlePPNN3H58mVkZWXh+PHjUseT1LazFdPMH+nqBrlMkDgNEUnBSmGMZ/p6Y9mBKCw/GI2HApwhCPw8oKZX78L7wIEDOHDgANLS0qq091q3bl2Dg1HTEwQBIb4O2Hb2FsKiMlh4ExEZgICAANy4cQNfffUVrKyskJ+fj0ceeQQzZ86Ei4uL1PEkk5ZbjMPX0wAA4zjNnKhFm9LHC98ei8WV5FwcvJaGQR2cpI5ELUC9Cu/3338fH3zwAbp16wYXFxf+SqTHQvwqCu9jURmYJ3UYIiJqFEqlEm+//bbUMXTKjnNJUItAN09btGllKXUcIpKQrYUJnuztia+PxGL5wWgMbO/IeoaaXL0K79WrV2PDhg146qmnGjsPNbO+dxdYu5Kci8z8EthbtuyFd4iI9N3Ro0fvefsDDzzQTEl0hyiK2HYmEQAwvhtHu4kImBraBhtP3ERkYjaOR2dq1j4iair1KrxLS0vRp0+fxs5CEnCwNEUHF2tcTc7F8ZhMjApkT1MiIn3Wv3//Ktv+PZKjUrWcxTRVahGn47JwKi4TMekFUBjJMLwzj3NEVPEd+PEerbH++E0sPxjFwpuaXL1WNX/++efx/fffN3YWkkiIb0U/7+NRbCtGRKTv7ty5o3VJS0vDnj170L17d/z1119Sx2s2ey4lI+TTg3h87Uks2R8FABAEICwqXeJkRKQrpj3QBiZyGU7FZeF0XJbUccjA1WvEu7i4GGvWrMH+/fvRuXNnGBsba92+ePHiRglHzSPErxXWHotDWHQGRFHkOS5ERHpMqVRW2TZkyBCYmJhgzpw5OHv2rASpmteeS8mYvjkC/+3QW1SmxvTNEVj1ZFc8FNByF5ojogouSjOM6+aO708lYPnBKGx6rqfUkciA1avwvnDhAoKCggAAly5dasw8JIEeXnYwkcuQlF2Em5mF8HZgL3YiIkPj5OSE69evSx2jyanUIt7//UqVovvf3v/9Cob4O7OlGBFhej8fbP07EceiMhCZmI0gDxupI5GBqlfhfejQocbOQRIyM5Ej2NMW4bGZCItKZ+FNRKTHLly4oHVdFEUkJyfjf//7n+ZHc0N2Oi4LyTnFNd4uAkjOKcbpuCz09rFvvmBEpJM87Mwxtosbtp+9ha8ORuObp7tJHYkMVJ0K70ceeeS++wiCgJ9//rnegUgaIX4OFYV3dAae6u0ldRwiIqqnoKAgCIIAUdQe8+3VqxfWrVsnUarmk5ZXc9Fdn/2IyPDN6O+DnyNuYf/VVFy5nQt/V2upI5EBqlPhXd15Y2QYQnwd8Nne6zgRk4lylRpG8nqtu0dERBKLi4vTui6TydCqVSsoFAqJEjUvR6vavc7a7kdEhq9NK0uM6OyK38/fxopD0VgxqavUkcgA1anwXr9+fVPlIIkFuCmhNDNGTlEZLibloEtrW6kjERFRPXh6ekodQVI9vO3golQgJae42vO8BQDOSgV6eNs1dzQi0mEzB/jg9/O3setSMqLT8uDraCV1JDIwHNYkAIBcJqDP3XPdwthWjIhIrx05cgQjR46Er68vfH19MWrUKBw7dkzqWM1CLhOwYKQ/gIoi+98qry8Y6c+F1YhIS3tnazzo7wRRBFYeipE6DhkgFt6kEeLnAAA4Fs3Cm4hIX23evBmDBw+Gubk5Zs+ejdmzZ8PMzAyDBg3C999/L3W8ZvFQgAtWPdkVzkrt6eTOSgVbiRFRjV4a6AcA+O38bcRnFkichgyNIP539RUDk5ubC6VSiZycHFhbc6GEe4nPLEC/zw7DWC4gcv6DsDCt16L3RERUD411vOrQoQOmTZuGV199VWv74sWLsXbtWly9erWhUZtcY70XKrWI03FZSMsrhqNVxfRyjnQT0b08s/40Dl9Px+M9PLDwkc5SxyEdV5fjFUe8ScPT3gIedmYoU1V8USEiIv0TGxuLkSNHVtk+atSoKguvGTq5TEBvH3uMDnJDbx97Ft1EdF8vDfQFAGw/ewtJ2UUSpyFDwsKbtIT4Vkw3D+N0cyIiveTh4YEDBw5U2b5//354eHhIkIiISH8Ee9qhdxt7lKlErDnCc72p8XAuMWkJ8W2FH04ncoE1IiI99dprr2H27NmIjIxEnz59AADHjx/Hhg0bsHTpUonTERHpvpcG+iI8NhM//J2ImQN92X6QGgULb9LSx8ceggBcT83TnBNHRET6Y/r06XB2dsYXX3yBn376CUDFed9bt27F6NGjJU5HRKT7evvYo2trG0QkZOObY3H4v4c7SB2JDACnmpMWWwsTBLgqAQDHOd2ciEgvjR07FmFhYcjMzERmZibCwsJYdBMR1ZIgCHhpUMUK55tPxiOroFTiRGQIWHhTFX0rz/OOypQ4CRER1VdpaSlu3bqFhIQErUt9rFixAl5eXlAoFOjZsydOnz5dq/v9+OOPEAQBY8aMqdfzEhFJpX/bVghws0ZhqQrrwlrWwpTUNFh4UxWhfpULrKXDwLvNEREZnKioKISGhsLMzAyenp7w9vaGt7c3vLy84O3tXefH27p1K+bMmYMFCxYgIiICgYGBGDp0KNLS0u55v5s3b+L1119HaGhofV8KEZFkBEHArAEVo94bT9xETlGZxIlI37HwpiqCPW1haiRDam4JotPypY5DRER18Mwzz0Amk+GPP/7A2bNnERERgYiICJw7dw4RERF1frzFixdj6tSpmDJlCvz9/bF69WqYm5tj3bp1Nd5HpVJh0qRJeP/999GmTZuGvBwiIsk86O+Etk6WyCspx3cnbkodh/QcC2+qQmEsRw9vOwBsK0ZEpG8iIyPx9ddfY9iwYQgKCkJgYKDWpS5KS0tx9uxZDB48WLNNJpNh8ODBCA8Pr/F+H3zwARwdHfHcc8/V+3UQEUlNJhMwc0BFX+9vj8ehoKRc4kSkz1h4U7U0/bzZVoyISK/4+/sjI6NxPrszMjKgUqng5OSktd3JyQkpKSnV3icsLAzffvst1q5dW+vnKSkpQW5urtaFiEgXjOjsCm8HC2QXlmHLqXip45AeY+FN1apcYO1kbCbKVGqJ0xAR0b38u2D99NNP8eabb+Lw4cPIzMxs1oI2Ly8PTz31FNauXQsHB4da32/hwoVQKpWai4eHRxOmJCKqPblMwIz+PgCANUfjUFymkjgR6Sv28aZq+btYw87CBFkFpYhMzEZ3LzupIxERUQ1sbGwgCILmuiiKGDRokNY+oihCEASoVLX/0ujg4AC5XI7U1FSt7ampqXB2dq6yf0xMDG7evImRI0dqtqnVFT/eGhkZ4fr16/Dx8alyv3nz5mHOnDma67m5uSy+iUhnjOnihiX7o5CUXYQfTyfgmb51X6iSiIU3VUsmE9DHxx5/XEhGWFQGC28iIh126NChJnlcExMTBAcH48CBA5qWYGq1GgcOHMCsWbOq7N++fXtcvHhRa9s777yDvLw8LF26tMZi2tTUFKampo2en4ioMRjLZZje3wfv/HoJXx+NxeM9W8PUSC51LNIzLLypRqF+DhWFd3QGXh3SVuo4RERUg379+jXZY8+ZMwdPP/00unXrhh49emDJkiUoKCjAlClTAACTJ0+Gm5sbFi5cCIVCgYCAAK3729jYAECV7URE+mRcsDuWH4xCck4xdkQk4fEeraWORHqGhTfVqPI878jEbOQVl8FKYSxxIiIiqs6FCxdqvW/nzp3r9NiPPfYY0tPTMX/+fKSkpCAoKAh79uzRLLiWkJAAmYxLxhCRYVMYy/HCAz744I8rWHk4GuOD3WEk52cf1Z4giqIodYimlJubC6VSiZycHFhbW0sdR+8M+Pww4jIKsHZyNwzxd7r/HYiIqF4acrySyWQQBAH3O6TX9RxvqfDYTUS6qKhUhZBPDyKzoBSLJwTika7uUkciidXleMURb7qnEF8HxGUUICwqnYU3EZGOiouLkzoCEZHBMzOR4/nQNvh0zzV8dSgao4PcIJcJ978jEVh403309XXAppPxCItmP28iIl3l6ekpdQQiohbhyV6tsfpIDGLTC7D7UjJGdHaVOhLpCZ0vvJOSkvDWW29h9+7dKCwshK+vL9avX49u3bpJHa1F6O1jD5kAxKQXIDmnCC5KM6kjERHRf+zcuRPDhg2DsbExdu7cec99R40a1UypiIgMj5XCGFP6emHJ/ih8dTAaDwe4QMZRb6oFnS6879y5g759+2LAgAHYvXs3WrVqhaioKNja2kodrcVQmhmjs7sNIhOzERaVgfHd2FeViEjXjBkzBikpKXB0dNS0/aqOvpzjTUSky6b08cY3x+JwLSUPB66l8XRMqhWdXorv008/hYeHB9avX48ePXrA29sbDz74IHx8fKSO1qKE+lWsbs7p5kREukmtVsPR0VHz3zVdWHQTETWc0twYk3tXnOLz1cGo+y5sSQToeOG9c+dOdOvWDePHj4ejoyO6dOmCtWvX3vM+JSUlyM3N1bpQw1S2FTsencEPFiIiIiJq8Z4L8YbCWIbzt3JwNIqDU3R/Ol14x8bGYtWqVfDz88PevXsxffp0zJ49Gxs3bqzxPgsXLoRSqdRcPDw4Nbqhura2hZmxHBn5pbiWkid1HCIiqkZ4eDj++OMPrW3fffcdvL294ejoiGnTpqGkpESidEREhsXe0hSTelaMei8/wFFvuj+dLrzVajW6du2KTz75BF26dMG0adMwdepUrF69usb7zJs3Dzk5OZpLYmJiMyY2TCZGMvRsYwegYtSbiIh0zwcffIDLly9rrl+8eBHPPfccBg8ejLlz5+L333/HwoULJUxIRGRYpj3QBiZyGc7E38GpuCyp45CO0+nC28XFBf7+/lrbOnTogISEhBrvY2pqCmtra60LNVzI3enmxziVhohIJ0VGRmLQoEGa6z/++CN69uyJtWvXYs6cOVi2bBl++uknCRMSERkWJ2sFJnR3BwB8dTBa4jSk63S68O7bty+uX7+ute3GjRvsVyqBUL9WAIBTcZkoKefiPEREuubOnTtwcvpnZd0jR45g2LBhmuvdu3fnLDAiokb2Yj8fGMkEhEVnICLhjtRxSIfpdOH96quv4uTJk/jkk08QHR2N77//HmvWrMHMmTOljtbitHWyRCsrUxSXqRERny11HCIi+g8nJyfExcUBAEpLSxEREYFevXppbs/Ly4OxsbFU8YiIDJK7rTke6eoGgKPedG86XXh3794dv/zyC3744QcEBATgww8/xJIlSzBp0iSpo7U4giBoppuHRadLnIaIiP7r4Ycfxty5c3Hs2DHMmzcP5ubmCA0N1dx+4cIFtuMkImoC0/v7QiYAB6+l4VJSjtRxSEfpdOENACNGjMDFixdRXFyMq1evYurUqVJHarH6agrvTImTEBHRf3344YcwMjJCv379sHbtWqxduxYmJiaa29etW4cHH3xQwoRERIbJ28ECIwNdAQArDnHUm6pnJHUA0h+VI94Xb2Ujp7AMSnNOWSQi0hUODg44evQocnJyYGlpCblcrnX7tm3bYGlpKVE6IiLDNnOAL36LvI3dl1JwIzUPbZ2spI5EOkbnR7xJdzgrFfB1tIRaBMJjubo5EZEuUiqVVYpuALCzs9MaASciosbT1skKwwKcAQArOepN1WDhTXXCtmJERERERFXNHOALANh5/jbiMgokTkO6hoU31Ull4X08moU3EREREVGlADclBrZ3hFoEVh3mqDdpY+FNddLLxx5GMgE3MwuRmFUodRwiIiIiIp1ROeq9IyIJt+7wuzL9g4U31YmlqRG6tLYBwFFvIiIiIqJ/C/a0RV9fe5SrRXx9JFbqOKRDWHhTnVW2FTvGwpuIiIiISMusAX4AgK1nEpGaWyxxGtIVLLypzkL9KgrvE9EZUKtFidMQEREREemOXm3s0N3LFqXlaqw9ylFvqsDCm+qss7sNLE2NcKewDFeSc6WOQ0RERESkMwRBwKyBFaPeW04lIDO/ROJEpAtYeFOdGctl6NXGHgDbihERERER/dcDfg7o7K5EUZkK34bFSR2HdAALb6qXEN+KwpsLrBERERERaRMEAbPurnD+XXg8cgrLJE5EUmPhTfUS4tcKAHD6ZhaKy1QSpyEiIiIi0i2DOzihvbMV8kvKseHETanjkMRYeFO9+LSygLO1AqXlapy5eUfqOEREREREOkUmEzBrYMWo97rjccgvKZc4EUmJhTfViyAICPGrbCuWLnEaIiIiIiLdMyzABW1aWSCnqAybwuOljkMSYuFN9VbZVozneRMRERERVSWXCZjZv2LU+5tjsSgq5SmaLRULb6q3Pj4Vhffl27nIKiiVOA0RERERke4ZFeQKDzszZBaU4ofTCVLHIYmw8KZ6a2VlivbOVhBFjnoTEREREVXHWC7D9H4Vo95fH41BSTlHvVsiFt7UICG+nG5ORERERHQvjwa7wUWpQGpuCbafvSV1HJIAC29qEM0Ca1EZEEVR4jRERERERLrH1EiOFx5oAwBYdTgGZSq1xImoubHwpgbp4W0HE7kMSdlFiM8slDoOEREREZFOmtijNRwsTXDrThF+PZckdRxqZiy8qUHMTYzQ1dMGAHCM082JiIiIiKqlMJZjamjFqPfKwzFQqTlbtCVh4U0NpjnPO4qFNxERERFRTSb18oSNuTHiMgrw58VkqeNQM2LhTQ0W4tcKAHAiJoO/3BERERER1cDS1AjP9fUGAKw4GA01vzu3GCy8qcE6uSlhrTBCbnE5LiblSB2HiIiIiEhnTe7jBStTI1xPzcNfV1KljkPNhIU3NZhcJqCPT8V087CodInTEBERERHpLqWZMZ7u4wUA+OpQFDsDtRAsvKlR/LutGBERERER1ezZEG+YGctxKSkXh29w4KolYOFNjaJygbWIhDsoLC2XOA0RERERke6yszDBk71aAwCWH+Cod0vAwpsahae9OdxtzVCmEnEqLkvqOEREREREOm1qaBuYGMkQkZCN8NhMqeNQE2PhTY1CEAS2FSMiIiIiqiVHawUe7+4BAFh+IFriNNTUWHhTo6k8zzssmoU3EREREdH9TOvnA2O5gPDYTJy5yVmjhoyFNzWaPj4OEATgWkoe0vKKpY5DRERERKTT3GzM8GhXdwDAV4c46m3IWHhTo7GzMEFHV2sAwIlonqdCRERERHQ/0/v7QCYAh6+n4+KtHKnjUBNh4U2NKsS3FQBONyciIiIiqg1PewuMDnIDUNHXmwwTC29qVJULrIVFZbAtAhERERFRLcwc4ANBAPZeTsX1lDyp41AT0KvC+3//+x8EQcArr7widRSqQTcvW5gayZCSW4yY9AKp4xARERER6TxfRys8HOACgOd6Gyq9Kbz//vtvfP311+jcubPUUegeFMZydPeyAwCERaVLnIaIiIiISD/MHOALAPjjwm3EpOdLnIYam14U3vn5+Zg0aRLWrl0LW1tbqePQfbCtGBERERFR3fi7WmNwB0eIIrDqcIzUcaiR6UXhPXPmTAwfPhyDBw+WOgrVQuV53idjs1CmUkuchoiIiIhIP8wa6AcA+OVcEhKzCiVOQ41J5wvvH3/8EREREVi4cGGt9i8pKUFubq7WhZqXv4s1bM2NkV9SjvOJ2VLHISIiIiLSC0EeNgj1c4BKLWL1EY56GxKdLrwTExPx8ssvY8uWLVAoFLW6z8KFC6FUKjUXDw+PJk5J/yWTCejjy+nmRERERER19dLdUe9tZ24hJadY4jTUWHS68D579izS0tLQtWtXGBkZwcjICEeOHMGyZctgZGQElUpV5T7z5s1DTk6O5pKYmChBcgr9V1sxIiIiIiKqnR7edujhbYdSlRpfH+Wot6HQ6cJ70KBBuHjxIiIjIzWXbt26YdKkSYiMjIRcLq9yH1NTU1hbW2tdqPlVLrB2LjEbecVlEqchIiIiItIfLw2sWOH8h9MJSM8rkTgNNQadLrytrKwQEBCgdbGwsIC9vT0CAgKkjkf34G5rDi97c6jUIk7FZkkdh4iIiIhIb4T4OiDQwwbFZWp8GxYndRxqBDpdeJN+Y1sxIiIiIqK6EwQBL93t670p/CayC0slTkQNpXeF9+HDh7FkyRKpY1AthHCBNSIiIiKiehnUwREdXKxRUKrCuuM3pY5DDaR3hTfpj95tHCATgOi0fCTnFEkdh4iIiIhIbwiCoDnXe8PxOORy3SS9xsKbmozS3BgBbkoAwFcHoxEekwmVWpQ4FRERERGRfnioozN8HS2RW1yOTeHxUsehBmDhTU1mz6VkxKbnAwC2nErA42tPIuTTg9hzKVniZEREREREuk8mEzBzgA8A4NuwOBSWlkuciOqLhTc1iT2XkjF9cwTyS7R7rafkFGP65ggW30REREREtTCysys87c2RVVCK708lSB2H6omFNzU6lVrE+79fQXWTyiu3vf/7FU47JyIiIiK6DyO5DDP6V4x6rzkai+Iy1X3uQbqIhTc1utNxWUjOKa7xdhFAck4xTsexvzcRkT5YsWIFvLy8oFAo0LNnT5w+fbrGfXfs2IFu3brBxsYGFhYWCAoKwqZNm5oxLRGR4RnbxR2uSgXS8kqw7Uyi1HGoHlh4U6NLy6u56K7PfkREJJ2tW7dizpw5WLBgASIiIhAYGIihQ4ciLS2t2v3t7Ozw9ttvIzw8HBcuXMCUKVMwZcoU7N27t5mTExEZDhMjGV68O+q9+kgsSsvVEieiumLhTY3O0UpRq/1szY2bOAkRETXU4sWLMXXqVEyZMgX+/v5YvXo1zM3NsW7dumr379+/P8aOHYsOHTrAx8cHL7/8Mjp37oywsLBmTk5EZFgmdPNAKytTJGUXYUfELYTHZOK3yCR2DtITRlIHIMPTw9sOLkoFUnKKqz3Pu9Jne6/D28ESHnbmzZaNiIhqr7S0FGfPnsW8efM022QyGQYPHozw8PD73l8URRw8eBDXr1/Hp59+2pRRiYgMnsJYjmmhbfDxrqt4+9dLWsW2i1KBBSP98VCAi4QJ6V444k2NTi4TsGCkPwBA+M9tldfNTeS4mJSLkV+F4dD16qcrEhGRtDIyMqBSqeDk5KS13cnJCSkpKTXeLycnB5aWljAxMcHw4cOxfPlyDBkypMb9S0pKkJubq3UhIqKqHK1NAaDKCDc7B+k+Ft7UJB4KcMGqJ7vCWak97dxZqcDqJ7vir1cfQGd3JbILy/Dshr+x+K/rnCJDRGQgrKysEBkZib///hsff/wx5syZg8OHD9e4/8KFC6FUKjUXDw+P5gtLRKQnVGoR/9t9rdrb2DlI93GqOTWZhwJcMMTfGafjspCWVwxHKwV6eNtBLqsY9972Ym98+McVbD6ZgGUHo3EuMRtLJ3aBnYWJxMmJiAgAHBwcIJfLkZqaqrU9NTUVzs7ONd5PJpPB19cXABAUFISrV69i4cKF6N+/f7X7z5s3D3PmzNFcz83NZfFNRPQfdekc1NvHvvmCUa1wxJualFwmoLePPUYHuaG3j72m6AYAUyM5PhrTCYsnBEJhLMOxqAyMWHYM5xLuSJiYiIgqmZiYIDg4GAcOHNBsU6vVOHDgAHr37l3rx1Gr1SgpKanxdlNTU1hbW2tdiIhIGzsH6TcW3iS5R7q649eZfeHtYIHbOcWY8HU4vgu/CVHkNBkiIqnNmTMHa9euxcaNG3H16lVMnz4dBQUFmDJlCgBg8uTJWouvLVy4EPv27UNsbCyuXr2KL774Aps2bcKTTz4p1UsgIjIIte0cVNv9qHlxqjnphPbO1tg5qy/e2HYBey6nYP5vl3Hm5h0sfKQTLEz5Z0pEJJXHHnsM6enpmD9/PlJSUhAUFIQ9e/ZoFlxLSEiATPbP7/gFBQWYMWMGbt26BTMzM7Rv3x6bN2/GY489JtVLICIyCLXpHOSirDi1k3SPIBr4sGJubi6USiVycnI4dU0PiKKIb8PisHD3NajUIvwcLbHqyWD4OlpKHY2IqEnxePUPvhdERNXbcykZ0zdHAEC1xffA9o74ZnI3yGT/7S1ETaEuxytONSedIggCng9tgx+m9oKjlSmi0vIx+qsw/HHhttTRiIiIiIgkVVPnIGtFxQzRg9fSMPvHcygpV0kRj+6BI96ks9LyijH7h3M4GZsFAJjS1wvzhnWAiRF/LyIiw8Pj1T/4XhAR3ZtKLVbpHPT7+dt4Y/t5lKlE9PGxx9dPBcNKYSx1VIPGEW8yCI5WCmx+ride7OcDAFh//CYmrglHck6RxMmIiIiIiKRTXeegMV3csP6ZHrAwkeNETCYmfH0Sablc4VxXsPAmnWYkl2HusPZYO7kbrBRGiEjIxohlYTgenSF1NCIiIiIinRLi54CtL/SGg6UpribnYuzKE4hJz5c6FoGFN+mJIf5O+OOlEHRwsUZmQSme+vYUVhyKhlpt0GdKEBERERHVSYCbEjum94G3gwWSsoswbtUJRCTckTpWi8fCm/SGp70FfpnRBxO6uUMtAp/tvY6p351BTmGZ1NGIiIiIiHRGa3tzbH+xNwLdlbhTWIYn1p7EgaupUsdq0Vh4k15RGMuxaFwgPn20E0yMZDhwLQ0jvjqGS0k5UkcjIiIiItIZ9pam+GFaL/Rv1wrFZWpM23QWW/9OkDpWi8XCm/TSY91bY8f0PvCwM0NiVhEeWXUCP55OgIEv0k9EREREVGvmJkZYO7kbxgW7Q6UW8dbPF7H8QBS/M0uAhTfprQA3Jf6YFYrBHRxRWq7G3B0X8cb2CygqZd9CIiIiIiIAMJbL8Nm4zpg5oKJT0Bf7buCdXy9BxbWSmhULb9JrSnNjrHmqG94Y2g4yAdh+9hYeWXUCNzMKpI5GRERERKQTBEHAG0Pb44PRHSEIwJZTCZix5SyKyzhg1VxYeJPek8kEzBzgi83P9YS9hQmuJudi5PIw7L2cInU0IiIiIiKdMbm3F1Y80RUmRjLsvZyKJ785hezCUqljtQgsvMlg9PF1wJ+zQxHsaYu8knK8sOksFu6+inKVWupoREREREQ64eFOLtj0bA9YKYxwJv4Oxq8Ox+3sIqljGTwW3mRQnJUK/DitF54L8QYAfH0kFpO+OYW0vGKJkxERERER6Yaebeyx7cXecLZWICotH4+sPIHrKXlSxzJoLLzJ4BjLZXh3hD9WPNEVFiZynIrLwvBlYTgdlyV1NCIiIiIindDe2Ro7ZvSBr6MlUnKLMX71CZyKzZQ6lsFi4U0Ga3hnF+x8KQRtnSyRnleCx9eexNqjsWyfQEREREQEwNXGDNtf7I1unrbILS7HU+tOY/fFZKljGSQW3mTQfFpZ4teZfTEmyBUqtYiPd13F9M0RyC0ukzoaEREREZHkbP6/vXuPi6rO/wf+OjMwM9yRqxcUTCVFvIMKmLnlpdbc3Epds7xlpYFmWqv0+xZmJaBta5lpV81cxc3E1ErbRM0LKmJ4h5QUUEEUdLgPMHN+fyADI4PAyHBm5PV8POYBc+acM+/5ZLx4cz7nHHsF1s8YhJEB3iiv1OGVDcfxbeIlqcu677DxpvuevcIG/57QF++ODYStXMDOMzl48pODSM0pkLo0IiIiIiLJqWzlWPXcADw7qBNEEXjrhzNYtiuVM0WbERtvahUEQcDzg33x3cxQdHC1w8UbxRi78iC2HL8sdWlERERERJKTywS8PzYQ80b4AwBW7knHPzefRAXvENQs2HhTq9K3oyu2zx6Ch7p5oKxCh3n/PYE340+hrEIrdWlERERERJISBAFzHu2GmKd6QSYA3yVfxkvrjqGkvFLq0qyexTfe0dHRCA4OhpOTE7y8vDB27FikpaVJXRZZMTcHBdZOG4hXH+0GQQA2HMnEuNWJyMovkbo0IiIiIiLJ/WNgJ3z+fBBUtjLsSbuOiV8cQV6RRuqyrJrFN9779u1DeHg4Dh8+jP/973+oqKjAyJEjUVxcLHVpZMXkMgGvjfDHmqnBcLW3xakrajyx4gD2pOZKXRoRERERkeSGB3hjw4uD4WpvixNZt/AMD1TdE0G0sjPmr1+/Di8vL+zbtw9Dhw5tcP2CggK4uLhArVbD2dm5BSoka3P5ZgnC/3McJy6rAQBzHumKV4f7Qy4TJK6MiFoT5lUNjgURkeW4kFuEKV8fxZVbpfBwVGLttGAEdnCRuiyL0JS8svgj3ndSq6uaIzc3N6OvazQaFBQUGDyI7sanjT3+OzMEzw/2BQB8nHABU9cc5XQaIiIiImr1uno5Yssroeje1gk3ijT4x+eHceD8DanLsjpW1XjrdDrMnTsXYWFhCAwMNLpOdHQ0XFxc9I+OHTu2cJVkjZQ2crw7NhDLJ/SFna0c+8/fwBMrDuB45k2pSyMiIiIikpS3swr/nRmCkAfcUaSpxLS1R/FDyhWpy7IqVtV4h4eH4/Tp04iLi6t3ncjISKjVav0jKyurBSskaze2XwdsDQ/DAx4OyFaXYcJnifjm0CXew5CIiIiIWjVnlS3WTg/G6N7tUKEV8WpcCr7c/6fUZVkNq2m8IyIisGPHDuzZswc+Pj71rqdUKuHs7GzwIGqKB9s64YeIMPy1V1tUaEVEbTuDOXEpKNbwNgpERERE1HopbeRY8Y9+mBbmBwB478dzeG/HWeh0PEjVEItvvEVRREREBOLj45GQkIDOnTtLXRK1Ak4qW6x8tj/eeiIANjIB209cxZMrD+JCbqHUpRERERERSUYmE/D2EwGIfLw7AODLAxcxd1MKyit1Eldm2Sy+8Q4PD8f69euxYcMGODk5IScnBzk5OSgtLZW6NLrPCYKAF4Z0RtxLg+HtrMSF3CL87ZOD2H7iqtSlERERERFJRhAEvPxwF/x7Qh/YyARsO3EV09cmobCsQurSLJbFN96rVq2CWq3GsGHD0K5dO/1j06ZNUpdGrUSQnxt2zH4IIQ+4o6Rci9kbf8eibWf4Vz0iIiIiatX+3s8HX08Nhr1CjgMXbmDCZ4eRW1gmdVkWyeIbb1EUjT6mTp0qdWnUing6KfHtCwPxyrAuAIC1hy7hH58nIlvNmRdERERE1HoN9fdE3EuD4eGowNnsAjy96hD+vF4kdVkWx+IbbyJLYSOX4Z+PdccXk4PgpLLB8cxbGP3xAd7HkIiIiIhatd4+rvh+Vih83e2RlV+KZ1YnIiXrltRlWRQ23kRNNCLAGztmD0FAO2fkF5fj+a+P4JOE87yaIxERERG1Wr7uDvh+Vih6+7ggv7gcEz8/jD2puVKXZTHYeBOZwNfdAVteCcWEoI4QReCDX/7AjHXHoC7hBSWIiIiIqHXycFRi44uDMdTfE6UVWsxYdwzfHcuSuiyLwMabyEQqWzlin+mNpU/3htJGhoTUXIxesR+nLqulLo2IiIiISBIOSht8NSUIT/XrAK1OxBubT2LlngsQxdY9O5SNN9E9Gh/cEd/PCkUnN3tcvlmKp1cfwsajma3+hwsRERERtU62chn+Nb4PZj5cdWHiZbvS8PYPZ6BtxadmsvEmagaBHVywffYQDO/hjfJKHSK3nMLr351EablW6tKIiIiIiFqcIAhY+Hh3RI0JgCAA3x7OQPh/jqOsonX+fszGm6iZuNjZ4vPnB2DBY90hE4Dvj1/G3z89iEs3iqUujYiIiIhIEtPCOmPFxH5QyGXYeSYHk78+CnVp67suEhtvomYkkwmYNawL1s8YBA9HBVJzCjFmxQHsOpMjdWlERERERJJ4ond7fDN9IJyUNjh6MR/jVyciW10qdVktio03kRmEdvHAj3MeQpBvGxRqKvHyt8mI/ukcKrU6qUsjIiIiImpxIV3c8d+ZIfByUiLtWiGe+vQQzl8rlLqsFsPGm8hMvJ1V2PjSYMwY0hkA8Nlvf+LZL48gt6BM4sqIiIiIiFpej3bO2PJKKLp4OiBbXYZnVici6VK+1GW1CDbeRGZkK5fh/54IwKeT+sPx9tSa0SsO4MifeVKXRkRERETU4nza2GPzzFD07+QKdWkFnvvySKs4LZONN1EL+GuvdvghIgz+3o64XqjBs18ewee/pfOWY0RERETU6rRxUOA/MwZjeA8vaCp1mLU+GesPZ0hdllmx8SZqIV08HbE1PAx/79cBWp2IJT+lYtb64ygoa31XdSQiIiKi1s1OIcfq5wZg4sCO0InA/209jQ9/SbtvD0yx8SZqQfYKG3w4vg/eHRuov6XC31YcwLnsAqlLIyIiIiJqUTZyGZb8vRdefbQbAODjhAtY+P2p+/KCxGy8iVqYIAh4frAvvpsZgg6udriUV4K/f3oQ3ydflro0IiIiIqIWJQgCXhvhjyV/7wWZAGw6loWXv01GablW6tKaFRtvIon06eiKHbOH4GF/T5RV6DD/uxOI3HIKZRVaaHUiEtPz8EPKFSSm50Gruz+n3BARERERAcCzgzph9XMDoLSRYXdqLp798jDyi8ulLqvZCOL9Oon+toKCAri4uECtVsPZ2Vnqcojq0OlErEi4gOW7/4AoAp3c7FFaocX1Qo1+nXYuKkSNCcBjge0krJSIzIl5VYNjQUTUeiVn5GP62mNQl1bgAU8HfDNtIDq62UtdllFNySse8SaSmEwm4NXh3bB22kA4KOTIzC8xaLoBIEddhlnrj2Pn6WyJqiQiIiIiMr8Bvm74flYI2ruo8Of1Yjy16hDOXrX+6yGx8SayEEO6esBeaWP0teppKe9sP8tp50RERER0X+vq5YQtr4She1snXC/UYMJniTh04YbUZd0TNt5EFuLoxfw6R7prEwFkq8vw9KqDWLTtDNYcvIg9qblIv16E8sr778qPRERERNR6tXVRYdPLIRjU2Q2FmkpMWXMU209clboskxk/vEZELS63sKxR66VkqZGSpTZYJhOAdi528POwRyc3B/i528PX3R6+7g7wdbeHvYL/qxMRERGRdXGxs8U30wdi3n9T8NOpHMze+DuuF2owfUhnqUtrMv42TmQhvJxUjVpvxpDOkMsFZNwoQUZ+CTLyilFSrsWVW6W4cqsUB5FXZxtPJyV83Woa8eqm3M/dHq72iub+KEREREREzUJlK8eKif3h6XgG3yRmYPGOs7hWUIYFj3WHTCZIXV6jsfEmshADO7uhnYsKOeoyGDuLW0DVlJvIv/aAvNYPGVEUcaOoHBl5xcjIq2rEM/JLcCmvBJl5xbhZUoHrhRpcL9TgWMbNOvt1VtnAz8MBndzs4efugE7uVV993e3h5aSEIFjPDzQiIiIiuv/IZQIW/a0nvF1UWLozDZ/99idyCzWIfbo3FDbWcfY0G28iCyGXCYgaE4BZ649DAAya7+rWN2pMgEHTDQCCIMDTSQlPJyWC/Nzq7FddWoHMvBJcyitGZn4JLt0o1h8pv1agQUFZJU5eVuPkZXWdbVW2Mvi6VTfj9uh0+yi5r5sD2ruqYCO3jh90RERERGTdBEHAK8O6wstJhQXfn0T871dwo0iDVc8NgGM9Fyi2JLyPN5GF2Xk6G+9sP4tsdc053+a6j3dpuRaZt5vwjLwSZORXHzUvweWbJbjbBdRtZAJ82tjVmr7uAF83e/h52MOnjT1UtvJmrZXofse8qsGxICKiu9mTlotX1h9HaYUWgR2csWbqQHg6KVu8jqbkFRtvIguk1Yk4ejEfuYVl8HJSYWBntzpHus2tQqvDlZuluJRX04xXT2PPzC+565XUBQFo56zST1vXf3WrOr/cSWVrlpotYdyITMW8qsGxICKihpzIuoXpa5OQV1yOTm72WDd9IPw8HFq0BjbetTC8iZqfTicip6Csavp63u3zyfOLcelGVVNepKm86/buDgqDq67XPmLu5qAw6bzylpwpQGQOzKsaHAsiImqMizeKMfnrI8jKL4W7gwJfTw1Gn46uLfb+bLxrYXgTtSxRFJFXXF5zhLzWkfKMvBLkF5ffdXsnpc0dR8pv3yLNwx7eTiqjV6/ceTobs9Yfr3NRuuo1Vz3Xn803WTzmVQ2OBRERNdb1Qg2mrT2K01cKYK+Q49NJ/THsQa8WeW823rUwvIksS0FZ1cXeMqov+Fbrwm+1j1Ybo7CR3b76ek0z7uNqhwXfn8L1Io3RbaqvBn9gwSOcdl4PTtG3DMyrGhwLIiJqiiJNJWatT8b+8zdgIxMQ+3RvPD3Ax+zvy8a7FoY3kfUoq9Ai6/at0Gou+Fb1/eWbpdDe7WpvDZg0qCMebOsMpY0MShs5VLZVX5U2Mihtq77ql9nWrKOQy+7rW6pxir7lYF7V4FgQEVFTlVfq8M/NJ7A15SoAYMFj3THz4QfM+nscG+9aGN5E94cKrQ5Xb5UaTGG/lFeC01duIafA+NHu5lLVlFc36TKo7mjOqxt4/ToG69/Z3BtZp3o/tnKoaq1ra+bbtXGKvmVhXtXgWBARkSl0OhGxO1Px2W9/AgCmhvrhrSfq3o63uTQlryz/hmdERABs5bLbF2NzAOCpX56YnoeJXxxucPshXT3gbGcDTYUOZZVaaCp00FTqUFahhaZSB02lFmUVVV81lTrU/pNk1ev1X8XdXOQyof4mvVbzX/W1nnXq+aOBrUyG/7f1dJ2mG6i6h7wA4J3tZzEioC2nndeDU/SJiIgsi0wmIPKvPeDppMR7P57D2kOXcL1Qg3+N7wOVrVzS7GbjTURWbWBnN7RzUSFHXWa0iaw+x/ub6QMb/YNVFEWUa6uabU1F/c25pnq5QTNvuE5Zo9ap+b72bdq0OhEl5VqUlGsBVDTLeDWWCCBbXYawmAS4OShgr5DDTiGHvUIOe4VN1fe2ctgrbW4vk8POtuq1O9fVv66Q3zdT9zlFn4iIyHLNeOgBeDmrMP+/KfjxVDZuFGkwPrgjPtiVJll2c6o5EVm96inTAAyab2ucMq3T3W76G9PMVy+vqNvA16xTu/nXouz21/zicuQWmneKvjFymQB727qNudGmXlHT2Btv6g2XtVRTb64p+pacVytXrsSyZcuQk5ODPn36YMWKFRg4cKDRdb/44gusW7cOp0+fBgAMGDAAS5YsqXd9Yyx5LIiIyHocunADL32bXO+tblsyu62i8W5K4N+J4U3UOvAIZNM0dor+ojEB6OzpiBJNZdXR9wotSsurvi+9fTS+6lFrWYXh66XlWpRrzT9V/86m3k5hA4e7NPV2Chs4KOtv6mtvX93Ua3UihsQm1HsF/nu5ir6l5tWmTZswefJkrF69GoMGDcLy5cvx3XffIS0tDV5edW/XMmnSJISFhSE0NBQqlQqxsbGIj4/HmTNn0KFDh0a9p6WOBRERWZ+Tl29h7MqDqO8avS2V3RbfeDc18O/E8CZqPXjObeNVN5ANTdFvrtuwVWh1tZrx2415RXVjXoliTf1NfWlF1euW0NTLZQJulTY87X/ji4MR0sW9Se9hqXk1aNAgBAcH45NPPgEA6HQ6dOzYEbNnz8bChQsb3F6r1aJNmzb45JNPMHny5Ea9p6WOBRERWZ/GHmwwd3Zb/DneH374IV588UVMmzYNALB69Wr8+OOP+PrrrxsV+ETUeshlQpN/YLZWcpmAqDEBmLX+OAQYn6IfNab5rgJqK5fBxU4GFzvbZtlfbQ019SXlWhSX19/Ul5RrUaK5e1Ov1YkorGeamjG5hXe/J721KC8vR3JyMiIjI/XLZDIZhg8fjsTExEbto6SkBBUVFXBzczNXmURERPVqbCabO7stuvFujsAnIiLjHgtsh1XP9a8zRb+tlU3RN3dTX1pxuzEvr8ThP/PwZvzpBrfzclI1ey1SuHHjBrRaLby9vQ2We3t7IzU1tVH7WLBgAdq3b4/hw4fXu45Go4FGU3PNgYKCAtMKJiIiukNjM9nc2W3Rjbcpgc/wJiJqvMcC22FEQFtO0a+HrbzqfurOqqqm3tfdASsSLjQ4RX9gZx7dBYCYmBjExcVh7969UKnq/4UmOjoa77zzTgtWRkRErUVj74Bj7uyWmXXvEoiOjoaLi4v+0bFjR6lLIiKyaNVT9J/s2wEhXdzZdN9F9RR9oGZKfjVzTNGXmoeHB+RyOa5du2aw/Nq1a2jbtu1dt/3ggw8QExODX375Bb17977rupGRkVCr1fpHVlbWPddOREQEWE52W3TjbUrgM7yJiMicqqfot3UxPILb1kVlVbeuawyFQoEBAwZg9+7d+mU6nQ67d+9GSEhIvdstXboU7777Lnbu3ImgoKAG30epVMLZ2dngQURE1FwsIbsteqp57cAfO3YsgJrAj4iIMLqNUqmEUqlswSqJiKi1aU1T9OfNm4cpU6YgKCgIAwcOxPLly1FcXKy/6OnkyZPRoUMHREdHAwBiY2Px9ttvY8OGDfDz80NOTg4AwNHREY6OjpJ9DiIiat2kzm6LbryBhgOfiIhICq3lKvoTJkzA9evX8fbbbyMnJwd9+/bFzp079ddfyczMhExWM4Fu1apVKC8vxzPPPGOwn6ioKCxatKglSyciIjIgZXZb/H28AeCTTz7BsmXL9IH/8ccfY9CgQY3alvcCJSIia8C8qsGxICIia3Bf3ccbACIiIuqdWk5ERERERERkySz64mpERERERERE1o6NNxEREREREZEZsfEmIiIiIiIiMiM23kRERERERERmxMabiIiIiIiIyIzYeBMRERERERGZERtvIiIiIiIiIjNi401ERERERERkRmy8iYiIiIiIiMzIRuoCzE0URQBAQUGBxJUQERHVrzqnqnOrNWN2ExGRNWhKdt/3jXdhYSEAoGPHjhJXQkRE1LDCwkK4uLhIXYakmN1ERGRNGpPdgnif/2ldp9Ph6tWrcHJygiAI97SvgoICdOzYEVlZWXB2dm6mCu9/HDfTcNxMw3EzDcfNNM05bqIoorCwEO3bt4dM1rrPBGN2S4/jZhqOm2k4bqbhuJlGquy+7494y2Qy+Pj4NOs+nZ2d+Y/bBBw303DcTMNxMw3HzTTNNW6t/Uh3NWa35eC4mYbjZhqOm2k4bqZp6exu3X9SJyIiIiIiIjIzNt5EREREREREZsTGuwmUSiWioqKgVCqlLsWqcNxMw3EzDcfNNBw303DcLB//G5mG42YajptpOG6m4biZRqpxu+8vrkZEREREREQkJR7xJiIiIiIiIjIjNt5EREREREREZsTGm4iIiIiIiMiM2Hg3QnR0NIKDg+Hk5AQvLy+MHTsWaWlpUpdl8VatWoXevXvr75EXEhKCn3/+WeqyrE5MTAwEQcDcuXOlLsWiLVq0CIIgGDy6d+8udVlW4cqVK3juuefg7u4OOzs79OrVC8eOHZO6LIvm5+dX59+bIAgIDw+XujS6jdltGmb3vWNuNw5z23TM7aazhNy2abF3smL79u1DeHg4goODUVlZiTfffBMjR47E2bNn4eDgIHV5FsvHxwcxMTHo1q0bRFHEN998gyeffBK///47evbsKXV5ViEpKQmfffYZevfuLXUpVqFnz5749ddf9c9tbPgjriE3b95EWFgY/vKXv+Dnn3+Gp6cnzp8/jzZt2khdmkVLSkqCVqvVPz99+jRGjBiBcePGSVgV1cbsNg2z+94wt5uGud10zG3TWEJu86rmJrh+/Tq8vLywb98+DB06VOpyrIqbmxuWLVuGF154QepSLF5RURH69++PTz/9FO+99x769u2L5cuXS12WxVq0aBG2bt2KlJQUqUuxKgsXLsTBgwexf/9+qUuxanPnzsWOHTtw/vx5CIIgdTlkBLPbdMzuxmFuNw1z2zTM7eYhRW5zqrkJ1Go1gKogosbRarWIi4tDcXExQkJCpC7HKoSHh2P06NEYPny41KVYjfPnz6N9+/Z44IEHMGnSJGRmZkpdksXbtm0bgoKCMG7cOHh5eaFfv3744osvpC7LqpSXl2P9+vWYPn06m24LxuxuOmZ30zC3m4653XTM7XsnVW5zPkcT6XQ6zJ07F2FhYQgMDJS6HIt36tQphISEoKysDI6OjoiPj0dAQIDUZVm8uLg4HD9+HElJSVKXYjUGDRqEtWvX4sEHH0R2djbeeecdPPTQQzh9+jScnJykLs9i/fnnn1i1ahXmzZuHN998E0lJSZgzZw4UCgWmTJkidXlWYevWrbh16xamTp0qdSlUD2Z30zC7m4653XTMbdMwt++dVLnNqeZNNGvWLPz88884cOAAfHx8pC7H4pWXlyMzMxNqtRqbN2/Gl19+iX379jHA7yIrKwtBQUH43//+pz9HbNiwYZyy1kS3bt2Cr68vPvzwQ06PvAuFQoGgoCAcOnRIv2zOnDlISkpCYmKihJVZj1GjRkGhUGD79u1Sl0L1YHY3DbO7aZjbzYO53TjM7XsnVW5zqnkTREREYMeOHdizZw+Du5EUCgW6du2KAQMGIDo6Gn369MFHH30kdVkWLTk5Gbm5uejfvz9sbGxgY2ODffv24eOPP4aNjY3BhSGofq6urvD398eFCxekLsWitWvXrs4v0z169OB0v0bKyMjAr7/+ihkzZkhdCtWD2d10zO6mYW43D+Z24zC3742Uuc2p5o0giiJmz56N+Ph47N27F507d5a6JKul0+mg0WikLsOiPfroozh16pTBsmnTpqF79+5YsGAB5HK5RJVZl6KiIqSnp+P555+XuhSLFhYWVucWS3/88Qd8fX0lqsi6rFmzBl5eXhg9erTUpdAdmN3Nh9l9d8zt5sHcbhzm9r2RMrfZeDdCeHg4NmzYgB9++AFOTk7IyckBALi4uMDOzk7i6ixXZGQkHn/8cXTq1AmFhYXYsGED9u7di127dkldmkVzcnKqcw6ig4MD3N3deW7iXbz++usYM2YMfH19cfXqVURFRUEul2PixIlSl2bRXnvtNYSGhmLJkiUYP348jh49is8//xyff/651KVZPJ1OhzVr1mDKlCm8BY4FYnabhtnddMxt0zC3TcPcNp3Uuc3fFBph1apVAKrO16ltzZo1vJjOXeTm5mLy5MnIzs6Gi4sLevfujV27dmHEiBFSl0b3ocuXL2PixInIy8uDp6cnhgwZgsOHD8PT01Pq0ixacHAw4uPjERkZicWLF6Nz585Yvnw5Jk2aJHVpFu/XX39FZmYmpk+fLnUpZASz2zTMbmopzG3TMLdNJ3Vu8+JqRERERERERGbEi6sRERERERERmREbbyIiIiIiIiIzYuNNREREREREZEZsvImIiIiIiIjMiI03ERERERERkRmx8SYiIiIiIiIyIzbeRERERERERGbExpuIiIiIiIjIjNh4ExEREREREZkRG28iC3Dp0iUIgoCUlBSpS9FLTU3F4MGDoVKp0Ldv3yZvb4mf6V599dVXGDlypP751KlTMXbs2HrXX716NcaMGdMClRERUUuzxJxjdtfF7CZLwcabCFU/hAVBQExMjMHyrVu3QhAEiaqSVlRUFBwcHJCWlobdu3dLXQ7Wrl0LV1dXyd6/rKwMb731FqKiohq9zfTp03H8+HHs37/fjJUREbVOzO66mN2GmN1kSdh4E92mUqkQGxuLmzdvSl1KsykvLzd52/T0dAwZMgS+vr5wd3dvxqqkpdVqodPpmrzd5s2b4ezsjLCwsEZvo1Ao8Oyzz+Ljjz9u8vsREVHDmN2GmN2GmN1kSdh4E902fPhwtG3bFtHR0fWus2jRojpTt5YvXw4/Pz/98+opTEuWLIG3tzdcXV2xePFiVFZW4o033oCbmxt8fHywZs2aOvtPTU1FaGgoVCoVAgMDsW/fPoPXT58+jccffxyOjo7w9vbG888/jxs3buhfHzZsGCIiIjB37lx4eHhg1KhRRj+HTqfD4sWL4ePjA6VSib59+2Lnzp361wVBQHJyMhYvXgxBELBo0aJ697N06VJ07doVSqUSnTp1wvvvv290XWN/9b7zqMSJEyfwl7/8BU5OTnB2dsaAAQNw7Ngx7N27F9OmTYNarYYgCAY1aTQavP766+jQoQMcHBwwaNAg7N27t877btu2DQEBAVAqlcjMzMTevXsxcOBAODg4wNXVFWFhYcjIyDBaOwDExcU1OPUsKSkJnp6eiI2N1S8bM2YMtm3bhtLS0rtuS0RETcfsZnYzu8lasPEmuk0ul2PJkiVYsWIFLl++fE/7SkhIwNWrV/Hbb7/hww8/RFRUFJ544gm0adMGR44cwcyZM/Hyyy/XeZ833ngD8+fPx++//46QkBCMGTMGeXl5AIBbt27hkUceQb9+/XDs2DHs3LkT165dw/jx4w328c0330ChUODgwYNYvXq10fo++ugj/Otf/8IHH3yAkydPYtSoUfjb3/6G8+fPAwCys7PRs2dPzJ8/H9nZ2Xj99deN7icyMhIxMTF46623cPbsWWzYsAHe3t4mj9ukSZPg4+ODpKQkJCcnY+HChbC1tUVoaCiWL18OZ2dnZGdnG9QUERGBxMRExMXF4eTJkxg3bhwee+wx/WcBgJKSEsTGxuLLL7/EmTNn4ObmhrFjx+Lhhx/GyZMnkZiYiJdeeumuUxMPHDiAoKCgel9PSEjAiBEj8P7772PBggX65UFBQaisrMSRI0dMHhciIjKO2c3sZnaT1RCJSJwyZYr45JNPiqIoioMHDxanT58uiqIoxsfHi7X/N4mKihL79OljsO2///1v0dfX12Bfvr6+olar1S978MEHxYceekj/vLKyUnRwcBA3btwoiqIoXrx4UQQgxsTE6NepqKgQfXx8xNjYWFEURfHdd98VR44cafDeWVlZIgAxLS1NFEVRfPjhh8V+/fo1+Hnbt28vvv/++wbLgoODxVdeeUX/vE+fPmJUVFS9+ygoKBCVSqX4xRdfGH29+jP9/vvvoiiK4po1a0QXFxeDde4cXycnJ3Ht2rVG92ds+4yMDFEul4tXrlwxWP7oo4+KkZGR+u0AiCkpKfrX8/LyRADi3r176/18td28eVMEIP72228Gy6v/3WzZskV0dHQU4+LijG7fpk2bej8XERGZhtnN7L4bZjdZGpuWb/WJLFtsbCweeeSRev9S3Bg9e/aETFYzocTb2xuBgYH653K5HO7u7sjNzTXYLiQkRP+9jY0NgoKCcO7cOQBVU7n27NkDR0fHOu+Xnp4Of39/AMCAAQPuWltBQQGuXr1a53ynsLAwnDhxopGfEDh37hw0Gg0effTRRm/TkHnz5mHGjBn49ttvMXz4cIwbNw5dunSpd/1Tp05Bq9XqP3s1jUZjcG6bQqFA79699c/d3NwwdepUjBo1CiNGjMDw4cMxfvx4tGvXzuj7VE81U6lUdV47cuQIduzYgc2bN9d7lVQ7OzuUlJTU+zmIiOjeMLsbh9ldhdlNUuBUc6I7DB06FKNGjUJkZGSd12QyGURRNFhWUVFRZz1bW1uD54IgGF3WlAuFFBUVYcyYMUhJSTF4nD9/HkOHDtWv5+Dg0Oh93gs7O7smrd+YsVu0aBHOnDmD0aNHIyEhAQEBAYiPj693n0VFRZDL5UhOTjYYk3PnzuGjjz4yqPXOqWhr1qxBYmIiQkNDsWnTJvj7++Pw4cNG38fd3R2CIBi9eE+XLl3QvXt3fP3110b/LQBAfn4+PD096/0cRER0b5jdjcPsrsLsJimw8SYyIiYmBtu3b0diYqLBck9PT+Tk5BiEUHPe67J2eFRWViI5ORk9evQAAPTv3x9nzpyBn58funbtavBoSmA7Ozujffv2OHjwoMHygwcPIiAgoNH76datG+zs7Bp9uxJPT08UFhaiuLhYv8zY2Pn7++O1117DL7/8gqeeekp/IRuFQgGtVmuwbr9+/aDVapGbm1tnTNq2bdtgTf369UNkZCQOHTqEwMBAbNiwweh6CoUCAQEBOHv2bJ3XPDw8kJCQgAsXLmD8+PF1Ajw9PR1lZWXo169fg/UQEZHpmN0NY3ZXYXaTFNh4ExnRq1cvTJo0qc6tJIYNG4br169j6dKlSE9Px8qVK/Hzzz832/uuXLkS8fHxSE1NRXh4OG7evInp06cDAMLDw5Gfn4+JEyciKSkJ6enp2LVrF6ZNm1Yn1BryxhtvIDY2Fps2bUJaWhoWLlyIlJQUvPrqq43eh0qlwoIFC/DPf/4T69atQ3p6Og4fPoyvvvrK6PqDBg2Cvb093nzzTaSnp2PDhg1Yu3at/vXS0lJERERg7969yMjIwMGDB5GUlKT/5cXPzw9FRUXYvXs3bty4gZKSEvj7+2PSpEmYPHkytmzZgosXL+Lo0aOIjo7Gjz/+WG/tFy9eRGRkJBITE5GRkYFffvkF58+f17+XMaNGjcKBAweMvubl5YWEhASkpqZi4sSJqKys1L+2f/9+PPDAA3eddkdERPeO2d0wZncNZje1NDbeRPVYvHhxnelkPXr0wKeffoqVK1eiT58+OHr06D2dT3anmJgYxMTEoE+fPjhw4AC2bdsGDw8PAND/pVur1WLkyJHo1asX5s6dC1dXV4Nz0hpjzpw5mDdvHubPn49evXph586d2LZtG7p169ak/bz11luYP38+3n77bfTo0QMTJkyoc+5bNTc3N6xfvx4//fQTevXqhY0bNxrc6kQulyMvLw+TJ0+Gv78/xo8fj8cffxzvvPMOACA0NBQzZ87EhAkT4OnpiaVLlwKomnY2efJkzJ8/Hw8++CDGjh2LpKQkdOrUqd667e3tkZqaiqeffhr+/v546aWXEB4ejpdffrnebV544QX89NNPUKvVRl9v27YtEhIScOrUKUyaNEn/C9XGjRvx4osv3nUciYioeTC7G8bsrsHsppYkiHeeuEFEREaNGzcO/fv3N3oOoTFnzpzBI488gj/++AMuLi5mro6IiIjuxOwmS8Ej3kREjbRs2TKjV6atT3Z2NtatW8fgJiIikgizmywFj3gTERERERERmRGPeBMRERERERGZERtvIiIiIiIiIjNi401ERERERERkRmy8iYiIiIiIiMyIjTcRERERERGRGbHxJiIiIiIiIjIjNt5EREREREREZsTGm4iIiIiIiMiM2HgTERERERERmdH/B06sMy3YbkIxAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x800 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "      Brand         Model  Screen Size (inches)  Resolution Width  \\\n",
            "0     Apple     iPhone 14                  6.10              2532   \n",
            "1     Apple     iPhone 13                  6.10              2532   \n",
            "2   Samsung    Galaxy S23                  6.10              2340   \n",
            "3   Samsung    Galaxy S22                  6.20              2340   \n",
            "4  Motorola     Moto G200                  6.80              2460   \n",
            "5  Motorola  Moto Edge 30                  6.50              2400   \n",
            "6     Nokia     Nokia X30                  6.43              2400   \n",
            "7     Nokia     Nokia G60                  6.58              2400   \n",
            "\n",
            "   Resolution Height  Price (rs)  Hierarchical Cluster  KMeans Cluster  \n",
            "0               1170       79900                     0               2  \n",
            "1               1170       69900                     0               2  \n",
            "2               1080       79900                     0               0  \n",
            "3               1080       84900                     0               0  \n",
            "4               1080       59900                     0               1  \n",
            "5               1080       44900                     0               1  \n",
            "6               1080       35000                     0               1  \n",
            "7               1080       25000                     0               1  \n"
          ]
        }
      ],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.cluster import AgglomerativeClustering, KMeans\n",
        "import matplotlib.pyplot as plt\n",
        "import scipy.cluster.hierarchy as sch\n",
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "# Step 1: Load the mobile display data\n",
        "data = {\n",
        "    'Brand': ['Apple', 'Apple', 'Samsung', 'Samsung', 'Motorola', 'Motorola', 'Nokia', 'Nokia'],\n",
        "    'Model': ['iPhone 14', 'iPhone 13', 'Galaxy S23', 'Galaxy S22', 'Moto G200', 'Moto Edge 30', 'Nokia X30', 'Nokia G60'],\n",
        "    'Screen Size (inches)': [6.1, 6.1, 6.1, 6.2, 6.8, 6.5, 6.43, 6.58],\n",
        "    'Resolution (pixels)': ['2532x1170', '2532x1170', '2340x1080', '2340x1080', '2460x1080', '2400x1080', '2400x1080', '2400x1080'],\n",
        "    'Price (rs)': [79900, 69900, 79900, 84900, 59900, 44900, 35000, 25000]\n",
        "}\n",
        "\n",
        "df = pd.DataFrame(data)\n",
        "\n",
        "# Step 2: Preprocessing - Convert the resolution to numeric (width and height in pixels)\n",
        "df[['Resolution Width', 'Resolution Height']] = df['Resolution (pixels)'].str.split('x', expand=True)\n",
        "df[['Resolution Width', 'Resolution Height']] = df[['Resolution Width', 'Resolution Height']].astype(int)\n",
        "\n",
        "# Step 3: Select the features for clustering: 'Screen Size', 'Resolution Width', 'Resolution Height', and 'Price'\n",
        "features = df[['Screen Size (inches)', 'Resolution Width', 'Resolution Height', 'Price (rs)']]\n",
        "\n",
        "# Step 4: Scale the features\n",
        "scaler = StandardScaler()\n",
        "scaled_features = scaler.fit_transform(features)\n",
        "\n",
        "# Step 5: Apply Agglomerative Hierarchical Clustering\n",
        "agglomerative_clustering = AgglomerativeClustering(distance_threshold=50, linkage='ward', n_clusters=None)\n",
        "df['Hierarchical Cluster'] = agglomerative_clustering.fit_predict(scaled_features)\n",
        "\n",
        "# Step 6: Visualize the dendrogram to understand the clustering hierarchy\n",
        "plt.figure(figsize=(10, 7))\n",
        "sch.dendrogram(sch.linkage(scaled_features, method='ward'))\n",
        "plt.title('Hierarchical Clustering Dendrogram')\n",
        "plt.xlabel('Phone Models')\n",
        "plt.ylabel('Distance')\n",
        "plt.show()\n",
        "\n",
        "# Step 7: K-means clustering - Elbow method to find optimal number of clusters\n",
        "inertias = []\n",
        "silhouette_scores = []\n",
        "max_clusters = 7  # Since we have 8 data points, we'll test up to 7 clusters\n",
        "\n",
        "for k in range(2, max_clusters + 1):\n",
        "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
        "    kmeans.fit(scaled_features)\n",
        "    inertias.append(kmeans.inertia_)\n",
        "    silhouette_scores.append(silhouette_score(scaled_features, kmeans.labels_))\n",
        "\n",
        "# Plot the elbow curve\n",
        "plt.figure(figsize=(10, 5))\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(range(2, max_clusters + 1), inertias, marker='o')\n",
        "plt.title('Elbow Method for Optimal k')\n",
        "plt.xlabel('Number of clusters (k)')\n",
        "plt.ylabel('Inertia')\n",
        "\n",
        "# Plot the silhouette scores\n",
        "plt.subplot(1, 2, 2)\n",
        "plt.plot(range(2, max_clusters + 1), silhouette_scores, marker='o')\n",
        "plt.title('Silhouette Score for Optimal k')\n",
        "plt.xlabel('Number of clusters (k)')\n",
        "plt.ylabel('Silhouette Score')\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "# Choose the optimal number of clusters (let's say it's 3 based on the elbow curve and silhouette score)\n",
        "optimal_k = 3\n",
        "\n",
        "# Apply K-means clustering with the optimal number of clusters\n",
        "kmeans = KMeans(n_clusters=optimal_k, random_state=42)\n",
        "df['KMeans Cluster'] = kmeans.fit_predict(scaled_features)\n",
        "\n",
        "# Visualize K-means clusters\n",
        "plt.figure(figsize=(10, 8))\n",
        "scatter = plt.scatter(df['Screen Size (inches)'], df['Price (rs)'],\n",
        "                      c=df['KMeans Cluster'], cmap='viridis',\n",
        "                      s=100, alpha=0.7)\n",
        "plt.colorbar(scatter)\n",
        "plt.title('K-means Clustering of Mobile Phones')\n",
        "plt.xlabel('Screen Size (inches)')\n",
        "plt.ylabel('Price (rs)')\n",
        "\n",
        "for i, txt in enumerate(df['Model']):\n",
        "    plt.annotate(txt, (df['Screen Size (inches)'][i], df['Price (rs)'][i]),\n",
        "                 xytext=(5, 5), textcoords='offset points')\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "# Display the DataFrame with cluster labels\n",
        "print(df[['Brand', 'Model', 'Screen Size (inches)', 'Resolution Width', 'Resolution Height', 'Price (rs)', 'Hierarchical Cluster', 'KMeans Cluster']])"
      ]
    }
  ]
}