prophet_prediction_usa.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "prophet_prediction_usa.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOMTsxdRQHCf/hWRDs6bJ4N",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "TPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/EXYNOS-999/corona_prophet/blob/master/prophet_prediction_usa.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CcR93ssCwAmF",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6WTcjX-NvbNz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "data=pd.read_csv(\"/content/usa_formatted.csv\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wsT5CexZvgS4",
        "colab_type": "code",
        "outputId": "a237c045-c9be-4536-d5b4-13ce3df7e77f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 246
        }
      },
      "source": [
        "data.info()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 10 entries, 0 to 9\n",
            "Data columns (total 7 columns):\n",
            "Unnamed: 0         10 non-null int64\n",
            "Last Update        10 non-null object\n",
            "Confirmed          10 non-null float64\n",
            "Deaths             10 non-null float64\n",
            "Recovered          10 non-null float64\n",
            "Currency           10 non-null float64\n",
            "SharePrice(USD)    10 non-null float64\n",
            "dtypes: float64(5), int64(1), object(1)\n",
            "memory usage: 688.0+ bytes\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bodsAzJqwPnL",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "data['Last Update'] = pd.to_datetime(data['Last Update'])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Dfd3zGhrwSC4",
        "colab_type": "code",
        "outputId": "2292c8ab-2d3e-4715-a8bc-2495716ca393",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 776
        }
      },
      "source": [
        "usa=data[data['Country']=='US']\n",
        "mchina=data[data['Country']=='Mainland China']\n",
        "mchina=data[data['Country']=='China']\n",
        "mchina.sort_values(['Last Update'])"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "error",
          "ename": "KeyError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
            "\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pandas/core/indexes/base.py\u001b[0m in \u001b[0;36mget_loc\u001b[0;34m(self, key, method, tolerance)\u001b[0m\n\u001b[1;32m   2896\u001b[0m             \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2897\u001b[0;31m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2898\u001b[0m             \u001b[0;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;31mKeyError\u001b[0m: 'Country'",
            "\nDuring handling of the above exception, another exception occurred:\n",
            "\u001b[0;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-9-d786d641627d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0musa\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'Country'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;34m'US'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36m__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m   2993\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnlevels\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2994\u001b[0m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_getitem_multilevel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2995\u001b[0;31m             \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2996\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mis_integer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindexer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2997\u001b[0m                 \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mindexer\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pandas/core/indexes/base.py\u001b[0m in \u001b[0;36mget_loc\u001b[0;34m(self, key, method, tolerance)\u001b[0m\n\u001b[1;32m   2897\u001b[0m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2898\u001b[0m             \u001b[0;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2899\u001b[0;31m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_maybe_cast_indexer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2900\u001b[0m         \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_indexer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmethod\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtolerance\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mtolerance\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2901\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mindexer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mindexer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msize\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
            "\u001b[0;31mKeyError\u001b[0m: 'Country'"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3T7pb0x_wmIS",
        "colab_type": "code",
        "outputId": "9151798d-3982-40c1-b260-6c1475b78b91",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 332
        }
      },
      "source": [
        "hk=data[data['Country']=='Hong Kong']\n",
        "hkgrouped_country=data.groupby(\"Country\")[['Confirmed', 'Deaths', 'Recovered']]"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\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>Sno</th>\n",
              "      <th>Province/State</th>\n",
              "      <th>Country</th>\n",
              "      <th>Last Update</th>\n",
              "      <th>Confirmed</th>\n",
              "      <th>Deaths</th>\n",
              "      <th>Recovered</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>50</th>\n",
              "      <td>51</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-23 12:00:00</td>\n",
              "      <td>2.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>108</th>\n",
              "      <td>109</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-24 12:00:00</td>\n",
              "      <td>2.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>150</th>\n",
              "      <td>151</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-25 12:00:00</td>\n",
              "      <td>5.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>193</th>\n",
              "      <td>194</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-26 23:00:00</td>\n",
              "      <td>8.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>241</th>\n",
              "      <td>242</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-27 20:30:00</td>\n",
              "      <td>8.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>296</th>\n",
              "      <td>297</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-28 23:00:00</td>\n",
              "      <td>8.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>348</th>\n",
              "      <td>349</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-29 21:00:00</td>\n",
              "      <td>10.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>404</th>\n",
              "      <td>405</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-30 21:30:00</td>\n",
              "      <td>12.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>463</th>\n",
              "      <td>464</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>Hong Kong</td>\n",
              "      <td>2020-01-31 19:00:00</td>\n",
              "      <td>13.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     Sno Province/State    Country  ... Confirmed  Deaths  Recovered\n",
              "50    51      Hong Kong  Hong Kong  ...       2.0     0.0        0.0\n",
              "108  109      Hong Kong  Hong Kong  ...       2.0     0.0        0.0\n",
              "150  151      Hong Kong  Hong Kong  ...       5.0     0.0        0.0\n",
              "193  194      Hong Kong  Hong Kong  ...       8.0     0.0        0.0\n",
              "241  242      Hong Kong  Hong Kong  ...       8.0     0.0        0.0\n",
              "296  297      Hong Kong  Hong Kong  ...       8.0     0.0        0.0\n",
              "348  349      Hong Kong  Hong Kong  ...      10.0     0.0        0.0\n",
              "404  405      Hong Kong  Hong Kong  ...      12.0     0.0        0.0\n",
              "463  464      Hong Kong  Hong Kong  ...      13.0     0.0        0.0\n",
              "\n",
              "[9 rows x 7 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oG-6pVeGwphY",
        "colab_type": "code",
        "outputId": "460b33af-1912-43c2-f156-945e710729c5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 113
        }
      },
      "source": [
        "grouped_country=data.groupby(\"Country\")[['Confirmed', 'Deaths', 'Recovered']]\n",
        "china=data[(data['Country']=='China') |( data['Country']=='Mainland China')|( data['Country']=='Hong Kong')]\n",
        "china['Country'].replace('Mainland China','Chinese Sub',inplace=True)\n",
        "china['Country'].replace('Hong Kong','Chinese Sub',inplace=True)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/pandas/core/generic.py:6786: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  self._update_inplace(new_data)\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iTFLUadfu-Zp",
        "colab_type": "code",
        "outputId": "d3dc5004-6ade-407e-a43c-1d05f8801c12",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 305
        }
      },
      "source": [
        "!pip install prophet"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting prophet\n",
            "  Downloading https://files.pythonhosted.org/packages/1b/1c/61c969e76119a8257220869a6b3b57cd2ad4fbe0fd69b9b6845bfcf135aa/prophet-0.1.1.tar.gz\n",
            "Requirement already satisfied: pytz>=2014.9 in /usr/local/lib/python3.6/dist-packages (from prophet) (2018.9)\n",
            "Requirement already satisfied: pandas>=0.15.1 in /usr/local/lib/python3.6/dist-packages (from prophet) (0.25.3)\n",
            "Requirement already satisfied: six>=1.8.0 in /usr/local/lib/python3.6/dist-packages (from prophet) (1.12.0)\n",
            "Requirement already satisfied: numpy>=1.13.3 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.15.1->prophet) (1.17.5)\n",
            "Requirement already satisfied: python-dateutil>=2.6.1 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.15.1->prophet) (2.6.1)\n",
            "Building wheels for collected packages: prophet\n",
            "  Building wheel for prophet (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for prophet: filename=prophet-0.1.1-cp36-none-any.whl size=12168 sha256=980dfafd886833abcf12644b204b9044ed5eb19d776e062712288074ef0585ed\n",
            "  Stored in directory: /root/.cache/pip/wheels/77/3e/f3/1c536bf1f871f818686e7fbf31cab18d52787a72dea8640756\n",
            "Successfully built prophet\n",
            "Installing collected packages: prophet\n",
            "Successfully installed prophet-0.1.1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hqk5hn9EvLyN",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from fbprophet import Prophet\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "atWZ_Yb2xEyx",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "usa.columns=['ds','y','Deaths','Recovered']\n",
        "usa=usa.drop(columns=['Recovered','Deaths'])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RWXQl8XVxINZ",
        "colab_type": "code",
        "outputId": "3cb6ac0c-9b64-45ec-c089-57c9d1841055",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 113
        }
      },
      "source": [
        "m = Prophet()\n",
        "m.fit(chinese)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:numexpr.utils:NumExpr defaulting to 2 threads.\n",
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<fbprophet.forecaster.Prophet at 0x7fdc6d820cf8>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_IQinABVxOJ_",
        "colab_type": "code",
        "outputId": "f748a163-11b8-4838-e89b-7bafa71ddbe2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        }
      },
      "source": [
        "future = m.make_future_dataframe(periods=7,include_history=True)\n",
        "future.tail()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "\n",
              "    .dataframe thead th {\n",
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              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>ds</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>2020-02-03 19:00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>2020-02-04 19:00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>2020-02-05 19:00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>2020-02-06 19:00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>2020-02-07 19:00:00</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    ds\n",
              "13 2020-02-03 19:00:00\n",
              "14 2020-02-04 19:00:00\n",
              "15 2020-02-05 19:00:00\n",
              "16 2020-02-06 19:00:00\n",
              "17 2020-02-07 19:00:00"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EsSvXDF9xRs3",
        "colab_type": "code",
        "outputId": "9abad4b2-e00c-4e8d-dddc-06833069ee84",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        }
      },
      "source": [
        "forecast = m.predict(future)\n",
        "forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()"
      ],
      "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",
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              "    }\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>ds</th>\n",
              "      <th>yhat</th>\n",
              "      <th>yhat_lower</th>\n",
              "      <th>yhat_upper</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>2020-02-03 19:00:00</td>\n",
              "      <td>13960.896227</td>\n",
              "      <td>13087.075800</td>\n",
              "      <td>14885.136401</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>2020-02-04 19:00:00</td>\n",
              "      <td>14872.690130</td>\n",
              "      <td>13928.715061</td>\n",
              "      <td>15726.489044</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>2020-02-05 19:00:00</td>\n",
              "      <td>15784.484034</td>\n",
              "      <td>14834.887760</td>\n",
              "      <td>16675.820136</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>2020-02-06 19:00:00</td>\n",
              "      <td>16696.277937</td>\n",
              "      <td>15790.846642</td>\n",
              "      <td>17652.380216</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>2020-02-07 19:00:00</td>\n",
              "      <td>17608.071842</td>\n",
              "      <td>16699.720005</td>\n",
              "      <td>18482.690718</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    ds          yhat    yhat_lower    yhat_upper\n",
              "13 2020-02-03 19:00:00  13960.896227  13087.075800  14885.136401\n",
              "14 2020-02-04 19:00:00  14872.690130  13928.715061  15726.489044\n",
              "15 2020-02-05 19:00:00  15784.484034  14834.887760  16675.820136\n",
              "16 2020-02-06 19:00:00  16696.277937  15790.846642  17652.380216\n",
              "17 2020-02-07 19:00:00  17608.071842  16699.720005  18482.690718"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kCIQm97OxmU-",
        "colab_type": "code",
        "outputId": "2a825795-5842-4831-8ade-d01406e669c2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 865
        }
      },
      "source": [
        "m.plot_components(forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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MTrQwxWYm1x7DiEFh9A/6x5/elqYenLD4LIU/ERGRr8EwDMqcJ3CUOXGUO3n/cFf/XnxU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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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MTrQwxWYm1x7DiEFh9A/6x5/elqYenLD4LIU/ERGRr8EwDMqcJ3CUOXGUO3n/cFf/XnxU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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H1i1Vjayxp-1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "res=m.predict(future)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "p1R118NNxsxp",
        "colab_type": "code",
        "outputId": "492f4bba-ee8a-452c-f326-1a3c08a763d2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 947
        }
      },
      "source": [
        "res\n",
        "res.iloc[10]"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\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>ds</th>\n",
              "      <th>trend</th>\n",
              "      <th>yhat_lower</th>\n",
              "      <th>yhat_upper</th>\n",
              "      <th>trend_lower</th>\n",
              "      <th>trend_upper</th>\n",
              "      <th>additive_terms</th>\n",
              "      <th>additive_terms_lower</th>\n",
              "      <th>additive_terms_upper</th>\n",
              "      <th>daily</th>\n",
              "      <th>daily_lower</th>\n",
              "      <th>daily_upper</th>\n",
              "      <th>multiplicative_terms</th>\n",
              "      <th>multiplicative_terms_lower</th>\n",
              "      <th>multiplicative_terms_upper</th>\n",
              "      <th>yhat</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2020-01-22 12:00:00</td>\n",
              "      <td>33171.296277</td>\n",
              "      <td>-1516.494443</td>\n",
              "      <td>226.544779</td>\n",
              "      <td>33171.296277</td>\n",
              "      <td>33171.296277</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>-634.053583</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2020-01-23 12:00:00</td>\n",
              "      <td>34083.090171</td>\n",
              "      <td>-663.348591</td>\n",
              "      <td>1219.989847</td>\n",
              "      <td>34083.090171</td>\n",
              "      <td>34083.090171</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>277.740314</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2020-01-24 12:00:00</td>\n",
              "      <td>34994.884066</td>\n",
              "      <td>325.824601</td>\n",
              "      <td>2084.424341</td>\n",
              "      <td>34994.884066</td>\n",
              "      <td>34994.884066</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>-33805.349860</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1189.534206</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>2020-01-25 12:00:00</td>\n",
              "      <td>35906.677960</td>\n",
              "      <td>1214.916781</td>\n",
              "      <td>2890.342869</td>\n",
              "      <td>35906.677960</td>\n",
              "      <td>35906.677960</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>-33805.349858</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>2101.328103</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>2020-01-25 22:00:00</td>\n",
              "      <td>36286.592087</td>\n",
              "      <td>765.197792</td>\n",
              "      <td>2605.976819</td>\n",
              "      <td>36286.592087</td>\n",
              "      <td>36286.592087</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>-34620.229560</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1666.362527</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>2020-01-26 23:00:00</td>\n",
              "      <td>37236.377402</td>\n",
              "      <td>2542.996762</td>\n",
              "      <td>4297.115889</td>\n",
              "      <td>37236.377402</td>\n",
              "      <td>37236.377402</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>-33822.077491</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>3414.299911</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>2020-01-27 20:30:00</td>\n",
              "      <td>38053.192773</td>\n",
              "      <td>3432.436501</td>\n",
              "      <td>5139.207907</td>\n",
              "      <td>38053.192773</td>\n",
              "      <td>38053.192773</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>-33756.746570</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>4296.446204</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>2020-01-28 23:00:00</td>\n",
              "      <td>39059.965208</td>\n",
              "      <td>4340.255073</td>\n",
              "      <td>6122.574416</td>\n",
              "      <td>39059.965208</td>\n",
              "      <td>39059.965208</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>-33822.077490</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>5237.887718</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>2020-01-29 21:00:00</td>\n",
              "      <td>39895.776286</td>\n",
              "      <td>7456.747161</td>\n",
              "      <td>9211.203581</td>\n",
              "      <td>39895.776286</td>\n",
              "      <td>39895.776286</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>-31623.910411</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>8271.865875</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>2020-01-30 21:30:00</td>\n",
              "      <td>40826.565896</td>\n",
              "      <td>7832.100905</td>\n",
              "      <td>9634.288030</td>\n",
              "      <td>40826.565896</td>\n",
              "      <td>40826.565896</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>-32054.880190</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>8771.685706</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>2020-01-31 19:00:00</td>\n",
              "      <td>41643.381268</td>\n",
              "      <td>10312.648317</td>\n",
              "      <td>12054.604668</td>\n",
              "      <td>41643.381268</td>\n",
              "      <td>41643.381268</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>11225.514515</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>2020-02-01 19:00:00</td>\n",
              "      <td>42555.175172</td>\n",
              "      <td>11191.970492</td>\n",
              "      <td>13078.048952</td>\n",
              "      <td>42555.175166</td>\n",
              "      <td>42555.175179</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>12137.308419</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>2020-02-02 19:00:00</td>\n",
              "      <td>43466.969076</td>\n",
              "      <td>12131.504919</td>\n",
              "      <td>14005.384046</td>\n",
              "      <td>43466.969052</td>\n",
              "      <td>43466.969102</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>-30417.866754</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>13049.102321</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>2020-02-03 19:00:00</td>\n",
              "      <td>44378.762979</td>\n",
              "      <td>13110.807735</td>\n",
              "      <td>14895.913956</td>\n",
              "      <td>44378.762933</td>\n",
              "      <td>44378.763032</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>13960.896227</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>2020-02-04 19:00:00</td>\n",
              "      <td>45290.556883</td>\n",
              "      <td>13931.619107</td>\n",
              "      <td>15781.320041</td>\n",
              "      <td>45290.556806</td>\n",
              "      <td>45290.556968</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>14872.690130</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>2020-02-05 19:00:00</td>\n",
              "      <td>46202.350786</td>\n",
              "      <td>14886.752985</td>\n",
              "      <td>16654.138055</td>\n",
              "      <td>46202.350667</td>\n",
              "      <td>46202.350909</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>-30417.866752</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>15784.484034</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>2020-02-06 19:00:00</td>\n",
              "      <td>47114.144690</td>\n",
              "      <td>15799.796867</td>\n",
              "      <td>17601.090876</td>\n",
              "      <td>47114.144530</td>\n",
              "      <td>47114.144852</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>-30417.866753</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>16696.277937</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>2020-02-07 19:00:00</td>\n",
              "      <td>48025.938594</td>\n",
              "      <td>16641.665365</td>\n",
              "      <td>18568.901621</td>\n",
              "      <td>48025.938390</td>\n",
              "      <td>48025.938797</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>-30417.866751</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>17608.071842</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    ds         trend  ...  multiplicative_terms_upper          yhat\n",
              "0  2020-01-22 12:00:00  33171.296277  ...                         0.0   -634.053583\n",
              "1  2020-01-23 12:00:00  34083.090171  ...                         0.0    277.740314\n",
              "2  2020-01-24 12:00:00  34994.884066  ...                         0.0   1189.534206\n",
              "3  2020-01-25 12:00:00  35906.677960  ...                         0.0   2101.328103\n",
              "4  2020-01-25 22:00:00  36286.592087  ...                         0.0   1666.362527\n",
              "5  2020-01-26 23:00:00  37236.377402  ...                         0.0   3414.299911\n",
              "6  2020-01-27 20:30:00  38053.192773  ...                         0.0   4296.446204\n",
              "7  2020-01-28 23:00:00  39059.965208  ...                         0.0   5237.887718\n",
              "8  2020-01-29 21:00:00  39895.776286  ...                         0.0   8271.865875\n",
              "9  2020-01-30 21:30:00  40826.565896  ...                         0.0   8771.685706\n",
              "10 2020-01-31 19:00:00  41643.381268  ...                         0.0  11225.514515\n",
              "11 2020-02-01 19:00:00  42555.175172  ...                         0.0  12137.308419\n",
              "12 2020-02-02 19:00:00  43466.969076  ...                         0.0  13049.102321\n",
              "13 2020-02-03 19:00:00  44378.762979  ...                         0.0  13960.896227\n",
              "14 2020-02-04 19:00:00  45290.556883  ...                         0.0  14872.690130\n",
              "15 2020-02-05 19:00:00  46202.350786  ...                         0.0  15784.484034\n",
              "16 2020-02-06 19:00:00  47114.144690  ...                         0.0  16696.277937\n",
              "17 2020-02-07 19:00:00  48025.938594  ...                         0.0  17608.071842\n",
              "\n",
              "[18 rows x 16 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gluk7CI9xx5P",
        "colab_type": "code",
        "outputId": "93562d00-c883-4266-cfce-d23ab383ba07",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 342
        }
      },
      "source": [
        "res.iloc[10]"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "ds                            2020-01-31 19:00:00\n",
              "trend                                     41643.4\n",
              "yhat_lower                                10376.5\n",
              "yhat_upper                                12135.7\n",
              "trend_lower                               41643.4\n",
              "trend_upper                               41643.4\n",
              "additive_terms                           -30417.9\n",
              "additive_terms_lower                     -30417.9\n",
              "additive_terms_upper                     -30417.9\n",
              "daily                                    -30417.9\n",
              "daily_lower                              -30417.9\n",
              "daily_upper                              -30417.9\n",
              "multiplicative_terms                            0\n",
              "multiplicative_terms_lower                      0\n",
              "multiplicative_terms_upper                      0\n",
              "yhat                                      11225.5\n",
              "Name: 10, dtype: object"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d_ET-Q0_2Duo",
        "colab_type": "code",
        "outputId": "db3b5a5b-9e40-48b8-8d17-9aa23635584f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 342
        }
      },
      "source": [
        "res.iloc[11]"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "ds                            2020-02-01 19:00:00\n",
              "trend                                     42555.2\n",
              "yhat_lower                                11215.9\n",
              "yhat_upper                                  13079\n",
              "trend_lower                               42555.2\n",
              "trend_upper                               42555.2\n",
              "additive_terms                           -30417.9\n",
              "additive_terms_lower                     -30417.9\n",
              "additive_terms_upper                     -30417.9\n",
              "daily                                    -30417.9\n",
              "daily_lower                              -30417.9\n",
              "daily_upper                              -30417.9\n",
              "multiplicative_terms                            0\n",
              "multiplicative_terms_lower                      0\n",
              "multiplicative_terms_upper                      0\n",
              "yhat                                      12137.3\n",
              "Name: 11, dtype: object"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nmxL-PDMywqU",
        "colab_type": "code",
        "outputId": "5c497c41-944c-4c08-b9a7-02d05627e1d7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 922
        }
      },
      "source": [
        "m = Prophet()\n",
        "m.fit(chinese)\n",
        "res=m.predict(future)\n",
        "m.plot(res)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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h352Xdms9KYP//HMLj+5opjNpDOaHl59fTSDP0QTbcehNGRi2Q21xgAUNhZRq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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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IRERExoy+tMmB7iSHe9J43VAa9OXlAbadLTEe3hbluT39/YdHS374aFwi6PMwp6aYmuIg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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gZJ9wOlu2SXO",
        "colab_type": "code",
        "outputId": "aa8deaa1-0c54-452a-9ff0-3292e91aabd6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 442
        }
      },
      "source": [
        "from fbprophet.plot import add_changepoints_to_plot\n",
        "fig = m.plot(forecast)\n",
        "a = add_changepoints_to_plot(fig.gca(), m, forecast)\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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8RRgGAABA3iIMAwAAIG8RhgEAAJC3CMMAAADIW4RhAAAA5C3CMAAAAPIWYRgA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\ngg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2XHltNJ92fCU",
        "colab_type": "code",
        "outputId": "7247552a-180e-4c1c-cf62-3bd512d8605c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 498
        }
      },
      "source": [
        "m = Prophet(changepoint_prior_scale=0.5)\n",
        "forecast = m.fit(chinese).predict(future)\n",
        "fig = m.plot(forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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iInIWDR0hqrwB0twOclPdiS4nrjpDMZ492MAvq3w0dIYZnZPC3y2ayJ9NKyZN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\ny1SQeQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HqMLTEP727AZ",
        "colab_type": "code",
        "outputId": "d33c3bb9-e566-4f94-ac9e-d5780a45450a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 498
        }
      },
      "source": [
        "m = Prophet(changepoint_prior_scale=0.001)\n",
        "forecast = m.fit(chinese).predict(future)\n",
        "fig = m.plot(forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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MgrGIiMxJOduhI57hwGAa1xgqwgECBQ58r/eOsq2tk5/s6wfgvatquXljE2vq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\ngg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PfYIKBa43JSF",
        "colab_type": "text"
      },
      "source": [
        "Uncertainty in the trend\n",
        "\n",
        "The biggest source of uncertainty in the forecast is the potential for future trend changes. The time series we have seen already in this documentation show clear trend changes in the history. \n",
        "\n",
        "It’s impossible to know for sure, so we do the most reasonable thing we can, and we assume that the future will see similar trend changes as the history. In particular, we assume that the average frequency and magnitude of trend changes in the future will be the same as that which we observe in the history. We project these trend changes forward and by computing their distribution we obtain uncertainty intervals.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VQnykRex3AfS",
        "colab_type": "code",
        "outputId": "9aa635f1-d87f-4c2e-a480-2c5371ff5df3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 74
        }
      },
      "source": [
        "forecast = Prophet(interval_width=0.95).fit(chinese).predict(future)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ickk12jH3kjE",
        "colab_type": "text"
      },
      "source": [
        "Uncertainty in seasonality with full Bayesian sampling"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "66KSX5q13iq3",
        "colab_type": "code",
        "outputId": "e88e5150-1cdf-4e77-d94b-0a2e9840d817",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 170
        }
      },
      "source": [
        "m = Prophet(mcmc_samples=300)\n",
        "forecast = m.fit(chinese).predict(future)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n",
            "WARNING:pystan:Rhat above 1.1 or below 0.9 indicates that the chains very likely have not mixed\n",
            "WARNING:pystan:14 of 600 iterations ended with a divergence (2.33 %).\n",
            "WARNING:pystan:Try running with adapt_delta larger than 0.8 to remove the divergences.\n",
            "WARNING:pystan:405 of 600 iterations saturated the maximum tree depth of 10 (67.5 %)\n",
            "WARNING:pystan:Run again with max_treedepth larger than 10 to avoid saturation\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "l5vK48pY3zEf",
        "colab_type": "code",
        "outputId": "82a8c86d-28fd-4030-f4b2-40b85d0a0b04",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        }
      },
      "source": [
        "fig = m.plot_components(forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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lpWH58uUoKirCsmXLhrSOq/HXr+tR9Pl37pE0/QQA77SkT0hTe29vd7rQqX4F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cCsAh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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xvGZ7aSX43Cl",
        "colab_type": "code",
        "outputId": "9c543aef-c1aa-4b46-8273-47f4ca906dbb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 514
        }
      },
      "source": [
        "m.predictive_samples(future)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'trend': array([[17060.89163904, 17060.89163904, 20876.91088088, ...,\n",
              "          8101.54288106,  3215.17178824,  3215.17178824],\n",
              "        [19816.22933655, 19816.22933655, 22187.70869402, ...,\n",
              "          9443.9316572 ,  5103.08622382,  5103.08622382],\n",
              "        [22589.44855406, 22589.44855406, 23444.99489056, ...,\n",
              "         10598.85101861,  7014.41801493,  7014.41801493],\n",
              "        ...,\n",
              "        [56926.03923035, 57011.24262888, 39040.47476095, ...,\n",
              "         24783.69226384, 30476.89459962, 30286.92303038],\n",
              "        [59714.80018813, 60044.02947693, 40357.8126119 , ...,\n",
              "         25858.46898556, 32331.10946447, 32135.53261468],\n",
              "        [62503.56114591, 63161.25477814, 41670.81038855, ...,\n",
              "         26835.88523403, 34176.11541774, 33988.0501719 ]]),\n",
              " 'yhat': array([[-1425.61486554,  3234.99089381,  -815.86525768, ...,\n",
              "          -206.90438584, -2108.91499321, -8493.93078295],\n",
              "        [-2572.83017989, -3520.41453069,   649.09621016, ...,\n",
              "          3467.68882514, -1092.5828323 , -1256.59300866],\n",
              "        [-2372.44996569,  6804.41872931,   845.81497817, ...,\n",
              "          6197.30924404, -1530.15552846,  3801.36748743],\n",
              "        ...,\n",
              "        [17663.41526045, 16224.29358181, 17151.86649911, ...,\n",
              "         15711.76013167, 25825.6983821 , 18798.80262844],\n",
              "        [24235.61684089, 22002.85349802, 18834.59850827, ...,\n",
              "         19025.51234467, 31587.86312168, 27040.33199564],\n",
              "        [27303.4278902 , 21388.10806196, 21600.99304977, ...,\n",
              "         15483.36824478, 21736.79307683, 29046.25276689]])}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xnjBRhI16Vrz",
        "colab_type": "text"
      },
      "source": [
        "Fourier Order for Seasonalities\n",
        "\n",
        "Seasonalities are estimated using a partial Fourier sum;see also:Forecasting at scale;partial Fourier sum can approximate an aribtrary periodic signal. The number of terms in the partial sum (the order) is a parameter that determines how quickly the seasonality can change."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sbpyrtpU4-5V",
        "colab_type": "code",
        "outputId": "f9625045-d5f0-4d3e-e9a3-f4c527069c4f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 426
        }
      },
      "source": [
        "from fbprophet.plot import plot_yearly\n",
        "m = Prophet(yearly_seasonality=20).fit(chinese)\n",
        "a = plot_yearly(m)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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sM6eyf8Pt/Ub8/f5RvHniHBa25G4ZUi0mJ6kNRamMZdq8GNJXnrdXH9MWgwbj\nvqBiz9l6QQnn6rnJINoNKkR9k4j5ZdHRb1bjkDuMiyNuaAoUIvOFEo5pqXhDMWg5qeDvnU4FBMLh\nsr+ntTymNRN/+/fvx89+9jO89NJLiMfjCAaD+MIXvgC/349UKgWNRoORkRH09PQAAHp6ejA8PIze\n3l6kUikEAgE4nc7sdsb038m13el05t3H1Wzbtg3btm0DAKxduxbd3d3VOhxXEE6OocVqLmh/13g4\nABcR1VrmbX21hPVAdNpts/69SVEC4EZaa1TscTn62jhaTTw2XOdCt8MIALj/JgP+fv8oDk4Bv3Xt\n/P9dSj2WtWZyNAAA6G53zjiG0//daRtAJK2h41wB6v0YTkTexfJO5xX3n9V9Qfz8Ax+0Fie6bPoa\nri439X5MS0XAB2g38gX/fVbD+5DUuoocj1od05qFfb/61a9iZGQEQ0ND2L17N+6880784Ac/wB13\n3IEXXngBALBr1y7ce++9AIBNmzZh165dAIAXXngBd955JziOw6ZNm7B7924kEgkMDg5iYGAAt9xy\nC26++WYMDAxgcHAQgiBg9+7d2LRpEziOy7uPekCSJIQKCGsyWIVgswyEZ+HtuY6PVs1Br1Flm3cq\nkbcu+HBdtxVd1ss3gTXdVqg44PQlqghUElOZmb12/exNZDsyBVySJM3HsogakUiJ8ESTM3o+Ls20\ne6GK3/klnEjBUOA9F2BhX8r5qyhf+9rX8Mwzz8DlcsHj8eCRRx4BADzyyCPweDxwuVx45plnsq1b\nVq1ahS1btmDlypX46Ec/ih07dkCtVkOj0eDb3/42Nm7ciBUrVmDLli1YtWrVrPuoBxKihKQoZRtJ\nzkVbpkLQ2yQVgpfF39zHx6rXZMf2KI1YUsSgL4olmR5gDINWjcVOE85ORWq4OqJYPJk8vpY5pvZ0\nWHTwxQTFJ5MTszOWmfN89QhPl5O1e6Fef/NJREhl+/cVgkmrRjylzHsLo2Zh3+ncfvvtuP322wEA\nixcvxqFDh2b8jF6vx49//OOcv//UU0/hqaeemrH9nnvuwT333DNje7591ANsHJlZV5zz1ywVgsFE\nYc4fAFj12uzAbqVx5lIYkgQsajHOeO36bisOXvBBTEsFJygTtWUq02+y0zJ7KK/NLE/siSVF6Iu4\nGRHKYjQgT/Fg7X0YCzJ5vEwcEvODXO1buBdm0mkwGRYUfQ2uO+ev2QllnKpCnT9WIehvkgrBQKah\ntakAcWzTaxRb7ft+JuyTS/yt6bbCHYhj2Bed72URJcLEX4c5f6sXQH6Yi6fS1OuvwXEHmfi70vlr\nN+vA4fL5QlQfMS0hlkzDUFirw7sAACAASURBVMTDljHj/KXSynXoSfzVGcz5KzTnj+M4OE1800z5\nYH375sqdYj8TVmjY99RECCoOWN1lnfHami4rJABvj/jnf2FESXiiAsy8GpY5zlvmBLmD1O6jkWHO\n30LnlQ93WrUKTpOWxN88Es3cI4oK+/JqxFNppETl5uaS+KszmPNXaNgXkG8YzdIbLJwRxxZ9ATl/\nBg3CQgpJUXlPZ6cmQui1G9Bp1c14bU1GEL7jprwgpTAVFmAzaKGfY2qP0yiLv4kmKeBqVtyBOHg1\nh27LzO93p0WPqSiJv/kikkkNKibNwsirEU+KSKZJ/BEVIpyQhYq1AGeL0WHRw9ckzh/7ohZyfGx6\nLSKCqMjRd+9PhLG4xQhbjr9zgcMAE6/GWQ+FfZWCJyrArtdCN5f4y1R/XgrTzb+RGQ3G0WbSwayb\n+RDbbdXDExGo4nueCJfg/Bm1asSTaaQUaCwwSPzVGcHMiVhIWJPBnD8lipxiYdW7lgKcUateg3Ai\npbins6SYxsBUBItajDmTiVUqDivazRj0kvhTClMRATaDZm7xl5kAEmiSh7lmxR2Io9XMw5gjvafb\npsdUREC8Ca7n9QBrB2YspuCD1yCWIuePqCAsrDlXS4jptJt18MYExY+bKQQm/qwFhH1teg2igoi4\nwvL+zk5FkEpLs07wWNpmhtsfV2RIuxmZigiwG7TguNkrA5nz54+T+Gtk3IE42k08dJqZ4q/LqoMn\nmkS4iUZ21hJ2Tyk27JsUJcQVfM8l8VdnMOfPYSjO+Ysl0/A2Qd5fREhBp1FBpy7A+dNpIQHwKexG\nyhy9Plt+8bfEacR4KA4PJYYrAk9EgK2ABxb2vQ/E6MbfqEiSJId9zTPz/QCgy6KHmJYwkikKIaoL\nc/4KMRQYrCAzrNBuEgCJv7ojnBChU6ty5oLkg11EmqFCkPVj0qrn7q3EvsxehSVPD3nlz3Gxc2ab\nF8YSpwmidLklDFG/JFIiwoIIewEPdBq1Cja9BgGFPbAQhRNKpBARxGyD/qvpyhR5XfQ3/vW8HmC9\nYC1F3HNZuD6UUO73lMRfnRESRJh0avDqwj8a1h5irAmeFCOCCINGDY1q7uNjy4o/ZX1Bh7xR8GoO\nC3P0+GMsaZVfOz0Zmq9lESXCevYVmsfbYuQRoJBfw8JGcbLK7qth4xyHSfzNC9k88hKcvxA5f0Sl\nCCVEmPhixZ/8pNgMXeEjQgoGrboo509pLsqQL4pOqx62WZyiJZkxUBe8dIOodzwZ59lmKOzm4jRp\nqeCjgWEPo/nSAJjzNxlu/Ot5PcBCt1Zd4alWrDJYybPjSfzVGSFBhJnXFCRuGNn5vgpzuEohIojQ\na1XQFiCOWZsUf1RZX9AhbxTdFh3MszT67rLqoNeoKC9IAbCGvYU6f20m2fmjVh+NiXeOh4HOTO8/\navQ8PzABZy/w4Qy4HPYl8UdUjLCQLtn5a4b5vnLOn7qgeYrM+VPafN9BbwxdVj00s5wDHMdhUYsR\nI34Sf/UOu4mzSt65cJp4BOJJCFTJ3ZCwh/SrR7sxjLwGFp2GxN88ERFEcMCsD9tXw8K+Sm7HQ+Kv\nzgglRBh5NVRFDIs28WroNaqmmPIRTqQKnsHIEngjCmr1EkmkMBURsqGf2XC1mjASiCGt4F5TzQCr\nyO7IMc0hF85Mzl88qdwbC5Ef5vx1mPV5f6bToiPxN0+EM6lEfI62O/kwauV7i5Lbq5H4qzPCgljw\nXF8Gx3FoNfFNMeVDLvgo7LRlzl9UQeLvgk/O4eu25r8xMFytJrgDcUVXnDUDU8WKPxOPiCAiREUf\nDUnW+bPkd4K7rLqmSOOpB2RDQQVNkYYLQM4fUUEiyXRRY2YY7WZdUzh/ESFVcDPOy86fcm6iQz65\nx19XAeJvsdOIeCqNczTmra7xRpMwaFWwFthKglWBjocppN+IeKNJWHSaWR/y28w6BOJJauI+D7BU\nomLy7FnOHzl/RMWICGLOkT9z0WHRwdsszl+BY3g0ahX0GhWiCvqCMudvth5/jH673AT63FSkqmsi\nysMbFWArYK4vg414uxSisF8jIp8PmlkfYltNPPwxCv3PB+FECkZtYe3DGOT8ERUlJaaREKWSnL8O\niw6+qNDw832jmae0QrHoNIrK+RvyRqFVy8Ucc9HvkMXfILV7qWu80SSs+rnn+jJYYcgEtfpoSLxR\nQT4fZinoas0U/UQVFLVQKmFBhIEv0vnL3IOULM5J/NUR4YxIMZTg/LVlcv4a+WKRFNNIpqWixJ9Z\nYeJv2B9Hu0lX0KghJv5Y01iiPmFOT645rrlgYV8a3deYeCJJ2PTaWYv6Wk080hI9AMwH4UQKBo1q\nzrnb02H3IAr7EhWB9QwylZjzJ4gSJhv4hhHNDuAu/LS16jSKKviQZ37yMPGFzYE1aFWYIPFX13ii\nSVj12oLaEwFyk2cANOWjQfFknL/ZaM24v/RgV33CiVTRhotKxcGgVVHYl6gMoYz4K8bZYrDKsUbu\n+8YcPEMRJflWg7KcP3dAFn98ASFCjuPQZzdgPNS4n3kj4IslCy72AOTxbgDgb4Ic3maEpQHMBhN/\n9GBXfcKCWFKqlUGrRpycP6ISsDEzxbZ6AeSwLwCMBRtXCLCq3WLEsVWnQURIQVRALzxJkjAaiKPN\nVFhLEABY4DBiPJSgaRB1iiRJ8BXg9ExHbvLONYTzl05LCMaTiCh4EkIlSaclBOLJvKPdGEz8Ua+/\n6hMpMo+cYeLV5PwRlaEs54/N923gJ8Ws81dE2Nei0yCaFBXRMiEYTyGaFLPj+gphgcOAiVBC0bkn\njUxUECGIUlHij+M4OIy84mZS5+KunQdhe2ov2v7XK/hgMlzr5dScYCKFtDT3HFknub/zRqSIwQHT\nMZLzR1QKlvNnKeJGwWDizxdt3CdFJv6KaYVj1cs5f0mx/p0xd2ZOb1uBY8AAoM9ugCeapIawdQr7\nXGwFzvVlOI1aBGLKdsuOjQSwb2AKdy9vQzoN/OmLJ2u9pJrDpnsUGvb1K/wcqHfEtIRYKg1jEYYC\nw8irESPnj6gEzPmzFnmjAJB1ixp5ygcL+1qKyJ9irV6S6fr/ko5mQvbFOH+s199Z6vVXl7B528U4\nf8DlVh9K5rsHL0CnUeEv1rvw+Q8vxN7Tl7B/0FPrZdUU9jDQYpz9Gm/WyaF/cv6qSzQbTSre+TPr\nNIgnRcWm3JD4qyPCGXEzVz5ILvRaNcy8uqGnfDDnr5gB3BadBvFUWhEtcJj468sIukJg7V7OeUj8\n1SPsZl9MwQdwWfwpdW5zKJ7Cvx0ZwV3XtOHmPgee+shS6LUqfP2N87VeWk1hzl/rHHm9HMdlZjw3\n7vW8HgiXkEfOMGrViCXTisgnzwWJvzoiFJfFTbEhIkabubGnfDDxV4wzyhwXJYRPWNh3oWPuBs+M\nPrs8Bq6Rq7yVDLvZ2+dweq7GaeIRiKcgKCBXNRe/HvQgIoi4Z0U79Fo1HEYe96zowK/Oe5BQcJ5U\nuXgimbm+Bbj7rWZeEdctJcNSrUqZqiUXfIhIkfgjyoU9hdgNxTt/gBwubGznj4XFiwv7AoBfAU/Q\no4E4zLwarUWEfZlLSP3A6hP2fWwvIo8TQMb1SSk2ofyYOwAAWNtry277vTVd8EST+NmpiVotq+aw\nh4EOy9wV/W0mHn4Fu79K4HL7sNJy/uKpNIk/onxCiRT0Gq7gSQBX02nRwRdr3IsF+6IWm/MHAP5o\n/T9BjwbjaDfrimr1o9eq4TBoqSVEncLCvu1mfVG/5zTyENOSYj/XoyMB9Nn1WDhtTOE9KzqgVXN4\n8b3xGq6strDITCHir9Wkgz+WRDylzAcAJcCcv1Kmapl4OeePxB9RNqHMmJliZgxOp92sgzcqNOzF\ngom/YnIis2FfBTh/I4E4Ws180fkn3TY9LtEYqLrEG01Cq+aKdvPZlA+lOrrH3EEsbzPDYbzseFr0\nGnxkaSveODcFUaHh7HLxRgWYeDXMBTzAOk3ajPhrzmM1H7CRqoVMVLoaozbj/Cn0XK6Z+BseHsYd\nd9yBlStXYtWqVfjmN78JAPB6vdiwYQOWLl2KDRs2wOfzAZCbpT7++ONwuVxYs2YNjh49mn2vXbt2\nYenSpVi6dCl27dqV3X7kyBGsXr0aLpcLjz/+eLYqJ98+ak04IcKoVUGrKu1jaTPz8MeSiCQaVPwl\nRGjVHAxFfFGZ8xdUgPiTGzzzRc2YBIAeqx5TEUGxVWeNjDcmwKrTQF+koGd93ioh6t8c9OIT338b\nPz85Pi/niC8qYNAbxbJ284yRdh9f1YnRYAIHL9bHNXe+8UblaS869dzX+FYTj1Ai1bDX83rgcgeJ\nEgo+eDViCukhm4uaiT+NRoOvf/3rOHXqFA4ePIgdO3bg1KlT2L59O9avX4+BgQGsX78e27dvBwC8\n/PLLGBgYwMDAAHbu3InHHnsMgCzknn76abz11ls4dOgQnn766ayYe+yxx/C9730v+3t79+4FgLz7\nqDVy2Ld056/DrIMoXa4abTQiQgoGjRqaAmekApd7Jobr/AKaTksYDyWy/RqLodeux6WwQI2e6xBv\nNAmbXgtdkTlFzkyO4GS4/LDv1395Di+eGMemf34bO34zVPb7zcXx0SAAYHm7ecZrd13TBgDYc6I5\n8/6mIvK0F1UB17BWE4+0VJkHACI37L5QbDU+IBd8pCUgmiTxVxRdXV248cYbAQAWiwUrVqyA2+3G\nnj17sHXrVgDA1q1b8eKLLwIA9uzZg4ceeggcx+HWW2+F3+/H2NgYXnnlFWzYsAEtLS1wOBzYsGED\n9u7di7GxMQSDQdx6663gOA4PPfTQFe+Vax+1JpxIyc5fAU+FueiyynlFF/2xSi6rbpDH8BQnjlkn\n/Widz/edjAhIpaVsc9di6Lbq4Y0KCDRwpbdS8WZGuxUt/jLVweXm/EWFFF4+fQmfuLYTHWYdfnay\n+vl2R0fkYo813dYZry1pNWGhw9C0zp8nIhTczYFdC+o59P9vR0ZweNhf62WUDMv5sxqK77DB5gGH\nFTq6sC5y/oaGhnDs2DGsW7cOExMT6OrqAgB0dnZiYkJ+QnS73ejr68v+Tm9vL9xu96zbe3t7Z2wH\nkHcftUbO+eNmhEoKpcsqu0YjDSz+9Fp1UWFxZudHkvX9BR0NFN/gmdFj0yMtARd8jfm5KxlfNAmL\nXlP0Ax1z/srNVX3lzCRiyTQ2XNOKO1xOHB8NIlnlnOAT4yG0mngsbTXlfP2jy9txZDiAYBM+rHij\nyYK7FTDxNxGqz0jOe2NBfPrfj+G2b/0G/3ZkpNbLKYlwCXnkDFaYF1So+Cutp0gFCYfDuP/++/EP\n//APsFqvfFLkOK7o/KdimW0fO3fuxM6dOwEA4+PjGB0drepafJE4uvRSyftRxeSLxNDYJEZHiw8f\n1jueYBg8l8b4+NicPzs5OQkASGSSpT2+QNU/v3J4b0h2S0xipOh16lNR+T0G3ejnq3ejYMeUKJxL\noRja9Ya8n2m+Y8oqCCc8/rLO2x8cGoSFV+E6mwifU43dxwW8evwcbuieGZKtFGfGfOg0qhH3T2E0\nPFP03tymwXeSIn544H18fHlrVdZQr+eqJxLHMoemoM9Uisrf65GJKYyOltb7tZJcfUz/Zu8Q9GoO\nC+06/NH/OY51znRJhRO1ZNzjBwcg5pvCaCpU1O8mIvLPu8fGMaovzZ2t5Xla008qmUzi/vvvx6c+\n9Sncd999AICOjg6MjY2hq6sLY2NjaG9vBwD09PRgeHg4+7sjIyPo6elBT08P3njjjSu233777ejp\n6cHIyMiMn59tH1ezbds2bNu2DQCwdu1adHd3V/Tvv5qYeAIWo77k/dicKQAnEVUZqr7WWpDkBmE2\noOC/jf0crz6OtLa+j0n8guyCrFrUg+7u4m6Iq0UjgHMIovp/Yz0fw3okmDiOVptl1uOW7zWr/l0k\nVLqyjvmBkRO4bZETN69YDIszjKf2DeOIV8Lvrq3e5zgaOYWVHRYs7O/N+frmljZs+/k5vHUpjT++\ns3rrqLdzVZIkBBNH0Wa3FrS2lCEK4H0ktaa6+VvYOsaCcfz09FF84tpO3HttJz71g2M4EdTiE2u6\narzC4uB4H4y8Gj093WgrMt+6x8MBGITaZC/r86nVZ1uzsK8kSXjkkUewYsUK/Nmf/Vl2+6ZNm7IV\nu7t27cK9996b3f78889DkiQcPHgQNpsNXV1d2LhxI1599VX4fD74fD68+uqr2LhxI7q6umC1WnHw\n4EFIkoTnn3/+ivfKtY9aw6p9S8Wk08DMqxXbG2wuIoIIQwk9EM06Td3n/I0G4+BweVZvMXTb5FzP\nyQb93JWKkEojLIiwldi0vcWgRSBeekjJH0tiNJjA0jYTtGoVVnVYYNVrcMwdLPk95yIppjHsj6HH\nlv9GatVrcXO/A281Wd5fOCH3hCs07MsqvutxxNt/vDuGpChhy3Xd+O3FTgDAm0PeGq+qeMKCXGRZ\nTBEhg7mckTq/t+SjZs7f/v378a//+q9YvXo1rr/+egDA3/7t3+JLX/oStmzZgueeew4LFizAj370\nIwDAPffcg5deegkulwtGoxHf//73AQAtLS348pe/jJtvvhkA8JWvfAUtLS0AgGeffRaf+cxnEIvF\ncPfdd+Puu+8GgLz7qCWSJCGSORHLodOqa2jxZ7MWf8qaeU02t6NecQfiaDFqYSsh8bjdrIOa43Cp\nApWhROVg0xxsJVQSApkRb2Xkxb0/IYelFmcaLatUHD60wIET40Gk01JBFafFMuKPIy1dLj7Lxz0r\n2vG/9p7B2ckwXG3VC0HXE9nzoUDxZ+TV0GtUdTni7c0hH1pNPG5d4ECP3YBuqx7vjFXvoaJaRBIi\njLy6pCJLNhKOxF+RfPjDH87bc2rfvn0ztnEchx07duT8+YcffhgPP/zwjO1r167FiRMnZmx3Op05\n91FLYkkRaQllOX+AXPnZuOIvBYO28Lm3DKteGc5fq4kvaroHQ63i0G7hG/ZzL5TxYBw79g9hTbcV\nm1Z1lDwpp1Kw6R7FzKKejtPEY7iMIp73J8IAAFfb5cKL5e1m/PKcB6FEEjZD8cVFczHolfPUeuYQ\nfxuXteEre8/gP06M43/e4ar4OuoRdj7YC3zA4zgOTqPcu7XeOHDBhzVdFrRnJpXcttCBXw96kRLT\n0JTYraIWhIUUDFp1Se3V2LVaqSMYlfMpNTihROkzBqfDxJ/QgF3h5VYvxd/QrXoNonVe7esOyKPd\nShUsvTZDU/cDe3PQi9X/7y/xN78YwJbnj+Cmb/y65o29PRmnp5hZ1NNpM/FlhfxOTYSgU6uwst2S\n3baoxYh4Ko2hKlWGM/HX75g9feGmXjvsBg1+fc5TlXXUI8z5K6adU6uZr7vpROPBOAa9UazpsmYd\ns9sWtWA8lMC7CnP/wgn5nqIpYbACc/6UOoGFxF+dkJ0xWKbz15URf6xzeSMRzfT5KxarXoOIINb1\nBAx3IF5Sjz9Gj02PyQYV/XMhSRI+/9P3oFFx2P0HN+Ib967E6YkQ7vruwZp23y/W6bmaVhOPQDxV\n8md6aiKMBQ4DWqe1D1qUCQEzV7DSDHmjUHPA0rbcbV4YahWH313RgV+d9yLagNeqXLC5vsW0c2rL\nhP7raV77gQtyrubqrsvdOW5d4AAAvHFWWWI+IqRg1KpLaq/GnD+lNtcn8VcnhJj405SXh9Nl1SGe\nSjdc/lc6LSGeSkNfgjNm1WkREUQkxcpcQCVJwobvHMDSr+7D06+cKVtUCqk0piJCST3+GD02PSbD\nAqI1uhBt3zeAe753sCYXwlfPTOKYO4hH1/Vjy/Xd+NPfXoJv37cab1304y/+6/15Xw+DOT2lfq5O\nE4+IICJUYtHH+xMhLHIasyMOAWCRUxZ/5z2Rkt5zLga9UbSbdXAUEFJ+4PpuBBMp7D5Wvy2YKgk7\nH4qZ4tNq4uGPp5CooxFiB4Z80Ko5rFtgz267JiP2hwPK6jUaSqRKNlxYk2dy/oiyWOAw4J8fuA63\n9dvKeh+WaH3BF63EsuoGJmpKCftaMtW+lXKBjrkD+MXAFKKCiL9+9QO8UWboajzTxLWU0W6Mbqse\noUQKnhrk/b3wzij+4qXTePn0JD7978fmff9fe/0sOsw8HrihO9uz8//6rYW4d1UHvvnrQbxdo6pS\n5vwV20KCwao9x0to8htJpDDki2FRi/GKPqbM+RsNVCdFYMgbRbdNf4XgzMddy9pg4tXYMw9TR+oB\ndj60FxP2zTh/9ZRX9tZFH5a1mdFvv5x/bTdoYebVGAsqK/WEhX1LwUjOH1EJHEYef3hLP1Z1zB4u\nmYsuC5vyUZ9d4UuFVVSV8pRm0asRTYoQKiT+/u2IG1o1h3+6fzXUHPCvh8vrbu/OTPcoN+wLAIPe\n6jg6+YgnRTz6o3ewutOCT9/Ug5+8O4afvjd3E+5KcSmUwOtnPfjE6q4rctsA4HtbroNZp8Zndh9H\nqgbOiScqQK3i4Cwx7MtGvE2UkMt5ZlIO6zKxxzDrNGgxaqs2//u8N4puqx58AbnLOo0am1Z14I2z\nHoQT9ZXXVg08EQF6jaqoQhuniUcwnqqbNB5JknBiPISlrabs3HRALk7pdxgwprC58izsWwq8WgU1\nx5HzR9QHzPlT2pdwLtjFr6SCj0zYN1GBAdwpMY1/P+rGhxe2YP3SNvz2Eif++4NJpNOlvze7EXda\nSnf+mPib77nO+we9CMRTePiWPnxn8xpo1dy8ir99A1MAgA8tcMxoXdJm1uE796/BqYkw/vKl0/O2\nJoY3moRNr4G+xJuLMzveq3jxxwovem0zq24XtRjhrsL1ISmmMR5KFHUeP3xLP4KJFP7hV4MVX0+9\nwc6HYuY8t5p4SAAmQvWRxjMeSsAbTWJJ68yuC4tajBgPJuoqP3EuSi0iBGTBa9CqEK/AfaUWkPhr\nMNh830Zr+8Gcv1L6ILIQVKAC7sJvBr2YCCdw94p2mHQafOrGXowE4nj1g9LH9LAQ3IKW4hs8M7qZ\n6K9SOC8fr34wCY2Kw4cXt8DIa7Cu34G3hwPztv///mASVp0Gty1qyfn6Azf04GMr2/EPvz6P4+75\nHUDvjQqw6oq72U+HhX0nS8jfHc44/0tyFF4scZowGohX3A2dCCUgScXlOK5f2oo1XRZ87+DFmriz\n84knKsCq1xbVVqS1jAeAanByXO4ducQ587xa2GLEWCihmL53YiaPvJwiSxOvprAvUR/YDVqYeHXd\nXCwqBbugGEuYHWnRy092vmj5oZNjblnYrOuXq9v+x7WdAID/PHmp5Pd0B+LQqLise1cK7HfnW/S/\nemYSa7qsWNYmh1zvWtaGM5fCODdVnWrS6UiShP/+YBJr+2zom2UyynNbrodRq8Yf/GB+w7+eSBJW\nvbZ08WeSw76lfKbD/hh0ahX68jh/46FExfvHsXyvYtIXOI7Dlzdcg4v+GJ755fmKrqfe8EQEWPWa\noubVZ8VfnbRxOpERf9d2Wma8tsBhQCiRwmhQGUUf2WhSCb1VGQZejXiKxB9RB3Achz67AeONJv4y\n1dBmXWlhXwDwxcsXRu+NhdBi1GZbWThNPBa2GHB6snSxwxo8m8sYim7Va2DQqua1yvtSKIHjo0Hc\nusCezf+509UKCcDPT05Uff9nLoUxEohjXb9j1hyzdosOz963GicnQvjcf7xX9XUxvFEBNoMGfIlN\nb5nz5ytBpI344+iw6GDRzcw3XOQ0IJWWMDBV2fxQlmpSbO7qJ1Z34eY+G7689zTeODtV0TWVyvZ9\nA1j8v/eh669fhbdCD1TeaLLono/sWFZqDeVycjwEu0EDV+tM52+BQw4FfzA5v3nHpRLO9NYtNecP\nAExaNeX8EfXDAocs/uq5r12xMOfPUsJTGhMmgWj5TseJ8RBcThNajJdvqmt77Tg9EYZYYq7LaDCO\ndjOfnRVZChzHoduqx2Rk/kT/a5kbNXNBAeCWfjuMWjXeHKp+he3+zD7W9s1dIf/JG3uwdW0vdh68\niO++OVTllcl4o0nYdJqSx6gZeTV4taqk+b7D/hg6LLknxizM3KQHKnyTHstUJc/mwuZCreLw0qPr\n0GbWYf13DuDOf3oTDzx/BNt+/A52/GZw3sPBSTGNv/nFABIpEeOhBP7l8HBF3lfO+Suu+IeJP38Z\nM54ryYnxIJY4TWgxzhT4CzNpK+cq/FBRLcJl5JEzTDoN5fwR9cPCTFin3keaFQMTf+YSRmVZMm5h\nKTfR6aTTEk6Oh7DEabxiEsfaPjvcwXjJvdNGAjG0mviCKiRng/X6my+Ou4PQqK7s96VVq3Bznx3v\nX6p+2Pe4OwCjVo0be+cWfxzH4XtbrsMtfXY8/uKJeZks4c3keJUKx3GwGzQlTfm46I+h3azLKTyz\nRWEltJCZjbFgAhxyF5nMRatZh0Nf+DC2ru3DRV8Mb1304SfvjuHzPz2BO/7pQFkzjovl8LAfEUHE\n529bBJteg9cHyncjJUmCP5aEtcg5z6zopx5GvEmSfP1b7DTmvFYx529UIe1eIonS24cxZOdPmfdZ\nEn8NSL/dAF8sick6CRVUApafUUj/sKthv8OmqJTKeW8U0aSIJVeFPG7skcXHr897S3rfsUCirB5/\njF6bAZMRAYl5uhi9Nx7EwhYDOi1X3uyv7bJg0BtFuMpjqd4ZC8LVakKbqbBjp1Wr8NIfyQ7TJ/7l\nbVzwVq8XppBKIyyIJY92Y7QYeQRixZ23KTGNsaAc9s0Fq8b1RCqd8xeH3aCFrcTWNt02A/75wevx\nwZfuxKn/eTsu/tVH8PcfW4EDQ1489pN3K7rW2WCO9m2LWvDR5e1484IPQplJ/bGkiISYLvp8MGjV\nMGhVdSH+RkNJhBJizmIPAGg389BpVIrpNMGcP2MZBR9GXo14Ml1y1KeWkPhrQNhczbMKyb0oBOb8\n2fSlzPaVb0aRMi/gJzJzK6/Od2HO0zujxc+1DCdSCCZSZfX4Y3Tb9JgMJ7L5kdXmvbEgXE7TjBva\nyg4LIoJYVh7kXEiSV9J00wAAIABJREFUhHfcQSxrM8FUxAOB08TjlT9ah3gqjbt2HqzasWLTHOxl\nij+nUVu08zceSiAtAR15HiicJh5qjsvOHq4UY8EEWk18WTlUAKBScTDyGph0Gvz5HS588sYe/Me7\n4xiqolifzmsDHlzTasKqTgs+vrID3mgSL58uvaALuNzg2VbC+eA08mVHLSrBGY9cyLHEObPNC8Dy\nzfUYU0i+OTMDjGUUfBgzBR+pMlp91Yo5xd8Xv/hFnDx5cj7WQlSI/kzOzdkqjXCqBdmcvxwJ7HPB\nnL9yw+DvZSrd1nRfWenmNPHos+lxuoRQJ+vxV85oN0aPTQ9BlOCeh7CLP5bEsD8OV6tpRvXiig4z\nAODoSPVavgx5YwgmUnPOkM3Fqi4rfvgHN+LsVASf+sHRKqzu8s2+nLAvwOb7Fif+hjO9HvM5f2oV\nh1YzX/FpMGOZwqVywmi5+MqGa5BMp/GVvdXv1RhPitg/5MXaPjtajFp8dHk7AOC/Pygv9FvO+eA0\n8RVz/mJJMduupVjOTMnn1Zpua96f6bMb5jX1pBzKuacwTLwGsWQaqQqNDp1P5hR/K1aswLZt27Bu\n3Tp85zvfQSAwfz28iNJgzh+bHNEIRIQUVBxyJrDPBcv5K7f/1KnxEHqsevTZZia039hrwweT4aIb\nnI4Gyh/txmC9/ubDIcnnggKy8wdUvqBgOsdH5evQNW3mkn7/46s68cXfWYI9Jyfw70fLm9CSC+aq\nlRv2bTPrEIiniireYj3++mcpvOi06OCpQAHUdEYzzl+pBS75WNpmxsdXduCl9y8hWeWUhmPuABKp\nNG7ssYLjODhNPLqtOgyVOS6TOcHTC8UKpS0j/sot4PNGBdz+7Ju49u/fwI7fFN9U+4wnjjYTP2Nq\nzHQ6zDr4Y0kICqiAZdW+pUSTGEYtc/4aUPw9+uij2L9/P55//nkMDQ1hzZo1+P3f/328/vrr87E+\nogR6bHqouPppDFoJWCd2bQltMwxaNdQcV7b4G/RG0WPXw54jp2lFhwUjgTimiqy2ZQK9y1J6jz8G\n6/V3wVf9PlvMBV3ePlN8tZt52PUanK+iCH1nNAgVB9zQk9+FmIv/5+5luKbNhD/bcxKxCo/PYk5P\nrnOlGGTnL1XUzXQkIH/+uYQ5o8uqgyciVKwjQDot4VI4UZH0hVzce20nPNEk3jhXWl5tobD2N9Pz\nepe1m8v+TrHzoZTjwx4Ayh1Ped+/HMYxdwArO8z4k5+ewItFTuI5MxXDYqdx1nO63aKDNyooovEx\ny/krpYiQwXL+GlL8AYAoijh9+jROnz6N1tZWXHfddXjmmWfw4IMPVnt9RAlo1Sp0WnQN1esvIojQ\na1RFdcdncBwHs06e71sOQ74YOi06aHII0OXtZqTSEt4bKy70y8K+/WVM92Aw529yHhrCvjcWhIlX\nY2XHTPHHcRxWdFiq6kC+MxpEn92A3iLbikxHp1Hj2ftWYyIs4O9eP1fB1V12ehwlOD3TcRp5iGmp\nqOKtYX8MBq0KPbb8bnKXRQ9PBW/SUxEBqbSUbUxdaT6ytA0A8NLp6vaPPDcVBQdZ8DGWt5sxVGYB\nEzsf2kpw+J1GLfyxZFktRc57IvjlOQ/++NYF+M3nb0OHRVfUOZ9OS/jAE8MSp2nWB/A2E4+wINZF\njuJcMDPAXkIRIcOY6fOXVOB0mjnF3xNPPIFly5bhpZdewl/+5V/iyJEjePLJJ/Hzn/8cx44dm481\nEiXQ7zBivMKtHGoJc/40qtJqlMw6TVk5f/GkiIlQAl158qiYA/beWHFFH6PBOIxadVlzfRlstN98\nVHnLLW9M2VYUV3NtlwXnvVHEq+QAnLkUxqIWI+xl5tTdubQVN/Xa8N0DF5Co4FqZ05Ov6KJQmJgq\npoJy2B9Hh1kH8yy5TJ1WOezL2l2UC2sbUy3nr89hgMtpxKGL1R3Rd84TQadFh7Zpf8eyNjPCgohz\nntIfZso5H1pNPIKJVFnFST95V3b57rqmDQ4jjz9a14+DF3zZ9I25GPRGEU9JWJyn2IPB0lfcgfqf\n8hFOZFKJShgcwGBpSOEKRw7mgznvpGvWrME777yD7373u7jllluueO3QoUNVWxhRHotbjHAH4op8\nIslFREhlxF9p+URWnaasL+gIC89ac4dnmVMwWKTb5Q7E0Wouv0ISAPRaNRwG7bwkXH8wGcEChyHv\nuL0V7Wb4Y6mqFB2JaQnnPBH02Q1l55dxHIenNy7DWCiB7xy4UKEVyjl/ahVXUo7XdNiUj2LGe130\nxdBu0c3aN7LTooOYlrLOc7lkR7vlaP5bKTYub8fRkQD8seqd3+c8UfTa9VcUZrDvdinV/AxvNAmt\nWu7bWCzOCox4e+HdMaxoN+NDC+WG7A+v6wcAfKvA3D821s01p/iT1zpa5XzzI8N+bN51uKwoRzhz\nT+HV5VX7AkBIAU7n1eS9Ohw9ehRHjx7FddddhzNnzmT/zf4HADbb3M1VidpwTZsJY8EExhXSc2ku\nwgkRBq2q5Ju9VV+e88d6wuVz6OwGLdpMfNGJ4aMBOYm6nHYD0+m2Vr/RcySRwngogV57/jzFxZle\nYKdLrCycjWF/DIIooX+W/RfDR5e3o8Osw0/fG6/I+wFsmoOm7MpXduO/FCr8Mx3xx+Z0mFhvxuEK\nOTTjGfHXXcZ86rlYv7QV8VQar56p3gi4s1Nh9NoMVwjnZZmiog/KaF3kjQmw6bVXNIcvFOamlprG\nM+yL4dBFP9YvbUVr5rxY2GLE7yxx4uXTlwoqUmMVwqtnqfQFLjt/lW4gPh13IIaP//Mh/OTdMXyj\njHnQ4YQIo1ZdUioRgz20hyrkoM8neR9DvvjFL+b9JY7j8Nprr1VlQURlWNZuhgR5Fm2fY/anNSUQ\nEVLQl3Ejteo1GA/KI++KGazOYAnfrJI6F8s7ik8Mv+iPYXWXtaRCllz02PTZhP9qwQo5ZpvkkB31\nVIW8P1ZFXOwYsXyoVRwevKEbz745hBF/rKw8QoY3KsCq00BX5tQWZ8Y5LDSUnxTTGA8l5kwjYK+P\n+Ctzk57KrK87jzNeCVgz9ePuALZc313x9w/Gk5iKJGc81PQ7DODVqrKKPthc31LOByb+Si3g++V5\neZrNbQtbrth+/5ou/MlPT+Ctiz586KrXruad0SA6TZo5v3PtmfPKW+FK8un8+c9OIRBLoc3E440y\nJvWEEikY+NKKCBlZ5y9R+ybcxZJX/L3++utIp9M4cOAAbrvttvlcE1EB2NPqe+NB3LOyo8arKZ+w\nIJYVUrLqtTg3FUUqLZX0pHfBFwMHzJjuMZ0V7Wb8n+OjiCRSBTUelsNuCXxkafn5fowemx7HRwOI\nJ8WyxPJssNmdvTla3jDYqKexKvQcZKHkpSW2ecnFp27sxTd/PYj/762L+OuNy8p+P08kCateW/Zn\nwJy/QqvIRwNxSLgcfstHJ8sPrZBLPBlJQKvmqpbzB8gizKJT42yVZseem2IPNVee12oVB1ersTzx\nFxFg02tKuvaw0H+pfRmPjPih06hw01UzsFkPwxdPjM8p/o6PBuBq0cMxR/U6y5X0VVH8vT3sx28t\ndGB1lwXf+s0QRgMxdM9yLcpHKJGCqUznL5vzp0Dnb1bJq1Kp8PnPf36+1kJUkGsyzW/no+3HfBBJ\npGAoYwyPRadBJCmW3H/qgi+KNjOPllkufsvbzQjEUzjvLezmNB6KQ0xL6KhAg2dGt00PT0RAqIpT\nPlji+7IcbV4YdoMWNr2mYjll0xmYjECvUc2Zf1QMa/tsWOAw4L8/mKzI+3mjAmwGDXRlOrrsZlvo\niDeWm5qvwTMjO+KtQlM+piIC7HotDBVKX8gFx3FY1WmpWvP6cx72UDPTvVzebsYFf6zkMV5TUQFW\nnbakqAMT1P4S88qOjASwrM00I1/Z1WrCQocBB4Z8s/5+JJHCwFQESxy5Ox1Mx6rXgFdzVXP+IokU\nznujWOI04r7VXUilJew+PlrSe4USKRh5NbQlFhECl8O+5bYRqwVz/tXr16/HT37yk4r1gyLmB5NO\ng26rrnHEX1IsK3/Kkqn2TZZ48b7oj6HTood5FkePVfwedxeW58aa8c51oy6G7v+fvTePcuuu77/f\nV8vVvms0MxrNjJexx0sck8QmCVuAxJikv58DbQi0UFJIG0rpj548z2lpy/m1CS0lpac8D21on5oG\nSNr+CJQ2CaWQBBIoBBqcxUnsmNhje+xZNDPSaN+vdHWfP66+mk3S3SXN5L7O4RyikXWvru7y+X6W\n99ttBcsBl5Pa/e4XEgW4LKaOJXAAGPfZNMn8TS3zwx5ehcMUq6EoCr+0lx8oyKjgppAoMvBYTIoH\nUkxGA9xWE9IiZUaIu8e4QKuHy2KC1WRQzeVjucDAazOr7u6xnoNhD84vF1HUYLqSZBT3tpAv2u63\nYylbQVam3Asp+8qBTHzLcfmo1zmcnMtgT8jZ8t51y94Qnp9LI9khs3xqMQeOA3b6hO9TFEUh6LAg\npZEX8S9ieX5fgg5cv80Pj9WEZ2R6qufKfPCn5BolZV+l7lG9QDD4+4d/+Ae8733vg8Vigdvthsvl\ngtstX1hVp3tMhpyaBgHdpMiwsCrI/LmtJhSYGhiZDgGXkyUMuy0dy3gkEya2MZw8qEkJTg2aQs9p\nDYO/5SIiHivcAqXt7X47otmyZNcTIabieUS8VjjbTBrL5abdAyjX6op9XAG+7KXU2o3gs5mRFZn1\nIeeUkCQHRVEIOdVz+eCDP+WZTiGuHHYjV6nJtijrxHSyCJ/N3LKEGPHaUGHrsvtpU0VGlq8vANhp\nPlCXavMH8PeiPMNib8jV8u837x1EqVrHt19tr5/40jzvpjMZENfPGXLSTV1DtTm9wP/uu4IOGA0U\n9g26ZCc4so2yrxJI8FfS2HlGCwSv1Fwuh3q9DoZhkM1mkcvlkM3KH3nX6R57Qy5cTikTJ+0HOI5D\nkVGe+atz/AUvlXqdw2ymJNhEP+6zw2I04LLIid+55oNauj9tO0jD/axCO6pOXEgUEPFaBSeUtwfs\nWMiWVW2GZuscLiaLGFNB5mU9N+wMgALw9JSyaVKmVkeeYRVbuxECdlp0NnI2XYaDFqcbGXRK9w1u\nRzzPl33V/k3Wc2CYD2K00Pubz5QRctJwtjivRxtDIKQvUArlKotita7ofOD9faXfu55v+Gu3ymYC\nwNt3BmA2UHj6fPvBiZeiWbgtJuwKiOurG3TxmT8tqoWnF7OgjRQODPMJqMmQE7PpEioygq98o+yr\nBFL2VSLA3StELdNSqRROnDiBH//4x83/6fQ/kyEH8gyrWY9MtyjX6uAA2GTIJBBcjSyVnEbkWL6C\nKssJlmeNBgo7g3ZcEpltnU2XYTUZEFYx8xduuDrENJJ7qbF1XE6VEPHYBPuXtvnsKFXrmFExCzmb\nLqHKcqpN+q7Gb6dxMOzG83PKAguS9fCqFPwRizcxzGV4mRcxA0cDDhqZkjTf4HaQsq/WXDHEB3+v\nxeTLrrQjmi1jwGlpucgk55sc1xpSAlWSCSYuH1Ihwx5XR1rLsjktJrxpux//fTnZ9jx4aT6D3QMO\neEUO3IWcFqSKVVQ08Pc9vZjDdr8dA40+6YmgHfECI0tXkEi9KMHRqD6Ut2Lm7x//8R/xtre9DUeP\nHsWf/umf4ujRo7jnnnu6sGs6SiGp/udnMz3eE2WQfgolAx+k5CKnF4Xoa4mZZNzbKEOIaQyfTZcw\n6LLA1cGJQSqDTgsorEhvqM1MuoRaneuo8UfY1jCAPxdTb/FBHr5qBsyredfkAE4t5BTpY5Jmd7XK\nvgMSMnSzKf6csoqQFAk6aKTLyh/SNbaOdKnaleDPZ6cx7LJIFlMXw3xDc7NV9pIEf3K09sj5ILfs\nCxB/X+n3rlcXc9jhtzd1HVvxS3tDOL9cxCstRKwrNRYvR7OYDDlFy9SEnDSSpaomfZmnF3LYGXQ0\nF/MTjarJq0vSFgNsnUOxyirP/NFbOPP3xS9+Ec899xzGx8fxwx/+ECdPnoTX6+3Gvuko5FBjtP/k\n/OYO/gqNm4hSnT9AWfAXELHy3RtyYj5TEhV8keDPoeKEpMlowICTRkwjf1/SXyNGz62p9afAFqvd\n9ke92mhXvmW7H7U6h6fPyy/9kglatcq+JPMnZlJ9pnFOiZkqDTr4cnJZYfCXKlXBAV0J/gC+2X9e\nZQeJKltHvMC0XeCFnBaYDJQsrb2kCudDsFH2lapWcC5ewJjPBmcHCzMi+fLvpxY2/O3ZyymUa/Wm\nxqIYQk4LKrW6av2khEypivlsGTv89ub5vauhavGLJWk9oPlG+49aZd8t2fNntVphtfI3+kqlgj17\n9uDs2bOa71g3ePzxxzE5OYmJiQncd999vd4d1fHZaewM2JvWPGqxlKvgvy8lFXlNSqGgSuaPfzDJ\nKftKcS/YE3KC5YBTUeGAe6bhxCAknyCVEY9VM3/fGRFi1wQycaqm3AsJ/nYGtQn+Do/yC9vnZuWX\nfkmmR61gKOCgUWBYwb4/plZHLM8Iavyt/tw8w8qeYCUQrUA51mVymGgEf2r6Ri/lKuC49tl9o4HC\nsNsiy2KNnA9CGnmdCDpopEpVSeXFcpXFTKqEMW/nFo0rhlwYclnw4xZTsz88n4CBQtMWTgykJKt2\ngE6GmVYvPCcauquzEltLiBSW0oEPs5GCkaK2ZuYvEokgnU7jPe95D44cOYJbb70V4+Pj3dg3TWFZ\nFp/4xCfwve99D2fOnMHXv/51nDlzpte7pTrXj/vw6mJO9pTragqVGu78xksYuudJvOlvf4qDf/1f\nTcFfLVkJ/pRn/vIyAtbFhlXRqAghUTLxe2qxcxmCODEMutQXxR3x2LCcZzRpuCbB1w6/8JCK12aG\ngzaqmoW8nCoi6KA1ExMeclsRdltxRuD36wTJ9AyopN9IMs5CJcd5kRp/hKZtmEI5HpLl7lbmb0eA\n7/NS87wikkSdfrNRrw1LEmz2COR8EBuUt2LQZUGuUhOt9wgAFxNFcBBeqFEUhfcdHMbPLiWxtM6W\n7YfnlzE54GzKWInBbyfC5OouQFv9Rm6rGUEH3ZTNEktOpcwfRVGw08at2fP3yCOPwOv14p577sGf\n/dmf4c4778Sjjz7ajX3TlBMnTmBiYgI7duwATdP4wAc+gMcee6zXu6U612/zI1Gs4qV5ZRPa8XwF\nb77/p/jqiVl88OoR/OmR3VguMHjz/T9FSYPejtWQsq+S5lyS+ZOjxL6Yq8BBG0U9zImzilBQHM2U\nwXEQ9GCVA8n8lVTMjBBmUiUE7GYEHeIe9Gp7DV9KljDssnTUW1TKtWNenFnKyRb0JZmeAZV+W2Lx\nJuSXSrIfYs+pZlCpMIgiD/mQBudyK3Y0ekl/IbHPqxMkOz3QYVEx7rNjKV+RXHpdOR/kW9+Fmtk0\n8RkuIjklJkt/+8EwGJbDg8/NNV8rVVk8ezmFQ6Me+CS4K/kb5+uyykNn5DdqJVYtNfNHngMOFeSi\n7GbD1sz8AcAzzzyDr371q7jhhhtw/fXXY35+Xuv90pz5+XmMjo42/zsSiWyJ77Wea8f4MtYPL8jv\nYVrIlvH2v/sZXovl8cX37Mff/8qVuOfdk/iXD16NpVwFf/vMJZX2tjUk8+dS0DPjaZSkCjIC1cVc\nBQE7LWqV6LKaMOSy4JKA1AppWBdTSpZK2G1FqlTVxGJpJl0UFLteTcRrVXXy+HKqiCF364lMtXjj\nmBdzmbLsrHaiyMBooBBUSYQ6INLblTwAxQzjACuZv5hMz1gCCf7UFCvvxHYySBRXr+pAAotOgdKo\n14pYvoKcxDJ5ssjASK0E8XIggbWUFoqpxvl7YKi1xt9q3rTNj0GnZY3G5X9dSIBhOVwTkdbj33Sl\nUVlibIH8Rusm/ScHHJLlXkjmT0krEcG2STN/gnfwe++9F88//zzOnj2Lj3zkI6hWq/jQhz6En/70\np93Yv55y/PhxHD9+HACwuLiIaFSejYwU4nF17KUIQXCwGCmcuLCI6B7penLRHIPbv3kOC3kGf/GO\nERzbRiOXjCEH4A0eDjt8Fhz/2UV8cFJY+kMus4u8/VC9kEY0Ku5iXX8cqyyfxVlOZST/jjPLWXho\nIL28hKyI77jdY8aFeLbjdl5oBOMBFFU/r+x1/iZ5cuoyqBH1BNnj8TguxnMYcZmRjLcXhV2Nz8zh\nTLaISzNzoGWY2q+mznGYSZVwaMii6bW43c7fyP/zxfNwXhmS/O9n42m4aAOyyTiipc4PfDHXe73A\nLxSmozFEo+2D3jOz/IPbV8+LOj5s43Nnl+KIRuUHJhcX+XOZLqcRjWozaLQae40PKs7NLyEabR1w\nSr2Pnp2Pw0ABNiaDaLT1YsUFBlWWw8mpGewbFH8vnV1Ow0UbkU3EQBXlHWdDmc/inZ9bQjQo7t+8\nfDkOj8XY+E7CQ1f/Y5cbD728jP86dR67Anb85fen4LUYcdDDIhqNij6mTGOxt7icVPU6nVpIwG42\nAIUkotGVrO8AzSKWZ3DmwozoBcjlhUZPb6nzfVoMNMUhVyjJ+hy1n/dSEAz+HnnkEZw8eRJXX301\nACAcDiOXU19dvduMjIxgdna2+d9zc3MYGRlZ85677roLd911FwDg0KFDCIfDXdk3tbdzw85Z/Gw+\ni8HBIRglDBe8NJ/Be77xKtKlGr70y1fiQ9dENjzA//gIi9/85sv4eYLCL1+pzfGxzPEP45HhIYTD\nIu982HgcbeaXUDNZJR/fZOU1jHodiKw7P9px1VgCDz0/C/9ACFZz60ts+WQGJgOFQ5PjCAfF99OI\nYX/GCOAysganqucSx3GI5udw3fag6M/dNZTBt8+m4PANYEBhZmg+U0K1zmF7yK/ptfhu3wDwrSmc\nLxhkbadCReG10RgbGRGVrRbaRs1WBPALVM2Oju/N1BNwWUzYs30MIRHHmnOUAPwCNYHPFYIxpGAz\nGzAxPtrMUmrJMMfBajqNZI3uuN9SvlOuHoPfTmP7aATBNuXrKxIUgFmkKbukz65gAR47jdHIiOx2\nhX3mPICzKBnFb3uuMI1xvwMT46Oihsr+9Jd8+JdTT+Pen8TwV/9zH350KYvfffM2vPXABIwN+Rsx\n2/ZVWQCnUDVJO05CZNkoQk4LxkdH1sgo7YnUACwgb3LjqnBA1GeZF/gybWR4EOHwoKL98jougKUo\n2d+1W3HFegTPCJqmQVFUM6tTKGxuwWDC4cOHMTU1henpaTAMg4cffhjHjh3r9W5pwgevGcFiroL/\nOCMuW8NxHP7hvy/hTX/7DGp1Dv/4voP49UMbAz8AeN/BYRgoqGKJ1Q5SqnUp7PNyW0yyDLgXcxVJ\nD7U9ISfyDIupePvV9oVEAWG3tdkcrSaklDyn8rRdqsSiVK1jWEIQN+KxotZwSFEKsSocEiEzowSP\nzYwxr7VZNpNKPM/AYzOL1kUTgvTmCYn88tJBtGjpILGfK8RygYHPZlalhCYGiqKw3W9XdZo0muU1\n/jq1dkQa5cYZicMFyYa1m5LzgWS0pEhVnYsXMOa1ilYTGPXZ8Mc3TeCHFxJ465d+CidtxK9eNdIM\n/MRiMxthNRlkuSl1YiFbRtBBb+j9lmNpScq+agixO8xbtOx7++2342Mf+xjS6TS+/OUv4ytf+Qp+\n67d+qxv7pikmkwn3338/jh49CpZl8dGPfhT79+/v9W5pwq37h0AbKXzzpSjec2C443tPLWTxvx45\njf+6kMB1Y17cc3QS75ocaFvSdVvNOBh244U57bQEScAm5CUrhNtqljztW66yyJRrzSZmMUyG+JLQ\nS9EMDoRbl13PL/MWaUoD2lYQKYR4B7N2Ocw1esPEWIcRyI15OlnE1RJ7h9ZDJo1HNA7+AN5D9sxS\nHvU6J9myLJavYNBlUVzmJthpIyxGg6DLx1y6jJDTInqC0Wo2wm42inYPacdyoQKvzQyrAgceqewM\nOvBaLCfr92nFQqaCoJPu2Es63BAWlyqjlGz4PJsVSDq5LLxvclJkH2++UsNCriJq2GM1f/COCVxY\nLqJSq+OmXUEcHpN3zXpsZsUSQuuZz5axN+TcEMyS+928lOCvcc57bcoX33baiIVcBWydkxwo9xLB\nJw9N07jpppvgdrtx9uxZfOYzn8GRI0e6sW+ac8stt+CWW27p9W5ojsdmxrv3hPDkuTjylVrL0kO6\nVMU9T5zF/T+9BCdtxB+9cwIfu34c435hPbUbdw3giz+5iFiuIqrcJJXmwIfCQMljlZ75W5Ig8Ewg\nsgjtphE5jsP55QJu3hNSXeMP4PfVbKBUnbIFgPks/3nrp+06QYK/OYnZklYQz+RdIfW8kNtxcMSD\n770WQyxfkZxpXMpVsFeCNIYQFEXBZzcLNtDPpEt463a/pN7boEOebdhqYl3y9V3NzoAdT03FkatU\n4VHhAT6fLWNnsPOxI+45CYnBX6LIYMgtPHTRCYqiEHTSSBXFbft8I2u9fjhCCIvJiK/96lWS9289\nfptZ1cwfx3FYzFbw1u3+DX8j9xgpQXmuUoOBAtxW5QsWO21EucqiVq/DaOjeAkgpgk+eWCyGP/qj\nP8Lly5dx00034aabburGfumozN1v24FEsYpPPnJ6zev1OoevnZjF5H1P429+Mo33XjGEf7vjEO59\n96SowA8AbtgZQJXl8MRZbUq/BaYGq8mgOJPitZmRlzjtK8XajRDx2GAzG9pO/C4XGOQqrCb+tABg\nMFAYdFlUF3qeb2icTQyID77IjVkNTbbZdBlui0kTeZz1HBhygeWkiz3X2DqSxarq5fyAg+4YpJWr\nLJYLjOSJW6HPFQMpc3eTcZ8NpWodsyqUfqtsHcsFRnCBZzIaEHTSkvXrksUqPCpk+ENOWnTmj7Qs\nEBHkbuO3m5FVmFFeTbrhRBN0bDy//XYzLEaDJFWBPFODzWwEbVQh+DMbUa7VUWPV11XVEsGn6Z//\n+Z9jamoKd955J772ta9h165d+OM//mNcuHChG/unoxJvnwjijkMRPPj8LP7mJxexmC3j319ZwHV/\n8ww+8o2XMOQQDSjDAAAgAElEQVSy4J9+7So88P6DuHH3gKQSxVu2+0EBeGZ6o0K8GhQYFjazESaF\nmQWPzYx8hUWVFa/JtCij1GkwUJgIOpplyvWQVXlEA5kXwojHqrrO1nyWgcVkwKiE/R5y8dkSNbKQ\nxA5PS40/woFhvlwv1RoxUeStznwqybwQhl0WLBfaC3eT/k4p5ykADDgsyJRrsjUNAT6z1S13DwLp\nv7uognUgCebESLEMS1xUVdk6cpWaKlZ/wy4rkqWqKPF2ovG3X4TMixYEHDRyCs+r1RCB51b6ohRF\nYchtQVzCAjNXZmE3G2E2Ks9WO2gTSlUWNQnf9fcePY1/en5W+I0aIuoJT1EUhoaGMDQ0BJPJhFQq\nhdtuuw1/8Ad/oPX+6ajI37z3Clwx5MbvPfoqhu/9Pn7lwecRzZZxz7t247GPHsYHr4nIMqP32szY\nP+RqaQyuBnzwZ1Ac/PEDH9L8MZvuHhJ7Z/YPunA5WUKtRaBJvG7FZlblEPHaEC9UVLv5Anzmb8hl\ngUvCOWIyGhBSyWt4LlNCyLmx4VsLdg84QBspnF+WFlyQ7+lXORM26rUhnmfa+vDONfqdpLpIBBuZ\nP7lWaeUqiwLDds3dg0AWTjNJ5YNE5DcTI2Q84rF1DMLXQ7Q21ciMhlwWpIrtz4HVTMULGHDQmg9H\ntcNvp5Gp1CRp73ViRYS79eJGqqVlrlKDnTYq6sMk8A4fdUnB30PPzeK7v9BuSFIMgsuRL37xi3jo\noYcQDAbxm7/5m/irv/ormM1m1Ot17Nq1C5///Oe7sZ86KuC2mvHS//02/PMLc3glmsW4z4537Qli\nV9CpWKPvqhE3njwbB1Orq9boTigwNVjNRpgUrtI8NhPyDAuGrUNsMYRYX0nN0u0bcuEbL0Uxly5h\nW2Dt1s4vF0ABkiyTpBJ2W/FEnkGBqckK6Fsxn2Uw7LJIDr5GPDZVMn8zqRJu2BnoSm+ZyWjAZMjZ\nzNKKhQgmq535G/FYkSgyyBQZ2FrYDBKB5xERFoSrCThoZMo1lGt1tHmudiTR6EHzqnSOiSXS+J6L\nAq4nYog12hnEeO+G3VacmEmhVGVhF+EOQazdlA6rAY2yb6mKYqNk2Yl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gUOcg29qtX9ju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z7NSxMGA4U3jvE9OasbwU8v8sMeWjZm67SHTOi3k+YgWbOBPgycyHS6kNZfNFvGgJOGvU8kN7Y6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\nijD4IyIiIrIi/w9ooo24L1+ZwQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mKhswtdu7F_l",
        "colab_type": "text"
      },
      "source": [
        "Specifying Custom Seasonalities\n",
        "\n",
        "As an example, here we fit the data but replace the weekly seasonality with monthly seasonality. The monthly seasonality then will appear in the components plot:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "E8O57qbK6vSZ",
        "colab_type": "code",
        "outputId": "370d67d1-f6e7-4ba2-993e-c20c90181c87",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 695
        }
      },
      "source": [
        "m = Prophet(weekly_seasonality=False)\n",
        "m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n",
        "forecast = m.fit(chinese).predict(future)\n",
        "fig = m.plot_components(forecast)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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27VpCQ0NZtmwZQ4cOBWD58uXe5WXuv/9+Zs2a1QoVi0hLM8awvfSId/297c35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31Zxs3vZLJpegSudlZKRzJpxvz+NEXmXs/T1Q3cvOoYKn0LLwzXEOPc3KE/402lnoo2f01NTUyc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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x648 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EDLIMfsG7zhX",
        "colab_type": "text"
      },
      "source": [
        "Sub-daily data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FerSiBoM7rRq",
        "colab_type": "code",
        "outputId": "008fb643-c901-4d19-ed11-e3939cba24bf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 498
        }
      },
      "source": [
        "m = Prophet(changepoint_prior_scale=0.01).fit(chinese)\n",
        "future = m.make_future_dataframe(periods=50, freq='H')\n",
        "fcst = m.predict(future)\n",
        "fig = m.plot(fcst)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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F04amSH7vsaggG9dCBVmVYbLFIhIDMhEREVGVvGlBU2Qo3hklv4LcYsFSLDzRldJZK112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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fraHIAWg8u0y",
        "colab_type": "code",
        "outputId": "0b298c96-070d-468a-d846-501ac7e8cc88",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        }
      },
      "source": [
        "fig = m.plot_components(fcst)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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/YP369axfvx6ApqYmGhsbfbYvX2tpafF3CaOC+ux7g9XjYz0eXvmgk53vtfPS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\nERERUYT5H7m14C2WpQn/AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9DRDtQpc88Xq",
        "colab_type": "text"
      },
      "source": [
        "Monthly data\n",
        "\n",
        "We can use Prophet to fit monthly data. However, the underlying model is continuous-time, which means that you can get strange results if you fit the model to monthly data and then ask for daily forecasts.\n",
        "\n",
        "This is the same issue from above where the dataset has regular gaps. When we fit the yearly seasonality, it only has data for the first of each month and the seasonality components for the remaining days are unidentifiable and overfit. This can be clearly seen by doing MCMC to see uncertainty in the seasonality:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t5rpQlaQ8x9F",
        "colab_type": "code",
        "outputId": "5e9f93df-942e-4a31-f3a3-564f44aa7d5a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 498
        }
      },
      "source": [
        "m = Prophet(seasonality_mode='multiplicative').fit(chinese)\n",
        "future = m.make_future_dataframe(periods=3652)\n",
        "fcst = m.predict(future)\n",
        "fig = m.plot(fcst)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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QkKC4uDhJ1rC7ePFi7dy5U7t27dLixYsbAm9cXJzeeeedhuelpKRc0xoAAMBxHC46ownv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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "G3rGDOKq-PVU",
        "colab_type": "code",
        "outputId": "2068a615-916a-49f1-9bb8-0c478b58b469",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 594
        }
      },
      "source": [
        "m = Prophet(seasonality_mode='multiplicative', mcmc_samples=300).fit(chinese)\n",
        "fcst = m.predict(future)\n",
        "fig = m.plot_components(fcst)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n",
            "WARNING:pystan:Rhat above 1.1 or below 0.9 indicates that the chains very likely have not mixed\n",
            "WARNING:pystan:244 of 600 iterations ended with a divergence (40.7 %).\n",
            "WARNING:pystan:Try running with adapt_delta larger than 0.8 to remove the divergences.\n",
            "WARNING:pystan:236 of 600 iterations saturated the maximum tree depth of 10 (39.3 %)\n",
            "WARNING:pystan:Run again with max_treedepth larger than 10 to avoid saturation\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pSWSlDscv5mZBFzIigIgdtiZGHYvdzUREVYIBkIgghEDUEYg6x16YW2sDV4br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\nx+PhmWeeYcWKFeTn53PZZZfx4YcfsnXrVtasWTPAZg4806dPZ8OGDQO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bQGW+c6hN0hgA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\nQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bnlooZ_R_bUf",
        "colab_type": "text"
      },
      "source": [
        "This is the same issue from above where the dataset has regular gaps. When we fit the yearly seasonality, it only has data for the first of each month and the seasonality components for the remaining days are unidentifiable and overfit. This can be clearly seen by doing MCMC to see uncertainty in the seasonality:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7AuEh_pf-PQ0",
        "colab_type": "code",
        "outputId": "68172b67-dd96-4288-fd2c-e8ffd62017c2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 594
        }
      },
      "source": [
        "m = Prophet(seasonality_mode='multiplicative', mcmc_samples=300).fit(chinese)\n",
        "fcst = m.predict(future)\n",
        "fig = m.plot_components(fcst)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n",
            "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 7.\n",
            "WARNING:pystan:Rhat above 1.1 or below 0.9 indicates that the chains very likely have not mixed\n",
            "WARNING:pystan:133 of 600 iterations ended with a divergence (22.2 %).\n",
            "WARNING:pystan:Try running with adapt_delta larger than 0.8 to remove the divergences.\n",
            "WARNING:pystan:297 of 600 iterations saturated the maximum tree depth of 10 (49.5 %)\n",
            "WARNING:pystan:Run again with max_treedepth larger than 10 to avoid saturation\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pBIx4EX35ABMDVtJyaGFwbZsG18Z1NFlFRESOVbExgCIydSzLojHl0DjBAEVj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\n",
            "text/plain": [
              "<Figure size 648x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kwDnsm14APhY",
        "colab_type": "text"
      },
      "source": [
        "The seasonality has low uncertainty at the start of each month where there are data points, but has very high posterior variance in between. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OUr_AS_cAPLE",
        "colab_type": "code",
        "outputId": "f7dfb0ae-47b2-406e-ed4e-8bfa5ed538d7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        }
      },
      "source": [
        "future = m.make_future_dataframe(periods=5, freq='D')\n",
        "fcst = m.predict(future)\n",
        "fig = m.plot(fcst)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KcRy11QVqaq+x7ThK5U3lTFtul0vt9QEtbw+qMeST31ubq+OYWy4akIeGhrRu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\ngExERERElIABmYiIiIgowf8HeoIe+ZS8t1MAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UNZVBWMtAw7p",
        "colab_type": "text"
      },
      "source": [
        "\n",
        "Diagnostics and Cross-Validation \n",
        "\n",
        "Prophet includes functionality for time series cross validation to measure forecast error using historical data. This is done by selecting cutoff points in the history, and for each of them fitting the model using data only up to that cutoff point. We can then compare the forecasted values to the actual values."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "U59ERIpvAwLo",
        "colab_type": "code",
        "outputId": "d3fd0dd7-5517-4c49-a5b7-61b9ade66434",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 246
        }
      },
      "source": [
        "from fbprophet.diagnostics import cross_validation\n",
        "df_cv = cross_validation(m, initial='8 days', period='1 days', horizon = '1 days')\n",
        "df_cv.head()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:fbprophet:Making 1 forecasts with cutoffs between 2020-01-30 19:00:00 and 2020-01-30 19:00:00\n",
            "INFO:fbprophet:n_changepoints greater than number of observations.Using 6.\n",
            "WARNING:pystan:Rhat above 1.1 or below 0.9 indicates that the chains very likely have not mixed\n",
            "WARNING:pystan:162 of 600 iterations ended with a divergence (27 %).\n",
            "WARNING:pystan:Try running with adapt_delta larger than 0.8 to remove the divergences.\n",
            "WARNING:pystan:265 of 600 iterations saturated the maximum tree depth of 10 (44.2 %)\n",
            "WARNING:pystan:Run again with max_treedepth larger than 10 to avoid saturation\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\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>ds</th>\n",
              "      <th>yhat</th>\n",
              "      <th>yhat_lower</th>\n",
              "      <th>yhat_upper</th>\n",
              "      <th>y</th>\n",
              "      <th>cutoff</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2020-01-30 21:30:00</td>\n",
              "      <td>2933.051469</td>\n",
              "      <td>6866.630026</td>\n",
              "      <td>10520.760782</td>\n",
              "      <td>9670.0</td>\n",
              "      <td>2020-01-30 19:00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2020-01-31 19:00:00</td>\n",
              "      <td>2490.279629</td>\n",
              "      <td>-4044.836656</td>\n",
              "      <td>20931.847206</td>\n",
              "      <td>11234.0</td>\n",
              "      <td>2020-01-30 19:00:00</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                   ds         yhat  ...        y              cutoff\n",
              "0 2020-01-30 21:30:00  2933.051469  ...   9670.0 2020-01-30 19:00:00\n",
              "1 2020-01-31 19:00:00  2490.279629  ...  11234.0 2020-01-30 19:00:00\n",
              "\n",
              "[2 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 105
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kf-y-cn4AHCA",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}