ARIMA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "33ac6077",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.arima_process import arma_generate_sample\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "from sklearn.metrics import mean_absolute_percentage_error\n",
    "from statsmodels.tools.sm_exceptions import ValueWarning\n",
    "from matplotlib import pyplot\n",
    "from pmdarima import auto_arima\n",
    "from tqdm import tqdm\n",
    "import warnings\n",
    "\n",
    "#in practice do not supress these warnings, they carry important information about the status of your model\n",
    "warnings.filterwarnings('ignore', category=ValueWarning)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccf96977",
   "metadata": {},
   "source": [
    "### Preparing the dataset for the time serie analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "445607a6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date          object\n",
      "Open         float64\n",
      "High         float64\n",
      "Low          float64\n",
      "Close        float64\n",
      "Adj Close    float64\n",
      "Volume         int64\n",
      "dtype: object\n",
      "Date          object\n",
      "Open         float64\n",
      "High         float64\n",
      "Low          float64\n",
      "Close        float64\n",
      "Adj Close    float64\n",
      "Volume         int64\n",
      "dtype: object\n",
      "Date          object\n",
      "Open         float64\n",
      "High         float64\n",
      "Low          float64\n",
      "Close        float64\n",
      "Adj Close    float64\n",
      "Volume         int64\n",
      "dtype: object\n"
     ]
    }
   ],
   "source": [
    "tickerSymbol = 'AAPL'\n",
    "data= pd.read_csv('data/AAPL.csv')\n",
    "data_daily= pd.read_csv('data/AAPL_daily.csv')\n",
    "data_weekly= pd.read_csv('data/AAPL_weekly.csv')\n",
    "data_monthly= pd.read_csv('data/AAPL_monthly.csv')\n",
    "df = pd.DataFrame(data)\n",
    "df_day = pd.DataFrame(data_daily)\n",
    "df_week = pd.DataFrame(data_weekly)\n",
    "df_mon = pd.DataFrame(data_monthly)\n",
    "dfs = [df_day, df_week, df_mon]\n",
    "for df in dfs:\n",
    "    print(df.dtypes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "56502aaf",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date         0\n",
      "Open         0\n",
      "High         0\n",
      "Low          0\n",
      "Close        0\n",
      "Adj Close    0\n",
      "Volume       0\n",
      "dtype: int64\n",
      "Date         0\n",
      "Open         0\n",
      "High         0\n",
      "Low          0\n",
      "Close        0\n",
      "Adj Close    0\n",
      "Volume       0\n",
      "dtype: int64\n",
      "Date         0\n",
      "Open         0\n",
      "High         0\n",
      "Low          0\n",
      "Close        0\n",
      "Adj Close    0\n",
      "Volume       0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "for df in dfs:\n",
    "    print(df.isna().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "83f24f63",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            Date       Open       High        Low      Close  Adj Close  \\\n",
      "0     2008-02-01   4.865714   4.878214   4.720714   4.776786   4.071817   \n",
      "1     2008-02-04   4.793214   4.853571   4.693571   4.701786   4.007886   \n",
      "2     2008-02-05   4.658214   4.785714   4.603571   4.620000   3.938171   \n",
      "3     2008-02-06   4.672500   4.711429   4.348929   4.357143   3.714106   \n",
      "4     2008-02-07   4.284643   4.456429   4.188214   4.330000   3.690970   \n",
      "...          ...        ...        ...        ...        ...        ...   \n",
      "3066  2020-04-07  67.699997  67.925003  64.750000  64.857498  63.690235   \n",
      "3067  2020-04-08  65.684998  66.842499  65.307503  66.517502  65.320358   \n",
      "3068  2020-04-09  67.175003  67.517502  66.175003  66.997498  65.791725   \n",
      "3069  2020-04-13  67.077499  68.425003  66.457497  68.312500  67.083061   \n",
      "3070  2020-04-14  70.000000  72.062500  69.512497  71.762497  70.470955   \n",
      "\n",
      "          Volume  \n",
      "0     1010744000  \n",
      "1      899234000  \n",
      "2     1141042000  \n",
      "3     1573272400  \n",
      "4     2083331600  \n",
      "...          ...  \n",
      "3066   202887200  \n",
      "3067   168895200  \n",
      "3068   161834800  \n",
      "3069   131022800  \n",
      "3070   194994800  \n",
      "\n",
      "[3071 rows x 7 columns]\n",
      "           Date       Open       High        Low      Close  Adj Close  \\\n",
      "0    2008-01-28   4.623214   4.880357   4.621429   4.776786   4.071817   \n",
      "1    2008-02-04   4.793214   4.853571   4.188214   4.481429   3.820050   \n",
      "2    2008-02-11   4.571786   4.678571   4.415000   4.451071   3.794172   \n",
      "3    2008-02-18   4.499643   4.526786   4.138214   4.266429   3.636780   \n",
      "4    2008-02-25   4.235357   4.721429   4.122857   4.465000   3.806045   \n",
      "..          ...        ...        ...        ...        ...        ...   \n",
      "633  2020-03-16  60.487499  64.769997  57.000000  57.310001  56.278568   \n",
      "634  2020-03-23  57.020000  64.669998  53.152500  61.935001  60.820328   \n",
      "635  2020-03-30  62.685001  65.622498  59.224998  60.352501  59.266308   \n",
      "636  2020-04-06  62.724998  67.925003  62.345001  66.997498  65.791710   \n",
      "637  2020-04-13  67.077499  72.062500  66.457497  71.762497  70.470947   \n",
      "\n",
      "         Volume  \n",
      "0    2356418400  \n",
      "1    7052852800  \n",
      "2    5251344000  \n",
      "3    4440478000  \n",
      "4    7110535600  \n",
      "..          ...  \n",
      "633  1620263600  \n",
      "634  1384190000  \n",
      "635   837010800  \n",
      "636   735437600  \n",
      "637   326017600  \n",
      "\n",
      "[638 rows x 7 columns]\n",
      "           Date       Open       High        Low      Close  Adj Close  \\\n",
      "0    2008-02-01   4.865714   4.878214   4.122857   4.465000   3.806046   \n",
      "1    2008-03-01   4.444286   5.205000   4.214286   5.125000   4.368642   \n",
      "2    2008-04-01   5.225000   6.428571   5.128929   6.212500   5.295647   \n",
      "3    2008-05-01   6.248571   6.865714   6.142857   6.741071   5.746210   \n",
      "4    2008-06-01   6.735714   6.783929   5.862500   5.980000   5.097459   \n",
      "..          ...        ...        ...        ...        ...        ...   \n",
      "142  2019-12-01  66.817497  73.492500  64.072502  73.412498  71.920586   \n",
      "143  2020-01-01  74.059998  81.962502  73.187500  77.377502  75.805000   \n",
      "144  2020-02-01  76.074997  81.805000  64.092499  68.339996  66.951172   \n",
      "145  2020-03-01  70.570000  76.000000  53.152500  63.572498  62.428356   \n",
      "146  2020-04-01  61.625000  73.632500  59.224998  73.449997  72.128082   \n",
      "\n",
      "          Volume  \n",
      "0    24865954400  \n",
      "1    22927273600  \n",
      "2    22786982400  \n",
      "3    18588214400  \n",
      "4    19475794800  \n",
      "..           ...  \n",
      "142   2388794800  \n",
      "143   2934370400  \n",
      "144   3019279200  \n",
      "145   6280072400  \n",
      "146   3265299200  \n",
      "\n",
      "[147 rows x 7 columns]\n"
     ]
    }
   ],
   "source": [
    "for i, df in enumerate(dfs):\n",
    "    print(dfs[i])\n",
    "    dfs[i] = dfs[i].rename(columns={\"Date\": \"date\", \"Close\": \"close\", 'Open':'open', 'High':'highest', 'Low':'lowest','Volume':'volume'})\n",
    "    dfs[i]['returns'] = ((dfs[i]['close'] - dfs[i]['open']) / dfs[i]['open']) * 100\n",
    "    dfs[i]['date_'] = dfs[i]['date']\n",
    "    dfs[i].set_index(\"date_\", inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "956f0601",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              open      highest       lowest        close    Adj Close  \\\n",
      "count  3071.000000  3071.000000  3071.000000  3071.000000  3071.000000   \n",
      "mean     25.073663    25.319095    24.831513    25.085161    23.213939   \n",
      "std      16.788261    16.971821    16.640988    16.820934    16.666973   \n",
      "min       2.835357     2.928571     2.792857     2.792857     2.380681   \n",
      "25%      11.955714    12.028393    11.849822    11.947143    10.183958   \n",
      "50%      22.321428    22.547501    22.096430    22.296785    19.256674   \n",
      "75%      35.310000    35.452501    35.076251    35.246251    33.128231   \n",
      "max      81.184998    81.962502    80.837502    81.800003    80.327812   \n",
      "\n",
      "             volume      returns  \n",
      "count  3.071000e+03  3071.000000  \n",
      "mean   3.782496e+08     0.021805  \n",
      "std    3.285542e+08     1.587396  \n",
      "min    4.544800e+07   -12.004678  \n",
      "25%    1.351788e+08    -0.764913  \n",
      "50%    2.767912e+08     0.053264  \n",
      "75%    5.017710e+08     0.839450  \n",
      "max    2.622057e+09    12.952174  \n",
      "             open     highest      lowest       close   Adj Close  \\\n",
      "count  638.000000  638.000000  638.000000  638.000000  638.000000   \n",
      "mean    24.999260   25.706822   24.428537   25.124459   23.253842   \n",
      "std     16.738598   17.283545   16.420573   16.930209   16.776800   \n",
      "min      2.926071    3.214286    2.792857    2.940357    2.506414   \n",
      "25%     11.772589   12.277679   11.656250   11.967858   10.201615   \n",
      "50%     22.020892   22.846071   21.663035   22.096429   19.142029   \n",
      "75%     35.036873   35.722500   34.875625   35.236876   33.119420   \n",
      "max     79.297501   81.962502   78.912498   81.237503   79.775436   \n",
      "\n",
      "             volume     returns  \n",
      "count  6.380000e+02  638.000000  \n",
      "mean   1.822806e+09    0.448714  \n",
      "std    1.517847e+09    4.085667  \n",
      "min    2.631020e+08  -18.851359  \n",
      "25%    6.804447e+08   -1.964478  \n",
      "50%    1.376474e+09    0.621825  \n",
      "75%    2.487721e+09    2.825150  \n",
      "max    1.003061e+10   19.416038  \n",
      "             open     highest      lowest       close   Adj Close  \\\n",
      "count  147.000000  147.000000  147.000000  147.000000  147.000000   \n",
      "mean    25.051076   26.722199   23.551018   25.416618   23.513030   \n",
      "std     16.815174   18.104906   15.684360   17.122364   16.965627   \n",
      "min      3.067143    3.470357    2.792857    3.048214    2.598352   \n",
      "25%     12.093750   12.570714   11.517857   12.270535   10.459623   \n",
      "50%     21.996786   23.762501   20.989286   22.607143   20.049576   \n",
      "75%     35.200001   36.245001   34.638750   35.913749   33.755615   \n",
      "max     76.074997   81.962502   73.187500   77.377502   75.805000   \n",
      "\n",
      "             volume     returns  \n",
      "count  1.470000e+02  147.000000  \n",
      "mean   7.913853e+09    1.877934  \n",
      "std    6.239108e+09    8.458623  \n",
      "min    1.493216e+09  -34.071923  \n",
      "25%    2.971012e+09   -3.178604  \n",
      "50%    6.280072e+09    2.544811  \n",
      "75%    1.120640e+10    7.411725  \n",
      "max    4.142671e+10   20.885783  \n"
     ]
    }
   ],
   "source": [
    "for df in dfs:\n",
    "    print(df.describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "688e8460",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Checking the stationary of the data: stock value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "41dd8e21",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JCVi+fLkjXomIiKhVNTmJ3rhxI4qKivD4448DqF6pUyaTISAgwKRd3dU8LUlJScEbb7zR1DCIiKgdydGUiOeN9TJzde7GjR8/HuPHj2+wXiKRYOHChVi4cGGDbQIDA7F27dqWCI+IiMipNTmJXr16NcaOHdvsYVvJyclISkoSr7VaLfeOJCIii+ouFDYqqnaLpfq58pnC0ur2TKKJGtRl3hZHh2DRucXxjg6BiKhRTUqiz58/jx9++AFff/21WKZSqaDX61FUVGTSG113NU9LuOUFERFZq1xnAAAMiQyE1L3htTE/31u90jRX5yYiIiJ7s2l17hppaWkIDg5GfHztXwpjYmLg4eFhsppnTk4OcnNzxdU8iYiImqNmZW4fmbtJef1UudJQvZd0I3k2ERERUZPY3BNtNBqRlpaG6dOnQyqtvV2hUGDmzJlISkpCYGAg/P398eyzz0KtVnNlbiIisotyXXUS7S1v/Our0nBzn2gO5yYiIiI7szmJ/uGHH5Cbm4sZM2aY1S1dulRcoVOn0yEuLg4rVqywS6BERERl+urh3PV7ousP265ZnZtJNBEREdmbzUn0mDFjINxc9bQ+T09PpKamIjU1tdmBERER1Vd+czi3t8z06+v28A4m1zXDuaWcE00O5qyLdxERUdNxthgREbmM1B/PAAB85KY90TKpG2J7167WrasyiuVERERE9sTfLoiIyCUUaCvEc4WXh1l93aHbuqrqYd9MoomIiMje+NsFERG5hLKbi4oBgK/cPImuO/25pifag8tzExERkZ3xtwsiInJ6uVfLMeofGeK1r6f5kh51e6Jrlu5gTzQRERHZG3+7ICIip/d//8oyuQ5VeJq1qb9CNwDImUQTERGRnfG3CyIicnoXrt8wuY6J6GDW5r7eSrMyTw93szIiIiKi5mASTURETq1mkbC6JBb2f47vH2JW5illEk1ERET2xSSaiIic2sV6vdANcbOQWMs9+DVHRERE9sXfLoiIyKkdz9da1c48hQZ2n75i32CIiIio3WMSTURETu16ud6qdhY6onHkQrGdoyEiIqL2jkk0ERE5tZKKqls3guV50kRERET2xiSaiIic2tVS057oe3t1svrecf1U9g6HiIiI2jmpowMgIiJqzMe7zwIAnh/dA8O7BaF/5wCr7310aEQLRUVERETtFZNoIiJyCbd18MLQrkE23SN154ArIiIisi/+dkFERE5LEATx/N5ewTbfz2nSREREZG9MoomIyGnpqozieVP2fHZjEk1ERER2xiSaiIiclt5QJ4mW2v6VxRW7iYiIyN6YRBMRkdPSVdYm0bImzG92YxJNREREdsYkmoiInJauygAAkEndmtSrzBSaiIiI7I1JNBEROa38ogoAgL7O3GhbsCeaiIiI7I1JNBEROa1H/7W3WfczhyYiIiJ7YxJNREROq+7CYk3BJJqIiIjsjUk0ERG1WRzOTURERPbGJJqIiNosJtFERERkb0yiiYiozaqoNDg6BCIiImpjbE6iL168iEcffRRBQUHw8vJCv379cODAAbFeEAQsWLAAISEh8PLyQmxsLE6dOmXXoImIiKzR3DnVRERERPXZlERfv34dI0aMgIeHB7777jucOHEC//jHP9ChQwexzZIlS7B8+XKsWrUKe/fuhY+PD+Li4lBRUWH34ImIqH14a1LfJt3Hnmhzr7/+OiQSickRFRUl1ldUVCAxMRFBQUHw9fVFQkICCgoKTJ6Rm5uL+Ph4eHt7Izg4GC+88AKqqqpa+1WIiIgcQmpL43feeQdhYWFIS0sTyyIjI8VzQRCwbNkyzJ8/HxMnTgQAfPrpp1Aqldi4cSOmTJlip7CJiKitK9XVJmVxfVRW3fPU3d2wKuOMeN0j2M/ucbUFffr0wQ8//CBeS6W1vw7MnTsXW7Zswfr166FQKDB79mxMnjwZu3fvBgAYDAbEx8dDpVJhz549uHTpEh577DF4eHjg7bffbvV3ISIiam029UR/++23GDx4MB588EEEBwdj0KBB+Oijj8T6s2fPQqPRIDY2VixTKBQYOnQoMjMzLT5Tp9NBq9WaHERERJlnrornAd4eVt3T9zZ/8XxsXxVUCk+7x9UWSKVSqFQq8ejYsSMAoLi4GKtXr8a7776LUaNGISYmBmlpadizZw+ysrIAAN9//z1OnDiBzz77DAMHDsTYsWPx5ptvIjU1FXq93pGvRURE1CpsSqJ///13rFy5Ej169MD27dvx9NNP47nnnsMnn3wCANBoNAAApVJpcp9SqRTr6ktJSYFCoRCPsLCwprwHERG1MT5yd/Hcw926ryupW2271//Qx+4xtRWnTp1CaGgounbtiqlTpyI3NxcAkJ2djcrKSpM/hkdFRSE8PFz8Y3hmZib69etn8l0fFxcHrVaL48ePN/iZ/KM5ERG1FTYl0UajEbfffjvefvttDBo0CLNmzcKTTz6JVatWNTmA5ORkFBcXi0deXl6Tn0VERG1HSUX1cO5+tymsvsfDvXZLK25uZdnQoUOxZs0abNu2DStXrsTZs2dx5513oqSkBBqNBjKZDAEBASb31P1juEajsfjH8pq6hvCP5kRE1FbYNCc6JCQE0dHRJmW9e/fGf//7XwCASlU9Z62goAAhISFim4KCAgwcONDiM+VyOeRyuS1hEBFRO/Dnf2cDAG7YsDiYtE6PtYR7RFs0duxY8bx///4YOnQoIiIi8OWXX8LLy6vFPjc5ORlJSUnitVarZSJNREQuyaae6BEjRiAnJ8ek7OTJk4iIiABQvciYSqVCenq6WK/VarF3716o1Wo7hEtERO3N6cJSq9t6uNXpiWYObZWAgAD07NkTp0+fhkqlgl6vR1FRkUmbgoIC8Q/lKpXKbLXumuuaNpbI5XL4+/ubHERERK7IpiR67ty5yMrKwttvv43Tp09j7dq1+PDDD5GYmAig+q/+c+bMwVtvvYVvv/0WR48exWOPPYbQ0FBMmjSpJeInIqI2SBAE8XxIl0Cr73Ovk0S7MYu2SmlpKc6cOYOQkBDExMTAw8PD5I/hOTk5yM3NFf8YrlarcfToURQWFoptduzYAX9/f7PRakRERG2RTcO577jjDmzYsAHJyclYuHAhIiMjsWzZMkydOlVs8+KLL6KsrAyzZs1CUVERRo4ciW3btsHTkyukEhG5kh9/K0QHHxkGhgW0+mcbjLVJ9Dt/7G/1faZJtF1DajP++te/YsKECYiIiEB+fj5ee+01uLu745FHHoFCocDMmTORlJSEwMBA+Pv749lnn4VarcawYcMAAGPGjEF0dDSmTZuGJUuWQKPRYP78+UhMTOT0LCIiahdsSqIBYPz48Rg/fnyD9RKJBAsXLsTChQubFRgRETlO7tVyPLFmPwDg3OL4Vv/8SkNtEq30tz4xq5tES7i0mEUXLlzAI488gqtXr6JTp04YOXIksrKy0KlTJwDA0qVL4ebmhoSEBOh0OsTFxWHFihXi/e7u7ti8eTOefvppqNVq+Pj4YPr06fzeJyKidsPmJJqIiNq+c1fLxHNBEFp9kS69wSie19226lZMkmibJiy1H+vWrWu03tPTE6mpqUhNTW2wTUREBLZu3Wrv0IiIiFwCf8UgIiKRwSjgSqnOZDh13YS2teiqqlfklkhMt626FdOeaCIiIiL7YxJNRESipC8PYfBbP2Dv2WtiWYW+9ZPocl11Eu0jk9rUC86FxYiIiKilMYkmIiLRN4fyAQCrMs6IZcfyi1s9jvXZeQCAUl2VTfe5S5hEExERUctiEk1ERI166t/Zrf6ZqT+euXUjC9y5TzQRERG1MCbRREQEwHRv5rpKbOwNdiR37mtFRERELYxJNBERAQDK9YYG64xGywm2vX2+9zyiF2xr8v2BPjLxnAk1ERERtQRucUVERACAa2X6Buu6vrwVW54biT6hihaN4ZUNx0yuR3bvaNP9fp4e2PDMcEjd3ODhzr8TExERkf3xNwwiIgIAFN+obLR+8oo9rRRJrbBAb5vvGRTeAf06t2yyT0RERO0Xk2giIgIAaCsaT6J1Va2/1RU7k4mIiMjZ8NcTIiICAJRUON8CYt4yzjoiIiIi58IkmoiIAABLd5x0dAhm/hjT2dEhEBEREZlgEk1ERDhdWILfNCWODgNdO/qI5x195eip9HNgNERERETmmEQTEZHJ9lbx/ULw2cyhCPaTt3ocxpt7VY/rp0Jm8qhW/3wiIiKiW2ESTUREMNTZB7rPbf4Y2aMjugT5NHJHyyjVVc/Lfm50D25RRURERE6JK7YQERFuVNb2RD8+vAsA4Kl7umLfmmst+rkVlQas2HUGsb2D4e4mwZXS6r2q/T09WvRzich5dZm3xdEhNOjc4nhHh0BEToBJNBERQVdZvX1V/84KcUXsUVFKZCWPxrCU9GY9+2DudWhvVOKeXsFmdasyzmB5+iksTz9lUq7y92zWZxIRERG1FCbRREQk9kR7eriblKsUtclsT6Vvk549ecUeAEBm8iiEKLxM6o7na83ad/SVwc1N0qTPIiIiImppnHBGRES4Xl49jLp+Eg0Af/tjfwDAyYJSCIJgVt+Y7PO1w8ELtDqz+nNXyszKbgvwMisjIiIichZMoomI2rn8oht4ZcMxAEAnX/MVuesu8HXiknnPcWN+yS1qsE4QBJwqLDUrP1lgXkZERETkLJhEExG1cyt3nRHPLSXJxjq9z9fLKm169q+XaveeLtdXmdRptBUW76m7yBkRERGRs2ESTUTUztVsKwUAM0Z0Mauvs/sVqoxGq58rCAL+e/CCeF2uM02Oy3RMlomIiMj1MIkmImrnlHVWwv5jTGez+ro90UYb5kTrqkwT7rJ6PdHJXx+x+llEREREzoJJNBFRO1eTGP/5rq6QSMxXxTbW6YrWV1nfE123hxsw7Xn+d9Z57D933eJ9Dw8Os/oziIiIiFqbTUn066+/DolEYnJERUWJ9RUVFUhMTERQUBB8fX2RkJCAgoICuwdNRET2U2moTozdG9hWylCn97l+73Jj8q6Vm1zXnRP96sZjDd73l7ieVn8GERERUWuzuSe6T58+uHTpknj8/PPPYt3cuXOxadMmrF+/HhkZGcjPz8fkyZPtGjAREdmX4WZPs7SBJPqGvrYHucpg/XDuonLTRcjq90w3JNjP89aNiIiIiBxEavMNUilUKpVZeXFxMVavXo21a9di1KhRAIC0tDT07t0bWVlZGDZsWPOjJSIiu6uqSaLdLf9dNbTOvs01vdbWWP3zWZPrcv2tFxJ7bUK01c8nIiIicgSbe6JPnTqF0NBQdO3aFVOnTkVubi4AIDs7G5WVlYiNjRXbRkVFITw8HJmZmQ0+T6fTQavVmhxERNR6DDd7lxsazn1/n9o/nFqbROcX3cDPp6+YlJXd7In+7uilBu97YkSkVc8nIiIichSbkuihQ4dizZo12LZtG1auXImzZ8/izjvvRElJCTQaDWQyGQICAkzuUSqV0Gg0DT4zJSUFCoVCPMLCuKAMEVFrqry5bVVDw7nd3CSYODAUAKC3cjj33rNXzcpqkuinPz8olr08rnZdjUeHhVsXMBEREZED2ZREjx07Fg8++CD69++PuLg4bN26FUVFRfjyyy+bHEBycjKKi4vFIy8vr8nPIiIi29XMiW6oJxoAPG4O9ba2J9pX7iGeP3hz26wyvQGFJRUm7aYN6yKeDwrrYNWziYiIiBypWVtcBQQEoGfPnjh9+jRUKhX0ej2KiopM2hQUFFicQ11DLpfD39/f5CAiotZTdYuFxYA6SbSVq3OX6qoXFRvRPQgjuncEUL1AWYXe9H6Z1M3iOREREZGzatZvLKWlpThz5gxCQkIQExMDDw8PpKeni/U5OTnIzc2FWq1udqBERGR/giBgy5HqOcoNLSwGAB7u1Qm2NT3RmWeuYu4XhwEAHX3lYg93ldGIs1fLTNrWzdvlTKKJiIjIBdj0G8tf//pXZGRk4Ny5c9izZw8eeOABuLu745FHHoFCocDMmTORlJSEH3/8EdnZ2XjiiSegVqu5MjcRkZO4WHQDf11/GGevVCeze87Uzl22pif6fL29ny155KMs8byn0k9Moo1GYPrH+8S6jx4bDImk9jPZE01ERESuwKbfWC5cuIBHHnkEvXr1wkMPPYSgoCBkZWWhU6dOAIClS5di/PjxSEhIwF133QWVSoWvv/66RQInIiLbvfTVEXyVfQH3/n0XAODIhWKxzq2RJLr4RvXw7G8O5dv0eR19ZSY90XXdF600ufaW2bzrIjXT4sWLIZFIMGfOHLGsoqICiYmJCAoKgq+vLxISElBQUGByX25uLuLj4+Ht7Y3g4GC88MILqKqybh9wIiIiV2fTbyzr1q1rtN7T0xOpqalITU1tVlBERNQy6m47VVFpwDvbfhOvqxpZefvclbIG6xqj8JLB/WZvc0OPf0wdgbxr5RgcwYXFWtP+/fvxz3/+E/379zcpnzt3LrZs2YL169dDoVBg9uzZmDx5Mnbv3g0AMBgMiI+Ph0qlwp49e3Dp0iU89thj8PDwwNtvv+2IVyEiImpVHDtHRNQO6KuMyKs3FPv/6gy7Bmq3oLLErc6w65rVvK2h8PIQe6IP5xVB5e8JAHj/kUFim4UT+yLtiSGN9oSTfZWWlmLq1Kn46KOP0KFD7R8viouLsXr1arz77rsYNWoUYmJikJaWhj179iArq/qfl++//x4nTpzAZ599hoEDB2Ls2LF48803kZqaCr1e76hXIiIiajVMoomI2oFZ/z6AO5f8aFJ2MLfI5FpAw8mxW51vC2u3uQKAYH85UCc31mirt7jq1snX6meQ/SUmJiI+Ph6xsbEm5dnZ2aisrDQpj4qKQnh4ODIzMwEAmZmZ6NevH5TK2uH4cXFx0Gq1OH78eIOfqdPpoNVqTQ4iIiJXxCSaiKgd2JVzudH6O7p0wMN3hDdYX7cnWm9DEh2i8ESF3mBW7iN3t/oZZF/r1q3DwYMHkZKSYlan0Wggk8kQEBBgUq5UKqHRaMQ2dRPomvqauoakpKRAoVCIR1hYWDPfhIiIyDGYRBMREdY/NRwKL48G6+vk0NA3sld04c2e5hreMinKLSTRXETMMfLy8vD888/j888/h6enZ6t+dnJyMoqLi8UjLy+vVT+fiIjIXphEExG1cYLQ+BzmVY/G3PIZkR19xPPGhnMXaHVmZeWVlpJo9kQ7QnZ2NgoLC3H77bdDKpVCKpUiIyMDy5cvh1QqhVKphF6vR1FRkcl9BQUFUKlUAACVSmW2WnfNdU0bS+RyOfz9/U0OIiIiV8QkmoiojbteXtlo/bCugbd8xgtjosTz5emnG0zMb9RJmP89cwgAoJOvzKydlweTaEcYPXo0jh49ikOHDonH4MGDMXXqVPHcw8MD6enp4j05OTnIzc2FWq0GAKjVahw9ehSFhYVimx07dsDf3x/R0dGt/k5EREStjePpiIjauGtl1b3DXh7u+GXBfdBWVGLIotokyc+z4WHcNRTeHgjw9kBReSX+sy8Xo6OCEVtvn2cAKCqvXp15QFgA7uzRCQAwJtq0d9Jb5s6VuB3Ez88Pffv2NSnz8fFBUFCQWD5z5kwkJSUhMDAQ/v7+ePbZZ6FWqzFs2DAAwJgxYxAdHY1p06ZhyZIl0Gg0mD9/PhITEyGXy1v9nYiIiFobk2giojauorJ6+LW/lxSeHu7wrNcL7G5lQitzrx28lFtvu6waxTeqe73rzq+unzBzPrRzW7p0Kdzc3JCQkACdToe4uDisWLFCrHd3d8fmzZvx9NNPQ61Ww8fHB9OnT8fChQsdGDUREVHr4W8yRERtzMsbjqKyyoglf+wPiUSCiptDrOsnzwCw6IG+ZmUN8aiTRBsbGM5tKYkGgAkDQrHpcD4Azod2Nrt27TK59vT0RGpqKlJTUxu8JyIiAlu3bm3hyIiIiJwT50QTEbUhJRWVWLs3F+uzL+BScfVK2TU90Z7S2uT1tQnRGN8/BA8Ptn6boSul5ouG1ae5+ZmdfE2H9U4edJt4Lpfyq4eIiIhcF3+TISJyYWcul+LlDUdx7koZAGDr0UtiXU2vsK6qpie69j/5T4yIxAf/dzuk7tZ/DejqbG3V0ILf18qq50Qr/U2TaK86vc9yD371EBERkevicG4iIhc269MDOHO5DAaDgClDwvDSf4+KdVuOXMKRC0VYsi0HACC344rYFRa2rQKAiirLQ8eD/WqT6utlja8WTkREROTMmEQTEbmgG/rqZPXM5eoe6C8O5OH2iACTNlfLdPjgx9PitT2HUXf0s7wKszh0vF5vc0RQ7T7TF4tu2C0OIiIiotbGJJqIyAXkaErw6Oq9mBPbA1PuCMfwxekwGE3HVEvdTBNXfZVpvZ+n/f6TX2UwmpVVVBqw87fqvYObugI4ERERkbNjEk1E5AJW7jqNyyU6vLLhGL4/XoDr5eZDosvrDbH+36nLJtehCi+7xVN3frTRKOBUYSle+/aYWCaXcgVuIiIiapuYRBMRuYBThaXiecbJyxbbFGorTK9LTFfT9rDjcG59nZ7o1B9P4x87TprU1x/ODQAe7hJUGhpYkYyIiIjIRXCJVCIiF+AmufVw6Pd3Vs9/bmjYttSOQ6qr6iTD9RNowPLq3Xd0CQRg32HlRERERK2NSTQRkQvwsmFl7bpDreuqP2faVmGBtcPBczQljbbtHuxrVrbs4YGYro7A108Pb1YcRERERI7EJJqIyAXUbB1lDXXXIIvlUvfm9UT/58lh4vmWo5egrbC8VdW2OXciLNDbrDzY3xNvTOyLHkq/ZsVBRERE5EhMoomInJwgCDhyodjq9vPje1ss92hmEt25gzcGdFaI14VanVmbsEAvRKn8m/U5RERERM6MSTQRkZPLPn+90fpx/VTiuZ+nFKEBllfhbu5wbgA4bJLMV098jlLV9iz/78VRzf4MIiIiImfG1V2IiJzcpeLaVbdfmxCNKJU/BAjo3skXAgB1SrpYL5e6m+3RXMNb1vxtp778sxoP/TMTAFCurx5irr85B/vTGUOa/XwiIiIiZ8ckmojIyXm41/YgPzIk3CxJHtcvBJuPXAJQvbWUewOrcHvZIYkeEhkonv98+gr6dw7A71fK7PZ8IiIiImfH4dxERE6mUFsh9u4C1XOiAaCjr8xiL/OjwyLEc3kje0HbssK3NZZsy4HRWLuXVbiFxcSIiIiI2hom0URETmTHiQIMeTsdr2w4KpbVbFnVO8Tygl11E2u5tPo8ro8SwX5yk0XGrNlr2lZ6Q22yb4/h4kRERETOrllJ9OLFiyGRSDBnzhyxrKKiAomJiQgKCoKvry8SEhJQUFDQ3DiJiNo8QRDwj+9zAADrsy+I5bqb21s11MssqzPcu7CkesXsVY/GYPe8UfCW1c7aKdNX2SXOmlW+4/uHoLJOEl132DkRERFRW9Xk33j279+Pf/7zn+jfv79J+dy5c7Fp0yasX78eGRkZyM/Px+TJk5sdKBFRW1amq0Jk8lb8pikRy47eXAm7orI6UZU1lERLa3uYr5RWJ9ESiQQe7m6YMCBErGuoJ9tWs+7qCgDo5CtHpaF2OLeMSTQRERG1A036jae0tBRTp07FRx99hA4dOojlxcXFWL16Nd59912MGjUKMTExSEtLw549e5CVlWXxWTqdDlqt1uQgImpvFnxz3Kxswgc/41BeEV77trquZqh2fY31APt5eiDjhXuwbtYw9FT6NdjOFjVx6KqMYk+01E0CtwYWNCMiIiJqS5qURCcmJiI+Ph6xsbEm5dnZ2aisrDQpj4qKQnh4ODIzMy0+KyUlBQqFQjzCwsKaEhIRkUv778ELFsv/vj1HPG9wOHcji4kBQESQD4Z1DWp6cA18nq7KIC6AxqHcRERE1F7YvMXVunXrcPDgQezfv9+sTqPRQCaTISAgwKRcqVRCo9FYfF5ycjKSkpLEa61Wy0SaiOimwxeKxPOGkujWTmBr4vj64EX0VlUPEb9RaWjVGIiIiIgcxaYkOi8vD88//zx27NgBT09PuwQgl8shl8vt8iwiImemrzLCYBTM9lOuu01UfSUVtYuBXS3TW2wjbeVh1HWHlS/a+murfjYRERGRo9nUfZGdnY3CwkLcfvvtkEqlkEqlyMjIwPLlyyGVSqFUKqHX61FUVGRyX0FBAVQqlT3jJiJyKZUGI0a/uwux72bg0X/tNRmmfb3cNDle9ejt6BNqvgjY1VLLSXRDc6Vbyq2GjxMRERG1ZTb9JjR69GgcPXoUhw4dEo/Bgwdj6tSp4rmHhwfS09PFe3JycpCbmwu1Wm334ImIXMXlEh3yrt3AxaIb+Pn0FXzw42kcyisCANTviL6/bwj8PT3MnvHhYzEWn123Z3tk9452i7khNVtcEREREbVHNg3n9vPzQ9++fU3KfHx8EBQUJJbPnDkTSUlJCAwMhL+/P5599lmo1WoMGzbMflETEbmYj38+a1Z2+eaeztuP164ZsTFxBAAgv/iGSdtzi+Mbff5XT6nxSeZ5zI/v3dxQb8lNwiSaiIiI2i+bFxa7laVLl8LNzQ0JCQnQ6XSIi4vDihUr7P0xREQuJevsVbMyg7F6Zev5G4+JZQPDAgAApXXmQj8xosstnz+4SyAGdwlsXpBWau052ERERETOpNlJ9K5du0yuPT09kZqaitTU1OY+moiozRjerSOOXdSalNXdZ7m+uitxLxgf3aKx2crdQhK9+dmRDoiEiIiIqPVxdRgiolZQUlFpVqarMmLdvlyL7SM7+YjnEicbPi21MCe6720KB0RCRERE1PqYRBMRtYK6W1Up/au39dNVGXHiUonF9osn98fI7h3xyYwhrRKfLdzdTL86xvXj7gtERETUfjCJJiJqBZuPXAIALHqgL4Z1DQIA6CoNuFhUu4BYsJ9cPA8L9MZnfxqKu3t2at1ArVB/TvS7Dw10TCBEREREDmD3hcWIiMiUts5QbgkkuF5eff3Wll8RqvAEADwY0xnPje7hkPhsVX9OtKdH6+5TTURERORI7IkmImpB+iojrtzcygoAeof44aeTl8Xr/OIKAMA0dQTCAr1bPb6mGNA5wNEhEBERETkMk2giohby9+056Dn/O4z6R4ZYNjAsAB28PczaRgT6mJU5Ky+ZO+7s0dHRYVATrVy5Ev3794e/vz/8/f2hVqvx3XffifUVFRVITExEUFAQfH19kZCQgIKCApNn5ObmIj4+Ht7e3ggODsYLL7yAqqqq+h9FRETUJjGJJiJqARWVBnzw42mzcolEguWPDDIrV1hIrJ2ZpW2uyDV07twZixcvRnZ2Ng4cOIBRo0Zh4sSJOH78OABg7ty52LRpE9avX4+MjAzk5+dj8uTJ4v0GgwHx8fHQ6/XYs2cPPvnkE6xZswYLFixw1CsRERG1Ks6JJiJqAZfrDOGuMSZaCQBQ+nu2djh2ZzAKjg6BmmjChAkm14sWLcLKlSuRlZWFzp07Y/Xq1Vi7di1GjRoFAEhLS0Pv3r2RlZWFYcOG4fvvv8eJEyfwww8/QKlUYuDAgXjzzTfx0ksv4fXXX4dMJnPEaxEREbUa9kQTEbWAO5f8aFb294cGAAC6BPnAR1a9GFd8vxB89ZS6VWOzhydGdAEAp1w9nKxnMBiwbt06lJWVQa1WIzs7G5WVlYiNjRXbREVFITw8HJmZmQCAzMxM9OvXD0qlUmwTFxcHrVYr9mZbotPpoNVqTQ4iIiJXxJ5oIiI7ulR8A+qUnRbr/D2rh2zLpG44MP8+SCSuu7L1qCgl/vfivQhRuH6vent09OhRqNVqVFRUwNfXFxs2bEB0dDQOHToEmUyGgIAAk/ZKpRIajQYAoNFoTBLomvqauoakpKTgjTfesO+LEBEROQCTaCIiO/rjykyT6wcG3YYgHxlGRQWblHvJXDN5rstVVhMnc7169cKhQ4dQXFyMr776CtOnT0dGRsatb2yG5ORkJCUliddarRZhYWEt+plEREQtgUk0EZEdBfnKcLHohnj97kMDIJFwES5yLjKZDN27dwcAxMTEYP/+/Xjvvffw8MMPQ6/Xo6ioyKQ3uqCgACqVCgCgUqmwb98+k+fVrN5d08YSuVwOuVxu5zchIiJqfZwTTURkJ9qKShy5UAwAGNBZgbMp45hAk0swGo3Q6XSIiYmBh4cH0tPTxbqcnBzk5uZCra6eu69Wq3H06FEUFhaKbXbs2AF/f39ER0e3euxEREStjT3RRER28snuc+L5wol9mUCTU0pOTsbYsWMRHh6OkpISrF27Frt27cL27duhUCgwc+ZMJCUlITAwEP7+/nj22WehVqsxbNgwAMCYMWMQHR2NadOmYcmSJdBoNJg/fz4SExPZ00xERO0Ck2giIjs5fLMX2k0CDAgLcGwwRA0oLCzEY489hkuXLkGhUKB///7Yvn077rvvPgDA0qVL4ebmhoSEBOh0OsTFxWHFihXi/e7u7ti8eTOefvppqNVq+Pj4YPr06Vi4cKGjXomIiKhVMYkmIrsSBAHvbMtBT6UvJt/eWSwvvlGJ7PPXcGePTjhzuRS3BXjB7+Zq1W3FhevlAIAlfxzg4EiIGrZ69epG6z09PZGamorU1NQG20RERGDr1q32Do2IiMglMIkmIrs6cqEYqzLOAAAmDbwNbm7VQ5pnrNmP7PPXMSoqGDt/q55LeebtcXB3kyDvWjmeX/cL/nRnV4zrF+Kw2JujpKISv2lKAABdO/k4OBoiIiIiailcWIyI7EpXZRTPSyqqxPPs89cBQEygAeBgbnXZoi2/4mBuEZ75/GArRWl/R28O5QaAXko/B0ZCRERERC2JSTQR2VWVsTaJXr37bKNtH/kwCwBwrVzfojG1hnNXq4dyj+geBB85B/kQERERtVVMoonIrnblXBbPl6efwr/+93uDbauMAlbsOo3i8srWCK1FvbzhKAAgPNDbwZEQERERUUtidwkR2VVGnSQaAN7a8ive2vJrg+2XbMtp6ZBaVYC3zNEhEBEREVELYk80EdmVl8zd0SE4hNK/en/c0VHBDo6EiIiIiFoSk2gisqtrZdbNb94x9y6L5YIg2DOcViN1q/7PqdSd/1klIiIiasv42x4R2dV1K5Lokd07oofSD+ufUpvV5V270RJhtbiaBdWkN7f0IiIiIqK2yaY50StXrsTKlStx7tw5AECfPn2wYMECjB07FgBQUVGBv/zlL1i3bh10Oh3i4uKwYsUKKJVKuwdORM5HX2VEia7KYt3I7h3R5zZ/dOvkiwdjOgMABoUFmLVbuy8X88ZGWXzG0QvF0BsMiIkItFvM9mIwVvegS92ZRBMRUevqMm+Lo0Ow6NzieEeHQNQibOqJ7ty5MxYvXozs7GwcOHAAo0aNwsSJE3H8+HEAwNy5c7Fp0yasX78eGRkZyM/Px+TJk1skcCJyPkU3qnuhLXXGfvanoUge2xsPDQ6DRFLdQOruhifvjDRp91EDq3lXGYyY8MHPSFiZiYtFztVbfaqgBFdKq9+9Zlg3EREREbVNNvVET5gwweR60aJFWLlyJbKystC5c2esXr0aa9euxahRowAAaWlp6N27N7KysjBs2DD7RU1ETul6WfVWVQovDyx6oB/e33ka7z8yCN2Dfa1+Rp9Qf4vlNfswA8D/Tl7GlCHhzQvWjj7LOi+ee7fThdWIiIiI2osmd5kYDAasW7cOZWVlUKvVyM7ORmVlJWJjY8U2UVFRCA8PR2ZmZoPP0el00Gq1JgcROTdBEHAorwhl9YZuL08/BQC4Xl6Jcf1C8N3zd94yga6/JdSRC8X4+dQVs3ZPfZYtns/7+ii+yr5g9SJmLek/+3LxSWZtEh0a4OXAaIiIiIiopdmcRB89ehS+vr6Qy+V46qmnsGHDBkRHR0Oj0UAmkyEgIMCkvVKphEajafB5KSkpUCgU4hEWFmbzSxBR63o8bT8mpe7G/e/9JJZdLdVhy9FLtj9reBfc26sTpg2LEMseXb3XrN3pwlKT67+uP4zb39xh8+c1hb7KiPd+OIUfcwrN6pK/Piqe//dp84XSiIiIiKhtsWk4NwD06tULhw4dQnFxMb766itMnz4dGRkZTQ4gOTkZSUlJ4rVWq2UiTeTkMk5eBmC6kvbB3CLx/M93d7X6WT5yKdKeGIIzl0vx7zrDogVBEOdON6aoXG/Wm21PhSUVGLIoXbyuWSTFYBQw9V9ZYvnc2J5OueAZEREREdmXzUm0TCZD9+7dAQAxMTHYv38/3nvvPTz88MPQ6/UoKioy6Y0uKCiASqVq8HlyuRxyudz2yInIqfjKa/9zMmd0T5vvrz+XeN3+PKTtPov7+6iQNKZXg/edv1reIkm0vsqI81fL8M2hfIv1/848h6zfr4nXM0Z2sXsMREREROR8mr2MrNFohE6nQ0xMDDw8PJCeXttjk5OTg9zcXKjVHOJI1FbU3wf6f6eqe6Xrdhp7NWFxLS8P03uSvz6KkwWlWL7zNLLPX2/wvi8O5Nn8WdZ4ZcNR3Lf0J3zw42mT8opKAwDgHztOmpT7eXq0SBxERERE5Fxs6olOTk7G2LFjER4ejpKSEqxduxa7du3C9u3boVAoMHPmTCQlJSEwMBD+/v549tlnoVaruTI3URvyr59Nt6Catnof7urZCQ8Nrt77uXeI5dW1b8Vb1vB/jhJW7mmwLjLIp0mfdyvrsy9YLL9cokOwvxwlFbWLqn02c2iLxEBEREREzsemJLqwsBCPPfYYLl26BIVCgf79+2P79u247777AABLly6Fm5sbEhISoNPpEBcXhxUrVrRI4ETkGEbBvOynk5fx08150r9eatoK+zKpGzzcJag0WPiARpTUWyHcEm1FJTzc3JrUQ17fwdzrcKvT7Z7z1v2QS7mtFREREVF7YVMSvXr16kbrPT09kZqaitTU1GYFRUTOq9yKpLWpDsy/DwPe+N6qtpMGhmLjoXzsOX0FSfc1PAf7YO51TF6xB906+SD9L/dYHYvSX44CrU68HhOtxPcnCvD8ukMm7ZhAExEREbUvNi8sRkTtW2FJdWI5OioY6b+Zb/nUHAovDyTd1xPv1ptvXNeiB/qiXGfAd8eqt9M60Mh86SulOkxeUT0U/MzlMuiqDFYnvXXbzY/vbXF7q3H9Gl40kYiI2p4u87Y4OgQicgJMoonIascuFuO7Y9X7vsf1Udk9iQYAubTh9Q4nD7oNU4dW7yd9tUwvbqulrzJCZuG+dftyTa6vlekRovBq8PmZZ67ikY+y4O8phYd79fO2z7kLvVR+0FUZsfv0VZP25XqDVe9ERERERG1Hs1fnJqL246F/Zorn0aFNW0DsViwlwzXe+WN/8fyPMZ3F857zv7PYPm33OZPrq6V6i+0AoMpgxCMfVe/7rK2owtWbq5DXbL0VFuhtdk90ExdRIyIiIiLXxZ5oIrJa3Z7XhhLInX+5u1mfIal3/dakvpC6SZAQ01nsHQYAf89b/+erk59cTIYB4PCFIvS9TWGxbd71GxbLa/a/HtvXdOj2s6O6I/He7reMgYiIiIjaFibRRGQVQ51luVdPHww3t/rpbrWunXzt9pkbnhmOQeEdLNb51kuiBUGApM6q2em/FuA3TYlJm52/ForDwetbnn7KYrm3vLonum4CDwB/GdOr8eCJiIiIqE3icG4iskp2nQW87ukVDAD4YtYwTL79NrG8gbzaJnU3uBoYFtBgOy8P0wXCim9Umlz/p958aKDx7bA2/HLRYnndBcYeHhwGALgtoOF51URERETUtrEnmogsOp5fDDeJBL1vDts+d6VMrHO/mS0P7RqEoV2DsHhyf5y/WoYOPjK7xlC3Z9lS3YH5sRj81g8AgCulegR4135+TkFtL3Tq/92OxLUH8ZuVe1j/39BwrN1rnoS/Mr43unbywfgBoda+AhERERG1MUyiicjMtTI94pf/DAAY3z8Eg8I7oLi8em7x/w0NN2svk7qhh9LPLp/tI7f+P0sdfeXo2tEHv18pw5VSHboHVw8l//jns8i7Vj3H+etnhiOsQ/WiYNqKKrNh3wBgrDNUfcMzw3GqoNRiEu3v6YE/393N5nciIiIioraDSTQRmZn33yPi+eYjl7D5yCWo/D0BACE3/7eljOsXgk2H83FftNKq9h195fj9Shme+fwgFk3qi7H9QrBw8wmxvnOAF+QetTNXKg0CZFLTJLqiqnbBtF4qP0SH+uP7EwUY3i2omW9DRERERG0N50QT3cLVUh3uXLITr3973NGhtAqjUcD3JwrMyjXaCgBARz95i36+r1yKf88cisfUXaxq39Gvegj3tTI9nv78oHm9rxyyOouCFZZU4E+fHEDa7rPiYml1FyDzlLpDLnXHv6YPxoyRkc14EyIiIiJqi5hEE93Cuv15yLt2A2v2nENZIwtTtQX/2ZeLdfvzGm0TaOd5z81VUmH6Mykur11gbN7YKLi5SSCvs/f0un15+OHXAryx6QSeWLMfgiBg8oo9Yn1Dq44TEREREQEczk10S1dLa/cZLizRIdKGObuu5OiFYiR/ffSW7Tr6OlcSff5qucn1rH8fEM+n3+zNlkgkkLm7QW8wIvdabfufTl7GCSsXGyMiIiIiAtgTTdSoLw/k4ePdZ8Xrf/3vdwdG03KMRgEv1ZkH3ZhAn5Ydzm0royCYXO89e008r9sDXXN+seiGSfuaBdSIiIiIiKzBJJqoAduPa/DiV6aJ5ed7cyHUS9pcnSAI6PryVrMe2eSxUVgwPhqfzhiCl8dFieUdvD1aO8RG1WzBZUndodk1i4vV3aqLqD1KSUnBHXfcAT8/PwQHB2PSpEnIyckxaVNRUYHExEQEBQXB19cXCQkJKCgwXSshNzcX8fHx8Pb2RnBwMF544QVUVbXtKS9EREQAk2iiBv3539kWy08XlrZyJC1n/7lrONXA+wyJDMSMkZG4q2cnPHlnV9zfR4Xx/UOg8HKuJDp5bJRV87Sv3ByWf7Ws+n/rLjYGAGP7qvDVU2r7B0jkZDIyMpCYmIisrCzs2LEDlZWVGDNmDMrKav/ANHfuXGzatAnr169HRkYG8vPzMXnyZLHeYDAgPj4eer0ee/bswSeffII1a9ZgwYIFjnglIiKiVtU2J3cStaAL12/YbU9kR9p39hoe+mdmg/X9blOI5xKJBKumxbRGWDbr2skXB1+9D13mbTEpfyGuV6P3/XNaDJ5Ys1+8XjH1drP9o4naom3btplcr1mzBsHBwcjOzsZdd92F4uJirF69GmvXrsWoUaMAAGlpaejduzeysrIwbNgwfP/99zhx4gR++OEHKJVKDBw4EG+++SZeeuklvP7665DJnGvtBCIiIntiTzSRBVUGo3h+b69OSJncT7x+Ys1+XCvTW7rNpcxea74dFAC8Mq43vp09AlJ31/3Pw729OuGpu7uZlPXvrDBtExUsnt8eHsAEmtqt4uJiAEBgYCAAIDs7G5WVlYiNjRXbREVFITw8HJmZ1X94y8zMRL9+/aBU1u7nHhcXB61Wi+PHLW8HqNPpoNVqTQ4iIiJX5Lq/JRPZSF9lxI85hdBXGW/ZVltn26SPHhuMR4aEm8y9XX+g8W2gXEFhic6s7KX7o/DkXV3Rv3NA6wfUTD8k3YXV0wcjK3k0Pn78DrjX26rqP08Oa/DemIgOLR0ekVMyGo2YM2cORowYgb59+wIANBoNZDIZAgICTNoqlUpoNBqxTd0Euqa+ps6SlJQUKBQK8QgLC7Pz2xAREbUOJtHUbjz8YSaeSNuPt7f+esu2xy4Wi+c1PbK/1ll4a/G23+wfYCs6nFdkVvbRY4Px9D3dzBu7iO7BfhjdWwmVwtNir7KPXAo/T9MZLP99Wo0nRnTBnNierRUmkVNJTEzEsWPHsG7duhb/rOTkZBQXF4tHXp7r/zGSiIjaJybR1G78klsEAFiz51yj7QRBwIw6c2VrvDo+uk4be0bW+r6o15Pe0VeGIV0CHRRN63l+dA8AwJKE/gCAmIhAvDahD3za6N7fRI2ZPXs2Nm/ejB9//BGdO3cWy1UqFfR6PYqKikzaFxQUQKVSiW3qr9Zdc13Tpj65XA5/f3+Tg4iIyBUxiaZ2oX7Pq9FongWfv1qGpC8O4dHVe1F1s75uz+xj6ogWjbE1ud/sqe3cwQuHFtyH9L/cA4WTbV3VEmaOjMQvr96Hh+7gMFJqvwRBwOzZs7Fhwwbs3LkTkZGRJvUxMTHw8PBAenq6WJaTk4Pc3Fyo1dUr2KvVahw9ehSFhYVimx07dsDf3x/R0dEgIiJqy9j9Qu3CxNTdJtd9XtuOQ6/dB7nUXSy7+2+7zO5LvLe7eO5Rb6EtfZURMqlr/h3q8IUiAMBzo3ogwLv9rKIrkUjQwYrtsIjassTERKxduxbffPMN/Pz8xDnMCoUCXl5eUCgUmDlzJpKSkhAYGAh/f388++yzUKvVGDasem2BMWPGIDo6GtOmTcOSJUug0Wgwf/58JCYmQi6XO/L1iIiIWpxrZgBENjhZUGJWdqPSgH1nr4nXlnqmJRLAt94w348fHyye514rq3+L0ztdWIrer27DkQvVc76jQlx/qy4iss3KlStRXFyMe+65ByEhIeLxxRdfiG2WLl2K8ePHIyEhAXfddRdUKhW+/vprsd7d3R2bN2+Gu7s71Go1Hn30UTz22GNYuHChI16JiIioVbEnmtq8X3KvWywvvlEpnv+mMU+035syyKxsVFTtarQf/XQW18v1+MuYXuilcv5k1GAUEPtuhkmZK67CTUTNI1ixqIOnpydSU1ORmpraYJuIiAhs3brVnqERERG5BPZEU5v30n+PWiz/Z8bvqKg04OuDFzBu+f/M6sM6eDX63C8O5OH7EwWIW/aTyb7SzupKqfmWVkREREREZBubkuiUlBTccccd8PPzQ3BwMCZNmoScnByTNhUVFUhMTERQUBB8fX2RkJBgtoInkSP0Upr2Fh+9WIzeC7Yh6cvDFtsH+Vg/r+9ScUWzYmsNZboqk+sv/6x2UCRERERERK7LpiQ6IyMDiYmJyMrKwo4dO1BZWYkxY8agrKx2bujcuXOxadMmrF+/HhkZGcjPz8fkyZPtHjiRtQaFBwAAksb0hKze4mCNjWrs5Gc5if5jTGezsuvl+ibH11TXy/ToMm8LuszbguEp6ThlYe53XaU3k+hOfnKcTRmHIZFtf0srIiIiIiJ7s2lO9LZt20yu16xZg+DgYGRnZ+Ouu+5CcXExVq9ejbVr12LUqFEAgLS0NPTu3RtZWVniqp516XQ66HS1w0y1Wm1T3oOoQaUV1cmjn1yKVydE49WNxxpsG98vBA/dEQYfmTu8ZO4W28wcGYmvsi+YlOmrWn8495tbTojn+cUVuG/pT/j7gwMQ10cJP0/z7aouXL8BoHqYuuTmFldERERERGSbZs2JLi6uXuE3MLC6Rys7OxuVlZWIjY0V20RFRSE8PByZmZkWn5GSkgKFQiEeYWHcv5Xsq2YYs6+nFPf07GSxTfLYKOx7eTQ++L9BuLtnJwzu0nAvrbeF5LpMb8Du01dQUWmwT9BW+PrgRbOyv64/jH6vf2+xfU2i7yPneoJERERERE3V5CTaaDRizpw5GDFiBPr27QsA0Gg0kMlkCAgIMGmrVCrFfSjrS05ORnFxsXjk5eU1NSQiM98cuoj8m/OVFV4eCAv0xs6/3I1FD/QV27w+IRp/vrsbgv09reqh9ZaZJ6HTP96Hqf/ai3n/PWK/4Juhy7wteOrf2QCA5emn0PvVbdh3rnpLL6kbe6GJiIiIiJqqyV1SiYmJOHbsGH7++edmBSCXyyGXW7+AE5Etnl93SDwPDahebbtrJ1+T7a362bjNk6We6BobD+VjmYWtsexFX2VESUUlgnzl8JG5o0zfcM/3tuMaTPzgZxy+uSf02r25AAAPdy7KT0RERETUVE1KomfPno3Nmzfjp59+QufOtYssqVQq6PV6FBUVmfRGFxQUQKVSNTtYIluU1luNum7yqFJ4iudyqW1JZWNJdEvrOf87s7JvEkcgYeUeVBnNV0mrSaDr2vlbYYvERkRERETUHtiUPQiCgNmzZ2PDhg3YuXMnIiMjTepjYmLg4eGB9PR0sSwnJwe5ublQq7mdDrWu3Kvl4vl0dYRJXbCfJ6JUfujoK0NEkLdNz5VIJHh+dI8G67PPX7ctUCs1NN+6l8oPv715Px6r944NsZRsExERERGRdWzqiU5MTMTatWvxzTffwM/PT5znrFAo4OXlBYVCgZkzZyIpKQmBgYHw9/fHs88+C7VabXFlbqKW9IcPqqcaRAR54/U/9DGpc3eTYOtzd0JvMMLTw/ae5Sfv6orr5Xok3N4ZE1N3m9QlrNyDfS+PRrC/ZwN335rRKMAgCCa95wfOWU7Oa+JfOLEvDpy7jhOXTFe4jw7xR+61crFn/p2Efk2Oi4iIiIiovbMpiV65ciUA4J577jEpT0tLw+OPPw4AWLp0Kdzc3JCQkACdToe4uDisWLHCLsESWevslTKxx1XZwIJhbm4SeLo1bWi2r1yKhRP7Nlj/z59+x6vjo5v0bABYuPkE1uw5BwC4s0dHrHliCK6U6szaPVevR7ywpLbNvb06YfrwLrinVzAEQcAjH2VhcEQgHr4jvMlxERERERG1dzYl0YJw62Ggnp6eSE1NRWpqapODImquPWeuiOdP3tm1RT8r9f9ux8LNx1GgrU1gpe5NXwG7ymAUE2gA+N+pKzhZUIL/nap+p6lDwxHfLwR3RAaaLRIWGuApJttpTwwRyyUSCdbN4pQKIiIiIqLm4oax1CYdu1g7pHlE96AW/az4/iGI7x+CSam7cSivCAAQHmjbPOu6Lly/YVY29r3/iecTBoRiWFfL7/TknV3xt+05eHlc7yZ/PhEREZE9dJm3xdEhNOjc4nhHh0AujEk0tWl39uhocV/nltBL6Scm0Wt2n0OQjxz397V9VfqiOttvWRIT0aHBugkDQjFhQKjNn0lERERERNbhhrHUJmlvJqKjooJb7TOTx0WJ56cKS/HUZ9lNes7ZK6WN1nOfZyIiIiIix+Fv49QmnblcnYh27tD0YdW2CvCW4cGYziZlF65Xr4r9r//9jutlegDAxaIb+Nv233BDb75llSAImPvFYQDAbQFeZvVHXh/TApETEREREZG1OJyb2pzCkgr8pikBAPQO8WvVzzbUW3zvw59+x/bjGhRoddh05BK+SRyBEYt3AgB+Pn0V3ySOMGl/qbhCPL9YZDo3Ont+LPw9PVoociIiIiIisgZ7oqnNWbTlV/HcUm9uS9p/7prJ9aeZ58VVuw/nFcForE2yD+cVocu8LfjyQJ5Y9kmdVbkjgrxxf5/aOdVBvvIWipqIiIiIiKzFJJranG8O5QMAeof4W9wfuiUVlTW8KJjM3Q3H8ovNyl/86oiYXP9nX65Y/uG0wXhseAQAYHQrzu0mIiIiIqKGMYmmNqXuXuaLHujb6p9/TyPJrt5gxB8+2G2x7v73fkKhtgLaiioAwJKE/uil8sPwbh2R8cI9WPloTIvES0REREREtmESTS6lymDE5iP5KKkw7/E1GgX0f+N78bo5ezU31ZsT+2De2ChsTByBKJX187FPFpRiyNvp4vWYPkrxPCLIBzIp/1UlIiIiInIG/M2cXEKlwYirpTq8vuk4Zq/9BaP+kWHW5r8HL6DkZk8uAHh6uLdmiACqV+h+6u5uGBgWgHprjJnxcJdg+5y7LNb5cQExIiIiIiKnxCSaXMJz//kFw1LS8VlW9ZzhyyU6HLtYDH2VUWyzKuOMyT0+stZPoutaNmUgAODx4V2w/5VYk7oF46NxatE49FL5IbKjj0mdwssD7m6tO5ebiIiIiIiswySanM76A3kY/Y9dOHelDED1POfvjmlQaTDt2h3//s94+rNsAEDmmas4c7m6/cePD8bZlHGtvqhYfb1D/PH72+Pw+h/6oJOfHM+P7iHWBfvXrrTdPdhXPP9wWgz2vjy6VeMkIiIiIiLrMYkmp/PCV0dw5nIZ7vn7LlQZjNh79lqDbdN/K8TcLw7hkY+yxLLh3To6PIGu4VanR7miyiCe39m9k3iuq9Obfk+vYIcMQyciIiIiIutIHR0AUV0Go2lv88h3foRGW9HoPRt+uSiez4/v7bRJqH+dec4K79rzv47piZ9OXsZtAV5cQIyIiIiIyMkxiSancv5qmcl1Qwn0q+Oj8ebmE2blI7p3bJG47GGaOgJnLpdiZL0Y+3cOwIZnhiM0wMtBkRERERERkbXY7UVO5WRBqVXtZo6MNCvr2tHHZH6xs/H39MC7Dw3E5Ns7m9UNCu8Apb+nA6IiIiIiIiJbMImmFnMorwgPrtqD99NP4TeN1qp71u3PtVg+MCzALHFOuq+neJ54bzdsnD0CHu78R5qIiIiIiFoOh3NTiyipqMSk1N0AgP3nruMfO07i6Xu64b5oJQK9Zfj2cD6m3BGGTn5ycRGwYxeLsSvnssXnbUwcAQAYHRWMkJvDnmff2x3v7jgJAJh1VzeTOcdEREREREQtgUk02VWhtgLjlv8PV0r1ZnUrd53Byl21ezm/u+MkArw9UFReiZTJ/VBQZ/6z1E2CqpuLjE0bFiGWD68zn9jNTYLf3rwfN/QGKLyYQBMRERERUctjEk12NTF1t8UEuiFF5ZUAgOSvj2JoZCAAYHi3ILz/yCBsPXoJd/bohPBA7wbv9/Rwd9rVuImIiIiIqO3hBFKyG21FJS4VN74dVWNq9oN+fHgXBPnKMU3dBV06+pjstUxERM3z008/YcKECQgNDYVEIsHGjRtN6gVBwIIFCxASEgIvLy/Exsbi1KlTJm2uXbuGqVOnwt/fHwEBAZg5cyZKS61bGJKIiMjVMYkmmxmMAnRVBuReLceVUh3OXy1Dl3lb0P/1703aeXq44bvn7xTnM9f30GDzVaoB596miojI1ZWVlWHAgAFITU21WL9kyRIsX74cq1atwt69e+Hj44O4uDhUVNT+kXTq1Kk4fvw4duzYgc2bN+Onn37CrFmzWusViIiIHIrDuclmk1fsxuELxQ3Wd/SVoWtHXyx/ZBBUiuptm96bMhCluiqM7N4Rsz7NRvK4KNzTKxivTeiDjYcu4pUNx8T7feT8x5KIqKWMHTsWY8eOtVgnCAKWLVuG+fPnY+LEiQCATz/9FEqlEhs3bsSUKVPw66+/Ytu2bdi/fz8GDx4MAHj//fcxbtw4/P3vf0doaGirvQsREZEjMFshmxSXVzaaQL86PhoP3xEG33qJ8MSBt4nn2+feJZ77yKWYOjQCqTtPI7+4Aptmj7R/0EREZJWzZ89Co9EgNjZWLFMoFBg6dCgyMzMxZcoUZGZmIiAgQEygASA2NhZubm7Yu3cvHnjgAYvP1ul00Ol04rVWa93Wh0RERM7G5uHc9phLRa7r7NUyi+VxfZQ4tzgeM0dGmiXQ1tj6/J347vk70a+zorkhEhFRE2k0GgCAUqk0KVcqlWKdRqNBcHCwSb1UKkVgYKDYxpKUlBQoFArxCAsLs3P0RERErcPmJNoec6nINc3feFTc+7kupb8c/5w22MId1gvwlqF3iH+znkFERM4rOTkZxcXF4pGXl+fokIiIiJrE5i7D5s6lItf0S+51fJaVK15/OC0Go6KCUV5pgBe3mCIiahNUKhUAoKCgACEhIWJ5QUEBBg4cKLYpLCw0ua+qqgrXrl0T77dELpdDLpfbP2giIqJWZtfVuW81l8oSnU4HrVZrclDLK6mohCAI4nWprgr3L/sJu09fsdj+2f/8YnId21sJqbsb/D094OHORd6JiNqCyMhIqFQqpKeni2VarRZ79+6FWq0GAKjVahQVFSE7O1tss3PnThiNRgwdOrTVYyYiImptds1+rJlLVR/nSLW+7PPX0O/17xGZvBWFJRUo1Fbg3r/vwm+aEkz9115cKdXh98uluFR8Q7znwvXa86T7enLvZiIiF1VaWopDhw7h0KFDAKr/AH7o0CHk5uZCIpFgzpw5eOutt/Dtt9/i6NGjeOyxxxAaGopJkyYBAHr37o37778fTz75JPbt24fdu3dj9uzZmDJlClfmJiKidsHhq3MnJycjKSlJvNZqtUykW9i6fbXz0IYsSjerH/zWD+K5n1yKBwfX/jwyk0chROHVsgESEVGLOXDgAO69917xuuY7ePr06VizZg1efPFFlJWVYdasWSgqKsLIkSOxbds2eHp6ivd8/vnnmD17NkaPHg03NzckJCRg+fLlrf4uREREjmDXJNqauVT1cY5U6/slr8jqtiW6Kny8+ywAoN9tCibQREQu7p577jGZzlOfRCLBwoULsXDhwgbbBAYGYu3atS0RHhERkdOz63Bua+ZSkWNlnLyM04WlTbr3tQnRdo6GiIiIiIjItdicRDd3LhU5ztkrZZj+8b4G64P95Oge7AsAUPl7Yn58b5P6QeEdWjQ+IiIiIiIiZ2fzcG57zKWi1rflyCUkrj0oXr82IRpvbDohXi97eCBG9uiIjr5yVBmMAACpuxuKb1Ti/Z2nseSP/eHOxcSIiIiIiKidkwiNTYxyAK1WC4VCgeLiYvj7+zs6HJclCAIkkuqkd9uxS3jqs9oE+h8PDkBCTGccu1gML5k7wjp4QyblNlVERA3hd5P92fv/0y7zttghKiJqL84tjnd0CORkbPlecvjq3NQ8giDAYBQgdXdDub4K0Qu2i3VpT9yBe3sFY22d1bgjO/ogIaYzAKDvbYpWj5eIiIiIiMiVMYl2QQajgDlfHEKVwYjvjlXvvz0qKlicz1zjibT9GNm9I34+fQUA8PYD/fDIEG4fRkRERERE1FRMol3QiXwtNh3ONynb+Vshdv5WaNa2JoEGgMm33yYO8SYiIiIiIiLbtesk2mgU0PXlrSZlPyTdbdaj6yxyNCV4Im0f8osrGm338eODMWPNAZOypQ8PgKeHe0uGR0RERERE1Oa169WkPvrf72Zlse9mYNrqvVix6zQA4FRBCV7/9jgO5RW1cnSmrpbqELfsJ4sJ9Bezhonn6q5BGBWlxOLJ/cSyDc8MxwODOrdKnERERERERG1Zu12dWxAERCZvvWW7AWEBOHwzgZ4xIhILJkS3WEyWFN+oxL6z1/Dkp6Y9y9OGRWBo10BEBPqgX2cFTheWwt9LimA/biVGRGRvXJ3b/rg6NxE5Elfnpvq4OrcVHvpnpnj+1N3dcKn4Br45lG/W7nCdHuiPd5/FC3G94CVr+WHRpboq9H1tu1n5HwaE4rnRPcyGnDvrEHQiIiIiIqK2pF0O5/72cD72n7suXs8bG4X3pgzCzr/cfct7d/xa0JKhAajuJb/znZ0W6/7x0AAmzERERERERA7S7pLo/526jOf+84t4/cmMIeJ5106+OLc4HucWxyM6pLYL31vmjsm33wYAJvfak7aiEgZj9cj6z/fm4np5pVgndZMg7fE78Nub98PDvd39yIiIiIiIiJxGmx/ObTAKEAQBUnc3GI0Cpq3eZ1J/d89OFu/b8txIPPnpAfzwayE2PzsSZ6+U4euDFwEAe3+/iqFdg+wW49krZZiUuhvFNypNyjv5ybH/lVi7fQ4RERERERE1T5tOojf8cgHvfJeD4d2C8My93bH37FWxzlvmjg3PjGjwXolEgn9Nv0O8juzoI54//GGWXRYj2HQ4H5sO56OovNIsgQaAzc+ObPZnEBERERERkf206SQ6v6gCGm0Fvv7lIr7+5aJJ3YmF99v0LIlEYnJ9sqAEPZV+TYqr0mBEj1e+a7RNfL8QKP250jYREREREZEzadNJ9Lh+Ifjb9hyz8vnxvZv0vD/f3RX/zKjeW/rC9fImJdHnr5bh7r/tslh38q2xuHC9HF2CfODmJrHYhoiIiIiIiBynTSfRXYK8MXFgqMnWVUO6BOJPd3Zt0vOSx/YWk+gZaw4gLNALedduYElCfzx0R9gt7z9dWILYd3+yWJf2+B2QSd3QtRNX3iYiIiIiaknOurc89692DW06iZZIJHhvyiAse3ggim9UQuHlYTYsuznyrt0AALz43yOIjVbi/Z2nMHHgbRgYFgAAuF6mx/j3f0afUH/8c1qMSQLdO8QfW58bCYlEAkEQ7BoXERERERG5HmdN7gEm+HW16SS6hkQiQYC3zC7Pmnz7beIq3XXd/uYOAEDa7nMAgK4dffD7lTIAwMWiG4hM3mrSfsMzw8XEmQk0ERERERGRa2gXSbQ9vfGHPhaT6PpqEmhL+FccIiIiIiJyJc7aS+6I3Mqt1T/Rxfl5emBMtFK8Ht7Ntv2iv3pKbe+QiIiIiIiIqJWwJ7oJPnxssMn1M59n4/fLZfjiz2qs+PE0im9UYsMvFyGXumHvy7GoqDRg05F8FJdXIiaig4OiJiIiIiIiouZiEm0HK6bGiOfJ46q3z0q8tzvc3STwkrnDS+aOx9RdHBQdERERERER2QuT6BYSFujt6BCIiIiIiIjIzjgnmoiIiIiIiMhKTKKJiIiIiIiIrMQkmoiIiIiIiMhKLZZEp6amokuXLvD09MTQoUOxb9++lvooIiIiIiIiolbRIkn0F198gaSkJLz22ms4ePAgBgwYgLi4OBQWFrbExxERERERERG1ihZJot999108+eSTeOKJJxAdHY1Vq1bB29sbH3/8cUt8HBEREREREVGrsHsSrdfrkZ2djdjY2NoPcXNDbGwsMjMzzdrrdDpotVqTg4iIiIiIiMgZ2T2JvnLlCgwGA5RKpUm5UqmERqMxa5+SkgKFQiEeYWFh9g6JiIiIiIiIyC4cvjp3cnIyiouLxSMvL8/RIREREZEVuIgoERG1R3ZPojt27Ah3d3cUFBSYlBcUFEClUpm1l8vl8Pf3NzmIiIjIuXERUSIiaq+k9n6gTCZDTEwM0tPTMWnSJACA0WhEeno6Zs+efcv7BUEAAM6NJiIip1HznVTzHUWmi4gCwKpVq7BlyxZ8/PHHmDdvnll7nU4HnU4nXhcXFwOw3/e9UVdul+cQEZFrsdf3iC3f9XZPogEgKSkJ06dPx+DBgzFkyBAsW7YMZWVl4hdtY0pKSgCAc6OJiMjplJSUQKFQODoMh6tZRDQ5OVksa2wRUaB6DZQ33njDrJzf90RE1ByKZfZ9njXf9S2SRD/88MO4fPkyFixYAI1Gg4EDB2Lbtm1mi41ZEhoairy8PPj5+UEikTQ7ls8//xzPPPNMs59DRESuad++fejVq1ezniEIAkpKShAaGmqnqFxbY4uI/vbbbxbvSU5ORlJSknhtNBpx7do1BAUFid/3Wq0WYWFhyMvLc9npXXwHx3P1+AHXfwdXjx/gOziD1o7flu/6FkmiAWD27NlWDd+uz83NDZ07d7ZbHF5eXnZ7FhERuR5fX1+7fPmyB7p55HI55HK5SVlAQIDFtm1hjRS+g+O5evyA67+Dq8cP8B2cQWvGb+13vcNX5yYiIiLXYusiokRERG0Jk2giIiKySd1FRGvULCKqVqsdGBkREVHLa7Hh3M4iOjra0SEQEZGDqFQqdOzY0dFhtEnNWUS0IXK5HK+99prZsG9XwndwPFePH3D9d3D1+AG+gzNw5vglAvfrICIioib44IMP8Le//U1cRHT58uUYOnSoo8MiIiJqUUyiiYiIiIiIiKzEOdFEREREREREVmISTURERERERGQlJtFEREREREREVmISTURERERERGQluyXRbm5ukEgkPHjw4MGDB49GDnd3d3BNT8tSU1PRpUsXeHp6YujQodi3b5+jQ2rQTz/9hAkTJiA0NBQSiQQbN240qRcEAQsWLEBISAi8vLwQGxuLU6dOOSZYC1JSUnDHHXfAz88PwcHBmDRpEnJyckzaVFRUIDExEUFBQfD19UVCQgIKCgocFLGplStXon///vD394e/vz/UajW+++47sd6ZY2/I4sWLIZFIMGfOHLHM2d/j9ddfN/tvXFRUlFjv7PEDwMWLF/Hoo48iKCgIXl5e6NevHw4cOCDWO/u/y126dLH4XZOYmAjANX4GBoMBr776KiIjI+Hl5YVu3brhzTffNPmudLqfg2AnAHjw4MGDBw8eVhzTpk2z19dvm7Fu3TpBJpMJH3/8sXD8+HHhySefFAICAoSCggJHh2bR1q1bhVdeeUX4+uuvBQDChg0bTOoXL14sKBQKYePGjcLhw4eFP/zhD0JkZKRw48YNxwRcT1xcnJCWliYcO3ZMOHTokDBu3DghPDxcKC0tFds89dRTQlhYmJCeni4cOHBAGDZsmDB8+HAHRl3r22+/FbZs2SKcPHlSyMnJEV5++WXBw8NDOHbsmCAIzh27Jfv27RO6dOki9O/fX3j++efFcmd/j9dee03o06ePcOnSJfG4fPmyWO/s8V+7dk2IiIgQHn/8cWHv3r3C77//Lmzfvl04ffq02MbZ/10uLCw0+f9/x44dAgDhxx9/FATB+X8GgiAIixYtEoKCgoTNmzcLZ8+eFdavXy/4+voK7733ntjG2X4Odkui63v11Vcd/ksKDx48ePDg4YxHx44dW+rr12UNGTJESExMFK8NBoMQGhoqpKSkODAq6wCmSbTRaBRUKpXwt7/9TSwrKioS5HK58J///McBEd5aYWGhAEDIyMgQBKE6Xg8PD2H9+vVim19//VUAIGRmZjoqzEZ16NBB+Ne//uVysZeUlAg9evQQduzYIdx9991iEu0K7/Haa68JAwYMsFjnCvG/9NJLwsiRIxusd8V/l59//nmhW7dugtFodImfgSAIQnx8vDBjxgyTssmTJwtTp04VBME5fw4tNie67jAIIiIiquXl5eXoEJyKXq9HdnY2YmNjxTI3NzfExsYiMzPTgZE1zdmzZ6HRaEzeR6FQYOjQoU77PsXFxQCAwMBAAEB2djYqKytN3iEqKgrh4eFO9w4GgwHr1q1DWVkZ1Gq1S8UOAImJiYiPjzeJF3Cdn8GpU6cQGhqKrl27YurUqcjNzQXgGvF/++23GDx4MB588EEEBwdj0KBB+Oijj8R6V/t3Wa/X47PPPsOMGTMgkUhc4mcAAMOHD0d6ejpOnjwJADh8+DB+/vlnjB07FoBz/hykLfHQoqIik3kpREREVItJtKkrV67AYDBAqVSalCuVSvz2228OiqrpNBoNAFh8n5o6Z2I0GjFnzhyMGDECffv2BVD9DjKZDAEBASZtnekdjh49CrVajYqKCvj6+mLDhg2Ijo7GoUOHnD72GuvWrcPBgwexf/9+szpX+BkMHToUa9asQa9evXDp0iW88cYbuPPOO3Hs2DGXiP/333/HypUrkZSUhJdffhn79+/Hc889B5lMhunTp7vcv8sbN25EUVERHn/8cQCu8c8QAMybNw9arRZRUVFwd3eHwWDAokWLMHXqVADO+d/UFkmiO3To0BKPJSIiahOuXLni6BCIRImJiTh27Bh+/vlnR4dik169euHQoUMoLi7GV199henTpyMjI8PRYVktLy8Pzz//PHbs2AFPT09Hh9MkNT2FANC/f38MHToUERER+PLLL13ij4VGoxGDBw/G22+/DQAYNGgQjh07hlWrVmH69OkOjs52q1evxtixYxEaGuroUGzy5Zdf4vPPP8fatWvRp08fHDp0CHPmzEFoaKjT/hzsPpxbIpHY+5FERERtyrVr13DmzBlHh+E0OnbsCHd3d7MVYwsKCqBSqRwUVdPVxOwK7zN79mxs3rwZP/74Izp37iyWq1Qq6PV6FBUVmbR3pneQyWTo3r07YmJikJKSggEDBuC9995zidiB6uHOhYWFuP322yGVSiGVSpGRkYHly5dDKpVCqVS6xHvUFRAQgJ49e+L06dMu8XMICQlBdHS0SVnv3r3FIemu9O/y+fPn8cMPP+BPf/qTWOYKPwMAeOGFFzBv3jxMmTIF/fr1w7Rp0zB37lykpKQAcM6fg92S6IqKCibQREREVpBKpQgLC3N0GE5DJpMhJiYG6enpYpnRaER6ejrUarUDI2uayMhIqFQqk/fRarXYu3ev07yPIAiYPXs2NmzYgJ07dyIyMtKkPiYmBh4eHibvkJOTg9zcXKd5h/qMRiN0Op3LxD569GgcPXoUhw4dEo/Bgwdj6tSp4rkrvEddpaWlOHPmDEJCQlzi5zBixAizrd1OnjyJiIgIAK7x73KNtLQ0BAcHIz4+XixzhZ8BAJSXl8PNzTQtdXd3h9FoBOCkPwd7rVAGJ1jtlAcPHjx48HCF47777rPX12+bsW7dOkEulwtr1qwRTpw4IcyaNUsICAgQNBqNo0OzqKSkRPjll1+EX375RQAgvPvuu8Ivv/winD9/XhCE6u1YAgIChG+++UY4cuSIMHHiRKfaFufpp58WFAqFsGvXLpPtccrLy8U2Tz31lBAeHi7s3LlTOHDggKBWqwW1Wu3AqGvNmzdPyMjIEM6ePSscOXJEmDdvniCRSITvv/9eEATnjr0xdVfnFgTnf4+//OUvwq5du4SzZ88Ku3fvFmJjY4WOHTsKhYWFgiA4f/z79u0TpFKpsGjRIuHUqVPC559/Lnh7ewufffaZ2MbZ/10WhOrdDMLDw4WXXnrJrM7ZfwaCIAjTp08XbrvtNnGLq6+//lro2LGj8OKLL4ptnO3nwCSaBw8ePHjwaMVDIpEIOp3OXl+/bcr7778vhIeHCzKZTBgyZIiQlZXl6JAa9OOPP1r8+U6fPl0QhOotWV599VVBqVQKcrlcGD16tJCTk+PYoOto6J/PtLQ0sc2NGzeEZ555RujQoYPg7e0tPPDAA8KlS5ccF3QdM2bMECIiIgSZTCZ06tRJGD16tJhAC4Jzx96Y+km0s7/Hww8/LISEhAgymUy47bbbhIcffthkj2Vnj18QBGHTpk1C3759BblcLkRFRQkffvihSb2z/7ssCIKwfft2AYDFuFzhZ6DVaoXnn39eCA8PFzw9PYWuXbsKr7zyisl3pbP9HCSCIAggIiIiIiIioltqsX2iiYiIiIiIiNoaJtFEREREREREVmISTURERERERGQlJtFEREREREREVmISTURERERERGQlJtFEREREREREVmISTURERERERGQlJtFEREREREREVmISTURERERERGQlJtFEREREREREVmISTURERERERGSl/weDB23D/JDbaQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, df in enumerate(dfs):\n",
    "    y =  dfs[i]['close']\n",
    "    f = plt.figure(figsize=(12,4))\n",
    "    ax = f.add_subplot(121)\n",
    "    ax2 = f.add_subplot(122)\n",
    "    ax.plot(y)\n",
    "    ax2.hist(y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a990cd12",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 4.65089287  6.81743214 11.42382739 18.77895837 17.29391308 24.55688331\n",
      " 28.22148333 31.34281658 45.4204418  51.13039999]\n",
      "[ 1.61354091  2.20370937  1.99643786 14.06341094  3.15312112 17.14661286\n",
      "  8.5963908  23.53547735 27.31237868 71.78572087]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\killi\\Documents\\Projects\\Financial-Forecasting-with-Timeseries\\env_name\\lib\\site-packages\\numpy\\core\\fromnumeric.py:59: FutureWarning: 'Series.swapaxes' is deprecated and will be removed in a future version. Please use 'Series.transpose' instead.\n",
      "  return bound(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "#spliting the data into 5 chunks\n",
    "y = dfs[0]['close'][:3000]\n",
    "chunks = np.split(dfs[0]['close'][:3000], indices_or_sections=10)\n",
    "print(np.mean(chunks, axis=1))\n",
    "print(np.var(chunks, axis=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "586563d1",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "There appears to be a trend in the data. The p-value will confirm if weather or not the data is stationary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "92f69ef2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "adf, pvalue, usedlag, nobs, critical_values, icbest = adfuller(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "67f19c6c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9971534577050603\n"
     ]
    }
   ],
   "source": [
    "print(pvalue)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c29553cb",
   "metadata": {},
   "source": [
    "#### Conclusion:\n",
    "\n",
    "We fail to reject the null hypothesis, meaning the dataset is non-stationary if we work with closing prices. However, there is another approach which consists in computing the returns which are supposed to be normally distributed around 0."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69022f44",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Analyzing the correlogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "da7b2eaa",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Autocorrelation\n",
    "acf_plot = plot_acf(y, lags=15, title='ACF')\n",
    "#Partial Auto-correlation\n",
    "pacf_plot = plot_pacf(y, lags=15, title='PACF')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "334324fd",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "The autocorrelations are positive for many number of lags (10), so the series needs further differencing. The stock return (difference between opening and closing stock price) might provide the mean to reach stationarity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0198d434",
   "metadata": {},
   "source": [
    "### Building a forecasting ARIMA model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "619a04dd",
   "metadata": {},
   "source": [
    "The ARMA models combines the AR models and the MA models. The ARMA(p,q) contains the AR(p) and the MA(q) and can be used for univariate time series.\n",
    "\n",
    "The main assumption in time series analysis is that the time series is stationary and this is not the case for many pratical situations. The solution to this can be found in the Autoregressive Integrated Moving Average(ARIMA) model. The ARIMA (p,d,q) introduces the possibility to apply differencing to the data d times in order to make it stationary. After the differenciation, the model becomes ARMA(p,q).\n",
    "\n",
    "ARIMA is a natural extension to the class of ARMA models — they can reduce a non-stationary series to a stationary series using a sequence of differences.\n",
    "\n",
    "ARIMA model has 3 parameters:\n",
    "\n",
    "P — Auto regressive feature of the model (number of lags of Y to be used as predictors)\n",
    "\n",
    "D — Differencing order (minimum number of differencing needed to make the series stationary)\n",
    "\n",
    "Q — Moving average feature of the model (number of lagged forecast errors that should go into the ARIMA Model)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89b3a6a4",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Finding the order of differencing (d)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f369247",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "The purpose of differencing it to make the time series stationary. Let's start with a first order of differencing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "ba3d3466",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UOSfPmhIPAKAiu88dgAAAAHxHwh0EzhSW6K21+6wOAwBQy6xevVpDhgxRcnKybDabFi1a5NhWVFSkRx99VJ06dVL9+vWVnJysESNG6ODBgy77aNmypWw2m8sydepUlzKbN29W7969FR0drZSUFE2bNi0QpwcAgOVIuI1WodLEy7aUVLYAAALs9OnT6tKli2bOnFlh25kzZ/T111/riSee0Ndff61//vOf2rlzp377299WKDt58mQdOnTIsdx///2ObXl5eRo4cKBatGihTZs2afr06Zo0aZJmz55t6rkBABAMIqwOoOYjkw5lJaV2hdkkWzB2QgWAaho0aJAGDRrkdltsbKyWLVvmsu7VV19Vr169lJ2drebNmzvWN2zYUElJSW73M2/ePBUWFmrOnDmKjIxUhw4dlJWVpRkzZmjMmDHGnQwAAEGIGm6D0S+w5vi5sERXPv+Z/mfe11aHAhjq1NkiDf3bOs1fnx2Q43HDquY4efKkbDab4uLiXNZPnTpVTZo0Ubdu3TR9+nQVFxc7tmVmZqpPnz6KjIx0rEtPT9fOnTt1/Lj7EewLCgqUl5fnsgAAEIosT7gnTZpUoe9Xu3btrA4L0GffHtahk2f1n605VocCGGr26r1au+eo/vjhFqtDQQg5e/asHn30Ud1+++2KiYlxrH/ggQe0YMECrVy5Unfffbeee+45PfLII47tOTk5SkxMdNlX2eOcHPffr1OmTFFsbKxjSUlJMeGMAAAwX1A0Ke/QoYOWL1/ueBwRERRh+aWqebcBwGqnzhZXXQhwUlRUpFtuuUV2u12vv/66y7bx48c7/t+5c2dFRkbq7rvv1pQpUxQVFeXX8TIyMlz2m5eXR9INAAhJQZHZRkREeOz7VV5BQYEKCgocj4O9mdmR/EKrQ4CfnFvB2u12vfb5HrWKr69rOzWzLigACLCyZPv777/XZ5995lK77U5qaqqKi4u1f/9+tW3bVklJScrNzXUpU/bY029/VFSU38k6AADBxPIm5ZK0a9cuJScnq3Xr1ho2bJiysz33Kwz2Zmb+VnBTMR58nHudbvz+uKZ/upP+3EGMbsLBK9j/NH9dtcfqEIJWWbK9a9cuLV++XE2aNKnyOVlZWQoLC1NCQoIkKS0tTatXr1ZRUZGjzLJly9S2bVs1atTItNgBAAgGlifcqampmjt3rpYsWaLXX39d+/btU+/evXXq1Cm35TMyMnTy5EnHcuDAgQBHHDgrvz2sVd/95LLucN5ZvbJilw6fOmtRVLXTkVMFVRcCQkSgb04E+82QKf/5VnO/3Gd1GJbIz89XVlaWsrKyJEn79u1TVlaWsrOzVVRUpJtuukkbN27UvHnzVFJSopycHOXk5Kiw8FzrrczMTL344ov65ptvtHfvXs2bN0/jxo3T8OHDHcn00KFDFRkZqVGjRmnbtm1auHChXnrpJZcm4wAA1FSWNyl3no6kc+fOSk1NVYsWLfT+++9r1KhRFcoHezMzu0GduPPOFumuuV9Jkr59+hpF1wmXJN019yttO5in5Tty9a/7rjTkWEBNwPgJqI5JH23Xbb2aO75ra4uNGzeqX79+jsdlSfDIkSM1adIk/fvf/5Ykde3a1eV5K1euVN++fRUVFaUFCxZo0qRJKigoUKtWrTRu3DiXZDo2NlZLly7V2LFj1aNHD8XHx2vixIlMCQYAqBUsT7jLi4uLU5s2bbR7926rQwmo8on6gWNnHP8vKC51XARuO3iuz/o3P5wMXHC1lJG1coXFpfpq/zH1aNGo1l3QA0Fewe1QUFRa6z6fffv2rfRGcVU3kbt3765169ZVeZzOnTtrzZo1PscHAECos7xJeXn5+fnas2ePmjULzYGpjKpku/vvmwzaE/x3Pk2o7t/1qY+2adgb6zXhg2+quSeg+mwhkwIHVv8Zn1sdAgAAqGEsT7gfeughrVq1Svv379fatWv1u9/9TuHh4br99tutDq1aCopLdNvsTL+f/8Pxn88/oKlsyJu3/txAgIs3H7I4kpor2PsJI/gxqwQAADCa5Qn3Dz/8oNtvv11t27bVLbfcoiZNmmjdunVq2rSp1aH5paz13b+yDmrd3mNeP6+k9Pz/j+a7DtBFrSgAAAAAhB7L+3AvWLDA6hBMUVBcWnUhJ3O+3Kc6ETZlDLpUq3e5jky+fEeuh2fBTGbXmNrtdtmoljUMg6YFL97nAACgtrK8hrumsZe1//bj6v+vq/ZKon9lbTBq7le69a/rVFpKlojAC/i0YIE9nFe4QQMAAAKBhLsSe37K11MfbVNuXmDnvA7myqDcvLMqKC6xOoyAMOvPUFRSqhXfHtaG/cf0vdNo9KieYP7chIrso2dUwk0gAAAAw5Bwu5FfUKyvs4/rule/1Ftf7tf97/3X+ydX81q1uKRUYUGaOezMOaXU51Zo0EtM7QLUNP/+5qD6TF+pe941foaEYPxKC8aYAABAzUPC7cb1M7/UDa+tVX5BsSTpmwMnAnbsK6Z+5nP/70BZvOXcCNt7fzptcSSBESr9TjfsO6bhb6zX7sP5VoeCEDZ79R5J0rLtwT9mxNfZxzVizgbtPnzK733QpBwAAAQCCbcbRiQu/l7LHT5VoMw9R6t9/Jpu5c7Deu6THSouCczNiWC+OL/lr5n6YvcRjfn7RqtDsVQw/41CQSiNHXHDa2u1+rufdOdbX1kdCgAAQKUsH6W8pjHimt/OxNtVuuuXC+1W8fV1e6/mphzDrPTDrMQw96TxYw2cOlukhtF1DN8vrBU6qXXlfjzxs9UhAAAAVIoabi+9/9UBLdl6KDAHC6F8O+9skX49Y5VeWLrTkuMfdLrg3rj/mG6etVbr9h7Vve9uCtzfK0gY3QT+P1sOqdOkpZb9bX0VIj0Aain+OAAAoHYi4fZCQXGpHvnHZt3z7tdVljWi9vLz736qulCQeHfd99p1OF+vfLbb6lB006xMfbX/uG6bvU7/2Zrj1d8rEOzl3hSh0oLhiX9tkyTD/rbfHz2tjzcfrPB6oObjZggAAKitaFJusGU7cnVd1+RqJd7HThcaF5CB3F0zFxUHR/JUNuCTkYxIEl5c/p3+nvm9y7rDeQXnj1H9Q5iyLzNcNf3zc/8ZKv2mc7KlsdR2NSUB5t4NAAAIdtRwG+yJRVs1cs4Gq8OoVGFxqSZ/tF2f7zxsdSgqLinV+r1HdbaoenN7P/fJtwZFdJ4xCfcuHS13A6X3tJWO/9fGfGHj/uNWhwA3fHm/f519XO9vPGBeMAAAADUECbcJ/pt9wuoQKvXehmzN+XKfISP8FpdWb5TwF5fv0q2z1+m++cHR/BvOauPtAHjjhtfW6pH/26x1e5lRAQAAoDIk3H4qKbVr4r+2Bux4RvZ7/eH4GZfH/9lySP/K+tFj+YLiErfN3Lf+eLLa/XvnfLlPkrR8h3+17aHeMrZ8/AeOndEj//eNvsv1Y35hg1+MmtRcd+3uIxr6t3Xa+xNzlUvGDbC378jpCutOFxRryw8nXb6zQv1zCgAA4C8Sbj8t3nJI75Trm+vM6IGhSk1KfopKSnXvvK/1vwuyPPYdHzBjlbo/vUyHTrpOwfPM4u2GxrLjUJ7PzzEzJwzUvMSHT511jLY++p2Nen/jD/rdzC993g9JjWdD31ivtXuO6n/mBb4lRalZH14THTh2Rq9/vkenzhb5/Nwhr36hIa9+oU+35ZgQGQAAQGgh4fbT0fyCSrcXG3yR7a6P86GTP2vlt4erldyXOMV5uqDYbZkDx84lgyt3Gj96unPono5vmQBksHZJvZ5doSumfqbTBcX6NudczfbpwnN/75XfHlb20TOV7CF4bP7hhCb9e5tOnvE9SQuUI1V8bo328eaD6jJ5qb7YdSSgx62ua19eo+eXfKunPqr8ppq7j8jen87Vev/7m4Pny3E3CAAA1FKMUu6nsCquIJ9ZvMPQ4/3pwy365oeTLuvSpnwmSZo1vLuu6djM630ZVfludJPjYK4INGsqL+ebJYdOnnXZ9sWuI7pr7rl+9vunDjbl+JXx9Yx/++q5WvlTZ4v1wi1djA/IAO7eswXFJXpvfbauapugVvH1DT3effP/K0ka/uZ6S/6GvnD+Rjt19tzNr+r00XZuIRKo1iIAAADBhhpuH81adW76qTOF1RtV21eLsg667S8pSV/sNqb2rKoE2ow+vc6JrBnzMwddrbkPNn5/zOoQ/LIz1/euAYFmt9sdtd2vrdyjSR9tV78/f27a8WplDW9tPGcAAIBySLidlJTa9WwV/ZKn/ufc9FPPLzF+Gip/+VozHEwVyc45tj813FVd03d48lPt93CjojK5eWf1wHv/9T0gH5W63GRwfQF8vf9g1EBY1RXIwdaKS3wbJb/sJXrukx3q+cxy/WPTD/pqf/VvbBQWl2rsvK/193Wex3UIZqWl9gotaLzhzVvui11HtIT+3AAAoJYi4Xby729+1N/W7LM6DJ9VleDsOJSnO9/aoK0/VrygnvKJ903fgySf83kQqvc2ZPt8jMf+sdnRrNZMZU3Gq/KPTT/4Nahcdfjb4iBQXQNO/lyk37zyhU/PsdulNbt+cnzOJ3zwjcv2n04VVBjF3xvPLt6uxVsO6YlFxs1csPtwviE3A9xx/ijb7fZqNR3PO1ukeeu/rzCuRdkxhr+5vsp9bPnhJCPIAwCAGomE20luXmAHVDJO5RnO7X9bp893/qQbXlt7rrRT8bcrGWm9wlF8SKS2H8zTov96nmrMsU+X/3t3gL1ONdYlXgTlzV73/pSvDfvOJzcHjruOyO58mK0/ntQba/ZWWrt6tqikyoH1pPMD0pU/huQa94QPvtGgl9ZUui+jb4j4mzeb0TWgvPnrs9XlqaWOQea8dfR0oe54c4PLuhynvvOXPbtcVz6/Unk+js7ty+fIWwNmrNLNszLNGTTP6b1y06xMxyB9FYp58Z565IPN+tOHW/V7L28eFRS7HuunUwUa8uoXuvqFVV49HwAAIJSQcDvxNl8JRELhi9IqWtWe+GXU6EIfm99Wx7Uvr9GDC7O0+rsqRjZ3eim9fVld5/et+q82e/XeKstc/cIq3fLXTEctW1i53TqH9ptXvtAzi3dUWnN+1fSV6vHM8iqP66uiAP4N/RWIj8cfP9ziVbmSUrv+/OnOSsu4S64PHAuekeH3HDG35nfT98er9fyy5uLlm6R76uIwbYnr3+OAmxYFJaV2ffTNwQpTEbrz6P9tdmmpc/jUWT2xaKu+zam8RYint+n/bfqhymMCAAB4i4Tbibc1hEGWb5s2gnalx/TyRRgxZ4MWVJKYug6a5kccXp77ml3eTWm26/C55KZ8Iu/ufLdX0sTbn9YSFY7g5pi7D3tOvoKkxX+5fukVnS0q0f8u+K+WbD1k6HF/OF4xOfvH1z/o1ZW7K32eu3CD7TNulapuaFW13d3n5oONB8qVqfi8d9d9r/vf+6/SpnymrT+erPT7ZuHGA/qr0021Ce9/o7+v+17XvFh5ixBPaNoOAACMRMLtpKqpvsoE27W4L31mj58urDRJ/WLXEf3pwy06U1ix/7LzRW+rjE+0fp93/Usf++cWvevFYFJVJWrulJRK+V6MRF6+GbEnZe8AX5tnl5Ta9bfVe5V14IRvT/RRIBNBf49V1dMWfHVA/8o6qHve/dqxznnu7n1HTlerT7GzYKmprs7NEH+e+8aavRr88hodP11YjSNXj03SNDetC+ySTp0t0tmiEqc1rlY5tYz5zStfuMzp7UnZ99P2g1WPdTD902891ux7+zsAAADgDRJuP0z7NHhGKJd8S4y6Pb1Mh095rn0d/uZ6zVufrdc/31PxOF4ew11Tzsc9DCblHLs/+d2sVXvU8clP/Xhm5co3h62qFvQfm37Qs5/s0PUzv/T7mOWb2rpT2c0So0cp97frxO7D+fqHl81yN+4/pjfW7FWXyUs154tzA5n1+/Pnum32Ov37m4P6/dyv3A72V5mSUrsjdm9ekaNuktJQr+F+ZvEObTuY57F2P1DzYrv7HjlTWKJOk5bqsl+6XHjzWnvTzNvbv1nOybOaubJiXGXKdycBAACoDhJuJ94mLH9dVXWf4EByl4Qt2Zqj37yyRnvcNI/80sO83c77eeWz3U41UOcc87K2LO9n9zXOZ4tKNPRv6zR7tfuLXW9ruP3NhQqKSxyJ2JnCYpW4aRpQ1i/b12vubQfPJ4XlB4Xy1vIduVWWKXuJSkvtFf4ewZQnlB/925ObZmXqmcXn+t9O/th1Sr4H3vuvPvv2sG54fa3Xx31+ybfqM22lWmV8ol/PWKXth3wbVK2MFd00zPBzkX/vRa9V8qbz9HVa9rk79UvLFKNeaXu5fz2p6vMZLNPrAQCAmoGE20nIXma5ucK8591N2vpjnsYvzKqwzVOTybv/vsnlsa83FuZ8sU9vrNmrbA/NeD/YeEBr9xzVc5+cbyHgErrJOU7HJz/V8DfX69jpQrWf+Kl++2rFKaVW7jzXlLX8S+QuAXO+P5BfcP4i/ki+Mc143b0cdvu5OZ9b//ETdX96mWFNr4tLSrX1x5M+T7lWmZXfHjZkP4XF3g8U9/rne/TjiXN9uXcdzvfqJkawOFtUokX//dGr0e29VXaDaeP+Y6ZNMeaJ94NQVlz3mR/vnbJz9dQy47/Zx70ay4Em5QAAwEgk3E5C9Trrn//9UW99uc9tsnT8TMURmD2dZvkpllZ959tF7+SPt+uZxTv0kIfaTXdTDzlfHJc6XTB7Go175beHtfCrA263VaWoxK4vdx/V5zvPndc2D309n/poW4VtVVW+mzFyvdtm7LJrodOgU2+sqXhT5OTPRRrvzQjxv5j80XZd/Kf/6DevfKG/LP/O6Vie4rJrz0/5blsIOPN2jvFgZEWT8mlLdurBhVm6dfY6w/ZZWnoukb9pVqZunpXpdmwGSV6/V8pznlKtPG9r138q18Ulc0/Fm0inzlY9TkNlNdx5Z4v0u9fW6o43N3j83JehSTkAADASCbeTUK7ZeOqj7bpjzvoK693VNnt7ml9nn6h0hHEjuMzD/cuDcQuz1PHJT3X4VMWL+bvmfqU3f+nra5a3vtxfYZ2n5LeMN/OBG8U5QXF32D9/ulP//O+PGjFng/5v0w8ekyxJ2n/ktOZ8ef71fOWzykf0lqR567PV/4VV+sPbX3k1bZMvgmXas7yzRXrsH5sNa0HgjcVbzg0MtvtwfoUbOHa7XWv3HPG59rvUbtfPTje6The4T4L/7sWghu7MWPadx22fbqu6dcHJn4s0dv75wfP+sekHbXAzGGN1ByM86tTqpKrxBcLIuAEAgIFIuJ2EcL4tSfpy97nkYFdu5f1Wfemj+EIlF9RGcM4rymq4F2UdVEFxqd7/6oDsdruyj56xfO5zT827pXMjYZ9xSmqMinWDmybAdrvnpLTsz1rWpFqSHvrgGz2xaJtKfxlFfW25/vsFlTXXdjoN59GuX/0lKV+58yelTfmsQg1ldbyyYpdh+6qO55d8qwVfHdBtBtU2+9ovuHzrgU+35Wjo39ar7/TPK5QtKC7x2Oze040gb8NxLvfJlkPq9+fPXcYrKM/XxH33YdfvqgkffOPSysIdTzcdyk7V3Sl/5/SdWNWnM9R/B3y1evVqDRkyRMnJybLZbFq0aJHLdrvdrokTJ6pZs2aqW7euBgwYoF27XD+nx44d07BhwxQTE6O4uDiNGjVK+fmu44ds3rxZvXv3VnR0tFJSUjRt2jSzTw0AgKBAwu2kJlxnvbchu8pBpnypwKmq2bAvqjps+SPZ7dKU/3yrPtNX6m9umk4bpToJctaBE+o9baWWbTe+r7C7mr5Su11FTsmVu8jLv86LtxzUe19l69lPdmjoG66tICp7Lzjv+y2nWvDy/dm3VpKASdL7Xx3wapRpSXrZixr2QNh/JPDTiTmPHO78sbPZbFq+41w3iFPlpsArLilVz6eXq9dzy91+Vsu/te2y68SZQp1w09XEHefn/8+8r7XvyGndP/+/Hss/4WE2Am/27425X+5Tj19GN6+wr0pSaefxKfYdOV3pMUK5pZM/Tp8+rS5dumjmzJlut0+bNk0vv/yyZs2apfXr16t+/fpKT0/X2bPnWyANGzZM27Zt07Jly/Txxx9r9erVGjNmjGN7Xl6eBg4cqBYtWmjTpk2aPn26Jk2apNmzZ5t+fgAAWC3C6gCCSg240Mr455Yqy/hyQRnIJr7uLr5nrz6XaD/3ybca0+ciU477mpupi8rzNIK6u+apZlbG2yUVOyVWp846J042fbn7iFaUG3DKJpv2/uQ+yfD2rXC2uFTHTxeqUf3Iivuo5HknzxTpkX9s9u4gQcQ5eZ375T4NTW2hyIiwCmXCbN7VXpeU2vXKil0a2+9ir5osezti/0/5BY4kPL+gWLF167hst9vtLn/jklK7uj67zKt9S+4HrCs/e0F1+Ho/b9JH2z1uO1/DXflOq064fYsp1A0aNEiDBg1yu81ut+vFF1/U448/ruuuu06S9M477ygxMVGLFi3Sbbfdph07dmjJkiX66quv1LNnT0nSK6+8omuvvVZ//vOflZycrHnz5qmwsFBz5sxRZGSkOnTooKysLM2YMcMlMXdWUFCggoLzrRny8qqeXx0AgGBEDbeT2nKd5ct5ejNYkXHslTwyz/RPq57/2l0wH2z6we++r/6y26VCp5sgX+0/7rJ92BsV+/HbbFJ4uSyiuORck/3NP3g3x/Xs1XvV7ellOnGm0KcbCmf9nCLNas4J76SPtldoYVFUUqp+f/5ct/w10+t9vrDsOy3K+tHjdufEuLLX+PqZX+qZX6ZQc74x4C5RLCm3n9MFvn2e/Z3izlve3ljwlz8tdGpbDXdl9u3bp5ycHA0YMMCxLjY2VqmpqcrMPPfez8zMVFxcnCPZlqQBAwYoLCxM69evd5Tp06ePIiPP37BLT0/Xzp07dfy463dYmSlTpig2NtaxpKSkmHGKAACYjoTbSW25zjpYycjCVqrq2tioKavezvQ9SV6505gprqqrqKRUxVX04a6wXuWTObvmb8jWI//YrPHvux9R/olFW5XvJjl768v9Fe49VFbD+7JBfbJP/uxdE2ijlM8Dv/7+fFLw44mfddOsTGUfO1PhhkdVlmzNkSQdcdMP2flVLJ+IOj/MOnBCb/wycKDzend/h+omtMXlM3aDGZlwl9rtOnW2SHlONwmdu0J4i3m4z8vJOfd+TUxMdFmfmJjo2JaTk6OEhASX7REREWrcuLFLGXf7cD5GeRkZGTp58qRjOXDAv9kpAACwGk3KndhqTR13cHAeiEty09+03GN3SYo/vvFjxOP/bHV/UeiOmdNh3Tf/v+pzSbxPzykqtSvcKYlYsjXH7dRLzjzV3L+0YpfiG0R5fex5640Z5b7LU0u1f+pgQ/bljfKDjTnnYLfMynQZmM4XS7fn6sXl3+nF5buUFBOtKTd00p6f8vXJlkMuNzi8TUSdy7lrSr1486Fyf2vfvuOKSive3DH0hp2B+Xz7iZ9WWPfM4h16daVv4wLUtiblwSoqKkpRUd5/1wDwTcvHFlsdgluB/K0HAoUabidcaAXWw//nWrtaftCj8o97PbfC9JiMsPtwftWF/HQkv8ClSbk3CotLXZrJ7sw95XVTck8xOBv99ka/9+WLmT4mTtXhKeEtLimtkGz7OmXVi8vP1frn5J3VXXO/0jOLd+jr7BMuNbPlG3N4atrtXK7sv5u+d611P+Z0Y6uqGQzKO1tk7hgOvkyn5+/ght4OEFemfPeL2iwpKUmSlJvrOihkbm6uY1tSUpIOH3ZtAVRcXKxjx465lHG3D+djAABQU5FwO6ElYWCVjbxc5psDJ9zOvQ1XH28+5HZ9ZW/fxVvOP+fVz3b7XUPrTmFJqaFTg3niVV97g5TP7XLyzmrGsu909QurKpS9fuaX5Z5rd/nXH87dJ2Ys+87t39xut7v0ybb/khvfWMksBffO+9rjNk9un71O72Tu9/l53vCll8i0AP39s7JPBOQ4oaBVq1ZKSkrSihXnb3bm5eVp/fr1SktLkySlpaXpxIkT2rTp/Ejwn332mUpLS5Wamuoos3r1ahUVnb/5sWzZMrVt21aNGjUK0NkAAGANmpQ7oUm5uaqqzfrbmn362xqn6acCMGqaGdN5WaWyG0bOIzMXV5Hl5J31vb/0Zc+6n6rJDOXnbg6ErT/maeuP3o2S/NKKXep9SVPd/Xf/a/6da9g9dYFolfGJy+PKpsWqjsy9R5W5t/IuCP7ypQ/3617MJmCEY2cKqy5Ug+Tn52v37vOtR/bt26esrCw1btxYzZs314MPPqhnnnlGl1xyiVq1aqUnnnhCycnJuv766yVJl156qa655hqNHj1as2bNUlFRke677z7ddtttSk5OliQNHTpUTz31lEaNGqVHH31UW7du1UsvvaS//OUvVpwyAAABRcLtjHzbVGVNab31kkEDblVm9DuBaQ4dCLl5xtQyd5601JD9mGXkHPP6yBvhxeW79PfM73X0tP+J27OLd/j8nEDcoDJaXoAHw/NGbfsZ2Lhxo/r16+d4PH78eEnSyJEjNXfuXD3yyCM6ffq0xowZoxMnTujKK6/UkiVLFB0d7XjOvHnzdN9996l///4KCwvTjTfeqJdfftmxPTY2VkuXLtXYsWPVo0cPxcfHa+LEiR6nBAMAoCYh4UbAuJvTF/CVkc3hzVKdZFuS/vlfz9OHefLGF3vVuH5oDTL1vwuyrA6hgto2Snnfvn0r7f5gs9k0efJkTZ482WOZxo0ba/78+ZUep3PnzlqzZo3fcQIAEKpIuGGJUEiagFAyc2VgmlwDAADAewyaBkvkBOlc4Ahu9767qepCQDXUrvptAABgNhJuZyHYBzJUlfgyPDHwC1/mQwcAAACsRsINSwRiGikA8FUt68INAABMRsINS4yd7/t8wAAAAAAQSki4AQD4RW0bpRwAAJiLhBsAgF+QbgMAACMFRcI9c+ZMtWzZUtHR0UpNTdWGDRusDgkAAAAAgGqxPOFeuHChxo8fryeffFJff/21unTpovT0dB0+fNjq0AAAtQwtygEAgJEsT7hnzJih0aNH66677lL79u01a9Ys1atXT3PmzLE6NAAAAAAA/GZpwl1YWKhNmzZpwIABjnVhYWEaMGCAMjMz3T6noKBAeXl5LgsAAEaw0YsbAAAYyNKE+8iRIyopKVFiYqLL+sTEROXk5Lh9zpQpUxQbG+tYUlJSAhEqAAAAAAA+sbxJua8yMjJ08uRJx3LgwAHD9m2X3bB9AQBCD324AQCAkSKsPHh8fLzCw8OVm5vrsj43N1dJSUlunxMVFaWoqKhAhAcAqGUuSWhgdQgAAKAGsbSGOzIyUj169NCKFSsc60pLS7VixQqlpaVZGBkAoDa6uSfdlAAAgHEsb1I+fvx4/e1vf9Pbb7+tHTt26N5779Xp06d11113WR0aAJjmySHtNaRLstVhoJzwMNqUAwAA41japFySbr31Vv3000+aOHGicnJy1LVrVy1ZsqTCQGoAUFP8T9+LdNevWunr7P8avu+7+7TWX1fvNXy/tQV9uAEAgJEsr+GWpPvuu0/ff/+9CgoKtH79eqWmplodEoBa5o7LWwTsWGW1qJ0uiDF837+/spXh+wQAAIB/giLhDhalDFIO+KVNYugPNNUh2b/kt1erxj4/p3XT+pKkO68wPjk2soa2X9umxu0sRDAPNwAAMBIJt5PHF221OgQgJDWqF+l2fZvEBiHTT7ldM/8S7kevaed12YVjLtdDA9voui4XSJIiI8I07cbOfh3XkzADM+637uqlsf0uMmx/AAAAtQ0Jt5MSqrgD6t6+XMjXFN1bNHK7Pjmuru76VcvABuOnBlERmv8Hc7uzpLZuovuuvkRhTgNz3XJZilZMuKpC2fv6XezXMWw6l8iXV7dOuF68tavP+7uwUT2/4ghV9OEGAABGIuGGKbo3j6uyzDUd3M+1jtBjr+ReVffm7pPx4GNXw+g6pu29dXx9r8p1vjBWo3u30vXd/GsZEGaz6cJGdSust9nO7dtXN/e40K84vHF7r+bKGOR9CwEAAIBQQ8INUzhPrVPZNDvUcoeOlMYVk7iqhFplYWlldw6cRLmpQa5Mg6gILbw7zeN259dp4Zg0/Wlwe3l69b54tF+lx/LUpDzMZlPrpg1UPzK8qnBdRISH6btnBvn0HG+8cns3PXt9R93p1ALCyOT+1nLzabur9Xcn1N6zAAAguJFwwxTOF/3XdfVcU/fvrIOBCAfV1L15nCLCPH9d2OU+UbUZ3D539cOVJ5vVYbdLJV4k3KOubOXS7NibU7ylZ4qaNozyKo6q9ldlE28Pzy+775V2UbxXcTiLjAgzvKn1kC7JCguzubyvmsX5flPHk4bRrrNeDukcGmMJAACAmoWEO0Q0iKp8yvQLG9XVgEuNm7s8vUP19uVcqx0VEa5UDyM5FxSXVus41XFRU++a+EK6tlMz2StLRj1sMrq2sHkTc/sTezrFxJjzyXJc3TpKriIxLP/e8idZ9TfB9dSgpOzmRyUNTirlZeW/z2zl/m/UIG02m/Tnm7uo4wUxWpfRv0IC7lVAAAAA1UTCHSJuqqKp5eOD26tRPeP6n9at41uz0/JcE27PbzMrBygycjTnUDBreA+fn3N3n9Z6Y0RP3XlFS085dY1hl9TFQx/nqIjzn4fWTRto9h09HY/dvYtWTOjr8tiXd1p135aeWhWUfSTjDPyeWJfR37B9SefOfVDHZo7HlXVHqXpfNt3U40J9fH9vJcVG64H+l/g1hRsAAEB1kHAHuS2TBmr+H1L1+18ZP19vZUqqmV05X/TXCbd5TCKqcT1dbbUt4R7YvupWC6sf7qfBnc8nPA8OaKMB7RMVER5Waf9mo5PxQR2tGVAvIjxM13aqeOyJv2kvSWoWG61rOyXp4gTf5h33q4bbzTrnmnZflb3fq5PElpcUG13tfTi/NvuOnHapSd/4pwFa/MCV1T6GJDWuH6n3K+lH74iHKm4AAGAgEu4g1zC6jq64OF7h4a4Xgf3bJZQraTcsgYytW0fJ1byQjghzTrjDVCfc/VvNyovb2pRvPzaonctUVM6e+10nvTGip/42oqeaN6mnYb2aS5J6tWysuk4DbJVW0vrfU3Nzb/pEu5PgZX9nM7g7zxZN6mn/1MHKzOhfoQb5onLJd+P6Feckr+qzWd2+7v+49wrH/0tK7W4/VecPYewbv72f85eXcT735dtz1TapoRJjotTpglg1qh+pDsmxmnZjZ5cbQV7tt1pRAQAAGMPLTm2wWvlc6Z6+F2nFt4dd1hmVQG74U3+9vGJXtfYRZnNNuJ8c0l4DZqyubmiGMuoGxX/+t7e2/HhSj/zfZkP2Z6Y1j/RTxj+36IvdRxzr2iY1UI8W55vaXnFxvNY80s+Q2stQmtq+7N6Au5p8d6exedJAFRSVKsZpKrHEmCgtfqB3xcJVvNVinPoXh//yvnSXhHuaSu/ihAbq06apwm2u+3L2/I2dJRnfqiQi3LgdhtlsiowI05ePXu3y+bzlshTdclmKLmr6nfffTX6GVZtuxAEAAPNRwx0ifK0JnjSkvd/Hcu6v6q9mTslaZESYWjRxP0CZlRe3vS/xfbRmZ+sy+uvj+6/Upc1i1LhexVrNYJTSuJ76tHE9b3eV0CmN61VoleCpFvuNET3d7qNlk3qa+JtL/YrTijy9bKR1b28SxETXcYw8Pn90qm7qcaGWjrtK8Q18r51v0iBKrw3rrjdH9lSEh9YgkjTmKvcDitWPDNc7v++lt+7q5bG2vGtKnCTvbzQN7uRdjXL9SOPu25aFFhEe5rZFxvhft/F+X35m3OTbAADASCTcIaq0XFZgt7smr3d62ef70WvaGRmWg/OczZHhYS4Xsc1io9UlJU4dL4j1+uL/8cH+JW6ePH1dB437dRt9+mAfv/eRFButjhe4H2QrkH7tRd9sZ+UTEW+TW0+J6ID2iW738fnD/XRxQkOfYrNS2U0TdzcWqmoZf8VF8frzzV0UW/d8bbfL1GFepHHXdmqm/k4zDbh7Rh03SegFcXUrJOl3XN5CktQ28fzrX/b38/Ym11VtmnpV7tnfdfRuh17w1O2hKo8NMud7DFLLli1ls9kqLGPHjpUk9e3bt8K2e+65x2Uf2dnZGjx4sOrVq6eEhAQ9/PDDKi4utuJ0AAAIOBLuEBRmO9dP09m5R75frHqaGutXfszV68wmm+68oqVSGtfVrb1SXGrdZg7rrkX/c4XXgzfNGt5do65spW1PpatNYtWDVV1drn/7gwMuqVDmjrSWiq4TrrZJDbV/6mC1MHm6KTNdEFdXN3S7wOvy5RMub7tZX33pude1uv37vWHGFFRVjc6dEHPuvNw1Ka9swDhPPr7//GBfXVMMujHj5iMTU7fieY28oqX+NfZXWjT2V7qwUV1dEFfX0bfc8KnaGhv32fE3trKm9s7N6f1tPWP03PGh7quvvtKhQ4ccy7JlyyRJN998s6PM6NGjXcpMmzbNsa2kpESDBw9WYWGh1q5dq7fffltz587VxIkTA34uAABYgYQ7RLjUltlsKnZT3Vj+OrGslqvy/bq/uLzi4ngtHHO5Nvyxv199Pm02adJvO2j1w/0UE12nwoV02XGruradcUsXXdOxmWw2m+pHRbg97/KKSlxHvXpwgPfNUAPFl6axzvq1PVfrGBURpr+P6qUbul+gcb9uoz+6aQGw5pF+jv9Xli82ru/dNFGPD75Uz1zfUR+O/VWFbUYnyHYTGpV72/S5uiP0l3FuvdG3bflBDqvm7rPhrqbcXY28zWZTl5Q41Y0M1+cP9dWqh/s6bnB1b9HI51gqY+So5/6MqxARZlPL+Pr68rGrte6P56cpI202RtOmTZWUlORYPv74Y1100UW66qqrHGXq1avnUiYm5vxAekuXLtX27dv17rvvqmvXrho0aJCefvppzZw5U4WFhVacEgAAAUXC7aSOgYP/mK18DbdU8QLTm2vXyoqktm6ihJhovXx7N59iO3dsW7l/PZWrfD83dHedf7x8Mu2Ou9fG2ejeFZvbB/ov36SBf32+Z4/oqRm3dNFnD/VV70uaasYtXRVbt47iG0Tpj9e6NqtN8VDz6HyT5anfdvC62Xe9yAgNv7yFEmMq1nCbkSBbZYSbG1XVvaFgVKWpP/uJCA9zaXL+2y7JLtsvbFS3/FPc8tQKxGazafvkdG2eNLDKfXRvHqdOF8RqnIebYNWpXb4grq7qRRpQw+13BDVfYWGh3n33Xf3+9793+VvNmzdP8fHx6tixozIyMnTmzBnHtszMTHXq1EmJiee7S6SnpysvL0/btm3zeKyCggLl5eW5LAAAhCISbiehNP9q+Zre8n24veXNc9xNc+ROU6epnMr3/3S+OHM+ZEoj35qjFntR/VhVLfifBvs/oFwgVJYA1QkP0w3dL9QFcd4lSe7EOyX7I69o6fd+jNIq/ly3BueB9sxoUu6tAe0TNTS1ucu66t5Q8Oe7pbLn3N2n9flyPn7wy5dfMOZyRUW4+Skot9u5d/XSkC7JWjDmcg1Nba5/3Ht+Tut6kREuo7V7El0nXB/df6X+1003D8nYEdRD6fs8VCxatEgnTpzQnXfe6Vg3dOhQvfvuu1q5cqUyMjL097//XcOHD3dsz8nJcUm2JTke5+TkeDzWlClTFBsb61hSUlKMPRkAAAKEhDtEla/FbRYXXeEC05vLTSO7K97U43xt9MUJVfe1luQyyJQ3+l9addNcbwd7MlL75OrNRezM2xsc5XmbpP6mc7KGpTbXS7d19es41Tm2O92bN9Lqh/tp5UN9z++v+iFVSwsD+iVX97OVHBetZrHRLi1vyv6Xca2xgwguGHN5lWVaxdfXK7d30+Wtm+i533VymUrOW2v3HK3yGFajC7dnb775pgYNGqTk5POtJMaMGaP09HR16tRJw4YN0zvvvKMPP/xQe/bsqdaxMjIydPLkScdy4MCB6oYPAIAlSLidhdCFlvNF4dPXdVD35o0qXCh6U/PlVS2QidmPr4naH8slGtF1XN/Ct12WotG9WyvQkuPqavn4q6ou6AV/34bONyMqqwEPD7Pp2d910nVdvR9orby37rpMF8TV1Xujq07UynttWHeXx2E2qXmTeoqu43k6ustbN9YiN33HzVL+benPDQXn5/jbFHzNI/20Ynxfp/0Y/yVls9nUNik4RpNv6EUteXnl/zRlN/sGd/ZuWjN45/vvv9fy5cv1hz/8odJyqampkqTdu3dLkpKSkpSbm+tSpuxxUpL7eeUlKSoqSjExMS4LAAChiIQ7RPVrm6BuzeN0169a6o60lpKkJvVd5/9t5MXc0F1+mZu3zK8ubuJ3TH0uOVezHFnJPMKSa9Lg3FT3jRE9tWPyNZXW8NaLjHCZH7h8Evbs7zopMiJMl7f2vfatzN19WiutdRP1betbTbm3tfpVKpdUDWyfqOaN6+mZ6yuffunihIYa+MsUYa8P715p2erq1zZBXz52tdIu8v39cnlr1+e4yyHLJ7gLxqQ55pEORf6myefmo658P0ak4MHS/NrTXO++WPzAlVqX0V+XNvMvQQuW1yLYvPXWW0pISNDgwYMrLZeVlSVJatbs3Pd0WlqatmzZosOHDzvKLFu2TDExMWrfPri79wAAYATvhu2F5ZybXtetE67IiDB9+D+uyeboPq30bU6erumY5Hi87eBJDeqUpHELv3G73/LJ7dQbOvsdY5eUWH3yQG+XvrjuhDtlWM4t4wf4OJ+0JLVLitFfbu3iOL+yEZMviKsn6ZjP+5PON9cd/c5Gv57vDU8X9dNu6qz567Nd1rWMr6/ZI3p6td/ZI3rqbFFJpbXFZvAlUSpf1t1r0Sq++k26v/rTAL3xxV79ddVe1Y/07fUofzr+5IGBappsdfN7I/kz/Vp5URHhSooN7Pu/pistLdVbb72lkSNHKiLi/GXDnj17NH/+fF177bVq0qSJNm/erHHjxqlPnz7q3Pncb8nAgQPVvn173XHHHZo2bZpycnL0+OOPa+zYsYqKivJ0SAAAagxquJ0Ec72GcwLlaTT1epERen14D0dT4XqREZo9oqd+1+1Ct+XdiajGSO022dQ+OUaNPNRQ394rRX3bNlUHp/7O7q6vq0zeyoVY6mbgcl8HuXLXVNefV8KXPunOfZYlaf/UwbqlZ0qFgaN8jcNdsm32KOLV2bvzS//+3Wm6t+9FuvOKiiPJ+6ppwyhN+HVbTb+ps5aNv8q3mwLlzigxtnqJgVFNwc1I4m0e9hvI78Nbe54bEOv+/u4HU3NWfpR1mG/58uXKzs7W73//e5f1kZGRWr58uQYOHKh27dppwoQJuvHGG/XRRx85yoSHh+vjjz9WeHi40tLSNHz4cI0YMUKTJ08O9GkAAGAJarhrMXdNt93O8+vl/qpKBqa4rT33PVXr3y5BizcfUsOoCM97MCC/9Ce5eW/05Xr2k+16OL2drp/5ZaVlW8XX1+jerfT+xh+05MHejvUV5iIO5jtBHtzey/OIwuX/NM7JaK9WjdWrlXfdAVrH19feI6crLRMZEaabe1Y9uvELN3fxuO39u9OU0LDyVhvuuPTh9vnZ7tXU5s5Tb+ykJ4a0V4Ooqn+S/nxzF428oqVufH1tACKDdK6W2t0Nq5SUFK1atarK57do0UKffPKJGaEBABD0SLideJNgNYuN1qGTZ80PxiRNG0bpp1MFkoydgkfyL0G9vVdzLd9xWN2bxznWVZUrX9/1AjWqH6mOybHnyru5ELSqmW375BjN+0PVA4mVvVZ/Gty+wjRloThKsvOfYOcz1ygqwvsmvVWdb/kpuhzH9PoI5zz7u066a+5XLuuaN66n1Y/0q7hvp517ewOgMob9TS2uiTaLzWbzKtmWzt1E6dGikYnBmLdrAABQ+9CkvJZxTrLdNqOuxsWmP7Vv/S9N1MqH+mrBmLSqC/8iLMymfm0THPN+u0u8hnQ5N2BPSmP/56t2rmkecOm5Qep+88vIx96MgBwT7d/9rIrTuwV/BuDcBLuqZLv8/ZGqzq5XS/cJr68DbPVrl1Bh+qul4/q4LdvagOmpAnXj5IJK5m33hs3mvmuHv9PTBZoRA60BAACYhRpuH3lzbdcgKkL5BcXmB+MH5+QtGGq4perPvevugrtf2wR9fP+ValmNfTufz4WN6umNkZdJkjKu/VnNYqpuYrz4gd7qPW2lz8ftfGGsNuw/P+BbKNZ4+8LT3Oqt4utr35HT+tXF8W63l/qRZzkn7xfE1fU4uNw1HZP0+OBLK4zi7wvnGzZm9OF+b/Tlenf993pySPVHena+YTLh1210/EyRrm5X9Zz3AAAAqBwJtxNvahK9GXwqmPMj5wv2Cn2F5T72yAjvGkIYdd6+Vli5S7xsNps6XhDrePzmyJ569B9b9OKtXb3er/P7wTmpr2yOa2cpjf0baXv8wDaqHxWhl1bs+iWO6jO7EtCX/cc3iFRa6yY6erpAT1/X0WOT7aXj+ujnohLFeJibOa5eHWX7OBB9WJhNe567Vqu/+6nSZNpms+kP1ZzP/ZKEBup9SbyhNcXO74W0i5r4NS2bO85/vxt6XOj1e9wbgzom6T9bcwzbHwAAQCgh4faRV4mFyRl3uEFV0+4Sbnd6NHffX7JNYgPdcXkLPfGvbZKMq8Xz1WUemhw7639por76U4LfMXZIjq26kEHqRUZo3K/bOBLuUOBLPm+z2TR/dKrj/57UCQ9THTdzur9152V6deVuTb+ps65+oeoBm8oLD7OpXwBqb202m/4+KtXwfRrNJpvq1glX04ZRKiwuVWJDpmoCAAAwCgm3E6OuZb1NZP1V3YvuFk3q6fujZzSwg3fzXoeF2XRho7r64fjPqhcZrjOFJZKkSxIaqtOFcefjqlZU/rs4oYE+fbCP4htUXpNY2euWGBOlfeVGvHYufmMP76dW84Yvr5URbyerm6XP/0Oq/rRoq577Xadf4vE/oH7tEgKSMNcWdeuEKyzMprWPXS27XYpwc5PDKFV9Rv1h1A1IAAAAMzBoWhWa+9Es2OzkJrwaB7BJ+r97rtCfb+6iR69p5/Xz3vl9Lw3qmKT37z4/uFm35nEuTa2NOm9/BkFqm9RQTRr4XzM3/aYu6tOmqf4+qpdjnXNSaOVFvRE3cKxuUn7FxfFa+VBfw5pA11ZGvQvj6p1vph/7y//rhId53X3EX/70u/dk1vDuim8QZUIrAkN3BwAAajlquJ2Uv85aNq6PLk5ooFYZ5+cPDYIW5dUa7Mxms6lpwyjd5KHG1tP5tW7aQK8P7yFJWj7+KmXuOaLbejXX1h9Puuw7VKU0rqd3ft+r6oIWCI3XNThGin7x1q56cGGWnr6ug9WhmMKot8J7oy/XtCXfasLAtsbssBJm3ey5pmMzpXdICpHPBwAAqK1IuCtxSWJDv55n1AXgb7sku10fZnETyosTGujihAaSzEmz6kaGK++s9aO8G/Eyb/hTf/V6dkW19lGdFg2BEiwzM13f7QKld0hS3Ujv5wGvjS5tFqO37jLvBlP7ZjHafiivwnqjp/Ai2QYAAMGOJuUmMOoS8C8eRtQ2s4+4r9fDZiRas+/oqeaN62nW8O7G79wHRrzKCQ2j1S6p4o0bX/6EodBFNVgSbkkk20Hglp6+taABAACoqUi4PRiZ1sLtem8Si1l39DAkBk/9hqvTn9j4XN34S+guKXFa/Ug/XdOxmeH79oVxcydX3I8vrSeMaNHgz1gEgL+c3/MpjY2bYswIH913pSZVMnd5CNzfAgAAIYSE24lz6nhD9/M1NPP/kOqhlHveTFNVHdXJA6t6rjfzjLuUp8qqSu5e8u4eplpzpzotGuaPTtXD6W01uJO5Ny98fd8YZbZBN7dgLJvt3Pfm0NTm+t8BbRzrg+H7otOFsbrzV62sDgMAANQS9OH2whUXx1sdgovq9OmNrVun0u3BcEEcLAybJq6at7WqM0vTFRfF64qLzH//WvW+GdghyZoDo0pXXBxf4bvT6D7cAAAAwY4a7hDkT43nGyN6qsuFsXrptm6VlvP1crgmXz7bDGpcWt39mD2vO2C2tr90objW5JYWAAAAwYYabh81rh+pI/mFlhx7TJ/Wmr16rzKu9X7+7DID2idqQPtEw2Oiwqpq1e2CHQoJd/0ovkrM0jD6fKuUiOo2lwiQqHLzec8fnarPvj2swZ1JuAEAQO0SGldvQeTh9Hbq27ZpuXUV57Lt2cL7Prre+uO1l2rLpIHq2zbB8H2X8bXJZ0LDKJMisZ5Ree6gatbqhcIo5Q/0v0Tdmsfp2d91tDqUGie2bh29MaKn5t51mSIjgvsr+8EBl+iylo10XdcLXNY3aRClm3umqF5k8N+YYaoxAABgpOC+egtCjevX0dy7eikm+vyF49h+F1coN/XGzqYc37m2Kxi0jK+vl27rqr+PMm9OX6sYlej+4cpWmn1HD02/ybf3RMNfao17t2laRUnrNa4fqQ//51calup+dH9Uz4D2iabeaDPKgwPa6IN7rlB0ndCdmi0U5r0HAAChI/irG4JMneqMYFVDla/NqimM6sMdER6mgR2StGJHrk/Py/xjfx3LL1TzJkzpBQTCo9e0Yx53AABgKLJHL426spWu6ZCkThfEelU+VCtJ6JNtHl/fEw2iIki2AZPc2jOlwrp7+15kQSQAAKAmI+H2oHwtxxO/aa9Zd/Twun9fKCWuix+40uoQglKIjE8FwA89Wxo/zgYAAEB5pBQetPllGhtPft3+3Py/reLrByIcU3VIjtXgTs3Ur21TXdiortXhBJEQbaYAoEohdE8UAACEMPpwO/GlVnrydR3UrXmcBnao/lRbF8TVVe9L4jUstYWGvPpFtffnj5nDulty3GBmdLcAo/qEAwAAAAgNltZwt2zZUjabzWWZOnWqlSF5rX5UhIZf3kIJDaPdbvclWUuOi9bUGzur04Xe9Q8HAFRPUoz7724AAAAjWd6kfPLkyTp06JBjuf/++60OyRDe1JZPu7Gzmjeupyk3mDOFGKonFOa/BuCf3pfEa8Kv21gdBgAAqOEsb1LesGFDJSUlWR1GtXW6IFZbfjypazp4fy63XJaiWy6rOFIugkOLxgb3zyeBB4KGzWbT/f0v0QvLvrM6FAAAUINZnnBPnTpVTz/9tJo3b66hQ4dq3LhxiojwHFZBQYEKCgocj/Py8gIRZpXm3nWZ/rM1R7/tmmx1KDDIiCta6PCps+rbNsHqUAAAAACEIEsT7gceeEDdu3dX48aNtXbtWmVkZOjQoUOaMWOGx+dMmTJFTz31VACj9E6TBlEafnkLq8OAgaIiwvWnwe2tDgMAAABAiDK8D/djjz1WYSC08su3334rSRo/frz69u2rzp0765577tELL7ygV155xaUGu7yMjAydPHnSsRw4cMDoU7BUxqB2ks6Ngo6ahRblAAAAQO1ieA33hAkTdOedd1ZapnXr1m7Xp6amqri4WPv371fbtm3dlomKilJUVFR1w7RMRJhNxaWeR1S7+6qLdOtlKYqrFxnAqBAINqPnGQMAAAAQ1AxPuJs2baqmTZv69dysrCyFhYUpIaHm9plN75CkxVsOVVqGZLtmSmvdRBcnNFDbxIZWhwIAAAAgACzrw52Zman169erX79+atiwoTIzMzVu3DgNHz5cjRo1sioswDSREWFaNq4PNd0AAABALWHZPNxRUVFasGCBrrrqKnXo0EHPPvusxo0bp9mzZ1sVkuzyYvLs6iLXqtVItgGEkkmTJlUYh6Vdu3aO7WfPntXYsWPVpEkTNWjQQDfeeKNyc3Nd9pGdna3BgwerXr16SkhI0MMPP6zi4uJAnwoAAJawrIa7e/fuWrdunVWHt8zo3q21ePMhDe7UzOpQAACoUocOHbR8+XLHY+epO8eNG6fFixfrgw8+UGxsrO677z7dcMMN+vLLLyVJJSUlGjx4sJKSkrR27VodOnRII0aMUJ06dfTcc88F/FwAAAg0y+fhrm26psRp86SBahjFSw8ACH4RERFKSkqqsP7kyZN68803NX/+fF199dWSpLfeekuXXnqp1q1bp8svv1xLly7V9u3btXz5ciUmJqpr1656+umn9eijj2rSpEmKjGTMEgBAzWZZk/LaqE1iA0lSTHQdmhYDAELCrl27lJycrNatW2vYsGHKzs6WJG3atElFRUUaMGCAo2y7du3UvHlzZWZmSjo3XkunTp2UmJjoKJOenq68vDxt27bN4zELCgqUl5fnsgAAEIpIuAPIRgduAEAISU1N1dy5c7VkyRK9/vrr2rdvn3r37q1Tp04pJydHkZGRiouLc3lOYmKicnJyJEk5OTkuyXbZ9rJtnkyZMkWxsbGOJSUlxdgTAwAgQGjX7MQegDHTAAAIFYMGDXL8v3PnzkpNTVWLFi30/vvvq27duqYdNyMjQ+PHj3c8zsvLI+kGAIQkarhNQ/YOAKhZ4uLi1KZNG+3evVtJSUkqLCzUiRMnXMrk5uY6+nwnJSVVGLW87LG7fuFloqKiFBMT47IAABCKSLgBAIBX8vPztWfPHjVr1kw9evRQnTp1tGLFCsf2nTt3Kjs7W2lpaZKktLQ0bdmyRYcPH3aUWbZsmWJiYtS+ffuAxw8AQKDRpNw0FftrM04aACCUPPTQQxoyZIhatGihgwcP6sknn1R4eLhuv/12xcbGatSoURo/frwaN26smJgY3X///UpLS9Pll18uSRo4cKDat2+vO+64Q9OmTVNOTo4ef/xxjR07VlFRURafHQAA5iPhBgAAbv3www+6/fbbdfToUTVt2lRXXnml1q1bp6ZNm0qS/vKXvygsLEw33nijCgoKlJ6ertdee83x/PDwcH388ce69957lZaWpvr162vkyJGaPHmyVacEAEBAkXCbhj7cAIDQtmDBgkq3R0dHa+bMmZo5c6bHMi1atNAnn3xidGgAAIQE+nADAAAAAGACEm4AAAAAAExAwm0aRkgDAmHOnT1Vt064Xh3azepQAAAAABck3E7u/FVLSdKASxMM2Bt9uIFAuLpdorY9la7fdE62OhQAAADABYOmOXl4YFv1bZOgbs3jTNm/jXnBAFOEhfHZAgAAQPAh4XYSER6mtIuaWB0GAAAAAKAGoEk5AAAAAAAmIOEGAAAAAMAEJNwBRC9TAAAAAKg9SLgBALXWq0O7KTIiTH8b0dPqUAAAQA3EoGkBxCDlABBcftM5WYM6NlM4I90DAAATUMMNAKjVSLYBAIBZSLgBAAAAADABCbdpqDEBAAAAgNqMhNskrePrK75BlNVhAAAAAAAsQsJtkrAwmxaMSXVZx6BpAAAAAFB7kHCbigwbAAAAAGorEm4AAAAAAExAwg0AAAAAgAlIuAPIRhNzAAAAAKg1SLhNZbc6AAAAAACARUi4A4hRygEAAACg9iDhNpVrhm2nwhsAAAAAag0SbgAAAAAATEDCHUA0KQcAAACA2oOEGwAAAAAAE5BwBxAV3AAAAABQe5BwAwAAAABgAhJuAAAAAABMQMINAAAAAIAJSLgDiWHKAQAAAKDWIOEGAABuTZkyRZdddpkaNmyohIQEXX/99dq5c6dLmb59+8pms7ks99xzj0uZ7OxsDR48WPXq1VNCQoIefvhhFRcXB/JUAACwRITVAdQm1G8DAELJqlWrNHbsWF122WUqLi7WH//4Rw0cOFDbt29X/fr1HeVGjx6tyZMnOx7Xq1fP8f+SkhINHjxYSUlJWrt2rQ4dOqQRI0aoTp06eu655wJ6PgAABBoJdwDZrQ4AAAAfLFmyxOXx3LlzlZCQoE2bNqlPnz6O9fXq1VNSUpLbfSxdulTbt2/X8uXLlZiYqK5du+rpp5/Wo48+qkmTJikyMtLUcwAAwEo0KQcAAF45efKkJKlx48Yu6+fNm6f4+Hh17NhRGRkZOnPmjGNbZmamOnXqpMTERMe69PR05eXladu2bW6PU1BQoLy8PJcFAIBQRA13ANGkHAAQqkpLS/Xggw/qV7/6lTp27OhYP3ToULVo0ULJycnavHmzHn30Ue3cuVP//Oc/JUk5OTkuybYkx+OcnBy3x5oyZYqeeuopk84EAIDAMa2G+9lnn9UVV1yhevXqKS4uzm0ZBlEBACA0jB07Vlu3btWCBQtc1o8ZM0bp6enq1KmThg0bpnfeeUcffvih9uzZ4/exMjIydPLkScdy4MCB6oYPAIAlTEu4CwsLdfPNN+vee+91u71sEJXCwkKtXbtWb7/9tubOnauJEyeaFVLAlZ8FjFnBAACh6L777tPHH3+slStX6sILL6y0bGpqqiRp9+7dkqSkpCTl5ua6lCl77Knfd1RUlGJiYlwWAABCkWkJ91NPPaVx48apU6dObreXDaLy7rvvqmvXrho0aJCefvppzZw5U4WFhWaFFVB2RkkDAIQwu92u++67Tx9++KE+++wztWrVqsrnZGVlSZKaNWsmSUpLS9OWLVt0+PBhR5lly5YpJiZG7du3NyVuAACChWWDpvkziIrEQCoAAATK2LFj9e6772r+/Plq2LChcnJylJOTo59//lmStGfPHj399NPatGmT9u/fr3//+98aMWKE+vTpo86dO0uSBg4cqPbt2+uOO+7QN998o08//VSPP/64xo4dq6ioKCtPDwAA01mWcPsziIp0biCV2NhYx5KSkmJqnAAA1Favv/66Tp48qb59+6pZs2aOZeHChZKkyMhILV++XAMHDlS7du00YcIE3Xjjjfroo48c+wgPD9fHH3+s8PBwpaWlafjw4RoxYoTLvN0AANRUPo1S/thjj+n555+vtMyOHTvUrl27agVVmYyMDI0fP97xOC8vL2SSbrpwAwBCib2KvlEpKSlatWpVlftp0aKFPvnkE6PCAly0fGyx1SEAgEc+JdwTJkzQnXfeWWmZ1q1be7WvpKQkbdiwwWVdVYOoSOcGUgmVJmgMkgYAAAAAtZdPCXfTpk3VtGlTQw6clpamZ599VocPH1ZCQoKkmj+Iio0MHAAAAABqDZ8Sbl9kZ2fr2LFjys7OVklJiWPU0osvvlgNGjRwGURl2rRpysnJqXGDqDBKOQAAAADUXqYl3BMnTtTbb7/teNytWzdJ0sqVK9W3b1/HICr33nuv0tLSVL9+fY0cObJGD6LyQP9LrA4BAAAAABAgpiXcc+fO1dy5cystU9sGUbmqjTHN8QEAAAAAwc+yacFqA7psAwAAAEDtRcINAAAAAIAJSLgBAAAAADABCbeJGKUcAAAAAGovEm4AAAAAAExAwm0iBk0DAAAAgNqLhBsAAAAAABOQcAfIuAFtrA4BAAAAABBAJNwBct/VF1sdAgAAAAAggEi4TcQo5QAAAABQe5FwAwAAAABgAhJuEzFKOQAAAADUXiTcAAAAAACYgIQbAAAAAAATkHADAAAAAGACEm4TJcZEO/4fRn9uAAAAAKhVIqwOoCZrEBWhVQ/3VZ3wMNkYQQ0AAAAAahUSbpO1aFLf6hAAAACAoNfyscVWh+DW/qmDrQ4BIYwm5QAAAAAAmICEGwAAAAAAE5BwAwAAAABgAhJuAAAAAABMQMINAAAAAIAJSLgBAAAAADABCTcAAAAAACYg4QYAAAAAwAQRVgcAAABqh5kzZ2r69OnKyclRly5d9Morr6hXr15WhwUvtHxssdUhAEBIIuEGAACmW7hwocaPH69Zs2YpNTVVL774otLT07Vz504lJCRYHR4AeBTMN5z2Tx1sdQioQsgn3Ha7XZKUl5dncSQAAJxT9ptU9hsFacaMGRo9erTuuusuSdKsWbO0ePFizZkzR4899phL2YKCAhUUFDgenzx5UhK/9VYqLThjdQgA3OB70Tre/taHfMJ96tQpSVJKSorFkQAA4OrUqVOKjY21OgzLFRYWatOmTcrIyHCsCwsL04ABA5SZmVmh/JQpU/TUU09VWM9vPQC4in3R6ghQ1W99yCfcycnJOnDggBo2bCibzVatfe3cuZO+ZABQi7322msaNmxYtfdjt9t16tQpJScnGxBV6Dty5IhKSkqUmJjosj4xMVHffvtthfIZGRkaP36843FpaamOHTumJk2aVPu33kp5eXlKSUnRgQMHFBMTY3U4IYHXzHe8Zr7jNfMdr5n3v/Uhn3CHhYXpwgsvNGRfDRo0MGQ/AIDQVLduXcMuHKjZ9l9UVJSioqJc1sXFxVkTjAliYmJq7QWqv3jNfMdr5jteM9/V9tfMm996pgUDAACmio+PV3h4uHJzc13W5+bmKikpyaKoAAAwHwk3AAAwVWRkpHr06KEVK1Y41pWWlmrFihVKS0uzMDIAAMwV8k3KjRQfH6/ExMQKd+ABALVD+/btrQ6hxho/frxGjhypnj17qlevXnrxxRd1+vRpx6jltUFUVJSefPLJCs3l4Rmvme94zXzHa+Y7XjPv2ezMWQIAAALg1Vdf1fTp05WTk6OuXbvq5ZdfVmpqqtVhAQBgGhJuAAAAAABMQB9uAAAAAABMQMINAAAAAIAJSLgBAAAAADABCTcAAAAAACawJOG+5JJLZLPZWFhYWFhYWKpYkpOTrfiphsGeffZZXXHFFapXr57i4uLclsnOztbgwYNVr149JSQk6OGHH1ZxcXFgAw1yLVu2rPAZmTp1qtVhBZWZM2eqZcuWio6OVmpqqjZs2GB1SEFr0qRJFd5P7dq1szqsoLJ69WoNGTJEycnJstlsWrRokct2u92uiRMnqlmzZqpbt64GDBigXbt2WRNskLIk4f7++++tOCwAACHn9OnTVocAAxQWFurmm2/Wvffe63Z7SUmJBg8erMLCQq1du1Zvv/225s6dq4kTJwY40uA3efJkHTp0yLHcf//9VocUNBYuXKjx48frySef1Ndff60uXbooPT1dhw8ftjq0oNWhQweX99MXX3xhdUhB5fTp0+rSpYtmzpzpdvu0adP08ssva9asWVq/fr3q16+v9PR0nT17NsCRBjF7EPjiiy/sklhYWFhYWFjKLWFhYVb/TMNAb731lj02NrbC+k8++cQeFhZmz8nJcax7/fXX7TExMfaCgoIARhjcWrRoYf/LX/5idRhBq1evXvaxY8c6HpeUlNiTk5PtU6ZMsTCq4PXkk0/au3TpYnUYIUOS/cMPP3Q8Li0ttSclJdmnT5/uWHfixAl7VFSU/b333rMgwuAUFH249+zZY3UIAAAEpYiICKtDQABkZmaqU6dOSkxMdKxLT09XXl6etm3bZmFkwWfq1Klq0qSJunXrpunTp9Ps/heFhYXatGmTBgwY4FgXFhamAQMGKDMz08LIgtuuXbuUnJys1q1ba9iwYcrOzrY6pJCxb98+5eTkuLznYmNjlZqaynvOieW/4oWFhRo5cqTVYQAAEJRsNpvVISAAcnJyXJJtSY7HOTk5VoQUlB544AF1795djRs31tq1a5WRkaFDhw5pxowZVodmuSNHjqikpMTt++jbb7+1KKrglpqaqrlz56pt27Y6dOiQnnrqKfXu3Vtbt25Vw4YNrQ4v6JV9N7l7z/G9dZ7lNdxJSUlWhwAAQNAqKCiwOgR48Nhjj1U56B2JTtV8eR3Hjx+vvn37qnPnzrrnnnv0wgsv6JVXXuFzAr8MGjRIN998szp37qz09HR98sknOnHihN5//32rQ0MNYmkNd5MmTXT8+HErQwAAIOhFRERo586duuiii6wOBU4mTJigO++8s9IyrVu39mpfSUlJFUaTzs3NdWyryarzOqampqq4uFj79+9X27ZtTYgudMTHxys8PNzxvimTm5tb499DRomLi1ObNm20e/duq0MJCWXvq9zcXDVr1syxPjc3V127drUoquBjScJdUlKimJgYnTlzxorDAwAQUrKyspSSkmJ1GCinadOmatq0qSH7SktL07PPPqvDhw8rISFBkrRs2TLFxMSoffv2hhwjWFXndczKylJYWJjjNavNIiMj1aNHD61YsULXX3+9JKm0tFQrVqzQfffdZ21wISI/P1979uzRHXfcYXUoIaFVq1ZKSkrSihUrHAl2Xl6e1q9f73FGhtrIkoS7adOmJNsAAHghOjpaHTt2tDoMVFN2draOHTum7OxslZSUKCsrS5J08cUXq0GDBho4cKDat2+vO+64Q9OmTVNOTo4ef/xxjR07VlFRUdYGHyQyMzO1fv169evXTw0bNlRmZqbGjRun4cOHq1GjRlaHFxTGjx+vkSNHqmfPnurVq5defPFFnT59WnfddZfVoQWlhx56SEOGDFGLFi108OBBPfnkkwoPD9ftt99udWhBIz8/36XGf9++fcrKylLjxo3VvHlzPfjgg3rmmWd0ySWXqFWrVnriiSeUnJzsuOkDyZJpwRQE06ywsLCwsLCEwtKoUSMrfqphsJEjR7r9+65cudJRZv/+/fZBgwbZ69ata4+Pj7dPmDDBXlRUZF3QQWbTpk321NRUe2xsrD06Otp+6aWX2p977jn72bNnrQ4tqLzyyiv25s2b2yMjI+29evWyr1u3zuqQgtatt95qb9asmT0yMtJ+wQUX2G+99Vb77t27rQ4rqKxcudLtd9fIkSPtdvu5qcGeeOIJe2Jioj0qKsrev39/+86dO60NOsjY7Ha7XQAAAAAAwFCWj1IOAAAAAEBNRMINAAAAAIAJSLgBAAAAADABCTcAAAAAACYg4QYAAAAAwAQk3AAAAAAAmICEGwAAAAAAE5BwAwAAAABgAhJuAAAAAABMQMINAAAAAIAJSLgBAAAAADDB/wM2g3GVROj6DQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, df in enumerate(dfs):\n",
    "    y =  dfs[i]['returns']\n",
    "    f = plt.figure(figsize=(12,4))\n",
    "    ax = f.add_subplot(121)\n",
    "    ax2 = f.add_subplot(122)\n",
    "    ax.plot(y)\n",
    "    ax2.hist(y)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23dc6568",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "the data seems to be distributed around a mean of 0 which could mean it is stationary. The p-value will confirm it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "014426ae",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 4.65089287  6.81743214 11.42382739 18.77895837 17.29391308 24.55688331\n",
      " 28.22148333 31.34281658 45.4204418  51.13039999]\n",
      "[ 1.61354091  2.20370937  1.99643786 14.06341094  3.15312112 17.14661286\n",
      "  8.5963908  23.53547735 27.31237868 71.78572087]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\killi\\Documents\\Projects\\Financial-Forecasting-with-Timeseries\\env_name\\lib\\site-packages\\numpy\\core\\fromnumeric.py:59: FutureWarning: 'Series.swapaxes' is deprecated and will be removed in a future version. Please use 'Series.transpose' instead.\n",
      "  return bound(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "#spliting the data into 5 chunks\n",
    "y = dfs[0]['returns'][:3000]\n",
    "chunks = np.split(dfs[0]['close'][:3000], indices_or_sections=10)\n",
    "print(np.mean(chunks, axis=1))\n",
    "print(np.var(chunks, axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "f696ad2d",
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "adf, pvalue, usedlag, nobs, critical_values, icbest = adfuller(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "34b09a0b",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0684229735312661e-29\n"
     ]
    }
   ],
   "source": [
    "print(pvalue)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "480563a4",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Conclusion:\n",
    "\n",
    "P_value < 0.05, so we reject the null hypothesis, meaning the dataset is stationary if we work with stock returns."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef5cd100",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Analyzing the correlogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "de84fac9",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Autocorrelation\n",
    "acf_plot = plot_acf(y, lags=10, title='ACF')\n",
    "#Partial Auto-correlation\n",
    "pacf_plot = plot_pacf(y, lags=10, title='PACF')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "b2283428",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VV19VeHi4nnvuubPuMysrSxUVFa5p165dTVgxAABobjwacNq3by9/f3+Vlpa6zS8tLZXNZjujPlq0aKF+/fpp+/btkuRarzF9Wq1WhYSEuE0AAMBcHg04gYGB6t+/vwoKClzz6urqVFBQoKSkpDPqo7a2Vp999pmioqIkSbGxsbLZbG59OhwOFRUVnXGfAADAbAGe3kBmZqZGjRql+Ph4JSQkaMGCBaqqqlJGRoYkaeTIkbr44ouVnZ0tSZo1a5auvPJKdenSReXl5XryySf1ww8/6K677pL08xNWEydO1GOPPaauXbsqNjZW06ZNU3R0tIYNG+bp4QAAAB/g8YAzYsQI7d+/X9OnT5fdblffvn2Vl5fnukl4586d8vP75UTSjz/+qLFjx8put6tNmzbq37+/PvroI8XFxbnaPPzww6qqqtK4ceNUXl6ugQMHKi8vr94LAQEAwIXJ4nQ6nd4u4nxzOBwKDQ1VRUVFk96Pc6TmuOKmvytJ+nJWioIDPZ4fAQC4YDTm+N3snqICAAA4VwQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADDOeQk4ixYtUseOHRUUFKTExERt3LjxpG2ff/55/fa3v1WbNm3Upk0bJScn12s/evRoWSwWtyk1NdXTwwAAAD7C4wFn9erVyszM1IwZM7R582b16dNHKSkpKisra7D9+vXrddttt+n9999XYWGhYmJiNHjwYO3Zs8etXWpqqvbt2+eaXn75ZU8PBQAA+AiPB5z58+dr7NixysjIUFxcnHJychQcHKylS5c22D43N1f33nuv+vbtq+7du+uFF15QXV2dCgoK3NpZrVbZbDbX1KZNG08PBQAA+AiPBpyamhoVFxcrOTn5lw36+Sk5OVmFhYVn1MeRI0d07NgxtW3b1m3++vXrFRERoW7duumee+7RwYMHT9pHdXW1HA6H2wQAAMzl0YBz4MAB1dbWKjIy0m1+ZGSk7Hb7GfUxZcoURUdHu4Wk1NRUrVixQgUFBZo7d642bNigG264QbW1tQ32kZ2drdDQUNcUExNz9oMCAADNXoC3CziVJ554QqtWrdL69esVFBTkmp+Wlub6e69evdS7d2917txZ69ev16BBg+r1k5WVpczMTNdnh8NByAEAwGAePYPTvn17+fv7q7S01G1+aWmpbDbbKdd96qmn9MQTT+i9995T7969T9m2U6dOat++vbZv397gcqvVqpCQELcJAACYy6MBJzAwUP3793e7QfjEDcNJSUknXW/evHmaPXu28vLyFB8ff9rt7N69WwcPHlRUVFST1A0AAHybx5+iyszM1PPPP6/ly5dr69atuueee1RVVaWMjAxJ0siRI5WVleVqP3fuXE2bNk1Lly5Vx44dZbfbZbfbVVlZKUmqrKzU5MmT9fHHH+v7779XQUGBbr75ZnXp0kUpKSmeHg4AAPABHr8HZ8SIEdq/f7+mT58uu92uvn37Ki8vz3Xj8c6dO+Xn90vOevbZZ1VTU6Nbb73VrZ8ZM2boL3/5i/z9/bVlyxYtX75c5eXlio6O1uDBgzV79mxZrVZPDwcAAPgAi9PpdHq7iPPN4XAoNDRUFRUVTXo/zpGa44qb/q4k6ctZKQoObNb3cAMA4FMac/zmt6gAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxArxdAM5M4bcHvV0CAABnLKlzO69unzM4AADAOAQcAABgHC5RAU1kX8VPWr9tv/ZXViv8Iquu7RauqNCW3i4LAC5IBBygCazfVqbF//c7WSQ5JVkkvbllr/50dSddc1mEl6urjzAGwHQEHDR7zf1gvK/iJy3+v9/J6fw53Ei//PncB9+pW2SIbKFB3iqvHl8LYwA8o7l/t54rAg6aNV84GK/ftt9V3/9mkfT+tjLdltDhPFfVMF8LY5L5X8Lewn69sPnCd+u5IuCg2fKVg/H+yuoGw430c737K6vPZzmn5EthTLowvoS9gf3qOb4QHH3lu/VcEXDQbPnKwTj8Iusp6wy/yHqeKzo5XwpjvvglzMHtwuYrwdFXvlvPFQEHzZavHIyv7RauN7fsbXCZU9J13ZrPF5svhTFf+xLm4OY5BMem5SvfreeK9+Cg2TpxMG5IczoYR4W21J+u7iTLr4r1s0gWi/Snqzs1my816ecwdqovtuYUxnzpS/jXB7c6p9z+fO6D72SvOOrtEl18ab9KPwfHSWs+1Vtb9urj7w7qrS17NWnNp9rwdZm3S3NzIjg25ERwbC585bv1XJ2XgLNo0SJ17NhRQUFBSkxM1MaNG0/Zfs2aNerevbuCgoLUq1cvvfPOO27LnU6npk+frqioKLVs2VLJycn65ptvPDkEeIEvHYyvuSxC2b/v5fqc2tOm+cP7Nqv/c5d8K4z50pcwBzfPIDh6hi99t54Lj1+iWr16tTIzM5WTk6PExEQtWLBAKSkp2rZtmyIi6u/Ejz76SLfddpuys7N10003aeXKlRo2bJg2b96snj17SpLmzZunhQsXavny5YqNjdW0adOUkpKiL7/8UkFBZ/4FfaTmuAJqjjfZWI/8qq8jTdivJB09Vtuk/fmCNsGBunNArJb+a4frH6Of5ed/gHcOiFVYcItmtV/CWrZw/f13vaNlbeHfrOo7ITG2naJDgzT9jS8lSf/RI1LXdY9QZEhQs6o3qXO7U176G9C5XbOpt9Rx9JQHjFLH0WZTqy/t139uLT3l5bT8rXYN7x9znqtqWJvgFqestU0z+r46X9+tTX0cbGyfFqfTebJ/l00iMTFRV1xxhZ555hlJUl1dnWJiYnTfffdp6tSp9dqPGDFCVVVVeuutt1zzrrzySvXt21c5OTlyOp2Kjo7WpEmT9NBDD0mSKioqFBkZqWXLliktLa1en9XV1aqu/iU9OxwOxcTEKGbi3+VnDW7qIQMAAA+oqz6iXQv+qIqKCoWEhJyyrUcvUdXU1Ki4uFjJycm/bNDPT8nJySosLGxwncLCQrf2kpSSkuJqv2PHDtntdrc2oaGhSkxMPGmf2dnZCg0NdU0xMc0j8QMAAM/w6CWqAwcOqLa2VpGRkW7zIyMj9dVXXzW4jt1ub7C93W53LT8x72Rt/resrCxlZma6Pp84g7Px0UGnTYDNRdF3h5q0v+pjtbo7d7MkKSf9cllb+Ddp/8CF5sNvDmjpRzvcnqI6ccp/YNf23i3OR9kdR/XI2s/U0HUGi0XK/n0vRYY0n/vGpJ8vR37wzX4drKxRu4sCdXXX8GZX4/mS2Kltk/fpcDgUteDM2l4Qj4lbrVZZrfVvnAsODFBwoG/sgiAPBhBrC3+P9g9cCJLjItXz4lC9v63M9Tjzdd0imtWN276mY7tW+tPVnfTcB9/VC45/urqTLm3XyrsFNuDSdq10RzOsyxs8cXw93og+PXp0b9++vfz9/VVaWuo2v7S0VDabrcF1bDbbKduf+LO0tFRRUVFubfr27duE1QNA49hCg5rdO2R83TWXRahbZAjBEY3m0XtwAgMD1b9/fxUUFLjm1dXVqaCgQElJSQ2uk5SU5NZekvLz813tY2NjZbPZ3No4HA4VFRWdtE/UZ3f88njlmuJd2lfxkxerAYCTOxEc77++q25L6EC4wRnx+PWZzMxMjRo1SvHx8UpISNCCBQtUVVWljIwMSdLIkSN18cUXKzs7W5L0wAMP6JprrtFf//pXDRkyRKtWrdInn3yixYsXS5IsFosmTpyoxx57TF27dnU9Jh4dHa1hw4Z5ejhGOPHG1RPyPrfrH5/bm90bVwEAOFseDzgjRozQ/v37NX36dNntdvXt21d5eXmum4R37twpP79fTiQNGDBAK1eu1J///Gc98sgj6tq1q1577TXXO3Ak6eGHH1ZVVZXGjRun8vJyDRw4UHl5eY16B86F6tcvzjqh7v//vbm9ThwAgLPl8ffgNEcOh0OhoaFn9Bx9c1H47cEm6efljTv11pa9rlDza34W6abe0dxDAAA4Z0md2zV5n405fvNbVBcYX3qdOAAAZ4uAc4Hxpd+hAQDgbBFwLjAXyo+sAQAubAScC8yvf036xK9IN9dfkwYA4Gz5xmt80aR4cRYAwHQEnAsUb1wFAJiMS1QAAMA4nMHxEZ54nwAAAKbiDA4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIzj0YBz6NAhpaenKyQkRGFhYRozZowqKytP2f6+++5Tt27d1LJlS3Xo0EH333+/Kioq3NpZLJZ606pVqzw5FAAA4EMCPNl5enq69u3bp/z8fB07dkwZGRkaN26cVq5c2WD7vXv3au/evXrqqacUFxenH374QXfffbf27t2rV155xa3tiy++qNTUVNfnsLAwTw4FAAD4EIvT6XR6ouOtW7cqLi5OmzZtUnx8vCQpLy9PN954o3bv3q3o6Ogz6mfNmjW6/fbbVVVVpYCAn/OYxWLR2rVrNWzYsLOqzeFwKDQ0VBUVFQoJCTmrPgAAwPnVmOO3xy5RFRYWKiwszBVuJCk5OVl+fn4qKio6435ODOJEuDlh/Pjxat++vRISErR06VKdKqdVV1fL4XC4TQAAwFweu0Rlt9sVERHhvrGAALVt21Z2u/2M+jhw4IBmz56tcePGuc2fNWuWrr/+egUHB+u9997Tvffeq8rKSt1///0N9pOdna2ZM2ee3UAAAIDPafQZnKlTpzZ4k++vp6+++uqcC3M4HBoyZIji4uL0l7/8xW3ZtGnTdNVVV6lfv36aMmWKHn74YT355JMn7SsrK0sVFRWuadeuXedcHwAAaL4afQZn0qRJGj169CnbdOrUSTabTWVlZW7zjx8/rkOHDslms51y/cOHDys1NVWtW7fW2rVr1aJFi1O2T0xM1OzZs1VdXS2r1VpvudVqbXA+AAAwU6MDTnh4uMLDw0/bLikpSeXl5SouLlb//v0lSevWrVNdXZ0SExNPup7D4VBKSoqsVqveeOMNBQUFnXZbJSUlatOmDSEGAABI8uA9OD169FBqaqrGjh2rnJwcHTt2TBMmTFBaWprrCao9e/Zo0KBBWrFihRISEuRwODR48GAdOXJEL730ktsNweHh4fL399ebb76p0tJSXXnllQoKClJ+fr4ef/xxPfTQQ54aCgAA8DEefQ9Obm6uJkyYoEGDBsnPz0+33HKLFi5c6Fp+7Ngxbdu2TUeOHJEkbd682fWEVZcuXdz62rFjhzp27KgWLVpo0aJFevDBB+V0OtWlSxfNnz9fY8eO9eRQAACAD/HYe3CaM96DAwCA72kW78EBAADwFgIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABjHowHn0KFDSk9PV0hIiMLCwjRmzBhVVlaecp1rr71WFovFbbr77rvd2uzcuVNDhgxRcHCwIiIiNHnyZB0/ftyTQwEAAD4kwJOdp6ena9++fcrPz9exY8eUkZGhcePGaeXKladcb+zYsZo1a5brc3BwsOvvtbW1GjJkiGw2mz766CPt27dPI0eOVIsWLfT44497bCwAAMB3WJxOp9MTHW/dulVxcXHatGmT4uPjJUl5eXm68cYbtXv3bkVHRze43rXXXqu+fftqwYIFDS7/xz/+oZtuukl79+5VZGSkJCknJ0dTpkzR/v37FRgYeNraHA6HQkNDVVFRoZCQkLMbIAAAOK8ac/z22CWqwsJChYWFucKNJCUnJ8vPz09FRUWnXDc3N1ft27dXz549lZWVpSNHjrj126tXL1e4kaSUlBQ5HA598cUXDfZXXV0th8PhNgEAAHN57BKV3W5XRESE+8YCAtS2bVvZ7faTrvef//mfuvTSSxUdHa0tW7ZoypQp2rZtm1599VVXv78ON5Jcn0/Wb3Z2tmbOnHkuwwEAAD6k0QFn6tSpmjt37inbbN269awLGjdunOvvvXr1UlRUlAYNGqRvv/1WnTt3Pqs+s7KylJmZ6frscDgUExNz1jUCAIDmrdEBZ9KkSRo9evQp23Tq1Ek2m01lZWVu848fP65Dhw7JZrOd8fYSExMlSdu3b1fnzp1ls9m0ceNGtzalpaWSdNJ+rVarrFbrGW8TAAD4tkYHnPDwcIWHh5+2XVJSksrLy1VcXKz+/ftLktatW6e6ujpXaDkTJSUlkqSoqChXv3PmzFFZWZnrElh+fr5CQkIUFxfXyNEAAAATeewm4x49eig1NVVjx47Vxo0b9a9//UsTJkxQWlqa6wmqPXv2qHv37q4zMt9++61mz56t4uJiff/993rjjTc0cuRIXX311erdu7ckafDgwYqLi9Mdd9yhTz/9VO+++67+/Oc/a/z48ZylAQAAkjz8or/c3Fx1795dgwYN0o033qiBAwdq8eLFruXHjh3Ttm3bXE9JBQYG6p///KcGDx6s7t27a9KkSbrlllv05ptvutbx9/fXW2+9JX9/fyUlJen222/XyJEj3d6bAwAALmweew9Oc8Z7cAAA8D3N4j04AAAA3kLAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjeDTgHDp0SOnp6QoJCVFYWJjGjBmjysrKk7b//vvvZbFYGpzWrFnjatfQ8lWrVnlyKAAAwIcEeLLz9PR07du3T/n5+Tp27JgyMjI0btw4rVy5ssH2MTEx2rdvn9u8xYsX68knn9QNN9zgNv/FF19Uamqq63NYWFiT1w8AAHyTxwLO1q1blZeXp02bNik+Pl6S9PTTT+vGG2/UU089pejo6Hrr+Pv7y2azuc1bu3at/vjHP+qiiy5ymx8WFlavLQAAgOTBS1SFhYUKCwtzhRtJSk5Olp+fn4qKis6oj+LiYpWUlGjMmDH1lo0fP17t27dXQkKCli5dKqfTedJ+qqur5XA43CYAAGAuj53BsdvtioiIcN9YQIDatm0ru91+Rn0sWbJEPXr00IABA9zmz5o1S9dff72Cg4P13nvv6d5771VlZaXuv//+BvvJzs7WzJkzz24gAADA5zT6DM7UqVNPeiPwiemrr74658J++uknrVy5ssGzN9OmTdNVV12lfv36acqUKXr44Yf15JNPnrSvrKwsVVRUuKZdu3adc30AAKD5avQZnEmTJmn06NGnbNOpUyfZbDaVlZW5zT9+/LgOHTp0RvfOvPLKKzpy5IhGjhx52raJiYmaPXu2qqurZbVa6y23Wq0NzgcAAGZqdMAJDw9XeHj4adslJSWpvLxcxcXF6t+/vyRp3bp1qqurU2Ji4mnXX7JkiX73u9+d0bZKSkrUpk0bQgwAAJDkwXtwevToodTUVI0dO1Y5OTk6duyYJkyYoLS0NNcTVHv27NGgQYO0YsUKJSQkuNbdvn27PvjgA73zzjv1+n3zzTdVWlqqK6+8UkFBQcrPz9fjjz+uhx56yFNDAQAAPsaj78HJzc3VhAkTNGjQIPn5+emWW27RwoULXcuPHTumbdu26ciRI27rLV26VJdccokGDx5cr88WLVpo0aJFevDBB+V0OtWlSxfNnz9fY8eO9eRQAACAD7E4T/V8taEcDodCQ0NVUVGhkJAQb5cDAADOQGOO3/wWFQAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBxCDgAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwAEAAMYh4AAAAOMQcAAAgHEIOAAAwDgEHAAAYBwCDgAAMA4BBwAAGIeAAwAAjEPAAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACM47GAM2fOHA0YMEDBwcEKCws7o3WcTqemT5+uqKgotWzZUsnJyfrmm2/c2hw6dEjp6ekKCQlRWFiYxowZo8rKSg+MAAAA+CqPBZyamhoNHz5c99xzzxmvM2/ePC1cuFA5OTkqKipSq1atlJKSoqNHj7rapKen64svvlB+fr7eeustffDBBxo3bpwnhgAAAHyUxel0Oj25gWXLlmnixIkqLy8/ZTun06no6GhNmjRJDz30kCSpoqJCkZGRWrZsmdLS0rR161bFxcVp06ZNio+PlyTl5eXpxhtv1O7duxUdHX1GNTkcDoWGhqqiokIhISHnND4AAHB+NOb4HXCeajqtHTt2yG63Kzk52TUvNDRUiYmJKiwsVFpamgoLCxUWFuYKN5KUnJwsPz8/FRUV6fe//32DfVdXV6u6utr1uaKiQtLPOwoAAPiGE8ftMzk302wCjt1ulyRFRka6zY+MjHQts9vtioiIcFseEBCgtm3buto0JDs7WzNnzqw3PyYm5lzLBgAA59nhw4cVGhp6yjaNCjhTp07V3LlzT9lm69at6t69e2O69bisrCxlZma6PtfV1enQoUNq166dLBZLk27L4XAoJiZGu3bt4vJXE2K/Nj32qWewXz2D/eoZvrZfnU6nDh8+fEa3pDQq4EyaNEmjR48+ZZtOnTo1pksXm80mSSotLVVUVJRrfmlpqfr27etqU1ZW5rbe8ePHdejQIdf6DbFarbJarW7zzvTJrrMVEhLiE/+x+Br2a9Njn3oG+9Uz2K+e4Uv79XRnbk5oVMAJDw9XeHj4WRV0OrGxsbLZbCooKHAFGofDoaKiIteTWElJSSovL1dxcbH69+8vSVq3bp3q6uqUmJjokboAAIDv8dhj4jt37lRJSYl27typ2tpalZSUqKSkxO2dNd27d9fatWslSRaLRRMnTtRjjz2mN954Q5999plGjhyp6OhoDRs2TJLUo0cPpaamauzYsdq4caP+9a9/acKECUpLSzvjJ6gAAID5PHaT8fTp07V8+XLX5379+kmS3n//fV177bWSpG3btrmeaJKkhx9+WFVVVRo3bpzKy8s1cOBA5eXlKSgoyNUmNzdXEyZM0KBBg+Tn56dbbrlFCxcu9NQwGs1qtWrGjBn1Lonh3LBfmx771DPYr57BfvUMk/erx9+DAwAAcL7xW1QAAMA4BBwAAGAcAg4AADAOAQcAABiHgAMAAIxDwGlCixYtUseOHRUUFKTExERt3LjR2yX5tOzsbF1xxRVq3bq1IiIiNGzYMG3bts3bZRnniSeecL2HCudmz549uv3229WuXTu1bNlSvXr10ieffOLtsnxabW2tpk2bptjYWLVs2VKdO3fW7Nmzz+jHFvGLDz74QEOHDlV0dLQsFotee+01t+VOp1PTp09XVFSUWrZsqeTkZH3zzTfeKbaJEHCayOrVq5WZmakZM2Zo8+bN6tOnj1JSUur9tATO3IYNGzR+/Hh9/PHHys/P17FjxzR48GBVVVV5uzRjbNq0Sc8995x69+7t7VJ83o8//qirrrpKLVq00D/+8Q99+eWX+utf/6o2bdp4uzSfNnfuXD377LN65plntHXrVs2dO1fz5s3T008/7e3SfEpVVZX69OmjRYsWNbh83rx5WrhwoXJyclRUVKRWrVopJSVFR48ePc+VNiEnmkRCQoJz/Pjxrs+1tbXO6OhoZ3Z2therMktZWZlTknPDhg3eLsUIhw8fdnbt2tWZn5/vvOaaa5wPPPCAt0vyaVOmTHEOHDjQ22UYZ8iQIc4777zTbd4f/vAHZ3p6upcq8n2SnGvXrnV9rqurc9psNueTTz7pmldeXu60Wq3Ol19+2QsVNg3O4DSBmpoaFRcXKzk52TXPz89PycnJKiws9GJlZjnx1uu2bdt6uRIzjB8/XkOGDHH77xZn74033lB8fLyGDx+uiIgI9evXT88//7y3y/J5AwYMUEFBgb7++mtJ0qeffqoPP/xQN9xwg5crM8eOHTtkt9vdvgtCQ0OVmJjo08cwj/1Uw4XkwIEDqq2tVWRkpNv8yMhIffXVV16qyix1dXWaOHGirrrqKvXs2dPb5fi8VatWafPmzdq0aZO3SzHGd999p2effVaZmZl65JFHtGnTJt1///0KDAzUqFGjvF2ez5o6daocDoe6d+8uf39/1dbWas6cOUpPT/d2acaw2+2S1OAx7MQyX0TAgU8YP368Pv/8c3344YfeLsXn7dq1Sw888IDy8/PdfucN56aurk7x8fF6/PHHJf38+3uff/65cnJyCDjn4O9//7tyc3O1cuVK/eY3v1FJSYkmTpyo6Oho9itOiUtUTaB9+/by9/dXaWmp2/zS0lLZbDYvVWWOCRMm6K233tL777+vSy65xNvl+Lzi4mKVlZXp8ssvV0BAgAICArRhwwYtXLhQAQEBqq2t9XaJPikqKkpxcXFu83r06KGdO3d6qSIzTJ48WVOnTlVaWpp69eqlO+64Qw8++KCys7O9XZoxThynTDuGEXCaQGBgoPr376+CggLXvLq6OhUUFCgpKcmLlfk2p9OpCRMmaO3atVq3bp1iY2O9XZIRBg0apM8++0wlJSWuKT4+Xunp6SopKZG/v7+3S/RJV111Vb3XGHz99de69NJLvVSRGY4cOSI/P/dDlb+/v+rq6rxUkXliY2Nls9ncjmEOh0NFRUU+fQzjElUTyczM1KhRoxQfH6+EhAQtWLBAVVVVysjI8HZpPmv8+PFauXKlXn/9dbVu3dp1LTg0NFQtW7b0cnW+q3Xr1vXuY2rVqpXatWvH/U3n4MEHH9SAAQP0+OOP649//KM2btyoxYsXa/Hixd4uzacNHTpUc+bMUYcOHfSb3/xG//73vzV//nzdeeed3i7Np1RWVmr79u2uzzt27FBJSYnatm2rDh06aOLEiXrsscfUtWtXxcbGatq0aYqOjtawYcO8V/S58vZjXCZ5+umnnR06dHAGBgY6ExISnB9//LG3S/JpkhqcXnzxRW+XZhweE28ab775prNnz55Oq9Xq7N69u3Px4sXeLsnnORwO5wMPPODs0KGDMygoyNmpUyfno48+6qyurvZ2aT7l/fffb/D7dNSoUU6n8+dHxadNm+aMjIx0Wq1W56BBg5zbtm3zbtHnyOJ08jpIAABgFu7BAQAAxiHgAAAA4xBwAACAcQg4AADAOAQcAABgHAIOAAAwDgEHAAAYh4ADAACMQ8ABAADGIeAAAADjEHAAAIBx/h9cSZDZrvHrKgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = dfs[1]['returns'][:630]\n",
    "#Autocorrelation\n",
    "plot_acf(y, lags=10, title='ACF')\n",
    "#Partial Auto-correlation\n",
    "plot_pacf(y, lags=10, title='PACF')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "a2fabee7",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = dfs[2]['returns'][:140]\n",
    "#Autocorrelation\n",
    "plot_acf(y, lags=10, title='ACF')\n",
    "#Partial Auto-correlation\n",
    "acf_plot = plot_pacf(y, lags=10, title='PACF')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b6b34f4",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "Firstly, we notice than smoothing the signal by taking a weekly or monthly timescale does not help in improving the correlograms. Then we notice that the ACF and the PACF cut off at lag 1. We also notice that on lag 4, we have a strong signal on the PACF (representing the AR part of an ARMA model) which could be due to the fact that the stock market is open 5 days a week. The first order differencing seems to have made the data stationary."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ae4569d",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Finding the AR term (p)\n",
    "\n",
    "The next step is to identify if the model needs any AR terms. You can find out the required number of AR terms by inspecting the Partial Autocorrelation (PACF) plot. The PACF plot has a significant spike at lag 1 and 4, meaning that all the higher-order autocorrelations are effectively explained by these lags. We will be conservative and take a p = 1 to start with and then compute again with a p = 4."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "51f50599",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Finding the MA term (q)\n",
    "\n",
    "To find this parameter, we can simply take a look at the ACF for the number of MA terms. The ACF tells how many MA terms are required to remove any autocorrelation in the stationarized series. The ACF cuts off at lag 1 and 4, so we will take q = 1 and then q = 4."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5284016c",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Building the ARIMA models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "da32d5fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Function that calls ARIMA model to fit and forecast the data\n",
    "def StartARIMAForecasting(Actual, P, D, Q):\n",
    "    model = ARIMA(Actual, order=(P, D, Q))\n",
    "    model_fit = model.fit()\n",
    "    prediction = model_fit.forecast()\n",
    "    print('Model parameters = %s' % (list(model_fit.params)))\n",
    "    print(model_fit.summary())\n",
    "    return prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69963230",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### ARIMA (1,1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9f13c6b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = dfs[0]['close'][:3000]\n",
    "nb_elements = len(y)\n",
    "#Use 70% of data as training, rest 30% to Test model\n",
    "TrainingSize = int(nb_elements * 0.7)\n",
    "TrainingData = y[0:TrainingSize]\n",
    "TestData = y[TrainingSize:nb_elements]\n",
    "\n",
    "#new arrays to store actual and predictions\n",
    "Actual = [x for x in TrainingData]\n",
    "Test = [x for x in TestData]\n",
    "Predictions = list()\n",
    "\n",
    "#in a for loop, predict values using ARIMA model\n",
    "for timepoint in range(len(Test)):\n",
    "    ActualValue =  Test[timepoint]\n",
    "    #forcast value\n",
    "    Prediction = StartARIMAForecasting(Actual, 1,1,1)\n",
    "    print('Actual=%f, Predicted=%f' % (ActualValue, Prediction))\n",
    "    print('')\n",
    "    #add it in the list\n",
    "    Predictions.append(Prediction)\n",
    "    print(Prediction)\n",
    "    Actual.append(ActualValue)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "60bfd8db",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.45218318813729164\n",
      "0.45474672848268216\n",
      "Test Mean Absolute percentage error: 0.010\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3500x2000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Print MSE to see how good the model is\n",
    "from sklearn.metrics import mean_squared_error, mean_absolute_error\n",
    "\n",
    "print(mean_squared_error(Test,Predictions))\n",
    "print(mean_absolute_error(Test,Predictions))\n",
    "Error = mean_absolute_percentage_error(Test, Predictions)\n",
    "print('Test Mean Absolute percentage error: %.3f' % Error)\n",
    "# plot\n",
    "#pyplot.plot(y)\n",
    "pyplot.figure(figsize=(35,20))\n",
    "pyplot.plot(Test, color='blue')\n",
    "pyplot.plot(Predictions, color='red')\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be4d806a",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### ARIMA (4,1,4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2dd49b78",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "is_executing": true
    }
   },
   "outputs": [],
   "source": [
    "y = dfs[0]['close'][:3000]\n",
    "nb_elements = len(y)\n",
    "#Use 70% of data as training, rest 30% to Test model\n",
    "TrainingSize = int(nb_elements * 0.7)\n",
    "TrainingData = y[0:TrainingSize]\n",
    "TestData = y[TrainingSize:nb_elements]\n",
    "\n",
    "#new arrays to store actual and predictions\n",
    "Actual = [x for x in TrainingData]\n",
    "Test = [x for x in TestData]\n",
    "Predictions = list()\n",
    "\n",
    "#in a for loop, predict values using ARIMA model\n",
    "for timepoint in range(len(Test)):\n",
    "    ActualValue =  Test[timepoint]\n",
    "    #forcast value\n",
    "    Prediction = StartARIMAForecasting(Actual, 4,1,4)\n",
    "    print('Actual=%f, Predicted=%f' % (ActualValue, Prediction))\n",
    "    print('')\n",
    "    #add it in the list\n",
    "    Predictions.append(Prediction)\n",
    "    print(Prediction)\n",
    "    Actual.append(ActualValue),"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "851d502c",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4529222871976794\n",
      "0.45707155949428463\n",
      "Test Mean Absolute percentage error : 0.010\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Print MSE to see how good the model is\n",
    "Error = mean_absolute_percentage_error(Test, Predictions)\n",
    "from sklearn.metrics import mean_squared_error, mean_absolute_error\n",
    "print(mean_squared_error(Test,Predictions))\n",
    "print(mean_absolute_error(Test,Predictions))\n",
    "print('Test Mean Absolute percentage error : %.3f' % Error)\n",
    "# plot\n",
    "#pyplot.plot(y)\n",
    "pyplot.plot(Test, color='blue')\n",
    "pyplot.plot(Predictions, color='red')\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5db1d1b5",
   "metadata": {},
   "source": [
    "#### Observation:\n",
    "\n",
    "The ARIMA (1,1,1) found previously seems to produce good predictive results with no lag in the signal. All coefficients are over the significance threshold and the MSE is very low. As for the ARIMA(4,1,4), the results are quite similar but the computing cost is much higher."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17f65c33",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Conclusion:\n",
    "\n",
    "So, we seem to have a decent ARIMA model. But is that the best? We need to dig further to draw relevant conclusions that is to predict the future. In the next section, a bot will be trained to take decisions based on the ARIMA's (1,1,1) predicted return values, to buy or sell stock shares with hope to make a profit ! we will also try a simpler model AR(1)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18f25e4e",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Auto ARIMA forecast Python function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "e0da4c27",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,0)[0] intercept   : AIC=3665.185, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[0] intercept   : AIC=3663.899, Time=0.11 sec\n",
      " ARIMA(1,1,0)(0,0,0)[0] intercept   : AIC=3665.509, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,0)[0] intercept   : AIC=3665.467, Time=0.12 sec\n",
      " ARIMA(0,1,0)(0,0,0)[0]             : AIC=3669.806, Time=0.05 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,0)(0,0,0)[0] intercept\n",
      "Total fit time: 0.829 seconds\n",
      "                               SARIMAX Results                                \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   No. Observations:                 3000\n",
      "Model:               SARIMAX(0, 1, 0)   Log Likelihood               -1829.949\n",
      "Date:                Sat, 19 Oct 2024   AIC                           3663.899\n",
      "Time:                        13:47:56   BIC                           3675.911\n",
      "Sample:                             0   HQIC                          3668.220\n",
      "                               - 3000                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "intercept      0.0229      0.008      2.787      0.005       0.007       0.039\n",
      "sigma2         0.1984      0.002     94.010      0.000       0.194       0.203\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                   0.39   Jarque-Bera (JB):             12643.82\n",
      "Prob(Q):                              0.53   Prob(JB):                         0.00\n",
      "Heteroskedasticity (H):              15.92   Skew:                            -0.48\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                        13.01\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "y = dfs[0]['close'][:3000]\n",
    "\n",
    "model = auto_arima(y, start_p=1, start_q=1,\n",
    "                      test='adf',       # use adftest to find optimal 'd'\n",
    "                      max_p=4, max_q=4, # maximum p and q\n",
    "                      m=1,              # frequency of series\n",
    "                      d=1,              # let model determine 'd'\n",
    "                      seasonal=False,   # No Seasonality\n",
    "                      start_P=0,\n",
    "                      D=0,\n",
    "                      trace=True,\n",
    "                      error_action='ignore',\n",
    "                      suppress_warnings=True,\n",
    "                      stepwise=True)\n",
    "\n",
    "print(model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "039c781b",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "The AIC scores are very close from one model to another though the function did not exceed an order of 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "9f8c8784",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot_diagnostics(figsize=(7,5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c43369",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "The correlogram of residuals is flat which is ideal meaning that the residual erros are not autocorrelated (residuals in a time serie is what is left over after fitting a model). The density plot suggest normal distribution with mean zero. Overall, this model seems like a good fit. Let's move on to the next step, setting up the stock bot and comparing its financial performance based on different ARIMA / AR models.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b1a34cb",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Setting up the bot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "5c2feb67",
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def run_simulation(returns, prices, amt, order, n, m, thresh, verbose=False, plot=True):\n",
    "    if type(order) == float:\n",
    "        thresh = None\n",
    "    curr_holding = False\n",
    "    events_list = []\n",
    "    predictions = []\n",
    "    init_amt = amt\n",
    "\n",
    "    #go through dates\n",
    "    for date, r in tqdm (returns.iloc[3000:].items(), total=len(returns.iloc[3000:])):\n",
    "        #if you're currently holding the stock, sell it\n",
    "        if curr_holding:\n",
    "            sell_price = prices.loc[date]\n",
    "            curr_holding=False\n",
    "            ret = (sell_price-buy_price)/buy_price\n",
    "            amt *= (1+ret)\n",
    "            events_list.append(('s', date, ret))\n",
    "\n",
    "            if verbose:\n",
    "                print('Sold at $%s'%sell_price)\n",
    "                print('Predicted Return: %s'%round(pred,4))\n",
    "                print('Actual Return: %s'%(round(ret, 4)))\n",
    "                print('=======================================')\n",
    "            continue\n",
    "\n",
    "        #get data til just before current date\n",
    "        curr_data = prices[:date].to_numpy()\n",
    "        curr_data = [x for x in curr_data]\n",
    "        if type(order) == tuple:\n",
    "            try:\n",
    "                #fit model\n",
    "                model = ARIMA(curr_data, order=(n,1,m))\n",
    "                model_fit = model.fit()\n",
    "                #get forecast\n",
    "                pred = model_fit.forecast()\n",
    "                yhat = pred[0]\n",
    "                predictions.append(yhat)\n",
    "            except:\n",
    "                pred = thresh - 1\n",
    "                predictions.append(pred)\n",
    "        #if you predict a high enough return and not holding, buy stock\n",
    "        if (not curr_holding) and \\\n",
    "                ((type(order) == float and np.random.random() < order)\n",
    "                 or (type(order) == tuple and pred > thresh)\n",
    "                 or (order == 'last' and curr_data[-1] > 0)):\n",
    "\n",
    "            curr_holding = True\n",
    "            buy_price = prices.loc[date]\n",
    "            events_list.append(('b', date))\n",
    "            if verbose:\n",
    "                print('Bought at $%s'%buy_price)\n",
    "\n",
    "    if verbose:\n",
    "        print('Total Amount: $%s'%round(amt,2))\n",
    "\n",
    "    #graph\n",
    "    if plot:\n",
    "\n",
    "        plt.figure(figsize=(10,4))\n",
    "        plt.plot(prices[3000:])\n",
    "        plt.xticks(np.arange(0, len(prices[3000:]), step=10), rotation=30)\n",
    "\n",
    "        y_lims = (int(prices.min()*.95), int(prices.max()*1.05))\n",
    "        shaded_y_lims = int(prices.min()*.5), int(prices.max()*1.5)\n",
    "\n",
    "        for idx, event in enumerate(events_list):\n",
    "            plt.axvline(event[1], color='k', linestyle='--', alpha=0.4)\n",
    "            if event[0] == 's':\n",
    "                color = 'green' if event[2] > 0 else 'red'\n",
    "                plt.fill_betweenx(range(*shaded_y_lims),\n",
    "                                  event[1], events_list[idx-1][1], color=color, alpha=0.1)\n",
    "\n",
    "        tot_return = round(3000*(amt / init_amt - 1), 2)\n",
    "        tot_return = str(tot_return) + '%'\n",
    "        plt.title(\"%s Price Data\\nThresh=%s\\nTotal Amt: $%s\\nTotal Return: %s\"%(tickerSymbol, thresh, round(amt,2), tot_return), fontsize=20)\n",
    "        plt.ylim(*y_lims)\n",
    "        plt.show()\n",
    "\n",
    "    return amt\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35791bbe",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Model 1: Random buying\n",
    "\n",
    "The model will be computed several times and the average financial performance will be assessed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "b1f81ffe",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
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      "100%|██████████| 71/71 [00:00<00:00, 9447.23it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 12394.21it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 11424.24it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14195.61it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14061.55it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 12870.97it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14222.73it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 12892.70it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14192.23it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14076.84it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 13378.66it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 17721.71it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 15469.10it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 11344.59it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 15506.15it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14178.04it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 12829.38it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 12847.09it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 14125.59it/s]\n",
      "100%|██████████| 71/71 [00:00<00:00, 15721.44it/s]\n"
     ]
    }
   ],
   "source": [
    "final_avg_perf = [run_simulation(dfs[0]['returns'], dfs[0]['close'], 100, 0.5, None, 0, 0, verbose=False, plot=False) for _ in range(0,200)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "cb31a834",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Avg: $98.16\\nSD: $18.97')"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kuMd42Ww2brvttlrLR0SkPlF3OxGReu5Eq01ERESl/5I/cOBAoqOjSU5O5v333+ehhx46Zf+VV16Jn58fBQUFTJ061V1onKmr3QmzZs3ioosuwuFwMGLECKZPn87o0aOx2+2sX7+emTNnkpKSQs+ePdm8efMZC66aUFhYyB133MEzzzzD5MmTGTly5CnjbPbt28d3333HM888Q2FhIQB33313hecaM2YMERERXHnllfTs2RN/f3+SkpL4/vvvefvtt3E4HHh7e/PRRx+dcea+//u//2PkyJE4nU5uu+02Fi1axHXXXUdsbCx5eXksXbqUl156yd3KNnny5Aqn3a6MlJQUfvzxx9NeO+G3xdXgwYNp27btaed56aWXWLVqFdnZ2VxxxRU88MADXHbZZfj4+LB27VpmzpzJkSNHAHjqqafU3U5Emg7PLtMkIiJns2LFCvdCnnfddVeVYu+55x537Pr160/bP3HixFMWFO3Ro0elzjtnzhzDy8urwsVSrVar8dZbbxk333yzARgdO3as8ByzZ892xzz++ONVel8nJCcnG0FBQRUu2FrRa3//+9/PeK4uXbpU+H5OPOLi4oxFixadM6cPP/zQ8PPzO+u5AOOGG24wHA5Hhed4/PHH3cfNnj27wmN+/vnnc17j5MeZzmMYhrF8+XL3IsUVPUwmk/HII4+c872LiDQm6m4nIlKPnbzW0cljSCrj5OMrWjPpt61G52pFOuGWW25h/fr1TJw4kZiYGGw2G82bN+e6665jxYoV3HHHHeTm5gIQFBRUpZyrIioqiuTkZD755BMmT55Mjx49CAoKcrde2e12WrZsyU033cTKlSt58MEHz3iuf/zjH9xzzz306NGD8PBwvLy8iIqKYtiwYbzyyivs3LmTESNGnDOnG2+8kV27dvHoo48yYMAAQkJCsFqt+Pn50aFDB2655RYWL17MRx99hM1mq7GvxfkYPHgw27dv5/HHH6dHjx4EBgbi7e1Nq1atuO2229iwYQNPPfWUp9MUEalTJsM43tFdRESkhrRt25aEhARuuumms07yUBvmzJnDbbfdhn69iYhIdaklSUREatS6detISEgAcE9mICIi0pCoSBIRkSrZt2/fGfdlZmby+9//Hijv7nb99dfXVVoiIiI1RrPbiYhIlYwaNYpWrVpx9dVX0717d4KCgjh27Bi//PILr7/+OsnJyQA88sgjhIWFeThbERGRqtOYJBERqZKWLVty6NChsx5zzz338Oqrr2I2q8OCiIg0PCqSRESkSpYuXcq3337LsmXLSE5OJj09HavVSlRUFIMHD+bOO+9k4MCBnk5TRESk2lQkiYiIiIiInET9IERERERERE6iIklEREREROQkKpJEREREREROoiJJREQapGHDhnHrrbd6Og0REWmEVCSJiDQCBQUFvPnmm1x22WU0b94cb29v7HY74eHh9O3bl8mTJ/PWW29x+PDhCuNvvfVWTCbTaQ9vb28iIyPp0KEDV199Nc888wwbN26s43dXc/bt28dHH33EtGnTGDRoEL6+vu73OmfOnCqda9WqVUyePJkOHTrg7++P3W4nOjqa0aNH89Zbb1FSUlIjOefm5vLcc88xaNAgQkJCsNvtxMXFcc011/DDDz+cNfbgwYMVfl/P9mjZsmWN5C0i0pBpdjsRkQZu1apV3HDDDSQmJp7z2MjISFJSUk57/dZbb+Xdd9+t9DX79u3Lc889x/Dhw6uUa00aNmwYLVu2rHRxs3TpUoYNG3bG/bNnz65Uy5RhGNx///28+uqrZz2uS5cufP/998THx1cqv4qsWrWKCRMmuBforcikSZN45513sFgsp+07ePAgrVq1qtI1L7nkEubPn1/lXEVEGhOrpxMQEZHq27NnD6NHjyYvLw+AcePGcc0119C+fXtsNhsZGRls2bKFBQsW8PPPP1fqnPPnzycmJgYAl8tFdnY2qamprF69mq+++or9+/ezbt06Ro4cySOPPMITTzxRa++vIqWlpSQlJVFYWEhubi7p6emEhYVhMpnOGnfy3wTNZjOdOnXCz8+PtWvXVun6zz77rLtACggIYPr06QwaNAh/f392797NP//5T7Zt28b27du5/PLL2bRpE1Zr1X/d7t69mzFjxpCTk4PZbOaOO+7gmmuuITQ0lAMHDvDGG2+waNEi3nvvPfz9/Zk1a9Zp52jevDm//vrrOa81c+ZM5s6dC8Att9xS5VxFRBodQ0REGqxrrrnGAAzAmD179lmPTUtLM1577bUK991yyy3u8xw4cOCM53A6ncY777xj+Pr6uo+fNWvWebyDylu9erUxZswYw9vb233tEw+r1Wr07NnT+NOf/mQkJSVVGL9nzx7j+eefN5YsWWLk5eUZhmEYs2fPrvTXzzAMo6SkxAgODjYAw2azGZs2bTrtmNLSUqN///7u83722WfVer+XX375WXNzuVzGrbfeagCGyWQy1q5dW63rlJWVGTExMQZgBAQEGIWFhdU6j4hIY6IxSSIiDZTT6WTevHkA9OnT55xdxcLDw5kyZcp5XdNsNnPbbbcxf/58d+vI9OnTz9odrCZ89tlnDBo0iB9++IHi4mKAU1qOysrK2Lx5M//4xz/Yvn17hedo164df/rTn7jooovw9/evVh47d+4kOzsbgCuuuIKePXuedozVauWvf/2r+/mqVauqfJ309HS+//57AAYNGlTh99ZkMvHiiy/i5+eHYRg899xzVb4OwMKFC0lKSgLgmmuuwcfHp1rnERFpTFQkiYg0UOnp6RQVFQHQtm3bOr324MGDmTZtGgAOh4MXX3yx1q6VnZ3NnXfeidPpxNfXl2eeeYYDBw4wdOhQJk2aRHZ2NmvWrOHpp5+mXbt2tZYHcMpkDK1btz7jcW3atKkwprI2bNjg7h44ZsyYMx4XHBzMhRdeCMAPP/xAYWFhla/13nvvubfV1U5EpJyKJBGRBspms7m3d+7cWefXv++++zCby3+NfPXVVxUeM2zYMPesaQcPHqzWdX788Ud3683rr7/OX//6V/cMbCaTiaCgIPr168fDDz/Mrl27GDhwYLWuUxnt2rVzt2Dt37//jMclJCS4tzt06FDl62RmZrq3IyMjz3rsif2FhYWsX7++StfJy8tzf+9atmzJ0KFDq5aoiEgjpSJJRKSBCgkJoUWLFgBs2bKF5557DpfLVWfXj42NpWPHjgDs3bu3wlnzasKBAwfc21ddddVZjzWbzfj6+tZKHgBBQUH87ne/A+C7775j69atpx1TVlbGzJkzTzu+Kk7uDpiTk3PWY0/ev2PHjipd5/PPP3e3Pt18883nnPxCRKSpUJEkItKATZ061b39l7/8hTZt2nD//ffzySefnFJc1JYLLrjAvb13795aucbJY2TS0tJq5RpV8cILL3DBBRdQUlLCkCFDePLJJ1m4cCGrV6/m3XffpU+fPqxevRpfX1/ee+89QkNDq3yNTp06ubeXLl16xuNKSkpYs2aN+3llpoE/2cld7SZNmlSlWBGRxkxFkohIAzZt2jQmT57sfn7w4EFeeeUVbrjhBlq3bk1UVBQ33HAD33777SlTYNeUkwuAY8eO1fj5AYYMGeLevvfee0/piuYJkZGRLF++nJdeegkfHx8ef/xxRo0axYABA7j11lvZunUrd9xxBxs2bGDcuHHVukb79u3d3fTmzZvHihUrKjzun//8JxkZGe7nJ6aCr4zExER3ATZw4MA6H9cmIlKfqUgSEWnAzGYzb7/9Nj/99BOXXnrpaevxpKam8sknnzBu3Dj69et3yliZmnByt7CKPqAvWbIEwzAwDMM9jqiqevfuzbXXXgvATz/9ROvWrbnmmms4cOAAWVlZ5+yOVhsWL17MBx98QGpq6mn7DMPg66+/Zs6cOdWatOGEp59+Gihfq+ryyy9n1qxZpKSkUFpayt69e5k2bRoPP/zwKWPTTkzkURkffPCBu3BWK5KIyKlUJImINAKjRo3ihx9+IDMzk++//54nnniCsWPHEhQU5D5m/fr1DBkypEan6z65MAoMDKyx8/7We++9x3333YeXlxe5ubn897//JTExkW+//ZZmzZrRt29fXn311SoVCdX18ssvM27cONavX8/QoUNZsGABOTk5OBwOduzYwZ/+9CeysrJ47rnnGDFiBPn5+dW6zjXXXONeqDc3N5d7772X6OhobDYb7du356WXXqJZs2buYgrKF7etrPfffx8Au93O9ddfX60cRUQaKxVJIiKNSGBgIGPGjOGxxx7jm2++ITU1lXfeeYdmzZoBkJyczKOPPlpj1zu5q1dISEiNnfe3vL29efnllzlw4AAvvvgiV155JX5+fkB5y8369eu577776NmzZ62NjQLYunUr06dPxzAMRo4cyeLFixk5ciSBgYHYbDY6derE888/z7///W8AfvnlFx5//PFqX++xxx5j0aJFjBo1Crvd7n7dx8eHm266ia1btxIfH+9+/cT3+VzWrl3Lrl27ABg3bhzBwcHVzlFEpDFSkSQi0ojZ7XZuu+02PvroI/drX3zxRY3Ngrdp0yb3dvv27WvknGfTvHlzHnjgAb766iv69OnDuHHjePfdd91TV+/Zs4dx48ZRVlZWK9efPXu2+2v3xBNPYLFYKjxu8uTJ7jWb5syZc17jwUaMGMFPP/1ETk4OBw4cYP/+/WRnZ/P+++/TvHnzU4rCLl26VOqcmrBBROTsVCSJiDQBo0ePJi4uDiifYKEmJj84fPgwu3fvBsrXAgoPDz/vc1ZVs2bNmDRpEkuXLuW+++4DYNeuXfz000+1cr2T16M6eWa/ipzYn5WVVSOz8tntdlq2bEmrVq1OGYe0YcMG93a/fv3OeZ7S0lI+/vhjACIiIrj00kvPOzcRkcZGRZKISBMRExPj3q6J9XBeeeUVd6vK1Vdffd7nO19//vOf3dvbtm2rlWucPDHGuVqrSktLK4yrSXl5ecyfPx+AAQMGuAvhs5k3b567SL7xxhtrLTcRkYZMRZKISBNQWFjoXmg0MDCwWmv3nGzFihW89NJLQPl4oQceeOA8Mzx/Xl5e7u3a+uDfqlUr9/by5cvPeFxpaSmrVq0CyheUra3xWjNnznRPVjFlypRKxZzc1e6WW26plbxERBo6FUkiIg1Ufn4+/fv357vvvjvrGCOXy8XUqVPdM9GNGzeu2i1JLpeLOXPmMHr0aHdLyssvv0xkZGSFxw8bNgyTyYTJZOLgwYPVuuZ3333H5s2bz3ncv/71L/d2t27dqnWtcxk7dqx7+y9/+Qu5ubkVHvf444+7ZxG87LLLKvx6n/i6nGlq9NLS0lMmxvitDz/8kOeeew6Aiy66iBtvvPGc+WdlZTFv3jyg/GvUs2fPc8aIiDRFamMXEWnA1q5dy9ixY2nevDlXXXUVAwYMoEWLFgQEBJCdnc2mTZt45513+PXXX4HyVo2nnnrqrOfcs2ePe9pql8tFTk4OKSkprFmzhi+//JL9+/cD5Ws0Pf7449x55521+h7Xr1/PuHHjGDVqFDfeeCODBg1yz+hWUlLCihUr+M9//uNuIenQoQPDhw+v8Fyff/75KVNyn7xI628XbI2KijptvM4ll1zCiBEjWLx4MVu3bqVnz57cf//99OvXD29vb/bt28c777zDjz/+CICfn1+1Z7fLyckhPj6eq6++mtGjR9OhQwfMZjMJCQl89NFHfPPNNwC0bNmS999/v1KF78cff+xeu0mtSCIiZ2GIiEiDVFRUZERFRRlApR7t2rUz1q9fX+G5brnllkqfBzD69etnLFmy5Jw5XnTRRe6YAwcOVOt9zpo1yzCZTKflUNFrUVFRxq+//nrGc7Vo0aLS7/Giiy6q8BxZWVnG8OHDzxkfHh5uLFiw4Iy5nDiuRYsWFe5PT08/5zUGDRpkHDx4sNJfy/79+xuAYbFYjOTk5ErHiYg0NWpJEhFpoLy9vTl69CirV69m4cKFrF69mt27d5OamkpxcTF+fn7ExMTQo0cPrrzySiZMmHDKrGiVYbPZCAoKIjg4mM6dO9O3b18uv/zyOu2mdc8993DZZZfxxRdf8PPPP7N9+3ZSUlLcY3ECAgJo164dV1xxBffdd995j7c6l2bNmrFo0SK++eYb5s6dy7p160hJSaGsrIzg4GC6dOnCmDFjuOOOO85rLFJwcDD/+c9/WLRoERs3biQlJYXi4mIiIyPp27cvN9xwAxMmTKh018m9e/eyZs0aoHzx4aioqGrnJiLS2JkM4zwWbxAREfGQYcOG0bJlS+bMmePpVEREpJHRxA0iIiIiIiInUZEkIiIiIiJyEhVJIiIiIiIiJ9GYJBERERERkZOoJUlEREREROQkKpJERERERERO0ujXSXK5XCQlJREQEFDptSRERERERKTxMQyDvLw8YmJiMJvP3F7U6IukpKQk4uLiPJ2GiIiIiIjUE4cPHyY2NvaM+xt9kRQQEACUfyECAwM9nI2IiIiIiHhKbm4ucXFx7hrhTBp9kXSii11gYKCKJBGpM4WFhfTt2xeAdevW4evrW7m40kL6vnU87vfr8PWqXJyIiIhU3rmG4TT6IklExBMMw2DHjh3u7SrFpVc9TkRERGqOZrcTERERERE5iYokERERERGRk6hIEhEREREROYmKJBERERERkZOoSBIRERERETmJZrcTEakFJpOJFi1auLerFBdU9TgRERGpOSqSRERqga+vLwcPHqx6nJcvBx+oepyIiIjUHHW3ExEREREROYmKJBERERERkZOoSBIRqQVFRUX07duXvn37UlRUVPm40iL6vtWXvm/1pai08nEiIiJSczQmSUTqTGJiIhkZGZ5Oo04UFRWxfv16ADZu3IiPjw9hYWHEx8efNc5luFiftN69LSIiInVPRZKI1InExEQ6dupEUWGhp1Opc4MHDwbAx9eXXTt3nrNQEhEREc9SkSQidSIjI4OiwkImPvQ8kfFtPJ1OrSt1FPPq9BsBmPrCXLJSj/Lhcw+SkZGhIklERKSeU5EkInUqMr4Nse26eDqNWuco+l+LWUybTnjZvT2YjYiIiFSFJm4QERERERE5iYokERERERGRk6i7nYhILfELalatuDDfsBrORERERKpCRZKISC2w+/jy1GerqxznZ/Mj/cH0WshIREREKkvd7URERERERE6iIklEREREROQkKpJERGpBiaOYWX+6mVl/upkSR3Gl44pKixg2ZxjD5gyjqLSoFjMUERGRM9GYJBGRWmC4XCRsXeveriyX4WLpoaXubREREal7akkSERERERE5iUeLpDfeeIPu3bsTGBhIYGAgAwYM4IcffnDvHzZsGCaT6ZTH3Xff7cGMRURERESksfNod7vY2FieffZZ2rVrh2EYvPvuu1x55ZVs2rSJLl26APD73/+eJ5980h3j6+vrqXRFRERERKQJ8GiRNHbs2FOeP/PMM7zxxhusXr3aXST5+voSFRXlifRERERERKQJqjdjkpxOJx9//DEFBQUMGDDA/fqHH35IWFgYXbt2ZcaMGRQWFp71PA6Hg9zc3FMeIiIiIiIileXx2e1+/fVXBgwYQHFxMf7+/nz55Zd07twZgBtvvJEWLVoQExPD1q1beeihh9i9ezdffPHFGc83c+ZMnnjiibpKX0TkjGx2n2rF+XqpW7GIiIgnebxI6tChA5s3byYnJ4fPP/+cW265haVLl9K5c2fuvPNO93HdunUjOjqaiy++mISEBNq0aVPh+WbMmMH06dPdz3Nzc4mLi6v19yEicjK7jy/Pfru5ynF+Nj8K/lpQ8wmJiIhIpXm8SLLZbLRt2xaA3r17s27dOl5++WX+9a9/nXZs//79Adi3b98ZiyS73Y7dbq+9hEVEREREpFGrN2OSTnC5XDgcjgr3bd68GYDo6Og6zEhERERERJoSj7YkzZgxgzFjxhAfH09eXh5z585lyZIlzJ8/n4SEBObOnctll11GaGgoW7duZdq0aQwdOpTu3bt7Mm0RkXMqLXEw58mpANz62KuVjisuK2bCpxMA+O91/8Xb6l0r+YmIiMiZebRISktLY9KkSSQnJxMUFET37t2ZP38+o0aN4vDhwyxcuJCXXnqJgoIC4uLimDBhAo888ognUxYRqRSX08nOtUvd25XldDn5fu/37m0RERGpex4tkt5+++0z7ouLi2Pp0qV1mI2IiIiIiEg9HJMkIiIiIiLiSSqSRERERERETqIiSURERERE5CQqkkRERERERE6iIklEREREROQkHp3dTkSksbL7+PLCT7urHOdn88N43KiFjERERKSy1JIkIiIiIiJyEhVJIiIiIiIiJ1F3OxFpkAzDoKjUSW5xGfnFZeQVl1JU6qSkzFX+cLowDDCZyo83m0zYrWZsVjN2qwU/uwV/u5VAby8CvK1YLTX7N6PSEgdzn3sQgBsfer7SccVlxdz85c0AvH/1+3hbvWs0LxERETk3FUkiUu8ZhsGxwlKScopIz3OQmV9CZoGD4lJXjV0j0NtKqL+dED8b4f52ooO8CfC2YjpRZVWRy+lky/L5ANzwp2crHed0Ofl8x+cAzLlyTrWuLSIiIudHRZKI1Es5RaUczCggMauQpJyiMxZE/nYr/nYrAd5WfG0W7FYLNqsZL4upvMA5PgeC0zBwlJW3NDnKXOQ7TrRAlVHidJFbXEZucRkHMgrc5/bxshAd5E1sMx/iQnwJ9bNVu2gSERGRhkNFkojUC4ZhkJbnYG9qPvsz8jlWWHrKfovZRFSgN1GB3oT62wj1txHia6uRbnKFJWVkFZSQWVBCZn4JqbnFZOQ7KCp1sj+jgP3HCydfm4UWIb60CvejRYgfNquGdYqIiDRGKpJExKOyC0vYmZzHntQ8sov+VxiZTBAT5EPLUF+aN/MhIsAbi7l2WnF8bVZ8bVZim/m6XytzukjLc5CUU8ThrCKSsosoLHGyMyWPnSl5WEwmYkN8aBfhT5twf7y9LLWSm4iIiNQ9FUkiUufKXC72pxfw69Ecjhwrcr9uNZtoFeZHuwh/4kN8sXuw8LBazMQE+xAT7EOfFuU5J2cXczCzgIT0AnKKSjmUWcihzEIW70qjRagfHaMCaB3uh9WsFiYREZGGTEWSiNQZs28QO3LMfL/iIEWlTvfrLUJ9ywuMMP9624XNajYTF+JLXIgvg9uGcaywlH1p+exJyyMzv4QDGQUcyCjA28tMp6hA2od6eTplERERqSYVSSJS6/an5/PG+mxi/zCbnTlWwIm/3UrnmEC6RAcS6NOwCgqTyUSIn41+rULo1yqEzHwHu1Pz2JmcR76jjE2Hs9mQUOw+vsxVc7PwiYiISO1TkSQitWZfWj6vLd7LN1uScBlgstpoZnNxYfsY2ob7Y66lMUZ1LdTfzkB/Oxe2CuVgVgHbj+ayP8Mgblr5VN7vrksh3seCNTj6nOfy9fIlf0a+e1tERETqnskwDMPTSdSm3NxcgoKCyMnJITAw0NPpiDQJBzIKeHHBHr7dmsSJnzB9ou18948HuOcvTxHXvotnE6wD+Y4ydiTlsj0ph9ziMgAMw8WFsT48OPYCerdopunERURE6lhlawO1JIlIjUnLLeblRXv5ZN1hylzl1dElnSO57+J2lKQm8N8HttNU6gJ/u5V+rULo27IZiVmFrN51hJRiM2uOOrjmzVX0jAvm90NaM7pLZI1MYy4iIiI1R0WSiJy3wpIy3ly6n7eW7XdPyDC8Qzh/Gt2BLjFBAGxM9WSGda+spITPXn4MgGvvf5JBEWW8+tj9THpmDssOO9h8OJspczcS28yH2we34oa+8fjYLDjKHNz13V0A/OuKf2G32j35NkRERJokFUkiUm2GYfD15iSe/WEXKbnlExX0jAvmL2M6cmHrUA9n51lOZxnrFnwJwPh7y4ul0szD3NM3mJk3duH91Yd4f9VBjhwr4olvdzDr533cObQ1V/UK490t7wIw67JZ2FGRJCIiUtdUJIlItWxPyuHRr7axMTEbgNhmPswY04nLukVprM05hAfYmT6qPX+4qA3/3XiEN5cmcORYEf/3/S5e+9l57hOIiIhIrVKRJCJVUuAo46WFe3jnl4M4XQa+NgtThrfl9sGt8Pbg4q8NkY/Nwk0XtuD6vnF8uekor/+8j/2ZWeBTvn/Wz/u4a2hnghrYFOkiIiINnYokEam0hTtSeezrbSTllHetu7xbNI9e0ZmoIG8PZ9aweVnMXNcnjvG9mvPZxn3c+H3566/9vI/3V6Vw55DW3Da4Ff52/cgWERGpC/qNK1KHEhMTycjI8HQaVZZR6OTtTTmsOeoAIMLPwp0XBHJBNCQl7CCpEufYuXNn7SbZCFgtZsb1aA7Hi6R2EX4kpJXxzwV7mLPyIPcMb8vE/vFqsRMREallKpJE6khiYiIdO3WiqLDQ06lUnslMwAWXEzzkZsx2XwxnGbnrviTxl49ZV+ao1inz8/NrOMnG66t7BrN4Vw4vLtjDwcxCnvpuB/9Zvp/7Lm7HNb1j8dLU4SIiIrVCRZJIHcnIyKCosJCJDz1PZHwbT6dzTnmlsD7TSlZJ+QfxUJuLXiEGQa2uhOuurPL5dq5dyg/vvkxxcXFNp9pomc0mruzZnMu6RfPfDUd4ZdFeknKKmfHFr7y5NIHpo9oztnsMZrMmyhAREalJKpJE6lhkfBti23XxdBpn5DIMNh/OZuWRTJwuA5vFzOC2YXRtHnhes9alJibUYJb1n83bhyc/XeXerixfL1/S/pTm3obyMUs39Ivnql7NmbsmkdeX7ONQZiH3f7yZfy/bz18v68SgtmE1/yZERESaKI/21XjjjTfo3r07gYGBBAYGMmDAAH744Qf3/uLiYqZMmUJoaCj+/v5MmDCB1NQmtiKlSB3KLizhvxuOsHxvBk6XQXyILzddGE+32CBN611FJpMJ/+AQ/INDqvS1M5lMhPuFE+4Xflqct5eFyYNbsfTB4Tw4ugMBdivbk3KZ+J813Dp7LbtT8mr6bYiIiDRJHi2SYmNjefbZZ9mwYQPr169nxIgRXHnllWzfvh2AadOm8e233/LZZ5+xdOlSkpKSGD9+vCdTFmmUjOOtRx+uSSQppxgvi4mLO0ZwVc8YArw1/XR942e3MmV4W5Y8OIxbB7bEajaxZHc6Y15exp8/30JKjro0ioiInA+PdrcbO3bsKc+feeYZ3njjDVavXk1sbCxvv/02c+fOZcSIEQDMnj2bTp06sXr1ai688EJPpCzS6OQUlbJgRypHs4sAiGvmw8hOkQRqbZ7zUlZSwtf/mgnAlXfNqHSco8zB9PnTAXhh9AvYrfYzHhvqb+dv47pw68CW/H3+Lr7/NYVP1x/hmy1J3DG4NXdd1FpFroiISDXUmzFJTqeTzz77jIKCAgYMGMCGDRsoLS1l5MiR7mM6duxIfHw8q1atOmOR5HA4cDj+N+tWbm5urecu0hAZhsGulDyW7E6nxOnCy2JicNswujVX17qa4HSW8cu3cwG44o4H3a+fayr0orIiXl//OgA3ht+Ij7Vy45nu6GRiSHgoc7bksjuzlNd+3sd7K/dzfRd/RrX2xVoPJncICwsjPj7e02mIiIick8eLpF9//ZUBAwZQXFyMv78/X375JZ07d2bz5s3YbDaCg4NPOT4yMpKUlJQznm/mzJk88cQTtZy1SMNWXOpk8a409qaVT8cdE+TNJV2iCFLrUa3JzUoH4Kabbjr7gV7Aw+WbgwcPhtKqX8un3QCaDbuV3JDmvLUxl9cX7ODY0jkU7V1d9ZPVIB9fX3bt3KlCSURE6j2PF0kdOnRg8+bN5OTk8Pnnn3PLLbewdOnSap9vxowZTJ8+3f08NzeXuLi4mkhVpFE4nFXITztSyXeUYTZB/9ah9GnRDLNaj2pVUX55q/bldz1Mh+69z3hcqVHMqxk3AjD1xbl4mbyrdT2XAQfyy9iZY4HQWCLGP0K43UWPZk6CbEa1znk+UhMT+PC5B8nIyFCRJCIi9Z7HiySbzUbbtm0B6N27N+vWrePll1/m+uuvp6SkhOzs7FNak1JTU4mKijrj+ex2O3b7mfvwizRVZS4XqxIy2ZiYDUCwjxeju0YRFVi9D+FSPaExLc46BbzDWQgZ5dsxbTpht/hW+1rxwIVlTjYcOsbGxGzSHWYWpZjpFhvEha1D8fGyVPvcIiIijVm9W67d5XLhcDjo3bs3Xl5eLFq0yL1v9+7dJCYmMmDAAA9mKNLwZOY7+HTdEXeB1DUmkBv7x6tAagLsVgsD24Rx84UtaBvujwFsPZLDuysPsvlwNk5X3bcqiYiI1HcebUmaMWMGY8aMIT4+nry8PObOncuSJUuYP38+QUFB3H777UyfPp2QkBACAwOZOnUqAwYM0Mx2IpVkGAZbjuSwYl/5ukc+XhYu7hRBm3B/T6cmdSzIx4vLu0dzOKuQZXvTycgvYemedH49msPQdmG0CPXzdIoiIiL1hkeLpLS0NCZNmkRycjJBQUF0796d+fPnM2rUKABefPFFzGYzEyZMwOFwMHr0aF5//XVPpizSYBQ4yliwM5VDmYUAtAj1ZVSnSPzsHu9lKx4UF+LL7/rGsy0ph1X7M8kqKOGrzUm0DvNjSLswgn1tnk5RRETE4zz6aentt98+635vb29mzZrFrFmz6igjkcYhIT2fRTvTKCp1YjGbGNI2jO6xmtq7LnnZvXnkvUXu7UrHmb155IJF7u3aYDab6B4bTPvIANYcyGLrkWz2ZxRwMLOAXvHN6NcyBJu13vXGFhERqTP6k7JII1LqdLFsTzrbkspnUgvzt3FplyhC/TWZSV0zm82ERMVWPc5kJsS76nHV4e1l4aL24XRrHsSyPekcyipkw6Fj7ErJZWi7cNpF+KuwFhGRJklFkkgjkZJbzPxtKWQXlS+sc0F8MAPahGI1q0VAzi7Ez8aVPWM4mFnI0j3p5BSV8sO2FLaH+DKsQzjN1AVPRESaGBVJIg2cyzBYf/AYaw5k4jLA327lks6RxIVUf+poOX9lpSV8P/tFAC67bVrl41wlfJ94PC5+GlZz3RQoJpOJVmF+xDXzYcOhY6w7dIzErEI+XJ1I7xbN6NuyGVaLCm4REWkaVCSJNGA5RaXM355Cck4xAO0i/BnRMQJvrX/jcc6yMpZ8/g4Ao2+eWvk4o4wlScfj4qZipW5bcawWM/1bh9IhKoAle9I5lFnI2oNZ7ErJZViHCFqFaRY8ERFp/FQkiTRAhmGwKyWPJbvTKXG6sFnMDOsQTseoAI0hkRoR7Gvjyh4xJKQXsHRPOrnFZXyzJYk24X4MbR9OoLeXp1MUERGpNSqSRBqYohIni3elsS89H4DoIG9Gd4kiyEcfWqVmmUwm2kb4Ex/iy9oDWWw6fIyE9AIOZRbSv1UIveKbYTGrKBcRkcZHRZJIA3Iws4AFO1IpLHFiNsGFrUPp3aIZZrUeSS2yWc0MbhdGx+gAft6dRlJ2Mb8kZLIzOY+LO0UQE+zj6RRFRERqlIokkQag1Olixd4Mth7NASDE18boLpFEBNbOOjoiFQnzt3PNBbHsSslj+d4MsgpL+GzDEbrHBjGwTSh2q8bCiYhI46AiSaSeS8ktZv72FLILy6f27hkbzKC2oZppTDzCZDLRKTqQVmF+LN+bwY7kXLYeyWF/egEjOmpiBxERaRxUJInUUy6XwbpDWaw9kIXLAD+7hVGdImkRqg+h4nneXhZGdY6kQ1QAi3elkVNUyjdbkmgf6c9F7cPxtenXi4iINFz6LSZSD2UXljB/eyopueVTe7eP8Ge4pvZuULzs3vz539+5tysdZ/bmzz2/c2/Xd/EhvkzsH8/q/ZlsSsxmT2o+iZmFDG2v2RZFRKThUpEkUo8YhsG2pFyW702n1Glgs5oZ3iGcDpH6sNnQmM1molq2q3qcyUyUb9XjPMnLYmZIu3DaRwawcGcqGfkl/LQjlb1p+VzcMQI/u37ViIhIw6LfXCL1RG5xKYt2ppGYVQhAbDMfRnWO1Ho00mBEBnpzQ994NiYeY83+LA5kFPD+6kMM7xCBr+Hp7ERERCpPRZKIhxmGwfakXJbvzaDE6cJqNjGwTSg944LVetSAlZWWsPCjfwEw8nd3VT7OVcLCI8fjYu/CarbVSn61xWI20bdlCK3C/FiwI5W0PAc/bk+huY8Vs0+gp9MTERGpFBVJIh7029aj6CBvRnWOpJlvw/pgLKdzlpXx0wevATD82tsrH2eU8dOR43HNb8dKw7wXwvztXNcnjvUHs1h7MIujRWZibn+d1UeKuOACT2cnIiJydiqSRDzgt61HlpNaj7QwrDQWFrOJ/q1DaRXux7xNh8j1C+bvK7PZU7iJJ67sSpCPupKKiEj9pIVWROpYYRl8vTmJRbvSKHG6iA7yZmK/eC6Ib6YCSRqliABvRkSVkbPyE8wm+GpzEpe9vJy1B7I8nZqIiEiFVCSJ1BHDMPDvPooFyV4cyirEYjYxpG0Y1/SOpZlfw+xSJVJZFhNkL3+f/xsRSstQX45mF3HDv1fxz592U+p0eTo9ERGRU6hIEqkDR7OLeHr5MULH3E+ZYSIq8HjrUQu1HknT0j7Uxrz7hnBt71hcBry6eB/XvrmKQ5kFnk5NRETETUWSSC1yugxm/3KAS15YyqYUB0ZZCd2Cy7i2j1qPpOnys1t5/toevHZjLwK8rWw+nM1lLy/nvxuOYBiaK1xERDxPRZJILdmVksuEN1byxLc7KChx0iHUi6Q599E+0KXWIxHgiu4x/PjAUPq1DKGgxMkfP9vCfR9vJre41NOpiYhIE6fZ7URqWHGpk9cW7+PNpQmUuQz87VYeGtORTl4Z9P3zEU+nJ3XEy2bngVc/c29XOs5s54Fun7m3G7vmwT58dOeFvLFkHy8u3Mu3W5L49Ug2syZeQJeYIE+nJyIiTZSKJJEatHp/Jn/94lf2Z5SPrxjVOZKnruxKVJA3Gzdmejg7qUtmi4X4Dt2rHmeyEB9Q9biGzGI2ce+IdgxqG8a9czdxMLOQq19fyRPjunBD3zgtqiwiInVO3e1EakBOUSkzvtjKDf9ezf6MAsID7Lwx8QL+fXNvooK8PZ2eSIPQK74Z8+4bzMUdIygpczHji1/546dbKCwp83RqIiLSxKglSeQ8GIbBD9tSePyb7aTnOQD4Xb94/jKmoxbKbOLKSktY9uV7AAy9elLl41wlLEs+Hhc9Cau5aU3wEexr461Jffj38v08P383X2w6yq9Hc3h94gW0iwzwdHoiItJEqEgSqaaUnGIe/XobC3akAtA6zI+Z47vRv3WohzOT+sBZVsZ3/3kegEFjb6x8nFHGd4eOx0XdiJWmVSQBmM0m7r6oDb3igpn60Sb2puUz7rVf+L/xXbm6V6yn0xMRkSZA3e1EqsjlMnh/1UFGvrCUBTtSsZpNTB3Rlu/vH6ICSaQG9W8dyvf3D2FQ21CKSp1M+2QLj361TYvPiohIrVNLkkgV7E3N4y9f/MqGQ8cA6BUfzLPju9MhSt2ARGpDmL+d9yb35+VFe3ll0V7eX32I3al5vD7xAsL8G//sfyIi4hlqSRKpBEeZkxcX7OGyV5az4dAx/GwWnhjXhc/vHqgCSaSWWcwmpo9qz38m9cHfbmXtgSzGvbqCX4/keDo1ERFppDxaJM2cOZO+ffsSEBBAREQEV111Fbt37z7lmGHDhmEymU553H333R7KWJqi9QezuPyVFby8aC+lToOLO0awYPpF3DKwJRazpiYWqSsjO0fy1ZSBtArzIymnmGveXMlXm456Oi0REWmEPFokLV26lClTprB69WoWLFhAaWkpl1xyCQUFBacc9/vf/57k5GT34+9//7uHMpamJK+4lEe/2sY1b65iX1o+Yf42XruxF/+5pQ8xwT6eTk+kSWobEcBXUwYxvEM4jjIXD3yymWfm7aBM45RERKQGeXRM0o8//njK8zlz5hAREcGGDRsYOnSo+3VfX1+ioqLqOj1pwhbvSuXhL7eRnFMMwLW9Y3n48k4E+za9mcZE6psgHy/+c0tfXliwm1k/J/DW8gPsTM7jtRt76f+oiIjUiHo1cUNOTnn/8pCQkFNe//DDD/nggw+Iiopi7NixPProo/j6+lZ4DofDgcPhcD/Pzc2tvYSl0cnMd/Dkdzv4enMSAPEhvswc341BbcM8nJk0NF42O/c8/557u9JxZjv3dHnPvd3Y7Ny5s8bOdXE4+AwI5tW1OazYl8GYFxbz8JAQYgLq1a82t7CwMOLj4z2dhoiIVEK9+U3icrl44IEHGDRoEF27dnW/fuONN9KiRQtiYmLYunUrDz30ELt37+aLL76o8DwzZ87kiSeeqKu0pZEwDIOvNyfx5Hc7yCoowWyC2we3YvqoDvjYLJ5OTxogs8VC2x79qx5nstA2qOpx9V1uVjoAN910U42f2yu8JRETHiOZCP7wRQLpXzyD48j2Gr/O+fLx9WXXzp0qlEREGoB6UyRNmTKFbdu2sWLFilNev/POO93b3bp1Izo6mosvvpiEhATatGlz2nlmzJjB9OnT3c9zc3OJi4urvcSlwUvKLuLhL3/l593lH+I6RgXw3ITu9IgL9mxiIo1IUX55q/7ldz1Mh+69a/z8xU5Yme7iGIHETHyW3qFO4v3qzzil1MQEPnzuQTIyMlQkiYg0APWiSLr33nv57rvvWLZsGbGxZ19NvX//8r+w7tu3r8IiyW63Y7c3vi4qUvNcLoMP1hziuR92UVDixGYxM3VEW+66qA02q2bHl/PjLCtl1fefAjDgsusqH+cqZVXq8bjI67CYvWolP08JjWlBbLsutXLuFu1c/LQ9lX3p+azLtGIODKF/qxBMJs1CKSIiVePRIskwDKZOncqXX37JkiVLaNWq1TljNm/eDEB0dHQtZyeNWUJ6Pn/571bWHSxfFLZPi2Y8O6EbbSO05pHUjLLSUr547UkA+o66uvJxRilfHDgeF3E1FhpXkVSbvCxmLusWxS8JmWw4dIw1B7LILixlZKcIrBb94UNERCrPo0XSlClTmDt3Ll9//TUBAQGkpKQAEBQUhI+PDwkJCcydO5fLLruM0NBQtm7dyrRp0xg6dCjdu3f3ZOrSQLlcBnNWHuS5H3fhKHPhZ7Pw0JiO3NS/BWateSTS4JlMJga3DSPYx4ufd6exOzWP3OJSxnaP0fhCERGpNI8WSW+88QZQvmDsyWbPns2tt96KzWZj4cKFvPTSSxQUFBAXF8eECRN45JFHPJCtNHSHswp58PMtrN6fBcCQdmE8O6E7zbXmkUij07V5EIE+Xsz7NZnknGI+XX+Yq3o1J8hHLXMiInJuHu9udzZxcXEsXbq0jrKRxsowDD5df5invttJvqMMHy8LD1/eiYn94zVWQaQRiw/x5bresXy9JYnsotLyQqlnc8IDNG5VRETOrl5M3CBNR2JiIhkZGXV2vawiJ2+sz2FDcvnaWR3DvLivXzBRtkw2bcqsszygZteHEZHKCfW3c12fOL7afJTM/BI+33CEK7pHExdS8Vp7IiIioCJJ6lBiYiIdO3WiqLCwTq7n22EQIaOnYPEJxCgrJXv5+8xf9xXzDc9OC5yfn+/R64s0Nf52K9deEMu3W5M5ml3EV5uPMrpLFO0jNVGLiIhUTEWS1JmMjAyKCguZ+NDzRMafPn17TSlzwdZsCwfyywdpB3u56BMFQbfcBLfU/EKWlbVz7VJ+ePdliouLPZaDSFNl97JwVc8Y5u9IZV9aPj9sS6GwxElPrYcmIiIVUJEkdS4yvk2trZOSme/gh20pZBaUAOVTe1/YOhRLPZi5LjUxwdMpSB2y2mzc8dS/3NuVjjPbuKPjv9zbUnOsFjNjukaxdE86W4/ksHRPOvmOMga1CdX4RBEROYWKJGkUDMNge1IuS/ekU+Yy8LVZGN0liniNOxAPsVisdO4/rOpxJiudQ6oeJ5VjNpkY1j4cf7uVlcfXUyosKWNkx0gtAyAiIm4qkqTBc5Q5WbwzjT1p5WN94kN8uaRzJH523d4icjqTyUTfliH42aws3JXKzuQ8SspcXNo1CqtZi86KiIiKJGngUnKL+XFbCjlFpZhNMKBNKL3jm6nrjHics6yUDYu/BaD3iLGVj3OVsiHjeFzYWCxmretTWzrHBGL3MvPDrykkpBfw7ZZkrugejZdFhZKISFOnIkkarG1JOSzZlY7TMAj0tnJp1yiig7QwrNQPZaWlfPyPGQD0GHJp5eOMUj7edzwu9FIsqEiqTW3C/RnXM4bvtiaRmFXIl5uOcmWPGOxeFk+nJiIiHqQ/l0mD43QZ/LwrjUU703AaBm3C/bixX7wKJBGplvgQX67u1Ry71UxyTjH/3XiUwpIyT6clIiIepCJJGpQCRxlfbDrC1qM5AAxoHcrl3aL1V18ROS/RQT5MuCAWX5uF9HwHn204Ql5xqafTEhERD1GRJA1Gam4xH687TFJ2MTaLmbHdo+nXKkTjj0SkRoQH2LmmdywB3layC0v5bMMRjhWWeDotERHxABVJ0iDsTM7lsw1HyHeU0czXi+v7xtE63N/TaYlII9PM18Y1vWMJ9vUir7iMzzccITPf4em0RESkjqlIknrNZRgs25POTztScboMWoX5cX3fOEL8tMimiNSOQG8vru0dS5i/jcISJ//deJQMFUoiIk2KiiSpt0qdLr7bmsymw9kA9GsVwtju0ditGn8kIrXL12Zl/AWxRATYKSp18t+NR0jPU6EkItJUaApwqZcKHGV8syWJtDwHFrOJ0Z0jaRcZ4Om0RCrNarMx6ZGX3NuVjjPbmNT+Jfe2eI6Pl4WrezXnq81HSc118N+NR7i6V3MiA709nZqIiNQyFUlS72TmO/h6SxJ5xWX4eFkY2yNa03tLg2OxWOk5dEzV40xWeoZVPU5qh/fxQunrzUkk5xTzxcajXNUrRj+TREQaOXW3k3olKbvo+NS7ZQT7enFdn1h9GBERj7JbLVzVszkxwd6UOF18tSmJo9lFnk5LRERqkYokqTcOZBTw5aajOMpcRAd5c12fOIJ91d1IGians4zNy35g87IfcDorvzCp0yhjc8YPbM74AaehBU3rC5vVzFU9mxPbzIcSp4uvNx/lyLFCT6clIiK1REWS1As7knP5dmsSZS6DlqG+XN2rOT5aIFYasLKSEt57+gHee/oBykoqv9ZOmauE9/Y8wHt7HqDMpTV66hMvi5lxPWKID/Gl1Gnw9eYkErNUKImINEbVKpJat25NZmbmaa9nZ2fTunXr805KmpbNh7NZsCMVw4BOUQFc0T0GL4vqdxGpf7yOL2TdMtSXMpfBN1uSOJhZ4Om0RESkhlXrk+jBgwdxOp2nve5wODh69Oh5JyVNx/pDWSzdkw5Ar7hgRnWOxGI2eTgrEZEzs1rMXN49mtZhfjhdBt9tSWZ/er6n0xIRkRpUpdntvvnmG/f2/PnzCQoKcj93Op0sWrSIli1b1lhy0ngZhsGaA1msOZAFQL+WIVzYOgSTSQWSiNR/VrOZy7pF8+P2FPal5TPv12Qu6xZNm3B/T6cmIiI1oEpF0lVXXQWAyWTilltuOWWfl5cXLVu25J///GeNJSeNk2HALwmZbDh0DICBbULp2zLEw1mJiFSNxWxiTJco5ptS2JOaz/e/JnNp1yjaRWhNNxGRhq5KRZLL5QKgVatWrFu3jrCwsFpJShq37TkWdueWF0hD24XRK76ZhzMSEakes9nE6M5RmEyp7E7J44dtKdAFLX4tItLAVWsx2QMHDtR0HtIEGIZB8JCb2Z1bPmvdsPbh9IgL9mxSIiLnyWw2cUnnSEzArpQ8ftieggG0V6EkItJgVatIAli0aBGLFi0iLS3N3cJ0wjvvvHPeiUnj8/H2fIIGXg/ARSqQpJGzenlxw59murcrHWfy4oa2M93b0jCYTSZGdY7EZIKdyXn8uC0Fw4AOUSqUREQaomoVSU888QRPPvkkffr0ITo6WoPt5Zxm/byPz3aUz/7UPbiMniqQpJGzWL3od8n4qseZvegXUfU48TyzycSoTpGYMLEjOZf521MwMOgYFejp1EREpIqqVSS9+eabzJkzh5tvvrmm85FG6N2VB3l+/m4Ajv38Nu1u0X0jIo2TyWRiZKcITCbYnpTLT9vL14BTe5KISMNSrXWSSkpKGDhwYE3nIo3Q5xuO8Pg32wG4rrM/uWu/9HBGInXD6Sxjx5ol7FizBKezrPJxRhk7spawI2sJTqPycVJ/mEwmLu4YQdeYQAzgpx2pHMrXAtkiIg1JtX5q33HHHcydO/e8Lz5z5kz69u1LQEAAERERXHXVVezevfuUY4qLi5kyZQqhoaH4+/szYcIEUlNTz/vaUvt+3JbMnz/fAsDkQa24vovWD5Gmo6ykhP88ehf/efQuykpKKh/nKuE/u+7iP7vuosxV+TipX0wmEyM6RtCtefl6guuzLPh1G+XhrEREpLKq1d2uuLiYf//73yxcuJDu3bvj9ZtByS+88EKlzrN06VKmTJlC3759KSsr469//SuXXHIJO3bswM/PD4Bp06Yxb948PvvsM4KCgrj33nsZP348v/zyS3VSlzqyKiGT+z7ajMuA6/rE8ugVndi0aZOn0xIRqTMmk4nhHcIxmWDrkRzCLrufBfsLueACT2cmIiLnUq0iaevWrfTs2ROAbdu2nbKvKpM4/Pjjj6c8nzNnDhEREWzYsIGhQ4eSk5PD22+/zdy5cxkxYgQAs2fPplOnTqxevZoLL7ywOulLLduZnMud762nxOlidJdIZo7vrsk9RKRJMplMDGsfTkF2Fgn5Ft5Yn0NcXCI39o/3dGoiInIW1SqSfv7555rOA4CcnBwAQkJCANiwYQOlpaWMHDnSfUzHjh2Jj49n1apVFRZJDocDh8Phfp6bm1sruUrFjhwr5NbZa8lzlNGvZQgv39ALi1kFkog0XSaTiR7NnGz6+VsC+17FX7/8FZdhcNOFLTydmoiInEG9GUnqcrl44IEHGDRoEF27dgUgJSUFm81GcHDwKcdGRkaSkpJS4XlmzpxJUFCQ+xEXF1fbqctx2YUlTHpnLam5DjpEBvDWLX3w9rJ4Oi0REY8zmeDY4v8wtn15V/JHvtrGe6sOejYpERE5o2q1JA0fPvys3acWL15c5XNOmTKFbdu2sWLFiuqk5DZjxgymT5/ufp6bm6tCqQ44ypzc+d4G9qcXEBPkzZzJfQny0UKYIiInu7VHADFRkfxr2X4e+3o7LpfBrYNaeTotERH5jWoVSSfGI51QWlrK5s2b2bZtG7fcckuVz3fvvffy3XffsWzZMmJjY92vR0VFUVJSQnZ29imtSampqURFRVV4Lrvdjt1ur3IOUn2GYfDnz7ey9mAWAXYrcyb3IzrIx9NpiYjUOyaTib+M6YjJZOLNpQn87dsdOA24fbAKJRGR+qRaRdKLL75Y4et/+9vfyM/Pr/R5DMNg6tSpfPnllyxZsoRWrU79JdG7d2+8vLxYtGgREyZMAGD37t0kJiYyYMCA6qQuteDFhXv5enMSVrOJN27qTftILZsoYvXyYvy9j7m3Kx1n8mJ8q8fc29L4mEwmHrq0AxYzzPo5gae+24FhGNwxpLWnUxMRkeOqVSSdyU033US/fv34xz/+Uanjp0yZwty5c/n6668JCAhwjzMKCgrCx8eHoKAgbr/9dqZPn05ISAiBgYFMnTqVAQMGaGa7euK/G47wyqK9ADxzdVcGtwvzcEYi9YPF6sXgcROrHmf2YnB01eOkYTGZTPzpkg6YTSZeXbyPp+ftxGUY3Dm0jadTExERarhIWrVqFd7e3pU+/o033gBg2LBhp7w+e/Zsbr31VqC81cpsNjNhwgQcDgejR4/m9ddfr6mU5TxsTDzGjC9+BeCeYW24vq+mtBURqSyTycT0Ue0xm0y8vGgv//f9Lpwu+MMwFUoiIp5WrSJp/Pjxpzw3DIPk5GTWr1/Po48+WunzGIZxzmO8vb2ZNWsWs2bNqnKeUntSc4u5+/0N7rWQ/nRJB0+nJFKvuJxO9m9bD0Drrn0qH2c42Z97PC6wD2aTZohszEwmE9OOF0ovLtzDcz/uwmUYTBne1tOpiYg0adUqkoKCgk55bjab6dChA08++SSXXHJJjSQm9VdxqZO73t9AWp6D9pH+/PO6npi1FpLIKUpLHLz+4CQAZn69qfJxLgevbz8e138TdotvreQn9cv9I9thNsE/F+zh+fm7cbkMpl7cztNpiYg0WdUqkmbPnl3TeUgDYRgGj361jc2Hswny8eKtSX3wt9dor00RkSZp6sXtMJtNPD9/N/9csAenYfDAyPaeTktEpEk6r0+3GzZsYOfOnQB06dKFXr161UhSUn+9u/Ign204gtkEs268gBahfp5OSUSk0ZgyvC1mk4nnftzFSwv34jJg2sh2Z12bUEREal61iqS0tDRuuOEGlixZ4l6/KDs7m+HDh/Pxxx8THh5ekzlKPbEyIYOn5pUXxX+9rJNmshMRqQV/GNYGixn+7/tdvLJoL4ZhMH1UexVKIiJ1yFydoKlTp5KXl8f27dvJysoiKyuLbdu2kZuby3333VfTOUo9cDirkCkfbsTpMri6V3MtfCgiUovuHNqGRy7vBMCri/fxj592V2qyIxERqRnVakn68ccfWbhwIZ06dXK/1rlzZ2bNmqWJGxqhwpIyfv/eeo4VltI9NoiZ47vpL5oiIrXsjiGtMZlMPPXdDmb9nIDTBQ9d2kE/f0VE6kC1WpJcLhdeFawg7+XlhcvlOu+kpP4wDIM/f76VXSl5hPnb+dfNvfH20pTEIiJ14fbBrfjb2M4AvLk0gSe+3YHLpRYlEZHaVq2WpBEjRnD//ffz0UcfERMTA8DRo0eZNm0aF198cY0mKJ71/upDfLc1GavZxJs3XUB0kI+nUxJpECxWK1fc8aB7u9JxJitXtHjQvS1y66BWWC1mHv16G3NWHiS3uJS/T+iO1VKtv3OKiEglVOs38Guvvca4ceNo2bIlcXFxABw+fJiuXbvywQcf1GiC4jlbj2Tz1Hc7AJhxWSf6tAzxcEYiDYfVy8aI6+6oepzZxojmVY+Txu2mC1vgZ7fwp8+28sXGo+QXl/Hqjb2wW9WyLyJSG6pVJMXFxbFx40YWLlzIrl27AOjUqRMjR46s0eTEc3KKSpkydyOlToPRXSKZPKilp1MSEWnSru4Vi5/Nyr1zN/HTjlRun7Oef0/qja9NLY4iIjWtSm31ixcvpnPnzuTm5mIymRg1ahRTp05l6tSp9O3bly5durB8+fLaylXqSPk4pC0czioiLsSHv1/TQwOFRarI5XSSuHsribu34nI6Kx9nOEnM20pi3lZcRuXjpGm4pEsUs2/ri6/Nwop9Gdz0nzXkFJZ6Oi0RkUanSkXSSy+9xO9//3sCAwNP2xcUFMRdd93FCy+8UGPJiWe888tB5m9PxWYxM+vGCwjyOX2SDhE5u9ISBy9NvZaXpl5LaYmj8nEuBy/9ei0v/Xotpa7Kx0nTMahtGB/c0Z9AbysbE7O5/t+rSM/TvSIiUpOqVCRt2bKFSy+99Iz7L7nkEjZs2HDeSYnnbEw8xszvyxeMffjyTnSPDfZsQiIicpoL4pvxyV0DCPO3syslj+v+tYrDWYWeTktEpNGoUpGUmppa4dTfJ1itVtLT0887KfGM7MISps7dRJnL4PJu0Uwa0MLTKYmIyBl0ig7ks7sH0DzYhwMZBYx/YyXbk3I8nZaISKNQpSKpefPmbNu27Yz7t27dSnR09HknJXXP5TL446dbOJpdRMtQX56doAVjRUTqu1Zhfnz+hwF0iAwgPc/B9f9azcp9GZ5OS0SkwatSkXTZZZfx6KOPUlxcfNq+oqIiHn/8ca644ooaS07qzlvL97NoVxo2q5lZEy8gwFvjkEREGoLoIB8+vXsA/VqFkO8o45bZa/lmS5Kn0xIRadCqNG/oI488whdffEH79u2599576dChAwC7du1i1qxZOJ1OHn744VpJtLFITEwkI6N+/ZVvb1YJf1+UCcBtPfxxpCSwMaXmr7Nz586aP6mIiBDk48V7k/vxx0+3MO/XZO77aBNpucXcMaS1p1MTEWmQqlQkRUZGsnLlSv7whz8wY8YMDMMAwGQyMXr0aGbNmkVkZGStJNoYJCYm0rFTJ4oK68/gWpOXN9G3voJXSAwFu5bz1+ee46+1fM38/PxavoKISNPj7WXh1d/1IjzAzpyVB3l63k5Scor562WdMJvVfVpEpCqqvAJdixYt+P777zl27Bj79u3DMAzatWtHs2bNaiO/RiUjI4OiwkImPvQ8kfFtPJ0OABsyLRwssOBjMRg7sj+2S76otWvtXLuUH959ucLumiKNjcVq5ZKb7nVvVzrOZOWS2Hvd2yJVYTabeHxsZ6KCvHn2h138Z8UB0vIcPH9td+xWi6fTExFpMKr9G7hZs2b07du3JnNpMiLj2xDbroun02Bvah4HE8v71V3WI5bYZr61er3UxIRaPb9IfWL1snHppKlVjzPbuDS+6nEiJ5hMJu6+qA0RAXb+/PlWvtmSRHJOEf+6uQ8hfjZPpyci0iBUaeIGaTzyiktZtCsNgD4tmtV6gSQiInVr/AWxzL6tLwF2K+sOHuPKWSvYm5rn6bRERBoEFUlNkMsw+Gl7Ko4yFxEBdi5sHerplEQaHZfLRcrBvaQc3IvL5ap8nOEipXAvKYV7cRmVjxOpyJB24Xxxz0DiQ3w5nFXE+NdXsnSP1jMUETkXFUlN0MZDxziSXYSXxcSlXaOwaECvSI0rdRTz9zuv4O93XkGpo/Lj8Epdxfx98xX8ffMVlLo0fk/OX7vIAL6aMoh+LUPIc5Qxec463lt10NNpiYjUayqSmpjU3GJW7S+f7vui9uE081X/dBGRxi7Ez8b7d/RjwgWxOF0Gj329nce/3kaZU62VIiIVUZHUhJQ6Xfy4LQWXAW3D/ekcHejplEREpI7YrRb+cW13Hrq0IwDvrjrE5HfXk1NU6uHMRETqHxVJTcjSPelkF5Xib7dycacITCZ1sxMRaUpMJhN/GNaGN2/qjY+XhWV70rnytRXsSsn1dGoiIvWKiqQmYn9GPtuTyn8JXtI5Em8vrZchItJUXdo1is/uHkDzYB8OZhZy9ayVfLMlydNpiYjUGyqSmoDiUieLd5ZP990rPpi4EE33LSLS1HVtHsS3UwczpF0YRaVO7vtoE09+u4NSjVMSEfFskbRs2TLGjh1LTEwMJpOJr7766pT9t956KyaT6ZTHpZde6plkG7Cle9IpKHHSzNeLgZruW0REjgvxszHntn5MGd4GgHd+OcDE/6whLU8zK4pI02b15MULCgro0aMHkydPZvz48RUec+mllzJ79mz3c7vdXlfpNQoJ6fnsSsnDBIzqHInVosZDkbpgsVoZds1k93al40xWhsVMdm+L1DaL2cSDozvSPTaYP366hbUHshj76gpen3gBvVuEeDo9ERGP8Ohv4DFjxjBmzJizHmO324mKiqqjjBqXohIni453s7ugRTOig3w8nJFI02H1sjHuzoeqHme2Ma5l1eNEztfoLlG0vdefu9/fwN60fG7492pmjOnEbYNaaqIfEWly6n2zwpIlS4iIiKBDhw784Q9/IDMz86zHOxwOcnNzT3k0VUt2p1FU6iTUz8aFrfXXQBERObs24f58NWUQl3eLptRp8OR3O7jj3fVkFZR4OjURkTpVr4ukSy+9lPfee49Fixbx3HPPsXTpUsaMGYPT6TxjzMyZMwkKCnI/4uLi6jDj+mNvah570vIxmY53szPX62+1SKPjcrnISjlCVsoRXK7KD4R3GS6yio+QVXwEl6EB9FL3/OxWXruxF09e2QWb1cyiXWmMeXkZqxLO/kdKEZHGpF5/cr7hhhsYN24c3bp146qrruK7775j3bp1LFmy5IwxM2bMICcnx/04fPhw3SVcTxSWlPHz7nQA+rYIITLQ28MZiTQ9pY5inp50MU9PuphSR+UHwZe6inl648U8vfFiSl0aPC+eYTKZmDSgJV/dM4g24X6k5jq48T+reeGn3ZRp9jsRaQLqdZH0W61btyYsLIx9+/ad8Ri73U5gYOApj6bEMAwW7yrvZhfmb6NfK3WzExGR6ukcE8i3UwdzfZ84DANeWbyP3721mqPZRZ5OTUSkVjWoIunIkSNkZmYSHR3t6VTqrT2p+SSkF2A2wSWdo7CYNdhWRESqz9dm5blruvPq73oRYLey7uAxLnt5OfO2Jns6NRGRWuPRIik/P5/NmzezefNmAA4cOMDmzZtJTEwkPz+fBx98kNWrV3Pw4EEWLVrElVdeSdu2bRk9erQn0663Chxl/Ly7fDa7fi1DCA/QdOkiIlIzxvaIYd59Q+gZF0xOUSlT5m7kvo82kV2oSR1EpPHxaJG0fv16evXqRa9evQCYPn06vXr14rHHHsNisbB161bGjRtH+/btuf322+nduzfLly/XWkkVMAyDRbvScJS5CA+w06elutmJiEjNig/15bO7B3DfiLZYzCa+2ZLEJS8u4+ddaZ5OTUSkRnl0naRhw4ZhGMYZ98+fP78Os2nYdqXkcSDjRDe7SHWzExGRWuFlMTP9kg5c3CmS6Z9uJiG9gNvmrOOGvnE8fHknAry9PJ2iiMh5a1BjkqRi+cVlLNlTPpvdha1DCfNXS5uIiNSuHnHBzLtvCHcMboXJBB+vO8ylLy1nZUKGp1MTETlvHm1JkvNnGAYLd6VSUuYiMtBO7/hmnk5JRACLxcqgsTe6tysdZ7IyKOpG97ZIfebtZeGRKzozsnMkD36+hcNZRdz41hpuGdCCBy/tiL9d97CINEz66dXA7UjO5VBmIRaziVGdIjGrm51IvWC12Zgw9fGqx5ltTGhd9TgRT7qwdSg/3D+UZ+bt5KO1iby76hALdqTy9NVdGdEx0tPpiYhUmbrbNWC5xaUs21PerWFA61BC1c1OREQ8xN9uZeb4bnxwe3/iQnxIyilm8pz13PfRJjLyHZ5OT0SkSlQkNVCGYbBoZxolThfRQd70ig/2dEoichLDMMjPziI/O+usE9RUGFeaRX5p1eJE6ovB7cKY/8BQ7hzaGrMJvtmSxMgXlvLfDUd0T4tIg6EiqYHadjSXxKzj3ew6R2I2qZudSH1SUlzEY9cN4LHrBlBSXFT5OFcRj60bwGPrBlDiqnycSH3ia7Py18s68fWUwXSKDiS7sJQ/fraFSe+sJTGz0NPpiYick4qkBiinqJTl+8pnsxvUJpRmvjYPZyQiInK6brFBfHPvIP58aQdsVjPL92Yw6sWlvLpoL44yp6fTExE5IxVJDYxhGCzcmUqp0yAm2JueccGeTklEROSMvCxm7hnWlvkPDGVgm1AcZS7+uWAPl760nGXHl68QEalvNLtdA7P1SA5HjhVhPT6bnUnd7EREGoydO3d6OgWPcTgc/PECG/3Dg5m9OZcDGQVMemctA2O9ua1nIKG+Fk+nWOvCwsKIj4/3dBoiUgkqkhqQ7MISVuwrn81ucNswgtXNTkSkQcjNKm8xuemmmzyciSeZgPKJG0w2X4KHTCTggitYeaSYFQlZZP/yEXkbvgFX4+2G5+Pry66dO1UoiTQAKpIaCMMwWLAjlTKXQWwzH7rHBnk6JRERqaSi/FwALr/rYTp07+3hbOrezrVL+eHdl097/9klLjZlmcjCl5ARt9Ny9G30auYkzLvxzYKXmpjAh889SEZGhookkQZARVIDsflwNkk5xXhZ1M1ORKShCo1pQWy7Lp5Oo86lJiYAp7//WKCLYbA9OZdf9mWQWwpL08x0ig5gcNswfG36mCIinqGfPg3AsYISfknIBGBI23ACfbw8nJGInIvFYqXvqKvd25WOM1npG361e1uksTOZTHSNCaJNuD8r92WwLSmXncl57E8vYECbULo1D9IyFyJS5/QbuJ5zGQY/7UjF6TKID/Gla/NAT6ckIpVgtdn43YPPVj3ObON37aoeJ9LQ+XhZuLhTJJ1jAvl5dzrpeQ6W7E5ne1IuwzuEEx3k4+kURaQJ0RTg9dymxGxScouxWcyM7BShbnYiItKoRQf5cEPfOIa1D8dmNZOe5+DT9UdYsCOVwpIyT6cnIk2EWpLqscx8B6v2l3ezG9o+jABvdbMTaSgMw6CkuAgAm3fl/wJuGAYlruNxZh/9YUSaJLPJRI+4YNpF+vPLvkx2JOeyIzmXhPR8BrQ+3gXPrP8bIlJ71JJUT7lcBgt2lnezaxHqS+dodbMTaUhKiouYcWUvZlzZy10sVSrOVcSMNb2YsaaXu1gSaap8bVZGdY7kuj6xhAfYcZS5WLInnY/WJZKUrf8fIlJ7VCTVU+sTj5Ga68BuNTOyo2azExGRpsvdBa9DOHarmYz8Ej7bcISfdqRQ4FAXPBGpeepuVw9l5DtYc7yb3UXtw/H31rdJRESaNrPJRI/YYNpF+LMyIZPtx2fBS0gvYEDrULqrC56I1CC1JNUzTlf5bHYuA1qH+dExKsDTKYmIiNQbvjYrIzuVd8GLCLBTUuZi6fEueEfVBU9EaoiKpHpm3cEs0vMceFvNjOio2exEREQqEh3kw/V94xh+Uhe8zzcc4aft6oInIudP/bjqkbS8YtYdzAJgWIcI/Oz69oiIiJyJ2WSie2ww7SICWJlwfCHalPIueBe2DqFHbLC64IlItaglqZ44uZtd23B/2kf6ezolERGRBsHHVr4Q7fV94sq74DldLNubwdx1iRw9pi54IlJ1aqqoJ9YcyCQzvwQfLwvDO4arm51IA2e2WOgxZLR7u9JxJgs9Qke7t0Wk8qKCvLm+bxzbk3JZuS+DzPwSPt94hI5RAQxuG6YeGiJSafppUQ+k5BSz/tAxAIZ3CMfXpm+LSEPnZbNzy6OvVD3ObOeWDlWPE5FyZpOJbs2DaBvhz8p95V3wdqXksV9d8ESkCtTdzsPKnC5+2pGCYUD7SH/aRWo2OxERkfPl43W8C17fOCID/9cF76N1iaTkFns6PRGp51QkedjKhEyOFZbia7MwvEOEp9MRERFpVKICvbm+TxwXd4zA+/gseJ+sO8zS3emUlLk8nZ6I1FMqkjzoyLFCNh3OBmBkp0i8vTT+QKSxcBQVMv2SDky/pAOOosLKxzkLmb6yA9NXdsDhrHyciJyZyWSia/Mgbh7Qwr3+4OYj2by/+hD70/M9nJ2I1EcqkjykpMzFgh2pAHSJCaRVmJ+HMxIREWncfG1WRneJ4qqeMQR6W8l3lPHt1mTmbU0mX2srichJPFokLVu2jLFjxxITE4PJZOKrr746Zb9hGDz22GNER0fj4+PDyJEj2bt3r2eSrWHL96aTW1xGgLeVIe3CPJ2OiIhIk9Ei1I+bLmxB7xbNMJlgX3o+7686xNYj2RiG4en0RKQe8GiRVFBQQI8ePZg1a1aF+//+97/zyiuv8Oabb7JmzRr8/PwYPXo0xcUNe8BlSpGJbUm5AFzSORK7Vd3sRERE6pKXxczgtmH8rm+8e2KHn3en89mGI2TmOzydnoh4mEfnmh4zZgxjxoypcJ9hGLz00ks88sgjXHnllQC89957REZG8tVXX3HDDTfUZao1xuztz4as8i97z7hgYpv5ejgjERGRpis8wM51feLYeiSHlQkZJOcUM3dtIr1bNKNfqxCsZo1MEGmK6u3//AMHDpCSksLIkSPdrwUFBdG/f39WrVp1xjiHw0Fubu4pj/okZOTdFDtNNPP1YlCbUE+nIyIi0uSZTSZ6xgVz84UtaB3mh8uAdQeP8dGaw6TkNOzeKyJSPfW2SEpJSQEgMjLylNcjIyPd+yoyc+ZMgoKC3I+4uLhazbMqVh4uwq/LMMDgks5RWC319ssvIiLS5AR4e3FF92gu6xaFr81CVmEJn64/zIq9GZQ5NV24SFPi0e52tWHGjBlMnz7d/Tw3N7deFEoZ+Q7+vbG8VatDoIuoIG8PZyQitclssdCp30Xu7UrHmSx0Cr7IvS0idctkMtEuIoDYZr4s3ZPO7pQ8NiQeIyEjn1GdIokJ9vF0iiJSB+ptkRQVFQVAamoq0dHR7tdTU1Pp2bPnGePsdjt2u72206uyQG8vLmnty4c/b6ZzXLyn0xGRWuZls/P7p/9d9Tiznd93rnqciNQsHy8Ll3aJon2EP4t3pZFdWMpnG47QKy6YAW1C8VJvEJFGrd7+D2/VqhVRUVEsWrTI/Vpubi5r1qxhwIABHsysemxWMzd2CyDl/T9iNnk6GxEREamM1uH+3HRhCzpFly9Cu+lwNh+uSeTosSIPZyYitcmjLUn5+fns27fP/fzAgQNs3ryZkJAQ4uPjeeCBB3j66adp164drVq14tFHHyUmJoarrrrKc0mfL5fT0xmIiIhIFXh7WbikcxTtIwJYtCuNnKJSPt94hB6xQQxqG6ZWJZFGyKNF0vr16xk+fLj7+YmxRLfccgtz5szhz3/+MwUFBdx5551kZ2czePBgfvzxR7y9NZ5HROo3R1Ehj183EIAnPl1Z+ThnIY+vOx7XdyV2i5YJEKkvWob5cdOF8Szfm8H2pFy2HMnhQEYBIztFEhei/6sijYlHi6Rhw4addWVrk8nEk08+yZNPPlmHWYmI1IwSR/W645S41I1HpL6yWy2M7BRJuwh/Fu1KI7e4jC82HaV7bBCD1aok0mjof7KIiIhIFbUI9WNi/3i6Ng8EYOuRHI1VEmlEVCSJiIiIVIPdauHijpFc1TMGf7vVPVZp6Z50SrWukkiDpiJJRERE5Dy0CC0fq9QlprxVafPhbOauTSQ5R61KIg2ViiQRERGR83RirNKVPWLws1vK11Vaf4QVezMoU6uSSIOjIklERESkhrQM8+Om/i3oFBWAAWxIPMZHaw+T5dAiiSINiUdntxMRaaxMZjNtuvdzb1c6DjNtAvu5t0Wk4fH2snBJlyjaHp8BL6uwhJ8LrQQPuZlS55ln9RWR+kNFkohILbDZvZnyj/erHmfxZkrXqseJSP3TOtyf6GAflu5OZ3dqHkEDr+fBhRm8HpND1+ZBnk5PRM5Cf6YUERERqSU+XhYu7RrFhWGlOAuyScwp48pZv/DCgj2UlGmskkh9pSJJREREpJY19zVIevseBsR643QZvLJoL1fN+oUdSbmeTk1EKqAiSUSkFjiKCnn02gt59NoLcRQVVj7OWcijay/k0bUX4nBWPk5E6j9XUS4PDmzGq7/rRbCvFzuSc7ly1gpeXbRX6yqJ1DMqkkREaklBzjEKco5VPa7sGAVlVY8TkYZhbI8Yfpo2lFGdIyl1GvxzwR7Gv76SPal5nk5NRI5TkSQiIiJSxyICvPn3zb156fqeBPl48evRHK54ZQVvLEnQukoi9YCKJBEREREPMJlMXNWrOT9NG8qIjhGUOF089+MurnlzFfvS8j2dnkiTpiJJRERExIMiA715+5Y+PH9NdwLsVjYfzuayV5bz1rL9OF1aV0nEE1QkiYiIiHiYyWTi2j5x/DR9KEPbh1NS5uKZ73dy/b9WcSCjwNPpiTQ5KpJERERE6onoIB/eva0vz47vhr/dyvpDxxjz8jJm/3IAl1qVROqMiiQRkVpgMpuJa9+VuPZdMZkr/6PWhJk4v67E+XXFpB/RIk2SyWTihn7x/PjAEAa2CaW41MUT3+7ghrdWk5ippQFE6oLV0wmIiDRGNrs30177b9XjLN5M61H1OBFpfGKb+fLB7f35cG0iM7/fydoDWVz68jJmjOnIxP4tMJtNnk5RpNHSnylFRERE6imz2cTNF7bgx/uH0r9VCIUlTh79ejvX/msVu1O0rpJIbVGRJCIiIlLPxYf68tHvL+RvYzvjZ7Ow4dAxLn9lOc/9uIuiEqen0xNpdFQkiYjUgpLiIp66eQRP3TyCkuKiysc5i3hqwwie2jCCEmfl40Sk8TObTdw6qBULpl/EJZ0jKXMZvLEkgUteWsqS3WmeTk+kUVGRJCJSCwzD4FjqUY6lHsUwKj8jlYHBMcdRjjmOYqCZrETkdDHBPvx7Uh/+fXNvooO8OZxVxK2z13Hv3I2k5RZ7Oj2RRkFFkoiIiEgDdEmXKBZMv4jbB7fCbILvtiZz8T+X8vaKA5Q6XZ5OT6RBU5EkIiIi0kD52608ekVnvrl3MN1jg8hzlPHUdzsY8/Jylu1J93R6Ig2WiiQRERGRBq5r8yC+vGcQM8d3I8TPxr60fCa9s5Y73l3PwYwCT6cn0uCoSBIRERFpBCxmE7/rF8/PfxrG5EGtsJpNLNyZyiUvLuPZH3aR7yjzdIoiDYaKJBEREZFGJMjHi8fGdubHB4YwtH04JU4Xby5NYMQ/ljB3TaLGK4lUgookEZFaYDKZiGzRlsgWbTGZTJWPw0SkT1sifdpiovJxIiK/1TYigHdv68t/JvWhRagvaXkO/vrlr1zy4jK+25qEy6UZNEXOxOrpBEREGiObtw8PvTWv6nEWHx7qVfU4EZGKmEwmRnaOZEj7MOauSeS1xfs4kFHAvXM30bV5An8e3ZEh7cKq9McckaagXrck/e1vf8NkMp3y6Nixo6fTEhEREWlQ7FYLtw1qxdI/D2fayPb4261sO5rLpHfWcuNba9iUeMzTKYrUK/W6SALo0qULycnJ7seKFSs8nZKIiIhIg+Rvt3L/yHYsfXAYtw9uhc1iZtX+TK5+fSWT3lnLmv2ZVVoAW6Sxqvfd7axWK1FRUZ5OQ0SkSkqKi3hx6jUATHv188rHOYt4cevxuO6fY7P41Ep+ItK0hfrbefSKzkwe3IoXF+zhi41HWLYnnWV70unTohn3DG/D8A4R6oYnTVa9L5L27t1LTEwM3t7eDBgwgJkzZxIfH3/G4x0OBw6Hw/08Nze3LtIUETmFYRikHtrn3q50HAapRfvc2yLSuOzcudPTKZzmxjYwIjKcr3YVsPhgIesPHWPynPW0DLYyvqM/A2K9sZjPv1gKCws762c4kfqkXhdJ/fv3Z86cOXTo0IHk5GSeeOIJhgwZwrZt2wgICKgwZubMmTzxxBN1nKmIiIjImeVmpQNw0003eTiTs7P4hxDQ50oCeo7hYLYvL6zOpjQribwN35C/bTFGSWG1z+3j68uunTtVKEmDUK+LpDFjxri3u3fvTv/+/WnRogWffvopt99+e4UxM2bMYPr06e7nubm5xMXF1XquIiIiImdSlF/es+Xyux6mQ/feHs7m3EqckJBfxr48C4TEEDLqbsIvuYt4Pxdt/F0E2arW0p2amMCHzz1IRkaGiiRpEOp1kfRbwcHBtG/fnn379p3xGLvdjt1ur8OsRERERConNKYFse26eDqNSmkNDHO62JGcy9YjOWQVlHAg38KBfAsxQd50jw2mbYR/jXTFE6lvGlSRlJ+fT0JCAjfffLOnUxERERFp9LwsZnrEBtO9eRBHs4vYeiSHhPR8knKKScpJwXevhY5RAXSMCiTM36aJHqTRqNdF0p/+9CfGjh1LixYtSEpK4vHHH8disfC73/3O06mJiIiINBkmk4nYZr7ENvMl31HGtqM5bDuaQ0GJk42J2WxMzCbUz0aHqAA6RAUQ6O3l6ZRFzku9LpKOHDnC7373OzIzMwkPD2fw4MGsXr2a8PBwT6cmInJWJpOJZpHN3duVjsNEM3tz97aISH3jb7dyYetQ+rYM4WBmAbuS8ziQUUBmQQkrEzJZmZBJ82AfOkYF0CbCHx8vi6dTFqmyel0kffzxx55OQUSkWmzePjz6/uKqx1l8eLR31eNEROqaxWyiTbg/bcL9cZQ62ZuWz+6UPI5kF3H0+GPxrjRign0IwYw1ONrTKYtUWr0ukkRERESk/rN7WejaPIiuzYPILS5lT0oeu1PzyMgvKS+YsNL8rre46+sjDN6aS98Yb9qFeDWpSR+0TlTDoiJJRERERGpMoLcXfVqG0KdlCLlFpezPKODXhMNkllhJd1j5clcBX+4qwFmcjyPxV4oPbaH40BZKMw97OvVapXWiGhYVSSIitaDEUcysP04EYMo/P6x8nLOYWduOx3X9EJvFu1byExGpC4E+XvSMC8a5ZxlzX/0bA3//FKbwNqQUmcHbH9/2A/BtPwAAu9kgwttFuLdBmN2FvxUay2R5Wieq4VGRJCJSCwyXi8N7trm3Kx2Hi8MF29zbIiKNheEooE24Pz0HdMTlMkjLc3D4WCGHjxWSlF2MwwWHCy0cLiw/3tvLTFSgN9FBPkQFeRMZaMdu1SQQUjdUJImIiIhInTKbTUQFeRMV5E3fliGUOV2k5BZzOKuIw8cKSctzUFzq4mBmIQczC91xof42IgO8iQiwEx5gJ8zfjs1q9uA7kcZKRZKIiIiIeJTVYnavwzSAUMpcLjLySkjOKSIlt5jknGLyisvIzC8hM7+EHcn/i23m60X48aIp3N9OqJ8dP7tFC9vKeVGRJCIiIiL1itVsdrc0nVDgKCM5p5i0vGLS8xyk5zkoKHFyrLCUY4Wl7EnNdx9rt5oJ8bMR6mcj1N9OqJ+NED8bvjYVT1I5KpJEREREpN7zs1tpG+FP2wh/92sFjjLS8x3uoikj30F2USmOMhfJOeUtUCfz8bK4i6cQfxshviqepGIqkkRERESkQfKzW/GzW2kZ6ud+rczl4lhBKZkFDrIKyrvnZRaUkFNUSlGp073Q7cm8rWaanSieTnr4260qnpooFUkiIrXEL6hZ9eKs1YsTEZHyrnonxiidrNTp4lhBecGUWVBC1vFHTlEpxWdoebJZzDTz8/pf4XS85SnQxwuziqdGTUWSiEgtsPv48tRnq6seZ/HlqX5VjxMRkbPzspiJCPQmIvDU9efKnC6OFZa6i6YTj+yiEkqcLlJzHaTmOk6JsZhNNPP1Ot51z04zPy9C/ewE+XhhMat4agxUJImIiIhIk2W1VNzy5HQZ5BSVd9s7ufvescJSnC6DjPwSMvJLgP9NGGE2QbDv/1qcTjycRh2/KTlvKpJERERERH7DYja5i5yTuQyD3KLjLU+Fp7Y+lToN9zbpJ0d5EfP7f/N/K7Lok7qLdhH+dIgKoG2EP95eWiC3PlKRJCJSC0ocxbz18O8B+P0zb1U+zlnMWzuPx3V6C5vF+xwRIiJSl8wmE8G+NoJ9bbQ+6XXDMMh3lJ1SNJ0Y++Qoc+EVEsP6JAfrkxLcMRazidZhfnSMDqRjVACdogPoGBVIdJC3JozwMBVJIiK1wHC5SNi61r1d6ThcJOSudW+LiEjDYDKZCPD2IsDbixYnzbZnGAYJu3fw9j8e59HnZ+GwN2NPah67UvLILixlb1o+e9Py+XbL/84V6G2lY1QgHY8XTR2jA+gQGYCfXR/d64q+0iIiIiIitcRkMuFtAUfir4xp68cFF3QFyountDwHO5Nz2ZWSx67j/+5Lyye3uIy1B7NYezDrlHO1CPWlY1R54XSi1Sk+xBezJouocSqSRERERETqmMlkIjLQm8hAb4Z1iHC/XlLmIiE9n10puexKzmPn8QIqLc/BocxCDmUWMn97qvt4Hy8LHaICjhdPAXSIKu+61+w3Y6mkalQkiYiIiIjUEzarmU7RgXSKDoRe/3s9M9/B7pT/FU27UvLYk5pHUamTzYez2Xw4+5TzRATY3WOdOkQGaKKIKlKRJCIiIiJSz4X62xnY1s7AtmHu18qcLg5mFpYXT8cLp92puRzOKiItz0FaXjrL9vxvmj2L2USrML/ylqfjhVOn6ECaB/uoy95vqEgSEREREWmArBYzbSP8aRvhz+Xdo92v5zvK2J2Sd/xxfMxTSh45RaXsS8tnX1o+80h2H+9ns9D+RHe9yADaRZa3OkUE2JvsLHsqkkREaonN7lO9OHP14kRERAD87VZ6t2hG7xbN3K8ZhkFqroNdKbnsPl407UrJIyEtn4ISJ5sSs9mUmH3KeQK8rbQJLy/C2h0vxtpG+BPbzBdLI295UpEkIlIL7D6+PPvt5qrHWXx59sKqx4mIiJyNyWQiKsibqKBTJ4oodbo4mFFwvGjKZXdKPgnp+RzKLCCvuKzC8U52q5lWYX7uoqm8iAqgRahvoxnzpCJJRERERKSJ8rKYaXe8i93YHjHu1x1lTg5mFLq75+1NK5+efH9GAY4yl7sl6mQmE8QE+dAqzI+WYb60CvOn1fF/Y5v54GUx1/XbqzYVSSIiIiIidWDnzp2eTqHKooHoEBgSAnT0x+nyI73QyZHcsv898sr/LSw1OJpdxNHsIlbsO/U8nSN9+H7aCE+8hWpRkSQiUgtKSxzMeXIqALc+9mrl41wO5uw6HtfxVbzM9lrJT0RE6k5uVvkMczfddJOHM6ldZt8gvJrFYG0Wg1dI8/J/jz/fuGw5iRPaEh8f7+k0K0VFkohILXA5nexcu9S9Xek4w8nO7KXubRERafiK8nMBuPyuh+nQvbeHs6l7KYkJfDTvJTIevU5FkoiIiIiI/E9oTAti23XxdBoeYZQ6PJ1ClTSc0VMiIiIiIiJ1oEEUSbNmzaJly5Z4e3vTv39/1q5d6+mURERERESkkar3RdInn3zC9OnTefzxx9m4cSM9evRg9OjRpKWleTo1ERERERFphOp9kfTCCy/w+9//nttuu43OnTvz5ptv4uvryzvvvOPp1EREREREpBGq1xM3lJSUsGHDBmbMmOF+zWw2M3LkSFatWlVhjMPhwOH438CwnJwcAHJzc2s32UrIz88H4Mje7TiKCj2cTd1LTUwAIOXgHhL8fD2cTd3T+29a77+spNi9fXD7hkq//zKjGI6HHty2AavJu1bzrCtN7fv/W3r/Tfv9g74Gev9N+/2nHzkAlH8W9vRn8hPXNwzjrMeZjHMd4UFJSUk0b96clStXMmDAAPfrf/7zn1m6dClr1qw5LeZvf/sbTzzxRF2mKSIiIiIiDcjhw4eJjY094/563ZJUHTNmzGD69Onu5y6Xi6ysLEJDQzGZTB7MTBqL3Nxc4uLiOHz4MIGBgZ5ORxoh3WNS23SPSW3S/SW17XzuMcMwyMvLIyYm5qzH1esiKSwsDIvFQmpq6imvp6amEhUVVWGM3W7Hbj91hfrg4ODaSlGasMDAQP3wl1qle0xqm+4xqU26v6S2VfceCwoKOucx9XriBpvNRu/evVm0aJH7NZfLxaJFi07pficiIiIiIlJT6nVLEsD06dO55ZZb6NOnD/369eOll16ioKCA2267zdOpiYiIiIhII1Tvi6Trr7+e9PR0HnvsMVJSUujZsyc//vgjkZGRnk5Nmii73c7jjz9+WrdOkZqie0xqm+4xqU26v6S21cU9Vq9ntxMREREREalr9XpMkoiIiIiISF1TkSQiIiIiInISFUkiIiIiIiInUZEkIiIiIiJyEhVJIhVwOp08+uijtGrVCh8fH9q0acNTTz3FyfOcGIbBY489RnR0ND4+PowcOZK9e/d6MGupz5YtW8bYsWOJiYnBZDLx1VdfnbK/MvdTVlYWEydOJDAwkODgYG6//Xby8/Pr8F1IfXa2e6y0tJSHHnqIbt264efnR0xMDJMmTSIpKemUc+gek7M518+xk919992YTCZeeumlU17XPSZnU5l7bOfOnYwbN46goCD8/Pzo27cviYmJ7v3FxcVMmTKF0NBQ/P39mTBhAqmpqVXORUWSSAWee+453njjDV577TV27tzJc889x9///ndeffVV9zF///vfeeWVV3jzzTdZs2YNfn5+jB49muLiYg9mLvVVQUEBPXr0YNasWRXur8z9NHHiRLZv386CBQv47rvvWLZsGXfeeWddvQWp5852jxUWFrJx40YeffRRNm7cyBdffMHu3bsZN27cKcfpHpOzOdfPsRO+/PJLVq9eTUxMzGn7dI/J2ZzrHktISGDw4MF07NiRJUuWsHXrVh599FG8vb3dx0ybNo1vv/2Wzz77jKVLl5KUlMT48eOrnowhIqe5/PLLjcmTJ5/y2vjx442JEycahmEYLpfLiIqKMp5//nn3/uzsbMNutxsfffRRneYqDQ9gfPnll+7nlbmfduzYYQDGunXr3Mf88MMPhslkMo4ePVpnuUvD8Nt7rCJr1641AOPQoUOGYegek6o50z125MgRo3nz5sa2bduMFi1aGC+++KJ7n+4xqYqK7rHrr7/euOmmm84Yk52dbXh5eRmfffaZ+7WdO3cagLFq1aoqXV8tSSIVGDhwIIsWLWLPnj0AbNmyhRUrVjBmzBgADhw4QEpKCiNHjnTHBAUF0b9/f1atWuWRnKXhqsz9tGrVKoKDg+nTp4/7mJEjR2I2m1mzZk2d5ywNX05ODiaTieDgYED3mJw/l8vFzTffzIMPPkiXLl1O2697TM6Hy+Vi3rx5tG/fntGjRxMREUH//v1P6ZK3YcMGSktLT/l92rFjR+Lj46v8+UxFkkgF/vKXv3DDDTfQsWNHvLy86NWrFw888AATJ04EICUlBYDIyMhT4iIjI937RCqrMvdTSkoKERERp+y3Wq2EhITonpMqKy4u5qGHHuJ3v/sdgYGBgO4xOX/PPfccVquV++67r8L9usfkfKSlpZGfn8+zzz7LpZdeyk8//cTVV1/N+PHjWbp0KVB+j9lsNvcff06ozucza00lLtKYfPrpp3z44YfMnTuXLl26sHnzZh544AFiYmK45ZZbPJ2eiEi1lZaWct1112EYBm+88Yan05FGYsOGDbz88sts3LgRk8nk6XSkEXK5XABceeWVTJs2DYCePXuycuVK3nzzTS666KIavZ5akkQq8OCDD7pbk7p168bNN9/MtGnTmDlzJgBRUVEAp82Wkpqa6t4nUlmVuZ+ioqJIS0s7ZX9ZWRlZWVm656TSThRIhw4dYsGCBe5WJNA9Judn+fLlpKWlER8fj9VqxWq1cujQIf74xz/SsmVLQPeYnJ+wsDCsViudO3c+5fVOnTq5Z7eLioqipKSE7OzsU46pzuczFUkiFSgsLMRsPvW/h8Vicf8Vo1WrVkRFRbFo0SL3/tzcXNasWcOAAQPqNFdp+CpzPw0YMIDs7Gw2bNjgPmbx4sW4XC769+9f5zlLw3OiQNq7dy8LFy4kNDT0lP26x+R83HzzzWzdupXNmze7HzExMTz44IPMnz8f0D0m58dms/1/O3fskkwcx3H842CJhNAtlcNFYUQ4OEhgSyAuLoJBUE1S0SJJITSJW63NLv4PQQ1t9hdk60UgtDS5VBAi9X2GB+TyCc3JeHq/4IbzjuMnfPjpB3730+rqqjzP+/T5/f295ufnJUnJZFLBYPDT76nneXp8fBz5/xnL7YAv5HI5nZ2dyXVdxeNxNZtNnZ+fa29vT5IUCAR0fHys09NTLS0taWFhQdVqVdFoVPl8fryDx4/0+vqqh4eH3nmr1dLd3Z0cx5HrukPztLKyomw2q4ODA9VqNXW7XR0eHmp7e/vLbXbx+wzK2NzcnDY3N3V7e6urqyu9v7/31uc7jqOJiQkyhqGGzWP9xTsYDGp2dlbLy8uSmMcw3LCMnZycaGtrS+vr60qn07q+vtbl5aVubm4k/d30aH9/X+VyWY7jKBKJqFQqaW1tTalUarTBjLQXHvBLPD8/29HRkbmua6FQyBYXF61SqVin0+nd8/HxYdVq1WZmZmxyctIymYx5njfGUeMnazQaJumfo1AomNn38tRut21nZ8empqYsEonY7u6uvby8jOHb4CcalLFWq/XlNUnWaDR6zyBjGGTYPNavfwtwMzKGwb6TsXq9brFYzEKhkCUSCbu4uPj0jLe3NysWizY9PW3hcNg2Njbs6elp5LEEzMxGrnkAAAAA8J/inSQAAAAA8KEkAQAAAIAPJQkAAAAAfChJAAAAAOBDSQIAAAAAH0oSAAAAAPhQkgAAAADAh5IEAAAAAD6UJAAAAADwoSQBAAAAgA8lCQAAAAB8KEkAAAAA4PMHLzaNtaeW1/wAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "sns.histplot(final_avg_perf,kde=True)\n",
    "plt.axvline(np.mean(final_avg_perf), color='k', linestyle='--')\n",
    "plt.axvline(100, color='g', linestyle='--')\n",
    "plt.title('Avg: $%s\\nSD: $%s'%(round(np.mean(final_avg_perf),2), round(np.std(final_avg_perf),2)), fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1832cdb8",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Observation:\n",
    "\n",
    "The bot didn't do well with a random buying model. In fact, we lost money of our initial investment of 100 dollars. In addition, the high variability (SD of 20) represents too much risk from a business perspective."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb43ebe5",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Model 2: ARIMA(1,1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "9e80eb05",
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 71/71 [00:05<00:00, 12.44it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "101.45097609862214"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_simulation(dfs[0]['returns'], dfs[0]['close'], 100, (1,1,1), 1, 1, 0.001, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10ce1c16",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Observation:\n",
    "\n",
    "Success ! We managed to make a profit of our initial investment. The model seems to produce good results. However, this is cruelly misleading as any unexpected variations in the signal (such as covid) would severally impede the model's performance."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env_name",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}