{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(**Click the icon below to open this notebook in Colab**)\n",
    "\n",
    "[![Open InColab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/xiangshiyin/machine-learning-for-actuarial-science/blob/main/2025-spring/week07/notebook/demo.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `pandas` series data type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "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>Date</th>\n",
       "      <th>Births</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1959-01-01</td>\n",
       "      <td>35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1959-01-02</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1959-01-03</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Date  Births\n",
       "0  1959-01-01      35\n",
       "1  1959-01-02      32\n",
       "2  1959-01-03      30"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "sample_data = pd.read_csv('../data/sample.csv')\n",
    "sample_data.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.frame.DataFrame"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(sample_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "sample_ts = sample_data.set_index('Date')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "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>Births</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1959-01-01</th>\n",
       "      <td>35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-02</th>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-03</th>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Births\n",
       "Date              \n",
       "1959-01-01      35\n",
       "1959-01-02      32\n",
       "1959-01-03      30"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_ts.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.series.Series"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(sample_ts.Births)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "1959-01-01    35\n",
       "1959-01-02    32\n",
       "1959-01-03    30\n",
       "Name: Births, dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_ts.Births.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(sample_ts[:20], label='sample time series')\n",
    "plt.legend()\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total 16\n",
      "-rw-r--r--@ 1 xiangshiyin  staff  5855 Feb 24 01:24 sample.csv\n"
     ]
    }
   ],
   "source": [
    "%%sh\n",
    "\n",
    "ls -l ../data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time Series data - Example: S&P 500 Index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "YF.download() has changed argument auto_adjust default to True\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  1 of 1 completed\n"
     ]
    },
    {
     "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 tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>Price</th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Open</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ticker</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>3257.850098</td>\n",
       "      <td>3258.139893</td>\n",
       "      <td>3235.530029</td>\n",
       "      <td>3244.669922</td>\n",
       "      <td>3459930000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>3234.850098</td>\n",
       "      <td>3246.149902</td>\n",
       "      <td>3222.340088</td>\n",
       "      <td>3226.360107</td>\n",
       "      <td>3484700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>3246.280029</td>\n",
       "      <td>3246.840088</td>\n",
       "      <td>3214.639893</td>\n",
       "      <td>3217.550049</td>\n",
       "      <td>3702460000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-07</th>\n",
       "      <td>3237.179932</td>\n",
       "      <td>3244.909912</td>\n",
       "      <td>3232.429932</td>\n",
       "      <td>3241.860107</td>\n",
       "      <td>3435910000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-08</th>\n",
       "      <td>3253.050049</td>\n",
       "      <td>3267.070068</td>\n",
       "      <td>3236.669922</td>\n",
       "      <td>3238.590088</td>\n",
       "      <td>3726840000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-09</th>\n",
       "      <td>3274.699951</td>\n",
       "      <td>3275.580078</td>\n",
       "      <td>3263.669922</td>\n",
       "      <td>3266.030029</td>\n",
       "      <td>3641230000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-10</th>\n",
       "      <td>3265.350098</td>\n",
       "      <td>3282.989990</td>\n",
       "      <td>3260.860107</td>\n",
       "      <td>3281.810059</td>\n",
       "      <td>3214580000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-13</th>\n",
       "      <td>3288.129883</td>\n",
       "      <td>3288.129883</td>\n",
       "      <td>3268.429932</td>\n",
       "      <td>3271.129883</td>\n",
       "      <td>3459390000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-14</th>\n",
       "      <td>3283.149902</td>\n",
       "      <td>3294.250000</td>\n",
       "      <td>3277.189941</td>\n",
       "      <td>3285.350098</td>\n",
       "      <td>3687620000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-15</th>\n",
       "      <td>3289.290039</td>\n",
       "      <td>3298.659912</td>\n",
       "      <td>3280.689941</td>\n",
       "      <td>3282.270020</td>\n",
       "      <td>3721490000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Price             Close         High          Low         Open      Volume\n",
       "Ticker            ^GSPC        ^GSPC        ^GSPC        ^GSPC       ^GSPC\n",
       "Date                                                                      \n",
       "2020-01-02  3257.850098  3258.139893  3235.530029  3244.669922  3459930000\n",
       "2020-01-03  3234.850098  3246.149902  3222.340088  3226.360107  3484700000\n",
       "2020-01-06  3246.280029  3246.840088  3214.639893  3217.550049  3702460000\n",
       "2020-01-07  3237.179932  3244.909912  3232.429932  3241.860107  3435910000\n",
       "2020-01-08  3253.050049  3267.070068  3236.669922  3238.590088  3726840000\n",
       "2020-01-09  3274.699951  3275.580078  3263.669922  3266.030029  3641230000\n",
       "2020-01-10  3265.350098  3282.989990  3260.860107  3281.810059  3214580000\n",
       "2020-01-13  3288.129883  3288.129883  3268.429932  3271.129883  3459390000\n",
       "2020-01-14  3283.149902  3294.250000  3277.189941  3285.350098  3687620000\n",
       "2020-01-15  3289.290039  3298.659912  3280.689941  3282.270020  3721490000"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import yfinance as yf\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "stock_symbol = '^GSPC'\n",
    "start_date = '2020-01-01'\n",
    "end_date = '2024-12-31'\n",
    "\n",
    "# Download historical data\n",
    "df_sp500 = yf.download(stock_symbol, start=start_date, end=end_date)\n",
    "df_sp500.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.frame.DataFrame"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(df_sp500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "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>Ticker</th>\n",
       "      <th>^GSPC</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>3257.850098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>3234.850098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>3246.280029</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker            ^GSPC\n",
       "Date                   \n",
       "2020-01-02  3257.850098\n",
       "2020-01-03  3234.850098\n",
       "2020-01-06  3246.280029"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_sp500['Close'].head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1500x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 10))\n",
    "plt.plot(df_sp500['Close'], label='S&P 500')\n",
    "plt.ylabel('Price')\n",
    "plt.xlabel('Date')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time Sereies Decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "seasonal_decompose(df_sp500.Close.loc['2024-01-01':'2024-12-31'], period=5).plot()\n",
    "plt.xticks(rotation=45)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "decomposition = seasonal_decompose(df_sp500.Close.loc['2024-01-01':'2024-12-31'], period=5)\n",
    "plt.plot(decomposition.resid, label='Residual')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The autocorrelation function (ACF) is a statistical tool to analyze the relationship between the current value of a time series and its lagged values.\n",
    "\n",
    "$$\n",
    "ACF(h) = \\frac{Cov(y_t, y_{t-h})}{Var(y_t)} = \\frac{\\sum_{t=h+1}^{T} (y_t - \\bar{y})(y_{t-h} - \\bar{y})}{\\sum_{t=1}^{T} (y_t - \\bar{y})^2}\n",
    "$$\n",
    "\n",
    "where:\n",
    "- $T$ is the total number of observations.\n",
    "- $y_t$ is the value of the time series at time $t$.\n",
    "- $\\bar{y}$ is the mean of the time series.\n",
    "- $h$ is the lag.\n",
    "\n",
    "Strong correlations in the ACF plot indicate that the time series has:\n",
    "- **Significant memory** (dependence on past values).\n",
    "- **Trends** (slowly decaying correlations).\n",
    "- **Seasonality** (periodic spikes at regular intervals)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot autocorrelation function(ACF)\n",
    "\n",
    "sm.graphics.tsa.plot_acf(df_sp500.Close.loc['2024-01-01':'2024-12-31'], lags=30)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('ACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The partial autocrelation plot (PACF) is a graphical method used to determine the order of an autoregressive (AR) model. It helps identify the significant lagged values that contribute to the behavior of the time series.\n",
    "\n",
    "$$\n",
    "PACF(h) = \\frac{Cov(y_t, y_{t-h}|y_{t-1},y_{t-2},...,y_{t-h+1})}{\\sqrt{Var(y_t|y_{t-1},y_{t-2},...,y_{t-h+1})} \\sqrt{Var(y_{t-h}|y_{t-1},y_{t-2},...,y_{t-h+1})}}\n",
    "$$\n",
    "\n",
    "Where:\n",
    "- $y_t$ is the time series at time $t$.\n",
    "- $h$ is the lag."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot partial autocorrelation function (PACF)\n",
    "\n",
    "sm.graphics.tsa.plot_pacf(df_sp500.Close.loc['2024-01-01':'2024-12-31'], lags=30)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('PACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Seasonality"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### S&P 500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "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>GSPC</th>\n",
       "      <th>Year</th>\n",
       "      <th>DayOfYear</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>3257.850098</td>\n",
       "      <td>2020</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>3234.850098</td>\n",
       "      <td>2020</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>3246.280029</td>\n",
       "      <td>2020</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   GSPC  Year  DayOfYear\n",
       "Date                                    \n",
       "2020-01-02  3257.850098  2020          2\n",
       "2020-01-03  3234.850098  2020          3\n",
       "2020-01-06  3246.280029  2020          6"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## plot YOY trend\n",
    "\n",
    "df2 = df_sp500.Close.copy()\n",
    "df2.columns = ['GSPC']\n",
    "df2['Year'] = df2.index.year\n",
    "df2['DayOfYear'] = df2.index.dayofyear\n",
    "df2.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "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>Year</th>\n",
       "      <th>2020</th>\n",
       "      <th>2021</th>\n",
       "      <th>2022</th>\n",
       "      <th>2023</th>\n",
       "      <th>2024</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DayOfYear</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3257.850098</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4742.830078</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3234.850098</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4796.560059</td>\n",
       "      <td>3824.139893</td>\n",
       "      <td>4704.810059</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>3700.649902</td>\n",
       "      <td>4793.540039</td>\n",
       "      <td>3852.969971</td>\n",
       "      <td>4688.680176</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Year              2020         2021         2022         2023         2024\n",
       "DayOfYear                                                                 \n",
       "2          3257.850098          NaN          NaN          NaN  4742.830078\n",
       "3          3234.850098          NaN  4796.560059  3824.139893  4704.810059\n",
       "4                  NaN  3700.649902  4793.540039  3852.969971  4688.680176"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df2_yoy = df2.pivot(index='DayOfYear', columns='Year', values='GSPC')\n",
    "df2_yoy.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "for year in df2_yoy.columns:\n",
    "    plt.plot(df2_yoy.index, df2_yoy[year], label=year)\n",
    "plt.legend()\n",
    "plt.title('YoY Trend of SP500 Index')\n",
    "plt.xlabel('Day of Year')\n",
    "plt.ylabel('SP500 Index')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "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>Ticker</th>\n",
       "      <th>GSPC</th>\n",
       "      <th>Year</th>\n",
       "      <th>Week</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>3257.850098</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>3234.850098</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>3246.280029</td>\n",
       "      <td>2020</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker             GSPC  Year  Week\n",
       "Date                               \n",
       "2020-01-02  3257.850098  2020     1\n",
       "2020-01-03  3234.850098  2020     1\n",
       "2020-01-06  3246.280029  2020     2"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df3 = df_sp500.Close.copy().rename(columns={'^GSPC': 'GSPC'})\n",
    "df3['Year'] = df3.index.year\n",
    "df3['Week'] = df3.index.isocalendar().week\n",
    "df3.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "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>Year</th>\n",
       "      <th>Week</th>\n",
       "      <th>GSPC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>3246.350098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2020</td>\n",
       "      <td>2</td>\n",
       "      <td>3255.312012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2020</td>\n",
       "      <td>3</td>\n",
       "      <td>3301.400000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Year  Week         GSPC\n",
       "0  2020     1  3246.350098\n",
       "1  2020     2  3255.312012\n",
       "2  2020     3  3301.400000"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df3_weekly = df3.groupby(['Year', 'Week'])['GSPC'].mean().reset_index()\n",
    "df3_weekly.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "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>Year</th>\n",
       "      <th>2020</th>\n",
       "      <th>2021</th>\n",
       "      <th>2022</th>\n",
       "      <th>2023</th>\n",
       "      <th>2024</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Week</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3246.350098</td>\n",
       "      <td>3760.823975</td>\n",
       "      <td>4732.751953</td>\n",
       "      <td>3845.072510</td>\n",
       "      <td>4948.100098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3255.312012</td>\n",
       "      <td>3794.886035</td>\n",
       "      <td>4686.317969</td>\n",
       "      <td>3952.642041</td>\n",
       "      <td>4773.512109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3301.400000</td>\n",
       "      <td>3836.325012</td>\n",
       "      <td>4497.634888</td>\n",
       "      <td>3947.822571</td>\n",
       "      <td>4781.484985</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Year         2020         2021         2022         2023         2024\n",
       "Week                                                                 \n",
       "1     3246.350098  3760.823975  4732.751953  3845.072510  4948.100098\n",
       "2     3255.312012  3794.886035  4686.317969  3952.642041  4773.512109\n",
       "3     3301.400000  3836.325012  4497.634888  3947.822571  4781.484985"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df3_weekly_yoy = df3_weekly.pivot(index='Week', columns='Year', values='GSPC')\n",
    "df3_weekly_yoy.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "for year in df3_weekly_yoy.columns:\n",
    "    plt.plot(df3_weekly_yoy.index, df3_weekly_yoy[year], label=year)\n",
    "plt.legend()\n",
    "plt.title('YoY Trend of SP500 Index')\n",
    "plt.xlabel('Month of Year')\n",
    "plt.ylabel('SP500 Index')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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axMTEyNtvv+3x/AoVKkh8fLxzW7hwoTk/b1iKiopyO698+fIldEf2b46b8MVvvi4GAADFyjZhKTMzU9asWSOdOnVyHgsNDTX7y5YtK9A13nrrLendu7eULl3a7fh3330nVapUkfr168vQoUPlyJEjXq+TkZEhKSkpbluwmv79DvovAQACmm3C0uHDhyUnJ0eqVq3qdlz3ExMTz/p87dukzXB33333GU1w7733nixatEgmTZokS5YskW7dupnXys/EiRMlLi7OudWoUUOCGf2XAACBzDZh6XxprVLjxo2lVatWbse1punGG280j/Xo0UPmzZsnq1atMrVN+Rk7dqwkJyc7t927d0uwo/8SACBQ2SYsVapUyXTOPnDggNtx3dd+Rt6kpaXJrFmzZODAgWd9nTp16pjX2rYt/6Yl7eMUGxvrtgU7+i8BAAKVbcJSZGSktGjRwjSXOeTm5pr9tm3ben3uxx9/bPoZ9e3b96yvs2fPHtNnqVq1akVS7mDrv0RgAgAEGtuEJaXTBkyfPl1mzJghmzZtMp2xtdZIR8epfv36mSYyT01w2sRWsWJFt+Opqany8MMPy/Lly2Xnzp0meN10001Sr149MyUBCo8O3wCAQBMuNtKrVy85dOiQjBs3znTqbtasmcyfP9/Z6XvXrl1mhJyrLVu2yA8//CALFiw443rarLdhwwYTvpKSkiQhIUE6d+4sTz/9tGlqw7l3+O52aTWpVcl91CEAAHYUYlmW5etC2J1OHaCj4rSzd1H1X0rPzJZG474Wu2paPU4+u6+9r4sBAPADlmWJpg0NHLnO7099PfX46X3Lcf5fx1XZqHAJDQ3x2ee3rWqWYL8O3//s3sjXRQGAoKNhI9c6/dURUPSr+V7PyT297zjXEWbMc3Ldn5Obz/WcX51ByHHszNBzri6rWU6iQsPEVwhLKNb+SxVKR8rQq+v5uigAioGjYcJZO+DhsbzH3Z9fnKVzvHb+L5Lf65++n9P35zjV7cPfS22I+c553MN5f13wdC1L3mDhCCennpub63INxzGX8OI43wScEnpvgwlhCcWK/kuAd65/qXv6a931A9HKpwbAyuevfLe/8MX9nLN9ULsHhNOPO/aBYEJYQrEb8t/VMn9EB18XA0FY2+Hpr32vQcHlr3fXZgVxCRz5hRO3MPNXTUB+TRSOGoBTNQIA/B1hCcVu84FUufOtFTJjYGtfF8Wv6IdltvnAtCQn15Ic/RDVr399iHqqcXD9wHd8AEue2oBT37kedxzz/Mlc1LUEea/n+rpnPOahuePUvuPxM+/R8b1rU0NR9YsAAE8ISygRS7Yelme/+E0eDeAO39k5uZKZkytZ2dapr85NQ1GuZJuvljlPv/LBDgD2QFhCiXnj+x1y1cWVpf1FlcWONOSczM6Vk1k5ZsvIzpWMrFMBKTM719QIAQACD2EJJarvWyvlhVuayK0ta4i/0uBzIjNH0rOyJT0zx3yv4UhriAAAwYewhBL38Ccb5PJaFfxihFxGdo6kZeiWLakZGo6yJTObUAQAOI2whKAaIaeh6PhJ3bIk5aQGo9wSLwMAwF4ISwjoEXLafJZ8IstsKSeyaEoDABQaYQkBNUJOh5BrjdGxtEw5lp4pJ7OoOQIAnB/CEnw+Qu6O1jXPq/+SBiStOTqcmilJ6ZnUHgEAilRo0V4OKLzhs34+p+dpv6Mdh9NkzZ/HZNP+43LoeAZBCQBQ5AhL8Ln1e5Jlwhe/FehcneRxX9IJWbc7SX7dmyKJyScJSACAYkUzHPzC9O93mK//zKf/kg7rT0w+IUdSM1lPCwBQoghL8KvAVKF0pAy9up6zL9LRtEzZn3zSDPcHAMAXCEvwK5Pmb5Gul8RL6ahw2Zt0gtFsAACfo88S/M59H/4s2w+lEZQAAH6BsAS/s3FfivyyJ9nXxQAAwCAswS89+9UmWfL7QV8XAwAAwhL817Qlf1DDBADwOcIS/Bo1TAAAXyMswRY1TDr5JAAAvkBYgi3ogrsAAPgCYQm2cCgtU15fst3XxQAABCHCEmzju98PyczlO31dDABAkCEswVbm/ZJIYAIAlCjCEmwZmOau2+vrYgAAggRhCbb04ardjJADAJQIwhJsixFyAICSQFiCbTFCDgBQEghLsP0IOfovAQCKE2EJAdF/iTXkAADFhbCEgMAacgCA4mK7sDR16lSpVauWREdHS+vWrWXlypX5nvvuu+9KSEiI26bPc2VZlowbN06qVasmpUqVkk6dOsnWrVtL4E5Q1FhDDgAgwR6WPvroIxk5cqSMHz9e1q5dK02bNpUuXbrIwYP51yjExsbK/v37nduff/7p9vjzzz8vU6ZMkWnTpsmKFSukdOnS5ponT/Kha0dvLKXDNwAgiMPS5MmTZdCgQTJgwABp1KiRCTgxMTHy9ttv5/scrU2Kj493blWrVnWrVXr55Zflsccek5tuukmaNGki7733nuzbt0/mzJlTQneForQp8Tj9lwAAwRmWMjMzZc2aNaaZzCE0NNTsL1u2LN/npaamSs2aNaVGjRomEG3cuNH52I4dOyQxMdHtmnFxcaZ5z9s14d/ovwQACMqwdPjwYcnJyXGrGVK6r4HHk/r165tap88++0zef/99yc3NlXbt2smePXvM447nFeaaKiMjQ1JSUtw2+Bf6LwEAgi4snYu2bdtKv379pFmzZtKhQwf59NNPpXLlyvL666+f13UnTpxoaqAcm9Zawf+8upiO+gCAIApLlSpVkrCwMDlw4IDbcd3XvkgFERERIc2bN5dt27aZfcfzCnvNsWPHSnJysnPbvXv3OdwRitv2w2lMWAkACJ6wFBkZKS1atJBFixY5j2mzmu5rDVJBaDPeL7/8YqYJULVr1zahyPWa2qSmo+K8XTMqKsqMsnPd4J9YcBcAEDRhSem0AdOnT5cZM2bIpk2bZOjQoZKWlmZGxyltctNaH4ennnpKFixYIH/88YeZaqBv375m6oC7777bOVLuwQcflGeeeUbmzp1rgpReIyEhQXr06OGz+0TRojkOAHA+wsVGevXqJYcOHTKTSGoHbO2LNH/+fGcH7V27dpkRcg7Hjh0zUw3oueXLlzc1Uz/99JOZdsBh9OjRJnANHjxYkpKSpH379uaaeSevhL2b42Yu3yl92tTydVEAADYUYulkQzgv2nSnHb21/1JRNcmlZ2ZLo3FfF8m1cMrtl9eQG5td4OtiAAAK6bKa5SQqPEx89fltq2Y44Hyw4C4A4FwQlhBUmLASAFBYhCUEHSasBAAUBmEJQYkRcgCAgiIsIahHyAEAcDaEJQSteb8kMsM3AOCsCEsIaszwDQA4G8ISgt7khVt8XQQAgB8jLCHo7T52Qp77apOviwEA8FOEJUBE1u9JlpnL//R1MQAAfoiwBPxl3i/7meEbAHAGwhLgghm+AQB5EZYADzN8U8MEAHAgLAEeUMMEAHAgLAH5YA05AIAiLAFePPvFb74uAgDAxwhLgBeH0jLlJSatBICgRlgCzmLlzmNMWgkAQYywBBRw0srXl2z3dTEAAD5AWAIK6LvfD8nM5Tt9XQwAQAkjLAGFMO+XRJm7bq+viwEAKEGEJaCQPly1m0krASCIEJaAc8CklQAQPAhLwDli0koACA6EJeA8TGYOJgAIeIQl4DzsPnaCOZgAIMARloDzxBxMABDYCEtAEWAOJgAIXIQloAjnYCIwAUDgISwBRYjABACBh7AEFDECEwAEFsISUAxYFgUAAgdhCSgmLIsCAIGBsAQUI5ZFAQD7IywBJbAsCjVMAGBftgtLU6dOlVq1akl0dLS0bt1aVq5cme+506dPlyuvvFLKly9vtk6dOp1xfv/+/SUkJMRt69q1awncCYIJNUwAYF+2CksfffSRjBw5UsaPHy9r166Vpk2bSpcuXeTgQc8fQt99953cfvvt8u2338qyZcukRo0a0rlzZ9m7173jrYaj/fv3O7cPP/ywhO4IwYSFdwHAnmwVliZPniyDBg2SAQMGSKNGjWTatGkSExMjb7/9tsfzZ86cKffee680a9ZMGjRoIG+++abk5ubKokWL3M6LioqS+Ph456a1UEBxeHXxVl8XAQAQqGEpMzNT1qxZY5rSHEJDQ82+1hoVRHp6umRlZUmFChXOqIGqUqWK1K9fX4YOHSpHjhwp8vIDavvhNOZgAgCbCRebOHz4sOTk5EjVqlXdjuv+5s2bC3SNRx55RBISEtwClzbB/f3vf5fatWvL9u3b5dFHH5Vu3bqZABYWFubxOhkZGWZzSElJOef7QnDOwVQ2OkJubHaBr4sCAAiksHS+nnvuOZk1a5apRdLO4Q69e/d2ft+4cWNp0qSJ1K1b15zXsWNHj9eaOHGiPPnkkyVSbgTuHEy1K5WRxtXjfF0UAECgNMNVqlTJ1PQcOHDA7bjuaz8jb1588UUTlhYsWGDCkDd16tQxr7Vt27Z8zxk7dqwkJyc7t927dxfybgBGyAGAXdgmLEVGRkqLFi3cOmc7Omu3bds23+c9//zz8vTTT8v8+fOlZcuWZ32dPXv2mD5L1apVy/cc7RAeGxvrtgHnghFyAOD/bBOWlE4boHMnzZgxQzZt2mQ6Y6elpZnRcapfv36m1sdh0qRJ8vjjj5vRcjo3U2JiotlSU1PN4/r14YcfluXLl8vOnTtN8LrpppukXr16ZkoCoCQwQg4A/Jut+iz16tVLDh06JOPGjTOhR6cE0BojR6fvXbt2mRFyDq+99poZRXfLLbe4XUfnaXriiSdMs96GDRtM+EpKSjKdv3UeJq2J0tojoCRHyPVpU8vXRQEAeBBiWZbl6QEUnI6Gi4uLM/2XiqpJLj0zWxqN+7pIrgV7uP3yGoyQAwAPLqtZTqLCPY9QL4nPb1s1wwGBPkKONeQAwP8QlgA/wgg5APA/hCXAzzBCDgD8C2EJ8EPPfvGbr4sAAPgLYQnwQ4fSMuWlhVt8XQwAAGEJ8F8rdx6T577a5OtiAEDQIywBfmz9nmR5fcl2XxcDAIKarSalBILRd78fkjJRYUxaCaBY7U8+IfM27Jd1u49JyoksyckV0YkYQ0QkLDRE4kpFSNMa5eT6JtWkWlwpCSaEJcAG5v2SaL4SmAAUNvgkp2dJznlMP22JSHauJUfSMmXx5oNmU+FBFKAIS4BNEJgAeAtH/1u9W9btOiYns0tmYY7sPAFKa8Bb1a4YkMGJsATYLDCVjY5gWRQAsmFPksxcsUv2Hks/r5qjopKakeMMThVLR8rgq+pIk+rlJBAQlgAbLotSu1IZaVw9ztdFAeCD2qMNu5MkPStX/NmRtEyZ+NVmiQoPlSvqVbJ9bRNhCbDpsihDOtSRDhdX8XVRAJRAQFq986hk+3c+8igjOzcgapsIS4CNl0WpXzVW4uOifV0UAAHcvFZU7FzbRFgCbL4sypQ7LvN1MQCcZVTa5sQUCZEQqR9f1i0k5B2ub8fao/OpbYoMC5UWNcvJrS1r+HVwIiwBAbAsyohr6/u6KIAEe03Q/uR0yc45NdQ+P3uTTjiH3kMkMydXlv1x1GyhISLlYyL9cioCwhIQIMuijOnW0NdFAYKCnTpa20mudaqpzlHrVLdyaRl2TT2/CE2EJSBAlkWhhgko/hqk/3y3TZJPZPu6KEFh+6E0Gfm/9Wbyy4uqlJFHuzeUKy+q7JOysDYcEEA1TMNn/Wz+6gVQdPS/qREfrTOdkwlKJU8nv9yUeFz+8dZKGfr+ah+UgLAEBJSDxzPMX2JLfqdPBFAUIenJzzea/6YSU076ujgQka9+PWAGtpQ0whIQoNMKJCbzyx04V+8v32lC0ubE474uCvJ44/sdsvNwmpQkwhIQoB6dvYEmOaCQ9L+Z+z9YK1/8tRYj/NNHq3eX6OvRwRsIUCeycs1fxsz0DRQsJL2x9A9qkmxiz7GS/UOQsAQEQZNchZgo1pID8vHZur0ya1XJ1lTg3Ol8TNXLl+x0AjTDAUGylpx+IABwr0365+xfCEo21KtljRJ9PWqWgCChHwipJ7OkT5tavi4K4HPUJtmzRklN6tlEalUqLSWJsAQEkXm/JEpqRrbc06Ger4sC+GxiyVcWb5XUjBxfFwWFdFf72tK3dc0SD0qKsAQEme9+Pyy/7T8uY7o18ItlBICSCklTFm2VtExCkl2NvPZiiYn0TWwhLAFBPHll78tryE3NLvB1cYBiQ0hCiYalP/74Q2rXri0hIX81GgKwPfoxIZA7b0/8apMcOp7p66IgABR4NNxFF10khw4dcu736tVLDhw4UFzlAlCC/ZheX7LN18UAinz2bYISSjwsWZbltv/ll19KWlrJTjcOoPj6MQ2csco0WQB2rUn696Lfpc/05cy+jSJHnyUARnpmjllVvUn1WBnbrZGviwMUGNMAwG9qlrSvUt7+SvRfAgLPhj0pMmzmGtaVg9/Tf6OjP1lPUIL/1CxpM1z//v0lKirK7J88eVKGDBkipUu7z3fw6aefFn0pAZSoo+lZjJaDX4ekV7/dJn8coisI/Cws9evXz60mqW/fvsVVJgB+Qv9iT0w+wSSW8Assdgu/D0vvvvuu+IOpU6fKCy+8IImJidK0aVN55ZVXpFWrVvme//HHH8vjjz8uO3fuNCP6Jk2aJNddd51bjdn48eNl+vTpkpSUJFdccYW89tpr5lwApzp/JyaflPE3XurroiBI6cCD15f+IUfTGN0GP++zlJOTIxs2bJATJ87sx5Cenm4ey83NleL00UcfyciRI024Wbt2rQlLXbp0kYMHD3o8/6effpLbb79dBg4cKD///LP06NHDbL/++qvznOeff16mTJki06ZNkxUrVphmRb2mNjMCOGXzgVT6McEnIenuGavMwAOCEnwpxMo7J4CXmqVXX33VBIqwsDC3x7Kzs6VNmzby4IMPFmvzXOvWreXyyy835VAazmrUqCH333+/jBkz5ozzdS4ond5g3rx5zmNazmbNmplwpLeekJAgo0aNkoceesg8npycLFWrVjX327t37wKVKyUlReLi4mT/oSMSGxtbJPeanpktLZ9ZVCTXAorSLZdVl+5Nqvm6GAhgiSkn5cWvt8gRAhJcrH6sY5Evd6Kf39UqVzSf/d4+vwv8qm+99ZYJFHmDkrlIeLiMHj3ahJjiCkuZmZmyZs0aGTt2rPNYaGiodOrUSZYtW+bxOXpca6Jcaa3RnDlzzPc7duwwzXl6DQcNPRrK9Ln5haWMjAyzub7ZqtWERRIaFXOedwr4t0/W7jEbAJSk4qhAyM1IL9pmuC1btphamfxojc+mTZukuBw+fNg0BWqtjyvd18DjiR73dr7ja2GuqSZOnGhClWPT2i0AABCYClyzpM1ZjhoUT44fP276LgUDrd1yrbHS90UD08p/diyyZjiHvcdOyJ5j9BNB8fril/3yyRpqi2BvpSJCZdg19eSShDhfFwVFrNmFcRIVfmbLVpE0w71chGFJR4dph+kmTZp4fPyHH34o1hFklSpVMk2Aedej0/34+HiPz9Hj3s53fNVj1aqd7oOh+9qvKT8615RjvilX2pZa1O2ppSLDJDqi6P+BAK56XlZdrqhbSZ76fKMcO5Hl6+IAhXZ9k3jp05oFoQNVTGR4sYSl7AJ+Zhe4Ge6OO+6Qxx57zIx6y2v9+vUybtw4c05xiYyMlBYtWsiiRafbLLWDt+63bdvW43P0uOv5auHChc7za9eubQKT6zmaMrUTe37XBAJVfFy0/KdvC2lQtYyviwIUWMNqZeWl25oRlFCsClwNMmLECPnqq69MYNEO0Q0aNDDHN2/eLN988420a9fOnFOctOnrzjvvlJYtW5q5lV5++WXTPDhgwADnxJkXXHCB6VOkhg8fLh06dJB//etf0r17d5k1a5asXr1a3njjDfO4TrKpI/ieeeYZUyum4UnnZNIRcjrFABCMdD6l15dsl+9+P+TrogAelYkKk9a1K8r1TRJMyAf8JixFRETIggUL5KWXXpIPPvhAli5daobeX3zxxTJhwgQTlLQT+KWXFt/EdToVwKFDh0wtlnbA1qay+fPnOzto79q1y4yQc9AAp2XVGrFHH33UBCIdCedaRh3Fp4Fr8ODBZlLK9u3bm2tGR/MfIILXPR3qSrW4aPmQNbfgRyqXjZJHuzUkIMF/51nKjzZbaY2NTi2gtTY6Yi3YOOZZOts8Dediz7F02X2UDt7wDZ25m35M8LXSUWEy/G8XS+PqdNwOVpfVLFdsHbwL8vld4D5LeWnNkjaJaZPViy++KNdcc40sX778XC8HwA/Rjwm+FB0RamqS3ux3OUEJPlWooVva9KUzW2stkqax2267zUzOqE1bjRo1Kr5SAvAp+jGhpDWpHidjuzX0dTGAwtUs3XDDDVK/fn0zGk47Vu/bt88sYgsgePox3X45E7Ci+JvctDaJoARb1izpSLgHHnhAhg4dWqzzKcFdWGiIr4sAON3Y7AJpVbuivLp4q2w/nObr4iCAxESGyYMd6ZcEm9cs6aSTOku3Th2ga6fpOnC6BAmKV3F0aAPOtx/TMzc3ppYJRTqh5Ft30i8JARCWdF246dOny/79++Wee+4xI+C0c7dODKkTPWqQQtGLCj/nPvhAsdcy6WSADePL+roosCkmlERQTB2g8yppZ+///ve/Zo6ia6+9VubOnSvBpjinDsjOyZVVO48V6TWB4phi4NkvfpNDaZm+LgpsEpIGX1mX+ZIQ+FMHKO3w/fzzz8uePXvkww8/PJ9LIR/hYaESHka/Jfg3/dCbcsdlcn3j02ssAnnVrVza1CSNu/4SghKCa1JKFG/NktqwJ0nSMoJvsk/Yt5bpjaXbZVMiTfM4HZLuu+YiAhJsW7NUqHmW4Bv6D4SwBLvQD8RxN1xiQtPnG/bJD1sPSWYOf5MFI0ISAgVhyQbo5A070g/IQVfWMdsve5Jl2tLtcpQ+TQGPRW4RiAhLNhAVQViCvemQ8Kl3XOasbVq3+5gcS8sS6psCB7VICGSEJRtgriUEWm2Tg4anj1bvMv3yTmTmEp5shlokBAvCkg3QDIdApR+wwzte7Nx3rXlKOZEl2bk+LR7yUblslFmShICEYEFYsgHCEoK15slTgMrJFWqgfLhu2/C/sSQJgg9hyUZzLWUzoghByFOAytuEl55JFVRxYt02BDvCkk1Eh4dJak62r4sB+G0Tno64e3/Fn7I/OV2ymGmjSNdtYzkSBDvCkk2UigyV1AxflwLwX1rrMal6E7fw9M5PO2R/8kmflsuuWJIEOI2wZBPREYyIAwobnibf1syt1mnvsXShNds7QhJwJsKSTZQiLAFFUuvEXE9nCgsNkVa1KshtLWsQkgAPCEs2USqSsAQUR4fxYG2uCw0RqVE+Rvq0rknHbeAsCEs2qlnSX265/BkMFKlgaq6LDAuVanHRBCSgkAhLNhESEmJql1hQFyj55rqk9Cxb/qGizWtVY6Okf9vahCPgPBCWbCQmMpywBPhwaRYNTyv+OCJpmf733yHBCCg+hCUbKRMVLoeOM38A4MvwpJuvZhUPEZEImtKAEkdYstlSAwD8d1bxwnANXMdPZktoSIjExxKCAH9EWLKR0pHhEhIiYtmw7wSAog9cAEoGK7TaSGhoiAlMAACg5BCWbKZMNGEJAICSRFiyYSdvAABQcghLNhNbirAEAEBJIizZTFR4mERF8GMDAKCk8KlrQ7HREb4uAgAAQYOwZENxpQhLAACUFMKSDdFvCQCAkmObsHT06FHp06ePxMbGSrly5WTgwIGSmprq9fz7779f6tevL6VKlZILL7xQHnjgAUlOTj5jgdq826xZs8Tf+y3FRDKbNwAAJcE2VRQalPbv3y8LFy6UrKwsGTBggAwePFg++OADj+fv27fPbC+++KI0atRI/vzzTxkyZIg59sknn7id+84770jXrl2d+xrG/F25mAhJ98PFPAEACDQhluX/i2ds2rTJBJ5Vq1ZJy5YtzbH58+fLddddJ3v27JGEhIQCXefjjz+Wvn37SlpamoSHn8qJWpM0e/Zs6dGjxzmXLyUlReLi4kytldZ8lYTkE1ny276UEnktAAB86bKa5UyrSlEr6Oe3LZrhli1bZmp7HEFJderUSUJDQ2XFihUFvo7jzXAEJYdhw4ZJpUqVpFWrVvL222/L2fJjRkaGeYNdt5IWGx0u4WG6BjkAAJBgb4ZLTEyUKlWquB3TwFOhQgXzWEEcPnxYnn76adN05+qpp56Sv/3tbxITEyMLFiyQe++91/SF0v5N+Zk4caI8+eST4ktaI1auVIQcTs30aTkAAAh0Pq1ZGjNmjMcO1q7b5s2bz/t1tOane/fupinviSeecHvs8ccflyuuuEKaN28ujzzyiIwePVpeeOEFr9cbO3asqaVybLt37xZfKF860ievCwBAMPFpzdKoUaOkf//+Xs+pU6eOxMfHy8GDB92OZ2dnmxFv+pg3x48fN523y5Yta/omRUR4n6OodevWpgZKm9qioqI8nqPH83usJJWPiZTQEJFcv+91BgCAffk0LFWuXNlsZ9O2bVtJSkqSNWvWSIsWLcyxxYsXS25urgk33mqUunTpYoLN3LlzJTo6+qyvtW7dOilfvrxfhKGzCQsNkXIxkXI0jaY4AACCus9Sw4YNTe3QoEGDZNq0aWbqgPvuu0969+7tHAm3d+9e6dixo7z33numo7YGpc6dO0t6erq8//77bh2xNaCFhYXJ559/LgcOHJA2bdqYIKXTEjz77LPy0EMPiV1UKE1YAgBAgj0sqZkzZ5qApIFIR8H17NlTpkyZ4nxcA9SWLVtMOFJr1651jpSrV6+e27V27NghtWrVMk1yU6dOlREjRpgRcHre5MmTTSizU1iiKQ4AgCCfZ8nf+WKeJVdbDxxnVBwAIGBdxjxLOF+Vyvh//yoAAOyKsBQAdOmTyHAmqAQAoDgQlgKAzkdF7RIAAMWDsBQgqpQ9+7QIAACg8AhLAaJUZJjElrLN4EYAAGyDsBRAqsZSuwQAQFEjLAWQiqUjJTKcHykAAEWJT9YA6+hdNZaO3gAAFCXCUgA2xemM3gAAoGgQlgJMRFioVC5L7RIAAEWFsBSAEsqVkhBqlwAAKBKEpQAUHRFmFtgFAADnj7AUoC4oV8rXRQAAICAQlgJU6ahwapcAACgChKUAVr08tUsAAJwvwlKA1y5VLEPtEgAA54OwFOBqlI9hZBwAAOeBsBQEC+xWYd4lAADOGWEpCFQvHyNhTOsNAMA5ISwFAV1cN6FctK+LAQCALRGWgkRCXCmJiuDHDQBAYfHpGSRCQ0OkVsXSvi4GAAC2Q1gKIjpJZbmYCF8XAwAAWyEsBZnalUoLfb0BACg4wlIQLrJbvUKMr4sBAIBtEJaCUEJctJSOCvN1MQAAsAXCUhAKCQmRupXLMLM3AAAFQFgK4nXjLijHQrsAAJwNYSmIVS9fSspGh/u6GAAA+DXCUpA3x9WrUoalUAAA8IKwFOR0dFytSoyOAwAgP4QlSJWy0VK5bKSviwEAgF8iLMGoXamMlIpkOgEAAPIiLMHQfkv1q5al/xIAAHkQluCkNUt1K7PYLgAAtgxLR48elT59+khsbKyUK1dOBg4cKKmpqV6fc/XVV5sRX67bkCFD3M7ZtWuXdO/eXWJiYqRKlSry8MMPS3Z2tgSrimWizJQCAADgFNtMsqNBaf/+/bJw4ULJysqSAQMGyODBg+WDDz7w+rxBgwbJU0895dzXUOSQk5NjglJ8fLz89NNP5vr9+vWTiIgIefbZZyVY1agQIyeycuRIaqaviwIAgM/ZomZp06ZNMn/+fHnzzTeldevW0r59e3nllVdk1qxZsm/fPq/P1XCkYcixac2Uw4IFC+S3336T999/X5o1aybdunWTp59+WqZOnSqZmcEdFOpVLsOElQAA2CUsLVu2zDS9tWzZ0nmsU6dOEhoaKitWrPD63JkzZ0qlSpXk0ksvlbFjx0p6errbdRs3bixVq1Z1HuvSpYukpKTIxo0b871mRkaGOcd1CzSh2uE7vqxER9jinwgAAMXGFlUHiYmJpj+Rq/DwcKlQoYJ5LD933HGH1KxZUxISEmTDhg3yyCOPyJYtW+TTTz91Xtc1KCnHvrfrTpw4UZ588kkJdBFhodKwWqxs3JcsmdmWr4sDAIBP+LTaYMyYMWd0wM67bd68+Zyvr32atKZIa4+0z9N7770ns2fPlu3bt59XubWGKjk52bnt3r1bAnmG7wbxsRIexpQCAIDg5NOapVGjRkn//v29nlOnTh3T1+jgwYNux3XEmo6Q08cKSvs7qW3btkndunXNc1euXOl2zoEDB8xXb9eNiooyW7AoHRUuDeLLyubE45KdQw0TACC4+DQsVa5c2Wxn07ZtW0lKSpI1a9ZIixYtzLHFixdLbm6uMwAVxLp168zXatWqOa87YcIEE8QczXw62k47gTdq1Ogc7yowlY2OIDABAIKSLXrvNmzYULp27WqmAdCaoB9//FHuu+8+6d27t+mPpPbu3SsNGjRw1hRpU5uObNOAtXPnTpk7d66ZFuCqq66SJk2amHM6d+5sQtE//vEPWb9+vXz99dfy2GOPybBhw4Kq5qiwgYkmOQBAMLFFWHKMatMw1LFjR7nuuuvM9AFvvPGG83Gde0k7bztGu0VGRso333xjApE+T5v8evbsKZ9//rnzOWFhYTJv3jzzVWuZ+vbtawKV67xMODMwNaoWK5HhBCYAQHAIsSyLNpXzpFMHxMXFmc7ervM4BbKTWTny2/4UycjK9XVRAAAB7rKa5SQqPMxnn9+2qVmC/42SuzQhTspE2WL2CQAAzhlhCecsMjxUGiXESvnSEb4uCgAAxYawhPMSpjN9Vy0rCeWifV0UAACKBWEJ500nD61ZsbTUq1LGhCcAAAIJYQlFpnLZKLkkIZb15AAAAYVPNRT5bN+NL4iTSmUifV0UAACKBGEJRS48LFQuqlpW6lYuTbMcAMD2CEsoNlVio6VJ9TgpG830AgAA+yIsodjnY9J+TDUrxgiVTAAAOyIsoURGyyWUKyVNa5STuFLMyQQAsBfCEkq0lkknsdQpBlhbDgBgF3QmgU+mGCgfEyF7jp2QxJSTwuqEAAB/Rs0SfDZirlal0tKsRjmpUJppBgAA/ouaJfi8aa5+fFk5fjJLdh89IcknsnxdJAAA3BCW4BfKRkdIo4QIE5b2HEuXlBPZvi4SAAAGYQl+RUfLxZWKk5STWbIv6YQcS6OmCQDgW4Ql+KXY6AiJjY+Q9Mxs2Z98Ug4fz5BcOoIDAHyAsAS/FhMZLnUrl5ELK8TIgZSTcvB4hmRk5fq6WACAIEJYgi1EhIVK9fIxckG5UpKUnmVC07H0TKYdAAAUO8ISbDcbePnSkWbLysmVI6mZcjg1Q46fpEM4AKB4EJZg69qm+Lhos53MypEjaZlyLC2T4AQAKFKEJQTMfE3aRKdbRnaOaarTZjqdgiCHnuEAgPNAWELAiQoPk6qxukVLbq4lxzOyJeVElpnDKTUjm35OAIBCISwhoIWGhvw1d1OE1BAxtUypJ7PNPE7aXJeWmS3ZOaQnAED+CEsIKmEanmIizOZwIjPH1Dil6ZaZLemZOQQoAIATYQlBr1RkmNkql41yHtN+TxqiNDidyDr1vR7LzCZEAUCwISwB+fR70q1cjPvx7JxcycjONaPv9KtumY4thzAFAIGIsAQUQnhYqNlKR3n+T8eyLMnMyZWsHEuysvVrrmTlWiZk6THtM6XH9GuOdWpfNzqdA4D/IiwBRTxp5qlaKa2eKvjzcl3CU66lm5ivVu6pr+Z7PU9T1an/nTr2V8iy/gpqeUOX6/6pK5ypqINa3stpufI+dvrQqW9c78Oxb+V9LJ9jp5536t6d74Pb67g+dvpxAiqAgiIsAX4yai9UQiQizNclCS4aUl0DlmsAdXzvCKoaXPU7DbJ6vuOr43km4P41p5db4HX73v1r3mu5ngfAfxCWAAR1SD3F8dU/OGoJ3UPX6bDm3M8buP6qRcsbzBzPdQt/f9W6nXq+S+2cy/eny+Neq3e65u6vY25ld36X55483KcUP2/B01Ot59meg+BEWAIAP2zODQkRU9sI33GGwTwB0dmk6xIq3QJnnvMkn8dcm9U9Pt8lvLrWZJ4O03899letZ341l+a1TBO/795LuyMsAQCQT2g99dXtqNjZqdDk3ux8Rg2my/4Z5+S611C6NjWfPq8QNZo26UNIWAIAIMj6R/ojy8p/oEZEmG/LTFgCAAB+0/x8in8FulCxiaNHj0qfPn0kNjZWypUrJwMHDpTU1NR8z9+5c+dfb/yZ28cff+w8z9Pjs2bNKqG7AgAA/s42NUsalPbv3y8LFy6UrKwsGTBggAwePFg++OADj+fXqFHDnO/qjTfekBdeeEG6devmdvydd96Rrl27Ovc1jAEAANgmLG3atEnmz58vq1atkpYtW5pjr7zyilx33XXy4osvSkJCwhnPCQsLk/j4eLdjs2fPlttuu03KlCnjdlzDUd5zAQAAbNMMt2zZMhNoHEFJderUSUJDQ2XFihUFusaaNWtk3bp1pvkur2HDhkmlSpWkVatW8vbbb7vNvQEAAIKbLWqWEhMTpUqVKm7HwsPDpUKFCuaxgnjrrbekYcOG0q5dO7fjTz31lPztb3+TmJgYWbBggdx7772mL9QDDzyQ77UyMjLM5pCSklLoewIAAPbg05qlMWPG5NsJ27Ft3rz5vF/nxIkTpm+Tp1qlxx9/XK644gpp3ry5PPLIIzJ69GjTr8mbiRMnSlxcnHPT/lEAACAw+bRmadSoUdK/f3+v59SpU8f0Jzp48KDb8ezsbDNCriB9jT755BNJT0+Xfv36nfXc1q1by9NPP21qjqKiPK+EOnbsWBk5cqRbzRKBCQCAwOTTsFS5cmWznU3btm0lKSnJ9Dtq0aKFObZ48WLJzc014aYgTXA33nhjgV5L+zWVL18+36Ck9DFvjwMAgMBhiz5L2tdIh/YPGjRIpk2bZqYOuO+++6R3797OkXB79+6Vjh07ynvvvWc6ajts27ZNli5dKl9++eUZ1/3888/lwIED0qZNG4mOjjbTEjz77LPy0EMPlej9AQAA/2WLsKRmzpxpApIGIh0F17NnT5kyZYrzcQ1QW7ZsMc1trnR0W/Xq1aVz585nXDMiIkKmTp0qI0aMMCPg6tWrJ5MnTzahDAAAQIVYjJM/b9pnSTt6JycnmxnGAQBA4Hx+22KeJQAAAF8hLAEAAHhBWAIAAPCCsAQAAOAFYQkAAMALwhIAAIAXhCUAAAAvCEsAAABeEJYAAAC8ICwBAAB4QVgCAADwgrAEAADgBWEJAADAC8ISAACAF4QlAAAALwhLAAAAXhCWAAAAvCAsAQAAeEFYAgAA8IKwBAAA4AVhCQAAwAvCEgAAgBeEJQAAAC8ISwAAAF4QlgAAALwgLAEAAHhBWAIAAPCCsAQAAOAFYQkAAMALwhIAAIAXhCUAAAAvCEsAAABeEJYAAAC8ICwBAAB4QVgCAAAIhLA0YcIEadeuncTExEi5cuUK9BzLsmTcuHFSrVo1KVWqlHTq1Em2bt3qds7Ro0elT58+Ehsba647cOBASU1NLaa7AAAAdmObsJSZmSm33nqrDB06tMDPef7552XKlCkybdo0WbFihZQuXVq6dOkiJ0+edJ6jQWnjxo2ycOFCmTdvnixdulQGDx5cTHcBAADsJsTS6hcbeffdd+XBBx+UpKQkr+fpbSUkJMioUaPkoYceMseSk5OlatWq5hq9e/eWTZs2SaNGjWTVqlXSsmVLc878+fPluuuukz179pjnF0RKSorExcWZ62sNFQAA8H8F/fy2Tc1SYe3YsUMSExNN05uDviGtW7eWZcuWmX39qk1vjqCk9PzQ0FBTEwUAABAuAUqDktKaJFe673hMv1apUsXt8fDwcKlQoYLzHE8yMjLM5qCJ1JFQAQCAPTg+t8/WyObTsDRmzBiZNGmS13O0qaxBgwbiTyZOnChPPvnkGcdr1Kjhk/IAAIBzd/z4cdP65JdhSfsT9e/f3+s5derUOadrx8fHm68HDhwwo+EcdL9Zs2bOcw4ePOj2vOzsbDNCzvF8T8aOHSsjR4507ufm5prnVKxYUUJCQqQoE68GsN27dwddX6hgvfdgvW/FvQffvQfrfQfzvaf42X1rjZIGpbP1UfZpWKpcubLZikPt2rVN4Fm0aJEzHOkPSfsiOUbUtW3b1nQUX7NmjbRo0cIcW7x4sQk/2rcpP1FRUWZzVdDpDM6F/oPyh39UvhCs9x6s96249+C792C972C+91g/um9vNUq26+C9a9cuWbdunfmak5NjvtfNdU4kba6bPXu2+V5reHTU3DPPPCNz586VX375Rfr162fSY48ePcw5DRs2lK5du8qgQYNk5cqV8uOPP8p9991nRsoVdCQcAAAIbLbp4K2TS86YMcO537x5c/P122+/lauvvtp8v2XLFmdnazV69GhJS0sz8yZpDVL79u3N1ADR0dHOc2bOnGkCUseOHc0ouJ49e5q5mQAAAGwVlnRuJN28ydubXWuXnnrqKbPlR0e+ffDBB+KPtKlv/PjxZzT5BYNgvfdgvW/FvQffvQfrfQfzvUfZ9L5tNyklAABASbJNnyUAAABfICwBAAB4QVgCAADwgrAEAADgBWHJj02dOlVq1aplpjrQSTJ1Lig7W7p0qdxwww1mDisdqThnzhy3x3WsgU4RoTOulypVyixqvHXrVrdzdKb0Pn36mMnMdCLQgQMHus215Y90eZzLL79cypYta9Yi1Hm+dJoLVydPnpRhw4aZWeDLlCljprDQ2eZd6Rxj3bt3l5iYGHOdhx9+2Mw4789ee+01adKkiXMCOp0I9quvvgr4+87rueeec879Fuj3/sQTT5h7dd1cl6wK1Pt22Lt3r/Tt29fcn/4ea9y4saxevTqgf8/VqlXrjJ+5bvpzDpifuY6Gg/+ZNWuWFRkZab399tvWxo0brUGDBlnlypWzDhw4YNnVl19+af3zn/+0Pv30Ux2Bac2ePdvt8eeee86Ki4uz5syZY61fv9668cYbrdq1a1snTpxwntO1a1eradOm1vLly63vv//eqlevnnX77bdb/qxLly7WO++8Y/3666/WunXrrOuuu8668MILrdTUVOc5Q4YMsWrUqGEtWrTIWr16tdWmTRurXbt2zsezs7OtSy+91OrUqZP1888/m/eyUqVK1tixYy1/NnfuXOuLL76wfv/9d2vLli3Wo48+akVERJj3IpDv29XKlSutWrVqWU2aNLGGDx/uPB6o9z5+/Hjrkksusfbv3+/cDh06FPD3rY4ePWrVrFnT6t+/v7VixQrrjz/+sL7++mtr27ZtAf177uDBg24/74ULF5rf8d9++23A/MwJS36qVatW1rBhw5z7OTk5VkJCgjVx4kQrEOQNS7m5uVZ8fLz1wgsvOI8lJSVZUVFR1ocffmj2f/vtN/O8VatWOc/56quvrJCQEGvv3r2WXegvFr2PJUuWOO9TA8THH3/sPGfTpk3mnGXLlpl9/eURGhpqJSYmOs957bXXrNjYWCsjI8Oyk/Lly1tvvvlmUNz38ePHrYsuush8eHTo0MEZlgL53jUs6Qe9J4F83+qRRx6x2rdvn+/jwfJ7bvjw4VbdunXN/QbKz5xmOD+UmZlp1qvT6lkHnV1c95ctWyaBaMeOHZKYmOh2z7pejzY/Ou5Zv2qVdMuWLZ3n6Pn63uiaf3bhmGVeJ0RV+rPOyspyu3dttrjwwgvd7l2r86tWreo8p0uXLma9w40bN4od6DJFs2bNMrPqa3NcMNy3Nj1o04LrPapAv3dtVtLmdl0IXZuTtIklGO5bl9bS30+33nqraUrSlSamT58eVL/nMjMz5f3335e77rrLNMUFys+csOSHDh8+bD5YXP/hKN3X/9ACkeO+vN2zftVfQK7Cw8NN6LDL+6KLNGu/lSuuuEIuvfRSc0zLHhkZecZizHnv3dN743jMn+m6jNpPQWfsHTJkiFm/sVGjRgF/3xoM165da/qs5RXI964f/Lragi4tpX3WNCBceeWVZmX3QL5v9ccff5h7vuiii+Trr782i7Y/8MADzqW6guH33Jw5c8zyYv379zf7gfIzt81yJ0Ag0JqGX3/9VX744QdfF6XE1K9f3yx6rTVqn3zyidx5552yZMkSCWS7d++W4cOHy8KFC93WogwG3bp1c36vnfs1PNWsWVP+97//mQ7NgUz/GNIaoWeffdbsa82S/vc+bdo08+8+GLz11lvm30CgLUZPzZIfqlSpkoSFhZ0xWkD34+PjJRA57svbPevXgwcPuj2uoyV05Igd3hddsHnevHlm8efq1as7j2vZtepa/xrzdu+e3hvHY/5M/6qsV6+etGjRwtSyNG3aVP79738H9H1r04P+W73ssstMrYBuGhB1kW79Xv9qDtR7z0trFC6++GLZtm1bQP/MlY5w01pTVw0bNnQ2Qwb677k///xTvvnmG7n77rudxwLlZ05Y8tMPF/1gWbRokdtfLLqvfT0CUe3atc1/FK73rO3V2kbvuGf9qv/B6QeRw+LFi817o3+9+ivtz65BSZuftLx6r670Zx0REeF27zq1gP6Cdb13bc5y/SWqtRY6tDjvL2d/pz+vjIyMgL7vjh07mnJrjZpj0xoH7b/j+D5Q7z0vHfK+fft2EyQC+WeutHk977Qgv//+u6lZC/Tfc+qdd94xTYjaT88hYH7mvu5hjvynDtAREu+++64ZHTF48GAzdYDraAG70ZFBOixUN/2nN3nyZPP9n3/+6RxSq/f42WefWRs2bLBuuukmj0Nqmzdvbobl/vDDD2akkT8PqVVDhw41Q4W/++47t+G16enpznN0aK1OJ7B48WIztLZt27Zmyzu0tnPnzmb6gfnz51uVK1f2q6G1nowZM8aM+tuxY4f5meq+jupZsGBBQN+3J66j4QL53keNGmX+revP/McffzTDwXUYuI4CDeT7dkwTER4ebk2YMMHaunWrNXPmTCsmJsZ6//33necE6u+5nJwc83PVEYF5BcLPnLDkx1555RXzD0znW9KpBHTODTvTOTc0JOXd7rzzTvO4DjN9/PHHrapVq5qg2LFjRzM3j6sjR46YXxplypQxw0oHDBhgQpg/83TPuuncSw76i/Lee+81w+r1l+vNN99sApWrnTt3Wt26dbNKlSplPnz0QykrK8vyZ3fddZeZd0b/DesvP/2ZOoJSIN93QcJSoN57r169rGrVqpmf+QUXXGD2XecZCtT7dvj888/NB7/+DmvQoIH1xhtvuD0eqL/nvv76a/N7Le+9BMrPPET/z9e1WwAAAP6KPksAAABeEJYAAAC8ICwBAAB4QVgCAADwgrAEAADgBWEJAADAC8ISAACAF4QlAAFh586dEhISYpYT8RebN2+WNm3amMV0mzVr5uviADhHhCUARaJ///4mrDz33HNux+fMmWOOB6Px48dL6dKlzVpYrmtj5X3fevToUeJlA1BwhCUARUZrUCZNmiTHjh2TQKErpp8rXUC2ffv2ZiHVihUrFmm5AJQcwhKAItOpUyezqvrEiRPzPeeJJ544o0nq5Zdfllq1ap1R2/Lss89K1apVpVy5cvLUU09Jdna2PPzww1KhQgWpXr26WeXcU9NXu3btTHC79NJLZcmSJW6P//rrr9KtWzcpU6aMufY//vEPOXz4sPPxq6++Wu677z558MEHpVKlStKlSxeP96GrwGuZtBxRUVHmnubPn+98XGvTdOV4PUe/1/s+F5MnT5bGjRubGqoaNWrIvffeK6mpqW7nTJ8+3TwWExMjN998s3mOvmcO69evl2uuuUbKli1rVnLXleBXr159TuUBghFhCUCRCQsLMwHnlVdekT179pzXtRYvXiz79u2TpUuXmg9/bdK6/vrrpXz58rJixQoZMmSI3HPPPWe8joapUaNGyc8//yxt27aVG264QY4cOWIeS0pKkr/97W/SvHlzExY03Bw4cEBuu+02t2vMmDFDIiMj5ccff5Rp06Z5LN+///1v+de//iUvvviibNiwwYSqG2+8UbZu3Woe379/v1xyySWmLPr9Qw89dE7vQ2hoqEyZMkU2btxoyqXvy+jRo52Paxn1vRg+fLjpr3XttdfKhAkT3K7Rp08fE+pWrVplAtyYMWMkIiLinMoDBCVfr+QLIDDceeed1k033WS+b9OmjXXXXXeZ72fPnm1WI3cYP3681bRpU7fnvvTSS1bNmjXdrqX7OTk5zmP169e3rrzySud+dna2Vbp0aevDDz80+zt27DCv89xzzznP0VXLq1evbk2aNMnsP/3001bnzp3dXnv37t1uq6V36NDBat68+VnvNyEhwZowYYLbscsvv9ysru6g96n3W9D3rSA+/vhjq2LFis79Xr16Wd27d3c7p0+fPlZcXJxzv2zZsta7775b4NcA4I6aJQBFTvstaS3Ipk2bzvkaWiujtSoO2mSmzVGutVjaD+jgwYNuz9PaJIfw8HBp2bKlsxzaHPXtt9+aJjjH1qBBA2f/IgdtpvImJSXF1HpdccUVbsd1/3zu2ZNvvvlGOnbsKBdccIFpRtNmQ60pS09PN49r5/FWrVq5PSfv/siRI+Xuu+82zaTaAd/1XgGcHWEJQJG76qqrTLPU2LFjz3hMA5BlaWXOaVlZWWecl7eZSPv9eDqmfYcKSvv6aLOcNle5btp0pmV20P5B/jIdgjY9NmnSRP7v//7PNKFNnTq10B3Ptb+UNuN1797dNOM1atRIZs+eXYwlBwILYQlAsdAajM8//1yWLVvmdrxy5cqSmJjoFpiKcm6k5cuXO7/XDuEaMBo2bGj2L7vsMhMatDN5vXr13LbCBCTtJJ2QkGD6C7nSfQ0iRUXLrmFQ+0bpfE0XX3yxqdFyVb9+fdMXyVXefaXPHTFihCxYsED+/ve/e+wcD8Cz8HyOA8B50SYz7VisnZNd6WizQ4cOyfPPPy+33HKL6WT91VdfmQBSFLTm5aKLLjIB6aWXXjLTGNx1113msWHDhpmRY7fffrvpJK2j6rZt2yazZs2SN9980zTtFZR2JNdO53Xr1jUj4TR8aOibOXNmocucnJx8RmDUJkYNcVrrph3mtUbMU4fz+++/39SKaSd4PUdrjvT9dMxtdeLECVNWfa9r165tOsRrmOrZs2ehywkEK2qWABQbHTaft5lMQ8x//vMfE2qaNm0qK1euPOeRYvnVaOmm1/7hhx9k7ty5ZgoA5agNysnJkc6dO5tAp1ME6DB71/5RBfHAAw+YvkA62k2vo6FPX0uDWmF99913ZoSe6/bkk0+ae9AQpH3AdBoEDWJ5p2XQflIaoPQ8PV/LoTVIOnWC0gCofZz69etnapd05J9OnaDXB1AwIdrLu4DnAgBsYNCgQWa+qe+//97XRQECAs1wAGBzOteTzq+k/a60CU5HImrtHYCiQc0SANicNq1pU97x48elTp06ph+TTlQJoGgQlgAAALyggzcAAIAXhCUAAAAvCEsAAABeEJYAAAC8ICwBAAB4QVgCAADwgrAEAADgBWEJAADAC8ISAACA5O//AXTBJYT0egHfAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot autocorrelation function(ACF)\n",
    "\n",
    "sm.graphics.tsa.plot_acf(df3.GSPC, lags=720)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('ACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot autocorrelation function(ACF)\n",
    "\n",
    "sm.graphics.tsa.plot_acf(df3_weekly.GSPC, lags=120)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('ACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### AAPL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  1 of 1 completed\n"
     ]
    },
    {
     "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>Ticker</th>\n",
       "      <th>AAPL</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>72.716080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>72.009132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>72.582916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-07</th>\n",
       "      <td>72.241562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-08</th>\n",
       "      <td>73.403656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-09</th>\n",
       "      <td>74.962791</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-10</th>\n",
       "      <td>75.132256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-13</th>\n",
       "      <td>76.737411</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-14</th>\n",
       "      <td>75.701210</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-15</th>\n",
       "      <td>75.376793</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker           AAPL\n",
       "Date                 \n",
       "2020-01-02  72.716080\n",
       "2020-01-03  72.009132\n",
       "2020-01-06  72.582916\n",
       "2020-01-07  72.241562\n",
       "2020-01-08  73.403656\n",
       "2020-01-09  74.962791\n",
       "2020-01-10  75.132256\n",
       "2020-01-13  76.737411\n",
       "2020-01-14  75.701210\n",
       "2020-01-15  75.376793"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock_symbol = 'AAPL'\n",
    "start_date = '2020-01-01'\n",
    "end_date = '2024-12-31'\n",
    "\n",
    "# Download historical data\n",
    "df_aapl = yf.download(stock_symbol, start=start_date, end=end_date).Close\n",
    "df_aapl.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "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>Ticker</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>Year</th>\n",
       "      <th>DayOfYear</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>72.716080</td>\n",
       "      <td>2020</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>72.009132</td>\n",
       "      <td>2020</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>72.582916</td>\n",
       "      <td>2020</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker           AAPL  Year  DayOfYear\n",
       "Date                                  \n",
       "2020-01-02  72.716080  2020          2\n",
       "2020-01-03  72.009132  2020          3\n",
       "2020-01-06  72.582916  2020          6"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_aapl['Year'] = df_aapl.index.year\n",
    "df_aapl['DayOfYear'] = df_aapl.index.dayofyear\n",
    "\n",
    "df_aapl.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_aapl_yoy = df_aapl.pivot(index='DayOfYear', columns='Year', values='AAPL')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "for year in df_aapl_yoy.columns:\n",
    "    plt.plot(df_aapl_yoy.index, df_aapl_yoy[year], label=year)\n",
    "plt.legend()\n",
    "plt.title('YoY Trend of SP500 Index')\n",
    "plt.xlabel('Day of Year')\n",
    "plt.ylabel('SP500 Index')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "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>Ticker</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>Year</th>\n",
       "      <th>DayOfYear</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>72.716080</td>\n",
       "      <td>2020</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>72.009132</td>\n",
       "      <td>2020</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>72.582916</td>\n",
       "      <td>2020</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker           AAPL  Year  DayOfYear\n",
       "Date                                  \n",
       "2020-01-02  72.716080  2020          2\n",
       "2020-01-03  72.009132  2020          3\n",
       "2020-01-06  72.582916  2020          6"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_aapl.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot autocorrelation function(ACF)\n",
    "\n",
    "sm.graphics.tsa.plot_acf(df_aapl.AAPL, lags=720)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('ACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Classical Methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  2 of 2 completed\n"
     ]
    }
   ],
   "source": [
    "import datetime\n",
    "\n",
    "ticker = ['AAPL', 'MSFT']\n",
    "start = datetime.datetime(2019, 1, 1)\n",
    "end = datetime.datetime(2021, 1, 1)\n",
    "stock_prices = yf.download(ticker, start, end, interval='1d').Close"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "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>Ticker</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-01-02</th>\n",
       "      <td>37.667175</td>\n",
       "      <td>95.310539</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-03</th>\n",
       "      <td>33.915249</td>\n",
       "      <td>91.804260</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-04</th>\n",
       "      <td>35.363075</td>\n",
       "      <td>96.074005</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Ticker           AAPL       MSFT\n",
       "Date                            \n",
       "2019-01-02  37.667175  95.310539\n",
       "2019-01-03  33.915249  91.804260\n",
       "2019-01-04  35.363075  96.074005"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock_prices.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(stock_prices.AAPL, label='AAPL')\n",
    "plt.plot(stock_prices.MSFT, label='MSFT')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stationary Assumption\n",
    "\n",
    "Classical time series models typically assume that the underlying data is stationary. Stationarity describes that the time-series has\n",
    "- Constant mean and mean is not time-dependent\n",
    "- Constant variance and variance is not time-dependent\n",
    "- Constant covariance and covariance is not time-dependent\n",
    "\n",
    "![](https://towardsdatascience.com/wp-content/uploads/2023/04/10vp3L0WZV_HkqS53H6skjg.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**[Augmented Dickey-Fuller (ADF) test](https://en.wikipedia.org/wiki/Augmented_Dickey%E2%80%93Fuller_test)**: If the p-value is low (< 0.05), the series is stationary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "# ADF Test for stationarity\n",
    "def adf_test(series):\n",
    "    result = adfuller(series)\n",
    "    print(f\"ADF Statistic: {result[0]}\")\n",
    "    print(f\"p-value: {result[1]}\")\n",
    "    if result[1] < 0.05:\n",
    "        print(\"The series is stationary.\")\n",
    "    else:\n",
    "        print(\"The series is non-stationary.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(stock_prices.AAPL, label='AAPL')\n",
    "plt.axhline(y=stock_prices.AAPL.mean(), color='black', linestyle='--', label='Mean')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing the stationarity of the AAPL stock price\n",
      "ADF Statistic: 0.3193967529177845\n",
      "p-value: 0.9782171043978016\n",
      "The series is non-stationary.\n",
      "Testing the stationarity of the MSFT stock price\n",
      "ADF Statistic: -0.7445058376214995\n",
      "p-value: 0.8348823707574802\n",
      "The series is non-stationary.\n"
     ]
    }
   ],
   "source": [
    "print(f\"Testing the stationarity of the AAPL stock price\")\n",
    "adf_test(stock_prices.AAPL)\n",
    "print(f\"Testing the stationarity of the MSFT stock price\")\n",
    "adf_test(stock_prices.MSFT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing the stationarity of the AAPL stock price with difference transformation\n",
      "ADF Statistic: -7.013871143180786\n",
      "p-value: 6.811536287141477e-10\n",
      "The series is stationary.\n",
      "Testing the stationarity of the MSFT stock price with difference transformation\n",
      "ADF Statistic: -7.190232875799862\n",
      "p-value: 2.514813465298105e-10\n",
      "The series is stationary.\n"
     ]
    }
   ],
   "source": [
    "print(f\"Testing the stationarity of the AAPL stock price with difference transformation\")\n",
    "adf_test(stock_prices.AAPL.diff().dropna())\n",
    "print(f\"Testing the stationarity of the MSFT stock price with difference transformation\")\n",
    "adf_test(stock_prices.MSFT.diff().dropna())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff_aapl = stock_prices.AAPL.diff().dropna()\n",
    "\n",
    "plt.plot(diff_aapl, label='AAPL')\n",
    "plt.axhline(y=diff_aapl.mean(), color='black', linestyle='--', label='Mean')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.graphics.tsa.plot_acf(diff_aapl, lags=30)\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.ylabel('ACF')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving Average Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "diff_stock_prices = stock_prices.diff().dropna()\n",
    "split = int(len(diff_stock_prices['AAPL'].values) * 0.95)\n",
    "diff_train_aapl = diff_stock_prices['AAPL'].iloc[:split]\n",
    "diff_test_aapl = diff_stock_prices['AAPL'].iloc[split:]\n",
    "diff_train_msft = diff_stock_prices['MSFT'].iloc[:split]\n",
    "diff_test_msft = diff_stock_prices['MSFT'].iloc[split:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, figsize=(10, 6))\n",
    "plt.tight_layout() \n",
    "sm.graphics.tsa.plot_acf(diff_train_aapl,lags=30,\n",
    "                         ax=ax[0], title='ACF - Apple')\n",
    "sm.graphics.tsa.plot_acf(diff_train_msft,lags=30,\n",
    "                         ax=ax[1], title='ACF - Microsoft')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there are significant spikes at some lags and, therefore, we’ll choose lag 9 for the short MA model and 22 for the long MA for Apple. These imply that an order of 9 will be our short-term order and 22 will be our long-term order in modeling MA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "short_moving_average_appl = diff_train_aapl.rolling(window=9).mean()\n",
    "long_moving_average_appl = diff_train_aapl.rolling(window=22).mean()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "ax.plot(diff_train_aapl.loc[start:end].index, \n",
    "        diff_train_aapl.loc[start:end],\n",
    "        label='Stock Price', linestyle='--')\n",
    "ax.plot(short_moving_average_appl.loc[start:end].index, \n",
    "        short_moving_average_appl.loc[start:end],\n",
    "        label = 'Short MA', linestyle='solid')\n",
    "ax.plot(long_moving_average_appl.loc[start:end].index, \n",
    "        long_moving_average_appl.loc[start:end],\n",
    "        label = 'Long MA', linestyle='solid')\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Differenced Price')\n",
    "ax.set_title('Stock Prediction-Apple')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The short-term MA tends to be more responsive to daily changes in Apple’s stock price compared to the long-term MA. This makes sense because taking into account a long MA generates smoother predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "short_moving_average_msft = diff_train_msft.rolling(window=2).mean()\n",
    "long_moving_average_msft = diff_train_msft.rolling(window=22).mean()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "ax.plot(diff_train_msft.loc[start:end].index,\n",
    "        diff_train_msft.loc[start:end],\n",
    "        label='Stock Price', linestyle='--')\n",
    "ax.plot(short_moving_average_msft.loc[start:end].index,\n",
    "        short_moving_average_msft.loc[start:end],\n",
    "        label = 'Short MA', linestyle='solid')\n",
    "ax.plot(long_moving_average_msft.loc[start:end].index,\n",
    "        long_moving_average_msft.loc[start:end],\n",
    "        label = 'Long MA', linestyle='-.')\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Differenced Price')\n",
    "ax.set_xlabel('Date')\n",
    "ax.set_title('Stock Prediction-Microsoft')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autoregressive Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.graphics.tsa.plot_pacf(diff_train_aapl, lags=30)\n",
    "plt.title('PACF of Apple')\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.graphics.tsa.plot_pacf(diff_train_msft, lags=30)\n",
    "plt.title('PACF of Microsoft')\n",
    "plt.xlabel('Number of Lags')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.ar_model import AutoReg\n",
    "\n",
    "ar_aapl = AutoReg(diff_train_aapl.values, lags=29)\n",
    "ar_fitted_aapl = ar_aapl.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "ar_predictions_aapl = ar_fitted_aapl.predict(start=len(diff_train_aapl), \n",
    "                                             end=len(diff_train_aapl)\\\n",
    "                                             + len(diff_test_aapl) - 1, \n",
    "                                             dynamic=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================================================\n",
      "predicted values:1.6069 & actual values:1.2893\n",
      "==================================================\n",
      "predicted values:-0.8302 & actual values:0.8400\n",
      "==================================================\n",
      "predicted values:-0.9754 & actual values:0.5470\n",
      "==================================================\n",
      "predicted values:1.1071 & actual values:2.4029\n",
      "==================================================\n",
      "predicted values:-0.1099 & actual values:3.5848\n",
      "==================================================\n",
      "predicted values:1.7415 & actual values:0.3516\n",
      "==================================================\n",
      "predicted values:-0.8556 & actual values:-0.1367\n",
      "==================================================\n",
      "predicted values:1.7161 & actual values:-0.6740\n",
      "==================================================\n",
      "predicted values:-1.4796 & actual values:1.4652\n",
      "==================================================\n",
      "predicted values:1.8011 & actual values:0.6154\n",
      "==================================================\n",
      "predicted values:-1.2258 & actual values:-2.5396\n",
      "==================================================\n",
      "predicted values:-0.5260 & actual values:1.4261\n",
      "==================================================\n",
      "predicted values:-0.1108 & actual values:-0.8107\n",
      "==================================================\n",
      "predicted values:-0.5905 & actual values:-0.6154\n",
      "==================================================\n",
      "predicted values:1.2516 & actual values:5.9584\n",
      "==================================================\n",
      "predicted values:0.2538 & actual values:-0.0684\n",
      "==================================================\n",
      "predicted values:0.4329 & actual values:0.8694\n",
      "==================================================\n",
      "predicted values:-1.2680 & actual values:-1.9926\n",
      "==================================================\n",
      "predicted values:0.5774 & actual values:1.5335\n",
      "==================================================\n",
      "predicted values:0.2326 & actual values:3.5652\n",
      "==================================================\n",
      "predicted values:0.0167 & actual values:-0.8986\n",
      "==================================================\n",
      "predicted values:0.9701 & actual values:0.9865\n",
      "==================================================\n",
      "predicted values:0.2748 & actual values:4.6104\n",
      "==================================================\n",
      "predicted values:0.8034 & actual values:-1.7777\n",
      "==================================================\n",
      "predicted values:0.1671 & actual values:-1.1233\n",
      "==================================================\n",
      "predicted values:0.5563 & actual values:-1.0061\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/78/njcscll93_s6cc27zw_h0pmr0000gn/T/ipykernel_85463/3994535184.py:4: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n",
      "  .format(ar_predictions_aapl[i], diff_test_aapl[i]))\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(ar_predictions_aapl)):\n",
    "    print('==' * 25)\n",
    "    print('predicted values:{:.4f} & actual values:{:.4f}'\\\n",
    "          .format(ar_predictions_aapl[i], diff_test_aapl[i]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "ar_predictions_aapl = pd.DataFrame(ar_predictions_aapl)\n",
    "ar_predictions_aapl.index = diff_test_aapl.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "ar_msft = AutoReg(diff_train_msft.values, lags=26)\n",
    "ar_fitted_msft = ar_msft.fit()\n",
    "\n",
    "ar_predictions_msft = ar_fitted_msft.predict(start=len(diff_train_msft), \n",
    "                                             end=len(diff_train_msft)\\\n",
    "                                             +len(diff_test_msft) - 1,\n",
    "                                             dynamic=False)\n",
    "\n",
    "ar_predictions_msft = pd.DataFrame(ar_predictions_msft)\n",
    "ar_predictions_msft.index = diff_test_msft.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x1500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2,1, figsize=(18, 15))\n",
    " \n",
    "ax[0].plot(diff_test_aapl, label='Actual Stock Price', linestyle='--')\n",
    "ax[0].plot(ar_predictions_aapl, linestyle='solid', label=\"Prediction\")\n",
    "ax[0].set_title('Predicted Stock Price-Apple')\n",
    "ax[0].legend(loc='best')\n",
    "ax[1].plot(diff_test_msft, label='Actual Stock Price', linestyle='--')\n",
    "ax[1].plot(ar_predictions_msft, linestyle='solid', label=\"Prediction\")\n",
    "ax[1].set_title('Predicted Stock Price-Microsoft')\n",
    "ax[1].legend(loc='best')\n",
    "for ax in ax.flat:\n",
    "    ax.set(xlabel='Date', ylabel='Differenced Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autoregressive Integrated Moving Average Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: 0.3193967529177845\n",
      "p-value: 0.9782171043978016\n",
      "The series is non-stationary.\n"
     ]
    }
   ],
   "source": [
    "adf_test(stock_prices.AAPL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -0.7445058376214995\n",
      "p-value: 0.8348823707574802\n",
      "The series is non-stationary.\n"
     ]
    }
   ],
   "source": [
    "adf_test(stock_prices.MSFT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n",
      "  warn('Non-stationary starting autoregressive parameters'\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n",
      "  warn('Non-invertible starting MA parameters found.'\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/base/model.py:607: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  warnings.warn(\"Maximum Likelihood optimization failed to \"\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/base/tsa_model.py:837: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  return get_prediction_index(\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/statsmodels/tsa/base/tsa_model.py:837: FutureWarning: No supported index is available. In the next version, calling this method in a model without a supported index will result in an exception.\n",
      "  return get_prediction_index(\n"
     ]
    },
    {
     "data": {
      "image/png": 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61VzPnj1zRUVF6TGaq8Y1efPNN3M/+MEPcrvsskuuV69eudLS0rSWgw8+OHffffet9tj3q3XBggW5b3zjG7m+ffvmysrKckOHDs39+te/zjU2Nr7nnFdccUVu++23z1VUVOS6du2a23PPPXN33333yvuTupPzr+qJJ55IX/+HP/zh3OLFi9f6epJjbbXVVrl1SWr/8pe/vNb7fvjDH65226RJk3Kf/vSn09ee1L3ZZpulz6+trV3tPTjrrLNyQ4YMyZWXl+d69OiR22233XK/+c1vcnV1dWutJflMBw4c+L71Jp9p8vksW7Zs5XftuuuuS8+X3J587sl7ltS5pvdjzJgxuV133TXXrl279P296KKLVnvchAkT0mMm/99a1RtvvJG+7t69e6efa79+/XKHHHJI7u9///v71gsAQNMpSv6nJQJ5AACAfPHAAw+kHfxJR3vytwreT9KJn4zWWdeMdQAAWi8zygEAAAAAKGiCcgAAAAAACpqgHAAAAACAgmZGOQAAAAAABU1HOQAAAAAABU1QDgAAAABAQSvNuoDWoLGxMaZNmxadO3eOoqKirMsBAAAAAGANkkniCxYsiL59+0ZxcdP1gQvKI9KQfMCAAVmXAQAAAADAepgyZUr0798/moqgPCLtJF/x5lZWVmZdDgAAAAAAa1BTU5M2Pa/IdJuKoDxi5biVJCQXlAMAAAAAtG5NPULbYp4AAAAAABQ0QTkAAAAAAAVNUA4AAAAAQEEzo3w9NTQ0xLJly7IuA9ZLWVlZlJSUZF0GAAAAAOQFQfl6WLhwYUydOjVyuVzWpcB6L2bQv3//6NSpU9alAAAAAECrJyhfj07yJCTv0KFD9OzZs8lXU4WmlvygM2vWrPR7O3ToUJ3lAAAAALAOgvJ1SMatJMFjEpK3b98+63JgvSTf14kTJ6bfX0E5AAAAALw/i3muJ53k5BPfVwAAAABYf4JyAAAAAAAKmqAcAAAAAICCJigns9Egt956a7Q2V111VXTp0qWg3wMAAAAAKDSC8jbuscceSxdzPPjggzf4uYMHD47zzz8/sjBr1qz44he/GAMHDoyKioro3bt37L///vHf//631QXNe+21V1pLcmnXrl2MGDEi/u///m+dz5s+fXoceOCBLVIjAAAAALB2gvI27vLLL4+vfvWr8dBDD8W0adMiX3zyk5+MZ555Jv785z/Hq6++GrfddlsaSM+ZMydao1NPPTUNvl988cU46qij4stf/nJcd911a3xsXV1duk3C/+RHAAAAAAAgW4LyjbS4rn6tl6XLGpr8sRtj4cKFccMNN6Sd2UlHeTJW5N1uv/322HHHHdNO6B49esThhx+e3p6E0pMmTYpvfOMbK7ulEz/60Y9i5MiRqx0j6TpPus9XeOqpp2LfffdNj1dVVRV77rlnPP300+td9/z58+Phhx+OX/7yl7H33nvHoEGDYqeddoqzzjorDj300PQxK86X1JvUtur5L7nkkth8882jvLw8hg8fHtdcc817jv/5z38+Ntlkk/R1b7311nHHHXestbN99OjR6Xlqa2vXWnOHDh3S4HuzzTZL36OhQ4em4f6K9/IrX/lKfP3rX0/fk6Qzfk0d8VOnTo1jjjkmunXrFh07dkzP+8QTT6y8/x//+EfssMMOac3Jec4555yor9+47wYAAAAA8D+lq+yzAUb84K613rf38J5x5ck7rbw+6sf3xJJ3BeIr7Lxpt7jh87uuvP6hX94fcxct7zhe1cRfbPjolBtvvDG22GKLNCw+/vjj06A2CZtXhN7//Oc/0wD4e9/7Xlx99dVpp/O//vWv9L6bb745tttuu/jc5z6XdktviAULFsSJJ54Yv//97yOXy8Vvf/vbOOigg+K1116Lzp07r/P5nTp1Si9JiLzLLrusses6CeN79eoVV155ZRxwwAHpeJnELbfcEqeddloa3n/0ox9NA/CTTz45+vfvn4bujY2N6biTpMZrr702DdSTLvAVz1/VlClT0sA/qSHpzF/TY9amffv2KzvHE0lnfPKDxaqjY979o0byg0K/fv3SgD0J3ZMfF5J6E8kPB5/+9KfjwgsvjD322CPeeOON9LNJ/PCHP1zvugAAAACA9xKUt2FJuJsE5IkkTK6uro4HH3ww7XBO/PSnP41PfepTaWfyCkk4nki6mpNgOAm2k9B2Q3zkIx9Z7fof/vCHdIHM5NyHHHLIOp9fWlqadr8nAf2ll16adlEnIXJS67bbbps+pmfPnuk2Oe6q9f3mN7+Jk046Kb70pS+l108//fR4/PHH09uToPyee+6JJ598Ml566aUYNmxY+pikO/vdXnnllTQkT35ISEL3FT8urEtDQ0M6cuW5555bGWQnkg7zX/3qV2t93l//+te0ez35ASB57xNDhgxZeX/yGX3nO99Jf4BYUfOPf/zjOOOMMwTlAAAAAPABCco30ovnLh+fsSbF7wpVx5790fV+7CNn7t0E1S0PepNAOOmwXhE+H3300Wl4viIoHzdu3AZ3i6+PmTNnxve///144IEH4u23307D48WLF8fkyZM3aEZ5Mi4m6aROgu5///vfadD8pz/9KQ3C1yYJwFcNqBO77757XHDBBStfc9JdviIkX5MlS5akXdvHHnvsei9mmizemdSWdJEnPzAkI2uSDvIVRo0a9b7PT+rafvvtV4bk7/bss8+m3ejJjxsrJO/r0qVL0/c2Gf0CAAAAAGwcQflG6lBemvlj308SiCfzq/v27bvytmQMSjLG5KKLLkpnhyfjQTZUcXFxepxVLVu2bLXrSddzsuhmEk4n88WTc+66666rjSJZH8ks7qSrO7mcffbZ8dnPfjbtnn6/oHxd1uc1J/WuGNvy7W9/Ox2Hsi7HHXdcOsImOX6fPn3S92lVyczxD1JXMpol6Sr/xCc+scb3CQAAAADYeBbzbIOSgDyZOZ7MBk86lVdckq7kJDhPRoMkkjEm995771qPkyyGmXQtryoZeTJjxozVwvLk2KtKOp+/9rWvpXPJt9pqqzR4nj179gd+XSNGjIhFixatvF5WVvae+rbccsv3zAFPrifPXfGak0UzX3311bWeJwm5kwVAky7wZFzLtGnT1llb8sNDMiolCdXfHZKvj6Su5H2cO3fuGu9Pxs8kf0sgOce7LxtzPgAAAADgfyRsbVDSCT1v3rw45ZRTYuutt17tkow0SbrNE0l3dhKaJ9tkZMnzzz8fv/zlL1ceZ/DgwfHQQw/FW2+9tTLoTsa2JLO0kzEoyYKSF198cToWZVXJPO4kaE6O+cQTT6Td1hvSvZ50oydzzpPFNpNZ3xMmTIi//e1v6Tk//vGPr1ZfEvQnwX3yehNJB3gy3/ySSy5JFw/93e9+ly5M+q1vfSu9P5l1/uEPfzh9H+6+++702En9d95552o1JONT/vKXv6Qz25NaknM0p2OOOSadtX7YYYelwf6bb74ZN910Uzz22GPp/T/4wQ/SHz+SrvLx48en7+3111+fjrgBAAAAAD4YQXkblAThyeiQpMv53ZKAeMyYMWkAnYTeSQB92223xciRI9NAOJlrvsK5554bEydOjM0333zl4plJx3YyjzsJyJMQOXn8ihB61fMnwXXSBX3CCSek3eW9evVa7/o7deoUO++8c5x33nlpqJ0E/MnolWSeejI2ZoWkYz4JuwcMGJDO904kQXMy8iVZvDPpZr/sssviyiuvXDmXPZEE0DvuuGMaTied5smCmO/uTF8x1z35ISE5TvLeJPPWm0vSvf+f//wnfZ+STvxtttkmfvGLX6SBfWL//fdPfwBJHpPUvssuu6TvTzLaBgAAAAD4YIpy7x44XYBqamrSULm6ujoqKytXuy9ZLDHpOt50003NgiZv+N4CAAAAUGhZ7gehoxwAAAAAgIImKAcAAAAAoKAJygEAAAAAKGiCcgAAAAAACpqgHAAAAACAgiYoBwAAAACgoAnKAQAAAAAoaIJyAAAAAAAKmqAcAAAAAICCJijnAzvppJPisMMOW3l9r732iq9//esf6JhNcQwAAAAAgPUhKG/jAXZRUVF6KS8vjyFDhsS5554b9fX1zXrem2++OX784x+v12MfeOCBtL758+dv9DEAAAAAAD6I0g/0bFq9Aw44IK688sqora2Nf/3rX/HlL385ysrK4qyzzlrtcXV1dWmY3hS6devWKo4BAAAAALA+dJRvqFwuom5RNpfk3BuooqIievfuHYMGDYovfvGL8dGPfjRuu+22leNSfvrTn0bfvn1j+PDh6eOnTJkSRx11VHTp0iUNqz/+8Y/HxIkTVx6voaEhTj/99PT+7t27xxlnnBG5d9X17rEpSUh/5plnxoABA9J6ks72yy+/PD3u3nvvnT6ma9euaWd5UteajjFv3rz49Kc/nT6uQ4cOceCBB8Zrr7228v6rrroqremuu+6KLbfcMjp16pT+SDB9+vQNfs8AAAAAgMKio3xDLVsc8bO+2Zz7u9Miyjt+oEO0b98+5syZk+7fe++9UVlZGXfffXd6fdmyZbH//vvHrrvuGg8//HCUlpbGT37ykzRwfu6559KO89/+9rdpKH3FFVekgXRy/ZZbbomPfOQjaz1nEnA/9thjceGFF8Z2220XEyZMiNmzZ6fB+U033RSf/OQn45VXXklrSepbkyRAT4LxJORPHpcE7wcddFC8+OKLaYd8YvHixfGb3/wmrrnmmiguLo7jjz8+vvWtb8Vf/vKXD/SeAQAAAABtm6C8QCRd30kwnnRcf/WrX41Zs2ZFx44d409/+tPKkSvXXnttNDY2prcl3d2JZGxL0qmdzBLfb7/94vzzz0/HtnziE59I77/00kvTY67Nq6++GjfeeGMaxifd7InNNtvsPSNWevXqlZ5nTVYE5P/9739jt912S29Lwu8kaL/11lvjyCOPXBn0J/Vsvvnm6fWvfOUr6Ux2AAAAAID3IyjfUGUdlnd2Z3XuDXTHHXekY0iSEDkJwY899tj40Y9+lM4q32abbVabS/7ss8/G66+/Hp07d17tGEuXLo033ngjqqur01EmO++888r7kq7z0aNHv2f8ygrjxo2LkpKS2HPPPWNjvfTSS+l5Vj1vMvYlGReT3LdCMpJlRUie6NOnT7z99tsbfV4AAAAAoDAIyjdU0mn9AceftKRkBvgll1ySBuLJLPIkcF4h6Shf1cKFC2PUqFFrHFXSs2fPjTr/2kapNIcVI1hWSLri1xbgAwAAAACsYDHPNi4Jw5PFMwcOHLhaSL4mO+ywQzrmJBmDkjxn1UtVVVV6Sbq0n3jiiZXPqa+vj7Fjx671mEnXetLJ/uCDD67x/hUd7ckioWuTzEJPzrPqeZM568lc8xEjRrzvawIAAAAAWBdBOSsdd9xx0aNHj/j4xz+eLuaZLLqZzCb/2te+FlOnTk0fc9ppp8UvfvGLdDb4yy+/HF/60pdi/vz5az3m4MGD48QTT4zPfOYz6XNWHDOZW54YNGhQ2vmdjIhJ5qYnXe3vNnTo0LSmU089NR555JF0REyyUGe/fv3S2wEAAAAAPghBOavN+H7ooYfS7vNksc6kk/uUU05JZ5RXVlamj/nmN78ZJ5xwQhp+77rrruk888MPP/x9j5uMfjniiCPSUH2LLbZIA+9Fixal9yVh9znnnBPf+c53YpNNNkkX4FyTZFHRZCzMIYcckp43Ganyr3/96z3jVgAAAAAANlRRzhDnqKmpSceKJItVrgiEV0hC4qQLetNNN4127dplViNsCN9bAAAAAAoty/0gdJQDAAAAAFDQBOUAAAAAABQ0QTkAAAAAAAVNUA4AAAAAQEETlK8na56ST3xfAQAAAGD9CcrXoaSkJN3W1dVlXQqstxXf1xXfXwAAAIB1mTJ3cZx05ZNx27PTsi4FWlxpy58yv5SWlkaHDh1i1qxZUVZWFsXFflugdWtsbEy/r8n3Nvn+AgAAAKzLsobG+Nr1z8Qzk+fHs1Pmx0e37BUdyuUKFA7f9nUoKiqKPn36xIQJE2LSpElZlwPrJflBZ+DAgen3FwAAAGBdLnvwjTQkT8xbvCz+NmZqnLjb4KzLghYjKF8P5eXlMXToUONXyKvvrL/9AAAAAKyvI0cPiMffnBvlpcVx38tvxx8ffjOO23lglJbIFygMgvL1lISO7dq1y7oMAAAAAGhym1S2i2tO2Slq6xtj91/cF1PnLYl/Pj89Pj6yX9alQYvwkxAAAAAAFKhkHvkKyQjXdmUl6ciVwd07REVpSaa1QUsqyuVyuShwNTU1UVVVFdXV1VFZWZl1OQAAAADQ7G595q34+g3j4oRdBsW5H99q5VpnS5c1RFlJcZQUW/uMwslyjV4BAAAAgAIzZe7i+P6tL6T7PTpVrAzJE0lXORQao1cAAAAAoIDUNzSmneQLa+tj1KCu8eW9N1/j45LO8uufnBwvTa9p8RqhpQnKAQAAAKCAXHT/6zF20rzoXFEa5x89MkpL1hwR/uSfL8Z3bn4+Lr7/9RavEVqaoBwAAAAACsTYSXPjwntfS/d/fNjWMaBbh7U+9ridB6Xbfz0/PSbPWdxiNUIWBOUAAAAAUABq6xvSkSuNuYiPj+wbh23f730fv2WfythzWM/08X98+M0WqxOyICgHAAAAgAJQUVoSZx88IrbtX5V2k6+Pz++5Wbq9ccyUmLOwtpkrhOwIygEAAACgQOy3Ve/4x5d3j8p2Zev1+F036x7b9a+K2vrG+PNjk5q9PsiKoBwAAAAA2rBp85fEjOqlK68XFRWt93OTx35+z83T/asfmxiL6+qbpUbImqAcAAAAANqohsZcfP36cXHABQ/Ff1+fvVHH2H+r3jG4e4fYrn+XmLd4WZPXCK1BadYFAAAAAADN45IHXo8nJ86NjuUl0b9r+406RklxUdz+1Q9F5/Uc1wL5SEc5AAAAALRB46bMj/PueS3dP+fjW8eg7h03+lhCcto6QTkAAAAAtDELa+vjtOufSUevHLJtn/jkDv2a5Lgza5bGHx56I3K5XJMcD1oLo1cAAAAAoI0557bxMWnO4uhb1S5+etg2G7SA59osXdYQ+5//UMxfvCy26F0ZHx7Ws0lqhdZARzkAAAAAtCH3vDgz/jZ2aiTZ+HlHj4yqDk0zNqVdWUl8Yvv+6f6lD77RJMeE1kJQDgAAAABtyO5DesTxuwyML+21eey8WfcmPfYpe2yaLu756Btz4rmp85v02JAlQTkAAAAAtCHty0viJ4dtE9/ab3iTH7tfl/Zx6HZ90/3LHnqzyY8PWRGUAwAAAEAb8MzkedHY+L9FNptiLvmafH7PzdLtv5+fHpPmLGqWc0BLE5QDAAAAQJ5LxqAceeljcfzlT8Si2vpmPVeykOdew3tGksn/6eEJzXouaCmCcgAAAADIY4vr6uO068dFfWMuqtqXRYfykmY/5+c/vHm0LyuJjhWlzX4uaAm+yQAAAACQx358x4sxYfai6F3ZLn7+iW2abeTKqnbZrFs8ftY+UdWhrNnPBS1BRzkAAAAA5Kk7X5gR1z05JZJs/HdHbxddOpS3yHmTMF5ITlsiKAcAAACAPDSjeml85+bnVo5C2W3zHpnUMXbSvLjv5ZmZnBuaiqAcAAAAAPLQWTc/F/MXL4ut+1XG6fsOy6SGO1+YHp+85NE4+9bxsayhMZMaoCkIygEAAAAgD31r/+Gxbf+quOBT20d5aTYx317De0WPTuXx1vwl8c/npmdSAzQFQTkAAAAA5KGt+lbFP768e2zes1NmNbQrK4mTd9803b/0wTcil8tlVgt8EIJyAAAAAMgTS+oa4oW3qldbVDNrx+88KDqUl8TLMxbEg6/Oyroc2CiCcgAAAADIEz/554tx2MX/jWsfnxStRVWHsjhmp4Hp/mUPvpl1ObBRBOUAAAAAkAfufnFm/OWJyVHfmIvB3TtGa3LKhzaN0uKieOzNOfHslPlZlwMbTFAOAAAAAK3c2zVL48ybnkv3T91j0/jQ0B7RmvTt0j4OHdk3+ndtH/MW12VdDmyw0g1/CgAAAADQUhobc/HNvz0bcxfVxYg+lfGt/YdHa/TDQ7aKjhUlUVqiN5f8IygHAAAAgFbsiv9OiIdfmx0VpcVx4TEjo6K0JFqjZFY55Cs/7wAAAABAK/XmrIXxqztfSfe/f8iIGNKrc7R2dfWN8fexU2PWgtqsS4H1JigHAAAAgFYqWbTzjAOGx0Hb9I7jdx4Y+eDLf306vvW3Z+PPj07MuhRYb4JyAAAAAGiliouL4rN7bBYXH7tDFBUVRT74xPb90u3Vj02MRbX1WZcD60VQDgAAAACtzAtvVa8WMudLSJ7Yb6vesWmPjlGztD6uf2pK1uXAehGUAwAAAEArksz2PvGKJ+OQ3z8Sk+csjnxTUlwUp+6xWbp/+cNvxrKGxqxLgnUSlAMAAABAK5HL5eLbf3825iyqi4rS4uhVWRH56BM79IsenSpiWvXSuOO5aVmXA+skKAcAAACAViJZAPOBV2ZFeWlxXPCp7aNdWUnko6Tuk3cfnO5f9uCb6Q8A0JoJygEAAACgFXh5Rk387N8vp/vfPXCLGN67c+Sz43ceFJ0qSqNbx/KYv3hZ1uXA+yp9/7sBAAAAgOa2dFlDnHbduKirb4y9h/eME3db3o2dz6o6lMV939wzelW2y7oUWCcd5QAAAACQsQvufS1embkgenQqj18dsV0UFRVFWyAkJ18IygEAAAAgYyfvNjg+PKxn/PqI7aJn5/xcwPP9zFpQG7c+81bWZcBaGb0CAAAAAK2g8/rPJ+/YZjrJVzV7YW3s8av7ora+MbYb0CU27dEx65LgPXSUAwAAAEAGcrlcPDlh7srrbTEkT/ToVBG7b94jcrmIPz78ZtblwBoJygEAAAAgA9c+PimOuuyx+ME/Xoi27vN7bp5u/z52ajqGBVobQTkAAAAAtLDXZi6In/zzpXR/cPe2P4pkx8FdY/uBXaKuvjH+/OjErMuB9xCUAwAAAEALqq1viK9dPy6d2Z0s4HnSboOjrUvGynz+w8u7yq9+bGIsrK3PuiRYjaAcAAAAAFrQr+98JV6aXhPdOpbHb47cNoqL2+Zs8nfbd8QmsVmPjlGztD6uf3Jy1uXAagTlAAAAANBCHn5tVvzpkQnp/q+P2DZ6dW4XhaKkuChO/fBmUV5aHAuW6iindSnNugAAAAAAKARL6hriW397Nt0/YZdBsc+Wm0ShOXz7fvHRLTeJnp0rsi4FVqOjHAAAAABaQPvykvjZ4dvEzpt2i+8etGUUonZlJUJyWiUd5QAAAADQQpIu8o9s0Std3LLQPTd1frrdtn+XrEsBHeUAAAAA0JwmzVkU06uXrLwuJI+45vFJcehF/42f/vOlrEuBlKAcAAAAAJpJXX1jfPmvT8cB5z8cj70xJ+tyWo2PbtkrykqK4okJc+OZyfOyLgcE5QAAAADQXH579yvxwls1UVwUsVnPjlmX02r0qWofHx/ZL93/w0NvZl0OCMoBAAAAoDk8+vrslSHwLz65bWxS2S7rklqVz314s3R75/gZMWH2oqzLocAJygEAAACgic1bVBen3/hs5HIRx+w0MPbfqnfWJbU6wzbpHPts0St9j3SVkzVBOQAAAAA0oVwuF9+95fmYUbM0Hbdy9iFbZl1Sq/X5PTdPtzc9PTXeXrA063IoYIJyAAAAAGhCdzw3Pf79wox0scoLP7V9dCgvzbqkVmvHwV1jh4FdonvH8pg0Z3HW5VDA/L8UAAAAAJrQviM2iRN3HRR9u7SPrftVZV1Oq1ZUVBS/P3aH6NmpIspL9fSSHUE5AAAAADShdmUlcc7Ht05HsLBu/bq0z7oEMHoFAAAAAJrC42/OiYbG3Grd0qy/+obG+Odz06OuvjHrUihAgnIAAAAAaIKQ/Jg/Ph7H/vHxWLqsIety8tJRlz0WX/7r03H7s9OyLoUCJCgHAAAAgA+gevGyOP2GcZFMWhncvWM6eoUNt++I3un2sofeiMZVOvOhJQjKAQAAAGAjJXPIv3vr8zGtemls2qNj/OBjI7IuKW8du/PA6FRRGq/OXBgPvPp21uVQYATlAAAAALCRbnr6rXSudmlxUZx/9MjoWFGadUl5q6p9WRy388B0/9IH38y6HAqMoBwAAAAANsLE2Yvih/94Id3/xr7DYrsBXbIuKe+dvPumUVZSFE9OmBtPT56XdTkUEEE5AAAAAGyEM296LhbVNcTOm3aLL+y5edbltAm9q9rFYSP7pfuXPfhG1uVQQATlAAAAALARfnToVrHj4K7xu6NHRklxUdbltBmf33OzdDt/8bKoq2/MuhwKRFEuWXGgwNXU1ERVVVVUV1dHZWVl1uUAAAAAQEF7/e2FMaRXp6zLoICyXB3lAAAAALCeqpcsi+emzs+6jDZPSE5LE5QDAAAAwHr6wT9eiE/836Px1ycmZ11KQZi7qC7Ouvm5qF68LOtSaONKsy4AAAAAAPLBLc9MjX+Mm5bOI9+iT+esyykIX7x2bDwxYW46r/z/jtshiorMgqd56CgHAAAAgHWYMndxnH3r+HT/tH2Gxg4Du2ZdUkH43sFbRllJUfz7hRnx1yd18dN8BOUAAAAA8D7qGxrjtOufiYW19bHj4K7x5b2HZF1Swdi2f5c4Y/8t0v1zb38xXpmxIOuSaKME5QAAAADwPi66//V4evL86FxRGr87amQ6eoWWc8qHNo09h/WM2vrG+Op1T8eSuoasS6INEpQDAAAAwFq8PKMmLrz3tXT/J4dvHQO6dci6pIJTXFwUvz1qu+jZuSJenbkwzr3jxaxLog0SlAMAAADAWgzfpHOcfciIOHr0gPj4yH5Zl1OwenSqiPOOGhnJWp6PvD4rqpcsy7ok2piiXC6XiwJXU1MTVVVVUV1dHZWVlVmXAwAAAACswR3PTYsPD+sZle3Ksi6FNpbl6igHAAAAgHcZO2leungnrcsh2/YVktMsBOUAAAAAsIqp8xbHSVc+GQdf+HC6T+uTDMm45rGJccE9y+fHwwdV+oGPAAAAAABtRENjLr5xw7hYsLQ+hvTqFL0r22VdEmswZtK8OPsf49OZ5TsO7hq7DemRdUnkOR3lAAAAAPCO/7v/9Xhq4rzoVFEaFxy9fZSWiM9aox0Hd4tjdhoQyeqLX79hXMxZWJt1SeQ5/08HAAAAgIh4ZvK8OP/e5aM8zv34VjGwe4esS+J9/OCQrWJor07x9oLa+Nbfno3GxlzWJZHHBOUAAAAAFLxk4c6kMzkZvfKx7frG4dv3y7ok1qF9eUn8/tjto6K0OO5/ZVZc8d8JWZdEHhOUAwAAAFDwfnPXKzFpzuLo16V9/OSwraMoGX5Nq7dF78o4+5AR6f4v73w5np9anXVJ5ClBOQAAAAAF78t7D4mPbtkrzjt6ZFS1L8u6HDbAcTsPjAO37h3J5JXn3pqfdTnkqaJcLhl5X9hqamqiqqoqqquro7KyMutyAAAAAIANUL14Wbw+a2GMGtQ161LI0yxXRzkAAAAABSmZR/7wa7OyLoMmUNWhbLWQXG8wG0pQDgAAAEBBuuyhN+KEy5+MH/zjhaxLoQm9NnNBfPKSR+PNWQuzLoU8IigHAAAAoOA8N3V+/O4/r6b7W/eryrocmtDP//1yPD15fnz1umeitr4h63LIE4JyAAAAAArKotr6OO36cVHfmIuDt+kTR47qn3VJNKGfHb5NdO1QFuOn1cQv//1K1uWQJwTlAAAAABSUH9/xYkyYvSj6VLVLQ9WioqKsS6IJ9a5qF785crt0/4r/Toh7X5qZdUnkAUE5AAAAAAXjzhemx/VPTYkkG//dUSPTRSBpe/bZcpP4zO6bpvvf+tuzMaN6adYl0coJygEAAAAoCAuWLouzbn4+3f/CnpvHrpt3z7okmtGZBw6PrfpWxrzFy+LrNzwTDY25rEuiFROUAwAAAFAQOrcrS7vIP7JFr/jGR4dlXQ7NrKK0JH5/zPbRobwkDcmTH0pgbYpyuVzB/5RSU1MTVVVVUV1dHZWVlVmXAwAAAAA0kRfeqo4teneO0hI9w21BTTNlub4dAAAAALRpr85cEG/NX5J1GWRk635Vq4XkRrCwJoJyAAAAANqsJXUN8YVrx8YB5z8UT06Ym3U5ZKi2viHOuX18fOWvT4chG7yboBwAAACANusn/3wx3py1KJ1TPbRXp6zLIUPJ9+DaxyfFv1+YEX95YnLW5dDKCMoBAAAAaJP+M355IFpUFOkinl07lmddEhnask9lnHnAFun+j+94MV6ZsSDrkmhFBOUAAAAAtDlv1yyNM296Lt3/3B6bxe5DemRdEq3AKR/aNPYe3jNq6xvTESzJaB5ICMoBAAAAaFMaG3Pxzb89G/MWL4ut+lbG6fsNy7okWomioqL4zZHbRa/OFfHa2wvj3DvGZ10SrYSgHAAAAIA25e9jp8bDr82OdmXFccGnto+K0pKsS6IV6d6pIs4/emQ6kue6J6fEP5+bnnVJtAKlWRcAAAAAAE3p0JF946UZNTGkV6f0Au+225Ae8aW9No+rH5sUJVqJSf62QS6Xy0WBq6mpiaqqqqiuro7KysqsywEAAAAAmtmyhsZ4e0Ft9OvSPutSaAVZrt9LAAAAAGgTHnjl7WhoLPieUNZTWUnxaiG5hT0Lm6AcAAAAgLx370sz46Qrn4pj/vh42ikMG+LBV2fFh399fzzy2uysSyEjgnIAAAAA8trbC5bGGX9/Lt3fpl9V2ikMG+Ku8TNi1oLa+MaN42L2wtqsyyED/qkBAAAAQN5Klt/79t+eizmL6mKL3p3jjAOGZ10SeegHh4yIYZt0SsPyb974bDQa4VNwBOUAAAAA5K2rHp2Yjs2oKC2OC4/ZPipKS7IuiTzUrqwkLjp2h/R7lHyfLn9kQtYl0cIE5QAAAADkpZdn1MTP//1yuv+9g7eMYZt0zrok8ljy/fnBx0ak+7+66+V4bur8rEuiBQnKAQAAAMjLkStn/v25qKtvjI9s0StO2GVQ1iXRBhy708A4cOvesawhF1+97plYsHRZ1iXRQgTlAAAAAOSdoqKi+PWR28UeQ3vEr47YNr0OH1TyPfrFJ7aNfl3ax+hB3aLY96pgFOWSn98KXE1NTVRVVUV1dXVUVlZmXQ4AAAAAkKF5i+qia8fyrMugBbNcHeUAAAAA5I3ZC2vjmcnzsi6DNm7VkDzpM06Cc9o2QTkAAAAAeSEJLL/9t2fjiEsfi+ufnJx1ORSAOQtr4zNXPRXH/emJqK1vyLocmpGgHAAAAIC8cM3jk+L+V2ZFSXFRjBzYJetyKAD1jbl4dmp1vDi9Jn7+r5ezLodmJCgHAAAAoNV7deaC+Ok/X0r3zzpwi9iit3XmaH6bVLaL3x65Xbp/1aMT4/Znp2VdEs1EUA4AAABAq7Z0WUN87bpnora+MfYc1jNO2m1w1iVRQPbeold8fs/N0v1v//3ZeOGt6qxLohkIygEAAABo1X591yvx8owF0b1jefz6yG2jqKgo65IoMGfsv0X6I83SZY3xuavHxKwFtVmXRBMTlAMAAADQaj07ZX5c/siEdP9XR2wbvTq3y7okClAyF//CY7aPzXp0jGnVS+P0G8dlXRJNTFAOAAAAQKu1bf+q+PHHt4rPfmjT2GfLTbIuhwJW1b4s/nji6Niid+c484Atsi6HJlaUy+VyUeBqamqiqqoqqquro7LSQhAAAAAAwJo1NuaiuNj4n7aW5eooBwAAAKDVefT12bFg6bKsy4D3WDUkf2byvHj8zTmZ1kPTEJQDAAAA0Kq8/vaC+Myfn4qDL3wkZlQvzbocWKMn3pwTR//h8fjitWNjytzFWZfDByQoBwAAAKDVqK1viK9dNy6WLmuMQd07RK/OFVmXBGu03YAu6bzyeYuXxalXj4lFtfVZl8QHICgHAAAAoNX47X9ejRen10TXDmXxmyO3MwuaVqtdWUlcdsKo6NGpIl6esSBOv3FcOr+c/CQoBwAAAKBVeOS12fGHh95M93/5yW1jk8p2WZcE76tPVfs0LC8vKY67xs+MC+59LeuS2EiCcgAAAAAyN29RXXzzb+PS/WN3Hhj7bdU765JgvYwa1DV+cvjW6X4SlP/7+elZl8RGEJQDAAAAkLlf/PvlmFlTG5v17BjfP3jLrMuBDXLU6AFx8u6D0/27xs/Iuhw2QunGPAkAAAAAmtIZBwyP6iXL4isfGRIdykVW5J/vHbRljOhTGZ/coX/WpbARinK5XMFPmK+pqYmqqqqorq6OysrKrMsBAAAAAPJcErsma3uWWJA2L7Jco1cAAAAAyERdfWPc+9LMrMuAJrd0WUN8/YZxcc7t47MuhfUkKAcAAAAgE+fd82qc8ucx8aPbhIm0LWMnzYt/jJsWVz82Ka57cnLW5bAeBOUAAAAAtLhH35gdlz74Rrq/86bdsi4HmtTuQ3rEN/cdlu7/4B8vxFMT52ZdEusgKAcAAACgRc1fXBen3/BsJCvnHT16QBy4TZ+sS4ImlyxMe/A2fWJZQy6+cM3YeGv+kqxL4n0IygEAAABo0QUOv3vL8zGjZmls2qNj/OBjI7IuCZpFUVFR/PrIbWNEn8qYs6guPnf1mFhS15B1WayFoBwAAACAFvO3sVPjX8/PiNLiojj/6JHRsaI065Kg2XQoL40/njg6uncsj/HTauKsm5/LuiTWQlAOAAAAQIuNXDn39hfT/W/sOyy2G9Al65Kg2fXr0j4uOX5U9OpcEZ/aaWDW5bAWRbnk77sUuJqamqiqqorq6uqorKzMuhwAAACANuvBV2fF38ZMiQs+tX2UFBdlXQ60mKXLGqJdWUnWZeS9mmbKcjPtKH/ooYfiYx/7WPTt2zed2XPrrbeudv+PfvSj2GKLLaJjx47RtWvX+OhHPxpPPPHEao+ZO3duHHfccemb0qVLlzjllFNi4cKFLfxKAAAAAFgfew7rGRcdu4OQnIKzakj+2swF8frbCzKth1YUlC9atCi22267uPjii9d4/7Bhw+Kiiy6K559/Ph555JEYPHhw7LfffjFr1qyVj0lC8vHjx8fdd98dd9xxRxq+f+5zn2vBVwEAAADA+3lu6vyYMndx1mVAq/DkhLlx+P89Gp/985ioXrws63JobaNXko7yW265JQ477LB1ttXfc889sc8++8RLL70UI0aMiKeeeipGjx6dPubOO++Mgw46KKZOnZp2qq8Po1cAAAAAmkf1kmVx0AUPR82SZXHVZ3aMUYO6ZV0SZGrOwto49KL/xlvzl8QeQ3vElSftGKUllpIs6NErG6Kuri7+8Ic/pG9C0oWeeOyxx9JxKytC8kQynqW4uPg9I1pWVVtbm76hq14AAAAAaFpJf+b3b30hDQS7dSqP4b01KEL3ThXxx0+PjvZlJfHwa7Pj5/9+OeuSyIegPBmn0qlTp2jXrl2cd9556YiVHj16pPfNmDEjevXqtdrjS0tLo1u3bul9a/Pzn/88DdxXXAYMGNDsrwMAAACg0NzyzFtx+7PT0nnk5x89MjpVlGZdErQKI/pWxu+OWt4MfPkjE+LvY6dmXVLBa/VB+d577x3jxo2LRx99NA444IA46qij4u233/5AxzzrrLPS1vwVlylTpjRZvQAAAABETJ6zOH7wj/Hp/tf3GRrbD+yadUnQqhy4TZ/42j5D0/3v3vx8PD15XtYlFbRWH5R37NgxhgwZErvssktcfvnlacd4sk307t37PaF5fX19zJ07N71vbSoqKtL5NateAAAAAGga9Q2NcdoNz8TC2vrYcXDX+NLeQ7IuCVql5Eek/bfaJOoaGuOKRyZkXU5Ba/VB+bs1NjamM8YTu+66a8yfPz/Gjh278v777rsvfczOO++cYZUAAAAAhesvT0yOZybPj84VpXHe0SPT0SvAexUXF8XvjhoZ39pvWPr/FbKT6WCohQsXxuuvv77y+oQJE9IxK8mM8e7du8dPf/rTOPTQQ6NPnz4xe/bsuPjii+Ott96KI488Mn38lltumY5jOfXUU+PSSy+NZcuWxVe+8pX41Kc+FX379s3wlQEAAAAUrk/tNCCmzF0c2/Sviv5dO2RdDrRqHStK4ysfWT6CZdWFcIuK/MDUkopyybuekQceeCCdQf5uJ554Yhp8H3vssfHEE0+kIXkSnO+4447x/e9/P92ukIxZScLx22+/PYqLi+OTn/xkXHjhhekCoOurpqYmXdQzmVduDAsAAAAAkNXYop/886Xo26VdfO7Dm2ddTqvUXFlupkF5ayEoBwAAAPjg7nxhenx0y02itCTvpv1Cq/Dv56fHF//ydCTTiq44acfYa3ivrEsqmCzXP7UAAAAA+MD+Me6t+MK1T8exf3wi7YoFNtwBW/eOo0cPiMZcxFeveybemLUw65IKhqAcAAAAgA8kmUf+/VteSPd3G9JdRzlspGQu+bmHbRWjBnWNBUvr49Srx0TN0mVZl1UQ/FMLAAAAgI2WdI9/44ZxsaC2PnYY2CW+sveQrEuCvFZRWhKXHj8q+lS1izdnLYrTrnsmGpIWc5qVoBwAAACAjfZ/D7wRYybNi04VpXH+0dvrJocm0LNzRfzhhNFRUVoc978yK3591ytZl9Tm+ScXAAAAABvl6cnz4oJ7X0v3z/34VjGwe4esS4I2Y5v+VfGrI7aNjuUlsf3ALlmX0+aVZl0AAAAAAPmnsTEXZ930fDoS4tDt+sbh2/fLuiRocz4+sl/sPqRH9OhUkXUpbZ6OcgAAAAA2WHFxUVx83Pbx0S03iR8ftnW6CCHQ9FYNyd+avyTeXrA003raKkE5AAAAABtlSK/O8acTR0dV+7KsS4E275nJ8+LjFz0SX7hmbNTWN2RdTpsjKAcAAABgvSUdrWMnzc26DCg4XTqUR119Yzw9eX6cfesLkcvlsi6pTRGUAwAAALBeknnk37hhXBx56WNx45gpWZcDBWXTHh3jomN3iOKiiOnVS6O2vjHrktoUi3kCAAAAsF4uffCNeHLC3OhYXhI7b9ot63Kg4Hx4WM/4y2d3iR0Hd43SEj3QTUlQDgAAAMA6jZsyP867+9V0/5yPbx2DunfMuiQoSLtu3j3rEtokPzsAAAAA8L4W1dbH169/Juobc3Hwtn3ikzv0y7okgCYlKAcAAADgfZ1z+/iYOGdx9K1qFz87bJsoKirKuiSAJiUoBwAAAGCtkpnkN46ZGkk2/rujR0ZVh7KsSwJocmaUAwAAALBWyaKBPzls65izsC522cxsZKBtEpQDAAAAsFbJmJXjdxmUdRkAzcroFQAAAADe476XZ0bN0mVZlwHQIgTlAAAAAKzm+anV8flrxsZBFzwcsxbUZl0OQLMTlAMAAACw0uK6+jjt+mdiWUMutulXFT06lWddEkCzE5QDAAAAsNKP73gp3py9KHpXtouff2KbdEY5QFsnKAcAAAAgddf4GXHdk5MjycZ/d/R20aWDbnKgMAjKAQAAAIiZNUvjOzc9l+5/7sObxW6b98i6JIAWIygHAAAAIH72r5di3uJlsXW/yvjmvsOzLgegRZW27OkAAAAAaI1++LGtoqExF9/Yd1iUl+qtBAqLoBwAAACA6NaxPC46doesywDIhJ8HAQAAAArUkrqGuPOF6VmXAZA5QTkAAABAAc8l/8K1T8e5t7+YdSkAmRKUAwAAABSge16cGdc8Pind33uLnlmXA5ApQTkAAABAgXl7wdI446bn0v1T99g09hgqKAcKm6AcAAAAoIA0NubiW397LuYuqost+1TGt/YfnnVJAJkTlAMAAAAUkKsenRgPvTorKkqL48JPjYyK0pKsSwLInKAcAAAAoEDMWlAbv7zz5XT/+4eMiKGbdM66JIBWoTTrAgAAAABoGT07V8TlJ+4Y/3x+Why/88CsywFoNQTlAAAAAAXkQ0N7pBcA/sfoFQAAAIA27qmJc2PynMVZlwHQagnKAQAAANr4XPIvXjs2Drrw4Rg3ZX7W5QC0SoJyAAAAgDYql8vFGX9/NmYvrIv+XdvHFr0t3gmwJoJyAAAAgDbq6scmxf2vzIry0uK44FPbR7uykqxLAmiVBOUAAAAAbdALb1XHT//1Urr/3QO3iOG6yQHWSlAOAAAA0Ma8XbM0Tr16TNTVN8ZHtugVJ+42OOuSAFo1QTkAAABAG3Ppg2/G9OqlsXnPjnH+p0ZGUVFR1iUBtGqlWRcAAAAA8EHU1jfE9PlLY3CPjlmX0mqcddAWUVwUcfwug6KyXVnW5QC0ejrKAQAAgLx29q0vxF6/eSAueeCNrEtpNcpKiuP7h4zw4wHAehKUAwAAAHkrl8vFjWOmpvu/vPPlmLWgNgrVnS/MiB/dNj7qGxqzLgUg7xi9AgAAAOStSXMWr9y/6Yu7Rc/OFVGIxk+rjm/cMC6WLGtI55KfsKvFOwE2hI5yAAAAIG+NmTQv3Y4a1DW9rLCsgLqq316wNE7985g0JN9jaI84ZqeBWZcEkHcE5QAAAEDeGjtpbrodvUpIPnbSvPjIbx+IF6fVRFu3dFlDfO7qsTGtemls1rNjXHTsDlFaIu4B2FD+yQkAAADkrTET/9dRvsKF974WU+YuiU9f8WRMXmU0S1ucz/6dm56LcVPmR1X7srj8xB3TLQAbTlAOAAAA5G1QfPSOA2L/rTZZPSg/ZvvYonfnmL2wNk644ol0NElb9H8PvBG3jpsWJcVFcclxO8SmPTpmXRJA3hKUAwAAAHmpqKgoPrvHZnHZCaOje6f/LeKZdFVf/ZmdYkC39ulinydd8VTULF0Wbc3QXp2iQ3lJ/OjQrWK3IT2yLgcgrxXlkp9fC1xNTU1UVVVFdXV1VFZWZl0OAAAA0AQmzl4UR1z6aMxeWBc7b9ot/vyZnaJdWUm0JTOql0bvqnZZlwGQ91mujnIAAAAgLz3wytvpDPK19QAO7tExrjp5p+hUURpPTJgblzzwRuS7WQtqY+q8/81dF5IDNA1BOQAAAJB36uob4/PXjI0P//r+eHP2orU+but+VfHHT4+OQ7btE1/ca/PIZ0uXNcTnrxkTh13833hm8vJFTAFoGqVNdBwAAACAFjN+WnXU1jdG1w5lsdk6FrHcdfPu6SWfJV3z3735+Xh68vyobFeazmEHoOnoKAcAAADyzthJyzuqRw3qmi7quSGB8y/+/XJc/siEyCeXPvhm3PzMW1FSXBT/d9yo2Kxnp6xLAmhTdJQDAAAAeWfMxBVBebcNet59L78dlz64fFZ5947lcdj2/aK1u/vFmfGru15O93/4sRHxoaE9si4JoM3RUQ4AAADklaQrfMw7HeWjB3fdoOd+ZItecfLug9P9b/3t2bj/lbejNXtpek2cdv0zkaxXevwuA+PTuy6vHYCmJSgHAAAA8srkuYtj9sLaKC8pjm36VW3Qc5MxLWcfPCI+PrJv1Dfm4kvXPh1Pt+KFMc+/59VYXNcQuw/pHj/82FZZlwPQZgnKAQAAgLwcu7J1v8poV1aywc8vLi6KXx+xXXx4WM9YsqwhPnPVU/HazAXRGp139Mj4zO6bxsXH7hBlJWIcgOZSlEv+vlKBq6mpiaqqqqiuro7KysqsywEAAADex7xFdfHEhLlRVlIU+2y5yUYfZ3FdfRz7xydi3JT50beqXdz7zb2iffmGB+8A5H+W66dIAAAAIK907VgeB2zd+wOF5IkO5aVx5Uk7xha9O8eZB27RakLyyx58Iy6457V0FjsALaO0hc4DAAAA0CpD9zu++qEobSVjTe5+cWb84s6X08U7tx1QFXsP75V1SQAFoXX8WwAAAABgPSRjUpIFLsdOaroFOFcNyWfWLI0f3TY+6uobo6W9PKMmvn79M2lIftzOA2OvYT1bvAaAQqWjHAAAAMgbd784Iy6+/42YMndJjBrUtUmP3dCYi09f/mS8MnNBzF1UF+cfPTJd+LMlzF5YG6dcNSYW1TXEbpt3jx8dulUUFbXMuQHQUQ4AAADkkTETl3eSjx7ctCF5oqS4KL578JZRWlwUtz07Lc6948UWmRNeW98QX7hmbLw1f0kM7t4h/u+4HaKslYyCASgU/qkLAAAA5IVlDY3x7NT56f7oJu4mX2HPYT3jt0dtl+5f9ejEuPj+16O5ff+WF2LMpHnRuV1p/OnEHaNLh/JmPycAqxOUAwAAAHlh/LSaWLqsMaral8XmPTs123k+PrJf/PBjI9L93/zn1fjrE5OjOe24abdoV1YcFx+7Qwzp1XyvC4C1M6McAAAAyAtjJs5Nt8ls8uaeHX7y7pumc8p/f9/r8f1bn4+enSti3xGbNMu5jho9IPYe3is9BwDZEJQDAAAAeWHspOXzyZt6Ec+1OX3fYTF7YV08NXFubN2vskmP/cashdGlfVl077Q8HBeSA2RLUA4AAADkhVdmLGjW+eTvVlRUFD85bOtYWFufjntpKnMW1saJVzyZ7v/5Mzs16xgZANaPoBwAAADIC3efvme8PKOmRYPlkuKi1ULyO1+YHsN7V8amPTpu1PHq6hvji9c+HVPnLYlB3TtENwt3ArQKFvMEAAAA8kISWm/VtyralZVkcv47npsWX/zL03HC5U/E2zVLN/j5uVwunXf+5MS50bmiNC4/cXR07SgoB2gNBOUAAAAA62HnTbvHwG4d0m7wT1/xZFQvWbZBz7/8kQlx45ipkaxD+vtjt48hvTo3W60AbBhBOQAAANDqffbPY+KbNz4bU+YuzqyGZMHNaz6zc7p9ecaCOPXPY2Lpsob1eu59L8+Mn/7rpXT/+wePiL2G92rmagHYEIJyAAAAoFVLOrfvfXlm3PT01MzGrqwwsHuHuPozO0XndqXpCJWv/PWZqG9ofN/nNDbm4ry7X4tcLuKYnQbEybsPbrF6AVg/gnIAAACgVXtm8rw0ZE4Wv0y6ubO2ZZ/KuPzEHaOitDjueWlmnHXz8+n88bUpLi6Ka07ZKT6/52ZxzqFbR1FRUYvWC8C6CcoBAACAVm3spHnpdtSgrtFa7LRpt7jo2B3SBUar2pelQf776dKhPM46cMsoLxXFALRGpVkXAAAAAPB+xkxcHpSPHtQtWpN9R2wS//zah2L4Jp3f0yWedJif/Y8XYnjvyjhhl0GZ1QjA+hGUAwAAAK3WsobGGDdlfro/enDr6ShfYYvelSv3a+sb0u733TbvEVf8d2Jc+/jkKC6K2HnTbjFsk86Z1gnA+xOUAwAAAK3WS9NrYsmyhqhsVxpDenaK1mpJXUOc8uen4okJc+NzH94sLnvwjfT27x60pZAcIA8IygEAAIBWa+HS+hi2SacY0LVDuihma5Us7Nm7ql00NObikgeWh+RHjx4Qp3xo06xLA2A9FOXeb1nmAlFTUxNVVVVRXV0dlZX/+ytTAAAAQOtQ39AYpSXFrX5MzOevGRv3vfx2utjntafsbPFOgDzJcnWUAwAAAK1eaw/JE2UlxXHp8aPi8TfnpEG5kBwgfwjKAQAAgFYpWRyzKIryKnBOav3wsJ5ZlwHABsqff9MAAAAABeXfz8+IbX50V3zvluezLgWANk5QDgAAALRKYybNjdr6xqgoLcm6FADaOEE5AAAA0CqNmTgv3Y4e3DXrUgBo4wTlAAAAQKtTs3RZvDJzQbo/epCgHIDmJSgHAAAAWp1nJs+PXC5iQLf20auyXdblANDGCcoBAACAVmfsxLnpdvSgblmXAkABEJQDAAAArc6YScvnk48ydgWAFlDaEicBAAAA2BD7jtgk2peVxM6b6igHoPkV5XLJxK/CVlNTE1VVVVFdXR2VlZVZlwMAAAAAQAtmuUavAAAAAABQ0ATlAAAAQKsydtLceGv+kqzLAKCACMoBAACAVuUrf30mdv/FffHkhLlZlwJAgRCUAwAAAK1G0kk+vXpplBYXxTb9qrIuB4ACISgHAAAAWo0xE5d3kW/VtzLal5dkXQ4ABUJQDgAAALQaYyfNS7ejBnXLuhQACoigHAAAAGg1xkxcHpSPHtw161IAKCCCcgAAAKBVWFhbHy/PqEn3Rw8SlAPQcgTlAAAAQKvwzOR50ZiLGNCtffSqbJd1OQAUkNKsCwAAAABIbN23Ki46dvuoq2/MuhQACoygHAAAAGgVunYsj0O27Zt1GQAUIKNXAAAAAAAoaIJyAAAAIHMTZi+Ki+9/PcZOmpd1KQAUIEE5AAAAkLmHXp0Vv77rlbjg3teyLgWAAiQoBwAAADI35p1O8tGDumZdCgAFSFAOAAAAZG7sxLnpVlAOQBYE5QAAAECmps1fEtOql0ZJcVGMHNgl63IAKECCcgAAAKBVjF0Z0acyOpSXZl0OAAVIUA4AAAC0irEro4xdASAjgnIAAAAgU8+/VZ1uRw8WlAOQDX+fCQAAAMjUDZ/fNV6cVhODe3TMuhQACpSgHAAAAMhUWUlxbDfAIp4AZMfoFQAAAAAACpqOcgAAACAz37vl+WhozMVn99gshvTqlHU5ABQoHeUAAABAJpKA/B/jpsX1T02J2vqGrMsBoIAJygEAAIBMvDJjQSysrY9OFaWxRe/KrMsBoIAJygEAAIBMjJ00N91uP7BLlBQXZV0OAAVMUA4AAABkYsykeel21KCuWZcCQIETlAMAAACZGDNxeVA+elC3rEsBoMAJygEAAIAWN6N6abw1f0kkE1dGDuySdTkAFLjSrAsAAAAACs/MmqWxWY+O0aGiJF3MEwCy5N9EAAAAQIvbbkCXuO9be8XSZQ1ZlwIARq8AAAAA2WlXVpJ1CQAgKAcAAABaVn1DY3oBgNZCUA4AAAC0qCcmzI1tz/lPnH7DuKxLAYCUoBwAAABoUWMnzYvFdQ2xrDGXdSkAkBKUAwAAAC1qzKR56Xb0oK5ZlwIAKUE5AAAA0GIaGnPxzDtB+ShBOQCthKAcAAAAaDGvzlwQC2rro2N5SWzRu3PW5QBASlAOAAAAtPjYle0Hdo3SErEEAK2DfyMBAAAALWbsxLnp1tgVAFqT0qwLAAAAAArH6MHdYt7iZbHr5t2zLgUAVirK5XK5KHA1NTVRVVUV1dXVUVlZmXU5AAAAAAC0YJZr9AoAAAAAAAVNUA4AAAC0iJem18TbC5ZmXQYAvIegHAAAAGgRZ970XOz003vjzhdmZF0KAKxGUA4AAAA0u8V19TF+Wk26v3U/64MB0LoIygEAAIBmN27K/GhozEXvynbRr0v7rMsBgNUIygEAAIBmN3bivHQ7anDXKCoqyrocAFiNoBwAAABodmMmLQ/KRw/qmnUpAPAegnIAAACgWTU25uLpySuC8m5ZlwMA7yEoBwAAAJrVq28viAVL66NDeUls2adz1uUAwHuUvvcmAAAAgKbTp7J9nHf0djFnYV2UlujZA6D1EZQDAAAAzaqqQ1kcvn3/rMsAgLXyMy4AAAAAAAVNUA4AAAA0mzkLa+MPD72xcjFPAGiNBOUAAABAs3lywtz42b9eju/e/HzWpQDAWgnKAQAAgGYzZtLyTvLRg7tmXQoArJWgHAAAAGj+oHxQt6xLAYC1EpQDAAAAzWJJXUOMf6s63R81SEc5AK2XoBwAAABoFs9OnR/1jbnYpLIi+ndtn3U5ALBWgnIAAACgWYxdZexKUVFR1uUAwFoJygEAAIBm8czk5UG5sSsAtHalWRcAAAAAtE0XHbtDjJ9WHf27dsi6FAB4X4JyAAAAoFm0KyuJUYO6ZV0GAKyT0SsAAAAAABQ0HeUAAABAkzvv7ldjzqLaOHanQTGib2XW5QDA+9JRDgAAADS5W8e9Fdc+PjlmLliadSkAsE6CcgAAAKBJzVpQG5PmLI6ioogdBnbNuhwAWCdBOQAAANCkxk6am26H9eocVe3Lsi4HANZJUA4AAAA0qTET56XbUYN1kwOQHwTlAAAAQJMaM2l5UD56kKAcgPwgKAcAAACazNJlDTF+WnW6P3pQt6zLAYD1Urp+DwMAAABYt2nzl0TvqnaxdFljDOjWPutyAGC9CMoBAACAJrNZz07x8BkfiZqly6KoqCjrcgBgvRi9AgAAADS5ynZlWZcAAOtNUA4AAAA0iVwuF42NuazLAIANJigHAAAAmsQbsxbGduf+J75wzdg0NAeAfCEoBwAAAJrEmInzYsHS+pi3uM58cgDyiqAcAAAAaBJjJs1Lt6MHd826FADYIIJyAAAAoEmMXRGUD+qWdSkAsEEE5QAAAMAHNnthbUyYvSjd32GgjnIA8ougHAAAoMDV1TfGV697Jj7ymwdizsLarMshz7vJh23SKao6lGVdDgBsEEE5AABAAWtozMU3bhgXtz87LQ7Ztk9061iedUnkeVA+ytgVAPKQoBwAAKBANTbm4js3PRf/fH56lJUUxQ6DukZRUVHWZZGnhvTsFLsP6Z5eACDflGZdAAAAAC0vl8vFj//5Yvxt7NQoLoq48FPbx17De2VdFnnsqB0HpBcAyEeCcgAAgAJ03j2vxZX/nZju/+qI7eLAbfrE9OolcckDb8TbNbVx6Qmjsi4RAKDFCMoBAAAKzI1jpsSF976W7p9z6FZxxKj+K+eVX/P4pMjlIt6YtTA279kp40rJF5PmLIrO7crMuAcgb5lRDgAAUGD23XKT2LZ/VXx7/+Fx4m6DV97ev2uH+Mg741f+8vjkDCsk3/z4jhdjhx/fHdc/6XsDQH4SlAMAABSYrh3L48bP7xpf3nvIe+47ftdB6fbvY6fEkrqGDKojH+fdj500L90f3rtz1uUAwEYRlAMAABSAe16cmY5VWaFdWckaH7fn0J4xoFv7qFlaH7c/O60FKyRfvTFrUcxbvCwqSotjq75VWZcDABtFUA4AANDG/ff12fGlvz4dZ9/6Qtz70sz3fWxxcVEct/PyrvJrn/hfsA5rM3bS3HS73YAuUV4qZgAgP/k3GAAAQBuWjMQ49eoxUVffGPuN2CT2HNZznc85clT/KC8pjuemVsezU+a3SJ3krzETl49dGT2oa9alAMBGK934pwIAANCavTitJk6+8slYXNcQewztEb8/dvsoLVl3v1T3ThVx/C6Dol1ZcfSuatcitZK/xk5+JygfLCgHIH8JygEAANqgN2YtjE9f8UQ6a3zUoK5x2QmjoqJ0zXPJ1+QHHxvRrPXRNsxdVBdvzlqU7u8wUFAOQP4SlAMAALQx1YuXxfF/eiJmL6yLrfpWxhUn7Rgdyv3xj6aXzCT/9RHbxqQ5i6NLh/KsywGAjea/lAAAANqYqg5l6eiUm5+eGld/Zqeoal+2UcdpbMzFg6/Niv+Mnxk/PWzrdKFPWFWnitI4cvSArMsAgA9MUA4AANAGfXnvIfGZ3TeN9uXrP27l3ZYsa4iv/vWZWFhbHwdv0yc+NLRHk9YIANBarHsVFwAAAFq9JMz+0W3j0+0KHyQkT3SsKI1P7NAv3b/m8YkfuEbaltr6hrjikQnx7JT5kcvlsi4HAD4QQTkAAECeW7qsIU656qm46tGJ8dW/Pt2kx05GuCTueentmF69pEmPTX574a3qOPeOF+MzVz2VdSkA8IEJygEAAPJYXX1jfPHasfHEhLnpvOjT9x3epMcftknn2GnTbtHQmIvrnpzSpMcmv42ZOC/djhrUNYqKzK8HIL8JygEAAPJUEl5/44Zxcf8rs6JdWXFccdKOsU3/qiY/zwnvdJVf/+TkWNbQ2OTHJz+NmbQ8KB89uGvWpQDAByYoBwAAyEONjbn4zk3PxT+fnx5lJUVx6fGj0s7v5rD/Vr2jR6eKeHtBbdz94sxmOQf5NZv8wntfiwdfmZVeHzWoeb53ANCSSlv0bAAAADSJ3979Svxt7NQoLoq48FPbx17DezXbucpLi+NTOw6Ie16aGRWl+q0K2aszF6Sjft6YtSi9fsBWvWP7AV2yLgsAPjBBOQAAQB762HZ948YxU+PMA7aIA7fp0+zn+9o+Q+Ob+w0zi7rA9exUEfMWL0v/hsEPPjYiPrZtH98JANqEolwul4sCV1NTE1VVVVFdXR2VlZVZlwMAALBeFtbWpwt4QnNJIoOHXpsdHx7aY2UgPnbSvBjSs1NUdSjLujwAClBNM2W5/s4cAABAnrjxqSnxxJtzVl7PIiRfVFsff31iciyuq2/xc9OyXn97YXzqD4/HiVc8Gf9+YcbK20cN6iokB6DN0XoAAACQB/4x7q048+bnorykOP75tT1iSK9OmdRx1GWPxfhpNVFSHHH0jgMzqYHmtXRZQ/zf/a/HJQ++EcsactGurDjmL16WdVkA0KwE5QAAAK3c3S/OjNNvfDaSwZlHju4fm/fsmFkth27XNw3Kr3l8Uhw1eoD51G3Mf1+fHd+/9YWYMHv5Yp0f2aJXnHPoVjGgW4esSwOAZmX0CgAAQCsPLr/816ejoTEXn9i+X5x76NaZhtNHjh4Q5aXF8cJbNfHs1OrM6qDp/fqul+O4Pz2RhuSbVFbEJcftEJefOFpIDkBByDQof+ihh+JjH/tY9O3bN/0PvVtvvXXlfcuWLYszzzwzttlmm+jYsWP6mE9/+tMxbdq01Y4xePDg9LmrXn7xi19k8GoAAACaVrJo4qlXj4m6+sbYf6tN4ldHbBvFxdl2cHfrWB6HbNMn3b/msUmZ1kLT2nWzHpF8vU7abXDcc/qeceA2ffyNAQAKRqZB+aJFi2K77baLiy+++D33LV68OJ5++uk4++yz0+3NN98cr7zyShx66KHveey5554b06dPX3n56le/2kKvAAAAoHm8MWthnHzlk7G4riH2GNojLjxm+yhNBoO3AsfvOijd3vHctJi3qC7rcthIr85cEP96fvrK6x8a2iMe/Pbe8aNDt4rO7SzWCUBhyXRG+YEHHphe1qSqqiruvvvu1W676KKLYqeddorJkyfHwIH/WzSmc+fO0bt372avFwAAoKUM6NohDS7frqmNy04YFRWlJdFabD+gS4zoUxkvTq+Jv4+dGqd+eLOsS2IDLKlriAvvey3++NCb6RidkQO6RN8u7dP7jFkBoFC1jnaE9VRdXZ3+ta8uXbqsdnsyaqV79+6x/fbbx69//euor69/3+PU1tZGTU3NahcAAIDWJAkwL/zU9nHVZ3aKDuWZ9ji9R/LnshN2HRTJVI4p8xZnXQ4b4IFX3o79zn8wLnngjahvzMWHhvSIkozH+QBAa9C6/mvrfSxdujSdWX7MMcdEZWXlytu/9rWvxQ477BDdunWLRx99NM4666x0/Mrvfve7tR7r5z//eZxzzjktVDkAAMD6ebtmadw4Zkp8aa8h6SzyZNRKp1YybuXdPj6ybxqy6kDOn+/WOXe8GP98bvmolb5V7dIRK/tt5W9nA0CiKJfL5VpLR8Itt9wShx122HvuSxb2/OQnPxlTp06NBx54YLWg/N2uuOKK+PznPx8LFy6MioqKtXaUJ5cVko7yAQMGpB3r73dsAACA5jJ/cV0cfdnj8crMBfGlvTaPMw7YIuuSaCMW1tbHHr+8L+YtXpZ2j5+82+D4xr7DomNF3vTOAcBqWW4ytrups9xW/2/FJCQ/6qijYtKkSXHfffet88XvvPPO6eiViRMnxvDhw9f4mCRAX1uIDgAAFIYpcxfHQ6/Niu4dK6J7p/Lo1rE8enSsiMr2pWkjT0sHmSde8WQakvfqXBGf2vF/azLlg6nzFkf7spLo3smfs1qjThWlcdSOA+LxN+fGzw7fOrbqW5V1SQDQ6pTmQ0j+2muvxf3335/OIV+XcePGRXFxcfTq1atFagQAAPLTs1Pnx/dueeE9t5cWF0XXjuXxo49tFQdv2ye97c1ZC9ORFd06lUf3juVpIJwE68l+ZbuydEzKxlq6rCFOueqpeHZqdXTtUBZ/+ezOMbB7/owz+d1/XomL7n89vrL3kDh9vzU3K9GyFtXWxwX3vhaHjewXI/oubzY7fd9hUVpcbB45ALTGoDwZj/L666+vvD5hwoQ06E7mjffp0yeOOOKIePrpp+OOO+6IhoaGmDFjRvq45P7y8vJ47LHH4oknnoi99947OnfunF7/xje+Eccff3x07do1w1cGAAC0Rq+/vSAW1TbEpj07RrcO5fHRLXvFnEV1MTe5LKyLBbX16QKHsxbUxqqjwcdPq4nf3v3qGo+ZBI+/+uS28clR/dPrr8xYENc9OXl5kP5OsN7tna71dwfrdfWN8cVrx8YTE+amXb9Xf2bnGLpJ58gnw3p3jsZcxHVPTYmv7jM0ylrpTPVCcc+LM+OHt42Pt+YviScnzI2bv7hb+n2rKC3JujQAaNUyDcrHjBmThtwrnH766en2xBNPjB/96Edx2223pddHjhy52vOS7vK99torHZ9y/fXXp49NZo5vuummaVC+4jgAAACr+uNDE+KGMVPi6x8dGl//6LDYbUiP1e6vrW9IQ/M5C+tiQNf/dXX37dI+jh494J1QvXb59p1gvaExt9qs52R8ylWPTlxrDT87fJs4duflo1VueWZq3P/KrGhXVhxXnLRjbNM//0Zi7Deid/TsXJH+uPCf8TNXduHTsqZXL4lzbnsx7hy/vMGsf9f2cdo+Qz/Q33YAgEKSaVCehN3vt5boutYZ3WGHHeLxxx9vhsoAAIC2aOKcRel20FpGmyRdt32q2qeXVY0a1DW9vNuKYL2qfdnK2zbv2TFdjDMJ21cE62n4vqguFiytTzvLV2hXVhJlJUVx2QmjY6dNu0U+Ki8tjk/tOCB+f9/rcc3jEwXlLSz5oebqxybGb+56JRbVNaSjgz67x2ZpSN6+XBc5ALSJGeUAAABNafLcxel2UPeOTXK8FcH6qpKFEte2WGISrBfF/zp8t+5XFXd9/cOxWc9Okc+O2WlgXHz/6+likcl4myG98mt8TD677dm34pzbX0z3dxjYJX72iW1ii97L55IDAOvP8DgAAKAgJItmzqhZmu4P6pbNYplJsJ50YK+wec9OeR+SrxhNs8+Wm6T71z4+OetyCsqh2/WLPYb2SEf6/P0LuwnJAWAjCcoBAICCMHXe4kimOyaLZiYLbdK0TthlULq9a/yMdBwITS8ZT3rnC9Pj6MseS3/4WbGY7NWf2Smde28eOQBsPKNXAACAgjBx9oqxKx2iqEig2NQ+NKRH/ObI7eKArXun4S1N/0PPD/8xPu59+e30erJg7Bf23Dzd930GgA9OUA4AABSESSvnk2czdqWtS7qZjxjVP+sy2pxlDY1xxSMT4vx7XoslyxrSxV+TgPyk3QZnXRoAtCmCcgAAoCDsPqR7nH3IiBiY0XzyQhsRsnRZY7QvL8m6lLz29OR58d2bn4+XZyxIr++0abf42eFbWywVAJqBoBwAACgIySKHFjpsfo++MTvOvf3FGNG3Mn531Misy8lr/3f/G2lI3qVDWXz3oC3jyFH9jVkBgGYiKAcAAKDJtC8rScPdN2cvirMPHhFdLZy6QZ34tfWN0a5seSf+jw4dET06lce39x8e3TtVZF0eALRpxVkXAAAA0NwaGnNxx3PT4vmp1dHYmMu6nDZt5IAusXW/yqirb4y/jZ2SdTl5Y/KcxXHilU/F9255YeVt/bt2iF98clshOQC0AEE5AADQ5k2bvyS+8tdn4pOXPBpi8uaVjAY5fudB6f5fnpjsh4l1SH5QuPj+12Pf8x6Mh16dFbc/Ny39vgIALUtQDgAAtHmT5y5Ot/27tY+SYjOem9uhI/tG53alMWnO4nj49dlZl9NqPTVxbhx84cPx67teSUeu7LZ597jztD2ib5f2WZcGAAXHjHIAAKDNSwLbxKBuHbIupSB0KC+NT+7QP656dGJc89ik2HNYz6xLalWqlyyLn//rpbj+qeWjabp3LI/vH7JlHDayn8U6ASAjOsoBAIA2b9KcRel2UPeOWZdSMI7fZfn4lftenmmUyBrc89Lb6fZTOw6Ie7+5Zxy+fX8hOQBkSEc5AABQOB3l3XWUt5QhvTrFV/YeEqMGd43ele2i0L01f0n0rWqXhuFV7cvi10dsG53alcaOg7tlXRoAICgHAAAKwcSVHeWC8pb0rf2HR6GrrW+ISx54I/7v/jfi10duGx8f2S+9fe8temVdGgCwCkE5AADQpuVyuZWLeQ7sZvQKLeexN+bE9259Pt6ctfyHmgdfmbUyKAcAWhdBOQAA0KY15iLOP3pkGpYP6NY+63IKzpyFtXHFfyfExNmL4+LjdohCMHdRXfz0ny/FTU9PTa/37FwRPzhkRByybZ+sSwMA1kJQDgAAtGklxUWx31a9sy6jYNU1NMalD74ZDY25+PrMBTF0k87Rlt01fkacedNzMX/xskjW5jxu54Hx7f23SOeSAwCtV3HWBQAAANB29alqH/u8M4/72scnRVvXpX1ZGpJv0btz3PTF3eInh20jJAeAPCAoBwAA2rSnJs6Nfz0/PabOWz6nnJZ3wq6D0u3NT78Vi2rroy1Zuqwh/Y6tsPNm3ePKk3eM27/6odhhYNdMawMA1p+gHAAAaNP+8vik+NJfno7bn52edSkFa/fNe8Tg7h1iQW19/GPctGgrHn5tVux//kPx6cufjCnvLBib2Ht4rygr8cdtAMgn/s0NAAC0aZPeCTAHde+QdSkFq7i4KI7bedDK8Su5XC7y2awFtXHa9c/ECZc/GZPmLI7K9qUxo2Zp1mUBAB+AoBwAAGjTkiAzISjP1hGj+kdFaXG8OL0mnp48P/JRY2Mu/vLEpNjntw+knfHFRREn7TY47jl9z9hxcLesywMAPoDSD/JkAACA1mzB0mUxd1Fduj+oe8esyyloXTuWxzE7DYyGxlz07FQR+RiSH/unx+PxN5fPI9+6X2X87PBtYtv+XbIuDQBoAoJyAACgzXeTd+9YHp0q/PEnaz86dKvI5/ExSdf481Or45v7DY9P7zooSs0hB4A2w38pAgAAbT4oH2jsChvh/pffjp6dK2LrflXp9S/vPSSO3Xlg9Klqn3VpAEAT8/M3AADQZk2auyjdDuomKG8tkoU8x06aG+fcPj4dZ9IazaxZGl/+y9Nx8lVPxXdufi7qGxrT29uVlQjJAaCN0lEOAAC0WR8f2S8269EpenQqz7oU3lFb3xgnX/lU1Cytjz2H9Yy9hveK1qLhncU6f33nK7Ggtj5Kioti1826R31jLkpLsq4OAGhOgnIAAKDN6telfXqh9Ui6sj85qn9c+d+Jce3jk1pNUD5+WnV89+bn49mp1en17QZ0iZ8dvnVs1Xf52BUAoG0TlAMAANCijt9lUBqU3/fy2zF13uLo3zXb0ThjJ82Loy57LO0o71xRGmccMDyO3XlQ2lEOABQGM8oBAIA2qba+IS598I2484XpaQBK67F5z06x2+bdI/lYrntyctblxPYDusS2/avi4G37xD3f3DNO2HWwkBwACoygHAAAaJOmzF0Sv/j3y/HNG58NmWfr7CpP3PDUlKirX75YZkuZNn9JfPeW52NxXX16vbi4KP7y2Z3j4mN3iE0q27VoLQBA6yAoBwAA2qTJcxel24HdO0ZRkaS8tdl3xCbRq3NFzF5YF3eOn9Ei56xvaIzLH5kQ+/7uwfjrE5PjgnteW3lfh3KTSQGgkPkvAQAAoE2aOHtxuh3cPdv516xZWUlxfGqngXHLM1Nb5HzPTZ0fZ938fIyfVpNeHzWoa3xih/4tcm4AoPUTlAMAAG3S5LnLg/KBgvJW64t7bh6n7TO0WeeBL1i6LH77n1fj6scmpjPRK9uVxlkHbRlHjx6QjlwBAEgIygEAgDZp4pzlo1cGdeuYdSmsRfvykmY/x8/+9VJc9+SUdP+wkX3jewePiJ6dK5r9vABAfhGUAwAAbdLkOcs7ygfpKG/1ausb4s4XZsQ+W24SnSqa9o+pX9tnaDw3tTq+c+AWscfQnk16bACg7bCYJwAA0OY0NOZiyjxBeb444U9PxmnXj4t/jHvrAx1nWUNjXPbgG3HWzc+tvK1PVfu446sfEpIDAO9LRzkAANDmJJOnb/3y7mlXeRKU0rrtt9Um8eTEuXHNY5Pi2J0GRlHRhs8OHztpXnzvlufj5RkL0utHjh4QOwzsmu5vzPEAgMKioxwAAGhzkkUat+pbFQdu06dZF4qkaRw5akC0KytOQ+6nJ8/boOdWL1mWBuRHXPpo+vyuHcri10dsG9sP6NJs9QIAbY+OcgAAADJV1aEsPrZt3/jb2Klx7eOTY9Sgbut8Ti6Xi9uenRY/vuOlmL2wNr3tiFH947sHbRndOpa3QNUAQFuioxwAAGhz7ho/I/7w0Bvx4rSarEthPR2/y6B0+8/npsecd4Lv97O4riF+9q/lIflmPTvGdafuEr85cjshOQCwUQTlAABAm3PrM2/Fz/71cjz+5pysS2E9bTegS2zbvyrqGhrTzvI1qatvTDvJEx0rSuOcQ7eO0/cdFv8+bY/YdfPuLVwxANCWCMoBAIA2Z+Kcxel2cI8OWZfCBjh+5+Vd5a+8syDnqp6cMDcOvvDh+PsqIfoBW/eOr+0zNCpKS1q0TgCg7TGjHAAAaFOSjuPJcxal+wO7dcy6HDbAx7brm3aWD+/deeVt8xbVxS/+/XLcMGZKev2yh96MT+7QP12wFQCgqQjKAQCANmXOorpYVNcQRUURA7q1z7ocNkD78pKVIXnyg8fNT78VP/3XSzF3UV162zE7DYgzD9hCSA4ANDlBOQAA0KZMemfsSp/KdkZy5KmGxlx86S9j467xM9PrwzbpFD89fJvYcXC3rEsDANooQTkAANCmTJ67fOzKoO7GruSrPz38Ztz/8qxIGse/tf/w+OyHNovyUktsAQDNR1AOAAC0KRNnL+8oH9TdQp756tCRfWNZQ2Mcul2/GOhzBABaQFEuGfxW4GpqaqKqqiqqq6ujsrIy63IAAIAPYGFtfUycvSjalZXEkF6dsi4HAIA8yHJ1lAMAAG1Kp4rS2LpfVdZlAACQRwx5AwAAAACgoAnKAQCANmNRbX2cfesL6WKQjY0FP2USAID1JCgHAADajIlzFsU1j0+KSx54I4qLi7IuBwCAPCEoBwAA2oxJcxan24HdO2RdCgAAeURQDgAAtLmgfFA3QTkAAOtPUA4AALQZk+cuSrcDu3fMuhQAAPKIoBwAAGhzHeWDjV4BAGADCMoBAIC2N3pFUA4AwAYQlAMAAG1CXX1jTKteku4P7Gb0CgAA6690Ax4LAADQapWXFse4s/eLSXMXRY9O5VmXAwBAHhGUAwAAbUZVh7LYtkOXrMsAACDPGL0CAAAAAEBB01EOAAC0CX99YnK8OnNBHLxtn9hxcLesywEAII/oKAcAANqEu1+cEVc9OjFem7kw61IAAMgzgnIAAKBNmDR3cbod1L1D1qUAAJBnBOUAAEDea2jMxdS5S9L9gd0E5QAAbBhBOQAAkPdm1CyNuobGKCspir5d2mddDgAAeUZQDgAA5L1Jcxal2wFdO0RJcVHW5QAAkGcE5QAAQN6bNGf5fPKB5pMDALARBOUAAEDemzZ/+XzyQeaTAwCwEUo35kkAAACtyen7DovP7L5p1Dfmsi4FAIA8JCgHAADyXlFRUXTtWJ51GQAA5CmjVwAAAAAAKGiCcgAAIK/NXVQXn7nqqTj39hcjlzN6BQCADScoBwAA8tqE2Yvivpffjn+/MD0dwQIAABtKUA4AAOS1yXMXpduB3TpkXQoAAHlKUA4AAOS1SXMWp9vB3TtmXQoAAHlKUA4AAOS1ye8E5QO76ygHAGDjCMoBAIC8NnHO8tErOsoBANhYgnIAACCvTZ67vKN8kI5yAAA2kqAcAADIW0uXNcTSZY3pvtErAABsrNKNfiYAAEDG2pWVxPM/2i/mLqqLynZlWZcDAECe0lEOAADktaKioujeqSLrMgAAyGOCcgAAAAAACpqgHAAAyFsX3PNafPbPT8X9r7yddSkAAOQxQTkAAJC3npgwJ+556e2Ys7Au61IAAMhjgnIAACBvTZqzON0O7t4h61IAAMhjgnIAACAv1dY3xPTqJen+QEE5AAAfgKAcAADIS1PnLYnGXESH8pLo2aki63IAAMhjgnIAACAvTX5n7MrAbh2iqKgo63IAAMhjgnIAACAvTZqzKN0OMnYFAIAPSFAOAADkpSXLGtOxK4O6d8y6FAAA8lxRLpfLRYGrqamJqqqqqK6ujsrKyqzLAQAA1lPyx5m6hsaoKC3JuhQAAPI4y92ojvL6+vq455574rLLLosFCxakt02bNi0WLlzYZIUBAACsSzKbXEgOAMAHVbqhT5g0aVIccMABMXny5KitrY199903OnfuHL/85S/T65deeukHLgoAAAAAAFrKBneUn3baaTF69OiYN29etG/ffuXthx9+eNx7771NXR8AAMB7TK9eEvuf91B8+S9Pp+NXAACgRTvKH3744Xj00UejvLx8tdsHDx4cb7311gcqBgAAYH1MmL0oXpm5IJ1PnoxfAQCAFu0ob2xsjIaGhvfcPnXq1HQECwAAQHObPGdxuh3YrUPWpQAAUIhB+X777Rfnn3/+yutJ90ayiOcPf/jDOOigg5q6PgAAgPeY+E5QPqi7oBwAgAxGr/z2t7+N/fffP0aMGBFLly6NY489Nl577bXo0aNHXHfddU1QEgAAwPubPHdRuh3UvWPWpQAAUIhBef/+/ePZZ5+NG264Id0m3eSnnHJKHHfccast7gkAANBcJq3oKDd6BQCALILy9EmlpWkwnlwAAABaUi6XWzmj3OgVAAAymVH+85//PK644or33J7c9stf/rJJigIAAFibxXUN0a9r++hQXhIDdJQDAJBFUH7ZZZfFFlts8Z7bt9pqq7j00kuboiYAAIC16lhRGnd+/cMx/pz9o11ZSdblAABQiEH5jBkzok+fPu+5vWfPnjF9+vSmqgsAAOB9FRUVZV0CAACFGpQPGDAg/vvf/77n9uS2vn37NlVdAAAAAADQOhfzPPXUU+PrX/96LFu2LD7ykY+kt917771xxhlnxDe/+c3mqBEAAGCls299IZ6aODdO22doHLjNe/+2KwAANHtQ/u1vfzvmzJkTX/rSl6Kuri69rV27dnHmmWfGWWedtcEFAAAAbIiXptfEyzMWREMul3UpAAAUalCezAH85S9/GWeffXa89NJL0b59+xg6dGhUVFQ0T4UAAACrmDhncbod1K1j1qUAAFCoQfkKnTp1ih133LFpqwEAAHgfi2rrY/bC2nR/YPcOWZcDAEAhBeWf+MQn4qqrrorKysp0//3cfPPNTVUbAADAaibPXd5N3qVDWVS1L8u6HAAACikor6qqSkeurNgHAADIwqQ5i9LtoG66yQEAaOGg/Morr0y3uVwuzjnnnOjZs2c6mxwAAKAlTVoxn7y7+eQAADSd4g15cBKUDxkyJKZOndqEJQAAAKyfDuUlMbRXpxi2SaesSwEAoFAX8ywuLo6hQ4fGnDlz0i0AAEBLOmHXwekFAAAy6yhP/OIXv4hvf/vb8cILLzRpIQAAAAAAkIWiXDJPZQN07do1Fi9eHPX19VFeXv6eWeVz586NfFNTU5MuUlpdXR2VlZVZlwMAAKzBij+6FBUVZV0KAABtLMvdoNErifPOO89/mAIAAC1u4pzF8bHfPxJb9ukcf/vCblmXAwBAG7LBQfkxxxyTdpN37GiVeQAAoOVMnLMoFtbWx4Kl9VmXAgBAoc4onzVrVhx44IHRqVOntKV9l112iddff715qwMAAHjH5DmL0+3Abh2yLgUAgEINys8888wYN25cnHvuufGb3/wm5s+fH6eeemrzVgcAAPCOSe8E5YO6C8oBAMho9Mrdd98dV111Vey///7p9UMOOSS23HLLqK2tjYqKiiYuCwAAYHWT5ixKtwO7GwMJAEBGHeXTpk2L7bbbbuX1oUOHpgH59OnTm7gkAACA95o0952OcqNXAADIKihPlJSUvOd6Lpdr6poAAABW09iYi8nvBOWDdZQDAJDV6JUkEB82bFgUFRWtvG3hwoWx/fbbR3Hx//L2uXPnNnWNAABAgVtUVx8fGtIjps5bHH27tMu6HAAACjUov/LKK5u3EgAAgLXo3K4srjhpx6zLAACg0IPyE088sXkrAQAAAACA1j6jHAAAIAu19Q3WRwIAoNkIygEAgFbv9BufjW3P+U/c8szUrEsBAKANEpQDAACt3qQ5i2LB0vroVFGWdSkAALRBgnIAAKBVS0auTJqzON0f1L1D1uUAANAGCcoBAIBWbf7iZWk3eWJgN0E5AABNr3R9HnT66aev9wF/97vffZB6AAAAVjNxzqJ0u0llRbQrK8m6HAAACjUof+aZZ1a7/vTTT0d9fX0MHz48vf7qq69GSUlJjBo1qnmqBAAACtbkuSvGrnTMuhQAAAo5KL///vtX6xjv3Llz/PnPf46uXbumt82bNy9OPvnk2GOPPZqvUgAAoCBNnP1OUG7sCgAArWVG+W9/+9v4+c9/vjIkTyT7P/nJT9L7AAAAmtLA7u1jr+E9Y/uB//szCAAAtHhH+apqampi1qxZ77k9uW3BggVNVRcAAEDq8O37pxcAAGg1HeWHH354Ombl5ptvjqlTp6aXm266KU455ZT4xCc+0TxVAgAAAABAa+kov/TSS+Nb3/pWHHvssbFs2bLlByktTYPyX//6181RIwAAUKDqGxpjUW1DVHUoy7oUAADasKJcLpfbmCcuWrQo3njjjXR/8803j44d83cF+mScTFVVVVRXV0dlZWXW5QAAAO94aXpNHHjBwzG4e4d44Nt7Z10OAABtNMvd4NErK0yfPj29DB06NA3JNzJvBwAAWKtJcxan26r2OsoBAGg+GxyUz5kzJ/bZZ58YNmxYHHTQQWlYnkhGr3zzm99sjhoBAFrcrAW1cerVY+KQ3z8cC5YuHzcHtLzJcxel24Hd8/dvsAIA0AaD8m984xtRVlYWkydPjg4dOqy8/eijj44777yzqesDAGhxj70xJw668OG4+8WZ8cJbNfGf8TOzLgmi0DvKB3X73589AAAg88U8//Of/8Rdd90V/fv3X+32ZATLpEmTmrI2AIBMQvLj/vR4NOYiykuLo66+Mf79woz45KjV/9sHaBmT574TlHcXlAMA0Io6ypNFPFftJF9h7ty5UVFR0VR1AQBkYsfBXWP04G5x5Kj+cf3ndklve+i1WbGwtj7r0qAgTZyzfPTKIKNXAABoTUH5HnvsEVdfffXK60VFRdHY2Bi/+tWv4v/Zuw/oquqsjcNvOklIIaGXhN57R7AgSrNiRRQVFceCbcYZxxk/u+M49l5QwQbYsKGISJHee+8JLbSEVNLzrf85KaCiCeTm3PJ7XHfdkpBsIeXe9+yzd//+bKEHAACeZ3lCinLyC6zbgQH++vCmnnr2yk7q0ihaTWuGq03dCCWlZjtdJuBz8goKte+o/b1HRzkAAADcavSKCcTNMs9ly5YpNzdX//jHP7R+/Xqro3z+/PmuqRIAAMAFCgqL9NrMbXp5xhZd36exHr24nfV4taCA0oaAKXf3U1hwhZ8yAagE2XkFurZXnPamHFPtCM5eBQAAgOtU+FVf+/bttWXLFr322muKiIhQRkaGLrvsMt15552qV6+ea6oEAACoZIfSc3Tvpys1f9sR635Wbr4KC4vk7+93wvsRkgPOiagWpMcvae90GQAAAPABfkVFRUXycWlpaYqKilJqaqoiIyOdLgcAALjYgu2Hdc+kVVZYHhoUoCcvbf+nyzrTsvOUkZ2v+tGhVVYnAAAAAKBqstwKzygfN26cPv/88988bh774IMPKqsuAAAAl4xaefnnrbru3cVWSN6yTnV9d1ffPw3JP1mcoG5PTNdz0zZXWa0AZO0GMAepAAAAAFercFD+9NNPq2bNmr95vHbt2vrPf/5TWXUBAABUuoPp2Xp33g4VFklXdW+ob+7sp+a1I/70z7WoHaG8giJN33hAufmFVVIrAOmhr9eq46M/adKSRKdLAQAAgJer8NDNxMRENWnS5DePx8fHW28DAABwV/WiQvXclZ2sESp/1kV+vG7xNVSzeogOZ+RYY1vOaVXbpXUCsCUcybKuGXkEAAAAt+soN53ja9as+c3jq1evVmxsbGXVBQAAUGmjVmZvPlj62KB2dSsUkhsB/n4a1K6OdXva+qRKrxPAb5nluonJdlAeHxvmdDkAAADwchUOyq+55hrdfffdmjVrlgoKCqzLzJkzdc8992j48OGuqRIAAOAUxqyMfG+xXvx5i/762WqlZp3enOPB7eta1z+tP2AF8ABc62B6jnLyCxXo76cGdJQDAADA3UavPPHEE9q1a5cGDBigwED7jxcWFur6669nRjkAAHALC7Yd1t2TVlmjUkKDAvTQBW0UFRZ0Wh+zd9NYRYUG6UhmrpbsTFafZpxJB7jSriOZ1nWDGqEKDKhwfw8AAADg2qA8ODhYn376qRWYm3EroaGh6tChgzWjHAAAwEmm0/vVmVv18oytKiqSWtWJ0OvXdinXws4/ExTgr/Pb1tEXy/fox3X7CcoBF0ssnk8eF8PYFQAAALhhUF6iZcuW1gUAAMAdZOcV6KbxS7Vg+xHr/tXdG+nRi9spNDig0j7HNT3j1KFBlAYWzysH4DoJyXZHOfPJAQAA4JZBuZlJPn78eM2YMUMHDx60xq4cz8wrBwAAqGrVggKsOcZhwQF6alh7DetSsYWd5dEtvoZ1AeB65nvtut5x6tusptOlAAAAwAf4FRWZE5PLb8yYMVZQfsEFF6hevXry8/M74e0vvviiPE1aWpqioqKUmpqqyMhIp8sBAAAVGLWSlZuviGr2/PFjuQXal3pMzWpVd7o0AAAAAIAHZbkV7iifNGmSPvvsMw0dOrTSigAAAKiog+nZunfSKmt2+Lgbe8jf388as+LqkNyE8V+t3KvlCSl67sqOv2kaAAAAAAB4Hv9TWebZvHlz11QDAABQDvO3HdbQl+dZ88iX7krW1oMZVfa5i1Skx6es15cr9mjD/rQq+7yAr+0cWL8vVRk5+U6XAgAAAB9R4aD8b3/7m15++WVVcGILAABApYxaeWH6Fl333mIdzshRqzoR+nZMP7WqG1FlNYQFB+rslrWs2z+uS6qyzwv4kk1J6brglXk697nZTpcCAAAAH1Hh0Svz5s3TrFmzNHXqVLVr105BQfZM0BKTJ0+uzPoAAAAsB9Oydc+kVVq444h1f3iPRnrkonbWuJWqNqR9PU1bf8AKyv82sFWVf37A2yUcybSuG8eGO10KAAAAfESFg/Lo6GgNGzbMNdUAAAD8DnMm2+2frLDmgocFB+g/wzro0i4NHKunf+vaCgrws0a+bDuYoea1WR4KVKbEI1nWdVxsmNOlAAAAwEdUOCgfN26cayoBAAA4CbMw89GL2unfX6/Vi1d3dvnCzj8TFRqkvs1ravbmQ/px3X6NObeFo/UA3mZXcVAeH0NQDgAAADedUW7k5+fr559/1ttvv6309HTrsX379ikjo+oWaQEAAO8ftfLT+rIZ4B0aRumbO/s6HpKXGNK+rnU9lTnlQKVLTLZHr8TXZPQKAAAA3DQoT0hIUIcOHXTJJZfozjvv1KFDh6zHn3nmGd1///2uqBEAAPiYeVsPa+grczVmwkqt25t6Qme5uzi/bV0FB/hb3eXZeQVOlwN4lQQ6ygEAAODuo1fuuecede/eXatXr1ZsbGzp42Zu+ejRoyu7PgAA4ENM4PzazG16ffY2FRVJretGOLKsszxiwoO14uHzVT2kwk+nAPyBY7kFOpieY92OZ0Y5AAAAqkiFX9nNnTtXCxYsUHBw8AmPN27cWHv37q3M2gAAgA+ZuemAHvtuQ2kn6TU94/TIRW1VLcg9g3KDkByofAVFRfrnkNZKSs1WdNiJrzkAAAAAV6nwq7vCwkIVFPz29OI9e/YoIiKisuoCAAA+5N5JK/X1qn3W7doRIXr4ora6sGN9edI89ZCgAGsMC4DTPwB129nNnC4DAAAAPqbCM8oHDhyol1566YRZoWaJ5yOPPKKhQ4dWdn0AAMAHtG8QpUB/P/3lrKaaef85HhWS/9/X69Tr6Rn6eiVn1gEAAACAz3SUP/fccxo8eLDatm2r7OxsjRgxQlu3blXNmjU1ceJE11QJAAC8RlFRkaatP2B1X/dpZu87ueGMxurfuraa1aouTxMXE2bNU5+6br/1/wHg9GzYlyazt7dJzXC3Hr0EAAAA7+JXZF6tVlB+fr4+/fRTa6Gn6Sbv2rWrrr32WoWGhsoTpaWlKSoqSqmpqYqMjHS6HAAAvNb2Qxl69Nv1mrv1sJrWDNeP956l4MAKn+DmVnYnZ+nM/82Sv5+09N/nKbZ6iNMlAR5t5HuLrZ8R/7u8o67q0cjpcgAAAOAjWW6FOsrz8vLUunVrTZkyxQrGzQUAAODPZObk65WZW/X+vJ3KKyhScIC/hnaop8KKH693O41iwtS+QaTW7U3T9A0HNLxnnNMlAR6tZKFvfGyY06UAAADAh1QoKA8KCrLGrQAAAJSHOXHtuzX79dT3G3QgLcd6rH+rWnrkonZqXDNc3mJI+3pWUD51XRJBOXAa8goKtffoMet2fKz3/IwAAACA+6vwuc533nmnnnnmGWv8CgAAwB9ZuP2I7p640grJG8WE6t3ru+v9G3t4VUhuDG5f17pesP2wUo/lOV0O4LH2phxTQWGRQgL9VTuCMUYAAABw42WeS5cu1YwZM/TTTz+pQ4cOCg8/8YXu5MmTK7M+AADggV3kfmYTn2Qt6zy/bR11aBClW89q6rWL+cwS0pZ1qmvLgQzN2HhAl3Vt6HRJgEdKSC4bu+JvBv8DAAAA7hqUR0dH6/LLL3dNNQAAwGMVFhZp8sq9evuX7frsL31UIzzYCszfGdmtNDj3Znf2b27NXx/Quo7TpQAeK/FIpnUdF+NdZ50AAADAC4PycePGuaYSAADgsdbtTdUj367X8oQU6/7783fqbwNbWbd9ISQ3LuncwOkSAK9Z5NmYRZ4AAABw96DcMPPJZ8+ere3bt2vEiBGKiIjQvn37FBkZqerVq1d+lQAAwC0dzcrVcz9t1oTFiSosksKCA3TXuS10c78mTpcGwEPn/cdUD1bnRtFOlwIAAAAfU+GgPCEhQYMHD1ZiYqJycnJ0/vnnW0G5WfBp7r/11luuqRQAALiVT5cm6r9TNykly15eeWHHevr3BW1ULypUvupQeo6+WrlHWbkFuve8lk6XA3ic7o1jrAsAAABQ1fwr+gfuuecede/eXSkpKQoNLXshPGzYMGvJJwAA8A2rdqdaIblZYjlhdC+9NqKrT4fkxp6ULP3nh00aO2eHsvMKnC4HAAAAAOCqjvK5c+dqwYIFCg4OPuHxxo0ba+/evRX9cAAAwEMcychRdn6hGkTbYfg/BrWyQvLrescrKKDCx969UqeG0aoXVU37U7M1b+thndeWxZ5AeaVl52nR9iNqUjNcLepEOF0OAAAAfEyFX9UWFhaqoOC3HVJ79uyxRrAAAADvkl9QqA8W7FL/52brwclrVVRUZD1eIzxYo/o2ISQ/jr+/nwa1q2vdnrouyelyAI+ycV+abv1ouW7+YJnTpQAAAMAHVfiV7cCBA/XSSy+V3vfz81NGRoYeeeQRDR06tLLrAwAADlq6K1kXvTZfj3y7XmnZ+TqcnqO0Y/lOl+X2ywiNnzceUF5BodPlAB4jITnLuo6PDXO6FAAAAPigCo9eef755zVo0CC1bdtW2dnZGjFihLZu3aqaNWtq4sSJrqkSAABUqYNp2Xp66iZ9tdIeqxYVGqT7B7XSiJ5xCvD3c7o8t9ajcYxqVg/W4YxcLdx+RGe1rOV0SYBHSDiSaV3HxRCUAwAAwAOC8oYNG2r16tX69NNPrWvTTX7zzTfr2muvPWG5JwAA8Eyrdh/Vde8uVkZOvvz8pOE9Gunvg1orJvzE/ST4feZAwvlt62rikkT9uD6JoBwop4Qjdkd549hwp0sBAACADypXUN61a1fNmDFDNWrU0OOPP67777/fCsbNBQAAeJc29SJUKyJEzWpX1+MXt1OnRtFOl+RxhrSvq8kr9pTOcwfw5xKLR6/EMXoFAAAADvArKscrONMpbsarmG7ygIAA7d+/X7Vr15a3SEtLU1RUlFJTUxUZGel0OQAAVKl9R4/p/Xk79cCQ1qWLOfenHlOdiGrWckqc2gLU3IJChQVX+OQ9j5GalaeosCCny4AX6fTYT0o9lqcf7z1TrevynBwAAABVm+WW69Vb586dNWrUKPXr18/qjHruuedUvXr1333fhx9+uNKKAwAArpOTX6B35+7UazO36VhegepFh+rmfk2st9WLYpza6QgM8Lcu3sp0y9//+WoNbFtXr1zTRcGB3vv/iqpxNCvXCskNZpQDAADACeUKysePH69HHnlEU6ZMkZ+fn6ZOnarAwN/+UfM2gnIAANzfrM0H9di367WreCZw9/ga6t00xumyvHZBoQn+zPMkb7H9UIYKi2TNYL/94+V647quCgkMcLoseDBzsOW1EV2UlJrt1WdiAAAAwMNHrxzP399fSUlJjF4BAMAD7U7O0uNTNmj6hgPWfTOL/F9DW+vSzg28Ksh1B+Yp1pVvLdSyhBR9fWdfdfayWe9mXM9/ftio/MIindOqlt66rpuqBRGWAwAAAPDMLNe/vMs8U1JSrNums/xkY1cAAIB7e+jrdVZIHuDvp1v6NdHMv52tYV0aEpK7gPk7rRtVzbo9dd1+eZub+jXRBzf1VLUgf83efEi3frRc2XkFTpcFAAAAAK4Lyjdu3KjMzEzr9uOPP66MjIxT+2wAAKDKu5rzCgpL7/9raBud2aKmpt5zph66sK0iqrGM0ZWGtK9nXU9bl2T9W3i6F6dv0ZYD6aX3+zavqfdv7KHQoADN2XJId09c6Wh98Fzm6+fnDQd0KD3H6VIAAADgo1jmCQCAl9pxKEOPfbdBTWuF65GL2lmPtaoboY9u7uV0aT7DjCQJCfS3ZsFvSkpXm3qeO+Jt9uaDennGVr31y3YtfHCAYsKDrcfPaFZT40f10J0TVlhd5sCpMEuFl+xK1svDO+uSzg2cLgcAAAA+iGWeAODFjmTkWDODw0NYjOZLsnLz9erMbXp37g7lFRRpyc5k3XVui9JgE1XHfO+d1bKWNe5m6rokjw3KzVkJT0zZYN2+rnf8b76WejWN1Zx/9GcJI05ZQrJ99mp8bLjTpQAAAMBHlevVTKtWrTRp0qTSZZ4zZszwqmWeAOANzDiEb1ft01/Pbyl/f3ve9LPTNmvS0t1qWCNULWpXV8s6EWphLrWrq3nt6gToXsac9fX92v166vuN2p+abT12dstaeuSitoTkDhrSvq4VlP+4br/1/emJPlqYoO2HMq2vo7sHtPjd9zk+JN+clG6NaXn+qk78nMGfOpZboANp9siVxrFhTpcDAAAAH1XhVy6FhWVzTgEAziooLNKMjQc0fsEuLdh+xHqsR5MYKxw1DqTZYemelGPWZdbmQ6V/1uxuXP/YoNJwa2Viivz9/AjQPdTu5Cw98OWa0q8Dc3DEjFs5r01tFnU6bECbOgoK8NOWAxnafihDzWp51lL05MxcvfTzFuv23wa2VFToH8+1zy8o1O0fL9eOw5k6/H6Oxt/UU9X5mYI/kJicZV1HVgtUdBgH9QAAAOCMcr1q+fbbbzVkyBAFBQVZt//IxRdfXFm1AQBOIjUrT58uS9SHCxOsANwwTeSD2tVVzeplIcO4UT2tkGvrgXRtOZihbeb6QIa2HkxXSGDACR2g//txsxbusEPWBtGhalmnemn3ubnu1DCKwNWNmRE7a/ekWvOwbz+nmW47u5n1GJxnguX7B7ZS45rh1veWpzGd4WnZ+WpdN0LDe8T96fsHBvjrxas7a+R7i7UsIUXXv7dYH9zUk8WxOKmEI4xdAQAAgPP8isx52n/CjFtJSkqyxq2Y2yf9YH5+KigokKdJS0tTVFSUUlNTFRnpmbNDAfiOnYczNfTluTqWZ/+8jQ4L0jU946y5wRUJ4TJz8k/oHDeL+BbvSNbhDPv09+PVrB6iZQ+dV3p/0pJEBfj7lQbpdKBXPfPr23SP921es/Qxc3aBGa/TKIbRBagc5iDboJfmqLBImji6t/o0iy33nzUHbq57b7FSj+Wpc6NofXhzT0USluN3mH0KT36/URd2rKfXRnR1uhwAAAD4aJYbWNFxK4xeAYCqH69ixjWYALRkfmtcTJg1OmVU38a6pHODU+oc/nW4/XpxOJFiOtAPZlgzz7cVX9f41XzrV2Zs1b7iGdi/7kDv2DBKF3asf4r/tyiP9ftS9cg3661u3XE39lD/1rVLR3wAlcl0+P5raBvr50BFQnKjQ8MofXJLLyssX7X7qEa+u1gf3tRLUWGE5TjRrtKOcg7yAQAAwM07yr0dHeUA3NHRrFx9unS3PlqUYHVkLnpwQGm4fSQjx1qq58QolMLCIj0+ZYO1rM8E6r/uQO8eX0Nf3H5G6f0HvlijtvUjNbJ3fOmSUZz6yJ3np2/Wx4sSrA7f0KAAa1Hn8J5/Pg4DzjMHvL5ZuVdNa1XXpV0ayFds2Jema99dpJSsPF3bK05PDevgdElww++N9fvS1KxWuNrVj3K6HAAAALg5RzvKj+8mHz9+vCZPnqxdu3ZZAU2TJk10xRVXaOTIkRUObObMmaNnn31Wy5cv1/79+/XVV1/p0ksvtd6Wl5enhx56SD/88IN27Nhh/c+fd955+u9//6v69cs6FZOTk3XXXXfpu+++s8bCXH755Xr55ZdVvbpnLcoCgBKbktL0wYJd+mrlXmXnFZaOVzEdnV3ialj3Y6uHOFafCbsfvbhd6X3TgW5qM6G5GdNw/NiP7LwCfbZ8t4qWSQu2H9YLV3VmTMspHpz4bNlu/W/aZmvmvHFBx3r699A2qu+BM6991dwth/TKzG3qFl/D7YPy3Hz7Z09w4MlH7pWXOVA28dbeem7aFj04tE0lVAdvYxbcetqSWwAAAPhwR7l5t4suusgKrjt16qTWrVtbj23cuFFr1661lnh+/fXXFfrkU6dO1fz589WtWzdddtllJwTl5oiACeBHjx5tfb6UlBTdc8891gz0ZcuWlX4Ms2TUhOxvv/22Fa6PGjVKPXr00IQJE8pdBx3lANzBxv1pevy7DaULNY029SJ14xnxpzxexWlZufl6d+5OvTZzm3ILCq1lgGOv784M7Qoy8+O/X7Pfum1mwj92cTudcdxscniGpNRs9X56hnV78b8GqE5kNbmrt37Zrs+W7tbjl7RXvxau+VozB9I88ecaAAAAAB/vKDed5KYDfMaMGerfv/8Jb5s5c6YVcH/44Ye6/vrry/3JTchtLr/H/M9Onz79hMdee+019ezZU4mJiYqLi7NC+h9//FFLly5V9+7drfd59dVXNXToUD333HMndJ4DgDsyBxxLzsYJDw7Uop1HrCWZg9rV0Q19GqtnkxhHxqtUlrDgQN09oIUVtP3lo+XalJSui1+bpzeu7Vbhece+7NLODfTL5kO697wWuuGMxgoKOP0uX1S9ulHV1CUuWisTj+qn9Uka2aex3NHB9Gy9OmOrMnMLdCCtbBdBZXpj9jZ9u2qfNcPcyTNk4Dwzvst8LTSvXV1ntazldDkAAADwYeV+pT1x4kT961//+k1Ibpx77rn65z//qU8++USuZI4SmMAoOjraur9w4ULrdklIbpjxLGYEy+LFi0/6cXJycqwjD8dfAKCqx6s8OHmN7v10VeljcbFh+t/lHTXnH/2tILlX01iPDsmP1zWuhr4d01cdGkRZc4pHvrdYE5ckOl2W2y5v/WjhLn2+bHfpY+e1qa25/+ivW85sSkju4Qa3q2tdT12XJHf13LTNVkjeqVG0hrlgRIyZtT9+/i7rwNk1YxfpUPqJew7gW8wMe7P34okpG5wuBQAAAD6u3K+216xZo8GDB5/07aYzfPXq1XKV7OxsPfDAA7rmmmtKW+qTkpJUu3btE94vMDBQMTEx1ttO5umnn7Y61ksujRo1clndAFAiv6BQP65L0vB3FmrwS3M1cclufbd6n/anHit9nyu7N1IDL505XS8qVJ/f1kcXd6qv/MIihQUzcuHXlu1K1kWvztP/fbPeCo1K5pGbAyY1woOdLg+VYEj7etb14p3Jpf++7mTtnlR9vnyPdfvhC9u6ZAFvVFiQJt3aW3UiQ7TlQIYVlpsudvimhOQs6zo+lpFcAAAA8JCg3CzNrFOnzknfbt5m5oi7gpk9ftVVV1kjCt58883T/ngPPvig1Z1ectm9u6xrDwAq29GsXGve79nPztZtHy/Xoh3J1niVoR3qatKtfVTXjecUVzYzj/jl4Z01cXRva+46bCYk/Otnq3TFWwu1YX+aIqsF6v5BraxreBdz5kjbepHWmQPTN7hXV7l5nvXYd+tlttdc2rm+tXTUVZrWqq5Pb+2jelHVtO1ghoa/s8hlY17g3hKPZFrXcTHhTpcCAAAAH1fuV+Bmiabp1j6ZgIAA5efny1UheUJCgjUL/fgB7XXr1tXBgwdPeH9Tgwn1zdtOJiQkxLoAQFX4ZtU+/XfqJut2jbAgXdMzTtf1jld9L+0c/zOmO/r4+eQH07I1ZsJKPXFpe7WqGyFfkldQqA8W7NJLP29VRo79O/Tq7o3098GtVJO5zV5rSPu62nv0mDJyCuROpqzZr2UJKQoNCtADQ1q7/PM1rhludZZf884i7TiUaYXl5iCameUO37HriN1R3rgmHeUAAADwkKDcdBndeOONJw2YzdxvV4XkW7du1axZsxQbe+Litz59+ujo0aNavny5unXrZj1mwvTCwkL16tWr0usBgPKMV/l54wGrc/qcVvZoqMu7NdT3a/brim4NdXHn+tbbUOaJ7zdqya5kXfbGfL14dWcNLJ7h7Au2H8rQf37YqMIiqWPDKD1+SXt1bmTv4YD3uqlfE912TjO3mzf/y5ZD1vXt5zSzRiVVhfjYcH36lz5WSL7zcKbmbD2kq7ozEs+XJBYH5XExBOUAAABwll+RScDLYdSoUeX6gOPGjSv3J8/IyNC2bdus2126dNELL7xgLQs1M8br1aunK664QitWrNCUKVNOGPti3h4cHFw6G/3AgQN66623rGDd1GmWe06YMKHcdZhlnmZWuRnDcnzHOgCUV3ZegdUZ/OHCBKtT1IxW+P7ufl6zjNOVUjJzdccnK7RwxxHr/v0DW+rO/s299u8uKzdfYcGBJyxObFAj1AoHzUgewCnmKeGszQd1RrOaVX5Ab09KluZtPazhPeOq9PPC+a+5Ng//qOy8Qs26/xw1qcn4FQAAADiX5ZY7KHeF2bNnW8H4r91www169NFH1aRJk9/9c6a7/JxzzrFumzErY8aM0XfffSd/f39dfvnleuWVV1S9evVy10FQDuB0mRnkx49XGdErTvcMaKngQPfqGHXnESRPTtmgDxYmWPcv7FhPz17RSaFetPAzN79Q783bqTdnb9PkO85Q89q+NWYGv2Wegu1JOaZGdNL+RmpWntJz8tSwBn833szMpe/1nxkyxwg3PTGE35kAAADw3aDcXRCUAzhdN7y/xBpbcOMZjfXPIa0Zr3KKJixO1MPfrFN+YZHaN4jUezf0UB0vWHY6Z8shPfrteu04bC+tu6VfEz10YVuny4LDC1wve2OBDmfkaMX/nX/CWQZV7YvlezSgdW3VCLfP1nNa6rE8jXxvsY5k5Fozy80CVHgncwBx/b5UHUjL0eD2vjN2CwAAAO6Z5dK2AQCnqbCwSCsSU6zbZg45IfmpM534n9zSSzHhwcrJK1SYh3eU707O0l8+Wqbr319iheRmQefzV3bSvy9o43RpcFit6iEy04XMyIlfNtuzwZ2wPCFF93++Wuc+P9vq4nYHOXkFysjOt8ZYDX9noRKO2AeY4H1MB3mXuBqE5AAAAHALBOUAcJq2HsxQeraZOx2g1nUZp3G6ejWN1Td39rW6ySOqBclTjZ2zQ+e98IumrT9gzR6/uV8Tzbz/bGu5q7fOX0f5ma+BIe3rWbd/XJ/k2EG+x79bb90+v20dRYW5x/db7chqmnRrbzWrFa59qdm6+m170ScAAAAAuBJBOQCcpoycfHWJi1aPxjEKDODHamUwM5uPH7dgQucnpmxQfkGhPEVhUZFy8gvVu2mMpt5zpv7vwraK9ODgH5VvUDu7i3bmxoPKyS+o8s//1cq9Wr0nVdVDAnX/oFZyJ3ZY3kctaldXUpoJyxdq+6EMp8tCJZu8Yo+1CDvxSJbTpQAAAABybiAmAHiJbvE19NUdfa3FfKh8JkD574+bVFBYpC0H0vXaNV3dpvP1eKbjNT07Tx0bRlv3R/VtosY1wzWwbR06yPG7ujSKVp3IEGs+8/xth3Vu6zpV9rkzc/L1zI/2AuIx5zZX7Qj32wVQKyJEE2/trWvHLtbmA+ka/s4iTRzdi0W4XsSE5OZgTZ3rqjGLHgAAAI6j9REAKglhqGuY8OTVa7ooNChAc7ce1rA35rtVZ2lWbr6enbZJg16co/s+XWUtpyuZvWs6hvm6wMn4+/tpcHFX+dS1VTt+5Y3Z23QwPUfxsWEa1bex3JWZ6z9hdK/SsVZ8P3mXhGS7k9x8HQIAAABOIygHgNOQnVdgdWbCtYZ2qKcvbu+jBtGh1lLMS1+fr1mbDzpakzmD4Ie1+3Xe87/o9VnblVtQqPrRoUrLdo+FiPAMg4vnlE/feEB5VTRayCyZHTt3p3X730PbKCTQvZfmxlpheW99as0tr+50OagkZnns0eIFsnExBOUAAABwHkE5AJyG2ZsPqsOj0zRmwgqnS/F67epH6ZsxfdWjcQ1reerN45fq3bk7HKll28F0XffeYt3xyQpr2aAJ8N+6rps+vKmn1QELlJf5ejaLXl8f0VX+VdQtHR4SqCu7NdRZLWtZSzw9QUx4sJoeF5LP3XpIG/alOVoTTk9CcmbpiB3zNQkAAAA4jWelAHAaliekqLBIigx1v5nZ3siE0J/c0lsPf7NOk5buVpADy1M3JaXpwlfmKb+wyBqvctvZzXT72c0UGuzeXblwT2YBsFn0WtWh81PDOljLcT1xlMnSXcm6+YNlCgsO0Ce39LIOosHzJBQv8IynmxwAAABugqAcAE7DsoQU67p7fA2nS/EZJpx++rIOuqhTfZ3RLLbKP3+rOhHq1TTGmpn+8IXtWEAHj1GycLgkHDchvSdqWSdCbepFavXuoxoxdrEVlrdvQFjuaRKO2B3l/AwFAACAu/DMV0gA4CbzydftTbVud4+Pcbocn2KCvr7Na5YGfqnH8jRi7CKt2XO00j/Xxv1puvXDZdY83ZLPPfb67nr3hh4EPKjUs1Me+269Ff66yoQlibpx3FJrdJAniwoN0kc391SXuGiXfu+jqjrKw50uBQAAALAQlAPAKVq7N1V5BUXWfNVGMaFOl+PTnpu2WQu2H9GVby3UN6v2VsrHNAHco9+u1wWvzNVPGw7opRlbSt8WFswJWahcHy9K0Lj5u/TNqn0u+fjm6/n5n7boly2HNHfrYXm6yGpB1k6AbvE1lJadr2vfXayf1icpJ7/A6dJQTg8ObaMvbz9Dl3Vt4HQpAAAAgIWgHABOowPU6BZXwyPn/HqTfwxupXNb11ZOfqHumbRK//txkwrN8PhTYP7cZ8t269znZmv8gl3WDPqhHerqljObVnrdQInB7eta19PWJ5WOSKlMr8zYquTMXDWvXV3X9Y6XN4ioFqQPbupZuuD31o+Wl575Yew9ekzHcgnO3ZWZlW8OdDRiRjkAAADcBC1xAHCKlu0qnk/emPnk7hCYmXEoz07brLd+2a43Zm/XlgPpevHqztbbysuMb3j4m/VaVTz+olmtcD12cXv1a1HThdUD0tkta1lz7024a85W6dgwutI+9vZDGfpgwS7rtlkc6sQSXFepHhKo8aN66umpG7XjUKZqR1YrfduDk9dq4fbD6twoWr2bxlqXrnE1WLwLAAAA4HcRlAPAKRrSvq7CggPUx4GFkvitAH8//XNIa7WuG6F/fLlGP288qMveWKD3b+xR7o7FTxYlWiF5eHCA7jmvhW48o4m1PBRwtWpBAerfupZ+WJukqeuSKjUof+r7jcovLLLOujCBvLcJDwnUk5d2OOEx05W/NyXLGo+1dFeKdXl15jYFBfhZwfk5rWrrzv7NHavZ1+1JydL4+bvUqm6EruzeyOlyAAAAAAtBOQCcosu7NbQucC+XdmmgJjXDdetHy5SVW/CH3aMFhUXKyM5XVFhQ6QgXM0XnvvNbqs5xnalAVRjcvp4VlP+4Lkn/GNSqUkY6zd58UDM3HVSgv5/+fUE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      "text/plain": [
       "<Figure size 1800x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "\n",
    "aapl = stock_prices['AAPL']\n",
    "size_test = int(len(aapl) * 0.05)\n",
    "print(size_test)\n",
    "\n",
    "train_aapl = aapl[:-size_test]\n",
    "test_aapl = aapl[-size_test:]\n",
    "diff_aapl_full = aapl.diff().dropna()\n",
    "diff_train_aapl = train_aapl.diff().dropna()\n",
    "\n",
    "arima_aapl = ARIMA(train_aapl,order=(9, 1, 9))\n",
    "arima_fit_aapl = arima_aapl.fit()\n",
    "arima_pred_aapl = arima_fit_aapl.forecast(steps=size_test)\n",
    "arima_pred_aapl.index = test_aapl.index\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(18, 15))\n",
    "ax.plot(aapl[-size_test:], label='Actual Stock Price', linestyle='--')\n",
    "ax.plot(arima_pred_aapl, linestyle='solid', label=\"Prediction\")\n",
    "ax.set_title('Predicted Stock Price-Apple')\n",
    "ax.legend(loc='best')\n",
    "ax.set(xlabel='Date', ylabel='Differenced Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2020-11-25    113.335907\n",
       "2020-11-27    113.882896\n",
       "2020-11-30    116.285789\n",
       "Name: AAPL, dtype: float64"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_aapl.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(18, 15))\n",
    "ax.plot(aapl, label='Actual Stock Price', linestyle='--')\n",
    "ax.plot(pd.concat([train_aapl, arima_pred_aapl],axis=0), linestyle='solid', label=\"Prediction\")\n",
    "ax.set_title('Predicted Stock Price-Apple')\n",
    "ax.legend(loc='best')\n",
    "ax.set(xlabel='Date', ylabel='Differenced Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import itertools\n",
    "# p = q = range(0, 9)\n",
    "# d = range(0, 3)\n",
    "# pdq = list(itertools.product(p, d, q))\n",
    "# arima_results_aapl = []\n",
    "# for param_set in pdq:\n",
    "#     try:\n",
    "#         arima_aapl = ARIMA(diff_train_aapl, order=param_set)\n",
    "#         arima_fitted_aapl = arima_aapl.fit()\n",
    "#         arima_results_aapl.append(arima_fitted_aapl.aic)\n",
    "#     except:\n",
    "#         continue\n",
    "# print('**'*25)\n",
    "# print('The Lowest AIC score is {:.4f} and the corresponding parameters are {}'\n",
    "#       .format(pd.DataFrame(arima_results_aapl)\n",
    "#              .where(pd.DataFrame(arima_results_aapl).T.notnull().all()).min()[0], \n",
    "#              pdq[arima_results_aapl.index(min(arima_results_aapl))]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "arima_fit_aapl.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AIC vs. BIC\n",
    "\n",
    "## **1️⃣ Akaike Information Criterion (AIC)**  \n",
    "$$\n",
    "AIC = -2 ln(L) + 2k\n",
    "$$\n",
    "Where:  \n",
    "- L = Maximum likelihood of the model  \n",
    "- k = Number of estimated parameters in the model  \n",
    "- -2 ln(L) = Measures model fit (lower is better)  \n",
    "- 2k = Penalizes complexity (more parameters increase AIC)  \n",
    "\n",
    "---\n",
    "\n",
    "## **2️⃣ Bayesian Information Criterion (BIC)**  \n",
    "$$\n",
    "BIC = -2 ln(L) + k ln(n)\n",
    "$$\n",
    "Where:  \n",
    "- n = Number of observations (sample size)  \n",
    "- k = Number of parameters  \n",
    "- ln(n) grows with larger samples → **Stronger penalty for complexity**  \n",
    "\n",
    "---\n",
    "\n",
    "## **3️⃣ Comparison of AIC vs. BIC**\n",
    "| Criterion | Formula | Penalization for Complexity |\n",
    "|-----------|---------|---------------------------|\n",
    "| **AIC** | -2 ln(L) + 2k | **Less strict** (penalty = 2k) |\n",
    "| **BIC** | -2 ln(L) + k ln(n) | **Stronger penalty** (depends on sample size n) |\n",
    "\n",
    "🔹 **AIC prefers models with better fit** but allows more complexity.  \n",
    "🔹 **BIC prefers simpler models**, especially for larger datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE:  12.866775952061351\n",
      "RMSE:  13.990613976196226\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_absolute_error, mean_squared_error\n",
    "import numpy as np\n",
    "\n",
    "score_mae = mean_absolute_error(test_aapl, arima_pred_aapl)\n",
    "score_rmse = np.sqrt(mean_squared_error(test_aapl, arima_pred_aapl))\n",
    "\n",
    "print(\"MAE: \", score_mae)\n",
    "print(\"RMSE: \", score_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_aapl.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Other Approaches"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prophet\n",
    "\n",
    "Facebook's Prophet is an open-source time series forecasting tool designed for automatic forecasting with minimal manual tuning. It is particularly useful for business and economic time series data with strong seasonality and holiday effects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>0</th>\n",
       "      <td>2019-01-02</td>\n",
       "      <td>37.667175</td>\n",
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       "      <td>2019-01-03</td>\n",
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       "      <th>2</th>\n",
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       "      <td>2019-01-07</td>\n",
       "      <td>35.284363</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-01-08</td>\n",
       "      <td>35.956993</td>\n",
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      "text/plain": [
       "          ds          y\n",
       "0 2019-01-02  37.667175\n",
       "1 2019-01-03  33.915249\n",
       "2 2019-01-04  35.363075\n",
       "3 2019-01-07  35.284363\n",
       "4 2019-01-08  35.956993"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_train_aapl = train_aapl.reset_index().rename(columns={'Date': 'ds', 'AAPL': 'y'})\n",
    "df_train_aapl.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(25,)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_aapl.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Timestamp('2020-11-25 00:00:00'), Timestamp('2020-12-31 00:00:00'))"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_aapl.index.min(), test_aapl.index.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n",
      "Importing plotly failed. Interactive plots will not work.\n",
      "21:19:39 - cmdstanpy - INFO - Chain [1] start processing\n",
      "21:19:39 - cmdstanpy - INFO - Chain [1] done processing\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE:  3.548437360985425\n",
      "RMSE:  4.280002962722468\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_absolute_error, mean_squared_error\n",
    "import math\n",
    "\n",
    "from prophet import Prophet\n",
    "\n",
    "\n",
    "# Train the model\n",
    "model = Prophet()\n",
    "model.fit(df_train_aapl)\n",
    "\n",
    "size = 37\n",
    "x_valid = model.make_future_dataframe(periods=size, freq='d')\n",
    "\n",
    "# Predict on valid set\n",
    "y_pred = model.predict(x_valid)\n",
    "\n",
    "# Calcuate metrics\n",
    "df_test_aapl = test_aapl.reset_index().rename(columns={'Date': 'ds', 'AAPL': 'y'})\n",
    "df_y_pred = y_pred.tail(size)[['ds', 'yhat']]\n",
    "df_combo = pd.merge(df_test_aapl, df_y_pred, on='ds', how='inner')\n",
    "\n",
    "score_mae = mean_absolute_error(df_combo.y, df_combo.yhat)\n",
    "score_rmse = math.sqrt(mean_squared_error(df_combo.y, df_combo.yhat))\n",
    "\n",
    "print(\"MAE: \", score_mae)\n",
    "print(\"RMSE: \", score_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>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>weekly</th>\n",
       "      <th>weekly_lower</th>\n",
       "      <th>weekly_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>2019-01-02</td>\n",
       "      <td>37.337318</td>\n",
       "      <td>31.871734</td>\n",
       "      <td>42.970259</td>\n",
       "      <td>37.337318</td>\n",
       "      <td>37.337318</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.232282</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.569599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-01-03</td>\n",
       "      <td>37.415841</td>\n",
       "      <td>31.566130</td>\n",
       "      <td>43.473250</td>\n",
       "      <td>37.415841</td>\n",
       "      <td>37.415841</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.010063</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.425904</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-01-04</td>\n",
       "      <td>37.494365</td>\n",
       "      <td>31.318919</td>\n",
       "      <td>43.213433</td>\n",
       "      <td>37.494365</td>\n",
       "      <td>37.494365</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>-0.072305</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.422060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-01-07</td>\n",
       "      <td>37.729937</td>\n",
       "      <td>31.603461</td>\n",
       "      <td>43.231721</td>\n",
       "      <td>37.729937</td>\n",
       "      <td>37.729937</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>-0.254685</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.475251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-01-08</td>\n",
       "      <td>37.808461</td>\n",
       "      <td>32.066786</td>\n",
       "      <td>43.754179</td>\n",
       "      <td>37.808461</td>\n",
       "      <td>37.808461</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>-0.098488</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.709973</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          ds      trend  yhat_lower  yhat_upper  trend_lower  trend_upper  \\\n",
       "0 2019-01-02  37.337318   31.871734   42.970259    37.337318    37.337318   \n",
       "1 2019-01-03  37.415841   31.566130   43.473250    37.415841    37.415841   \n",
       "2 2019-01-04  37.494365   31.318919   43.213433    37.494365    37.494365   \n",
       "3 2019-01-07  37.729937   31.603461   43.231721    37.729937    37.729937   \n",
       "4 2019-01-08  37.808461   32.066786   43.754179    37.808461    37.808461   \n",
       "\n",
       "   additive_terms  additive_terms_lower  additive_terms_upper    weekly  \\\n",
       "0        0.232282              0.232282              0.232282  0.232282   \n",
       "1        0.010063              0.010063              0.010063  0.010063   \n",
       "2       -0.072305             -0.072305             -0.072305 -0.072305   \n",
       "3       -0.254685             -0.254685             -0.254685 -0.254685   \n",
       "4       -0.098488             -0.098488             -0.098488 -0.098488   \n",
       "\n",
       "   weekly_lower  weekly_upper  multiplicative_terms  \\\n",
       "0      0.232282      0.232282                   0.0   \n",
       "1      0.010063      0.010063                   0.0   \n",
       "2     -0.072305     -0.072305                   0.0   \n",
       "3     -0.254685     -0.254685                   0.0   \n",
       "4     -0.098488     -0.098488                   0.0   \n",
       "\n",
       "   multiplicative_terms_lower  multiplicative_terms_upper       yhat  \n",
       "0                         0.0                         0.0  37.569599  \n",
       "1                         0.0                         0.0  37.425904  \n",
       "2                         0.0                         0.0  37.422060  \n",
       "3                         0.0                         0.0  37.475251  \n",
       "4                         0.0                         0.0  37.709973  "
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_valid2 = x_valid[x_valid.ds.dt.weekday < 5]\n",
    "\n",
    "# Predict on valid set\n",
    "y_pred = model.predict(x_valid2)\n",
    "# print(len(y_pred))\n",
    "y_pred[:5]\n",
    "\n",
    "# # Calcuate metrics\n",
    "# df_test_aapl = test_aapl.reset_index().rename(columns={'Date': 'ds', 'AAPL': 'y'})\n",
    "# df_y_pred = y_pred.tail(size)[['ds', 'yhat']]\n",
    "# df_combo = pd.merge(df_test_aapl, df_y_pred, on='ds', how='inner')\n",
    "\n",
    "# score_mae = mean_absolute_error(df_combo.y, df_combo.yhat)\n",
    "# score_rmse = math.sqrt(mean_squared_error(df_combo.y, df_combo.yhat))\n",
    "\n",
    "# print(\"MAE: \", score_mae)\n",
    "# print(\"RMSE: \", score_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the forecast\n",
    "f, ax = plt.subplots(1)\n",
    "f.set_figheight(6)\n",
    "f.set_figwidth(15)\n",
    "\n",
    "model.plot(y_pred, ax=ax)\n",
    "plt.plot(test_aapl, label=\"Test set\", color=\"orange\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| Feature                 | **Prophet**                        | **ARIMA**                          |\n",
    "|-------------------------|----------------------------------|----------------------------------|\n",
    "| **Ease of Use**         | ✅ Easy (automated)             | ❌ Requires manual tuning       |\n",
    "| **Handles Missing Data** | ✅ Yes                           | ❌ No                           |\n",
    "| **Captures Trend**      | ✅ Yes (automatically)          | ✅ Yes (differencing needed)   |\n",
    "| **Handles Seasonality** | ✅ Yes (Fourier terms)         | ✅ Yes (SARIMA needed)        |\n",
    "| **Holiday Effects**     | ✅ Yes (built-in)              | ❌ No (must be manually engineered) |\n",
    "| **Best For**            | Business, finance, irregular data | Statistical modeling, short-term forecasting |\n",
    "| **Works with Short Time Series?** | ❌ Not ideal    | ✅ Yes |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## From a `time series` problem to a `supervised` problem\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   t\n",
      "0  0\n",
      "1  1\n",
      "2  2\n",
      "3  3\n",
      "4  4\n",
      "5  5\n",
      "6  6\n",
      "7  7\n",
      "8  8\n",
      "9  9\n"
     ]
    }
   ],
   "source": [
    "from pandas import DataFrame\n",
    "df = DataFrame()\n",
    "df['t'] = [x for x in range(10)]\n",
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   t  t-1\n",
      "0  0  NaN\n",
      "1  1  0.0\n",
      "2  2  1.0\n",
      "3  3  2.0\n",
      "4  4  3.0\n",
      "5  5  4.0\n",
      "6  6  5.0\n",
      "7  7  6.0\n",
      "8  8  7.0\n",
      "9  9  8.0\n"
     ]
    }
   ],
   "source": [
    "from pandas import DataFrame\n",
    "df = DataFrame()\n",
    "df['t'] = [x for x in range(10)]\n",
    "df['t-1'] = df['t'].shift(1)\n",
    "print(df)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   t  t+1\n",
      "0  0  1.0\n",
      "1  1  2.0\n",
      "2  2  3.0\n",
      "3  3  4.0\n",
      "4  4  5.0\n",
      "5  5  6.0\n",
      "6  6  7.0\n",
      "7  7  8.0\n",
      "8  8  9.0\n",
      "9  9  NaN\n"
     ]
    }
   ],
   "source": [
    "\n",
    "from pandas import DataFrame\n",
    "df = DataFrame()\n",
    "df['t'] = [x for x in range(10)]\n",
    "df['t+1'] = df['t'].shift(-1)\n",
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pandas import DataFrame\n",
    "from pandas import concat\n",
    " \n",
    "def series_to_supervised(data, n_in=1, n_out=1, dropnan=True):\n",
    "\t\"\"\"\n",
    "\tFrame a time series as a supervised learning dataset.\n",
    "\tArguments:\n",
    "\t\tdata: Sequence of observations as a list or NumPy array.\n",
    "\t\tn_in: Number of lag observations as input (X).\n",
    "\t\tn_out: Number of observations as output (y).\n",
    "\t\tdropnan: Boolean whether or not to drop rows with NaN values.\n",
    "\tReturns:\n",
    "\t\tPandas DataFrame of series framed for supervised learning.\n",
    "\t\"\"\"\n",
    "\tn_vars = 1 if type(data) is list else data.shape[1]\n",
    "\tdf = DataFrame(data)\n",
    "\tcols, names = list(), list()\n",
    "\t# input sequence (t-n, ... t-1)\n",
    "\tfor i in range(n_in, 0, -1):\n",
    "\t\tcols.append(df.shift(i))\n",
    "\t\tnames += [('var%d(t-%d)' % (j+1, i)) for j in range(n_vars)]\n",
    "\t# forecast sequence (t, t+1, ... t+n)\n",
    "\tfor i in range(0, n_out):\n",
    "\t\tcols.append(df.shift(-i))\n",
    "\t\tif i == 0:\n",
    "\t\t\tnames += [('var%d(t)' % (j+1)) for j in range(n_vars)]\n",
    "\t\telse:\n",
    "\t\t\tnames += [('var%d(t+%d)' % (j+1, i)) for j in range(n_vars)]\n",
    "\t# put it all together\n",
    "\tagg = concat(cols, axis=1)\n",
    "\tagg.columns = names\n",
    "\t# drop rows with NaN values\n",
    "\tif dropnan:\n",
    "\t\tagg.dropna(inplace=True)\n",
    "\treturn agg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   var1(t-1)  var1(t)\n",
      "1        0.0        1\n",
      "2        1.0        2\n",
      "3        2.0        3\n",
      "4        3.0        4\n",
      "5        4.0        5\n",
      "6        5.0        6\n",
      "7        6.0        7\n",
      "8        7.0        8\n",
      "9        8.0        9\n"
     ]
    }
   ],
   "source": [
    "values = [x for x in range(10)]\n",
    "data = series_to_supervised(values)\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   var1(t-3)  var1(t-2)  var1(t-1)  var1(t)\n",
      "3        0.0        1.0        2.0        3\n",
      "4        1.0        2.0        3.0        4\n",
      "5        2.0        3.0        4.0        5\n",
      "6        3.0        4.0        5.0        6\n",
      "7        4.0        5.0        6.0        7\n",
      "8        5.0        6.0        7.0        8\n",
      "9        6.0        7.0        8.0        9\n"
     ]
    }
   ],
   "source": [
    "values = [x for x in range(10)]\n",
    "data = series_to_supervised(values, n_in=3)\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   var1(t-1)  var1(t)  var1(t+1)  var1(t+2)\n",
      "1        0.0        1        2.0        3.0\n",
      "2        1.0        2        3.0        4.0\n",
      "3        2.0        3        4.0        5.0\n",
      "4        3.0        4        5.0        6.0\n",
      "5        4.0        5        6.0        7.0\n",
      "6        5.0        6        7.0        8.0\n",
      "7        6.0        7        8.0        9.0\n"
     ]
    }
   ],
   "source": [
    "values = [x for x in range(10)]\n",
    "data = series_to_supervised(values, n_out=3)\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: AAPL - Random Forest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2019-01-02    37.667175\n",
       "2019-01-03    33.915249\n",
       "2019-01-04    35.363075\n",
       "Name: AAPL, dtype: float64"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aapl.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "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>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-01-02</th>\n",
       "      <td>37.667175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-03</th>\n",
       "      <td>33.915249</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-04</th>\n",
       "      <td>35.363075</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    y\n",
       "ds                   \n",
       "2019-01-02  37.667175\n",
       "2019-01-03  33.915249\n",
       "2019-01-04  35.363075"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = aapl.reset_index().rename(columns={'Date':'ds', 'AAPL':'y'})\n",
    "data = data.set_index('ds')\n",
    "data.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "# x = data['y'].shift(6).rolling(window=19).mean().dropna()\n",
    "# x.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(505, 1)"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "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>y</th>\n",
       "      <th>lag_6</th>\n",
       "      <th>lag_7</th>\n",
       "      <th>lag_8</th>\n",
       "      <th>lag_9</th>\n",
       "      <th>lag_10</th>\n",
       "      <th>lag_11</th>\n",
       "      <th>lag_12</th>\n",
       "      <th>lag_13</th>\n",
       "      <th>lag_14</th>\n",
       "      <th>...</th>\n",
       "      <th>lag_16</th>\n",
       "      <th>lag_17</th>\n",
       "      <th>lag_18</th>\n",
       "      <th>lag_19</th>\n",
       "      <th>lag_20</th>\n",
       "      <th>lag_21</th>\n",
       "      <th>lag_22</th>\n",
       "      <th>lag_23</th>\n",
       "      <th>lag_24</th>\n",
       "      <th>weekday</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-02-06</th>\n",
       "      <td>41.559830</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>...</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>37.667175</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-07</th>\n",
       "      <td>40.772720</td>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>...</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-08</th>\n",
       "      <td>40.820629</td>\n",
       "      <td>39.699375</td>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>...</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                    y      lag_6      lag_7      lag_8      lag_9     lag_10  \\\n",
       "ds                                                                             \n",
       "2019-02-06  41.559830  36.894379  37.280788  37.629005  36.422104  36.713108   \n",
       "2019-02-07  40.772720  39.415550  36.894379  37.280788  37.629005  36.422104   \n",
       "2019-02-08  40.820629  39.699375  39.415550  36.894379  37.280788  37.629005   \n",
       "\n",
       "               lag_11     lag_12     lag_13     lag_14  ...     lag_16  \\\n",
       "ds                                                      ...              \n",
       "2019-02-06  36.565220  37.404808  37.175827  36.956387  ...  35.778103   \n",
       "2019-02-07  36.713108  36.565220  37.404808  37.175827  ...  36.510357   \n",
       "2019-02-08  36.422104  36.713108  36.565220  37.404808  ...  36.956387   \n",
       "\n",
       "               lag_17     lag_18     lag_19     lag_20     lag_21     lag_22  \\\n",
       "ds                                                                             \n",
       "2019-02-06  36.324303  36.684467  36.567604  35.956993  35.284363  35.363075   \n",
       "2019-02-07  35.778103  36.324303  36.684467  36.567604  35.956993  35.284363   \n",
       "2019-02-08  36.510357  35.778103  36.324303  36.684467  36.567604  35.956993   \n",
       "\n",
       "               lag_23     lag_24  weekday  \n",
       "ds                                         \n",
       "2019-02-06  33.915249  37.667175        2  \n",
       "2019-02-07  35.363075  33.915249        3  \n",
       "2019-02-08  35.284363  35.363075        4  \n",
       "\n",
       "[3 rows x 21 columns]"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i in range(6, 25):\n",
    "    data[f'lag_{i}'] = data['y'].shift(i)\n",
    "\n",
    "# data['hour'] = data.index.hour\n",
    "data['weekday'] = data.index.weekday\n",
    "data = data.dropna()\n",
    "\n",
    "data.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "# pd.set_option('display.max_rows', None)\n",
    "pd.set_option('display.max_columns', None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>lag_6</th>\n",
       "      <th>lag_7</th>\n",
       "      <th>lag_8</th>\n",
       "      <th>lag_9</th>\n",
       "      <th>lag_10</th>\n",
       "      <th>lag_11</th>\n",
       "      <th>lag_12</th>\n",
       "      <th>lag_13</th>\n",
       "      <th>lag_14</th>\n",
       "      <th>lag_15</th>\n",
       "      <th>lag_16</th>\n",
       "      <th>lag_17</th>\n",
       "      <th>lag_18</th>\n",
       "      <th>lag_19</th>\n",
       "      <th>lag_20</th>\n",
       "      <th>lag_21</th>\n",
       "      <th>lag_22</th>\n",
       "      <th>lag_23</th>\n",
       "      <th>lag_24</th>\n",
       "      <th>weekday</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-02-06</th>\n",
       "      <td>41.559830</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>37.667175</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-07</th>\n",
       "      <td>40.772720</td>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-08</th>\n",
       "      <td>40.820629</td>\n",
       "      <td>39.699375</td>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    y      lag_6      lag_7      lag_8      lag_9     lag_10  \\\n",
       "ds                                                                             \n",
       "2019-02-06  41.559830  36.894379  37.280788  37.629005  36.422104  36.713108   \n",
       "2019-02-07  40.772720  39.415550  36.894379  37.280788  37.629005  36.422104   \n",
       "2019-02-08  40.820629  39.699375  39.415550  36.894379  37.280788  37.629005   \n",
       "\n",
       "               lag_11     lag_12     lag_13     lag_14     lag_15     lag_16  \\\n",
       "ds                                                                             \n",
       "2019-02-06  36.565220  37.404808  37.175827  36.956387  36.510357  35.778103   \n",
       "2019-02-07  36.713108  36.565220  37.404808  37.175827  36.956387  36.510357   \n",
       "2019-02-08  36.422104  36.713108  36.565220  37.404808  37.175827  36.956387   \n",
       "\n",
       "               lag_17     lag_18     lag_19     lag_20     lag_21     lag_22  \\\n",
       "ds                                                                             \n",
       "2019-02-06  36.324303  36.684467  36.567604  35.956993  35.284363  35.363075   \n",
       "2019-02-07  35.778103  36.324303  36.684467  36.567604  35.956993  35.284363   \n",
       "2019-02-08  36.510357  35.778103  36.324303  36.684467  36.567604  35.956993   \n",
       "\n",
       "               lag_23     lag_24  weekday  \n",
       "ds                                         \n",
       "2019-02-06  33.915249  37.667175        2  \n",
       "2019-02-07  35.363075  33.915249        3  \n",
       "2019-02-08  35.284363  35.363075        4  "
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dimension:  (481, 21)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_6</th>\n",
       "      <th>lag_7</th>\n",
       "      <th>lag_8</th>\n",
       "      <th>lag_9</th>\n",
       "      <th>lag_10</th>\n",
       "      <th>lag_11</th>\n",
       "      <th>lag_12</th>\n",
       "      <th>lag_13</th>\n",
       "      <th>lag_14</th>\n",
       "      <th>lag_15</th>\n",
       "      <th>lag_16</th>\n",
       "      <th>lag_17</th>\n",
       "      <th>lag_18</th>\n",
       "      <th>lag_19</th>\n",
       "      <th>lag_20</th>\n",
       "      <th>lag_21</th>\n",
       "      <th>lag_22</th>\n",
       "      <th>lag_23</th>\n",
       "      <th>lag_24</th>\n",
       "      <th>weekday</th>\n",
       "      <th>rolling_mean</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-02-06</th>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>37.667175</td>\n",
       "      <td>2</td>\n",
       "      <td>36.478596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-07</th>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
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       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>33.915249</td>\n",
       "      <td>3</td>\n",
       "      <td>36.570615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-02-08</th>\n",
       "      <td>39.699375</td>\n",
       "      <td>39.415550</td>\n",
       "      <td>36.894379</td>\n",
       "      <td>37.280788</td>\n",
       "      <td>37.629005</td>\n",
       "      <td>36.422104</td>\n",
       "      <td>36.713108</td>\n",
       "      <td>36.565220</td>\n",
       "      <td>37.404808</td>\n",
       "      <td>37.175827</td>\n",
       "      <td>36.956387</td>\n",
       "      <td>36.510357</td>\n",
       "      <td>35.778103</td>\n",
       "      <td>36.324303</td>\n",
       "      <td>36.684467</td>\n",
       "      <td>36.567604</td>\n",
       "      <td>35.956993</td>\n",
       "      <td>35.284363</td>\n",
       "      <td>35.363075</td>\n",
       "      <td>4</td>\n",
       "      <td>36.875043</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                lag_6      lag_7      lag_8      lag_9     lag_10     lag_11  \\\n",
       "ds                                                                             \n",
       "2019-02-06  36.894379  37.280788  37.629005  36.422104  36.713108  36.565220   \n",
       "2019-02-07  39.415550  36.894379  37.280788  37.629005  36.422104  36.713108   \n",
       "2019-02-08  39.699375  39.415550  36.894379  37.280788  37.629005  36.422104   \n",
       "\n",
       "               lag_12     lag_13     lag_14     lag_15     lag_16     lag_17  \\\n",
       "ds                                                                             \n",
       "2019-02-06  37.404808  37.175827  36.956387  36.510357  35.778103  36.324303   \n",
       "2019-02-07  36.565220  37.404808  37.175827  36.956387  36.510357  35.778103   \n",
       "2019-02-08  36.713108  36.565220  37.404808  37.175827  36.956387  36.510357   \n",
       "\n",
       "               lag_18     lag_19     lag_20     lag_21     lag_22     lag_23  \\\n",
       "ds                                                                             \n",
       "2019-02-06  36.684467  36.567604  35.956993  35.284363  35.363075  33.915249   \n",
       "2019-02-07  36.324303  36.684467  36.567604  35.956993  35.284363  35.363075   \n",
       "2019-02-08  35.778103  36.324303  36.684467  36.567604  35.956993  35.284363   \n",
       "\n",
       "               lag_24  weekday  rolling_mean  \n",
       "ds                                            \n",
       "2019-02-06  37.667175        2     36.478596  \n",
       "2019-02-07  33.915249        3     36.570615  \n",
       "2019-02-08  35.363075        4     36.875043  "
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lag_cols = [col for col in data.columns if 'lag' in col]\n",
    "data['rolling_mean'] = data[lag_cols].mean(axis=1)\n",
    "\n",
    "# extract out the features and labels into separate variables\n",
    "y = data['y'].values\n",
    "data2 = data.drop('y', axis=1)\n",
    "\n",
    "X = data2.values\n",
    "feature_names = data2.columns\n",
    "print('dimension: ', X.shape)\n",
    "data2.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_test_split(X, y, test_size):\n",
    "    \"\"\"Perform train-test split with respect to time series structure.\"\"\"\n",
    "    test_index = int(len(X) * (1 - test_size))\n",
    "    X_train = X[:test_index]\n",
    "    X_test = X[test_index:]\n",
    "    y_train = y[:test_index]\n",
    "    y_test = y[test_index:]\n",
    "    return X_train, X_test, y_train, y_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_size = 0.05\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE:  11.37257289123535\n",
      "RMSE:  13.207664821446192\n"
     ]
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "rfr = RandomForestRegressor(n_estimators=200)\n",
    "rfr.fit(X_train, y_train)\n",
    "prediction = rfr.predict(X_test)\n",
    "\n",
    "score_mae = mean_absolute_error(y_test, prediction)\n",
    "score_rmse = np.sqrt(mean_squared_error(y_test, prediction))\n",
    "\n",
    "print(\"MAE: \", score_mae)\n",
    "print(\"RMSE: \", score_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_absolute_percentage_error(y_true, y_pred):\n",
    "    return np.mean(np.abs((y_true - y_pred) / y_true)) * 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score, TimeSeriesSplit\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "x = range(prediction.size)\n",
    "plt.plot(x, prediction, label='prediction', linewidth=2.0)\n",
    "plt.plot(x, y_test, label='actual', linewidth=2.0)\n",
    "\n",
    "\n",
    "timeseries_cv = TimeSeriesSplit(n_splits=5)\n",
    "cv = cross_val_score(rfr, X_train, y_train, \n",
    "                        cv=timeseries_cv, scoring='neg_mean_absolute_error')\n",
    "mae = -1 * cv.mean()\n",
    "deviation = cv.std()\n",
    "\n",
    "# hard-coded to be 95% confidence interval\n",
    "scale = 1.96\n",
    "margin_error = mae + scale * deviation\n",
    "lower = prediction - margin_error\n",
    "upper = prediction + margin_error\n",
    "\n",
    "fill_alpha = 0.2\n",
    "fill_color = '#66C2D7'\n",
    "plt.fill_between(x, lower, upper, color=fill_color, alpha=fill_alpha, label='95% CI')      \n",
    "\n",
    "# if plot_anomalies:\n",
    "#     anomalies = np.array([np.nan] * len(y_test))\n",
    "#     anomalies[y_test < lower] = y_test[y_test < lower]\n",
    "#     anomalies[y_test > upper] = y_test[y_test > upper]\n",
    "#     plt.plot(anomalies, 'o', markersize=10, label='Anomalies')\n",
    "\n",
    "error = mean_absolute_percentage_error(prediction, y_test)\n",
    "plt.title('Mean absolute percentage error {0:.2f}%'.format(error))\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "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>Feature</th>\n",
       "      <th>Importance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>lag_6</td>\n",
       "      <td>0.544092</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>lag_7</td>\n",
       "      <td>0.149403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>lag_8</td>\n",
       "      <td>0.083345</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lag_9</td>\n",
       "      <td>0.063612</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>rolling_mean</td>\n",
       "      <td>0.060657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>lag_19</td>\n",
       "      <td>0.030119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>lag_10</td>\n",
       "      <td>0.029848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>lag_18</td>\n",
       "      <td>0.005417</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>lag_13</td>\n",
       "      <td>0.004471</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>lag_15</td>\n",
       "      <td>0.004211</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>lag_20</td>\n",
       "      <td>0.004018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>lag_17</td>\n",
       "      <td>0.003907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>lag_24</td>\n",
       "      <td>0.003002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>lag_22</td>\n",
       "      <td>0.002943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>lag_21</td>\n",
       "      <td>0.002833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>lag_23</td>\n",
       "      <td>0.002666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>lag_16</td>\n",
       "      <td>0.001828</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>lag_14</td>\n",
       "      <td>0.001305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>lag_11</td>\n",
       "      <td>0.001291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>lag_12</td>\n",
       "      <td>0.000918</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>weekday</td>\n",
       "      <td>0.000116</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Feature  Importance\n",
       "0          lag_6    0.544092\n",
       "1          lag_7    0.149403\n",
       "2          lag_8    0.083345\n",
       "3          lag_9    0.063612\n",
       "20  rolling_mean    0.060657\n",
       "13        lag_19    0.030119\n",
       "4         lag_10    0.029848\n",
       "12        lag_18    0.005417\n",
       "7         lag_13    0.004471\n",
       "9         lag_15    0.004211\n",
       "14        lag_20    0.004018\n",
       "11        lag_17    0.003907\n",
       "18        lag_24    0.003002\n",
       "16        lag_22    0.002943\n",
       "15        lag_21    0.002833\n",
       "17        lag_23    0.002666\n",
       "10        lag_16    0.001828\n",
       "8         lag_14    0.001305\n",
       "5         lag_11    0.001291\n",
       "6         lag_12    0.000918\n",
       "19       weekday    0.000116"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "importances = rfr.feature_importances_\n",
    "feature_names = data2.columns\n",
    "# Create a DataFrame for better visualization\n",
    "feature_importance_df = pd.DataFrame({'Feature': feature_names, 'Importance': importances})\n",
    "# Sort by importance (highest first)\n",
    "feature_importance_df = feature_importance_df.sort_values(by='Importance', ascending=False)\n",
    "\n",
    "feature_importance_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: AAPL - XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:42:33] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n"
     ]
    },
    {
     "data": {
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       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-1 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-1 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-1 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-1 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>XGBRegressor(base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=None, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=None, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimator=20, n_estimators=None,\n",
       "             n_jobs=None, num_parallel_tree=None, ...)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>XGBRegressor</div></div><div><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\"><pre>XGBRegressor(base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=None, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=None, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimator=20, n_estimators=None,\n",
       "             n_jobs=None, num_parallel_tree=None, ...)</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "XGBRegressor(base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=None, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=None, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimator=20, n_estimators=None,\n",
       "             n_jobs=None, num_parallel_tree=None, ...)"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## using Xgboost\n",
    "import xgboost as xgb\n",
    "\n",
    "xgb_reg = xgb.XGBRegressor(\n",
    "    objective=\"reg:squarederror\",\n",
    "    n_estimator=20,\n",
    "    learning_rate=0.1,\n",
    "    random_state=123,\n",
    ")\n",
    "xgb_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE:  10.533048400878906\n",
      "RMSE:  11.944993577329392\n"
     ]
    }
   ],
   "source": [
    "y_pred_xgb = xgb_reg.predict(X_test)\n",
    "score_mae = mean_absolute_error(y_test, y_pred_xgb)\n",
    "score_rmse = np.sqrt(mean_squared_error(y_test, y_pred_xgb))\n",
    "\n",
    "print(\"MAE: \", score_mae)\n",
    "print(\"RMSE: \", score_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "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>Feature</th>\n",
       "      <th>Importance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>lag_6</td>\n",
       "      <td>0.526295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>lag_8</td>\n",
       "      <td>0.098961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>lag_20</td>\n",
       "      <td>0.086200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lag_9</td>\n",
       "      <td>0.082883</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>lag_15</td>\n",
       "      <td>0.058548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>lag_7</td>\n",
       "      <td>0.040848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>lag_19</td>\n",
       "      <td>0.024806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>rolling_mean</td>\n",
       "      <td>0.021671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>lag_18</td>\n",
       "      <td>0.014230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>lag_24</td>\n",
       "      <td>0.009405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>lag_21</td>\n",
       "      <td>0.009387</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>lag_23</td>\n",
       "      <td>0.008607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>lag_22</td>\n",
       "      <td>0.005319</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>lag_10</td>\n",
       "      <td>0.002455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>lag_11</td>\n",
       "      <td>0.002202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>lag_12</td>\n",
       "      <td>0.002072</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>lag_13</td>\n",
       "      <td>0.002032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>lag_14</td>\n",
       "      <td>0.001546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>lag_16</td>\n",
       "      <td>0.001244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>lag_17</td>\n",
       "      <td>0.001218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>weekday</td>\n",
       "      <td>0.000071</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Feature  Importance\n",
       "0          lag_6    0.526295\n",
       "2          lag_8    0.098961\n",
       "14        lag_20    0.086200\n",
       "3          lag_9    0.082883\n",
       "9         lag_15    0.058548\n",
       "1          lag_7    0.040848\n",
       "13        lag_19    0.024806\n",
       "20  rolling_mean    0.021671\n",
       "12        lag_18    0.014230\n",
       "18        lag_24    0.009405\n",
       "15        lag_21    0.009387\n",
       "17        lag_23    0.008607\n",
       "16        lag_22    0.005319\n",
       "4         lag_10    0.002455\n",
       "5         lag_11    0.002202\n",
       "6         lag_12    0.002072\n",
       "7         lag_13    0.002032\n",
       "8         lag_14    0.001546\n",
       "10        lag_16    0.001244\n",
       "11        lag_17    0.001218\n",
       "19       weekday    0.000071"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "importances_xgb = xgb_reg.feature_importances_\n",
    "feature_names_xgb = data2.columns\n",
    "# Create a DataFrame for better visualization\n",
    "feature_importance_df_xgb = pd.DataFrame({'Feature': feature_names_xgb, 'Importance': importances_xgb})\n",
    "# Sort by importance (highest first)\n",
    "feature_importance_df_xgb = feature_importance_df_xgb.sort_values(by='Importance', ascending=False)\n",
    "\n",
    "feature_importance_df_xgb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:43:01] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:43:01] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:43:01] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:43:02] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n",
      "/Users/xiangshiyin/Documents/Teaching/machine-learning-for-actuarial-science/.venv/lib/python3.12/site-packages/xgboost/core.py:158: UserWarning: [21:43:02] WARNING: /Users/runner/work/xgboost/xgboost/src/learner.cc:740: \n",
      "Parameters: { \"n_estimator\" } are not used.\n",
      "\n",
      "  warnings.warn(smsg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score, TimeSeriesSplit\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "x = range(prediction.size)\n",
    "plt.plot(x, prediction, label='prediction', linewidth=2.0)\n",
    "plt.plot(x, y_test, label='actual', linewidth=2.0)\n",
    "\n",
    "\n",
    "timeseries_cv = TimeSeriesSplit(n_splits=5)\n",
    "cv = cross_val_score(xgb_reg, X_train, y_train, \n",
    "                        cv=timeseries_cv, scoring='neg_mean_absolute_error')\n",
    "mae = -1 * cv.mean()\n",
    "deviation = cv.std()\n",
    "\n",
    "# hard-coded to be 95% confidence interval\n",
    "scale = 1.96\n",
    "margin_error = mae + scale * deviation\n",
    "lower = prediction - margin_error\n",
    "upper = prediction + margin_error\n",
    "\n",
    "fill_alpha = 0.2\n",
    "fill_color = '#66C2D7'\n",
    "plt.fill_between(x, lower, upper, color=fill_color, alpha=fill_alpha, label='95% CI')      \n",
    "\n",
    "# if plot_anomalies:\n",
    "#     anomalies = np.array([np.nan] * len(y_test))\n",
    "#     anomalies[y_test < lower] = y_test[y_test < lower]\n",
    "#     anomalies[y_test > upper] = y_test[y_test > upper]\n",
    "#     plt.plot(anomalies, 'o', markersize=10, label='Anomalies')\n",
    "\n",
    "error = mean_absolute_percentage_error(prediction, y_test)\n",
    "plt.title('Mean absolute percentage error {0:.2f}%'.format(error))\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.12.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}