map_google.ipynb

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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "map_google.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": [],
      "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/github/bhagi8289/Insaid/blob/master/map_google.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-TMO4C6bJtkF",
        "colab_type": "code",
        "outputId": "538400f5-b08d-4124-e35e-dff23f0c951e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "from IPython.display import display\n",
        "from IPython.core.display import HTML\n",
        "pd.options.mode.use_inf_as_na = True\n",
        "pd.options.display.max_columns = None\n",
        "pd.options.display.max_rows = None\n",
        "\n",
        "\n",
        "from google.colab import drive\n",
        "drive.mount('/content/gdrive',force_remount=True)     \n",
        "df_events_data = pd.read_pickle(\"/content/gdrive//My Drive/capstone/df_events_data3.pkl\") \n",
        "df_gender_age_train = pd.read_pickle(\"/content/gdrive//My Drive/capstone/df_gender_age_train3.pkl\") \n",
        "df_phone_brand_device_model = pd.read_pickle(\"/content/gdrive//My Drive/capstone/df_phone_brand_device_model3.pkl\") \n",
        "#print(\"Success\")\n",
        "print(\"Visit https://myaccount.google.com/permissions to unmount\")        "
      ],
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/gdrive\n",
            "Visit https://myaccount.google.com/permissions to unmount\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MpHM9eofNo5t",
        "colab_type": "code",
        "outputId": "1e45b477-64f2-4459-b13a-d4ee4305e683",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 294
        }
      },
      "source": [
        "df_events_data.describe()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>event_id</th>\n",
              "      <th>device_id</th>\n",
              "      <th>longitude</th>\n",
              "      <th>latitude</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>3.252495e+06</td>\n",
              "      <td>3.252495e+06</td>\n",
              "      <td>3.252495e+06</td>\n",
              "      <td>3.252495e+06</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>1.626506e+06</td>\n",
              "      <td>-8.158305e+16</td>\n",
              "      <td>7.815856e+01</td>\n",
              "      <td>2.168856e+01</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>9.390434e+05</td>\n",
              "      <td>5.347535e+18</td>\n",
              "      <td>4.235456e+00</td>\n",
              "      <td>5.789182e+00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>1.000000e+00</td>\n",
              "      <td>-9.223067e+18</td>\n",
              "      <td>1.256700e+01</td>\n",
              "      <td>8.190110e+00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.132695e+05</td>\n",
              "      <td>-4.727609e+18</td>\n",
              "      <td>7.583527e+01</td>\n",
              "      <td>1.780170e+01</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>1.626516e+06</td>\n",
              "      <td>-1.248416e+17</td>\n",
              "      <td>7.726814e+01</td>\n",
              "      <td>2.216454e+01</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>2.439748e+06</td>\n",
              "      <td>4.561184e+18</td>\n",
              "      <td>8.031916e+01</td>\n",
              "      <td>2.868278e+01</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>3.252950e+06</td>\n",
              "      <td>9.221843e+18</td>\n",
              "      <td>9.545946e+01</td>\n",
              "      <td>4.187190e+01</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "           event_id     device_id     longitude      latitude\n",
              "count  3.252495e+06  3.252495e+06  3.252495e+06  3.252495e+06\n",
              "mean   1.626506e+06 -8.158305e+16  7.815856e+01  2.168856e+01\n",
              "std    9.390434e+05  5.347535e+18  4.235456e+00  5.789182e+00\n",
              "min    1.000000e+00 -9.223067e+18  1.256700e+01  8.190110e+00\n",
              "25%    8.132695e+05 -4.727609e+18  7.583527e+01  1.780170e+01\n",
              "50%    1.626516e+06 -1.248416e+17  7.726814e+01  2.216454e+01\n",
              "75%    2.439748e+06  4.561184e+18  8.031916e+01  2.868278e+01\n",
              "max    3.252950e+06  9.221843e+18  9.545946e+01  4.187190e+01"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3n1SYdkNKJxX",
        "colab_type": "code",
        "outputId": "9ee5fad1-b5e8-46a5-d921-d9d6ccff4566",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        }
      },
      "source": [
        "#!pip install gmplot\n",
        "import gmplot\n",
        "gmap4 = gmplot.GoogleMapPlotter(16.5937, 80.9629, 4.5)\n",
        "#gmap4 = gmplot.GoogleMapPlotter(28.7041,77.1025, 4.5)\n",
        "\n",
        "#latitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['latitude'].values\n",
        "#longitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['longitude'].values\n",
        "latitude_list = [16.597411163085024, 17.367870738210453, 18.94522368058757, 18.7438444165892, 18.578996944793936, 17.77987386700723, 14.765580641658392]\n",
        "longitude_list = [80.69868248370226,78.45078046460176,78.31417210758023,79.33169128069352,83.92287187805671,83.34535717537419,78.42130878407919]\n",
        "\n",
        "gmap4.heatmap( latitude_list, longitude_list )\n",
        "#gmap4.scatter( latitude_list, longitude_list, '# FF0000', \n",
        "#                              size = 40, marker = False )\n",
        "gmap4.draw(\"/content/gdrive//My Drive/capstone/ap_hm.html\")\n",
        "import os\n",
        "os.system(\"/content/gdrive//My Drive/capstone/ap_hm.html\")"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "32512"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JmVEGwrHQQzR",
        "colab_type": "code",
        "outputId": "4df7e833-c21a-4cf8-bce3-687d691a0e70",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 3115
        }
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "\n",
        "#Range lat,long\n",
        "# [81.90110,12.56700] to [41.87190,95.45946]\n",
        "latitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['latitude'].values\n",
        "longitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['longitude'].values\n",
        "df = pd.DataFrame({\n",
        "    'x': latitude_list,\n",
        "    'y': longitude_list\n",
        "})\n",
        "\n",
        "df.sample(100)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
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              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>x</th>\n",
              "      <th>y</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>185147</th>\n",
              "      <td>17.776308</td>\n",
              "      <td>83.381073</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>194881</th>\n",
              "      <td>17.822647</td>\n",
              "      <td>83.354668</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>162723</th>\n",
              "      <td>17.812841</td>\n",
              "      <td>83.348190</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>96250</th>\n",
              "      <td>17.771599</td>\n",
              "      <td>83.338928</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>59719</th>\n",
              "      <td>17.805140</td>\n",
              "      <td>83.338531</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>129410</th>\n",
              "      <td>17.802094</td>\n",
              "      <td>83.321770</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40736</th>\n",
              "      <td>17.829079</td>\n",
              "      <td>83.397789</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>73811</th>\n",
              "      <td>17.821310</td>\n",
              "      <td>83.384460</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>182014</th>\n",
              "      <td>17.829906</td>\n",
              "      <td>83.319687</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>285076</th>\n",
              "      <td>17.099543</td>\n",
              "      <td>82.220490</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>108600</th>\n",
              "      <td>17.773054</td>\n",
              "      <td>83.315964</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>162337</th>\n",
              "      <td>17.757381</td>\n",
              "      <td>83.334618</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>127636</th>\n",
              "      <td>17.758585</td>\n",
              "      <td>83.390999</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>91482</th>\n",
              "      <td>17.813566</td>\n",
              "      <td>83.378166</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>202830</th>\n",
              "      <td>17.811321</td>\n",
              "      <td>83.318565</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>288199</th>\n",
              "      <td>16.510988</td>\n",
              "      <td>79.991226</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>90026</th>\n",
              "      <td>17.783318</td>\n",
              "      <td>83.396111</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>219531</th>\n",
              "      <td>17.806890</td>\n",
              "      <td>83.378708</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>134131</th>\n",
              "      <td>17.769510</td>\n",
              "      <td>83.316582</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>137489</th>\n",
              "      <td>17.811665</td>\n",
              "      <td>83.371185</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>241014</th>\n",
              "      <td>15.850082</td>\n",
              "      <td>80.392662</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>26478</th>\n",
              "      <td>17.823107</td>\n",
              "      <td>83.351913</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>166405</th>\n",
              "      <td>17.767916</td>\n",
              "      <td>83.325081</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>227680</th>\n",
              "      <td>17.771200</td>\n",
              "      <td>83.318443</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>114607</th>\n",
              "      <td>17.783064</td>\n",
              "      <td>83.314148</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>293059</th>\n",
              "      <td>15.533780</td>\n",
              "      <td>78.551201</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>94393</th>\n",
              "      <td>17.772251</td>\n",
              "      <td>83.351440</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>117743</th>\n",
              "      <td>17.757662</td>\n",
              "      <td>83.368057</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>245638</th>\n",
              "      <td>19.394106</td>\n",
              "      <td>79.531975</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>202657</th>\n",
              "      <td>17.811321</td>\n",
              "      <td>83.318565</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>196137</th>\n",
              "      <td>17.791822</td>\n",
              "      <td>83.371300</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>155670</th>\n",
              "      <td>17.772909</td>\n",
              "      <td>83.358330</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>309722</th>\n",
              "      <td>14.989269</td>\n",
              "      <td>78.022026</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>237901</th>\n",
              "      <td>17.677811</td>\n",
              "      <td>80.762772</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11715</th>\n",
              "      <td>17.754980</td>\n",
              "      <td>83.356781</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>259392</th>\n",
              "      <td>16.534876</td>\n",
              "      <td>80.622375</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>69563</th>\n",
              "      <td>17.752983</td>\n",
              "      <td>83.343788</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>131210</th>\n",
              "      <td>17.809134</td>\n",
              "      <td>83.382309</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>170651</th>\n",
              "      <td>17.790976</td>\n",
              "      <td>83.380882</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>97300</th>\n",
              "      <td>17.802593</td>\n",
              "      <td>83.351410</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9961</th>\n",
              "      <td>17.807877</td>\n",
              "      <td>83.370407</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>269484</th>\n",
              "      <td>14.770351</td>\n",
              "      <td>76.883904</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>192970</th>\n",
              "      <td>17.785341</td>\n",
              "      <td>83.385590</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>116082</th>\n",
              "      <td>17.822071</td>\n",
              "      <td>83.340584</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>231735</th>\n",
              "      <td>17.742840</td>\n",
              "      <td>83.362740</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>327</th>\n",
              "      <td>17.820377</td>\n",
              "      <td>83.352585</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>230712</th>\n",
              "      <td>17.777666</td>\n",
              "      <td>83.361084</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>262291</th>\n",
              "      <td>14.126191</td>\n",
              "      <td>78.774063</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>236197</th>\n",
              "      <td>16.485056</td>\n",
              "      <td>80.279961</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>278595</th>\n",
              "      <td>17.243406</td>\n",
              "      <td>79.645699</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>226448</th>\n",
              "      <td>17.776846</td>\n",
              "      <td>83.397949</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>259148</th>\n",
              "      <td>18.465950</td>\n",
              "      <td>79.171272</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>287177</th>\n",
              "      <td>15.742376</td>\n",
              "      <td>77.861221</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>100143</th>\n",
              "      <td>17.829748</td>\n",
              "      <td>83.326714</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>182736</th>\n",
              "      <td>17.788080</td>\n",
              "      <td>83.310738</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>121042</th>\n",
              "      <td>17.810692</td>\n",
              "      <td>83.310097</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>227768</th>\n",
              "      <td>17.758762</td>\n",
              "      <td>83.389412</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>266099</th>\n",
              "      <td>15.688936</td>\n",
              "      <td>77.345802</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40851</th>\n",
              "      <td>17.783646</td>\n",
              "      <td>83.333107</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>280742</th>\n",
              "      <td>17.768450</td>\n",
              "      <td>83.306252</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>56135</th>\n",
              "      <td>17.752201</td>\n",
              "      <td>83.371147</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>83946</th>\n",
              "      <td>17.775417</td>\n",
              "      <td>83.373009</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>107701</th>\n",
              "      <td>17.811222</td>\n",
              "      <td>83.357422</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>246451</th>\n",
              "      <td>18.466953</td>\n",
              "      <td>78.899727</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>154073</th>\n",
              "      <td>17.816629</td>\n",
              "      <td>83.322090</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>205400</th>\n",
              "      <td>17.775366</td>\n",
              "      <td>83.386078</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>209108</th>\n",
              "      <td>17.815027</td>\n",
              "      <td>83.379295</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>197396</th>\n",
              "      <td>17.768082</td>\n",
              "      <td>83.317451</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>247933</th>\n",
              "      <td>13.305801</td>\n",
              "      <td>79.148590</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>79375</th>\n",
              "      <td>17.778591</td>\n",
              "      <td>83.366241</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>299256</th>\n",
              "      <td>18.869030</td>\n",
              "      <td>78.749664</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>308173</th>\n",
              "      <td>17.110107</td>\n",
              "      <td>81.838951</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>146105</th>\n",
              "      <td>17.791092</td>\n",
              "      <td>83.371132</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>291918</th>\n",
              "      <td>17.389446</td>\n",
              "      <td>78.494965</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>311616</th>\n",
              "      <td>17.610483</td>\n",
              "      <td>78.322289</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>99651</th>\n",
              "      <td>17.829748</td>\n",
              "      <td>83.326714</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>218138</th>\n",
              "      <td>17.762243</td>\n",
              "      <td>83.399567</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>87856</th>\n",
              "      <td>17.829699</td>\n",
              "      <td>83.315041</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>98858</th>\n",
              "      <td>17.761873</td>\n",
              "      <td>83.379608</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>313239</th>\n",
              "      <td>16.282066</td>\n",
              "      <td>80.749252</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>272477</th>\n",
              "      <td>17.442999</td>\n",
              "      <td>78.557205</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>66788</th>\n",
              "      <td>17.776155</td>\n",
              "      <td>83.357903</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>223305</th>\n",
              "      <td>17.774525</td>\n",
              "      <td>83.370377</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>186380</th>\n",
              "      <td>17.822906</td>\n",
              "      <td>83.342712</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>99563</th>\n",
              "      <td>17.829748</td>\n",
              "      <td>83.326714</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>99611</th>\n",
              "      <td>17.829748</td>\n",
              "      <td>83.326714</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>27681</th>\n",
              "      <td>17.805683</td>\n",
              "      <td>83.364471</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>190536</th>\n",
              "      <td>17.753576</td>\n",
              "      <td>83.312943</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>275859</th>\n",
              "      <td>17.573004</td>\n",
              "      <td>78.441765</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>233136</th>\n",
              "      <td>17.806791</td>\n",
              "      <td>83.350494</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>229043</th>\n",
              "      <td>17.772511</td>\n",
              "      <td>83.398911</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11832</th>\n",
              "      <td>17.790249</td>\n",
              "      <td>83.379036</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>227929</th>\n",
              "      <td>17.816999</td>\n",
              "      <td>83.394409</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>195497</th>\n",
              "      <td>17.822350</td>\n",
              "      <td>83.332642</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5079</th>\n",
              "      <td>17.740051</td>\n",
              "      <td>83.321594</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>242527</th>\n",
              "      <td>15.581550</td>\n",
              "      <td>80.103165</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>140486</th>\n",
              "      <td>17.805698</td>\n",
              "      <td>83.369873</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>220835</th>\n",
              "      <td>17.803976</td>\n",
              "      <td>83.330795</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>102545</th>\n",
              "      <td>17.778933</td>\n",
              "      <td>83.379539</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>63655</th>\n",
              "      <td>17.763214</td>\n",
              "      <td>83.391998</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                x          y\n",
              "185147  17.776308  83.381073\n",
              "194881  17.822647  83.354668\n",
              "162723  17.812841  83.348190\n",
              "96250   17.771599  83.338928\n",
              "59719   17.805140  83.338531\n",
              "129410  17.802094  83.321770\n",
              "40736   17.829079  83.397789\n",
              "73811   17.821310  83.384460\n",
              "182014  17.829906  83.319687\n",
              "285076  17.099543  82.220490\n",
              "108600  17.773054  83.315964\n",
              "162337  17.757381  83.334618\n",
              "127636  17.758585  83.390999\n",
              "91482   17.813566  83.378166\n",
              "202830  17.811321  83.318565\n",
              "288199  16.510988  79.991226\n",
              "90026   17.783318  83.396111\n",
              "219531  17.806890  83.378708\n",
              "134131  17.769510  83.316582\n",
              "137489  17.811665  83.371185\n",
              "241014  15.850082  80.392662\n",
              "26478   17.823107  83.351913\n",
              "166405  17.767916  83.325081\n",
              "227680  17.771200  83.318443\n",
              "114607  17.783064  83.314148\n",
              "293059  15.533780  78.551201\n",
              "94393   17.772251  83.351440\n",
              "117743  17.757662  83.368057\n",
              "245638  19.394106  79.531975\n",
              "202657  17.811321  83.318565\n",
              "196137  17.791822  83.371300\n",
              "155670  17.772909  83.358330\n",
              "309722  14.989269  78.022026\n",
              "237901  17.677811  80.762772\n",
              "11715   17.754980  83.356781\n",
              "259392  16.534876  80.622375\n",
              "69563   17.752983  83.343788\n",
              "131210  17.809134  83.382309\n",
              "170651  17.790976  83.380882\n",
              "97300   17.802593  83.351410\n",
              "9961    17.807877  83.370407\n",
              "269484  14.770351  76.883904\n",
              "192970  17.785341  83.385590\n",
              "116082  17.822071  83.340584\n",
              "231735  17.742840  83.362740\n",
              "327     17.820377  83.352585\n",
              "230712  17.777666  83.361084\n",
              "262291  14.126191  78.774063\n",
              "236197  16.485056  80.279961\n",
              "278595  17.243406  79.645699\n",
              "226448  17.776846  83.397949\n",
              "259148  18.465950  79.171272\n",
              "287177  15.742376  77.861221\n",
              "100143  17.829748  83.326714\n",
              "182736  17.788080  83.310738\n",
              "121042  17.810692  83.310097\n",
              "227768  17.758762  83.389412\n",
              "266099  15.688936  77.345802\n",
              "40851   17.783646  83.333107\n",
              "280742  17.768450  83.306252\n",
              "56135   17.752201  83.371147\n",
              "83946   17.775417  83.373009\n",
              "107701  17.811222  83.357422\n",
              "246451  18.466953  78.899727\n",
              "154073  17.816629  83.322090\n",
              "205400  17.775366  83.386078\n",
              "209108  17.815027  83.379295\n",
              "197396  17.768082  83.317451\n",
              "247933  13.305801  79.148590\n",
              "79375   17.778591  83.366241\n",
              "299256  18.869030  78.749664\n",
              "308173  17.110107  81.838951\n",
              "146105  17.791092  83.371132\n",
              "291918  17.389446  78.494965\n",
              "311616  17.610483  78.322289\n",
              "99651   17.829748  83.326714\n",
              "218138  17.762243  83.399567\n",
              "87856   17.829699  83.315041\n",
              "98858   17.761873  83.379608\n",
              "313239  16.282066  80.749252\n",
              "272477  17.442999  78.557205\n",
              "66788   17.776155  83.357903\n",
              "223305  17.774525  83.370377\n",
              "186380  17.822906  83.342712\n",
              "99563   17.829748  83.326714\n",
              "99611   17.829748  83.326714\n",
              "27681   17.805683  83.364471\n",
              "190536  17.753576  83.312943\n",
              "275859  17.573004  78.441765\n",
              "233136  17.806791  83.350494\n",
              "229043  17.772511  83.398911\n",
              "11832   17.790249  83.379036\n",
              "227929  17.816999  83.394409\n",
              "195497  17.822350  83.332642\n",
              "5079    17.740051  83.321594\n",
              "242527  15.581550  80.103165\n",
              "140486  17.805698  83.369873\n",
              "220835  17.803976  83.330795\n",
              "102545  17.778933  83.379539\n",
              "63655   17.763214  83.391998"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2C-bhyG8JyMP",
        "colab_type": "code",
        "outputId": "c8fbc559-ed75-4e09-b175-4cba2549fd87",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 878
        }
      },
      "source": [
        "## Initialisation\n",
        "\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "\n",
        "#Range lat,long\n",
        "# [81.90110,12.56700] to [41.87190,95.45946] mean 21.6+-6 78.1+-5 \n",
        "latitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['latitude'].values\n",
        "longitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['longitude'].values\n",
        "\n",
        "#x0 = [[]]\n",
        "#for i in range(len(latitude_list)):\n",
        "#  llpair = \"[\"+latitude_list[i]+\",\"+longitude_list[i]+\"]\"\n",
        "#  x0.append(llpair)\n",
        "\n",
        "df = pd.DataFrame({\n",
        "    'x': latitude_list,\n",
        "    'y': longitude_list\n",
        "})\n",
        "\n",
        "df\n",
        "\n",
        "np.random.seed(200)\n",
        "k = 10\n",
        "# centroids[i] = [x, y]\n",
        "centroids = {\n",
        "    i+1: [np.random.randint(12,21), np.random.randint(77, 85)]\n",
        "    for i in range(k)\n",
        "}\n",
        "\n",
        "for i in centroids.items():\n",
        "  print(i)\n",
        "\n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "plt.scatter(df['x'], df['y'], color='grey')\n",
        "colmap = {1: 'red', 2: 'green', 3: 'blue', 4: 'black', 5:'cyan', 6: 'yellow', 7: 'pink', 8: 'magenta', 9: 'orange', 10: 'brown'}\n",
        "for i in centroids.keys():\n",
        "    plt.scatter(*centroids[i], color=colmap[i])\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(1, [12, 81])\n",
            "(2, [19, 81])\n",
            "(3, [18, 79])\n",
            "(4, [20, 78])\n",
            "(5, [19, 80])\n",
            "(6, [13, 83])\n",
            "(7, [19, 82])\n",
            "(8, [20, 84])\n",
            "(9, [18, 83])\n",
            "(10, [12, 80])\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DAECShvMYl1I+mOR7ktQkG0m+K8kPJOkkeTPJTyX5o7XWN/tUJwAwjj7/z5Prn03u/kpy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\nRK5CYII=\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MDFnh6Y2T1k0",
        "colab_type": "code",
        "outputId": "3ba26857-ffb5-4b04-f2da-0daf1c108099",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1051
        }
      },
      "source": [
        "def assignment(df, centroids):\n",
        "    for i in centroids.keys():\n",
        "        # sqrt((x1 - x2)^2 - (y1 - y2)^2)\n",
        "        df['distance_from_{}'.format(i)] = (\n",
        "            np.sqrt(\n",
        "                (df['x'] - centroids[i][0]) ** 2\n",
        "                + (df['y'] - centroids[i][1]) ** 2\n",
        "            )\n",
        "        )\n",
        "    centroid_distance_cols = ['distance_from_{}'.format(i) for i in centroids.keys()]\n",
        "    df['closest'] = df.loc[:, centroid_distance_cols].idxmin(axis=1)\n",
        "    df['closest'] = df['closest'].map(lambda x: int(x.lstrip('distance_from_')))\n",
        "    df['color'] = df['closest'].map(lambda x: colmap[x])\n",
        "    return df\n",
        "\n",
        "df = assignment(df, centroids)\n",
        "print(df.head())\n",
        "\n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "plt.scatter(df['x'], df['y'], color=df['color'], alpha=0.5, edgecolor='k')\n",
        "for i in centroids.keys():\n",
        "    plt.scatter(*centroids[i], color=colmap[i])\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "           x          y  distance_from_1  distance_from_2  distance_from_3  \\\n",
            "0  17.798819  83.368896         6.264022         2.656032         4.373526   \n",
            "1  17.798819  83.368896         6.264022         2.656032         4.373526   \n",
            "2  17.798819  83.368896         6.264022         2.656032         4.373526   \n",
            "3  17.798819  83.368896         6.264022         2.656032         4.373526   \n",
            "4  17.798819  83.368896         6.264022         2.656032         4.373526   \n",
            "\n",
            "   distance_from_4  distance_from_5  distance_from_6  distance_from_7  \\\n",
            "0         5.802606         3.576632         4.812977         1.821184   \n",
            "1         5.802606         3.576632         4.812977         1.821184   \n",
            "2         5.802606         3.576632         4.812977         1.821184   \n",
            "3         5.802606         3.576632         4.812977         1.821184   \n",
            "4         5.802606         3.576632         4.812977         1.821184   \n",
            "\n",
            "   distance_from_8  distance_from_9  distance_from_10  closest   color  \n",
            "0         2.289867         0.420188          6.706397        9  orange  \n",
            "1         2.289867         0.420188          6.706397        9  orange  \n",
            "2         2.289867         0.420188          6.706397        9  orange  \n",
            "3         2.289867         0.420188          6.706397        9  orange  \n",
            "4         2.289867         0.420188          6.706397        9  orange  \n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DYb3jELq9FlKSoKgjfLgKNm6DCfNgRz00NDR8qnt+ko0bN/JBGXTKgfxcmL0KFlfAn6bG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OswzYlIpbUR6c29B0lCpZd306ZNDBw40MZIwTCGAdciCfz1SCK7ex7wJ8iouW5ALY89dik//elP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\nQImxiIiIiAigxFhEREREBID/Dy8eMmgkuziCAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "inAcoLpGULKe",
        "colab_type": "code",
        "outputId": "e0461c6e-fb17-4cca-9697-ee5642b3ac69",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 705
        }
      },
      "source": [
        "## Update Stage\n",
        "\n",
        "import copy\n",
        "\n",
        "old_centroids = copy.deepcopy(centroids)\n",
        "\n",
        "def update(k):\n",
        "    for i in centroids.keys():\n",
        "        centroids[i][0] = np.mean(df[df['closest'] == i]['x'])\n",
        "        centroids[i][1] = np.mean(df[df['closest'] == i]['y'])\n",
        "    return k\n",
        "\n",
        "centroids = update(centroids)\n",
        "    \n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "ax = plt.axes()\n",
        "plt.scatter(df['x'], df['y'], color=df['color'], alpha=0.5, edgecolor='k')\n",
        "for i in centroids.keys():\n",
        "    plt.scatter(*centroids[i], color=colmap[i])\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "for i in old_centroids.keys():\n",
        "    old_x = old_centroids[i][0]\n",
        "    old_y = old_centroids[i][1]\n",
        "    dx = (centroids[i][0] - old_centroids[i][0]) * 0.75\n",
        "    dy = (centroids[i][1] - old_centroids[i][1]) * 0.75\n",
        "    ax.arrow(old_x, old_y, dx, dy, head_width=2, head_length=3, fc=colmap[i], ec=colmap[i])\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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tnU4GR4uotjr+cug7E6YXwohnUbPCjsqe73aIRjgK+9u1ESgEbsU2quOwUy8kZqkYi4i4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jLS0zGAJeXlbPb5cBgGnkgEbyRClsPBispKllRUsDUQoCAUYvuyZYf9eOWbNlGyRhZCJIM9k+MH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\nQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "G0tBpzCnUvAc",
        "colab_type": "code",
        "outputId": "e529f93d-e13c-4228-e049-466473ddb355",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 705
        }
      },
      "source": [
        "## Repeat Assigment Stage\n",
        "\n",
        "df = assignment(df, centroids)\n",
        "\n",
        "# Plot results\n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "plt.scatter(df['x'], df['y'], color=df['color'], alpha=0.5, edgecolor='k')\n",
        "for i in centroids.keys():\n",
        "    plt.scatter(*centroids[i], color=colmap[i])\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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XXngBgP49oDZCQWfoUwwvrID/+3uYeDRcPgn694aCvOa559e+9jVOGwn7a2HROhhcCp1z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9eu5YjsbEoTCbY3NTEvEsEC/G43Tek0ccsiz+NhZDiMDZxzzjn7fGylVMc1ZswY7Hhc1jxs2vT5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\n/wsRHRy9TjL7QwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-6cHwcHHVG6f",
        "colab_type": "code",
        "outputId": "2edd904c-625f-4d02-8d60-a055e02d28b7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 705
        }
      },
      "source": [
        "# Continue until all assigned categories don't change any more\n",
        "while True:\n",
        "    closest_centroids = df['closest'].copy(deep=True)\n",
        "    centroids = update(centroids)\n",
        "    df = assignment(df, centroids)\n",
        "    if closest_centroids.equals(df['closest']):\n",
        "        break\n",
        "\n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "plt.scatter(df['x'], df['y'], color=df['color'], alpha=0.5, edgecolor='k')\n",
        "for i in centroids.keys():\n",
        "    plt.scatter(*centroids[i], color=colmap[i])\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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PLj0J1m2Hx2dCQS706gxbdsOkBfDQFNhVA1OmTMl06ZJ0wJwxliTt1YfOHssZ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GAvsC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\nTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CZedv7eKVmxU",
        "colab_type": "code",
        "outputId": "7c625e4c-e7f7-4304-9e21-985b505e3972",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 139
        }
      },
      "source": [
        "import math\n",
        "for x,y in centroids.values():\n",
        "  if math.isnan(x) == False: \n",
        "    print(x)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "16.597411163085024   80.69868248370226\n",
            "17.367870738210453   78.45078046460176\n",
            "18.94522368058757   78.31417210758023\n",
            "18.7438444165892   79.33169128069352\n",
            "18.578996944793936   83.92287187805671\n",
            "17.77987386700723   83.34535717537419\n",
            "14.765580641658392   78.42130878407919\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HMUCYyBHXULM",
        "colab_type": "code",
        "outputId": "d0806fbf-e37d-44f9-d61e-4c008fd5ee73",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 260
        }
      },
      "source": [
        "import math\n",
        "for x,y in centroids.values():\n",
        "  if math.isnan(x) == False: \n",
        "    print(x)\n",
        "for x,y in centroids.values():\n",
        "  if math.isnan(y) == False: \n",
        "    print(y)   \n",
        "    "
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "16.597411163085024\n",
            "17.367870738210453\n",
            "18.94522368058757\n",
            "18.7438444165892\n",
            "18.578996944793936\n",
            "17.77987386700723\n",
            "14.765580641658392\n",
            "80.69868248370226\n",
            "78.45078046460176\n",
            "78.31417210758023\n",
            "79.33169128069352\n",
            "83.92287187805671\n",
            "83.34535717537419\n",
            "78.42130878407919\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8hCI2CnjtcLZ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        },
        "outputId": "46524d86-9e92-4dc9-bb99-c79710f2e8f8"
      },
      "source": [
        "#create lat,long list for each state\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "\n",
        "filter_states = ['AndhraPradesh','Pondicherry','Mizoram','AndamanandNicobarIslands','Meghalaya','HimachalPradesh']\n",
        "df_events_data = df_events_data[df_events_data.state.isin(filter_states)]\n",
        "\n",
        "keys = df_events_data['state'].unique()\n",
        "\n",
        "values_lat = []\n",
        "for istate in keys:\n",
        "  tlist = df_events_data[df_events_data['state'] == istate]['latitude'].values\n",
        "  values_lat.append(tlist)\n",
        "                     \n",
        "series_lat = pd.Series(values_lat,index = keys)\n",
        "\n",
        "values_long = []\n",
        "for istate in keys:\n",
        "  tlist = df_events_data[df_events_data['state'] == istate]['longitude'].values\n",
        "  values_long.append(tlist)\n",
        "                     \n",
        "series_long = pd.Series(values_long,index = keys)\n",
        "  \n",
        "#dict(list(enumerate(values)))\n",
        "#lat_dict = dict(zip(keys, values))\n",
        "\n",
        "series_lat['AndhraPradesh']\n",
        "\n",
        "#Range lat,long\n",
        "# [81.90110,12.56700] to [41.87190,95.45946] mean 21.6+-6 78.1+-5 \n",
        "#latitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['latitude'].values\n",
        "#longitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['longitude'].values\n",
        "#state_list"
      ],
      "execution_count": 94,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([17.798819, 17.798819, 17.798819, ..., 18.151226, 19.411106,\n",
              "       17.447607])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 94
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4EiSgVZBYaIi",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 69
        },
        "outputId": "13a59da9-f04b-418e-a597-68bf72557120"
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "\n",
        "#Range lat,long\n",
        "# [81.90110,12.56700] to [41.87190,95.45946] mean 21.6+-6 78.1+-5 \n",
        "latitude_list = series_lat['AndhraPradesh']\n",
        "longitude_list = series_long['AndhraPradesh']\n",
        "\n",
        "#print(latitude_list)\n",
        "\n",
        "df = pd.DataFrame({\n",
        "    'x': latitude_list,\n",
        "    'y': longitude_list\n",
        "})\n",
        "\n",
        "df.sample(10)\n",
        "\n",
        "from sklearn.cluster import KMeans\n",
        "\n",
        "kmeans = KMeans(n_clusters=10)\n",
        "kmeans.fit(df)"
      ],
      "execution_count": 98,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
              "       n_clusters=10, n_init=10, n_jobs=None, precompute_distances='auto',\n",
              "       random_state=None, tol=0.0001, verbose=0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 98
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VQ_DgE3fYfOy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "labels = kmeans.predict(df)\n",
        "centroids = kmeans.cluster_centers_\n",
        "#len(labels)\n",
        "\n",
        "centroids[:][:]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oZGqoVMkL4AS",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for i in range(len(centroids)):\n",
        "  print(centroids[i][0],\",\")\n",
        "print('\\n')\n",
        "for i in range(len(centroids)):\n",
        "  print(centroids[i][1],\",\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wUoJbZl2M3Hv",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 72
        },
        "outputId": "5fb90bec-a67c-4b31-dc38-42e03e7b0f9e"
      },
      "source": [
        "import gmplot\n",
        "gmap4 = gmplot.GoogleMapPlotter(16.5937, 80.9629, 4.5)\n",
        "#gmap4 = gmplot.GoogleMapPlotter(28.7041,77.1025, 4.5)\n",
        "\n",
        "#latitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['latitude'].values\n",
        "#longitude_list = df_events_data[df_events_data['state'] == 'AndhraPradesh']['longitude'].values\n",
        "#latitude_list = [16.597411163085024, 17.367870738210453, 18.94522368058757, 18.7438444165892, 18.578996944793936, 17.77987386700723, 14.765580641658392]\n",
        "#longitude_list = [80.69868248370226,78.45078046460176,78.31417210758023,79.33169128069352,83.92287187805671,83.34535717537419,78.42130878407919]\n",
        "\n",
        "latitude_list = []\n",
        "for i in range(len(centroids)):\n",
        "  latitude_list.append(centroids[i][0])\n",
        "\n",
        "longitude_list = []\n",
        "for i in range(len(centroids)):\n",
        "  longitude_list.append(centroids[i][1])\n",
        "\n",
        "print(latitude_list)\n",
        "print(longitude_list)\n",
        "\n",
        "gmap4.heatmap( latitude_list, longitude_list )\n",
        "#gmap4.scatter( latitude_list, longitude_list, '# FF0000', \n",
        "#                              size = 40, marker = False )\n",
        "gmap4.draw(\"/content/gdrive//My Drive/capstone/ap_hm.html\")\n",
        "#import os\n",
        "#os.system(\"/content/gdrive//My Drive/capstone/ap_hm.html\")"
      ],
      "execution_count": 152,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[17.79381011976898, 15.822862570315161, 18.871046433727322, 17.382143942935905, 14.221047307175457, 16.746887419397133, 41.871899, 14.623886519036077, 16.185633619491973, 17.467380945839388]\n",
            "[83.3592046499188, 77.85782232141646, 78.86256257704413, 80.08211536374911, 79.31042450240865, 81.58553958565811, 12.567400000000006, 77.6145849508434, 80.27423187550926, 78.43082053565756]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4RiWTXRVYjno",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 705
        },
        "outputId": "335d7bcb-54a4-4b2f-9cee-93761b86a1ee"
      },
      "source": [
        "fig = plt.figure(figsize=(12, 12))\n",
        "\n",
        "colors = list(map(lambda x: colmap[x+1], labels))\n",
        "#colmap = {1: 'red', 2: 'green', 3: 'blue', 4: 'black', 5:'cyan', 6: 'yellow', 7: 'pink', 8: 'magenta', 9: 'orange', 10: 'brown'}\n",
        "plt.scatter(df['x'], df['y'], color=colors, alpha=0.5, edgecolor='k')\n",
        "for idx, centroid in enumerate(centroids):\n",
        "    plt.scatter(*centroid, color=colmap[idx+1])\n",
        "    plt.gca().add_artist(plt.Circle(centroid, 0.5, color=colmap[idx+1], fill=True))\n",
        "plt.xlim(12, 21)\n",
        "plt.ylim(77, 85)\n",
        "\n",
        "\n",
        "\n",
        "#plt.Circle(((centroids[0][0]),(centroids[0][1])), 2, color='green', alpha=0.5)\n",
        "#ax.add_patch(plt.Circle((1, 1), 0.5, color='#00ffff', alpha=0.5))\n",
        "#ax.add_artist(plt.Circle((1, 0), 0.5, color='#000033', alpha=0.5))\n",
        "\n",
        "#Use adjustable='box-forced' to make the plot area square-shaped as well.\n",
        "ax.set_aspect('equal', adjustable='datalim')\n",
        "ax.plot()   #Causes an autoscale update.\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 131,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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d2mVL0jY5x1iS1GJ1dXWccMKRrFv3EkVFjSxbFo+F7tkznnb3yU/GFos774Ti\nYnjpJaio6LjvO5I6r5bMMTYYS5JabfPmzSxYsIBRo0bRq1cvQohtEyUlsce4sRFWrYKO/J4jqXNr\nSTC2x1iS1Go9e/ZkwoQJ9OzZkyRJmDbtRfbc8xh+9asXefvthHfeSQzFkjKePcaSpDY3YcIEnnji\nibTLkKSd4oqxJEmShMFYkiRJAmylkKQcVQ6sBN4B1gG1QAJ0AXoBQ5puvQGPo5MkMBhLUg4oB6Y1\n3Z4EZgM1QDHxF4ONxFAMMQTnNb1f3fTnPsBRwETgcGBgB9YuSZnDYCxJWakceBi4Hfg70BWoBOo/\n9Dlbm/lc84DXgTuIgXoUcDFwGrBL25QrSVnAHmNJyirLgSuAAcBlwBPEMLuFj4binZU0PUcNMAv4\nOrA7cBzwYiueV5Kyh8FYkrLCAuAEYDTwW6CK5q8It0QlMSQ/ARwN7A883o7Xk6T0NSsYhxCuDiG8\nHkKYF0K4J4RQFEL4QwhhUdN9vw0hdGnvYiWp89kEXAmMBx4j9gXXdeD1E2JIngt8lhiSl3Xg9SWp\n4+wwGIcQdgW+DJQlSTIGyAfOAv4AjAT2I+7wuLQd65SkTuhuYDixj7iKuIkuTZXAc8Qv+1+nYwO6\nJLW/5rZSFADFIYQCoARYlSTJo0kT4BXi3B9JUquVA2cCnwc2E1eJM0UDMaT/lLiKvSLVaiSpLe0w\nGCdJ8g5wI/AWsBrYnCTJ++d8NrVQfA7427YeH0K4LIQwPYQwfd26dW1TtSTlrDnEX8Y9RFyhzVSV\nwHzi6vF9KdciSW2jOa0UvYGTiduTBwOlIYTzPvQpvwD+kSTJ89t6fJIktyVJUpYkSVn//v3bomZJ\nylFPAYcRD+XIpFXi7Wkgrm5fAHw/5VokqfWa00pxNLA8SZJ1SZLUAfcTv3ITQvgm0B/4SvuVKEmd\nwd3ENYiKtAtpgUrgBuBLpN8HLUkt15xg/BYwIYRQEkIIwGRgQQjhUuBY4OwkSfxKKEktdgtx/3Im\nt07sSCVxk+A5GI4lZavm9Bi/TGwgm0mc15MH3Ab8knhu6IshhFkhhOvbs1BJyk1/AL5K3NCW7SqA\nvxIPIEl28LmSlHmadSR0kiTfBL7ZksdKkrbnH8TJE7kQiv+pkhj29wS+lnItkrRzPPlOklKxBDiR\n3ArF/1RJdfV1wANpFyJJO8VgLEkdbhMwifY90jldRUUJlZWfBV5LuxRJajaDsSR1uK8A68n1Ptyi\nooTy8uOB+rRLkaRmMRhLUod6FbgXqEm7kHaXlwf5+auZOvXMtEuRpGYxGEtSh2kAzic3+4q3rbgY\nxo27n+rq5WmXIkk7ZDCWpA4Jxq4AAAAgAElEQVRzC/B22kV0uC5doLLyorTLkKQdMhhLUod4F/g6\n2XmyXet06QK9er0MPJN2KZL0sQzGktQhvgTUpV1EavLyqoELgdqUK5Gk7TMYS1K7exV4BEPhRuCn\naRchSdtlMJakdnczUJ12ERmgAvgJuT6mTlL2MhhLUruqBP4MNKZdSIZ4D3gl7SIkaZsMxpLUru4H\n8tMuIoNUEqdzSFLmMRhLUru6GShPu4gM0ghMoTPNcpaUPQzGktRu3gTmpl1EBsoHHki7CEn6NwZj\nSWo3v8GNZtuylbiSLkmZxWAsSe0iAW4FatIuJEPNojOeAigpsxmMJaldrMDe4o9TAPw97SIk6SMM\nxpLULmYTw5+2rQKYnnYRkvQRBmNJahevEcOfti0BXky7CEn6CIOxJLWLaUBD2kVkuAVpFyBJH2Ew\nlqR24Zi2HasF3k27CEl6n8FYktpcObAx7SKyQBGxF1uSMoPBWJLa3FygOO0iskAVcWybJGUGg7Ek\ntbk5QH3aRWSBWtyAJymTGIwlqc2tJ66GasfWpF2AJL3PYCxJba4Sj4JuLk8GlJQ5DMaS1OacX9x8\n1WkXIEnvMxhLUpszGDefK8aSMofBWJLanF9am8+/K0mZw69IktTmuqVdQBbpmnYBkvQ+g7EktbnS\ntAvIIgZjSZnDYCxJba4Yv7w2V1HaBUjS+/zKLUltblegJO0issQeaRcgSe8zGEtSmxsLhLSLyALF\nwIS0i5Ck9xmMJanNjcST75qjkPhDhCRlBoOxJLW5rsR2Cn28SmC/tIuQpPcZjCWpXRyYdgFZoGfT\nTZIyg8FYktrFocRWAW2fq8WSMovBWJLaxQE4iuzj5BF/eJCkzGEwlqR2sT9Qk3YRGawUGJd2EZL0\nEQZjSWoXg4DhaReRwWqByWkXIUkfYTCWpHbzJTzoY1sCcCzQK+1CJOkjDMaS1G7OARrSLiIDdQO+\nmHYRkvRvDMaS1G56A8ekXUQGKgSOSrsISfo3BmNJalf/AXRPu4gMUghcAuSnXYgk/RuDsSS1q2OA\ngrSLyCB5wOfTLkKStslgLEntKp+4QuphH9FIYETaRUjSNhmMJandXYmtAxBnF/9X2kVI0nYZjCWp\n3e0OXE3nHt2WRzwC+rS0C5Gk7TIYS1KH+G+gR9pFpKgrcAdxhrEkZSaDsSR1iGLgt3TOVeMS4tzi\nfdIuRJI+lsFYkjrMp4GJdL4pFd2A/0m7CEnaIYOxJLWxSy65hP79+3PiiSdu46O30bkmVJQCv6Zz\nrpRLyjYGY0lqhXfffZfu3QNDhwb23juwxx6BP//5t9TVrefhhx9mt90Cf/7znz/0iN2I/cadISgW\nABOAbf2AIEmZx2AsSS100UUX8YlPDOK88+CGG+DWW+HKK+Gzn4WGBhg1Cvr3h+uuO428vMApp5zS\n9Mj/AxxA3JCWy3oBd6VdhCQ1m8FYklro4Yfv4LDDYMwYGDYMCgvhwANh6VI44gi47TZ4+mn4f/8P\njjoKHnzwwaZHdgEeBQaRu1+GS4GngV3SLkSSmq2z7QCRpDbx1FNP0bcvDBwIGzfCggUxGO+2G+y5\nJ7z7LsyfD717wzHHQH09rFgBIQSSJAF6As8BBwKb0nwp7aAYmALsn3YhkrRTcnWpQpLa1cyZM1m2\nDF5/HUKIK8JHHBHD77p1sN9+8fbUUzBjRlxJ7t79X59lOPAUcXU1V5QANxMncEhSdjEYS1ILXHvt\ntdTXw9atcPTRMGBAXB0ePx722SeG5UGD4Oyz4R//gFmzoLx8W880HvgbuRGOi4HvAJemXYgktYit\nFJLUCgMGwBtvwFtvQX4+DBkChxwCd94ZP967N2zYADfdBJs3b+9ZDgemAkcBm4HGjii9jRUDvwHO\nTrsQSWoxg7EktUJjI7z3HuyxB/TqBUVFMGdOfPtvf4u9xU8+CWvXxs//yle+sp1nOgCYCXwSWAvU\ndkj9rReI7RMPApNTrkWSWsdWCklqhddfj5vv+vWDmhp4/nlYsgTGjYMRI+DttyFJYO5cOOww+PGP\nf/wxzzYcmA1MIjtaK4qB3YFXMBRLygUGY0lqoR49Yi9xeTk89xy89hqsXg2DB8ODD8IvfhHf79sX\nevaEk06Kj/l4fYDHgP8lBs/Qzq+ipUqIbRPzgNEp1yJJbcNWCklqoUGD8igubuSKK2Lgra+PB3o0\nNMQpFT16wLJl8fCPEKCuLrZe7FgAvggcCZwPLAYq2u+F7JQSoDvwKzzRTlKuccVYklqoT58D2LgR\n/v732FPcr19sm5gxAzZtin/uuSdMmhR7jB98EGpqujTruc8//3zGjJnA6NGvccEFFbz3HlRVtfML\n+lhdiCvY1wDLMRRLykWuGEtSC/3xj39h/Phh/PznUFsLBx0UV4hvvRXmzYPRo2NbxXe/G0/Ae+UV\nqK3d8aa6/fcfTp8+bzJxYlxpnjoVjj8eTj8dLrwQunbNp6Skof1fIBDDMMBFwHXAkA66riR1PIOx\nJLXQ0KFDWbRoA0cddRTXXz+bgQOhurorxx13OU8++RPOPvts/vd/7wVgr732orx88Q6fs0+fPowe\n/R433BA37515Jlx0EZx8cmzFuO8+WLy4gWuu6cOAAVVAAlS38SsrAIqIofhq4AtArza+hiRlHoOx\nJLVCnz59mDVr1jY/ds8993DPPfc0+7lOOeUUunZ9j5NOiuPfHnggHjF94onQrVtclb70Urj2Whg5\nciNr1iygsPAB4LfACmKQrQB2bjW5sRHy8noAdUA34BzgXKCMzN38J0ltz2AsSRmgoaGBJ598kMGD\n4ZFHYn/yO+/EYPzEE3FW8jHHxNaM/faLx0v/7//+ieuvvx74OrCRODbtBeAZ4C1gPVAPFFFf30hV\nVRUhJBQUxMNINm8uoLh4D0pLPwVMBCYQWyUMw5I6J4OxJGWASy89k4MPhrPOgk9+MvYod+0ax8BN\nnhxHwj36KOy/P8ycGVeQFy/+cGtGH+C4ptu3PnT/VmAtBQX1dO/eSNxE1wvoS79+BmBJ+jCnUkhS\nyhYsWMC8eX/m8MNjT/GmTbDrrjB8OIwdC7/7XRwDN2gQXH993MTX0AA33nhjM569O7AnsA8wChgB\n9MNVYUn6dwZjSUrZc889x8iR8RCQRYtiMM7Li+0SQ4fG9x96CF56CR5+OK4eL1oEgwYNSrt0Scop\nzQrGIYSrQwivhxDmhRDuCSEUhRC+GEJYGkJIQgj92rtQScpVu+66K5s3x1FvW7fGmciVlbGfeMMG\nmDAh9hXPmxd7g48+GgYOTLtqSco9OwzGIYRdgS8DZUmSjAHygbOIOzyOBt5s1wolKccdf/zxzJkT\nDwF56qkYgKuq4Cc/gVdfjSfoPftsXDmeNSuG48LCwWmXLUk5p7mb7wqA4hBCHfE80FVJkrwGEIJ9\napLUGvn5+fTsuT/z5s2hb1947bW4SlxaGg8JmT8/9hwXFMBNN8W2imnTXk67bEnKOTsMxkmSvBNC\nuJE4+6cKeCJJkifavTJJ6kTOOuss5s6dw+uvw7hxcY7xCSfEVeL58+Fvf4P16+Hb3473DRniCXSS\n1NZ2GIxDCL2Bk4HdgU3AlBDCeUmS/L45FwghXAZcBvGUKElStGzZMn7+05tY8+Y8evYbymuvdaG+\nvo5Fi2D58ngUdO/esGQJLF4MEyfClCmQJEmrrrtkyRJ+/vObWL16EUOH7sdll/0HSZLw0ksvUVdX\nx+jRoznkkEPIy3N/tqTOJezoC2wI4XTguCRJLml6/3xgQpIkVza9v4LYf7x+RxcrKytLpk+f3uqi\nJSnbPfvMM3z5khM5ZlQl++0G6zbDfa/C/HdjT3G/flBYCJs3w5YtcVTb+vXdWbFiA126dGnxdZ9+\n+mm+972zOOyw9QwfHnua//53KCqCPfeEffeFTZsGU1x8KD/4wR1069at7V60JHWgEMKMJEnKduYx\nzekxfguYEEIoIbZSTAZMt5LUQlu3buWCc07igkMr+fKx0KsUaupg393g2nth6pw4jeLhh+H++2H4\n8KO555576NevdQOAGhsb+clPrubSS9ezxx7xdL3dd49tG4MHx0kYPXrA2LGrePbZF/npT7/Pddd9\na8dPLEk5Yoe/J0uS5GXgPmAmMLfpMbeFEL4cQlhJPD90Tgjh1+1aqSTliJt+9AO6F1Rw7P7Qtzvk\nBygphKPHwJA+8Ne/xtXbq66CK6+EN974R6tDMcDKlSupqVnK0KExeM+dC8ceGw8S+eQn4YIL4O23\n41SMESNW8eqrf2n9i5WkLNKsqRRJknwT+Oa/3H1z002StBP++sdfkCRQXfuhOwM0NkJdHXz1S7DX\nXnEyxW67Qdeutdt9rp3xj3/8g82bq6ipgccegwED4rSL+vq4elxZGVsqHnwwBvMFCxbv+EklKYe4\ns0KSOtATTzxB5daNbNgK974E71VACNDYAH+YBqs2wXmHwpeviJ//wguwdm3Le4o/7MILP8eSJXFl\n+J/HSuflQXExlJXBPvvAkCHxMJFu3aCxsY7a2rYJ5ZKUDQzGktSBjj/+eNZvgfw8+Pt8uOAW+O8/\nwcW/gt88B0UF8B/HQePWOLP4zjuhpia/1dddvHgx/fpB375w8MFw0UVxY99LL8W+4iFD4tzkuXPh\n4ovjSvXQoXFyhiR1Fs094EOS1AYaG+spCFBRA0N6w/x3YNEaCAn0KIYTDoRfPglbK+Fb34ozi0f0\nq271dRcvXkxjI1xxRQzGGzfCMcfAf/93HA3Xt29cRf7Up+JmvHnzYmvHqlWrGDVqVBu8cknKfAZj\nSepAeXkFVNbXc8YEeOUNSBL43KFQXASHjoADh8GT82D5Wli6GrZuhdqG1l/3hBNOYPBgOPlk6NMH\nbr0VDjgAxo+PEynefReGDYsfTxJYswbeeAPOOOMMNmzY0PoCJCkL2EohSR3o3nvvZWg/uPozcPS+\n0Lsb3P48vPMe1Cfw0Gvw9kY4bC8Yvzt06/Ivm/RaobERystj68TJJ8M998DMmXDffTB7dtyE9/zz\n8LOfxeAMsHHjxra5uCRlAYOxJHWgU089FYCuBTB8AOzRHy49Eob2gZXroX93GDcMSopgYxVsroZj\nTjm31detqalhxQq466646W7vveM4uGHD4NFHYzBesgRuuAF+8AMYPRpKSqCkpKTV15akbGErhSR1\nsPLGHvz51S30KIYE6FEaN91NHBU35S1fF/98cx2MHTuW3//+962+ZteuXamuhj/9CRYuhAMPhEWL\nYM6ceJDI1q3wk5/A2rVw6qlQVQXz58P06f9o/QuWpCzhirEkdbBf/PpP/PrZwBNzYHMlvLYcZr0Z\nb2+th9dXwj8WwNubuzJr1qw2u+4ZZ5xLYyO8/npcJZ46NR4gsvfeMHJkbK8oKoJXX4UHHoDPfOYz\njB8/vs2uL0mZLiRJ0mEXKysrS6ZP9zRpSVq5ciVnnHEGyxe+yh796hnYE94rhy3VUF0Hq7aW8O66\n9ygsLGzT615yySXceedv2Wef2Gu8dm38s7ExbrhbuzZ+3oIFCxg5cmSbXluSOlIIYUaSJGU79RiD\nsSSlJ0kSli5dytX/+Z88+dRTFBYW8tRTT3HIIYe063Xr6+tZsmQJpaWlDBo0CIAtW7a0ydHTmWjT\npk3813/9F8XFxXzjG9+gT58+aZckqZ0ZjCVJ+heTJ0/mmWeeafbnd+T3RUntpyXB2B5jSWoHL7zw\nAiGE928vvPBC2iV1Sj/60Y92KhQDnHjiie1UjaRM54qxJDVX0gjVa6FyZbxVr4aGGkgaIBRAl25Q\nvCtjDvk0AdhzIBwwFKbOhVffgC2NHzzV66+/zujRo1N7KZ1F9+7dKS8v3+nHuWosZb+WrBg7rk2S\ntqe+At59FtZNhTVPw6Z5EALkFQIJNNbFUJwkEPIgFLC1oopp/wMlhXET3bQlQIA9h8Kry2DJWhg3\nCP6/yfuyYmMhNTU1O13WSy+9xKGHHgrAiy++yIQJE9r0ZeeSloRiSZ2XwViSPqy+At55GN64Hd59\nDvK6Qn058KHl3oaqf39cAlBD96IP7uqWD5/aD44cBTX1UJgPryyD7z0I138abri/lvnz5+/UynEI\ngX12iW+XdIXLzjiUuoY40eKTnzqNKVOmtOBF56YQQtolSMoyBmNJAqh8BxbcCEtvg5AP9Vvj/Y07\nv6L7rwoL4g3gE/vAlP+ELvmwtQrKDtyXypp//7X9Y489xumnn05FRcX79/UuhpEDYekaGLkLHLQn\n9CiOh4G8vQHmTbuPz33uc9x1112trjnbGYoltYTBWFLnVvEWvHYNrHwIaITG2na9XF6A0q7x7QuP\ngHM+Acz5Hxh9LRTE45f79+/PLkXrOX18PDr6+QWweC0M6AVLV0NJMYzZDc44BPbeBVZuhMdmw7ub\n4YXHfw907mBsKJbUUgZjSZ1TfRXM/15cJW6sg6S+w0so6hJvLPghLPkFHPQL/jitnkHF67n5fJg4\nEu57CRa8A4ePgrFD43HRD82Acw+Do/aF+kYY2BN6lsCsFVDgrCFJajGDsaTOZ83T8MI5sXd4W/3C\nHa2hMt5eupDhSyo5cRwcMSq2R9z7Mpw8Hj57cGzHaGiEvy+AQb2guDD2Ltc3wJA+cbNfVV3aL0aS\nspfBWFLn0VgHs66Lq7OZEIj/VX0F44bFEW+3Pg0/fxIqa2BIb7jzeQjE1eHuRfDysjgOrncpVNXC\n9DdgQ3lsq1DrnH322WmXICklBmNJnUPlSnjueNi6NDNDcZMuTV+VLzwCDt4Tbn4cirrC8P4wblhs\npcjPg6mLYhtGv+7wXiU8PTc+zk4KKC4upqqq5f/G559/fhtWIymbGIwl5b7N8+GpI6D2vTh3OAsU\ndYEDhsP1n419xIX58OZ6OG4szHoT7poKtXXQtzus3QLlVbDPINhUscOnznmtCcVjx47luOOOa8Nq\nJGUTFxck5bZ1L8DjE6BmQ9aE4n/KCzC0HwzvF/uH126Bh1+LfcXdi2LbRM+iuEnvlDLYZzAUd027\n6ux12mmn4emsUudmMJaUu9Y8Dc98qmkmcXYe8VuQF2ce7zkw9htvqYw9x589CCaPgTVbYMIIKCmC\ngb1iv3FnN3DgwJ1+zF577cWUKVMoKPAXqVJnZjCWlJvWvwx/PylOe8hyIUB+aFoV3iX2FE8eA/91\nMozaFR6YAf26wfot8dCQzu673/3uTj9m8eLF7VCJpGxjMJaUe8qXw7PH5kQo/qe8vDiebWAvOGRE\nPPFuUyWMGQKLV8eV5EdmwQOPPJV2qam7+OKL+cUvftHsz99zzz3bsRpJ2cRgLCm31G6CpyZ9cKRz\nDiksiPOK99sNKmriSXeLVscjor/zIFz0lf/H5MmT0y4zI3zhC18gSXbcPrNs2TKWLl3aARVJygY2\nU0nKHUljHMlWvSa+nYMKC6BPaTzU48XF8NBM6D/icB555BF69OiRdnkZpznhWJL+yWAsKXcs+zW8\nNxsaa9KupF0V5EPfbvC7aYV89Tt3cdoZZ6RdUpvYuHEjL7/8MkuXLmXFihUsWbKElStXUl1dTWNj\nI/n5+XTr1o1hw4ax1157MXToUPbdd1/Gjx9PcXFx2uVLygEGY0m5oXo9zPw/0NA5Bvnm58Ffvl1G\n3qdOT7uUFquoqODRRx9lypQpTJ06lQ0bNlBUVERNTQ01Ndv/4eaVV14hhEBxcTEFBQVUVVUxfPhw\njjrqKM4880wmTpxIfn5+B74SSbnCYCwpN8z8z5xfKf6wgnxg02x4+34Yemra5TRbQ0MDjzzyCL/8\n5S955plnKCwsZOvWD/rBa2ubN28uSRIqKz/YXLlkyRKWLVvG3XffTQiBU089lSuvvJKysrI2fw2S\ncpeb7yRlv3UvxoDY2MmG+DZUwCuXQV3mbzSsqqrilltuYejQoZx77rk89thj1NTUfCQUt1ZjYyNb\nt25ly5Yt3HnnnRxxxBGMHz+ehx9+mMbG3Ow5l9S2DMaSsltjPbx4PjR00gG+DVUw+xtpV7FdDQ0N\n3HLLLQwaNIhrrrmGVatWUV5e3u7XbWxspLKykpkzZ3L22WczYsQInn766Xa/rqTsZjCWlN0W3QxV\nq9OuIj0NVbDsV7BpXtqV/JupU6cyatQorrnmGrZs2UJFRTr93+Xl5SxfvpyTTjqJT3/606xYsSKV\nOiRlPoOxpOxVtwXmXN9pNtxtV0MNvHJF2lW8r7q6mssvv5xjjz2WJUuWpBaI/1VlZSVPPfUU++67\nL7/85S8d5Sbp3xiMJWWvN/8EIe0iMkECG2dAxVtpF8LChQvZb7/9uOuuuz6yOS5T1NfXU1lZyVf/\nf/buOzyqMnvg+PdmkkmvJCGEFnovCkpTqSsquiC2tWDHBRvrrrqi7orlZ19XRFRUVHBZFVAUQQWU\nXgQj0qWE3tNJnSQzc39/nKDoAglhMndmcj7PM0/azL0nEWfOnHve8/7tb1xxxRXk5+dbHZJSyodo\nYqyU8l/bXgOnb1QjrWfCzvcsjeDTTz+lW7du7Ny5k9JS3+75Pl49btOmDVu2bLE6HKWUj9DEWCnl\nnwq2Q5Fu5fsLdxlkvAUWtQdMmDCBESNGUFJS4jctCmVlZWRlZdGzZ09WrFhhdThKKR+gibFSyj9l\nvCMTKdSvnMWQtcyrpzRNk4cffphHHnnE56vEJ2OaJoWFhVx88cV88cUXVoejlLKYJsZKKf/jdsGu\nyWBWWB2Jb3EWw/aJXj3lQw89xBtvvOGT/cRnoqSkhOuvv57Zs2dbHYpSykKaGCul/M+Rb7VafFIm\nHPwSKmp/TjDAiy++yJtvvukzUyfOVmlpKddffz3Llnm36q6U8h2aGCul/M+OieD0/d3eLGHYYP+n\ntX6aWbNmMW7cOL+vFP9eSUkJl19+ORkZ2r+uVF2kibFSyv9kLrU6At/lLIJDX9fqKdLT07npppv8\nsqe4OoqKiujfvz+5ublWh6KU8jJNjJVS/sWRBS6H1VH4ttz0Wjt0fn4+l1xyScBVik/kdrvJzMxk\n2LBhfjNhQynlGZoYK6X8S/56sIVZHYVvK95Xaz3YDz/8cMD0FJ9OeXk5a9euZebMmVaHopTyIk2M\nlVL+JW8DuALzEr7H2MKgcLvHD7t27Vr+85//4HDUjYp9cXExf/7znyks1H52peoKTYyVUv4leyW4\ny62Owvflrffo4dxuNzfffHOdSYqPczgcjB071uowlFJeoomxUsq/5K61OgLf5yyC3B89esi3336b\nPXv21Lme29LSUt577z02btxodShKKS/QxFgp5T/cFVBywOoo/IAJ2as8drSsrCweeuihOtFbfDIO\nh4Obb74Zt9ttdShKqVqmibFSyn8UbNeFd9V17GePHWrMmDFUVNTdXQZN02THjh188MEHVoeilKpl\nmhgrpfxHeS4Y+rRVLS7P7H63Z88eZs2aRVlZmUeO56+Ki4t55JFHtGqsVIDTVxillP/Q+cXV53aC\nB/qBJ0+eXOf6ik/F4XCwZMkSq8NQStUiTYyVUv7D5QA0SaseA8yzm2XsdruZNGlSna8WH1dUVMTE\niROtDkMpVYs0MVZK+Q+3Q/Pi6jJsZz3vecmSJQG77XNNmKbJ3LlzKSgosDoUpVQt0cRYKeU/DBsY\nVgfhL0wwgs/qCG+88UadnURxKjabjRkzZlgdhlKqlmhirJTyH0FhaGZcTaYTgkJr/PDCwkLmzJmj\n/cW/U1xczPjx460OQylVSzQxVkr5Dx3VVn2GDYJsNX749OnTsdlq/vhAlpGRwfbtnt9yWyllPU2M\nlVL+QxPj6jvLNopJkyZpG8UpOJ1OPvzwQ6vDUErVAk2MlVL+I7IJuMutjsI/hCXX+KGmabJp0yYP\nBhNYKioqWLx4sdVhKKVqgSbGSin/Ed4Q7TGupvhzavzQffv2eTCQwLRlyxarQ1BK1QJNjJVSllu4\ncCHnnnsuhmFgGKdJfA0DYtp4LzB/ZYRAYq8aP3z9+vWEhIR4MKDAU1RURG5urtVhKKU8TBNjpZRl\npkyZQpN6Bo+MHEjIsZ9IqwcNYiEp6jQJcmJP7wbpj4IjIL5rjR/+008/aX9xFcLDw9m4caPVYSil\nPEwTY6WUJSZNmsT/PXIrjw6FBWPh27Hwj6sgPhLuGwxdm8AVV1zxvw9MOA9skd4P2J+4yyC+S40f\nvnLlSlwulwcDCjxlZWWsX7/e6jCUUh6mibFSyhIP3D+Kfu3groEQGQpR4XDbRfCHTrB8B9x7MaxZ\nOocWLVr89oHxnc9qDFmdYARDWEqNH75hwwYPBhOYHA4H33//vdVhKKU8TBNjpZTXtWvXjvIKaJuK\nbNBmQIUT1u+Vz3cegZ6tICUWDuzd9dsHx3YAZ4klcfuNmLbyh6yB4uJisrOzPRxQYEpPT7c6BKWU\nh2lirFSAOXToEFdeeSUDBg/+ZTGbYRiEhfnGDOA777wTCrfiNuGTVXDVqzDiTXjgP7BxP9SLggva\nwHtLoLQcIuwwcuTIXw9gC4PwBtb9Aj7POKs+7B07dhAREeHBeAKXTu9QKvBoYqyUB7hcLq6//noa\nNmnCZUOGUFpa6tXzZ2dn07FPH4yUFBp26MDne/eyqKQEunWDzp2hRQvKEhMxgoPZvXu3V2P7vY+n\nTqa4BAZ3hr9cCi/eAO1TISVOqsYFDrijH9gM2J8D+aX87yXrpn+CILsl8fu84Ehocm2NH15cXHz6\nySDqF+Xl5bpltlIB5uy2RlKqjjt27Bj/ePJJJsyYAfXrQ8+eHDpyhIg2bWgbGUlmZiYvv/wyt912\nW63G0eniiznSrBkcOSKJcFQUhIbCoEGQlgb79sGmTbBjB83PO4+yQ4ew261JLBOiIdgGN/SGTo1h\n0Rb4YRckRsO6PdCzJcz5CfblQMN42JkF/fr1++1BWtwJ21+3InzfFxwFSRfU+OEOh8ODwQQ2wzBw\nOp062k6pAKIVY6VqqKSkhIE33cSEPXvg4YfhuusgPx+KiiA1la3FxeS2a8ft48dj1OIL59dff83R\nuDj45htJzps1k9s993Mp1X0AACAASURBVEDDhhJPkyYwYgSccw4MGMDXX39da/FUZX+uTJ7o1RI+\n+wGKHdC3LfRrB13SoGECjLsK7uwHsZXDJ/r27fvbg8S0huhW3g7d9wWFQstRNe4vBpm2oFXQ6rHZ\nbPpGQqkAo4mxUjX0+Rdf8GNoKPTtKwlpbCy8/DJccw188gmMGQNZWfD++3DxxdhstTNJYenSpZil\npZCSAmFhMGwYOJ3QpQtcdJFUjktKJL5jx6BPH+YuXVorsVRXaDD8fAjiIuDK7tA0Cc5vCbf3lfaJ\nQgfUj4UGcRAbDldfffX/HqTN/VIdVScwoMXtZ3WE8nLdcru6goKCKCsrszoMpZQHaWKsVA1N/+Yb\nqcgGB8OhQ9CxI3TqJNXa/Hy47z5o1w6++AJuvRV3kya1EseAAQPg++8l+W3eXJJfgBdfhMJCaNRI\nvldRAU2bQkEBjoKCWomlulJi4Z3F0KI+NEmEcDtkF0iPcf04mLceisrAbULYqRq+mlwLbqc3w/Z9\n8V0hsvFZHcJut2uPcTW53W5CQ0OtDkMp5UGaGCtVQ4d27gSXC849F2w2iI+XH+Tmwv79sGYNJCfD\nxo3SyhBZO5tSPPnkk5Kc9+4Nl14qFewxYyAuDt57Dw4flqR51izpN16yhKYpNZtxm5+fz9y5c8nP\nzz+rmI+VQtsGsGI7TF8tSfHhfDBNyC+G5FjYdgj2ZIHjVLlvSDQ0HAJoEgdAcDS0ue+sD+Mr00v8\ngcvl0r+XUgFGF98pVUO7tm6VForUVPnGgQOwezcsXw6XXCIV2r17oUMHWLpUfl4LVqxYAW3awIAB\nkJkpSXBqKlxxBTz0EMycKe0ULVtKbBERfPjhhzz99NPVPkd+fj7x8fGkxEJSLOQcg0PHIKSyO6TC\nxRn1pf60R9ookmMhNQ4KSmHrIdh+BFbtgI374IfdUFACq3/aeuoDtb4HDs8DZ1G1zx2wTBc0uvKs\nD6MV0OozTZPgYH0ZVSqQVOv/aMMwHgDuBExgI3Ab0AD4GKgH/AiMME1Tm9NUnZGTkwONG8NHH0nl\n+OmnpXI7diy0bQvr10P//nD0KLz1FjidJCcnk5mZ6dE4goKCcAcHS0LcqpWcd+tWKb8WFUmf8bx5\nMHIkhIfD/fez9wySWIfDQXx8PO1SoUUy/LBTWh+uOg/OSZPK7vc7IdgwcFbjuAsXLmTAgAF8lg4N\n42Dpz7LrXYULLrj4egoid5NVXEifIRfy9NNPk5iYeOqDJfeFsAZQtKPav09AsoVDy7sgOPysDxUZ\nGamL76pJ206UCjxVtlIYhtEQuB/obppmR8AG/Al4Afi3aZotgTzgjtoMVCmfY7NJAnr77TKR4vrr\nwe2GHTvgyy9h3ToICpIJATk5MH48WW63x8N45plnIC8PtmyRxHzYMOjaFcrK4MYbpa/YMODgQZgw\nQVorSkt5++23qzy2aZrcN+oWujeDG/tA8/pgt0OftvL1sO4w/ma45w/QKJFqJQn9+/dn4cKFAGQW\nwJZDsGYnzFlxkPFvTWPJslV8n76JN9988/RJMYARBL2nSmJYh2Xnl0Ln6l8BOJ3WrVtTUqI7C1ZH\nWlqa1SEopTysuj3GwUC4YRjBQARwGBgAzKz8+RRgmOfDU8qHRUTADz/AAw9IEmy3S2uFwwGlpTIZ\n4qGHoH17SUxtNkmUPWzs2LGy+G/+fPjgA5gxA5Ytg507f138166dfD14MMTEQFYW9erVq/LYmzdv\nZvPqLxnYQVofWiRB4wQZtRZkwIKNMG8jXNMDkmKqH3P//v0xTZNyl4lpyi01NbVm1bfEntD4KhlV\nVgcVOeChaUCIZyZ0REREkJSU5JFjBbpu3bpZHYJSysOqbKUwTfOgYRgvA/uAUmA+0jqRb5rm8WUx\nB4CGJ3u8YRh3AXcBNKmlVflKWaKwUBLepUulcuxyycK788+HxEQZneZyycSIfv1g9mxia2sUVvPm\n0kf86aewdq20cjRoIEly69bwn/9Isj527C+9zldddVWVh12xYgUJYaUkREFuIWw+BA9fDp2bQE4R\nNEqApdtkNrGlK3m7vQoHvgB33Rqd5XbDtsPwwTL4wDA81gLRpUsXDh8+7JFjBaqwsDB69epldRhK\nKQ+rTitFPDAUaAakApHAJdU9gWmab5um2d00ze5ahVC+5PDhwwwdOpQJEybU6PGmaUofb2mpTJ34\ny19kU40vvoA5c2RB3GOPwaJF0uu7fDm7du3y8G9RadcuiI6WhX67d0vyO3OmtE/k5UlsV1wBn30G\n7drRqFGjah121KhRRIWByy1Jcf/2UOaENZW/RrkLmiXBJ6sgrwSSk5Nr5/erSmg9OPdfYKudyR++\nyjBkt8BoDxfL+/Tpo4vKqmC32+ncubPVYSilPKw6RZ5BwG7TNLNM06wAPgP6AHGVrRUAjYCDtRSj\nUh7RunVrjMREjFatMIKDSU1NZfbs2dx///0YhlGjBNk0Tfp16gSffw4PPggvvAArVkBBAYwbBx9/\nDLt20WjrVnK2biUhIcHzv1hlHKxZA9nZ8o1Dh2SMXHm5bAX9+ecyLq5LF9i8mf3791d5zHXr1hEK\nbNgHB/OkdWLpVtm1rkmCVCrX7obl2+DzH6TVwnB4dmHhGWlxB0S3oK6Mb3NUyK1lilTuBw8e7LFj\nd+nShYiICI8dLxCVlpZqYqxUAKpOSWAf0NMwjAiklWIgkA4sAq5GJlPcAnxRW0EqdbaCgoIwe/eW\nymlOjkySKC6WecNNmkBWFvePHctNN91E/PF5xNW0aNEioHLhmd0uLQw//iitFuXlXlvh//vz/NKv\nm5MjM5aXLqVlUhI78vKqdbzp06djt0GHRlDuhE0H4PzmkBwjc4i7NoXDefDFj1I1PlYKdiuLjEYQ\n9JoC83uDq9TCQLyjrALufk92Ecwtgi3ffOOxY3fp0oWKigqPHS8QxcTEEBcXZ3UYSikPq7JibJrm\namSR3VpkVFsQ8Dbwd+CvhmFkICPbJtdinErVmGEYmO3awXPPSSX3229h9Gj417/g3ntlq+TrroPU\n1LOq6JqmiVlWhnngAGZ2tnxu4dir44vaTNPEzM3FzM9nx47qjzW76667aJoKf7sM7uoPCZFw10B4\n/ku5fL9pPyzZCr1awZ8HQeN6khxbKr4rdHoq4Fsq3CaUlMGjw+BAHhwt9OzxGzc+u93z6oKOHTta\nHYJSqhZUa72MaZpPmKbZ1jTNjqZpjjBNs8w0zV2maZ5vmmZL0zSvMU2zbq16UX7hl6ppaqq0Fnz2\nmbQ73HsvXHmlzB4eNkwWzf3xjzJpQgEyispmQGo8hNllM4/QYLl036s1NEuGWy6Ur3u2hJQ4+bnl\n2v0Nml4HtsD8b+lyw6LN0t5S5IBBHSHKwz3GhmFom8Bp2O12+vXrZ3UYSqlaoFtCq8DWvLl8LCyE\np56SSRHffScJ8rFjMuu3a1fZMW7gwF93sVOAXKJf8jM0SZSFXot/BpsBrVOgWxrsz4F6kdJqUVgK\nLVu1tTpkCfT8SZDQPeBGuDld0r6y9RA0iINW9SE+CuJr4T3AqFGjiIryzAi4QBMUFMSIESOsDkMp\nVQs0MVaB7XgF+MgR6f+96Sa47z6IioK774ZRo2SBXHk5fPIJ5OWxdetptiCuY/bnwqvzYOoyGH4e\nTJwP6Tth2gr4/EfYlwvdW8D072HLQbj+1rutDlkEBUO/ORDdEoLsVkfjERUu2HoQZqyWKr0tCPZk\nw/c7oNDh+fNdffXVuFwuzx84ALRt25YWLVpYHYZSqhb4woVPpWpP5cxemjeHpCRJgFevltFmpglx\ncZI8d+8uC+ZycrjjjjtYsWKFtXH7CNM0qVevHo99kkuDONh1VHar23wA2qRC21SY9QPszoLGbXpx\n990+khgDhETDoKWw4EIo2gXuWsgevaTCBUWl8NQs2JkJ1/eCPVmwdo8kxg5nlYc4Y1FRUQwdOpRP\nPvlEt4g+QVRUFGPGjLE6DKVULdGKsQpoDcLDZUrEkCEwYoRsfJGTA2+8Ibsj9OoFF10kc4CdTmjR\ngpSUFKvD9ik5OTkcKzXZetjEaZo88Pdx7MuTKRXvL4H5mw3GPDGZL75ehs1mszrc3wpNgMGrIbGH\n3/Ycl5TDhHkw7BXAgKwCmLQQXl8A8zdCXjGUu2rnqXz06NFERgb2QsYz5XK5uPrqq60OQylVSwxv\nVgK6d+9upqene+18SiUnJ5PVoQMMHy6bbxiGjGgbNQqefRYaNpT5viUlshnH/PkcWL6chg1PupGj\n8lfuClg5Ag7OAVex1dFUny0cur3GkajLadCgwW9+lBoFZcgOhLX1PH58q+4jR47UyvH9jWEYXHPN\nNXzyySdWh6KUqgbDMH40TbP7mTxGK8YqoBWVlED79rK47ptvZHbxkiXQsSOEh0NMjFSOQ0OlelxS\noklxIAoKgT4fQZdn/KNyHBQKoYnQfx60vJOUlJTfjt8zTQ4WmmQXmrXa5mAYBqNGjSI0NLAWMdZU\nZGQk99xzj9VhKKVqkSbGKqD16dUL8vMhORm2boXnn5eJFFlZsk1zdjY4HDKh4tAh/njhhVaHrGqL\nYUDbv8DFKyCiEQSFWR3RydkiIbkvXL4Nkq3/93j77bf/OvawjouKiuJCfY5QKqBpYqy8bteuXTz6\n5JMYwcEYNhtGVFStvfDOnj1btkrOzJTEqEEDaZ9YswbWr4d9+2D3boI2bSLlhx/4v3HjaiUO5UPi\nu8KQn6HlSGlVMHzkadAWBiGx0H0C9P9G+qN9QOPGjbn22mvrfNU4MjKSl156Sd8kKBXgtMdYedV3\nS5cy5v/+j80HDkBamlRtS0rk5nAQUVzMfydNYujQoR47Z0ZGBt0vuYRj9erJN7Zvh/x8bG3b0mz4\ncIzwcGwbN/LIFVdwy003eey8yg8UbIPVIyF3rXW9x0awtHo0v0NaPeyx1sRxGjk5OTRv3pyCggKr\nQ7FEUFAQ3bp1Y/Xq1ZoYK+VHatJjrImx8pqCggJueeIJPv/6a+jdGw4fltnCnTtLO8P69dLikJ3N\n1Gef5cYbbyQo6OyqeU5gM7DaNNnscLDLZuOg3U42UGaalJeXE+R2k2C3k2az0QJoAZwDnAf4Xoqi\nPM404egi2PgE5P6I6SrDwF375w0Kk6sYTf4EHR+Vmcs+bPLkyYwZM4biYj9avOgh4eHhpKen0759\ne6tDUUqdAU2MlU/bsGEDXbp3hz59oG9faN0amjWD11+H+vUhNlbGqR05Qsjcubw7ciQjrr76jCs0\nGcB0YCawBbADbqC6L+chQDhQCqQAA4EbgX7o4O+Al7+RBa/258K0HEwgLERyV48xbNK+ERQKrUZB\nmzEQluTBE9Qet9vNueeey4YNG+rUXOPw8HBGjRrFK6+8YnUoSqkzVJPEWF/nldd8/vnnsiVzx47Q\nqhUkJsqOdAMGwObNshNdUBDs309FdDRf7N5N7507admy6kpaHvA28C5wADCRUVac8LG6KipvAPuB\nKcBnSHJ9JTAG6HaGx1R+Iq4Tj85tRnhhDk9dDZ2bQFzlEItyJ4Sd6SZ6RhAER4GrTFokmvwJ0m6E\neud5OOOufUFBQUydOpWePXtSWlpqdTheExkZydNPP211GEopL/GRVSeqLvjqq6+gXTuZG5yXJwvi\nMjPlUnaHDhAcDC6XfB0ZibN1a37OyDjtMfcAo4CGwJNItdjBmSfDp2MCBUARMA24CGmz+Aq8ccFd\nedmoUaM4kg87j0JsOPy4GzYfhOXb4aufILdIkmS3KZP+yirAhV22njZskghHNoOkC6DNA9BrKgzd\nA8OPQvfxkHi+3yXFx3Xu3JnbbruN8PBwq0PxisjISN555x3d5ESpOkQrxsprrr76alZPnSrJ8Hnn\nSYKcny/bNkdFyecFBZJt5OcTmpxMmP3kJboc4CHgI8DFrxXe2uYGSoB04DogFXgP6OOl86vad8cd\nd/DImDv59AcY1Am6NYOsQpj7EyzfCs9/Cc2TocwJeYWQEA2jn/wPF/YdJDOSbYE9veH5559nxowZ\nAV81Dg0NpWfPnh5dCKyU8n1aMVZec/fdd8tEiG3boLRUNtiIjISNG2HlSsjIkI02srIgMxP7xo2c\n07nzb47hBF4H0oD/ItVhbyXFv1cEbAcuBoYDBy2KQ3nenO++Z+U2uH4CPPRfeOoz+GAJHM6Hv1wi\niXFqHJzXAg7kBdOg2Tlgjw/4pBggOjqaBQsWBHQVNSgoiJSUFD799FOdQqFUHaMVY+U1U6ZMkSkU\naWmwfLlsqhEWJgvwwsPhtddkxnBhIWRn03nIEBITE395/F5gKNIu4Uvr4kuAOcB8pMf5T9aGozyg\nR48eZOzPIikpiVUndPOE2+H1BdC+IYSHwOpdcNfDr9GiRQvrgrVAly5d+OSTT7jmmmsCsnIcExPD\n4sWLiY3VuTRK1TWaGCuvSUhIgJAQaZsYMgSWLoVrrwWnExISfhnVxrRp0K4dpcG//vP8FLgVmRTh\nsij+0zm+YO8OYC7wFhC49bS6ITEx8X+mLxiGwaItsG4vvPKvl7m6Sx+6de9eJ6uKQ4YM4fnnn2fs\n2LGUlJRYHY7HRERE8PXXX5OWlmZ1KEopC2grhfKa4cOHQ26utFK0aSO70K1fLz3GRUWy+C42FiIi\nwOmkWf36uIH7gZuR1gVfTIpPVIIk8Z2QiRYqsJimiWma5BaZ3Prnv9GjZ0+CgwO3vvD999+zaNGi\nU/78/vvv54EHHiAiIsKLUdWeiIgIPvvsM3r27OmxY7rdbu677z5sNhuGYfzmFhQURFhYGJdccklA\nvblQyp8F7jO68jkhISHyicMBX34pH9esge7dpZWisFB6kA2D1M2buXDsWK5CWhT86SWjFNiHbBKy\nGOhoaTRKVV9GRgbt2rXD6XT+z8/sdjvl5eUEBwdTVFT0yxbRTz/9NMHBwbz00kt+ndxFREQwc+ZM\nBg8e7LFjmqZJu3bt2L59+yl/XlZWxrx584iOjqawsDBg3mQo5a+0Yqy8asyYMTKVIiQE7rgDnn5a\n5hk/+yw89hh8/DHMmcPcd9/lxoYNmYd/JcXHuYBcoBewzOJYlKqOt99+m1atWp00KQYoLy8HwOl0\nEhYWRpMmTQBpLxk3bhzjx4/3yzFuhmEQGxvLokWLuPTSSz167K1bt54yKf49t9vNgAEDPHp+pdSZ\n053vlNe1bt2aHU6nbAXdqBGsWycbfOTnA1DsdtPXMNiIZ+cRWyUS+Bbw3MVZpTyvJn3Sv3/9mDt3\nLtdddx2lpaW43b4/5TssLIx69eqxaNEiWrVq5fHj33DDDXz00UfVvn9QUBAul683jCnlP2qy851W\njJXXbd++ncMrVxK9cCHGG28wIDSUWe+/j2maOE2ToYbBJgIjKQaZoHExsNXqQJTysOPtFMcNGTKE\n9evX07ZtW4siqr6IiAguv/xyfv7551pJioHfTNVRSvkHrRgrn3IP8AH+2T5xOgZQH9gAJFkci1In\nU9PJGid7DSkvL/+fpNlXhISEYLfbmThxIrfcckutnutM/6bdunVDXyOV8hytGCu/9jqBmRSDbCud\nA/wB2ZREKV9S07aHyy677KTft9vtsqGPjwkPD2fIkCFs3bq11pPimnjxxRetDkGpOk+nUiif8APw\ndwIzKT6uAtkp7x5gssWxKHWilStXEhYWhsNxZm/b5s6de8qf+dKmJ5GRkTRq1Ih3332XCy64wCvn\nHDFixBndPy0tjY4ddYbNiUpLS1m5ciXp6RuACM45pxUxMRGsWrWeggKT5s2T+cMfepOSkmJ1qCqA\naCuFspwL6ABsszoQLwkHlgDnWR2IUpWmT5/Oddddd8aPO93rR1FREdHR0WcT1lmx2WzY7Xa6devG\nuHHjGDBggFc3YklKSiI7O/uMHlNWVobdbq+liPxLRkYGHToMoLy8EdAXqePtBn4GugL1aNo0isGD\nw3nsset+mZJSU0899RQHDhzg0Ucf1c1dAoi2Uii/9CZwwOogvKgUuAXf36xE1R2dOnXy+DGjoqJ4\n+OGHPX7c07HZbERFRVGvXj1Gjx7N6tWrWbZsGQMHDvT67oRhYWFn/JgpU6bUQiT+QTY9Cav8mECr\nVpdRXh4L3AAMAnoAfYCBwEGgJ3v3pvHhh3nMnLmgWucwTZONGzfSoUMPDCOy8lxxGEYbnnjiFd55\nZy7Nmg2jW7cetfRbKn+gibGy1FFgLDK5oS7Zh2wbrZQvaNeuHampqR4/7gsvvMDMmTNp3LjxKRPT\ne++9lxtvvJFmzZoREhJCTEwMERERVSayx5Pg6Oho7HY7nTt3ZsyYMSxYsICsrCwmTJhQKwl/df3j\nH/8448fExcXVQiTeFxcXd8IOf7EYhkFiYiIhISE88sgjOBwOXnvtNd544w169+6NYSQADYEoJAHu\ngMwlag9ciDSiBSOV4r5APDAF6EdpaSdee616byg++OBjOne+li1booBhyKT5xshepdchS6SdrF0b\nzl//+lfP/UGUX9FWCmWpa4AvkKe9uiYS2AUkWx2IUpz5JImrrrqKmTNnejSGoqIi0tPTycjIYN++\nfezYsYN9+/bhcDhwuVwEBwcTFRVFs2bNaNWqFQ0bNqRjx4507tz51501fYTT6SQ2NrbauwEahuEX\ns59P59VXX+WBB14BDgHNkHk8kciz3FGgHtIKEQU0RZYl7wXyKu/TrPJ7xzdFOR9oBaQAh4GQyvsV\nI9fe9gJ/AkZhmqffSOXo0aM0bz6IkpI/IElxLtLUBhALZCDXLncBjwFjMc3cmv8xlE+oSSuFJsbK\nMkuAywjsBXenY0eenj+xOhClKhUWFtKtWzd27NhR5X2Li4t1++IqLF26lOHDh5OTk1PlfT/++OMa\n9Xn7EsOIA1ojiXEoEAdEA3uQ5jEHkAC8CHRBBlhuB95HrqP1BK6sfNxnSGJ9X+X3g4D/AB8Bf0Sq\nvM8D5wBTWbToQ/r163fK2Bo0aMCRI8nAv5BEeA7SotEQWAUMAZ4GPq6MvzmmufNs/yTKYtpjrPxG\nBXArdTcpBigHvgSWWh2IUpWio6PZvn07Xbt2Pe39+vbtq0lxNVx00UUcOXKEL7/88qQ/79SpEyNH\njqSwsNDvk+Lc3FwgDOn/vRAYh6wgSQU6Ik1zNwARwKvAKGABMpPIBbQAngOuB/oBnyLXE69Akuy3\n+XWQ1jfAJGALMBfIZunSUz+TOp1OjhwpQBLiRkibRhnQEqlCV1TG0hOIQVoq9p/FX0P5M02Mlcek\npaVJT1lICEaDBnKz2TBiYzFatsSIjPylb/Bz4MzWawemUuARq4NQ6nd++uknRo0a9T/fj4uLY9q0\naSxevNj7Qfmp4OBgLr/8ckzTxDRN7rzzzl8+37BhA2+//TZRUVFWh3nW/va3B5HrYH9C+oAvQ9on\nRlZ+/UfgYaA7kix/CIwHJgJXIclvE6Ra3BBZaPcckkT/Cfg/4GskiW4GtAXaIS0WQdx///2njE3a\nbAYgLRzbkb7icKRX+RBS1T4XqVqXI+0a+savrtJWCuURhmFAeDgkJEC7dvLRZoP8fFi3Dm6/HWJi\nYNo02LCBC0yT5VYH7SNCgR3IU7VSSvkjKXpcA9yLJJ8jgOnAYOS6WDOgAVIKGIJUZ8OBROB7ZJL9\n35DKchgwFak0gySro5GWi78gc33sQCYwG5jFCy+MPuUUFMOIRNouNgH5QH9gJ9AGSbRjkMrxLGAZ\nYAP2nHYcofIP2kqhrNOiBYSGSlI8YoQkwldcAZ07y89efx3+/W9o2xa6duUHq+P1IQay459SSvkj\n2bGvKdAc+AlpTdiHPLu5keuDoZWfu5DKbTmy6G4bkuQWA6uBrUjf8ImbndiRZDoNuByp9IZXnnMY\nEM/48eNPE6EJFCEV5meA9chiuwmVMYQhrRPhlXHuqdHfQQUGTYzVWTMMA5KToVEjOOcciIiA+Hho\n1gw6dYLoaBg6FAYPhuxsuOEGyqq5UrsucCCdeFqbUEr5IxlNdwxIR5Lbg0jl1QSmIRMgNiOrKvYi\nfcUxSEtFCrCy8vP6lUcsPclZyvm1Lzi28nvhgBNwMGbMmFPGN2XKW8BCpMIcB/wVWQT4Z2Q8HEir\nxd1Iq8eZz6BWgUO3hFaeUVEhFeOYGOjVSz7abFJBnjcPunWD9u3h++/hrrskeVa/KARWAN7ZrFYp\npTynvLwcSTD/DixHWif2IqPPDiMJ7x8rP3ZGEuQwpDK8B/gvcClSNR6CTKuYD1xceYZsYEblsY4g\nifExpLr7MbDntJvJ3HzzzdxyyyggB2ml6In0FvdDEvNmlcerh1Sh6yHJvaqLNDFWZ23hwoUMuOkm\nSY7tdoiMlM8N49dbSYlUjrt106T4JEqQqrEmxkop/9Qf6RdejiTI5yLXwxYiyaiJ9PT2QsakvY5U\nisuBq5Fk14EkzUHAg8gzYkLlMTcgi/MeRKq6CcAaYBW7d2+pMrr9+7fTuHFjpNVjBtLW0QDZTMSJ\ntGcEA+sAh/YX12GaGKuz1qNHD0mIu3WDjRth2zapFGdlwbJlEBIiFWSXC5o3l0qy+g03suyjGBmH\nr5RS/iMY6R02kAS4GZLoBiMV3qHAj0jyaa/8eQ+kFSIMWah3H9IDDJKotuN/9wctRXqXNwCFLFmy\nmAsuuICgoKq7Qhs1akRhYSHR0dFIBToYSdoTkGp2NtL2sYeoqLIz/xOogKE9xuqsbd26VXqJBw+G\noiJYvhxefhneeQfy8mQyRZcucPiwJMbVeBKri4KBr6wOQimlzlBEhB1YjOwcZ0OmTBzf0CMGWdhW\niEyCOAysRXqOw5CywGfIgrhZwOPI1Ak30ncsVxjvvvtupMcYpkyZgGm6ueiii6qVFB8XFRVFRUUF\n33zzDVddNQxJwGcgSfl9leffRmFhYc3+ECog6Lg2ddbS09M579//hgEDwOmEJUukelxcDPPnQ3k5\nNG4MTZrAc89BmC5sOBkDGVb0ktWBKKXUGTIMO9AbmRyxA7gZaVNYg7RMdEI21yhGxqbtRCrAh5EE\n9QCSBEcBmXTvj577ZgAAIABJREFU3p2EhASGDRvG6NGjay3umTNn8sEHH1BaWsq33377y6x9FRh0\nS2hliYKCAmIHDYI//lGmUqSkwIoV8PnnsGcP7N4td7zqKpg8GWJjT3u8uqw3sghPKaX8jSSVLZBK\nbxlS9T2KjG9rgmyk4a78Oh9JkMXmzZtp3769lyNWga4mibH2GKuzFhMTQ/D27ThXrZIkODJSeo0z\nMmQ8m90uo9wuvFB6jdUpVb2ERJ2opKSEDRs20K5dO2Ir33CdWPHRBTRKeY9pmnTr1o21a9cBEYSG\n5rNp0yb27dvHzTffjGmaNGnShOzsbDIyMgBo3bo127ZtszZwpU6gFWPlEUVFRUQ3awZJSZCYCBs2\nwLFjkJYmi+127oT9+yVBVqdkR4YEJVodiB8YevlgDvz8HbHhbgpKDbYddhNqQGI0bD8KyXFwrBgc\nFZogWyUjI4OSkhLat29PcLDWYZRS3qU73ynLREVFYWZlMf3JJxkSEyNJMUgrRXw8PPGEbBOtTisc\nWW+tTu/GG64nNHs+o/q5qBdhkhLj5qLWUFgGFS4YPQj+fQOMGw7dm0HDhg2tDjngPfnkkxiG8Ztb\nq1at6NKlC3a7nYkTJ1odolJKVUkrxqpWNWrUiIMHD0oLRVaWtFWoUwoFngMesDoQH9e5aTBhNheF\nDmhRHxrXg037YVcmmCZccz68fCMEB8PCLXDf+7BySx5xcXFWhx5w8vPz6dy5M/v376/yvmPGjOHV\nV1/1QlRKKaWL75QPW4bscF9gdSB+4GpkgJA6tQZxBvZguPlCuKmPTE7NLYKPV0GxA8pcsCcTFj0m\n0wGHvAxmysXMmzfP6tADTu/evVm1alW1769tLYGtogIOHYKDByEzU4YSmaaMs4+NlW66hg0hKsrq\nSFVdoIvvlM/agUy1VFX72eoA/IDTBU0S4d6LoV6UbK5YWAr928NHq+CNW+HOd+G1+XKfsnJorv3t\nHldUVHRGSTHI4khNjgNDWRn88AOsWgULFsCPP8rY+rAwSYRNU27w6yaoLhc4HHLxsG1bGDgQLrgA\n+vSBevWs/X2UAk2MlZeUoolxdZVaHYA/MCAuAuLCIa8YbAbER0FyDBzNB3sIDGgPz8yC2AjYkwWL\nJk+2OuqAk5+fb3UIysvKymQ8/ZQp8PXX0q7kcEhl+LiSkqqP43TC2rWwbh1MmiTH6NIF7rgDhg+X\nddxKWUETY+UVDjQxri7djLRqcXHxVLjyeHwG1I8DtxviIuFIHrjcEG6XhDk0BB75CHKKrY44MKWk\npFgdgvKSw4fhlVfgrbekPanAQ31xbvevx/rhB9iyBcaMgUGDZM32eed55jxKVZdOpVBeoYlx9ZVX\nfZc6L2N/Ho5yaBAPfdvCsG4QZMD01XD/JbB2N8zbAK/fKovzVO3YtGlT1XdSfm3PHrjhBmjeHCZM\ngKIizyXFJ1NcLFXpr76Cfv1kE9Xvvqu98yn1e1oxVl5Rgex3pKrmtDoAH/fWW2+RliCTKBrFw8Fc\n2OWECic0T4YpyyCzQJLlQZ1gVjoMvvEfVocdkMaOHWt1CKqWlJTAM8/Aq69Km4TLy5UN05QY1q6V\nTVX79JFqdfPm3o1D1T1aMVZeEYr+Y6uuEKsD8HGjR48mOR4axMLeHDh8DApKIT4SEqIg2IAv/gr3\nXQyOMjhaAF27drU67IBUXKw9KoFo7lxo2hTGj4fSUu8nxb9XUgILF0LHjvDoozL5QqnaormK8opQ\n9PJEdemk59NLSkqiwgWtU6HIIWPaChyQcRQO5cFdgyDCLpMr/rsKciuSGT58uNVhB6Rly5ZZHYLy\noLIyGDUKrr0WsrOrt4jOW1wuSdLHj4fu3aXFQ6naoImx8oow9B9bdYVaHYCPy8zMJPMYLN8GrVIg\nvxD2ZsHin2H5dhj7EYx8B66dAP9dm8KbH35tdcgB64knnjjjx/To0aMWIlFVMU2TnTt38sYbb5CW\nlkZSUhJ2u5369evz3XffkZEBnTrBhx/6VkL8eyUlsHmzxPrpp1ZHowKRbvChvGIqcA9QZHUgfqAL\nsM7qIHxcq1atcORkkBILcVGQXQA7jkJxGSREQm4xfPfddwwYMMDqUAOeYRhndH+n04nNZqulaNTJ\n7Nmzh8cff4Zp06YhS6GbI6WKjMp7XA+8RVBQDG4/WgwSEQH//Cf8/e9WR6J8lW7woXxWe7RiXF3n\nWB2AH9ixYwfwa1LWsmVLihw7rAxJVcPSpUs1KfayyZOnMm7cZxw40AYwkGatPOBRJDEuBSYBYX6V\nFINUj596Cg4ckBaLIH2RUR6giXEAMgwDGjeWbYTKy2HLFh555BGee+45y2LqAPjw1TmfEQHohebq\n0x3UrHf8v0FVlWP9b+V9O3fu5MUX53HgwB3AH4FzgfOQoZBTgH7AePy5gaukBN57T7af/ugjTY7V\n2dN/QgHGMAxo3x4uvFCS42PHoGFDnh8/HiMuDiMq6owvfXpCOKDjZKsWDHS2OgilasA0zdPelPfN\nmzcPl6sv8DrQG0mG3wQmAx8DL+LPSfFxJSUySWPkyF+3oFaqprRiHGji4qBDB+jfXz6/6CJYvBja\ntYNvv5WmLKcTwzC8/mLVBTjo1TP6nxKgk9VBKKUCgsvl4sCBbGAR8Axy7e649khrRWAoLoaPP4YW\nLWSkm1I1pRXjAPLOO+9AaircdJPso9m7t3w+ZAhs3SrPFkePyqb0DRrw8MMPezW+Pug7sarUA6Kt\nDkIpFRByc3MpK5sH2IDY3/00cJLi445vSqLTKtTZ0MQ4gDz44IMQFQXNmsl09pQUSEqCAQMgK0uq\nxgkJsGMHHD7MSy+95NX4uiI9tOrUtFqslPKUcePGAenIvqPzqAsrPUpL4eab4ccfrY5E+StNjAOI\n2+2GwkKZ0g7wzTcyx+bf/5bp6AMHypZBDz8MlTuB7du3z2vxdUa2hlYnZ0O6AJVSyjNikYV2bmAl\nsBhwEYjV4hOVlMA11+gOeapm9Mp2AAkJCZG5NR98IP3E4eHSU1xQAKGhcM45sGiRVI/Ly6FxY3r2\n7MmhQ4e8El9DZKOPUq+czf9EAL2sDkIpFUCcyDNvJNAYGEBdednPzIRXX4WHHrI6EuVvtGIcQPLy\n8iQBnjFDFt999hksWQJvvAHx8VBUBM2bw/PPw/nnQ04Ox44d81p8BnA7EOK1M/qXIGCQ1UEopQJI\nOFIxPgd4lUCYQFFdxcUwbpzUipQ6E5oYB5rISOkvfvxx+RgUBH36wOjR8hY6NhYuuwwmToQOHSjx\n8t6fI6kr9YozEwLcgv5tlFKeExNTH1nOeznQgrr2kl9eDqNGWR2F8jd16/+SQBcSIrekJGjQQL5n\nGHJr00baKkJCpJWiSZNf+oy9qQ2yGan6rWDgz1YHoZQKKJde2hHZMmgoUj2uW5xO6R6cN8/qSJQ/\n0cQ4kFRUyOSJQ4dg9+7f/uzHHyE/XxLjmBhwuyVBtsAYpONN/aopMlVUKaU8ZdKkSYSEXEldvhZV\nUgK33SZTSpWqDk2MA4gtJAQ2b4bDh+Gxx2DlSkmSp0+XPuPERJlrnJwM06bB5s106uT9AWHXIuui\nlYgA7rM6CKVUwDl4MBab7WrqYrX4RMeOwSuvWB2F8heGN3c/6969u5menu6189U1xcXFRCUmyp6Y\nQUEyz9hul2eF/Hxpr+jaVRbhbdkCGRmWbdU6HPgc0N07ZTnMYSDe6kCUUgHl3nth0iRpKajr6teX\nmpER2JPq1O8YhvGjaZrdz+QxWjEOIJGRkZilpdxx000y5TwjQxLkyEiZY7xlC/z3vzB7NuEHD1qW\nFAPci272AfI/4MVoUqyU8qyKCpg6VZPi44qLYflyq6NQ/kAT4wD07rvvYpomeUeP8uTQofz04YeY\nx45hmuYvN29Po/i9/sgub3X9H2Ao8LLVQSilAs7cuVZH4FuKi2UYk1JV0VYKZZltyHTNurrhRzhS\nOX/R6kCUUgFn4EBYuNDqKHxLeLhMLY2KsjoS5S210kphGEYbwzDWnXArMAzjL4ZhdDEMY5VhGBsN\nw/jSMIyYmoeu6qI2wD3U3WUh0cA4q4NQSgWco0dhxQqro/A9NhvMnGl1FMrXVZkYm6a5zTTNrqZp\ndgW6ASXALOBd4BHTNDtVfq0bL6oz9iSSINY1EcBktM9aKW+ZPXu21SF4zYcfyvIS9VtFRfDaa1ZH\noXzdmf6vMxDYaZrmXqA1sLTy+wuAqzwZmKobIpB3WHVprnEw0AvZi0op5TllZWX06dOHRuHhNA0P\nJyEyEpthUN8wGDp0KHbDwG4YNG8e2NsMTZwo66/V//r5Z9i50+oolC8708T4T8BHlZ9vRrbTAbgG\naOypoFTdcgXQk7ozgj4EeTOglPKsNo0bE7R5MzcnJzMyJYVBkZFEAwVAUnAwySEhDElIIDIzk4gA\nnduVmSljydTJBQVp77U6vWonxoZh2IE/AjMqv3U7cLdhGD8iV8PLT/G4uwzDSDcMIz3Lop3WlO97\nFwizOggviAD+CaRZHIdSgWb69OmEFRVxeXw8hRUVrMnL45ucHEqARjYbV9SrR7eYGNKLihgYF0fT\niAj69etnddget349hNWFJ9MaKimBNWusjkL5sjOpGF8KrDVN8yiAaZpbTdO82DTNbkgV+aQXJ0zT\nfNs0ze6maXZPSko6+4hVQEoDPiOwF+KFI/8T/d3qQJQKQKNHjyavvJxJR46wvKCAzeXlhAcF0TEs\njKKgIBbk5NA8LIx+8fHMzs6mQ0QES5YssTpsAB588EFsthbYbOdiGI0xDAPDCMYw0jCMcBo0aFDt\nY23YoG0UVdHEWJ3OmVy9vp5f2ygwDCPZNM1MwzCCgMeBtzwdnKpb/gD8C3gQWeEZSOxAW2AaEJgX\ncJWyVm5uLj2io7kqOZnkkBAKXS7mZGezs6SEPyQkMC8nh/m5udxavz4r8vOpME2CfGCFWnR0EkVF\nKUAc4ECeLS5EBlmOBTI4cuQTQkNDKSsrq/J4K1dC+Umv36rjduyQDWIDtJtGnaVqPSsYhhGJ5C2f\nnfDt6w3D2A5sBQ4B73s+PFXXjAZGEmDTGpxOyg8c4Cunk1CrY1EqQDUIDubCuDiOOZ2sKyois7yc\ngXFxOAFbURGZTidbSkt5bc8eKkyTTcXFXHbZZZbG3K5dV4qK+gLvAWuAd4COQCaQj8zteRkooLy8\nabWOuXZt7cQaSAwD9u61Ogrlq6pVMTZNsxio97vvjQfG10ZQqm77N5CDvAvz+8qx0wn5+TBiBA12\n7uTxkSMZ9+ij2Gw2qyNTym+Zpkn5sWM4S0pwO50YQUHEhYSws6SEtPBw6gUHk11RQUZ5OXvKylhg\nmlwYG0tEUBAZDgd7SktxAbvmzLH099i61QmkIst3ooDDyDr2MGTJ4AVAO2S4488YhsHpNuUqL4cD\nB2o7av8XHCy92GlpVkeifFFdGQSg/IgBTEGqxv/Bj5Pj8nJJij/9FC6/HIqLeeb772k4ZQqjbr/d\n6uiU8nmmaVJ86BDZ69eTlZ5O9oYNlGZlUZafL324wcEYhgGmycNNmxJywrXxZuHhrM/Lo1d0NBfF\nxdGpcruz7PJyJh85wsbiYqt+LQAcDgdwAFiFNJAtAJKBu4AewEbgTSARGIUs28087TG3bpXd3QoL\nay/uQFBcDOvWwdChVd9X1T2aGCufFIQ0rTcGnsMPk2OXS2YmLV4MbdvC/v1gt0PPnox+8knuGDGC\nkJAQq6NUyueYbjdZP/3E7tmz2T9/Pq6yMozgYJwlJdIYevx+ABUVv3xtP0m/cPu4ONrFxWE/IWFO\ntNvpERPD7tJSitzu2vxVTissLAyojyzR2Q8cAdoj18p2AX9FygOPIyWCFKpKjDds+M2fSJ2CyyW9\n2EqdjCbGymcZyEtCY+BuZCmKXzznu1xw8CC8/TaMHCnbLaWmwpYtUs6JiqK0tFQTY6VOUJqdzdap\nU8mYPh3T7cZVWop5PHGtxqKzk/l9sny8DeHc6Gg2FhWx2sLS6vLly5EOxb3ACuAVoCVwFPgAeB6p\nJAcB+4BSYmNjT3vMrCwoLq5ApqWr0zl61OoIlK/SxFj5vFuQvcgvR+olPjuJyO2W27x5MH06tG8P\nmzZBhw4QFSWV47VrwTSJqrysq1RdV7BnD5veeov98+djmibuWhypYFRWjmNsNu5KTeXRZs3YM2cO\nTS69lCAv9/0/88wzyAK795HrYuchEymO9xjfAwwBypDrZzvIzz99aaC42IVp6qiF6nA4rI5A+Srj\ndI38nta9e3czPT3da+dTgaUEmVoxEx9srXA4pLHv2WclCd62TdonQkJgwADo0kVaKT78EDZvJmfJ\nEhISEqyOWinLlBcWsv7VV9k1axZupxPT5bIkjuCICMKTkuj5zDMknXuu185rGDbkLb8b+BxIqvw8\nqPI2AOkvXgEUsG3bBlq3bn3aYw4atJLvvutdm2EHjLQ02L3b6ihUbTMM40fTNLufyWO0Yqz8RgSy\nKG8ksu3iIcDa5TPIJV6XC154AWbPhrvvhnPOgYwMiImBFSskUX7/fZm636cPZGZSXFysibGqk0zT\nZNesWax94QVcFRW4a9gm4SnOkhIK9+5l4ciRNOjTh/P++U/CExO9cOaWwL3AS8BK4EqkWawcWAfk\nIQlyCu+990KVSTHAgQO5tRZtoNFZz+pUrJ9urtQZugD4GZnuGQeyxNjLQqjcwnrWLDjvPPjqK6kM\nd+ggvcSdOkG3bpCYCBddBI89Jg+85BJwuVirw0ZVHVR+7BiLR40i/dlnqSgqsjwpPpHL4eDgkiXM\nufxyDq9Y4YUz2oFOQDzSTvEpsANYjGx1dBCZTlFEp06dqnXERo1SayPQgKSbe6hT0cRY+SUbMsDo\nCEi1tqxMlmPX8irzCGRr55HIzjaMGSM/GD5cFtgZBkREQMOGEBcHkZGyEK9RI4iOlt7jJk0qF94o\nVXdkrV3Ll0OGcHTNGlw+umex6XRSUVjI0vvv58fnnsN9wtQLz9sPLAS+QqrDLyIbxv8TaZ9oiCTK\nkXTu3LlaR7zggnPxkyXKlrPbrY5A+SpNjJVfCwVsn34Kc+ZIG8OCBdLvW1rqsSQ5ovI85yIvXYeA\niUBTgMxMaN4cunaV827bJgl6drZ8vW8fJCTI1P3iYujfH44e5dVXX/VIbEr5g11ffMHCkSMpy8ur\n1cV1nuJyOMiYOZNvb72Vilq7InUM2fFuAvAsMAzYA2xCnl3+Ahj07dsAezWzuLAwkD5lVZVQ3YZU\nnYL2GCu/1ycxkaV//zvUqyftDAcPSrXWNGWDjfr1Zd7p8dFNp3iRCUKqwcHI5It4oCdwCfKSlXKS\nx2zbto02t90GzZrJdP29e+W8mzdDbq58v6gIpk6V9oqvvoL8/NPuXqVUoDBNky2TJ7PpzTdx+dkY\nAJfDQe6WLXxz7bUM+uADwpOSPHr8tWvXcu65PYFnkHnGx4BcZBFeBTbba1xySTPmzJlf7WOGhYFh\nuDBN3VmzKpoYq1PRxFj5vfnz5xPWooVUbgcMkCTY4ZCPK1fCf/8LvXrJuLRNm6SloXFjLh46FDfS\n6ZcAtEIGJTUCuiIvT1Vp3bo15yclsWbmTBgxQhLi7dvhvfckQV69WqZVFBdLO8WgQQDccssttfTX\nUMo3mKZJ+rPPsmvWLL9Lio9zl5dTdOAAX191FRd/9BFRDRt67NjnnHMOpllWOULu1/EIpnn6TTxO\nJzVVEj4//XN7VZMmVkegfJUmxsrvhYaGSo9xZKT0+JaVySSI2Fjp9U1OlurtP/8JGzdCixawfTvz\nPFS1nfHaazTt0QMWLpRzZWRAcDBccIEk5llZUjV+9FHZHnrDBiavWeORcyvlq9b961+SFPtoP3F1\nmU4nZXl5zL/xRi6dMcPjlWNPXj3q3BlsNm2erUpICPTWqXbqFDQxVoEhO1uS3r17JSlt0EAqtosW\nyUYbe/dK1fZf/4KpU4mMjPTYqZs0aYJ5+PAvmwcQHAxOp7RWhIRAQYG0c4wdS6LNRpaWc1SA2zZt\nGts//tjvk+LjTLebstxcvr3lFi6ZMYMQDz5/eFKrVjqGrDrCw2VZiFIno4vvVEB46qmnpI3hL3+R\nhXizZkmFOD1dEtO0NKko168P+fncf//9Ho/BNE25VVTIx5ISzGPH5PMjRzBzc8nKyvL4eZXyJYeW\nLWPdK68ETFJ8nOlyUXzkCEvvuw+3RZuRVMVmk2UN6vTKy2XPJaVORhNjFRAGDBggbRM//wwTJ8K0\nadLCMGCA9BdHR0uZYMIEOHyYZ5991uqQlQo4+Tt2sPyBB/y2p7gq7rIystevJ/2ZZ6wO5ZS6n9Ee\nX3VTcDCknGw1tVJoYqwCRI8ePaS3uHlzWWRXWipJcffu0vP75puwaxesWcPPurmGUh7nrqhgyT33\n4AywSvHvuRwOds+ezaFly6wO5aR69jw+tk2dStu2usGHOjXtMVYBITg4mJ4NGvB9Xp4kxcXF0koR\nGgo5OXD0KODZhS5KqV9t/fBDHLl1Y0til8PB948/ztD587H52NyvLl10MkVVeva0OgLly7RirALG\nqlWraOF0woYNsHOnVIhP2HJWk2KlakfJkSNsnDgx4PqKT6eiqOj/2bvv+KjKrIHjv2f6TAopBBIg\nASSU0JsKKIqCgq4iKirWdZfF3RVFfV0LsLqLbS27KmBXqhVRV1dUFBULIiAC0qSEFlqAENLLtPv+\n8QRFakImuZOZ8+Uzn2RK7j25TGbOPPc852H1iy+aHcYRunaFsjKzowhfsbFw6qlmRyHCmSTGIqJk\nZ2f/OgkuGMTIztYT3yQpFqLOLJkwgaDfb3YY9SpQUcG66dMp3rbN7FB+IyFBlwqIo/P54PzzzY5C\nhDNJjIUIQ8FgkE2bNrFr165fbmvWrBlKKZ5//nkTIxPit3Z/9x17lizBiLLEGHRd9aL77gu7D95j\nxugmPOJIffvKxDtxfJIYCxFmFixYwIAbb2Twww/T9/bbsbdujcrIYLfXC507c/PLL6Nat2bcuHFm\nhyqiXKCykkXjx0dsF4oTMYJB8teuZcfnn5sdym9ceSWEaUc5U8XFwa23mh2FCHeSGAsRRnJychg1\ncSLfZmayqX9/ckaPxn/HHZCSAiNGwJAh8PHH8OCD/Oujj3jjjTfMDllEsbVTpuAtLjY7DFMFystZ\n/M9/4g+jDwfx8fC730nnhcMZBlx0Uf3sq6ysjDFjxuB0OlEqAaU8jBw5sn52LmpFEmMhwsjTzzzD\nOq9Xv7N5vfDRR3pFv/R0cDj0inrPPQdXXQUjRjBm7FizQxZRKuj3s27mzKgdLT5U0Otle5iNGt98\ns5RTHMpqheuu0y+jdWnOnDkkJp5CTEwfJk/+DK/XCtiBFKZOXYRSHVAqlZdeeqluAxEnTdq1CREm\nfD4fT739Njz9NFxwgV6gZN06ePdd6NdPf2+1wpYt8MEH0LEjhWHWKkpEj90LF2IEg2aHERb8ZWVs\neO01WtfXcGQ1DBig1zQqKTE7kvDgdMJf/lK3+/jyyy+55JJxBINjgAzgVcANnAlkAS2AtcB2/vzn\nJ+jXrx+dO3eu26BEjcmIsRBhIjs7Wy9d7XJBQQHY7bons9sN8+ZBjx5w5plw9tkwYwYsWECi12t2\n2CJKbXj9dfylpWaHETYOrF9P6SGTZc1mscBNN+mEUEBaWt0vA/3nP99BMDgc+Bx4AAgClwGjgI7A\nDmAo0BwYwODBg+s2IHFSZMRYiDCxa9cu/S62aZMuDty/H+bPh7174ZJLYOBAKC6GXbugSxeYMoXn\nnn3W7LBPyvvvv89bb72Fx+Ph1FNP5YILLqBVq1ZmhyWqqbKggD1LlpgdRtjZ9N57dL3lFrPD+MWf\n/wxPPml2FOaLiYF77qn7/eTkKOB7dOLbG0gD9gK3AfFAJfAC0Brow5490V2fH64kMRYiTNx+++26\nhtjthk8/hWBQD/lMmwbXXgs5OfqBPh+0awdJSUyZMoXhw4ebG3gNeL1eWnZsSW5FLlQAcTDth2lY\n/2XFWeKk7MCvKxOUl5fjkrVtw9LWOXNQFjnheKig10v222/T5eabw+bYpKfD3XfDE09E76IfSukT\ncfUx7y0QyEOfiB+LTpAbAa8AVwE+oBngAT4APiEQkMQ4HIXHX68QgtWFhfpVfONGWLsWevbUBYIO\nBxQWQosWuu7YYtGT82w25s6da3bYNXL+4PPJjcsFK9AF/X7RFwL9A5SllkEckA60BneSm/Hjx5sa\nrzi6Da+/LpPujsJfXs6+ZcvMDuM3xo7Vi35EK5cLZs7UL5t1LRDYCRjoEWEHMB04AMwG3gMeA5KA\nvwDtgdi6D0rUmCTGQoSL8nLo3Rsuu0wnx5s3w4EDuiP9e+9BUZF+dS8t1RPw2reHJk3MjrpGFqxf\nAG2qrmQCPwD7gHL0e4QbfRbSArSGRx55xJQ4xbEdWL+esr17zQ4jLPnLy9nw5ptmh/EbTidMnw4e\nj9mR1D+XS59s69mzPve6H5gHJAC7gH8C84HPgJHAaPTJ+lOAzLBbHEZIYixE2OjeogVs3/5rz+Ki\nIp0sx8ToiXiTJsGUKbojhd+vE+P4eLPDrpGAPwBe9PvCFvSocddDLhZ0Z6MDwCYgDu6//36TohVH\ns3P+fII+n9lhhCfDYOfXX4ddsnPeeXDuufplJJo4nbqMpD6MHj266jsHMAmdEF8MXA040Yny7UB3\n4CGgFJBG0+FIEmMhwsTChQv1SPHLL+vJdj/9BHl5+t2srEyXU/Tpo/swOZ2/TtBrSIoOudjR7xcK\nKADKgHaAC3220QkUw5YtW8yJVRzVvuXLMWRZtWMLBikPwxH1F16IrsQ4Jgaeeab+ykjmzZtX9d0B\ndGu2YqADurSCqq+WqvvWoyfl7UXJKixhRxJjIcKE2+1mygMP6FHhW2/VJRPPPguvvqqT5ObNITFR\nl1f4fDB/Pivmzzc77JrxAcuqvh4AsoFV6DOOMUAKOiFujX7/SDh0JEaEgwPr15sdQliz2O1heYya\nN4cJE6IKGI0SAAAgAElEQVSjpMJigawsXUZRX8466yz0aHAL4BH0p/9l6DRLoVu3eatus6LLLXbW\nX4Ci2iQxFiKM/PGPf2TujBmkl5TosopGjWDRIli+HF55RS/+8fnn8MILfPzAA3Tt2tXskGsmiH5P\n6IZ+9WmOnqRtrbpvW9VXO3oiXmP49NNPzYlVHMFfVkZlfr7ZYYQ1f0UFB9atMzuMo7r9dl1vG+m9\njePi4O2363dJ7FdeeQVYh34xawIEgI+AicB2YAPwD/QCH6lASdiV3AhN2rUJEWYGDx5Mzpo1ALz8\n8st8/PHHWK1WnnzySVwuF0VFRaSlpRHTUNd7bYmegLcL+Aloii6l2Fp1eyZQAiwCvJCXl2dOnOII\nBdnZWN1u/LKc2jEZfj95K1aYHcZR2WwwZ45eKygnByKxIsbjgU8+gdat63/fLhdUVBSg27FtQr+g\nPYVeAc9Af+r/FzABkNe1cCWJsRBhbNSoUYwaNeo3tzVpYJ0ofsMOJKJbssWjk+MiYCN6YahM9HuH\ngT7rWAhXXHGFObGKIxSsX4/h95sdRtgL1xFj0Ceh5s/XyfGBA2ZHE1oej65E69vXnP2Xl5djt9vx\n+x8HrgFeB+5BzzIeAOwGHgfWyqp3YUxKKYQQ9ccB5KKT3wR0ktwUnTAfHEFeA6xAl1lYD9buiXCw\nf9Uq6V9cDRV5efjD+Di1bKkrsmIjqI2uxwP/+Idu6GMmn8/HlVe2Ry8JfR96kt1MdEeKh4FV3Hrr\n6AbXgz6aSGIshKg3njiPnm8yH92/2IaeoL0f6AU0Ri8W1RUoBo8/CmYKNSD7V60yO4QGwepyUZid\nXef7yc/PRykbSmWhVFeUaoxS6ohL4Cg1Ez17wty5kZIcl1FW9hD33KNYsGCB2cEwa9YsDKMEw9iE\nYVRiGAaGUYhhlGIY5UyaNMnsEMVxSGIshKg3kx6qekNYji7D+xg94a4IWIDucATwM6i1ipXLVpoQ\npTiW8n37zA6hQVBKUZabW+f7SU7OBC4BLgcGVV2aA62AK9Ajlpdis2WQe5R4zjgDFizQzW7CZBXr\nk1AOTAE+AVrTv/9VvBlmi6yIhqXB/ikIIRqekSNHMvGhifq9LBc94S4P3bt4H/AFxHwTw/DU4az5\neg1t2rQ5ztZEfZOFParHMAwCXm+d7mPcuHHo1dO6oJPjK9AJ8rnoYv1T0H0RBwPXkpbW9qjb6dYN\nli2DZs306vMNSzkwHlgKPA0MA9pzzTXXmBqVaNgkMRZC1KsxY8ZQXFTMfePu0/XDfnQXinzIWZlD\nydYSZr82m6ysLLNDFYcJysS76gkGCdZxYvziiy8Cyeim35vQnzTdQG904b4HXby/Ef0HlnHMbbVq\npVuln3OOXhgj/AXRKwK9jf699wF3oSe4deZ4v6sQJyKJsRCi3sXGxvLAAw/wddXyuQcv6enpZocm\njkMS4+qpjxHjtm3bohPCPHQyfBHQA11G0Rg4HbgbuBGdRJYdd3tJSbrN2b/+BW53/fYArhkD3Rd4\nO3qkPBOYhv6A8Dp6Vm+ladGJhk8SYyGEENUjCxJUj2FAMFinu1i0aBF6pLgUvWRkAL2cZBDd/iUd\nXaPUEV17XH7CbSqlF91cvBi6dg230eMK9OmlPcBioBn6d7ah29tciR49LgBSmDVrlklxioZOEmMh\nhBDVYrFJ6/tqsViw1PHychZLCnqVtZXAl+jRYy96qeFTqr7fi06eK6seWz1duujFNl98UU/Mc7tD\nHHwN6KdcOXpU+N/o3xP0MssL0YtoWNBryVvRSy53ZuzYsfUeq4gMkhgLIYSoFiWJcbUoiwWr3V5n\n2x8xYgSG0R29opod3fx7MvAhuv9hMjqZzEYnxtmcqJTicErBtdfqFfL+/nedINdnazeXS1+uvhp0\n/8bb0TXFjwGfA08AO4DzgELgf0A+uiF6jiy3LE6aJMZCCCGqRUaMq0cB1jocMf7www+BgcAQ9MS6\nDejuEz2BGGAWugZ3HboXYjYWS+lJ7Ss2FsaNg9xceOYZyMzUI8h18etZLBAXB/HxcNttsHUrzJwJ\nOrFPQC+XuQj4Gngf3d/xM2AssArogy6l2Mjf//730AcoooK8ygkhhKgWR3w83sJCs8MIf0rhSEio\ns83bbDZ0UmgBfgccXDDChZ6E1wH4FPgCnTB3IxhcXqt9Ohzw+9/ry4YN8NZbMH067Nqlk+SSkpMr\nq46N1SXZVitcfjnccAP076+v/8qNTvAz0XXFp6MT/+noDhyd0KPKy9Aj4z5Gjhx58r+siGqSGAsh\nGjTDMCisLGRn0U52FO1gd8luKvwVBI0gNouNGHsMzeOb0yK+Bc3jmuO2m1gw2cAlZmVRsn272WGE\nPX9FBYnt2tXZ9h966CHGjHkV3bu4CzopDAKj0JPuitGT1NoAF6NHjkM3GbBdO7j/fn3Zs0dP1luw\nAObP16UX+fk6sXU4fu1uYRgQCEBFhR4RTk2FPn1gwAD9tW3b4y0yEkBPrpuHnmhXgP4Q8CJ6Gc08\nIBY9Oc9Damrd1neLyKbqsw6nd+/extKlS+ttf0KIyFPpr2RBzgIWbl/I55s/Z3nucir8FbhsLizK\ngj/oJ2j8mgRYLVasykrACFDuK6expzF9WvRh0CmD6Jfejx6pPVDh25sqrKybMYMVTz0lC32cgKNR\nI4YvXFin+2jevBW7diUBp6LXWc9GJ4dx6Pri1sBf0B0rxgGLMIy6X40PdBKcn6+TZp9PjyTb7dCo\nEaSlHZxQV31Dhw7lww9d6A8Cf0KXVTRCjyCfhf5956NrrXdJfbH4hVLqR8MwetfkZ2TEWAgR9ir9\nlXy26TNm/DSDjzd+jN1qp8xXhj/4a19dn7d6ydqe0j18sP4DPtv0GVaLFZfNxdWdr+baLtdyWvPT\nJEk+joT27bE6nZIYn0CjelixcefOrfzvf/9j2LBhGIYVnfz2A3YD76Anpk1DtzDbQnp6/S1rpxQk\nJ+tLKPz3v/8lJqYtlZUp6PppJ3qy4RJgM/p3jQP2SlIsak0SYyFE2NpXuo9JiycxcfFElFIUVRYB\nUO4/cU/WEzm4jRJvCc/98BzTVkwj2Z3MP87+B9d0uQanTU7HHi6hfXsClbJ4wnEpReMePeplV0OH\nDiUYDKJUDDAXXT5RgB493ohubVZBs2Y+cnJ21ktMdcFqtZKXt5LrrruRDz64Fd2JoxJoDuxi4MBz\nmDz5AVktU4SEdKUQQoSd3JJcRn4wkpZPt+Tf3/+bYm/xL0lxXQgYAUq8JWwr3MaYuWNI/U8qjy54\nlEq/JIGHciUmYnW5zA4jrNk8HpI6dqzXfRpGKQ89NJTY2NdJTPyMjIxy2rdvy8yZ4zGMrezc2XCT\n4oNiY2N5//13MIyN7Nv3DXfccQkTJ15LTs5CPvtsliTFImSkxlhEhXvuuQen08kDDzxgdijiOLwB\nL09+/yQPfvMgvoAPX9C8U/Yeu4d4ZzwvXfQSF7W7SEosqnx27bXkrVhhdhhhy+Z2M2T2bOJbtzY7\nFCGi3snUGMuIsYhoSUlJpKgUXnv8NSY/OBmLspCskklTaTRWjWmimvDUU0+ZHaYAFm5fSJtJbXjw\nmwcp85WZmhQDlPnKyC3J5ep3r2bA9AHsKt5lajzhonH37r+2GhBHCPp8xGZkmB2GEOIkSWIsIlJh\nYSEWZaHTgU6MYxwP8iBXcRWncRr96Ec66TSiEW7cvPl/b+Ks4+VbxbEFggEmfDWBQTMHsaNoB2W+\nmq3QVddKfaUs3LGQrGezmLNhjtnhmC6tXz9sHo/ZYYStpM6dsVirv/yyECK8yOQ7EZFatWpFRzry\nMA/TilZ48XId1/E4jwNgx877vE888WxnO429jU2OODrtLd3LxW9ezOq9q0Myoa6u+IN+iiqLuOqd\nq/h9t98z6YJJ2CzR+fLZtE8fSfyOwRYTQ7trrzU7DCFELciIsYhI1gIrHehAW9pSQQVOnLzGa2xl\nKx/xEd3pTjLJPM7jXMmVKBR2u93ssKNKdn423V/ozrLdy8JulPhYynxlzPhpBoNfHdxgYg41i9XK\nKZdfjkX+Xo5gBIOkDxxodhhCiFqQxFhEJBs2SinFj58ccriTO8kll0EMYiADeZEXKaecl3mZkYwk\nlVT8fv+JNyxCYumupfR+qTd7Svf8phdxQ1DmK2PhjoX0eaUPeWV5Zodjiszhw1HHXqYsKimLhZZD\nhmCN4LKsHj30YjgHL1KCJiKRvLKJiLSHPWxhCx/yIbOZzSAGcSd30oMejGY0IxjBPvbxEz+xj33Y\nsTN58mSzw44K3+V8x4DpAyisLPzNCnUNSYW/gvV56+n9Um/2lu41O5x6F9+qFXEtW5odRlixOJ20\nveoqs8OoE5988glKKVasWA10AroDzfB6gyjViPHjn+HVV99jz549JkcqRO1JYiwiUhpp+PHzDu+w\nmtV0ohM/8zNBghgYtKMdLWjBJVzCMzxDHnkMGTLE7LAj3orcFQx5fQilvlKzQ6k1b9DLruJdnDn1\nTAorCs0Op961v+46mYR3CGdCAkmdO5sdRp248MILgWTgWuBF4FFgENAXGMkjj5Rxww1z+b//m0Ru\nbv0sOy1EXZHEWESkAAF+x++YylQSSCBAAA8eKqmknHKSScaBgwQS2M1uYomlZ8+eZocd0XYU7WDg\nzIGUeEvMDiVkfEEfOYU5XPTGRfgCtW8vp5RC2RQqtuoSxm3RMoYMwQgEzA4jLFidTtpdfXVY/3+d\nrF9/pzbAFcCdwGPo1fUGAynA74FLeOONQj7++BtT4hQiVCQxFhEpSJB44vHhYwAD+JZviSGGBBJI\nJJEP+AArVnLJpTe9OYdzKCuLzslU9aHEW8K5M86NyJHVykAly3KXMerDUdRkwaSYmBhUokKlKVRy\nVRKcBnRGr3TrBlIJ22TLHhNDi4EDUbbo7M5xuNZDh5odQh1rDtwHXIxOkDOAVMAFLAGaAW149tnX\nTYtQiFCQxFhEpHzy2cIWfuInbuAG9rKXsYzlWZ7lNm7jPd4jiyza0Y444ljDGtq3b2922BHJMAyG\nvTWM7YXbCRiROcJY5itj9trZPLnoyWo9PiYmhrLkMjgPuBo4H0gH8oEuwCVAPyAAJMFFF11UN4HX\nUs+774767hRWl4uOI0fiTkkxO5Q6thT9yc1ddX0+MB6YA7wB/ABUsmzZ9+aEJ0SISGIsIlIrWvE1\nX/MFX/AGb9CBDuSSyyu8wgpW0IxmBAiwkIX8xE+sZCVr1qwxO+yI9OrKV1m0YxEVgQqzQ6lTZb4y\n7vvyPjblbzrxYx1l0AfoCBjAaiAW6Ar8DMwE/ld1H/DRRx/VTdC15E5Jodutt2J1u0/84AjlaNSI\njqNGmR1GnenRYxCQBJQADmASMAUYhv5ElwusA7YCG4G2zJ4925RYhQgFVZNTf7XVu3dvY+nSpfW2\nPxG9lFKcy7ksYAEZZFBJJQc4wGhGY2AwiUk0pzl27KxjHRs3biQzM9PssCNOQUUBrZ5uRWFl5JVQ\nHI1VWTkz40zm/37+cUsgVJqCEYAdeAGdIDdBJ8KV6LPTa4DtgA/sdjter7fO4z8ZQb+fORdfTElO\njtmh1Dury8VZkyeT1q+f2aHUGaWc6JHiNGAzkAU8D3SoesSXwO3oEotSIJPU1OfZvXutCdEK8VtK\nqR8Nw+hdk5+REWMRkQzD4Eu+pB3tyCEHA4ORjGQgAzmDM7icyymmmBJKsFgsEZkUb926lWeffZaV\nK1eaFsPfPvsblYFK0/Zf3wJGgKW7lvLB+g+O/0AfsB89MhyLToxbAi3Qc5kq0CWbTfTDv/8+fE9P\nW2w2+v7rX1hdLrNDqVfKZiO1T5+IToo1L7q+eCD6iTmMX5NigHOBM4AZ6CdvAvv3F9d3kEKEjCTG\nImIZhsH0pdNJaJKAu62biUxkNKO5gzt4ndfZy152sINAhMysT0hI+KXxfiPViOGth/PVLV/xl25/\nIUWlMGXKlHqN58ddP/LGqjeo8Ed2CcXhSn2ljPpwFKXe47Sk24+er1SMTozL0clyHnrQTQEF6A5Z\nQEVFeB/DlO7dSR80CIvDYXYo9cZis3Hq/febHUY96QX8DXCiyyoOl4AutYgFFhETEzmdZ0T0kenE\nIqL16tXLvKbzBpCDLr3bccilouo+O3qAJQM9IJMOtK+6vYZcysVpnEYXujCTmQxlKCMZiR8/aaQx\nlanc9ae7cLlcXHvttSH45Y4vEAxww39viLqk+KBSbyn3zb+PJwcffTJeVlYWP//8s84nrOjOV6no\nnCMAbEM/VxL04/v06RPyGIPBIMuWLWPt2rU0b96cs88+G1stOkz0GjuWHfPnEwzTko9QsrrddL35\nZjxNm5odSj1IQp/KKAVigE+Bq9D1xqBrjL8DEoEVwI8MjfgOHSKSSY2xEKFiAMvQ7xvzgB/RSY69\n6msFcPjqxwo9ydsOBNH1pe3QZycHoue2nOAMdaNGjehW1I1/8k/GM54SSuhCFxw4aE5zNrOZDDKY\ny1zWshafUft+uyfy/A/Pc9e8uyJiIY+T5ba5WXrTUjqmdDziPqWUHoRbBbRFjyC3BRqjB94MYC1w\nALCAURKa1+nNmzfTrk0bmtps+IEmDgcZHg9xLVoQaNKEidOm0axZs5Pe/ra5c1k0fjyBMB/hrg1l\nt5PQti2D33wTSxS0qlOqBXADcCr6iTkG/eJ0ETpZfgf4Gv0iNgBYjGHsNCVWIQ53MjXGkhgLUVvL\ngVeB19HvE170afHaUEBc1XbOB24EfsdRR5OVUgxmMIUUEiDAVrZyFmfRj34kkkhXujKLWbzHezhw\n4Mv0sXHjxloGeGyl3lJS/5MaUQt5nAyLsnBm+pl8/Yevj7hPuZU+W5CJ7nLVB50ol6LPVruAr4Dv\nIC4ujqKiopDEpJQixmLBpRTd4+I4PT4epRQ2YH1FBatcLj5ftIjU1NST3sdPkyezbsYMAuXlIYk5\nrCiFu3FjLnz/fZwJCWZHUy9iY+MpLb0M3TLFjh4p/kfVVx/6k1wM4AHyWLnyO7p06WJWuEL8hky+\nE6K+BIEPgZ7AmcBkYC86sQnFgKwBFKFrTz9AD9ikAo9X3X4IN24a05j7uZ9JTOIO7mAnOzmXc+lC\nF+YxjyyycOAgSJBgdjAEAR7buz+/W6fbbyiCRpAlO5eQU3iUbg1W9GjwfvT/tRWdcySgk+Jg1XUr\nDBgwoNaxfPPNNziUwgMk2mx4rFY6eTzYlcJp0W8DLZ1OSnJzuey882pVd9/1llto1r8/Vqez1nGH\nG5vHw8Dp06MmKQYoKMgHPgG+RZ/6Wgs0BRTJycnY7ZXAHq6+ug+GUSRJsWjwJDEWoiYM4F10B4Fr\n0KPFZRxZIhFqxejFHyaguybdA5RCTk4OnejEeMbThz64cHGAAzhwcCM38jIv8w3fcD/3s5OdxBNP\nDjksWbKkzkKdtHhS1I8WH2RgMG35tCPvKAXigQ3o51R21W0G+mxBJbo23Q2zZs2qVQw//PADfxo2\njASrlTMSE7m1eXOaO500cTqxWSzYlCLOZsOtFBZg7erVvPfeeye9P6UU/R57jIQOHSJqMp7V5WLA\n888T36qV2aHUK5vNRjCYS3r6j8AdwCQuvLAFgcAW8vJW4/V6MQyDN954w+xQhQgJSYyFqK7VQF/g\n9+iJUWbkfmVVl8lABmx/fDsd6YgHD2tYw8M8TCc60Yc+3MzNxBNPKqkMYQid6Uw55TShSa1OlR/P\n5gObWbNPFko5qDJQyQtLXzhiqWjDMPQZhkT0Geid6DMQeu6SPkuwB+6++W7ctVw8Y/xdd9ESSHI4\nGN64Mc1dLlo4nWSXlRFvseALBmlst7PP58NnGJQAa9fWrget1eHg3JdfptEpp2CJgJFjq8tF/6ef\npkmvXmaHYgqlFDk5ORiGgWEYfPTRR1gskj6IyCTPbCFOxIfuVHQauh40HOaTlQP50GdqH8YyFgsW\nZjOboQylE51oRSvyyKM3vbmRGxnHOM7nfHrRixhiePrpp+skrCnLphA06rZUo6Ep8ZWwIGfBEbcb\nPoPMmEzdoq0Cxl4xlh55PUhYkkCflD6U7S/jscceq/X+92Rn4wdS7XZiqiaLnZuYyMbycuYdOEB2\neTmf5efzVUEBp7hcJNntdOx45ITBmrLHxHDeq6+S0q1bg+5xbPN4GPD88zTr39/sUIQQ9eCEibFS\nqr1SasUhlyKl1O1Kqe5KqUVVty1VSp1WHwELUa+2oCdFPY9ORsMs57OWW2lDG5rQhHTS6UUvcsml\nkEJSSOFyLqcpTWlCE0YwguSqf7UdhTyaoBHkpWUv4Q1Efruumij1lvLcD88d9b6NGzf+Mgr3yCOP\nsGzRMg7kHeD7778P2f+RJzGRgrIy9vh8lAeDBIEYm40bU1Mp8vuZk5eHzzDoFhtLnN1OIBjksssu\nC8m+bR4P57z8Mi0GDmxwy0YriwVHo0ac//rrND1N3t6EiBYnTIwNw1hvGEZ3wzC6o1OEMuC/6GlA\nE6puv7/quhCR43/oidhr0c/6MGXHjhMnoxmNDRuVVLKZzWSSSYAAfvw4cFBEEVlk4cXLxRdfHPI4\nvtr6VdT2LT4eA4MP1n9gWt31eZdeSo7fz+7KSt7bt499Xi/BYJA1paVs93pJstlobLcTNAwO+HwU\nBQJYrdaQ7d9is9HvscfoNGpUgxk5trpcxLdpwwXvvENCu3ZmhyOEqEc1LaUYCGwyDGMbeppIfNXt\njYBdoQxMCFM9C4xA1xE3kIXx3LhpSUv6059kkvmBH9iIbsu2gQ0ArGMdeeTVyYIRz/3w3PFXe4ti\nVmXl3bXmdOuYN2cOcTYbhcEg3xcUMGnHDh7Yto139+2jg8tFssPB8pISNpSXs7q0lDlz54Y8BqUU\nnf/8Z86dMgVnUhIW+0msYlNPrC4Xba+6igtmzyamFj2dI4XP5yM2NrZqVc0slOqKUu6q621RqhmN\nGjVi3bp1ZocqREjUqI+xUmoqsMwwjGeUUlnopQwUOsHuV5UwH/4zNwE3AWRkZPTatu2IhwgRPgxg\nPDCRsB4lPp4KKtjFLm7iJnrTm3a0ozGN+YmfeJ3XySYbvxH6NhrJjyeTX54f8u1Giis6XsHbV7xd\n7/vtlpGBp6CALeXlXJCcTN/YWLzBIA6HA6thMGf/fj7Nz6e86r2grnvbe4uKWHTffexesCCsFgKx\nulzYPB76PfYYaf36mR1OWMjLyyMlJQW9NvlQ4Hp0Tdn/AZegVyLKRzdx/5b335/JJZdcYla4Qhyh\nTvsYK6Uc6L+M2VU3/RW4wzCMdHQPlylH+znDMF4yDKO3YRi99R+YEGHKAG6jQSfFAC5ctKAFr/M6\nXrxMYxp3cRfP8AwllPDvp/4d8n3ml+dLi7YTWLZ7mSn77XbGGTSrWumuOBgkxuEg0eUixmLBbrFQ\nGQxSWU9JMYAjPp6zJk7knJdeIq5lS2wm1x4rqxWr00nWH//IJfPmSVJ8CP2e3QhoBcQCLwBXoJfr\nXAA8B/QGJgFtGTbsD+YEKkQI1aSU4gL0aPGequu/Bw42u5yNnrMvRMP1APrjXQNOig9y4KARjRjJ\nSDazmSBByijjln/dwu233x7y/a3csxK3rWFNrqpvOYU5+AJ1vxz34f42dizLvV5K/H42lJayoaxM\nT/gDVpWUsLasjCSrlfvvv79e42rSqxe/+/BDet57L66UFGweT73u3+JwYHE4yBgyhIs++oiuo0dj\nayA10PWnBbqpdiwwCN1X8FrgafQIQnfganTPwa6Y08NSiNCqyULvVwNvHnJ9F3A2euHSc4G6W2NW\niLr2Bnr6aAQkxQe5cNHJ1Ymd5+yEOdRpc8afcn+iMlBZdzuIAE6bk/X719O5Sed63W/Xrl2ZOmcO\nY/74R7K3bOG1PXto5nAQMAy2VVSwy+cjMzOTCRMm1GtcABarlczhwznl0kvZOX8+K595hpLt2zEC\nAYK+uvkQYYuJgWCQtiNG0OH3v8ctZzKPqmfPnkBjdLJ7ObolTyPgoaqvRcAoYA9wN1CATqCFaNiq\nlRgrpWKA84A/H3LzKGCiUsoGVFBVRyxEg/Md+tkcQUnxLyqAr9F9mJ+su90s2rFIOlKcgEKxcs/K\nek+MQS8rvXLzZkCvhPfwww+zfPlyBp59NjNnzqz3eA5nsVpJHzSI9EGDKMzOZusnn7Dl/fepLCgA\npQiUl5/0tpXNhs3lIujzkXbGGbQeNoy0M86Q0eETWL58OTrRbQdkoJtRnQp4gRlALnot8yAwF/3J\nu9CUWIUIpRpNvqut3r17G0uXLq23/QlxQjuBjujBj0jmQfdivqFuNt92cluy87PrZuORIgixa2OZ\nec1MLr30UrOjaRCKtmxh3/Ll7Fm8mH3LllGWm6tLIGw2XQ8dDOqvSukuCVYrRjBIoLISq8NBYlYW\nqX37ktK9O4179JBkuAZcLheVlR6gH3rS3bfAASAL6IQ+URwHvIoeRfYBenJ9feYVQhzPyUy+k8RY\nRLeL0L1VQt+kIfzEoRcsSQ7tZv1BP56HPfiC9V8/2+DsBGZAVpusWi+7HI2Cfj8VeXmU7dlDWW4u\nvrIyDJ8PZbVisdtxp6TgbtIET9Om2GPltH5tZGdn07btGcBI9OgwwDx019Y70CUWXmATsAp4BygG\niiUxFmHjZBLjmtQYCxFZPgXmEx1JMeg5NLejB3hCKDs/G6fVKYlxdVRN8v9508907dqVlStXmh1R\ng2Kx2fCkpuJJTYVu3cwOJ6JlZmYCe4Ec4HzgEaALurTCQJdZbAaaoV9EA+iSizVmhCtEyNThdBwh\nwlgF8Acis674WLzAu8Ci0G52f9l+rJbQrZQW0WxAGyAFVm1cxaJFIf7PECKEVq1aBXyB7lN8sJdx\nHtCy6nI+uk5rMbreuJUpcQoRSpIYi+j0CNE5T6QcXWccwlFymXRXAxb0yH1zIAB9+/Y1OSAhjq1z\n584kJlYC36BHE86t+voKui4oB9219SvgTmAbxcXF5gQrRIhIYiyizybg30TXaPGhdgGTQ7c5adNW\nAxNJa6MAABnQSURBVAb6THQZeqBNiDCXn5/PjTeOQCfBHwKj0bXETwPj0LVZfwW+YNy44cRKbbdo\n4CQxFtHFQM8l8ZodiIlKgfuA3aHZXIW/Ar1chDihAGBHd0EpRF6BRYMwbdo0tm5dSrt283A4XsBi\ncWOxWPB4NtKsWXe6dVvASy8N4+GH/2F2qELUmky+E9Hla2ApOkGJZl7g7xxjIfeasSjJ7qpNAevQ\nZZqgW8AK0QC0bNmSpUtnM3/+t6xdu5UePa6gX79/ExcXZ3ZoQoSUJMYiukwmeksoDuUD3gKeBWrZ\n2tVlc6FQIQgqCihgPeAAyiA3N/cEPyBE+IiLi2Po0AsZOtTsSISoOzLUI6JHEfAxyFn/Klbgg9pv\nxmWTRROqTaEn7ifpq6mpqSYGI4QQ4nCSGIvo8TY6GRRaMTCp9ptxWp2130i0CKKT4lKzAxFCCHE0\nkhiL6DEJSUgOtwzYUbtNpDdKl84U1VWG7gpS1SrwnnvuMTMaIYQQh5HEWESH9UC22UGEqWm1+/Hm\ncc2xKhmKr5a96G4gVa2fH330UTOjEUIIcRhJjEV0eIXoWfq5JiqA56lV3bVSivbJ7UMVUeQKANuA\nEn3VMKTYXQghwo0kxiLyGei2ZD6zAwlTxdR6mejTW5weklAiWbwnnv+99D8Mw5CkWAghwpQkxiLy\nbeeXU9fiKLzAwtpt4tRmpxJjjwlJOJHKF/DRLbWb2WEIIYQ4DkmMReT7Cb3amDi6ECTG3VK7YbVI\nnfGJpMenmx2CEEKI45DEWES+5ciiHieyrHY/3jGlI2U+OcjH0y65HUrJQihCCBHOJDEWke97ZOLd\niexAjxyfJJfNRVpsWsjCiTQKJXXYx1BaWsqwYcPIyspCKUWcUqiqi00p3n33XbzeWjw5hRCiBiQx\nFpHvJ7MDaADcwLrabeKqzldht0jNytHEOmK5suOVZocRdiZPnkzrhAS2ff45zXfvpq3bjRdoYbdz\nfmIiVzVpwn/+8Aeuv/RS8vPzzQ5XCBEFJDEWka0U2Gd2EA2AQa0/QIzqOQqbxRaScCKN0+rknNbn\nmB1G2Jlw550MSUri/1q0oE9cHMUVFcRYLJybmMjFjRvTJTaWgYmJsGYNz0ycaHa4QogoIImxiGyr\nAY/ZQTQApcDS2m2iXXI7MpMyQxJOJHFYHYzqNQqLkpfbQ/3nP/8hxWajsd3O2M2bmbl3L26HgxYu\nF/t8Pr7Mz8cXDOK0Wknz+/n4zTfNDlkIEQXklVpEtjXohRXE8RnAD7XfzJjTx0jbtsNYlIU/9fyT\n2WGEnZ9//hnDMPjf/v2cm5jImQkJjGnRgotTUmjucJDqdLKypASXxYIF2LZ1q9khCyGigCTGIrIV\nIQt7VFdh7TdxZacrCRjySeRQWY2zOCXxFLPDCDuPPPII2ysq6Bkbi9NioY3bTazNRhObDWWxEGu1\nkuv1srqkhOyKCryBANnZsq67EKJuSWIsIlsFMmJcXZW130S8M54LMy9EIW3JAGLtsdx2+m1mhxGW\nduzYQZzNRguXC28wSNAwKPb72ef309LlItFmI9XpZHdlJZvLy+kcG8uZZ55pdthCiAgnibGIbJIY\nV18IEmOA0aeNJsYh5RQAASPA8I7DzQ4jLD32j3+QaLUy/8ABlhYXs7q0lA3l5Vj49Y2pNBBgQGIi\nHT0e7BYLe/bsMTNkIUQUkMRYhIXZs2cTa4+llWpFY9WY4cNDlEzImhPVF6JWsQNaDaBpTNPQbKwB\nc1ld3NDtBvmQcAwL5s2jucuF22rl2qZNibfZOODzUez3s7m8nJWlpZweH08ThwOPzUZ2ebnZIQsh\nooAkxsJ0EydO5PYrb6eHvwed6ER3urP63dW0bt269ht31H4TUSNEndYsysKMYTNw29yh2WAD5bK5\neGzQY2aHEbYqDYP9fj8DExOxWiy0dbspDQT4qaSEbZWVuJTCrhRby8tZUlTErsoQndIQQojjkMRY\nmO6e2++hHe3oV/VvMIPpRS/8W/2UlJTUbuNu5FleXSH8EHFGxhkM6zAMhzU6P5nE2GN45sJnaORq\nZHYoYWv0vfdS5PcTb7WS6nDQ0uWif0ICMVYrVqUo9vtZWFDA3Lw89ni9ModWCFEvJGUQpvL5fDSn\nOQMYwLVcy1CG4sZNMsm4cZMRl0GSSkIpRWJiIgcOHKjZDlyAtU5CjzzO0G5u4pCJUZkYW5SFjikd\nuabLNWaHEtYmTJhArs/HsuJidlVWsqOyEp9h0NLpZEVxMV8UFPBjYSHbvF7y/X7aAklJSWaHLYSI\ncJIYC1ONHz+edNK5i7toSUua0pSruZpkkqmggs505nqu50IuJLUgla5JXfniiy+qvwNJjKvPFdrN\npcSk8MR5T0RdX2On1cmMYTNQSjpznMiKdev4MRjk+6IitlZUsLKkhI8PHCDX58MRCOAPBrnBZuOy\nxo05YLOxceNGs0MWQkQ4SYyFqZYuXUoWWexhDz58xBHHZjZTTDGZZNKb3vjxU1nVMiGTTIYMGlL9\nHbQh5COhESsr9Ju8qddNtEpoFTXt29w2N3899a9kpdTBwYxAbdu25fNlyzjtllvw9+1Lq2uu4b3v\nv+f666+n0mLB43Ix2zCYm5/PP556SkaMhRB1ThmGUW876927t7F0aS3XnRUR5e6772bLE1u4jMvo\nSU8CBPiO73iXdxnOcDrQgSY0YQMbmMtcvuM7iikm26hmo//dwCnotm3i2FzAY8CY0G962e5lnDn1\nTMr9kd9VIMWTwpbbtkgnCiGECANKqR8Nw+hdk5+REWNhqgkTJrDKsoqVrGQxi3mN1/iKr+hHPwYx\niHTS2cteXLg4ndPpTGcqapLlphKybgsRzQF0rZtN90zryX1n3RfxJRUem4f3R7wvSbEQQjRgkhgL\nU7ndbiozKnmN15jFLL7iKzrRiTTSSCCBjKp/JZTgxEkTmvxSVlEtCuhQZ+FHjnKg25E3e72haW58\n75n3cmnWpXjsnpBsL9x4bB5eHvoy/dL7mR2KEEKIWpDEWJjusUcfoy99ySQTL1660IVdVf8MDDx4\nKKKILWzBggVvTVei6FM3cUeUOCBRf+v1emmf2R6lFLHOWJRS9O7Zm7S0NJRSv1xuvvnmam9eKcXU\noVPp1rQbTmtkFX177B7u7HendKEQQogIIImxMN1rz79GGmkMZjA2bGxkIymk8CIv8hIv8TqvM4c5\nFFPMz/xMz2Y9a7aDU4HYOgk9cnT+9dukhCQsmyyMYQzP8Rx/4S8ULS8iNzeXFFJw4aIxjXn7+bdR\nSrF8+fJq7cJutTP3urm0TmyN3WKvo1+kfnnsHq7sdCUTBkwwOxQhhBAhINWXwnQpzVNw42Yta+lM\nZ1aykk50ojnN+ZEfWclK3dOYDPrSl5UdVtZsB10hSpoinBwF9NXfer1eksqTuJ3buYmbABjJSEYw\nggIKyCCDS7iEdNJZzGK+5VsG9RzEfmN/tXYV74zn2z98S78p/cgpzKEy0HBXM/PYPQxtP5QpQ6dI\nazYhhIgQMmIsTPfPR//JN+ob9rGPTDIJEuQzPmM2s9nKVm7lVmYxi970Zq5rLn+9768120EW0pXi\neGKBqjm733zzDU1owtVc/cvdH/ABS1hCAglczuX0pz/ncA5jGcvVXE088TRt2rTau2vsaczSm5bS\nI61Hg1022mP3cPOpN/PGZW9gUfIyKoQQkUJe0YXp0tPTGfrgUD7hEz7iI7axjS1s4Ud+ZAUreJzH\nuVBdyJNNn+Se2fcwYMCAmu3ACQyqi8gjhB+oag3doUMHggTxVS3Au5e9jGY07WlPd7rTi15sZStv\n8RZFFHEGZ9CEJuzdu7dGu4x3xvP1jV8zuM3gBjchz2P38K+B/+KJ856QkWIhhIgw0sdYhI3KykrG\njRvHjh07uPfee+nRoweBQICSkhJiY2OxWmuxhN3HwAigOFTRRggFXAW8+etNaSqNUYxiKlNpQQu8\neH9plXcTN2HBwnzms4ENtKIV4xnPClZwMq8lQSPIEwufYMJXE8K+z7HdYifGEcPbw9/mvDbnmR2O\nEEKIEziZPsaSGIvo4AdSgAKzAwkzsegPDf1/vcmt3CSRxGhGM5ShvMM7/I7fsZKVJJPMeZxHkCAP\n8zD72Mc7vMOqbavIyMg46TB+2PkDQ98aSkF5ARWB8Kt7ibHH0COtB+9c8Q5NY6tfNiKEEMI8ssCH\nEMdiA/4IREYzhNCJBc789WpZWRl27PSlL9dzPZ3ohB07zWhGRzqyjW3MZS6LWcxCFrKGNbhw1Sop\nBji1+amsv2U9N3S7AbfNHTZLSDutTmIdsTw66FG+vvFrSYqFECLCSWIsoscopA/LoZzAX/lNxw6P\nx0MMMbSlLQkkANCVrixgATHEkEwyCSTwIz9yGqfxDu+QRRYbN26sdTjxznhevPhFloxaQu9mvU1d\nKc+qrLhtbq7pcg1bb9vKLafdIpPshBAiCsgrvYgeHYBTzA4ijCjgD0fe3IhGrGMdJZQAMIhB5JPP\nszzLalaziEWUUcY4xpFEEm7cVFaGru1a5yadWfynxbx9xdv0aNoDa9AKwZBt/rgcVgcum4vLsi5j\nyaglTL1kKsme5PrZuRBCCNPJ+JmILmOA/wNKzQ4kDHQH0o+8+eDKgg/xENdxHYkkUk45C1mIAweP\n8AhnczZOnCxgATnk0LFjx5CGppSiLW1ZMW4FRqYBHatiDQKOkO4Ki7IQY49BKcUfuv+Bu/rdRfP4\n5qHdiRBCiAZBEmMRXa4BxiGJsQd48Oh3lVHGPvbhxs14xmNgsJe9bGc7LWjBl3xJOeXsZCdv8Rbr\nWY/FEtqTT36/n3a92kEnYAfgBWKABHRP6oO14oqTOu8V54jDH/TjtDq5LOsyru92Pf0z+mO11KLz\niRBCiAZPEmMRXWKBF4Abid7k2A4M5Ji9ndPapmFsNFjMYuKIo4gitrAFgEIKmcMc5jOf/ewnn3y6\n9uga8hAff/xxSAXK0CPEPdFJsaq67AJWAmnoJD8RiAVrrBWbxYbVYkWhCBpB/EE/SikauxuTFpfG\nqc1O5exWZ9OnRR9aNmopvYiFEEL8Qtq1iehjAGcB3wMBk2MxQwywAWh29Lvz8/M5s82ZNC1oShZZ\nfMqnbGYzf/vb35g2bRrB/UH8+LFipWO/jnz33XchD9HlclHZplIn8SXAGUA+euQ4DkgGPuHXDzcK\n2A+BYID88nwq/BUEggHsVjsx9hjinfGSAAshRJSRPsZCVFc20BUI7zUlQi8G+CfwtxM/dNasWXzy\nySecccYZjBo1qo4D+602bdqwOX+zrivehx4Rbg20QPei3gxsBVzAHiAT+JmTWmRECCFEZJLEWIia\nGA88jT5dHy3aAOtoEEVUqpGCluikuBl6dLgSaIUuo1iNHk0eAXwJtkIbvgqfSdEKIYQIN7LAhxA1\n8Xcg3uwg6pEbmEGDSIrz8/N1yUQ7IAM9cpyBLqXYjK47TkOXVHwLHAB/nN+kaIUQQkQKSYxF9HID\nU9GTtyKdExiGrtVtAHbs2KHLPvzoVyk30Bg94h2Drj1uhk7yE4Hh1FuvYyGEEJFLEmMR3S4AbkYn\nW5HKhi5JeMnsQKovNjaW9OR0XToRBPIAH7p0wgBy0BPuytH/h6ugc7POZoUrhBAiQkhiLMRj6PZl\nbrMDqSONgC/RreoaiFatWjFy2EgGdBgAReiEeC2wCtiITpjXoe97C1y7XCxZssS0eIUQQkQGSYyF\nsABvoTsb2E/w2IbGA8wDGthCbhaLhTGjxnBx24vpZ+kHXwNL0B0qdqE7UeTqxz4x5gnK95fjdkfq\nJxshhBD1RbpSCHHQfuBUYDu6trWh8wD/Q4+GN2AHDhyguLiYgoICmjRpQmpqqtkhCSGEaABOpitF\nA5ifLkQ9SQYWAmeilyGuNDecWvEA79Dgk2KAxMREEhMTycjIMDsUIYQQEU5KKYQ4VCrwI3rxj4Z4\nZl6hW9B9iZ6UJoQQQohqk8RYiMM1Ar5Bj7Y2pG4VDqAJuhb3dJNjEUIIIRogSYyFOBoXuj53Ag1j\n5DgGOAfduaG9ybEIIYQQDZQkxkIciwLuBBaguzqEY4JsQdcTPwZ8AiSZG44QQgjRkEliLMSJ9ATW\nA6PRybHV3HB+EQP0A5ahY1PmhiOEEEI0dJIYC1EdMcAT6AUmBqBHac1KRGPRkwTfRNdCS+mEEEII\nERKSGAtRE22Az4EvgCHoWuT6anoYC7QGngW2ARcjo8RCCCFECEliLMTJ6AN8DKwG/gQkAHGE/i8q\nDnACg4B3gU3ADegOFEIIIYQIKUmMhaiNNsDz6FXzPgJGoifqOdD9hGtajxyHLtOIA84HXkAvgzyv\n6rqMEAshhBB1Rla+EyIULED/qgtAPrqf8CLgZ2ALsAso4Nflpq3oJDgVyAAygdOAvuiSCUmChRBC\niHolibEQdSEJXYM8xOxAhBBCCFFdUkohhBBCCCEEkhgLIYQQQggBSGIshBBCCCEEIImxEEIIIYQQ\ngCTGQgghhBBCANXoSqGUag/MOuSmU4D70U2lDi5GmwAUGIbRPeQRCiGEEEIIUQ9OmBgbhrEe6A6g\nlLICO4H/Gobx9MHHKKX+AxTWVZBCCCGEEELUtZqWUgwENhmGse3gDUopBVwJvBnKwISIVi+//DJK\nqd9cklQSXVVXnMrJggULzA5RCCGEiEjKMIzqP1ipqcAywzCeOeS2s4AnDcPofYyfuQm4qepqZ2D1\nyYcbNRoDeWYH0UDIsaoeOU7VJ8eqeuQ4VY8cp+qTY1U9cpyqr71hGHE1+YFqJ8ZKKQd6UdtOhmHs\nOeT254FswzD+U41tLD1WAi1+Jcep+uRYVY8cp+qTY1U9cpyqR45T9cmxqh45TtV3MseqJktCX4Ae\nLT40KbYBlwG9arJTIYQQQgghwk1Naoyv5sg64kHAOsMwdoQuJCGEEEIIIepftRJjpVQMcB7w3mF3\njaBmk+5eqsFjo5kcp+qTY1U9cpyqT45V9chxqh45TtUnx6p65DhVX42PVY0m3wkhhBBCCBGpZOU7\nIYQQQgghkMRYCCGEEEIIoA4TY6XUVKXUXqXU6kNue0IptU4ptVIp9V+lVEJd7b+hOMZxerDqGK1Q\nSn2mlGpmZozh4mjH6pD77lRKGUqpxmbEFk6O8Zz6p1JqZ9VzaoVS6kIzYwwHx3o+KaVurXqdWqOU\netys+MLJMZ5Tsw55Pm1VSq0wM8ZwcIzj1F0ptajqOC1VSp1mZozh4BjHqZtS6nul1Cql1IdKqXgz\nYwwXSql0pdR8pdTaqtek26puT1JKzVNKbaz6mmh2rGY6znG6oup6UClVrbZtdTliPB0Yctht84DO\nhmF0BTYAY+tw/w3FdI48Tk8YhtHVMIzuwBzg/nqPKjxN58hjhVIqHTgfyKnvgMLUdI5ynICnDMPo\nXnX5uJ5jCkfTOew4KaXOAS4BuhmG0Qn4twlxhaPpHHasDMO46uDzCXiXIydnR6PpHPm39zgwoeo4\n3V91PdpN58jj9Apwr2EYXYD/AnfVd1Bhyg/caRhGR6APMFop1RG4F/jCMIy2wBdV16PZsY7TanRb\n4W+qu6E6S4wNw/gGyD/sts8Mw/BXXV0EtKir/TcUxzhORYdcjQFkhiRHP1ZVngLuRo4TcNzjJA5x\njOP0V+BRwzAqqx6zt94DC0PHe04ppRRwJTXrUBSRjnGcDODg6Gcj9EJZUe0Yx6kdvyYv84DL6zWo\nMGUYxm7DMJZVfV8M/Aw0R3+An1H1sBnAMHMiDA/HOk6GYfxsGMb6mmzLzBrjPwKfmLj/sKaUelgp\ntR24FhkxPial1CXATsMwfjI7lgbglqoSnanRftrtONoB/ZVSi5VSXyulTjU7oAagP7DHMIyNZgcS\npm4Hnqh6Pf83cqb0WNagkz34//bu5sWmOI7j+PsrDyU2ytOCRhO2npbKQ0ISWbCxIBvjYUGx8FD+\nAyULSiOlSagJf4CNjVEjsjAWahRmpigracp8LH5ncuOea2bh/n7T/bw2997O6dxv3845fc/v9z3n\nwEFgRcZYihQRXcB6YABYKmmkWjQKLM0UVnH+yNO0ZSmMI+ISadi7L8f/zwSSLklaQcrR6dzxlCgi\n5gMX8YXDVNwAuoF1wAjwz1e4d6jZwCLSVNx54EE1Imr1mr38yX47AZytzudngd7M8ZTqGHAyIgaB\nhcB45niKEhELSC1LZ/6YVUbpubueMaV1nqaq7YVxRBwF9gKH5YcoT0UfnlKq0w2sAl5HxDCpNedl\nRCzLGlWBJI1J+ilpArgFdPwNQDU+Av1KXgATQMff0FknImaT+vfu546lYEf43X/9EB97TUkakrRT\n0kbShdb73DGVIiLmkIq9PkmT+9JYRCyvli8HOr7tqyZP09bWwjgidpN6QfdJ+t7O/55JImJ1w8/9\nwFCuWEom6Y2kJZK6JHWRipoNkkYzh1acyRNo5QDphgT72yNgG0BErAHmAl+yRlS2HcCQpI+5AynY\nZ2BL9X074JaTJiJiSfU5C7gM3MwbURmqGate4K2kqw2LnpAuuqg+H7c7tpK0yNP0t/W/Bm0j4h6w\nlTTaMgZcIfVWzQO+Vqs9l9TzXwKYIWrytAdYSxqt+gD0SPqUK8ZSNMuVpN6G5cPAJkkdXcjU7FNb\nSW0UAoaB4w39aR2pJk93gdukXI0D5yQ9zRVjKeqOvYi4QzqPu4ihdp96B1wjten8AE5KGswVYwlq\n8rQAOFWt0g9c8KwyRMRm4BnwhlQTQGohHAAeACtJdcIhSR1703WLPM0DrgOLgW/AK0m7Wm7L+52Z\nmZmZmd98Z2ZmZmYGuDA2MzMzMwNcGJuZmZmZAS6MzczMzMwAF8ZmZmZmZoALYzMzMzMzwIWxmZmZ\nmRkAvwD+clvhpRapIAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vdB1dHupBI3I",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "colmap = {1: 'red', 2: 'green', 3: 'blue', 4: 'black', 5:'cyan', 6: 'yellow', 7: 'pink', 8: 'magenta', 9: 'orange', 10: 'brown'}\n",
        "colors = map(lambda x: colmap[x+1], labels)\n",
        "list(colors)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QiFrNv9WP3EZ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X3kfXGExYkC4",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 739
        },
        "outputId": "a487c4f1-fedd-4e08-bf70-f18689924256"
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import gmplot\n",
        "%matplotlib inline\n",
        "k_clusters = 2\n",
        "\n",
        "filter_states = ['AndhraPradesh','Pondicherry','Mizoram','AndamanandNicobarIslands','Meghalaya','HimachalPradesh']\n",
        "df_events_data = df_events_data[df_events_data.state.isin(filter_states)]\n",
        "\n",
        "keys = df_events_data['state'].unique()\n",
        "\n",
        "values_lat = []\n",
        "for istate in keys:\n",
        "  tlist = df_events_data[df_events_data['state'] == istate]['latitude'].values\n",
        "  values_lat.append(tlist)\n",
        "                     \n",
        "series_lat = pd.Series(values_lat,index = keys)\n",
        "\n",
        "values_long = []\n",
        "for istate in keys:\n",
        "  tlist = df_events_data[df_events_data['state'] == istate]['longitude'].values\n",
        "  values_long.append(tlist)\n",
        "                     \n",
        "series_long = pd.Series(values_long,index = keys)\n",
        "\n",
        "\n",
        "#Range lat,long\n",
        "# [81.90110,12.56700] to [41.87190,95.45946] mean 21.6+-6 78.1+-5 \n",
        "latitude_list = series_lat['Pondicherry']\n",
        "longitude_list = series_long['Pondicherry']\n",
        "\n",
        "#print(latitude_list)\n",
        "\n",
        "df = pd.DataFrame({\n",
        "    'x': latitude_list,\n",
        "    'y': longitude_list\n",
        "})\n",
        "\n",
        "lat_min = df['x'].min()\n",
        "lat_max = df['x'].max()\n",
        "\n",
        "long_min = df['y'].min()\n",
        "long_max = df['y'].max()\n",
        "\n",
        "from sklearn.cluster import KMeans\n",
        "\n",
        "kmeans = KMeans(n_clusters=k_clusters)\n",
        "kmeans.fit(df)\n",
        "\n",
        "labels = kmeans.predict(df)\n",
        "centroids = kmeans.cluster_centers_\n",
        "\n",
        "fig = plt.figure(figsize=(12, 12))\n",
        "\n",
        "colors = list(map(lambda x: colmap[x+1], labels))\n",
        "\n",
        "plt.scatter(df['x'], df['y'], color=colors, alpha=0.5, edgecolor='k')\n",
        "for idx, centroid in enumerate(centroids):\n",
        "    plt.scatter(*centroid, color=colmap[idx+1])\n",
        "    plt.gca().add_artist(plt.Circle(centroid, 0.1, color=colmap[idx+1], fill=False))\n",
        "plt.xlim(lat_min-1, lat_max+1)\n",
        "plt.ylim(long_min-1,long_max+1)\n",
        "\n",
        "ax.set_aspect('equal', adjustable='datalim')\n",
        "ax.plot()   #Causes an autoscale update.\n",
        "\n",
        "plt.show()\n",
        "\n",
        "latitude_list = []\n",
        "for i in range(len(centroids)):\n",
        "  latitude_list.append(centroids[i][0])\n",
        "\n",
        "longitude_list = []\n",
        "for i in range(len(centroids)):\n",
        "  longitude_list.append(centroids[i][1])\n",
        "\n",
        "print(latitude_list)\n",
        "print(longitude_list)\n",
        "\n",
        "#Base Map Pondicherry\n",
        "gmap4 = gmplot.GoogleMapPlotter(11.9416,79.8083, 4.5)\n",
        "\n",
        "gmap4.heatmap( latitude_list, longitude_list )\n",
        "gmap4.draw(\"/content/gdrive//My Drive/capstone/pondicherry_hm.html\")\n",
        "\n",
        "#import os\n",
        "#os.system(\"/content/gdrive//My Drive/capstone/ap_hm.html\")"
      ],
      "execution_count": 159,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Fb9G7U+8m9Zk2bRrtlrSDx0ifI/+d9Ff8LWBn0lbip5FmriOpJORI0lpep5MK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\nAKzY6WvMaIvVAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "[11.988589913978496, 10.970516765721326]\n",
            "[79.8641207139785, 79.88287483847103]\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}