notebooks/gas-prices-brazil.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gas Prices in Brazil\n",
    "\n",
    "> The National Agency of Petroleum, Natural Gas and Bio fuels (ANP in Portuguese) releases weekly reports of gas, diesel and other fuels prices used in transportation across the country. These datasets bring the mean value per liter, number of gas stations analyzed and other information grouped by regions and states across the country.\n",
    "\n",
    "Source: https://www.kaggle.com/matheusfreitag/gas-prices-in-brazil"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from fbprophet import Prophet\n",
    "from fbprophet.plot import add_changepoints_to_plot\n",
    "from fbprophet.diagnostics import cross_validation\n",
    "from fbprophet.diagnostics import performance_metrics\n",
    "from fbprophet.plot import plot_cross_validation_metric\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "pd.set_option(\"display.max_columns\", 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>DATA INICIAL</th>\n",
       "      <th>DATA FINAL</th>\n",
       "      <th>REGIÃO</th>\n",
       "      <th>ESTADO</th>\n",
       "      <th>PRODUTO</th>\n",
       "      <th>NÚMERO DE POSTOS PESQUISADOS</th>\n",
       "      <th>UNIDADE DE MEDIDA</th>\n",
       "      <th>PREÇO MÉDIO REVENDA</th>\n",
       "      <th>DESVIO PADRÃO REVENDA</th>\n",
       "      <th>PREÇO MÍNIMO REVENDA</th>\n",
       "      <th>PREÇO MÁXIMO REVENDA</th>\n",
       "      <th>MARGEM MÉDIA REVENDA</th>\n",
       "      <th>COEF DE VARIAÇÃO REVENDA</th>\n",
       "      <th>PREÇO MÉDIO DISTRIBUIÇÃO</th>\n",
       "      <th>DESVIO PADRÃO DISTRIBUIÇÃO</th>\n",
       "      <th>PREÇO MÍNIMO DISTRIBUIÇÃO</th>\n",
       "      <th>PREÇO MÁXIMO DISTRIBUIÇÃO</th>\n",
       "      <th>COEF DE VARIAÇÃO DISTRIBUIÇÃO</th>\n",
       "      <th>MÊS</th>\n",
       "      <th>ANO</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2004-05-09</td>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>CENTRO OESTE</td>\n",
       "      <td>DISTRITO FEDERAL</td>\n",
       "      <td>ETANOL HIDRATADO</td>\n",
       "      <td>127</td>\n",
       "      <td>R$/l</td>\n",
       "      <td>1.288</td>\n",
       "      <td>0.016</td>\n",
       "      <td>1.19</td>\n",
       "      <td>1.350</td>\n",
       "      <td>0.463</td>\n",
       "      <td>0.012</td>\n",
       "      <td>0.825</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.4201</td>\n",
       "      <td>0.9666</td>\n",
       "      <td>0.133</td>\n",
       "      <td>5</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2004-05-09</td>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>CENTRO OESTE</td>\n",
       "      <td>GOIAS</td>\n",
       "      <td>ETANOL HIDRATADO</td>\n",
       "      <td>387</td>\n",
       "      <td>R$/l</td>\n",
       "      <td>1.162</td>\n",
       "      <td>0.114</td>\n",
       "      <td>0.89</td>\n",
       "      <td>1.449</td>\n",
       "      <td>0.399</td>\n",
       "      <td>0.098</td>\n",
       "      <td>0.763</td>\n",
       "      <td>0.088</td>\n",
       "      <td>0.5013</td>\n",
       "      <td>1.05</td>\n",
       "      <td>0.115</td>\n",
       "      <td>5</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>2004-05-09</td>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>CENTRO OESTE</td>\n",
       "      <td>MATO GROSSO</td>\n",
       "      <td>ETANOL HIDRATADO</td>\n",
       "      <td>192</td>\n",
       "      <td>R$/l</td>\n",
       "      <td>1.389</td>\n",
       "      <td>0.097</td>\n",
       "      <td>1.18</td>\n",
       "      <td>1.760</td>\n",
       "      <td>0.419</td>\n",
       "      <td>0.070</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.095</td>\n",
       "      <td>0.5614</td>\n",
       "      <td>1.161</td>\n",
       "      <td>0.098</td>\n",
       "      <td>5</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>2004-05-09</td>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>CENTRO OESTE</td>\n",
       "      <td>MATO GROSSO DO SUL</td>\n",
       "      <td>ETANOL HIDRATADO</td>\n",
       "      <td>162</td>\n",
       "      <td>R$/l</td>\n",
       "      <td>1.262</td>\n",
       "      <td>0.070</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.509</td>\n",
       "      <td>0.432</td>\n",
       "      <td>0.055</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.119</td>\n",
       "      <td>0.5991</td>\n",
       "      <td>1.22242</td>\n",
       "      <td>0.143</td>\n",
       "      <td>5</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>2004-05-09</td>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>NORDESTE</td>\n",
       "      <td>ALAGOAS</td>\n",
       "      <td>ETANOL HIDRATADO</td>\n",
       "      <td>103</td>\n",
       "      <td>R$/l</td>\n",
       "      <td>1.181</td>\n",
       "      <td>0.078</td>\n",
       "      <td>1.05</td>\n",
       "      <td>1.400</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.066</td>\n",
       "      <td>0.941</td>\n",
       "      <td>0.077</td>\n",
       "      <td>0.7441</td>\n",
       "      <td>1.0317</td>\n",
       "      <td>0.082</td>\n",
       "      <td>5</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0 DATA INICIAL  DATA FINAL        REGIÃO              ESTADO  \\\n",
       "0           0   2004-05-09  2004-05-15  CENTRO OESTE    DISTRITO FEDERAL   \n",
       "1           1   2004-05-09  2004-05-15  CENTRO OESTE               GOIAS   \n",
       "2           2   2004-05-09  2004-05-15  CENTRO OESTE         MATO GROSSO   \n",
       "3           3   2004-05-09  2004-05-15  CENTRO OESTE  MATO GROSSO DO SUL   \n",
       "4           4   2004-05-09  2004-05-15      NORDESTE             ALAGOAS   \n",
       "\n",
       "            PRODUTO  NÚMERO DE POSTOS PESQUISADOS UNIDADE DE MEDIDA  \\\n",
       "0  ETANOL HIDRATADO                           127              R$/l   \n",
       "1  ETANOL HIDRATADO                           387              R$/l   \n",
       "2  ETANOL HIDRATADO                           192              R$/l   \n",
       "3  ETANOL HIDRATADO                           162              R$/l   \n",
       "4  ETANOL HIDRATADO                           103              R$/l   \n",
       "\n",
       "   PREÇO MÉDIO REVENDA  DESVIO PADRÃO REVENDA  PREÇO MÍNIMO REVENDA  \\\n",
       "0                1.288                  0.016                  1.19   \n",
       "1                1.162                  0.114                  0.89   \n",
       "2                1.389                  0.097                  1.18   \n",
       "3                1.262                  0.070                  1.09   \n",
       "4                1.181                  0.078                  1.05   \n",
       "\n",
       "   PREÇO MÁXIMO REVENDA MARGEM MÉDIA REVENDA  COEF DE VARIAÇÃO REVENDA  \\\n",
       "0                 1.350                0.463                     0.012   \n",
       "1                 1.449                0.399                     0.098   \n",
       "2                 1.760                0.419                     0.070   \n",
       "3                 1.509                0.432                     0.055   \n",
       "4                 1.400                 0.24                     0.066   \n",
       "\n",
       "  PREÇO MÉDIO DISTRIBUIÇÃO DESVIO PADRÃO DISTRIBUIÇÃO  \\\n",
       "0                    0.825                       0.11   \n",
       "1                    0.763                      0.088   \n",
       "2                     0.97                      0.095   \n",
       "3                     0.83                      0.119   \n",
       "4                    0.941                      0.077   \n",
       "\n",
       "  PREÇO MÍNIMO DISTRIBUIÇÃO PREÇO MÁXIMO DISTRIBUIÇÃO  \\\n",
       "0                    0.4201                    0.9666   \n",
       "1                    0.5013                      1.05   \n",
       "2                    0.5614                     1.161   \n",
       "3                    0.5991                   1.22242   \n",
       "4                    0.7441                    1.0317   \n",
       "\n",
       "  COEF DE VARIAÇÃO DISTRIBUIÇÃO  MÊS   ANO  \n",
       "0                         0.133    5  2004  \n",
       "1                         0.115    5  2004  \n",
       "2                         0.098    5  2004  \n",
       "3                         0.143    5  2004  \n",
       "4                         0.082    5  2004  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"../data/gas-prices-2004-2019.tsv\", sep=\"\\t\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['ETANOL HIDRATADO', 'GASOLINA COMUM', 'GLP', 'GNV', 'ÓLEO DIESEL',\n",
       "       'ÓLEO DIESEL S10'], dtype=object)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"PRODUTO\"].unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['DISTRITO FEDERAL', 'GOIAS', 'MATO GROSSO', 'MATO GROSSO DO SUL',\n",
       "       'ALAGOAS', 'BAHIA', 'CEARA', 'MARANHAO', 'PARAIBA', 'PERNAMBUCO',\n",
       "       'PIAUI', 'RIO GRANDE DO NORTE', 'SERGIPE', 'ACRE', 'AMAPA',\n",
       "       'AMAZONAS', 'PARA', 'RONDONIA', 'RORAIMA', 'TOCANTINS',\n",
       "       'ESPIRITO SANTO', 'MINAS GERAIS', 'RIO DE JANEIRO', 'SAO PAULO',\n",
       "       'PARANA', 'RIO GRANDE DO SUL', 'SANTA CATARINA'], dtype=object)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"ESTADO\"].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Framing an example problem\n",
    "- Predicting the \"PREÇO MÉDIO REVENDA\"\n",
    "- On \"DATA FINAL\"\n",
    "- Only for the state of São Paulo\n",
    "- Only for the product \"GASOLINA COMUM\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "gas_sp = df[(df[\"PRODUTO\"]==\"GASOLINA COMUM\") & (df[\"ESTADO\"]==\"SAO PAULO\")][[\"DATA FINAL\", \"PREÇO MÉDIO REVENDA\"]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DATA FINAL</th>\n",
       "      <th>PREÇO MÉDIO REVENDA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>12087</th>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>1.891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12114</th>\n",
       "      <td>2004-05-22</td>\n",
       "      <td>1.888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12141</th>\n",
       "      <td>2004-05-29</td>\n",
       "      <td>1.894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12168</th>\n",
       "      <td>2004-06-05</td>\n",
       "      <td>1.912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12195</th>\n",
       "      <td>2004-06-12</td>\n",
       "      <td>1.919</td>\n",
       "    </tr>\n",
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      ],
      "text/plain": [
       "      DATA FINAL  PREÇO MÉDIO REVENDA\n",
       "12087 2004-05-15                1.891\n",
       "12114 2004-05-22                1.888\n",
       "12141 2004-05-29                1.894\n",
       "12168 2004-06-05                1.912\n",
       "12195 2004-06-12                1.919"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gas_sp[\"DATA FINAL\"] = pd.to_datetime(gas_sp[\"DATA FINAL\"], format=\"%Y-%m-%d\")\n",
    "gas_sp.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2004-05-15</td>\n",
       "      <td>1.891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2004-05-22</td>\n",
       "      <td>1.888</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2004-05-29</td>\n",
       "      <td>1.894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2004-06-05</td>\n",
       "      <td>1.912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2004-06-12</td>\n",
       "      <td>1.919</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "          ds      y\n",
       "0 2004-05-15  1.891\n",
       "1 2004-05-22  1.888\n",
       "2 2004-05-29  1.894\n",
       "3 2004-06-05  1.912\n",
       "4 2004-06-12  1.919"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gas_sp = (gas_sp\n",
    "          .reset_index(drop=True)\n",
    "          .rename(columns={\"DATA FINAL\": \"ds\",\n",
    "                           \"PREÇO MÉDIO REVENDA\": \"y\"}))\n",
    "gas_sp.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>785.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2.845648</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.609221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.888000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.411000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2.638000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.177000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>4.512000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                y\n",
       "count  785.000000\n",
       "mean     2.845648\n",
       "std      0.609221\n",
       "min      1.888000\n",
       "25%      2.411000\n",
       "50%      2.638000\n",
       "75%      3.177000\n",
       "max      4.512000"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gas_sp.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f44edbd84a8>"
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     "execution_count": 12,
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gas_sp[\"y\"].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count                     785\n",
       "unique                    785\n",
       "top       2013-04-06 00:00:00\n",
       "freq                        1\n",
       "first     2004-05-15 00:00:00\n",
       "last      2019-06-29 00:00:00\n",
       "Name: ds, dtype: object"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gas_sp[\"ds\"].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have 15 years of data. This info can be useful for cross validation. We may use 12 years to fit the model and 3 years to validate, or some combination like that."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Univariate forecast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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i7dq1AIDs7GysW7euS/kDgIyMDLz77ruYOHEiPvnkE0yfPt3l/2VCREQ0mPYXXMALu89h6w8VcJfLMC8xGEtSDZgREwitp9LZ49EQNehHfa5Zswbp6enIyMjAihUrsGzZMkRHR8Pf3x+bN28e7HGIiIhcjtUm8I9vy7AuOw8Hz9dC66HAyvHhuD0lFJOjdPBUyp09Ig1xg1IAp06diqlTpwIAnn766c7HPTw88PHHHw/GCERERC6v1WzFu0eL8cLOsyioM8Hg44FHpo7CbSmhGGfwgULOW7XR1eF530RERENcdZMJbxw4j9e/KUBVczti/VVYOzceC5JDEBOg5uFT1GcsgERERENUfk0zXtqTj78dKUKr2YZJkX74f7PjMCFAICV2pLPHIxfGAkhERDTEHC2qw4vZ5/Dpt2Vwk8kwJz4IS9MMmBkbCD8v935fD5foZyyAREREQ4DNJvD56Uq8sPsc9uZfgNpdjmVpYbhzbCimjNLBy51/ZZP98L8mIiIiJzJZrNh0vBTr9+Thx4omBKvd8eCUkbg9JRTp4b5Q8sQOcgAWQCIiIieoazXjLwcK8do3BShrMCEmwBtP3xiHRSl6xAWq4ebGEzvIcVgAiYiIBlFRbQte2VuAtw6dR1O7FddG+OKJGTHISApGuJ+Xs8cjiWABJCIiGgSnjPV4cXceNp80AkJgZmwglqaFYXZ8EHTe7s4ejySGBZCIiMhBhBD4+mw1Xsw+h6/OVsNT6YbbU/S4a5wBU6MDoFbxr2FyDv6XR0REZGdmqw1/P2nEuuw8nDQ2QOelxKpJkbgtRY8JI/zhruCJHeRcPRZAjUZzxSuLNzQ0OGQgIiIiV9XYZsH/Hj6Pl/fmo7iuDSP9PfHkzBjclhyKxBAN5Dyxg4aIHgtgY2MjAODJJ5+EXq/HsmXLIITApk2bUFZWNmgDEhERDXWl9a34075C/OVgIerbLEg1+OChKVG4dUwIRvh58VZtNOT0ugt469atOHXqVOfP9957L1JSUvD00087dDAiIqKh7ruyBqzPzsMHJ0phtQlMjw7A0lQD5iYGI1CtcvZ4RD3qtQB6e3tj06ZNuPPOOyGTyfDhhx/C29t7MGYjIiIacoQQ2JlbjXXZefj3mSp4KNywYIwei8eFYlp0AHw8lM4ekahXvRbADz74AA888AAeeOAByGQyTJo0CR988MFgzEZERDRkXO7EjvuuG4FFKXpMHOEPD6Xc2SMSXbVeC2BkZCS2bNkyGLMQERENOQ1tZrx1qAiv7M1HSX3HiR3/9zcxWJgcgtEhPlDwVm3kgnotgFVVVXjrrbdQWFgIi8XS+fjf/va3K67X1taGKVOmwGQywWKxYNGiRfjjH//YZZkNGzbgkUcegcFgAACsWrUKK1eu7E8OIiIiuyqubcVr3xQg69B5NLRZkBamxcNTR2FeYjCidDyxg1xbrwXwlltuwfXXX4/f/OY3kMuv/uNtlUqFXbt2Qa1Ww2w2Y/LkyZgzZw4mTJjQZbk77rgDr7/+et8nJyIicoCTpfVYvycPm08YIYTAjJhALE0zYGZsIEJ8PJw9HpFd9FoAW1pa8Pzzz/d5wzKZDGq1GgBgNpthNpv5ryUiIhqShBD46mwVXtydh69zO+7YcVuKHovHGnD9KB18PXliBw0vvRbAefPmYceOHZg7d26fN261WpGWloZz587h/vvvx/jx47st8+mnn2Lv3r2IjY3Fyy+/jPDw8G7LZGVlISsrCwBQXl4Oo9HY51mAjt3ZUiXV7MwtLVLNDUg3+0Bzt1tt2HK6Fn89VoGfqluh85Rj5bgA3BStRUqoD1QKG1pqq9BSa6eB7YSvt7Q4IrdMCCGutIBGo0FzczPc3d3h7u4OIQRkMlmf7gRSV1eH+fPn409/+hNGjx7d+XhNTQ3UajVUKhX++te/4qOPPsKuXbuuuK309HQcO3bsqn/vSxmNRoSGhvZrXVcn1ezMLS1SzQ1IN3t/c9e1mpF18Dxe3ZcPY4MJo3ReWJYWhoykYIzW+0A5xE/s4OstLVebuy8dqddPAH++I8hA+Pr6Ytq0afjiiy+6FECdTtf5/cqVK/Hoo48O+PciIiLqyfkLLXh1XwHeOnweTSYrrg33xePTozEnPghROm+48VZtJBG9FsCfb/9WUFCAJ598EsXFxSgrK8O11157xfWqqqqgVCrh6+uL1tZWfPXVV3jssce6LFNWVga9Xg+g444jCQkJA4hCRER0eTkldViXnY+/nzICQmBWXCCWpIZhWnQAQrU8sYOkp9cCeN9998HNzQ27du3Ck08+CbVajfvvvx9Hjx694nplZWW4++67YbVaYbPZcPvtt2PevHlYs2YN0tPTkZGRgddeew1bt26FQqGAv78/NmzYYK9cREQkcUIIfHG6Euuy87HrXDW83eVYPDYUd44NxXUj/eHn5e7sEYmcptcCePjwYeTk5GDcuHEAAD8/P7S3t/e64eTkZJw4caLb45feQ3jt2rVYu3ZtX+YlIiK6IpPFig9ySrEuOw8/VjQhSO2OB64fifmjQ3BNhC+83Hv9q49o2Ov1/wKlUgmr1dp5CZeqqiq4uQ3tg2OJiEh6alva8ZeD5/HavgKUN5oQG+CNp2+Mw81JwRgdouEdO4gu0WsBXL16NebPn4/Kyko88cQT+OSTT/DMM88MxmxERES9KqhpwSv78vH24SI0t1sxcYQfnpwZg9lxQRjJO3YQXVavBXDJkiVIS0vDzp07IYTAZ599xpM1iIjI6Y4W1eH/fZ6P7bm1kMlkmB0XiKWpYZgWE4BgjcrZ4xENaVcsgFarFUlJSTh9+jTi4+MHayYiIqLLstkEtv9UgXXZedibfwFeSjcsTQ3DHWNDMTnKHz4evGMH0dW4YgGUy+WIi4tDUVERIiIiBmsmIiKiLtrMVmw8XoL1e/JxurIJIRoVfjclCtP0MswcFwcP5dXfq56IrmIXcG1tLZKSknDttdfC29u78/GtW7c6dDAiIqKa5na8eaAQf/qmAJVN7YgL9MYzs+OQkRSMxBAfVJSXsfwR9UOvBbCtrQ3btm3r/FkI0e2CzkRERPaUV92Ml/fm429HitBqtmFSpB+evjEOs+MDEeHHEzuIBqrXAmixWHDDDTd0eay1tdVhAxERkXQdOl+Lddl5+Md3ZZDLZJgTH4SlaQZMjw5AgJondhDZS48F8M0338Qbb7yB/Px8JCcndz7e2NiISZMmDcpwREQ0/NlsAlt/KMe67DzsL6yFRqXAb9PDccfYUEwa6Q+1ihduJrK3Hv+vuuuuuzBnzhz813/9F5577rnOxzUaDfz9/QdlOCIiGr5azVa8d6wY67PzkVvdjFAfFR6+IQoLk0ORGqaFu4IXbiZylB4LoFarhVarxYcffjiY8xAR0TBX1WTCG/sL8fr+QlQ3tyMxWI21c+Nx65gQxAao4ebG4/uIHI2fqxMR0aA4U9mEV/bmY8PRYrRZbLg+yh/LUsMwNyEIBl9PZ49HJCksgERE5DBCCGTn1eClPfnY9mMF3OUyzE0IxtJUA6bHBMDPy93ZIxJJEgsgERHZXbvFhr+fMuKlPXk4UdoAP08lMidEYFGyHpOjdPDktfuInIoFkIiI7OZCSzuyDp7Hn74pgLHBhCh/L/zf38RgwZgQjNH7QCHniR1EQ4HDCmBbWxumTJkCk8kEi8WCRYsW4Y9//GOXZUwmE5YvX47jx49Dp9Pho48+QmRkpKNGIiIiB8mtasKr+wrwzpFitJitGB/hi8enR2NeYjAi/XnhZqKhxmEFUKVSYdeuXVCr1TCbzZg8eTLmzJmDCRMmdC7z9ttvw8/PD+fOncPmzZvx2GOP4aOPPnLUSEREZEdCCOzLv4CX9uRh648VULjJMDsuCEtSDZgWHYAgDS/cTDRUOawAymQyqNVqAIDZbIbZbO72L8AtW7bgqaeeAgAsWrQIq1atghCC/1IkIhrCzFYbPj5lxEt78nG8pB5aDwVWXBuORcmhmBjpBx8PpbNHJKJeOPQYQKvVirS0NJw7dw73338/xo8f3+X50tJShIeHdwyiUECr1aKmpgYBAQFdlsvKykJWVhYAoLy8HEajsV/zVFVV9Wu94UCq2ZlbWqSaGxic7HVtFnzwbTXePlGJ8iYzwn2UeHB8EGaP0iI+SA2l3IKmC1Vocvgkv5Dqa87c0uKI3A4tgHK5HCdPnkRdXR3mz5+P77//HqNHj+7zdjIzM5GZmQkASE9PR2hoaL9nGsi6rk6q2ZlbWqSaG3Bc9rzqZry6rwB/O1KE5nYrrgnX4vEZYZiTEIRonbfTL9ws1decuaXF3rkH5SxgX19fTJs2DV988UWXAmgwGFBcXIywsDBYLBbU19dDp9MNxkhERHQFQgjsL7iAl/bm47PvyyGXyXBjXCDuGtdx/b4QHw9nj0hEA+CwAlhVVQWlUglfX1+0trbiq6++wmOPPdZlmYyMDLz77ruYOHEiPvnkE0yfPp3H/xEROZHFasMn35bhpT35OFpcBx+VAr9ND8ftKXpMGqmDxoNXDyMaDhz2f3JZWRnuvvtuWK1W2Gw23H777Zg3bx7WrFmD9PR0ZGRkYMWKFVi2bBmio6Ph7++PzZs3O2ocIiK6gprmdmw4WozX9hWgqK4VEb6eeHzaKNw6Ro9xBi3cFbx+H9Fw4rACmJycjBMnTnR7/Omnn+783sPDAx9//LGjRiAioh60W2w4UHgBX52twpdnq3C8pB5CAGlhWjw4ZSQykkIQpeP1+4iGK36WT0QkAUIInK5swpdnOgrfnrwaNLdbIZcBo/U+yBwfgSlROsyMC0SgmtfvIxruWACJiIapqiYTvj5b3fkpX2l9GwAgwtcTcxOCMD7CD+lhWsQFqRGkVjn9bF4iGjwsgEREw8SFlnYcK67DrtwafHm2EidKGwAAPioFronwxW/TwzA+wg8pBh/ofTyg5H15iSSLBZCIyAXVNLcjp6Qex0vqcKykHkcKa1Dc0A4AkLvJkKLX4N7rRmB8hB8mjPBDhJ8nPJVyJ09NREMFCyAR0RBX09yO4yV1OF5S3/GruA6Fta2dzxu0Hhjl645bxoQiIViNa8N9ERuk5i3ZiKhHLIBERENEu8WGkvpW5FY1Xyx7HaXv/CVlL0zrgYQgNW5OCkZCkBpJIRpE6bxhaahBZESYE6cnIlfCAkhENAhsNoHyRhOK61pRXNeKootfi+vaUFTb8X1FkwlC/LLOz2Uv42LZSw71QZTOGzov927X5TO28Hg+Irp6LIBERAMkhEBtq7lboesserWtKG1og9kquqznoXBDiEaFYI0K10b4dn5v8PFAysWy5++lhIInaxCRnbEAEhH1oqXdguK6tl9KXe3FolfX0vl4c7u1yzpyNxmC1e4I1qgQH6TG1FE6BF8seCEaFSJ8PRGq9YBGpYBapYAHT9AgokHEAkhEkma22mCsb/vl07u61l8VvVbUtJi7rafzUiJYo4LeR4VxBp+OYqfuKHehvh6I8PWC1qOj3Hkp5bzGHhENKSyARDRsCSFQ2dTerdBdWvTKGtpg67pnFhqVAsEadwSrVd0+udNrPDBS5wV/L3d4u8vh7S7nLloicjksgETksuo7j7vrONbux+Iq1FkrOoteSX0bTBZbl3VUcreLhc4dqQYtguMDEaxWIUTjgWCNO6L8vRDs4wFvdznUKgUvlkxEwxILIBENWSaLFfk1LThb1YyzVU3Iq2lBUe0vn+Q1mCxdlneTAYFqFYLVKozSeeO6SH8Ea9wRovFAiEaFEX6eCPf1gFqlhFolh0rB4+6ISJpYAInIqaw2gaLaVuRWN10seh1l70xVE4pqW7vsntV6KKD38UCwWoXReg2C1arOghfh6wGNtRFREWEdJ1Uo3CCT8bg7IqLLYQEkIocTQqCi0dRZ7nKrO4remcom5NU0o/2Sy6N4KeWI8PNEbIAaM2MCEeHniZH+XkgMViNU6wm1uxxe7vLLljuj0YJAtWowoxERuSSHFcDi4mIsX74cFRUVkMlkyMzMxAMPPNBlmezsbNxyyy0YOXIkAGDBggVYs2aNo0YiIgerazUj92LJO3vp1+omNJl+uUyKUi5DuNYTEX6eSA/3xQg/T4zw88QYvQbRAd7w9XSHnGfNEhE5jMPt+rfZAAAUN0lEQVQKoEKhwPr165GamorGxkakpaVh5syZSExM7LLc9ddfj23btjlqDCKys1azFeeqL36S12WXbTOqm9s7l5MBCPXxQISfJ25KCEaErycifD2REKJGQpAGOm8lj8EjInIShxVAvV4PvV4PANBoNEhISEBpaWm3AkhEQ4/FakNhbWv3T/KqmlBc19Zl2QBvd0T4emLySP+OkufniZhAb4wO0SBIrYJ3D7triYjIeQblGMDCwkKcOHEC48eP7/bcwYMHkZKSgtDQUKxbtw5JSUndlsnKykJWVhYAoLy8HEajsV9zVFVV9Wu94UCq2Zm7Z0IIlDWZkV/bhoJaE/Jr25B/8WtRvQmXXj1F7e6GMI074vyUmBHhDYOPEiO0KsQFeCJY7Q5vlQJuXUqeDTDVo8EENNg/Xo+k+noD0s3O3NLC3Pbj8ALY1NSEhQsX4pVXXoGPj0+X51JTU3H+/Hmo1Wrs2LEDt956K3Jzc7ttIzMzE5mZmQCA9PR0hIaG9nuegazr6qSaXeq5a5rbu3yCl1vdjLOVzcitbkaL+Zfj8lQKN0T4eiJSp8YN0UGdn+Ylhagx0t8Lvp7ucFcM/WviSfX1BqSbnbmlhbntw6EF0Gw2Y+HChViyZAkWLFjQ7flLC+HcuXNx3333obq6GgEBAY4ci2jYaTJZkFvVfPHs2iacLKpCSVMezlY1o7b1l9uYyWWA4eLJF7eODkGEb8cxenFBasQGquHnqYS3ihcHICIa7hz2Ti+EwIoVK5CQkICHHnrossuUl5cjODgYMpkMR44cgc1mg06nc9RIdAU/VTTi89OVqGs1o90i0G61/fLLYkO7VVzyvQ2mX339eRmrzQa5mwxKuRsUv/qqdJNBIZdB6eZ28asMis7nZVC4uV382vV75a+Wufzyl/s9ZairbUBIq+qqlv/1bHI3mdOOXbPaBJpMFjS0WdBgsqDRZEFDmxkNbR3fVze3XzwRo6PwGRtMXdYP9FIgUueN6dE6RPh5YcQll1IJVKugUSl4b1oiIglzWAHcv38/3n//fYwZMwZjx44FADz77LMoKioCANxzzz345JNP8Oabb0KhUMDT0xObN2/mweKDRAiBk6UN+PS7Mnz6bRlOVzZ1Pucu717clPJfipFS3lGklG5uUCncoHZXdPwsl0Euk8EqBCy2jl/Wi78sNoFWsw0W0y8/W20CFnHJ979avuOrreMxcYUwvep+WMHV+rksKrqV1Y5C6X5psbykQCrcei+6Jouto+C1WdBoMqO+83sLmtutvc7m66lAhK8X0sJ8cevFT/Ii/byQFKKBW0stYiLDeRszIiK6LIcVwMmTJ0OIK/+tvWrVKqxatcpRI9Cv2GwCh87X4h/fleEf35Wj4EIL3GRAqkGLR6eNwtRROozRa6CUyyGXAfKLn4LJZR1f3S5+Hcj12YQQsAnAJsTFX79+7OJX2y/fCwBWmw3tFgGz1QaTteNru9UG82W+N9sufrUK1NfWwEPjC6sNnWXSIgQsVtFZVLuXzu6l1GK7uLzVBqtAZzm9bNFtt/3y2MXf69dF12K1QaVwg5e7HN7uCni7yzHC1xPeqo7vvS9e7Fh98TkvpRzeqo6ftZ5KBHi7w6D1gK+nEp7K7pdSMRqbWP6IiKhHPNhnmLNYbdibfwHvHyrCl/nfw9hggsJNhvERvliSasD0mACkGrTQeioHZR6ZTNZRLjE4n/QajYpBO2C4o7ReLLW4WGBt3QuvTQjIgF8+Sb346SA//SYiosHCAjgMWW0Ce/Jq8OGJUnz2fTmqm9uhkstw3Uh/3HtdJGbEBGCM3gdqHuxvV25uMrgNUrElIiIaCDaAYUIIgVPGBmzKKcWHOaUobWiDl1KOKVH+mBYdgFQ/GyaNHnXZ3YVEREQkLSyALq7wQgs+yCnFppwS/FjRBLmbDNdF+uH+SZGYmxiE+CA1VAo5jEYjyx8REREBYAF0STXN7fj4lBGbckrxTcEFAMDYUB88Pj0at44JQapByxMAiIiIqEcsgC6ipd2Cf/1QgU05pfjiTCXMVoEofy/cd90I3JwUgilR/vBy58tJREREvWNjGMKsNoFdudXYlFOCT78tQ1O7FYHe7rhzbChmxwVhTkIQ/LzcnT0mERERuRgWwCFGCIGcknpszCnB5hNGlDea4O0ux4yYAMyJD8LNicEI1XrwkiFERETUbyyAQ0RedTM+OFGKTcdLcKaqGUq5DJMj/fG7KVG4ZXQwYgLUvHUXERER2QULoBNVNZnw0UkjNuWU4ND5OgAdd+V4YkY0MkaHYGyoFu4KnsxBRERE9sUCOMiaTRZs+aEcm3JK8e8zVbDaBGICvPF/JkfipoQgTB6pgzcv0ExEREQOxKYxCCxWG746W4VNOR135mhutyJYo8LSVAPmxAdhZlwg/HkyBxEREQ0SFkAHEULgSFEdNuWU4qOTpahsaoePSoFZsYGYE99xBq+BJ3MQERGRE7AA2tnZqiZsOl6KD06U4Fx1C9zlMlwfpcOcuEDclBiCmEBvyHkyBxERETkRC6AdVDSasPlEKTbllOJocR1kAK4J98WamQbclBiMlFAfqBS8DRsRERENDQ4rgMXFxVi+fDkqKiogk8mQmZmJBx54oMsyQgg88MAD2LFjB7y8vLBhwwakpqY6aiS7amyz4LPvy7DxeCm+zq2CTQBxgd548PqRmB0fhOsi/aHxYL8mIiKiocdhDUWhUGD9+vVITU1FY2Mj0tLSMHPmTCQmJnYu8/nnnyM3Nxe5ubk4fPgw7r33Xhw+fNhRIw2Y2WrDv89UYdPxEmz5oRytZhtCfVT47TXhmBMfhKmjdAhQq5w9JhEREdEVOawA6vV66PV6AIBGo0FCQgJKS0u7FMAtW7Zg+fLlkMlkmDBhAurq6lBWVta53lAghMCBwlpsyinB308aUdNihtZDgXkJwZgdH4RZcQEwaD15MgcRERG5jEHZR1lYWIgTJ05g/PjxXR4vLS1FeHh4589hYWEoLS0dEgXwp4pGbMopxQc5pSi40AKVwg03ROkwJz4Qs+ODEB3gDYWcF2kmIiIi1+PwAtjU1ISFCxfilVdegY+PT7+2kZWVhaysLABAeXk5jEZjv7ZTVVV1Vcu1mm1IfeMk2q0C40K8cPt1IZg+0gexAd4dd+awNqKyorFfMzjL1WYfbphbWqSaG5BuduaWFua2H4cWQLPZjIULF2LJkiVYsGBBt+cNBgOKi4s7fy4pKYHBYOi2XGZmJjIzMwEA6enpCA0N7fdMV7vux8sVUKsUSA3TwsdD2e/fbygZyJ+bK2NuaZFqbkC62ZlbWpjbPhy2D1MIgRUrViAhIQEPPfTQZZfJyMjAe++9ByEEDh06BK1WOyR2/wLAvKQQTI0OGDblj4iIiOhnDvsEcP/+/Xj//fcxZswYjB07FgDw7LPPoqioCABwzz33YO7cudixYweio6Ph5eWFd955x1HjEBEREdFFDiuAkydPhhDiisvIZDL8+c9/dtQIRERERHQZPI2ViIiISGJYAImIiIgkhgWQiIiISGJkorcD9YaYgIAAREZG9mvdqqoqBAYG2ncgFyHV7MwtLVLNDUg3O3NLC3NfWWFhIaqrq69qmy5XAAciPT0dx44dc/YYTiHV7MwtLVLNDUg3O3NLC3PbD3cBExEREUkMCyARERGRxMifeuqpp5w9xGBKS0tz9ghOI9XszC0tUs0NSDc7c0sLc9uHpI4BJCIiIiLuAiYiIiKSHBZAIiIiIolx6QJYXFyMadOmITExEUlJSXj11VcBABcuXMDMmTMRExODmTNnora2FgAghMDq1asRHR2N5ORk5OTkdNleQ0MDwsLCsGrVqkHP0lf2zF5UVIRZs2YhISEBiYmJKCwsdEakq2LP3I8++iiSkpKQkJCA1atX93rvamfqa+7Tp09j4sSJUKlUWLduXZdtffHFF4iLi0N0dDSee+65Qc/SF/bK3dN2hjJ7vuYAYLVaMW7cOMybN29Qc/SVPXPX1dVh0aJFiI+PR0JCAg4ePDjoea6WPXO//PLLSEpKwujRo7F48WK0tbUNep6r1dfcmzZtQnJyMsaMGYPrrrsOp06d6tyWK723AfbL3u/3N+HCjEajOH78uBBCiIaGBhETEyN++OEH8cgjj4i1a9cKIYRYu3atePTRR4UQQmzfvl3Mnj1b2Gw2cfDgQXHttdd22d7q1avF4sWLxf333z+4QfrBntlvuOEG8eWXXwohhGhsbBTNzc2DnObq2Sv3/v37xXXXXScsFouwWCxiwoQJYvfu3U7JdDX6mruiokIcOXJE/Pd//7d48cUXO7djsVhEVFSUyMvLEyaTSSQnJ4sffvhh8ANdJXvl7mk7Q5m9sv9s/fr1YvHixeKmm24avBD9YM/cy5cvF2+99ZYQQgiTySRqa2sHMUnf2Ct3SUmJiIyMFC0tLUIIIW677TbxzjvvDG6YPuhr7v3794sLFy4IIYTYsWNH53u6q723CWG/7P19f3PpAvhrGRkZ4ssvvxSxsbHCaDQKITr+YGJjY4UQQmRmZooPPvigc/lLlzt27Ji44447xDvvvOMSBfDX+pv9hx9+EJMmTXLKzPbQ39wHDhwQqampoqWlRTQ3N4u0tDTx448/OiVDf/SW+2d/+MMfuvzlcODAATFr1qzOn5999lnx7LPPDs7QdtDf3D1tx5UMJHtxcbGYPn262Llz55AvgL/W39x1dXUiMjJS2Gy2QZ3XXvqbu6SkRISFhYmamhphNpvFTTfdJP79738P6uwDcbW5hRDiwoULIjQ0VAjh+u9tQvQ/e0/b6Y1L7wK+VGFhIU6cOIHx48ejoqICer0eABASEoKKigoAQGlpKcLDwzvXCQsLQ2lpKWw2G37/+99fdreJKxhI9rNnz8LX1xcLFizAuHHj8Mgjj8BqtTolR18NJPfEiRMxbdo06PV66PV63HjjjUhISHBKjr66mtw96enPwxUMJHdP23EVA83+4IMP4oUXXoCbm2u95Q8kd0FBAQIDA/Ef//EfGDduHFauXInm5ubBGHvABpLbYDDg4YcfRkREBPR6PbRaLWbNmjUYYw9YX3O//fbbmDNnDgDXfm8DBpa9p+30xrXeDXrQ1NSEhQsX4pVXXoGPj0+X52QyGWQy2RXXf+ONNzB37lyEhYU5ckyHGGh2i8WCffv2Yd26dTh69Cjy8/OxYcMGB05sHwPNfe7cOfz0008oKSlBaWkpdu3ahX379jlyZLsYaG5XZa/cV9rOUDXQ7Nu2bUNQUJDLXTvNHu9tOTk5uPfee3HixAl4e3u7xHFhA81dW1uLLVu2oKCgAEajEc3Nzdi4caMjR7aLvubevXs33n77bTz//PODOaZD2Ct7X9/fXL4Ams1mLFy4EEuWLMGCBQsAAMHBwSgrKwMAlJWVISgoCEDHv4yKi4s71y0pKYHBYMDBgwfx+uuvIzIyEg8//DDee+89PP7444Mfpo/skT0sLAxjx45FVFQUFAoFbr311m4nxww19sj9z3/+ExMmTIBarYZarcacOXOG9AHiQN9y96SnP4+hzB65e9rOUGeP7Pv378fWrVsRGRmJO++8E7t27cLSpUsdPvtA2CN3WFgYwsLCOj8JWbRo0bB6b+vJ119/jZEjRyIwMBBKpRILFizAgQMHHD77QPQ197fffouVK1diy5Yt0Ol0AFzzvQ2wT/aettMbly6AQgisWLECCQkJeOihhzofz8jIwLvvvgsAePfdd3HLLbd0Pv7ee+9BCIFDhw5Bq9VCr9dj06ZNKCoqQmFhIdatW4fly5cP+X8p2iv7Nddcg7q6OlRVVQEAdu3ahcTExMEPdJXslTsiIgJ79uyBxWKB2WzGnj17hvQu4L7m7sk111yD3NxcFBQUoL29HZs3b0ZGRoZDZx8Ie+XuaTtDmb2yr127FiUlJSgsLMTmzZsxffr0If2JkL1yh4SEIDw8HGfOnAEA7Ny5c1i9t/UkIiIChw4dQktLC4QQ2Llz57B6bysqKsKCBQvw/vvvIzY2tnN5V3tvA+yXvd/vb307RHFo2bdvnwAgxowZI1JSUkRKSorYvn27qK6uFtOnTxfR0dFixowZoqamRgghhM1mE/fdd5+IiooSo0ePFkePHu22TVc5CcSe2b/88ksxZswYMXr0aHH33XcLk8nkrFi9sldui8UiMjMzRXx8vEhISBC/+93vnBmrV33NXVZWJgwGg9BoNEKr1QqDwSDq6+uFEB1nRsfExIioqCjxzDPPODNWr+yVu6ftDGX2fM1/tnv37iF/Eog9c584cUKkpaWJMWPGiFtuuaXzDMqhyJ6516xZI+Li4kRSUpJYunSpaGtrc2a0K+pr7hUrVghfX9/OZdPS0jq35UrvbULYL3t/3994KzgiIiIiiXHpXcBERERE1HcsgEREREQSwwJIREREJDEsgEREREQSwwJIREREJDEsgERE/fTUU0+57C0kiUjaWACJiIiIJIYFkIioD/7nf/4HsbGxmDx5cuddJl577TUkJiYiOTkZd955p5MnJCLqncLZAxARuYrjx49j8+bNOHnyJCwWC1JTU5GWlobnnnsOBQUFUKlUqKurc/aYRES94ieARERXad++fZg/fz68vLzg4+PTea/R5ORkLFmyBBs3boRCwX9XE9HQxwJIRDRA27dvx/3334+cnBxcc801sFgszh6JiOiKWACJiK7SlClT8Nlnn6G1tRWNjY3417/+BZvNhuLiYkybNg3PP/886uvr0dTU5OxRiYiuiPsqiIiuUmpqKu644w6kpKQgKCgI11xzDWQyGZYuXYr6+noIIbB69Wr4+vo6e1QioiuSCSGEs4cgIiIiosHDXcBEREREEsMCSERERCQxLIBEREREEsMCSERERCQxLIBEREREEsMCSERERCQxLIBEREREEvP/AUBEm4qtuPnpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Making 1 forecasts with cutoffs between 2016-06-29 00:00:00 and 2016-06-29 00:00:00\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mape: 5.58%\n"
     ]
    }
   ],
   "source": [
    "m = Prophet(growth=\"linear\",\n",
    "            daily_seasonality=False,\n",
    "            weekly_seasonality=False,\n",
    "            yearly_seasonality=False,\n",
    "            )\n",
    "m.fit(gas_sp)\n",
    "\n",
    "future = m.make_future_dataframe(periods=52*2, freq='W')\n",
    "\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), m, forecast)\n",
    "plt.show()\n",
    "fig2 = m.plot_components(forecast)\n",
    "plt.show()\n",
    "df_cv = cross_validation(m, initial='4380 days', period='180 days', horizon = '1095 days')\n",
    "df_p = performance_metrics(df_cv)\n",
    "fig = plot_cross_validation_metric(df_cv, metric='mape')\n",
    "plt.show()\n",
    "print('mape:', '{:.2f}%'.format(100 * df_p['mape'].mean()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Making 1 forecasts with cutoffs between 2016-06-29 00:00:00 and 2016-06-29 00:00:00\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mape: 5.04%\n"
     ]
    }
   ],
   "source": [
    "gas_sp_logistic = gas_sp.copy()\n",
    "gas_sp_logistic[\"cap\"] = 6\n",
    "gas_sp_logistic[\"floor\"] = 1\n",
    "\n",
    "m = Prophet(growth=\"logistic\",\n",
    "            daily_seasonality=False,\n",
    "            weekly_seasonality=False,\n",
    "            yearly_seasonality=False,\n",
    "           )\n",
    "m.fit(gas_sp_logistic)\n",
    "\n",
    "future = m.make_future_dataframe(periods=52*2, freq='W')\n",
    "future[\"cap\"] = 6\n",
    "future[\"floor\"] = 1\n",
    "\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)\n",
    "a = add_changepoints_to_plot(fig.gca(), m, forecast)\n",
    "plt.show()\n",
    "fig2 = m.plot_components(forecast)\n",
    "plt.show()\n",
    "df_cv = cross_validation(m, initial='4380 days', period='180 days', horizon = '1095 days')\n",
    "df_p = performance_metrics(df_cv)\n",
    "fig = plot_cross_validation_metric(df_cv, metric='mape')\n",
    "plt.show()\n",
    "print('mape:', '{:.2f}%'.format(100 * df_p['mape'].mean()))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}