{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exponential smoothing\n",
    "\n",
    "Let us consider chapter 7 of the excellent treatise on the subject of Exponential Smoothing By Hyndman and Athanasopoulos [1].\n",
    "We will work through all the examples in the chapter as they unfold.\n",
    "\n",
    "[1] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.](https://www.otexts.org/fpp/7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading data\n",
    "\n",
    "First we load some data. We have included the R data in the notebook for expedience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.020317Z",
     "start_time": "2017-12-07T12:39:14.263100Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n",
    "%matplotlib inline\n",
    "\n",
    "data = [446.6565,  454.4733,  455.663 ,  423.6322,  456.2713,  440.5881, 425.3325,  485.1494,  506.0482,  526.792 ,  514.2689,  494.211 ]\n",
    "index= pd.date_range(start='1996', end='2008', freq='A')\n",
    "oildata = pd.Series(data, index)\n",
    "\n",
    "data = [17.5534,  21.86  ,  23.8866,  26.9293,  26.8885,  28.8314, 30.0751,  30.9535,  30.1857,  31.5797,  32.5776,  33.4774, 39.0216,  41.3864,  41.5966]\n",
    "index= pd.date_range(start='1990', end='2005', freq='A')\n",
    "air = pd.Series(data, index)\n",
    "\n",
    "data = [263.9177,  268.3072,  260.6626,  266.6394,  277.5158,  283.834 , 290.309 ,  292.4742,  300.8307,  309.2867,  318.3311,  329.3724, 338.884 ,  339.2441,  328.6006,  314.2554,  314.4597,  321.4138, 329.7893,  346.3852,  352.2979,  348.3705,  417.5629,  417.1236, 417.7495,  412.2339,  411.9468,  394.6971,  401.4993,  408.2705, 414.2428]\n",
    "index= pd.date_range(start='1970', end='2001', freq='A')\n",
    "livestock2 = pd.Series(data, index)\n",
    "\n",
    "data = [407.9979 ,  403.4608,  413.8249,  428.105 ,  445.3387,  452.9942, 455.7402]\n",
    "index= pd.date_range(start='2001', end='2008', freq='A')\n",
    "livestock3 = pd.Series(data, index)\n",
    "\n",
    "data = [41.7275,  24.0418,  32.3281,  37.3287,  46.2132,  29.3463, 36.4829,  42.9777,  48.9015,  31.1802,  37.7179,  40.4202, 51.2069,  31.8872,  40.9783,  43.7725,  55.5586,  33.8509, 42.0764,  45.6423,  59.7668,  35.1919,  44.3197,  47.9137]\n",
    "index= pd.date_range(start='2005', end='2010-Q4', freq='QS-OCT')\n",
    "aust = pd.Series(data, index)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Exponential Smoothing\n",
    "Lets use Simple Exponential Smoothing to forecast the below oil data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.189907Z",
     "start_time": "2017-12-07T12:39:15.022229Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEGCAYAAACKB4k+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAA3NUlEQVR4nO3deXhU1fnA8e+bFQIhYd8CBEgAAVkji2BlKa64L0XF4q4IiNrW1tr+tIvdbK0LolIVFxBEK67V1qpYE0C2sCNkIOwIJGyBkHXe3x9zE4MGMsDM3Jnk/TxPnrlz5y7vIeG+c+655xxRVYwxxhiAKLcDMMYYEz4sKRhjjKlkScEYY0wlSwrGGGMqWVIwxhhTKcbtAE5Hs2bNNDU11e0wjDEmoixdujRPVZtX91lEJ4XU1FSWLFnidhjGGBNRRGTL8T6z20fGGGMqWVIwxhhTyZKCMcaYSpYUjDHGVLKkYIwxppIlBWOMMZUsKRhjjKlkScEYU2dt21fIm0u2Ue61KQQqRHTnNWOMOVWHi8sYN30Rm/Ye4f2Vu3hqTB+SE+LcDst1VlMwxtQ5qsrP/7mSzXlHuG1oRxZuzOeSKZms2XnQ7dBcZ0nBGFPnvLpgCx+u3MVPz+/Kr0Z35407B1Faplw5dT5zs7e7HZ6rLCkYY+qU7K37+f2HaxnZrQV3/aAzAH3bN+aDe4bSt30y972xgkfeW0NJmdflSN1hScEYU2fsP1LChJnLaNmoHn+7tjdRUVL5WbOG8cy4dSC3n9ORl+dv5vp/LGTPoSIXo3WHJQVjTJ3g9Sr3vrGcvMMlTL2hX7WNyjHRUTx0cXeevq4va3Ye4uKnM1myeZ8L0brHkoIxpk545nMPX2zYy/9d0p1eKckn3PaS3m14Z8IQGsRFM2baQl5dsBnVuvHYqiUFY0ytl5mTx+P/3cDlfdpww8D2fu3TtVUi704cyrCuzfm/d9fwkzdXUFRaHuRI3WdJwRhTq31zsIjJs7NJa96QR684ExGpeSdHUv1Ypt2Ywf2jujA3ewdXTp3Ptn2FQYzWfZYUjDG1Vmm5l4mvL+NoaTnPju1Hg/iT768bFSXcMzKdl8adxfb9hYx+OpMvNuwNQrThIahJQUQ2i8gqEVkuIkucdY+JyNcislJE5opIcpXtHxQRj4isF5HzgxmbMab2+8vHX7Nky37+dFUv0lokntaxhndrwfuThtI6qR43TV/EM5978NbC4TFCUVMYrqp9VDXDef8J0FNVewEbgAcBRKQ7MAboAVwATBWR6BDEZ4yphT5evYt/fJnLjwd34NLebQJyzA5NGzD37iFc2rsNj/17PXfNWEpBUWlAjh0uQn77SFX/o6plztuFQIqzfBkwW1WLVTUX8AADQh2fMSbybc47ws/eXEnvlCQeuviMgB67flw0T/yoDw9f0p1Pv97DZVOyyNldENBzuCnYSUGB/4jIUhG5o5rPbwE+cpbbAtuqfLbdWXcMEblDRJaIyJK9e2vvfT1jzKkpKi1n/MxlREUJz9zQj/iYwN9wEBFuHtKR128byKGiMi5/JouPVu0K+HncEOykMERV+wEXAhNE5AcVH4jIQ0AZMLNiVTX7f++GnapOU9UMVc1o3rx5MGI2xkSwh99dw7pdh3jiR31IaZwQ1HMN7NSUDyYNpUurRMbPXMYfP1pHWXlkD48R1KSgqjud1z3AXJzbQSIyDhgN3KDf9gjZDrSrsnsKsDOY8Rljapc5S7bxxpJtTByexvBuLUJyzlZJ9XjjjsHcOKgDz3+xiXHTF5F/uDgk5w6GoCUFEWkgIokVy8B5wGoRuQD4OXCpqlZ94Pc9YIyIxItIRyAdWBSs+IwxtcvanYf49TurObtzU+4b1SWk546LieJ3l/fksat7sXjzfi6dksXK7QdCGkOgBLOm0BLIFJEV+C7uH6rqx8AUIBH4xHlU9TkAVV0DzAHWAh8DE1S19ncfNMactkNFpdw9cylJ9WN5ckxfoqP876AWSNdktOOfd50NwNXPLWDO4m017BF+JJLH88jIyNAlS5a4HYYxxkWqyt0zl/GftbuZdfsgBnRs4nZI7DtSwj2zssn05HH9wPY8fEn3oDR4nyoRWVqlm8AxrEezMSaivZS1mY9Wf8PPL+gaFgkBoEmDOF65ZQDjh3Xm9a+28qPnF7Lr4FG3w/KLJQVjTMRaumUff/zXOs7r3pLbz+nkdjjHiI4Sfn5BN54b24+c3QVc8nQmCzflux1WjSwpGGMiUv7hYibMzKZNcn0eu6b3SQ10F0oX9GzNuxOHkFQ/lhte+IoXvtwU1sNwW1IwxkSccmfCnH2FvglzkurHuh3SCaW1SOSdCUP44Rkt+P2H67hn9nIKS8pq3tEFlhSMMRHnqU9z+DInj99e2oOebZPcDscvifVieW5sfx64oCsfrtzJFc/MZ/v+8BuG25KCMSaifLFhL099lsNV/VL40Vntat4hjIgIdw9L45VbBrDz4FFuf3UpR0vC68l7SwrGmIix48BR7p2dTdeWifz+8p5h245Qk3PSm/P0dX35+ptD/OLtlWHVxmBJwRgTEUrKvEyYuYzScmXqDf2oHxc+z/2fimFdW/CTUV14d/lOXsra7HY4lSwpGGMiwh/+tY7l2w7w56t60al5Q7fDCYi7h6VxXveW/OFf68LmcVVLCsaYsPfByp28PH8zNw9J5eJerd0OJ2CiooS/XdubDk0TmPj6srDo4GZJwRgT1jbuPczP31pJ3/bJPHhhYCfMCQeJ9WKZdmN/jpaUc9eMZRSXudvwbEnBGBO2CkvKGD9jKXExUTxzfT/iYmrnJSutRSJ/u7YPK7Yd4JH31rgaS+38FzbGRDxV5VdzV5Oz5zBPjOlLm+T6bocUVBf0bMWE4Z2ZtWgbsxZtdS0OSwrGmLA0e/E23s7ewT0j0jm3S92YZfH+UV35QZfmPPzuGrK37nclBksKxpiws3rHQR5+bw3npDfjnpHpbocTMtFRwlNj+tAyKZ7xM5axtyD0M7hZUjDGhJWDhaWMn7mUJglxPPGjPq5NmOOW5IQ4nh+bwYGjJUx4fRmlIZ7z2ZKCMSZsqCo/eXMFuw4U8cwNfWnaMN7tkFzRvU0j/nRlLxbl7uMP/1oX0nPHhPRsxhhzAtP+t4n/rtvNr0d3p3+H8Jgwxy2X923Liu0HmJ61mV4pSVzRNyUk57WagjEmLHy1KZ+//Hs9F/ZsxS1DUt0OJyz88qIzGNixCQ++vYo1Ow+G5JyWFIwxrttTUMTEWdm0b5LAX67uFbED3QVabHQUU67vR3L9OO6asZQDhSVBP6clBWOMq8q9yuRZyzl0tJSpN/QjsV54T5gTas0T43l2bD92Hyxm0qxsyr3BHVHVkoIxxlV//2QDCzbl8/vLe3JG60ZuhxOW+rZvzG8u68GXOXn87T/rg3ouSwrGGNd8vn4PUz73cG1GCtdkRNaEOaF23YD2XDegHVPnbeTj1buCdh5LCsYYV+w8cJT731hOt1aJ/ObSnm6HExEeubQHvdsl85M5K/DsKQjKOSwpGGNCrqTMy4TXl1FS5q0VE+aESnxMNM+N9f173fHaUgqKSgN+Dr+Tgog0FpEeItJJRCyZGGNO2Z8//prsrQf489W1Z8KcUGmdVJ8p1/djS34h989ZgTfADc8nvLiLSJKI/FJEVgELgeeBOcAWEXlTRIYHNBpjTK338epdvJiZy7jBHRjdq43b4USkQZ2a8tBFZ/DJ2t1MnecJ6LFr6tH8FvAqcI6qHqj6gYj0B24UkU6q+mJAozLG1Epb8o/wszdX0jsliV9eXPsmzAmlm4eksmL7Af72yQZ6tE1ieNcWATnuCZOCqo46wWdLgaUBicIYU+sVlZZz98xlREUJU67vR3yMtSOcDhHhT1f2YsPuw0yelc37k4bSoWmD0z6uX20DIjJERBo4y2NF5HER6eDHfptFZJWILBeRJc66JiLyiYjkOK+Nq2z/oIh4RGS9iJx/qoUyxoSf336wljU7D/H4tb1p1yTB7XBqhfpx0Tw/tj8iwp2vLaWwpOy0j+lvg/GzQKGI9AYeALbgu63kj+Gq2kdVM5z3vwA+VdV04FPnPSLSHRgD9AAuAKaKiH2VMKYWeCd7B69/tZU7z+3EyDNauh1OrdK+aQJPjunD+t0F/OKfq1A9vYZnf5NCmfrOdBnwpKo+CSSe4jkvA15xll8BLq+yfraqFqtqLuABBpziOYwxYSJndwEPvr2KAalN+Nl5Xd0Op1Ya1rUFPz2vK++t2MmLmbmndSx/k0KBiDwI3Ah86HyD92eAEgX+IyJLReQOZ11LVd0F4LxWtI60BbZV2Xe7s84YE6EKS8q4e+YyEuKiefr6vsRE29PswXL3sM6c36Mlf/zoaxZszD/l4/j7G/oRUAzcoqrf4LtYP+bHfkNUtR9wITBBRH5wgm2rGxbxe/UgEblDRJaIyJK9e/f6EYIxxg2qykNzV+PZe5gnx/SlZaN6bodUq4kIf72mN6lNE5j4+jJ2Hjh6SsfxKyk4ieCfQMU0SHnAXD/22+m87nG2HwDsFpHWAM7rHmfz7UDVwU9SgJ3VHHOaqmaoakbz5nVjMm9jItHsxduYm72De0d2YWh6M7fDqRMS68Xy/I0ZFJd5GT9jKUWl5Sd9DH+fProdX5+F551VbYF3atingYgkViwD5wGrgfeAcc5m44B3neX3gDEiEi8iHYF0YJHfJTHGhI3VOw7y8HtrOCe9GRNHpLkdTp2S1qIhf7u2Nyu2H+Thd9ecdMOzv9NxTsD3Lf8rAFXNEZGaekq0BOY6k2XEAK+r6scishiYIyK3AluBa5xjrhGROcBaoAyYoKonn+aMMa46VFTKhNeX0SQhjid+1IfoKJswJ9TO79GKicPTmPK5h97tkrl+YHu/9/U3KRSraknFbEgiEkM19/urUtVNQO9q1ucDI4+zz6PAo37GZIwJM6rKA2+uZPv+o8y+YxBNG8bXvJMJivtGdWHljoM8/N5qurVOpF/7xjXvhP8NzV+IyC+B+iIyCngTeP8UYzXG1FLTszbz8Zpv+PkFXTkrtYnb4dRp0VHCU2P60DqpPuNnLGVPQZFf+/mbFH4B7AVWAXcC/wJ+dUqRGmNqpWVb9/OHf61jVPeW3H5OJ7fDMUByQhzPje3PwaOlTJyZTWm5t8Z9/H36yKuq/1DVa1T1amc5uBOFGmMixv4jJUycuYxWSfX469W9qbjVbNzXvU0j/nxVLxZt3sejH66rcXu/2hREZAjwCNDB2UcAVVX7OmBMHef1KvfNWU7e4RLeGj+YpAR/+rWaULqsT1tWbDvIS1m59G6XdMJt/W1ofhG4D9+oqPZEkDGm0rNfbGTe+r387rIe9EpJdjsccxwPXtSNNTsP8ot/rjrhdv62KRxU1Y9UdY+q5lf8nH6YxphItmBjPn/7z3ou6d2GsYNqHDjZuCg2OopnbuhH44S4E27nb1L4XEQeE5HBItKv4uf0wzTGRKo9BUVMmpVNarMG/PHKM60dIQI0axjPczf2P+E2/t4+Gui8ZlRZp8CIU4jLGBPhyr3KPbOyOVxcyszbBtIw3t9LiXFbn3bJJ/zcr9+kqtpczMaYSn//ZAMLN+3jr9f0pmurUx1F34Qjf58+igeuAlKr7qOqvw1OWMaYcPX5+j1M+dzDtRkpXN0/xe1wTID5W+d7FziI7+mj4uCFY4wJZzsPHOW+N5bTrVUiv72sp9vhmCDwNymkqOoFQY3EGBPWSsq8THh9GWXlytQb+lEv1mbLrY38ffpovoicGdRIjDFh7c8ff0321gP8+apedGre0O1wTJD4W1MYCtwkIrn4bh9V9GjuFbTIjDFh4+PVu3gxM5ebzk7l4l6t3Q7HBJG/SeHCoEZhjAlbW/KP8LM3V9I7JYkHL+rmdjgmyPwdEG8LkAxc4vwkO+uMMbVYUWk5d89cRlSUMOX6fsTHWDtCbefvdJyTgZlAC+dnhohMCmZgxhj3/eb9tazZeYjHr+1NuyYJbodjQsDf20e3AgNV9QiAiPwZWAA8HazAjDHumpu9nVmLtnLXuZ0ZeUZLt8MxIeLv00fCsaOjljvrjDG1UM7uAn759moGpDbhp+d1cTscE0L+1hSmA1+JyFzn/eXAS0GJyBjjqsKSMsbPXEaD+Gievr4vMdH+fnc0tYG/Yx89LiLz8D2aKsDNqpodzMCMMaGnqjw0dzUb9x5mxq0DadmontshmRDzd+yj11T1RmBZNeuMMbXE7MXbmJu9g/t+2IUhac3cDse4wN96YY+qb0QkGjjxoNzGmIiSs7uAh99bwznpzZg0Is3tcIxLTpgURORBESkAeonIIeenANiDb5A8Y0wt8c7yHZR7lb//qA9RUfYcSV11wqSgqn9U1UTgMVVt5PwkqmpTVX0wRDEaY0Ig05NP33bJNGsY73YoxkX+9mi2BGBMLXawsJRV2w9YO4Lxu03BGFOLLdiUj1dhaLolhbqupjaFjqEKxBjjnixPHg3iomucv9fUfjXVFN4CEJFPQxCLMcYlWZ48BnZqSqx1VKvzauqnECUiDwNdROT+736oqo8HJyxjTKjsOHCUTXlHuGFQB7dDMWGgpq8FY4AifMkjsZqfGolItIhki8gHzvs+IrJQRJaLyBIRGVBl2wdFxCMi60Xk/FMpkDHm5GR58gAYao3MhhpqCqq6HviziKxU1Y9O8RyTgXVAI+f9X4DfqOpHInKR836YiHTHl4R6AG2A/4pIF1Utr+6gxpjAyPLk0axhPF1a2hSb5uTmaH7c+Wa/RET+JiJJNe0kIinAxcALVVYr3yaIJGCns3wZMFtVi1U1F/AAAzDGBI2qkuXJY2haU0Ssw5rxPym8BBQA1zo/h/CNnFqTJ4AHAG+VdfcCj4nINuCvQEUfiLbAtirbbXfWHUNE7qhITnv37vUzfGNMddbvLiDvcIn1TzCV/E0KnVX1YVXd5Pz8Buh0oh1EZDSwR1WXfuej8cB9qtoOuA94sWKXag6j31uhOk1VM1Q1o3nz5n6Gb4ypTmaOrz3BkoKp4G9SOCoiQyveiMgQ4GgN+wwBLhWRzcBsYISIzADGAW8727zJt7eItgPtquyfwre3lowxQZDlyaNT8wa0Sa7vdigmTPibFO4CnhGRzc5Ffgpw54l2UNUHVTVFVVPxNSB/pqpj8V3oz3U2GwHkOMvvAWNEJN7pNJcOLDqZwhhj/FdS5uWr3H321JE5hr+T7KwAeotII+f9odM45+3AkyISg+9x1zucY64RkTnAWqAMmGBPHhkTPMu3HaCwpNxuHZlj+DsdJ3DqyUBV5wHznOVMjjMXg6o+Cjx6KucwxpycTE8eUQKDOjV1OxQTRqxPuzF1VJYnj14pySTVj3U7FBNGLCkYUwcVFJWyfNsBa08w3+NXUhCRa0Qk0Vn+lYi8LSL9ghuaMSZYvtq0j3KvWnuC+R5/awq/VtUC57HU84FXgGeDF5YxJpgyPXnUi42iX4dkt0MxYcbfpFDxFNDFwLOq+i4QF5yQjDHBluXJY0DHpsTHRLsdigkz/iaFHSLyPL4hLv4lIvEnsa8xJozsPlREzp7DDE2zp47M9/l7Yb8W+DdwgaoeAJoAPwtWUMaY4KkYKtvaE0x1/EoKqloIvAscEZH2QCzwdTADM8YER6YnjyYN4jijVaOaNzZ1jl+d10RkEvAwsJtvRzxVoFeQ4jLGBEHFUNmDOzclKsqGyjbf52+P5slAV1XND2Ywxpjg2rj3MLsPFVv/BHNc/rYpbAMOBjMQY0zwVQyVbUnBHI+/NYVNwDwR+RAorlipqo8HJSpjTFBkevJp3ySBdk0S3A7FhCl/k8JW5ycO659gTEQqK/eycFM+l/Ru43YoJoz5O3T2bwCcoS5UVQ8HNSpjTMCt2H6Qw8VlduvInJC/Yx/1FJFsYDWwRkSWikiP4IZmjAmkLE8eIjC4s3VaM8fnb0PzNOB+Ve2gqh2AnwD/CF5YxphAy/Tk0aNNI5o0sDvA5vj8TQoNVPXzijfOpDkNghKRMSbgCkvKyN6633oxmxr5/fSRiPwaeM15PxbIDU5IxphAW5S7j9JytfYEUyN/awq3AM2Bt4G5zvLNwQrKGBNYWZ484mKiOCu1iduhmDDn79NH+4F7ghyLMSZIMj35ZHRoTL1YGyrbnNgJk4KIPKGq94rI+/jGOjqGql4atMiMMQGRd7iYdbsO8bPzu7odiokANdUUKtoQ/hrsQIwxwTF/o2/IMmtPMP44YVJQ1aXO6xehCccYE2hZOXk0qhdDz7ZJbodiIkBNt49WUc1towqqakNnGxPGVJVMTx5nd25GtA2VbfxQ0+2j0SGJwhgTFFvyC9lx4Ch3DevsdigmQtR0+2hLqAIxxgRepseGyjYnp6bbRwVUf/tI8A2MZ/P5GRPGsjx5tE2uT2pTGyrb+KemmkJiqAIxxgRWuVeZvzGf83u0RMTaE4x/aqopNFLVQyJSbTdIVd0XnLCMMadrzc6DHDxaauMdmZNS0zAXrzuvS4ElzuvSKu9rJCLRIpItIh9UWTdJRNaLyBoR+UuV9Q+KiMf57PyTKokx5hgV7Qlnd7akYPxX0+2j0c5rx9M4x2RgHdAIQESGA5cBvVS1WERaOOu7A2OAHkAb4L8i0kVVy0/j3MbUWVmePLq1SqR5YrzboZgI4u+AeIhILxG5VESurPjxY58U4GLghSqrxwN/UtViAFXd46y/DJitqsWqmgt4gAH+xmeM+VZRaTmLN++3p47MSfNrQDwReQnoBawBvM5qxTdq6ok8ATwAVG2w7gKcIyKPAkXAT1V1MdAWWFhlu+3Ouu/GcgdwB0D79u39Cd+YOmfJ5v2UlHkZkm5JwZwcf+dTGKSq3U/mwCIyGtijqktFZNh3ztkYGAScBcwRkU74HnP9ruoG4ZuGbyY4MjIyjtvb2pi6LNOTR2y0MMCGyjYnyd+ksEBEuqvq2pM49hDgUhG5CKgHNBKRGfhqAG+rqgKLRMQLNHPWt6uyfwqw8yTOZ4xxZHny6Nu+MQ3i/f0vboyPv20Kr+BLDOtFZKWIrBKRlSfaQVUfVNUUVU3F14D8maqOBd4BRgCISBcgDsgD3gPGiEi8iHQE0oFFp1IoY+qy/UdKWL3zoLUnmFPi79eIl4AbgVV826Zwql4CXhKR1UAJMM6pNawRkTnAWqAMmGBPHhlz8hZsykcV659gTom/SWGrqr53qidR1XnAPGe5BN8cz9Vt9yjw6Kmexxjja09oGB9D7xQbKtucPH+Twtci8jrwPlBcsVJVa3r6yJjTsvPAUQ4Xl9GlpY244q8sTx6DOjUlJtrvJ86NqeRvUqiPLxmcV2WdP4+kmgAoLfdyoLCUA4UlJNaLpVVSPbdDCgmvV7l5+mJy847w7Nh+jDyjpdshhb1t+wrZkl/IzWenuh2KiVB+JQVVvTnYgdQVR0vK2VdYwv4jJRwoLGV/YQkHCkvY7yzvP+JbrrquoKiscv/EejF8+cBwkhPiXCxFaPxn7W7W7y6gWcN47pqxlKk39GdUd0sMJ5JVMVS29U8wp6imAfF+BUw93sB3IjICSFDVD6r7vDbzepWCojL2F5awr+LCfqTiIu9c4KtZV1x2/Hb6xPgYkhvE0jghjuSEODo2a0ByQhyNE+Jo3CAWEeHX76zmxcxcfnJe7Z6EXVWZ8nkOHZom8M7dQ7j55cWMn7GUKdf344KerdwOL2xlevJo2Siezs0buh2KiVA11RRWAe+LSBGwDNiLr89BOtAH+C/wh2AGGE6Ky8r559IdvPDlJjbnH8F7nK5z0VFCcv1YkhN8F/iUxgmc2TaWJg3inIt8bOVr4wZxThKIJdaPe8DzPXm8nLWZ24Z2IikhNsAlDB/z1u9l9Y5D/OWqXjRuEMertw5g3EuLmPj6Mp6+ri8Xntna7RDDjtcZKntY1+Y2VLY5ZTUNiPcu8K6IpOPrjNYaOATMAO5Q1aPBD9F9RaXlzFmyjWfnbWTXwSL6tEvm7mFpzgU9tvKi3tj5Vp9YL4aoIM2He8/IdD5a/Q0vZuVy/6guQTmH21SVpz7LoW1yfS7v6xvppFG9WF69ZQA3TV/MxFnZPKnK6F5tXI40vKz75hD7jpRY/wRzWvxtU8gBcoIcS9gpKi3n9a+28twXG9lTUExGh8b85epeDE1r5to3sTNaN+L8Hi2ZnpXLrUM7klS/9tUW5m/MJ3vrAX53eU/iYr6tPSXWi+WVWwZwy/TF3DMrm3Kvclmf7w2PVWdVtCdY/wRzOqwPfDUKS8qYuXArz/9vE3mHixnYsQlPjOnD4E5Nw6Jafs/IdP69ZjfTs3K594e1r7bw1Kc5tGwUzzX9U773WcP4GKbffBa3vLyY+95YjleVK/p+f7u6KNOTT3qLhrRsVDeeTjPBYUmhisPFZby2YAv/+HJTZTV80oi+DOzU1O3QjtGjTRKjurfkpcxcbhnakUb1ak9tYVHuPr7K3cevR3enXmx0tds0cBLDrS8v4f45K/B64apqEkhdUlxWzqLcfMacZSMHm9NjSQE4VFTKq/M380JmLgcKSzm3S3PuGZlG/w7hO8Lk5JHpjF67m5ezNnPPyHS3wwmYpz/LoWmDOK4fcOKLW0JcDC/ddBa3v7qEn761gnJVrs1od8J9arNlWw5QVOq19gRz2mp6JPVpqhm+uoKq3hPwiELo4NFSpmfl8lJmLoeKyhjZrQWTRqbTp12y26HVqGfbJH54RgtezMzl5iGpJNaC2sLybQf4MiePn1/Qjfpx1dcSqqofF80L4zK4/dUlPPDWSrxeZUwNyaS2yvLkER0lDOwUvl9kTGSoqabg1zzMkeZAYQkvZeYyPWszBcVlnNe9JZNGpHNmhI0VM3lkFy6Zkskr8zczcUTk1xamfJZDckIsNw7u4Pc+9WKj+cePM7hrxlJ+8fYqylW5YaD/+9cWmZ48+rRLrhVfDoy7anok9ZVQBRIK+YeLeSEzl1fnb+ZISTkXndmKicPT6d6mkduhnZIzU5IY0a0FL2TmctOQjjSM4LHz1+w8yH/X7eH+UV1Ouhz1YqN5/sb+jJ+xjIfmrsbrVW4cnBqcQMPQwaOlrNx+oFZ8MTDuq+n20ROqeq+IvE/1s6BdGrTIAmhvQTH/+HITry3YQlFZOaN7tWHi8DS6tor8QdYmj0znsmeyeGX+ZiYMT3M7nFP2zOceEuNjGHeKY/bEx0Tz7Nh+TJi5jF+/u4Zyr3LTkI6BDTJMLdyUj1ex9gQTEDV9JXvNef1rsAMJht2Hinj+i028vmgLJWVeLuvTlgnDO5PWIvKTQYXe7ZIZ1rU5L3y5iZvOTo3ImbZydhfw0epvmDAs7bT6XcTHRDP1hv5MfH0Zj7y/lnKFW4fW/sSQ5ckjIS46ItrCTPir6fbRUmfxKyANX21ho6oWBTuw07Hr4FGem7eRWYu3Ue5VLu/Tlokj0ujYrIHboQXF5JHpXDF1Pq8u2ML4YZ3dDuekPfO5h/qx0dwSgAt4XEwUz9zQj3tmZfO7D9bi9Sq3/6BTAKIMX5mePAZ2bHJMRz9jTlVNt49i8I1tdAuwBd/0nSkiMh14SFVLgx+i/7bvL+TZeRt5c8l2vKpc3T+Fu4el0b5pgtuhBVXf9o35QZfm/OPLTYw7uwMJcZFTW8jNO8J7K3Zy2zmdaNIgMCO/xkZH8dR1fbl39nIe/dc6ylW569zIS5b+2HngKJv2HqnxEV5j/FXT1eMxIBHoqKoFACLSCN/tpL8Ck4Mbnn+25hcydZ6Ht5ZuRwSuzWjH+GGdSWlcu5NBVZNHpnPVs/OZsXALd/wgci6Az87zEBsdxW3nBPY2T2x0FE+O6UNUlPCnj76m3KsR3eZyPDa0hQm0mpLCaKCLM4cyAKp6SETGA1/jclIoLvPy0zdXMDd7B9FRwg0D23PnuZ1pk1zfzbBc0b9DY4amNWPa/zZx46BUv57zd9u2fYW8vWwHYwd1oEVi4IdmiImO4u/X9iZK4LF/r6fcq7Wqox/4kkKzhnF0tZnpTIDUlBS0akKosrJcRI7bqS1UNuwuoGTFTsYNTuXOczvV+TFfJv8wnWueW8DMr7Zw2znhfx/9uS82IgJ3nhu8WGOio3j82j5Ei/D4Jxso9yr3/jA9LMawOl2qSqYnn7M7NwvaqLym7qkpKawVkR+r6qtVV4rIWHw1BVc1axjPlz8fHpRvmZHorNQmnN25Kc99sYkbBnYI69rCNweLeHPJdq7u347WScGt2UVHCY9d05uoKOHJT3PwqnL/qC4Rnxg27D5M3uFiexTVBFRNSWEC8LaI3AIsxff00Vn45my+Isix1ah1Uj1LCN8xeWQ6P5q2kNcXbQ3rxzGf/99GylW5O0RPS0VHCX+5qhfRIjz9mYdyr/Kz87tGdGLIrGhPsKk3TQDV9EjqDmCgM+1mD0CAj1T101AEZ07ewE5NGdSpCc99sZEbBrY/7kijbtpbUMysRVu5vE9b2jUJ3cMAUVHCH688k6goYeo8X1L6xQXdIjYxZHny6NisAW3rYBuaCR6/HmxW1c9U9WlVfcoSQvibPLJL5YU3HL2QuYmSMi8Thof+KamoKOHRy3sydlB7nv9iE49+uI5qms3CXmm5l4Wb8hmSFl7DupvIZ71daqHBnZsyoKOvtlBUWu52OMfYf6SEGQu2MLpXGzq5NLl8VJTwu8t6Mm5wB17IzOW3H6yNuMSwfNsBCkvKrT3BBJwlhVrq3pHp7D5UzBuLt7kdyjGmZ+VypKTc9T4DIsIjl/bg5iGpTM/azG/ej6zEkJmThwgM7mRJwQRW5HR9NSdlcOemnJXamGfnbWTMgHbEx7jftnCoqJTp8zdzQY9WYTEYoYjwf6O7Ey3CC5m5lHm9/PbSnhHxeGeWJ49ebZNISrChsk1gWU2hlhIRJo/swjeHipgTJrWFV+dvpqCojIkjwqdnsYjw0MVncOcPOjFj4VYeesc39HY4KygqJXvbAevFbILCkkItNiStKf07NGbqvI0Ul7nbtnCkuIwXM3MZ0a0FPduG12RGIsIvLuzG3cM6M2vRVn45d1VYJ4ZFufso96q1J5igCHpSEJFoEckWkQ++s/6nIqIi0qzKugdFxCMi60Xk/GDHVtv5agvp7HI6irlp5ldb2F9YGla1hKpEhJ+d35VJI9KYvXgbD/xzJeVhmhgyPXnEx0TRr0Njt0MxtVAo2hQmA+uAyunNRKQdMArYWmVdd2AMvv4QbYD/ikgXVQ2vx2cizDnpzejbPpln523k2ox2rgyvXFRazrT/5TI0rRn92ofvhUxEuH9UF6LE6fnsVR67pjfRYdbGkOXJY0DHJmHZB8VEvqBeIUQkBbgYeOE7H/0deIBjZ3O7DJitqsWqmgt4gAHBjK8uqKgt7DhwlLeWulNbmL1oK3mHi5kUprWEqkSE+0Z14f5RXXg7eweTZ2dTWu51O6xKew4VsWH3YWtPMEET7K+NT+C7+Ff+rxKRS4EdqrriO9u2Baq2iG531pnTdG6X5vRul8wzn3soKQvtBa64rJznvtjEgNQmDOwUOR2t7hmZzs8v6MYHK3dx98xlrrfJVMja6BvawtoTTLAELSmIyGhgT5XZ2xCRBOAh4P+q26Wadd+7qSsid4jIEhFZsnfv3oDFW5uJCPc6tYW3l4W2tvDW0u18c6iISSPDv5bwXeOHdeaRS7rzydrd3P7qUo6WuJ8YMnPySU6IpXvrRjVvbMwpCGZNYQhwqYhsBmYDI/DN+dwRWOGsTwGWiUgrfDWDdlX2TwF2fvegqjpNVTNUNaN58+ZBDL92Gda1Ob1SkpjyuSdkt0NKy708O28jvdslR+w325uGdORPV57Jlzl7ufnlRRwuLnMtFlUly5PHEBsq2wRR0JKCqj6oqimqmoqvAfkzVb1KVVuoaqqzfjvQT1W/Ad4DxohIvIh0BNKBRcGKr64REe4Zkc72/UeZu2xHSM75TvYOtu8/yj0j0iJ20DmAMQPa8/dr+7B4835+/OJXHDzqziy0G/ce4ZtDRdaeYIIqbPopqOoaYA6wFvgYmGBPHgXWyDNa0LNtI6Z87qEsyLWFcq8ydd5GurduxIhuLYJ6rlC4vG9bnrm+L6t2HOSGFxay70hJyGOomHozUmtdJjKEJCmo6jxVHV3N+lRVzavy/lFV7ayqXVX1o1DEVpdU1Ba27ivkneXfuzMXUB+s3Elu3hEmRXgtoaoLerZm2o0ZbNh9mOumLWRPQVFIz5/pyaNdk/q0b1p35h43oRc2NQUTGqO6t6R760ZM+SwnaLUFr1d55nMP6S0acn6PVkE5h1uGd2vB9JvOYuu+QsY8v5BdB4+G5Lxl5V4Wbsy3WoIJOksKdYyIcM/IdDbnF/LeiuDUFv6z9hs27D7MxBFptbJBdEhaM167dQB7Coq55rkFbNtXGPRzrtxxkILiMmtPMEFnSaEOOq97S7q1SmSKMy1lIKkqT3/moWOzBozu1Sagxw4nGalNmHnbQAqKyrjmuQVs3Hs4qOfLyvHdZT27syUFE1yWFOqgqChfL+dNeUd4P8C1hc/X72HNzkOMH9Y57IaHCLTe7ZKZfccgSsu9/Oj5BXz9zaGgnSvTk0ePNo1o0iAuaOcwBiwp1Fnn92hF15aJPPVZTsBqC6rKU596SGlcnyv61o3O6Ge0bsQbdw4mOkoYM20hq7YfDPg5CkvKWLZ1v7UnmJCwpFBHRUX52hY27T3CBysDU1vI8uSzfNsBxg/rTGx03fnTSmvRkDl3DqZBXAzX/2MhS7fsC+jxF+Xuo7RcrT3BhETd+Z9rvufCnq3o0rIhTweobeGpz3Jo1ageV/dPCUB0kaVD0wbMuWswTRvGceOLi5i/Ma/mnfyU5ckjLjqKs1KbBOyYxhyPJYU6LCpKmDQiHc+ew/xr1a7TOtZXm/JZlLuPO8/tFBZTf7qhbXJ95tw5mLbJ9bl5+mLmrd8TkONmevLp36Ex9ePq5r+rCS1LCnXcRWe2Jq1FQ57+LOe0Zhub8rmHZg3jGHNW+wBGF3laNKrH7DsG0bl5Q25/dQn/XvPNaR0v73Ax63YdYmi63ToyoWFJoY6LjhImjUhjw+7DfLT61C5g2Vv382VOHref08m+zQJNG8Yz6/ZB9GiTxN0zl51Wf5D5G/MBrD3BhIwlBcPoXm3o3LwBT316arWFKZ95SE6IZeygDkGILjIlJcQy47aB9O/QmMmzs5mzZFvNO1UjKyePxHoxnBlm81qb2suSgnFqC+ms311w0rc7Vu84yKdf7+HWIR1pEB+K2V0jR8P4GF65eQBD05rxwFsreXXB5pPaX1XJ9ORxduemtb7PhwkflhQMAJf0bkOnZg0q5yb21zOfe0isF8O4IanBCy6C1Y+L5oVxGfzwjJb837trmPa/jX7vuyW/kB0Hjlr/BBNSlhQM4KstTByRxtffFPCftbv92mfD7gI+Wv0NN52dSqN6sUGOMHLFx0Tz7Nh+XNyrNX/419c8+d8cVGtOvJnOUNnWnmBCyZKCqXRp7zakNk3gqU/9u2hN+cxDQlw0twzpGILoIltsdBRPjenLVf1S+Pt/N/Dnj9fX+G+c5cmjTVI9OjZrEKIojbGkYKqIiY5iwvA01u46xCc11BY27T3MByt3cuOgDjS28Xj8Eh0lPHZ1L24Y2J7nvtjIb95fe9xbdeVeZf7GfIakNas181GYyGBJwRzjir5tad8kgSdrqC1MnbeRuJgobjunUwiji3xRUcLvL+/JrUM78vL8zfxy7qpqe5Ov2XmQg0dLrX+CCTlLCuYYMdFRTByexpqdh/h0XfU9crftK2Ru9g6uG9Ce5onxIY4w8okIv7r4DCaNSGP24m38ZM7y7014VNGeYENlm1CzpGC+54p+bWnXpD5PfVZ9beHZLzYSLcKdP+jsQnS1g4jwk/O68rPzu/LO8p1MmpVNSdm3iSHLk0e3VomWdE3IWVIw3xMbHcWEYWms3H6Qeev3HvPZroNHeWvJdq7JSKFVUj2XIqw9JgxP49eju/PR6m+487UlFJWWU1RazuLN++2pI+MKSwqmWlf2S6Ftcn2e+E7bwvNfbMKryl3nWi0hUG4d2pE/XHEm8zbs5ZaXF/O/DXspKfNa/wTjCksKplpxMb4nkVZsO8AXG3y1hT0FRcxatJUr+ralXZMElyOsXa4f2J6/XdObhZvymTQrm5goYUBHGyrbhJ4lBXNcV/f31RYqnkR68ctcSsu93D08ze3QaqUr+6Xw9HX9KPcq/To0tmFDjCvsr84cV1xMFOOHdeZX76zmvRU7eW3hFi7p3cY6UwXRxb1a06l5AxpaQjAusZqCOaFrMlJonVSPn8xZQWFJOROtlhB0Z7RuZLfnjGssKZgTio+J5u5hnSnzKhf2bEV6y0S3QzLGBJHVUU2Nrj2rHZvzC/nxYJsvwZjazpKCqVF8TDS/Ht3d7TCMMSFgt4+MMcZUsqRgjDGmUtCTgohEi0i2iHzgvH9MRL4WkZUiMldEkqts+6CIeERkvYicH+zYjDHGHCsUNYXJwLoq7z8BeqpqL2AD8CCAiHQHxgA9gAuAqSISHYL4jDHGOIKaFEQkBbgYeKFinar+R1XLnLcLgRRn+TJgtqoWq2ou4AEGBDM+Y4wxxwp2TeEJ4AHAe5zPbwE+cpbbAtuqfLbdWXcMEblDRJaIyJK9e/d+92NjjDGnIWhJQURGA3tUdelxPn8IKANmVqyqZrPvDeavqtNUNUNVM5o3bx6weI0xxgS3n8IQ4FIRuQioBzQSkRmqOlZExgGjgZH67bjM24F2VfZPAXYGMT5jjDHfISeahzdgJxEZBvxUVUeLyAXA48C5qrq3yjY9gNfxtSO0AT4F0lW1/ATHLQDWBzH0E0kCDrpw3mZAngvnBStzKLlVZrfKC1bmUEpX1aTqPnCjR/MUIB74REQAFqrqXaq6RkTmAGvx3VaacKKE4FivqhnBDbd6IjJNVe9w4bxLrMwhPXedKrNb5XXObWUO3XmnHe+zkCQFVZ0HzHOWjzvMpqo+CjwaipgC4H23A3CBlbn2q2vlBSvzMaxH8ylS1Tr3h2Rlrv3qWnnByvxdkZ4UjlsFqsWszHWDlbluCLsyh6Sh2RhjTGSI9JqCMcaYALKkYIwxplLYJQUReUlE9ojI6irreovIAhFZJSLvi0gjZ32ciEx31q9w+kNQ5bNpIrLBGZX1qtCXxj8BLPN1zvqVIvKxiDQLfWlqJiLtRORzEVknImtEZLKzvomIfCIiOc5r4yr7VDuCroj0d8rsEZGnxHnOOdwEqswikiAiHzp/02tE5E9ulakmgfw9V/n8var/T8JNgP+23bmGqWpY/QA/APoBq6usW4yvsxv4xkv6nbM8AZjuLLcAlgJRzvvfAL93lqOAZm6XLZhlxvd48Z6KcgJ/AR5xu2zHKW9roJ+znIhvtNzuTsy/cNb/Avizs9wdWIGvf0tHYCMQ7Xy2CBiMb5iUj4AL3S5fMMsMJADDnW3igC9re5mrHO9KfB1cV4eyHC7+bbtyDXP9H/E4/7Cp37lAHuLbRvF2wFpn+RlgbJXtPgUGOMvbgAZulyVUZQZigb1AB+cC+Rxwh9vl8rPs7wKj8PVOb+2sa42vcyL4hld/sMr2/8aXCFoDX1dZfx3wvNvlCWaZqznOk8Dtbpcn2GUGGgKZzkU0bJNCgMvsyjUs7G4fHcdq4FJn+Rq+HSNpBXCZiMSISEegP9BOvp2453ciskxE3hSRliGN+PSdVJlVtRQYD6zCN2ZUd+DF0IZ88kQkFegLfAW0VNVdAM5rC2ez442g29ZZ/u76sHaaZa56nGTgEnxfDMJaAMr8O+BvQGEo4g2E0ymzm9ewSEkKtwATRGQpvipZibP+JXz/iEvwDdM9H98QGTH4BtTLUtV+wALgryGO+XSdVJlFJBZfUuiLb+yolTgTGIUrEWkI/BO4V1UPnWjTatbpCdaHrQCUueI4McAs4ClV3RTYKAPrdMssIn2ANFWdG4z4giEAv2fXrmFujH100lT1a+A8ABHpgm/iHtQ3Wc99FduJyHwgB8jH942i4o/oTeDWEIZ82k6hzH2czzc66+fgu3cZlpwk9k9gpqq+7azeLSKtVXWXiLTG10YCxx9BdzvfTtJUdX1YClCZK0wDclT1iSCHfVoCVObBQH8R2YzvmtVCROap6rBQlOFkBajMrl3DIqKmICItnNco4Ff47pdXPInRwFkeBZSp6lr13ZB7HxjmHGIkvoH2IsbJlhnYAXQXkYpJJkZx7DSoYcN5QuhFYJ2qPl7lo/eAcc7yOHz3YyvWjxGReOeWWTqwyKmGF4jIIOeYP66yT1gJVJmdY/0e38ie94Yg9FMWwN/zs6raRlVTgaHAhjBOCIEqs3vXMLcbYqppmJkF7AJK8WXRW/HN87zB+fkT3zbApuJrwFkH/BfoUOU4HYD/4buN8inQ3u2yhaDMdznrV+L7g2rqdtmOU96h+KrIK4Hlzs9FQFPnd5XjvDapss9D+J7MWE+Vp22ADHztLxvxjcArbpcvmGXG901Snd9zxXFuc7t8wf49V/k8lTBuaA7w37Yr1zAb5sIYY0yliLh9ZIwxJjQsKRhjjKlkScEYY0wlSwrGGGMqWVIwxhhTyZKCMSdBfDJF5MIq664VkY/djMuYQLFHUo05SSLSE18P0774Ri5dDlygTm/ykzxWtKqWBzZCY06dJQVjToGI/AU4AjRwXjsAZ+IbhuERVX3XGRDtNWcbgImqOl98c2A8jK/DYh9V7R7a6I05PksKxpwCZ6iRZfgGKvwAWKOqM5zRLRfhq0Uo4FXVIhFJB2apaoaTFD4EeqpqrhvxG3M8ETEgnjHhRlWPiMgbwGHgWuASEfmp83E9oD2+gc2mOKN8lgNdqhxikSUEE44sKRhz6rzOjwBXqer6qh+KyCPAbqA3voc6iqp8fCREMRpzUuzpI2NO37+BSc4ImYhIX2d9ErBLVb3AjfgapY0Ja5YUjDl9v8M3HepKZ1L53znrpwLjRGQhvltHVjswYc8amo0xxlSymoIxxphKlhSMMcZUsqRgjDGmkiUFY4wxlSwpGGOMqWRJwRhjTCVLCsYYYyr9P7kvfTvFmKxyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax=oildata.plot()\n",
    "ax.set_xlabel(\"Year\")\n",
    "ax.set_ylabel(\"Oil (millions of tonnes)\")\n",
    "print(\"Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we run three variants of simple exponential smoothing:\n",
    "1. In ```fit1``` we do not use the auto optimization but instead choose to explicitly provide the model with the $\\alpha=0.2$ parameter\n",
    "2. In ```fit2``` as above we choose an $\\alpha=0.6$\n",
    "3. In ```fit3``` we allow statsmodels to automatically find an optimized $\\alpha$ value for us. This is the recommended approach."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.785068Z",
     "start_time": "2017-12-07T12:39:15.191930Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f277d7ff520>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(smoothing_level=0.2,optimized=False)\n",
    "fcast1 = fit1.forecast(3).rename(r'$\\alpha=0.2$')\n",
    "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(smoothing_level=0.6,optimized=False)\n",
    "fcast2 = fit2.forecast(3).rename(r'$\\alpha=0.6$')\n",
    "fit3 = SimpleExpSmoothing(oildata, initialization_method=\"estimated\").fit()\n",
    "fcast3 = fit3.forecast(3).rename(r'$\\alpha=%s$'%fit3.model.params['smoothing_level'])\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(oildata, marker='o', color='black')\n",
    "plt.plot(fit1.fittedvalues, marker='o', color='blue')\n",
    "line1, = plt.plot(fcast1, marker='o', color='blue')\n",
    "plt.plot(fit2.fittedvalues, marker='o', color='red')\n",
    "line2, = plt.plot(fcast2, marker='o', color='red')\n",
    "plt.plot(fit3.fittedvalues, marker='o', color='green')\n",
    "line3, = plt.plot(fcast3, marker='o', color='green')\n",
    "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Holt's Method\n",
    "\n",
    "Lets take a look at another example.\n",
    "This time we use air pollution data and the Holt's Method.\n",
    "We will fit three examples again.\n",
    "1. In ```fit1``` we again choose not to use the optimizer and provide explicit values for $\\alpha=0.8$ and $\\beta=0.2$\n",
    "2. In ```fit2``` we do the same as in ```fit1``` but choose to use an exponential model rather than a Holt's additive model.\n",
    "3. In ```fit3``` we used a damped versions of the Holt's additive model but allow the dampening parameter $\\phi$ to be optimized while fixing the values for $\\alpha=0.8$ and $\\beta=0.2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:16.114361Z",
     "start_time": "2017-12-07T12:39:15.786542Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f277d4b5fd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr8AAAHSCAYAAADlm6P3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAACQSklEQVR4nOzdd3xOZx/H8c/JIrE3RRJ7E4Tae8/abaPVFqmH6tJWW1WrqlqlA21DqWqq1N6jiFE79qqZxF4hRiLzPH8cYiUEd6bv+/W6X5Fz3+dc18nj9fTryu/8LsM0TUREREREngV2yT0BEREREZGkovArIiIiIs8MhV8REREReWYo/IqIiIjIM0PhV0RERESeGQq/IiIiIvLMcEjKwXLmzGm6u7sn5ZAiIiIi8gzy9/e/aJpmrvuPJ2n4dXd3Z9u2bUk5pIiIiIg8gwzDCIzruMoeREREROSZofArIiIiIs8MhV8REREReWYkac1vXCIjIzl58iQ3b95M7qlIGpI+fXoKFCiAo6Njck9FREREUpBkD78nT54kU6ZMuLu7YxhGck9H0gDTNLl06RInT56kUKFCyT0dERERSUGSvezh5s2b5MiRQ8FXbMYwDHLkyKHfJoiIiMgDkj38Agq+YnP6OyUiIiJxSRHhN7llzJjxnu9/++033nrrrYeeM3jwYEaNGhX7+dOnT8e+V69ePQICAhI09t3X+fzzz/nnn38eY+ZP78svv0y0awcEBFC2bNlEu76IiIjI40p14dfXF9zdwc7O+urrm9wzejD8PqmhQ4fSqFEjG8wobtHR0Q8ciy/8mqZJTExMos1FREREJDkkKPwahhFgGMYewzB2Goax7daxwYZhnLp1bKdhGC0Sd6pW0PX2hsBAME3rq7d34gbgwMBAGjZsSPny5WnYsCFBQUH3vD9z5ky2bduGl5cXHh4ehIWFkT17duzt7YmOjua1116jbNmylCtXjjFjxjx0rNdee42ZM2cC1m54gwYNolKlSpQrV46DBw8CcOPGDd544w2qVKlCxYoVmTdvHmCtstauXZtKlSpRqVIlNmzYAICfnx/169fn5Zdfply5cveM9/HHHxMWFoaHhwdeXl4EBARQqlQpevfuTaVKlThx4gTffPMNVapUoXz58gwaNCh2rFKlStGzZ0/KlClDkyZNCAsLA8Df358KFSpQvXp1xo0b95Q/fRERERHbepxuD/VN07x437ExpmmOstVk3n0Xdu6M//1NmyA8/N5joaHQvTtMmBD3OR4e8N13Dx/3dgC8LTg4mDZt2gDw1ltv8eqrr9KtWzcmTZrE22+/zdy5c2M/27FjR8aOHcuoUaPw9PQEYPbs2YAVBE+dOsXevXsBuHLlysMncp+cOXOyfft2xo8fz6hRo5g4cSLDhw+nQYMGTJo0iStXrlC1alUaNWpE7ty5WbFiBenTp+fw4cO89NJLsVtJb9myhb179z7Q+eCrr75i7Nix7Lz1Qw8ICOC///5j8uTJjB8/nuXLl3P48GG2bNmCaZq0adOGtWvX4urqyuHDh5k2bRoTJkygc+fOzJo1i65du/L666/z448/UrduXT788MPHul8RERGRxJaqyh7uD76POp5Qzs7O7Ny5M/Y1dOjQ2Pc2btzIyy+/DMArr7zC+vXrE3zdwoULc+zYMfr27cvSpUvJnDnzY82rffv2AFSuXDm2hnj58uV89dVXeHh4UK9ePW7evElQUBCRkZH07NmTcuXK0alTJ/bv3x97napVqya45ZebmxvVqlWLHWv58uVUrFiRSpUqcfDgQQ4fPgxAoUKFYv/BcHt+ISEhXLlyhbp16wLWz0tEREQkJUnoyq8JLDcMwwR+MU3T59bxtwzDeBXYBvQzTfPy00zmUSu07u5WqcP93NzAz+9pRk64x+kikC1bNnbt2sWyZcsYN24cM2bMYNKkSQk+P126dADY29sTFRUFWLW4s2bNokSJEvd8dvDgweTJk4ddu3YRExND+vTpY9/LkCFDgse8+7OmafLJJ5/w5ptv3vOZgICA2Lndnl9YWBimaarLgoiIiKRoCV35rWmaZiWgOdDHMIw6wE9AEcADOAN8G9eJhmF4G4axzTCMbRcuXHiqyQ4fDi4u9x5zcbGOJ5YaNWrw119/AeDr60utWrUe+EymTJm4du3aA8cvXrxITEwMHTp0YNiwYWzfvv2p59O0aVN+/PFHTNMEYMeOHQCEhISQL18+7OzsmDp1apwPt8XF0dGRyMjIeMeaNGkS169fB+DUqVOcP38+3mtlzZqVLFmyxK6O+6aEpxFFRERE7pKg8Gua5ulbX88Dc4CqpmmeM00z2jTNGGACUDWec31M0/Q0TdMzV65cTzVZLy/w8bFWeg3D+urjYx1PLD/88AOTJ0+mfPnyTJ06le+///6Bz7z22mv06tUr9oG3206dOkW9evXw8PDgtddeY8SIEU89n4EDBxIZGUn58uUpW7YsAwcOBKB3795MmTKFatWqcejQoQSv9np7e1O+fHm84vghNmnShJdffpnq1atTrlw5OnbsGGfIv9vkyZPp06cP1atXx9nZ+fFvUERERCQRGbdXEOP9gGFkAOxM07x2688rgKHALtM0z9z6zHvA86Zpvviwa3l6epq3H8K67cCBA5QqVeopbkEkbvq7JSIikkx8fWHAAAgKAldX69f0iblaGQfDMPxN0/S8/3hCan7zAHNu1XI6AH+aprnUMIyphmF4YNUDBwBvxnsFEREREXk23O5NGxpqfX+7Ny0keQCOyyPDr2max4AKcRzXo/wiIiIicq8BA+4E39tCQ63jKSD8pqpWZyIiIiKSwt23IdgjjycxhV8RERERsY0TJ8DePu73XF2Tdi7xUPgVERERkad38CDUrAkODnDXfgBA4vemfQwKvyIiIiLydLZtg9q1ISICNm6EX39N2t60j0HhF2uHMg8Pj9jXV199ldxTitd3331H6F1F5C1atODKlSsPPcfd3Z2LFy8+cPzLL7+09fRiBQQEULZs2US7voiIiKQQq1dD/fqQMSOsXw8eHlbQDQiAmBjrawoJvpAaw6+vr7XPsZ2d9dUGu4g5Ozuzc+fO2NfHH3/81NdMLPeH38WLF5M1a9YnulZ84dc0TWJiYp7omiIiIvIMmTsXmjWzVnf//ReKFk3uGT1S6gq/t/vGBQaCad7pG5cI2+iGhIRQokQJ/vvvPwBeeuklJkyYAEDGjBnp168flSpVomHDhtzetnnnzp1Uq1aN8uXL065dOy5fvgxAvXr16N+/P1WrVqV48eKsW7cOgOjoaD788EOqVKlC+fLl+eWXXwDw8/OjXr16dOzYkZIlS+Ll5YVpmvzwww+cPn2a+vXrU79+feDeVd0XXniBypUrU6ZMGXx8fB56fx9//DFhYWF4eHjg5eVFQEAApUqVonfv3lSqVIkTJ07wzTffxM5t0KBBALGf69mzJ2XKlKFJkyaxu9r5+/tToUIFqlevzrhx42z2v4WIiIikQJMnQ4cOUKkSrF0Lzz2X3DNKGNM0k+xVuXJl83779++/880775hm3brxv9KlM00r9t77Spcu/nPeeeeBMe9nZ2dnVqhQIfb1119/maZpmsuXLzerVatmTps2zWzatGns5wHzjz/+ME3TNIcMGWL26dPHNE3TLFeunOnn52eapmkOHDjQfOfW2HXr1jXff/990zRNc9GiRWbDhg1N0zTNX375xRw2bJhpmqZ58+ZNs3LlyuaxY8fM1atXm5kzZzZPnDhhRkdHm9WqVTPXrVtnmqZpurm5mRcuXIidy93fX7p0yTRN0wwNDTXLlCljXrx4Mc5zbsuQIUPsn48fP24ahmFu3LjRNE3TXLZsmdmzZ08zJibGjI6ONlu2bGmuWbPGPH78uGlvb2/u2LHDNE3T7NSpkzl16tQH7v+DDz4wy5Qp88iffWK65++WiIiI2M6oUVYGa9LENK9fT+7ZxAnYZsaRRxOyw1vKER7+eMcT6HbZw/0aN27M33//TZ8+fdi1a1fscTs7O7p06QJA165dad++PSEhIVy5coW6desC0K1bNzp16hR7Tvv27QGoXLkyAQEBACxfvpzdu3czc+ZMwFptPnz4ME5OTlStWpUCBQoA4OHhQUBAALVq1Xroffzwww/MmTMHgBMnTnD48GFy5MiR4J+Dm5sb1apVi53b8uXLqVixIgDXr1/n8OHDuLq6UqhQITw8PO65n/vv/5VXXmHJkiUJHltERERSAdOETz+Fr76Czp1h6lRwckruWT2WlBV+v/vu4e+7u1ulDvdzcwM/P5tPJyYmhgMHDuDs7ExwcHBsGL3fra2fHyrdrZYf9vb2REVFAdaq+48//kjTpk3v+ayfn1/s5+8/Jz5+fn78888/bNy4ERcXF+rVq8fNmzcfOa+7ZciQIfbPpmnyySef8Oab9+5aHRAQ8MDcwsLCME0zQT8HERERSaWio+F//4MJE+DNN2HcuPh7+qZgqavmd/hwq0/c3RKxb9yYMWMoVaoU06ZN44033iAyMhKwQvHt1do///yTWrVqkSVLFrJlyxZbzzt16tTYVdD4NG3alJ9++in2uocOHeLGjRsPPSdTpkxcu3btgeMhISFky5YNFxcXDh48yKZNmx55f46OjrFjxzW3SZMmcf36dQBOnTrF+fPn471W1qxZyZIlC+vXrwfANxHqsEVERCSZhIfDiy9awXfAAPjpp1QZfCGlrfw+yu02GQMGWFvkubpawfcp22fcfvDrtmbNmvHGG28wceJEtmzZQqZMmahTpw5ffPEFQ4YMIUOGDOzbt4/KlSuTJUsWpk+fDsCUKVPo1asXoaGhFC5cmMmTJz903B49ehAQEEClSpUwTZNcuXIxd+7ch57j7e1N8+bNyZcvH6tXr75nzj///DPly5enRIkSseULj7pW+fLlqVSpEsPv+wdEkyZNOHDgANWrVwesh/z++OMP7B/yF33y5Mm88cYbuLi4PLCaLSIiIqnU9evQvj2sWAGjR8N77yX3jJ6KYdUDJw1PT09z27Zt9xw7cOAApUqVSrI52ELGjBljV0Ql5UqNf7dERERSlEuXoEUL8Pe3Nq7o1i25Z5RghmH4m6bpef/x1LXyKyIiIiJJ49QpaNIEjh6F2bOhTZvknpFNKPw+Aa36ioiISJp26JAVfIODYdkyeMRzTKmJwq+IiIiI3LFjB9x+dsfPz9rEIg1JXd0eRERERCTxrF0L9eqBszOsX5/mgi8o/IqIiIgIwIIF1orvc89Zwbd48eSeUaJQ+BURERF51v3+O7RrB+XKwbp1ULBgcs8o0Sj83jJnzhwMw+DgwYPxfqZevXrc36oN4LfffuOtt94C4Oeff+b333+PPX769OnYz/Xo0YP9+/fbdN5+fn60atXKptd8UvH9fL777jtCQ0MTbdyMGTMm2rVFRETSvO++s1qY1asHK1dCzpzJPaNElerCr+8eX9y/c8duiB3u37nju8c2O4lNmzaNWrVq8ddffz3VdXr16sWrr74KPBh+J06cSOnSpZ/q+qnRw8JvdHR0Es9GREREADBNGDjQ2rSifXtYtAgyZUruWSW6VBV+fff44r3Am8CQQExMAkMC8V7g/dQB+Pr16/z777/8+uuv94TfsLAwXnzxRcqXL0+XLl0ICwuLfW/y5MkUL16cunXr8u+//8YeHzx4MKNGjWLmzJls27YNLy8vPDw8CAsLi10Z/emnn/joo49iz/ntt9/o27cvAH/88QdVq1bFw8ODN998M85wuHTpUkqWLEmtWrWYPXt27PEtW7ZQo0YNKlasSI0aNfjvv/9ir//CCy/QunVrChUqxNixYxk9ejQVK1akWrVqBAcHA9bK7bvvvkuNGjUoW7YsW7ZsAeDGjRu88cYbVKlShYoVKzJv3rxH/nxu++GHHzh9+jT169enfv36gLVS+/nnn/P888+zcePGeO85Y8aMDBgwgAoVKlCtWjXOnTsHwPHjx6levTpVqlRh4MCBCf7fWURERG6JjoY+feCLL6B7d5gxA9KlS+5ZJYkUFX7fXfou9X6rF++r+7zuhEbeu4IYGhlK93nd4z3n3aXvPnLcuXPn0qxZM4oXL0727NnZvn07AD/99BMuLi7s3r2bAQMG4O/vD8CZM2cYNGgQ//77LytWrIizlKFjx454enri6+vLzp07cXZ2vue9u0Pr9OnT6dKlCwcOHGD69On8+++/7Ny5E3t7e3x97w32N2/epGfPnixYsIB169Zx9uzZ2PdKlizJ2rVr2bFjB0OHDuXTTz+NfW/v3r38+eefbNmyhQEDBuDi4sKOHTuoXr16bJkGWEF3w4YNjB8/njfeeAOA4cOH06BBA7Zu3crq1av58MMPuXHjRrw/n7u9/fbbPPfcc6xevTp2O+YbN25QtmxZNm/eTI4cOeK95xs3blCtWjV27dpFnTp1mDBhAgDvvPMO//vf/9i6dSt58+Z95P++IiIicpeICPDygp9+go8+ggkTwN4+uWeVZFJU+H2U8OjwxzqeUNOmTePFF18E4MUXX2TatGkArF27lq5duwJQvnx5ypcvD8DmzZupV68euXLlwsnJiS5dujzWeLly5aJw4cJs2rSJS5cu8d9//1GzZk1WrlyJv78/VapUwcPDg5UrV3Ls2LF7zj148CCFChWiWLFiGIYROz+AkJAQOnXqRNmyZXnvvffYt29f7Hv169cnU6ZM5MqViyxZstC6dWsAypUrR0BAQOznXnrpJQDq1KnD1atXuXLlCsuXL+err77Cw8ODevXqcfPmTYKCguL9+TyKvb09HTp0AHjoPTs5OcXWM1euXDl2nv/++2/sPF955ZUEjSkiIiLAjRvWTm3Tp8PIkdbLMJJ7VkkqRW1y8V2z7x76vvt37gSGBD5w3C2LG36v+T3RmJcuXWLVqlXs3bsXwzCIjo7GMAy+/vprAIx4/kLEdzyhunTpwowZMyhZsiTt2rXDMAxM06Rbt26MGDHioefGN/bAgQOpX78+c+bMISAggHr16sW+l+6uX2XY2dnFfm9nZ0dUVFS81749r1mzZlGiRIkEz+Vh0qdPj/2tf2E+7J4dHR1jr29vb//QeYqIiMgjBAdDq1aweTNMnGiVOzyDUtXK7/CGw3FxdLnnmIujC8MbDn/ia86cOZNXX32VwMBAAgICOHHiBIUKFWL9+vXUqVMn9lfwe/fuZffu3QA8//zz+Pn5cenSJSIjI/n777/jvHamTJm4du1anO+1b9+euXPnMm3atNiV44YNGzJz5kzOnz8PQHBwMIGB94b9kiVLcvz4cY4ePQoQu0oN1spv/vz5AavO90lMnz4dgPXr15MlSxayZMlC06ZN+fHHHzFNE4AdO3YAxPvzud/Dfg4Juef71axZM7Y2+/6yEBEREYnD6dPWFsX+/vD3389s8IVUFn69ynnh09oHtyxuGBi4ZXHDp7UPXuW8nvia06ZNo127dvcc69ChA3/++Sf/+9//uH79OuXLl+frr7+matWqAOTLl4/BgwdTvXp1GjVqRKV4dj957bXX6NWrV+wDb3fLli0bpUuXJjAwMPa6pUuX5osvvqBJkyaUL1+exo0bc+bMmXvOS58+PT4+PrRs2ZJatWrh5uYW+95HH33EJ598Qs2aNZ+4i0K2bNmoUaMGvXr14tdffwWsFeXIyEjKly9P2bJlYx8yi+/ncz9vb2+aN28e+8Db3RJyz/f7/vvvGTduHFWqVCEkJOSJ7lNERCRN8/UFd3ews4P8+aFCBQgIgMWLrc4OzzDj9mpeUvD09DTv7wN74MABSpUqlWRzkPjVq1ePUaNG4enpmdxTsQn93RIRkWeSry94e8P9bUaHDrVamz0jDMPwN03zgVCTqlZ+RUREROQRBgx4MPgC3PqN7rMuRT3wJsnLz88vuacgIiIiTyso6PGOP2O08isiIiKSVpgmZMkS93uurkk7lxQqRYTfpKw7lmeD/k6JiMgzJzoa3n4brlx5cNMKFxcY/uTdsdKSZA+/6dOn59KlSworYjOmaXLp0iXSp0+f3FMRERFJGqGhVheHsWOhXz/47Tdwc7M2sHBzAx8fa1c3Sf6a3wIFCnDy5EkuXLiQ3FORNCR9+vQUKFAguachIiKS+M6fh9atYetW+OEH6NvXOn7XLrByR7KHX0dHRwoVKpTc0xARERFJff77D5o3h7NnYc4caNs2uWeU4iV7+BURERGRJ7B+vRV27e1h9Wp4/vnknlGqkOw1vyIiIiLymP7+Gxo1ghw5YONGBd/HoPArIiIiklqYJnz7LXTuDJUrW8G3SJHknlWqovArIiIikhrcbmX2wQfQsSP884+18iuPReFXREREJKW7v5XZ9Ong7Jzcs4qXry+4u4OdnfXV1ze5Z3SHHngTERERScnia2WWQvn6gre3ldcBAgOt7yFltBrWyq+IiIhISvXff1CtGuzZY7UyS+HBF2DAgDvB97bQUOt4SqCVXxEREZGUKBW2MgsPt1Z64xIUlLRziY9WfkVERERSmlTWysw0Yf58KFMm/s+4uibdfB4mQeHXMIwAwzD2GIax0zCMbbeOZTcMY4VhGIdvfc2WuFMVERERSeNSYSuz/fuhWTNrkdrJCfr3BxeXez/j4gLDhyfP/O73OCu/9U3T9DBN0/PW9x8DK03TLAasvPW9iIiIiDyJVNbK7PJlePddKF8eNm+G776DXbvgq6/Axwfc3MAwrK8+PinjYTd4uprftkC9W3+eAvgB/Z9yPiIiIiLPntBQeOklq3agXz/4+murT1gKFB0NEyfCZ5/BpUtWJ4dhwyBXrjuf8fJKOWH3fgn9qZrAcsMw/A3DuNWsgjymaZ4BuPU1d2JMUERERCRNO38e6teHBQusVmajRqXY4Lt2rVWN0asXlCoF27fDzz/fG3xTuoSu/NY0TfO0YRi5gRWGYRxM6AC3wrI3gGtKqXQWERERSQn++w+aN4ezZ61WZm3bJveM4hQYCB99BDNmQMGC1h4bnTpZZQ2pTYL+WWGa5ulbX88Dc4CqwDnDMPIB3Pp6Pp5zfUzT9DRN0zNXavpngYiIiEhiWr8eatSA69etVmYpMPiGhsLgwVCypFWRMWgQHDxoPY+XGoMvJCD8GoaRwTCMTLf/DDQB9gLzgW63PtYNmJdYkxQRERFJU1J4KzPTtFZ3S5aEIUOgTRtrkXrw4Ac7OaQ2CVn5zQOsNwxjF7AFWGSa5lLgK6CxYRiHgca3vhcRERGR+KSCVmY7dkDduvDii5A9O6xZYwXhtFK9+siaX9M0jwEV4jh+CWiYGJMSERERSXOio63eYGPHWq3Mfv8dnJ2Te1axLlywOjhMmGCF3p9/hh49rA3m0pKU+SihiIiISFoSGgrt21vBt18/ayk1hQTfyEirR2+xYvDrr1ar4cOH4c03017wBYVfEREREdvz9QV3d6tlWcGCUK5cimxltnw5VKgA771nlR3v3m0F4WxpeN/ep9nkQkRERETu5+tr7fwQGmp9f/Kk9fW996Bv3+Sb112OHIH337fyeJEiMG8etG6dejs4PI6U8c8OERERkbRiwIA7wfdus2cn/Vzuc+0a9O8PpUtb3dW++gr27bO6OTwLwRcUfkVERERsKyjo8Y4ngrurLtzd4Y8/YMoUKF7c2jn55Zfh0CErCKdLl2TTShFU9iAiIiJiK9HRkCkTXL364HtJ1Cvs/qqLwEDo1g1iYqBqVZg7N8W1FU5SCr8iIiIitnDtGnh5WcHXwQGiou685+ICw4cnyTTiqrqIibmzn0YKedYu2Tzjty8iIiJiAwEBULMmLF5stTP77Tdwc7MKad3cwMfHCsZJIL7qiuBgBV/Qyq+IiIjI0/n3X2jXDiIiYMkSaNzYOp5EYfc207S6Ntjb37vofFta2aHtaSn/i4iIiDypKVOgQQPImhU2b74TfJPY3r3W0O3aQe7cDz7EloRVFymewq+IiIjI44qOho8+gtdeg9q1YdMmKFEiyacRHGy1DvbwAH9/aw+NwEBrp7ZkqrpI8VT2ICIiIvI4bj/YtmAB/O9/8P334OiYpFOIioJffoHPP4crV6BXLxgyBHLmtN738lLYjY/Cr4iIiEhCBQRYW6EdOGA92NanT5JPYeVKeOcda3OK+vWt7F2uXJJPI9VS2YOIiIhIQqxfbzXKPXnSerAtiYPvsWPQvj00agQ3bsCsWVYQVvB9PAq/IiIiIo/y2293HmzbtClJH2y7fh0+/RRKlYLly60H1w4csILws7IlsS0p/IqIiIjE5/aDba+/DnXqWB0dkujBtpgYmDrV2pJ4xAjo0gX++88KwunTJ8kU0iTV/IqIiIjE5do1ePllWLgQeveG775LsgfbNm+26no3b4YqVawSh+rVk2ToNE8rvyIiIiL3CwiAGjWs2t5x46xXEgTfM2es7mnVqlkty377zaqyUPC1Ha38ioiIiNxt/Xprt4ioKFi61HrCLJHdvGktLA8fbm0U9/HHVnlDpkyJPvQzRyu/IiIiIrfdfrAte3ar5iCRg+/tLYnLlIFPPoGGDWH/fqvGV8E3cSj8ioiIiERHw4cfWg+21a1r1RoUL56oQ+7bB02awAsvWA+wLV8Oc+dCkSKJOuwzT+FXREREnm1Xr1oJdNQoq3fv4sWQLVuiDXd7S+IKFWDbNmtL4l27krR72jNNNb8iIiLy7Dp+3Nqx7eBB66G23r0TbaioKPDxgYED496SWJKGVn5FRETk2bRunbVj26lT1oNtNgy+vr7g7g52dtbXTz+FihWtheUKFWDnTitrK/gmPa38ioiIyLNn8mR4800oVAgWLLBpfa+vL3h7Q2io9X1goPUAW86cMHu2VWGhndmSj1Z+RURE5NkRHQ0ffABvvJFoD7YNGHAn+N7N2dnqoKbgm7y08isiIiLPhqtXrR3bFi2Ct96CMWPAwbZRyDStld64nDxp06HkCWnlV0RERNK+Y8esHduWLoXx4+HHH20efLduhZo143/f1dWmw8kTUvgVERGRtOfuJ87y5rWeMjt9GpYtg//9z6ZDnT1rVVFUrWplbG9vcHG59zMuLtbubZL8FH5FREQkbbn9xFlgoFWHcO4c3LhhFeM2bGizYSIi4JtvrJLhP/6Ajz6CQ4fgl1+slmZublZ9r5ub9b2Xl82GlqdgmKaZZIN5enqa27ZtS7LxRERE5Bnk7h534a2bGwQEPPXlTdMqG37/fTh8GFq1gtGjoVixp7602JBhGP6maXref1wrvyIiIpK2BAU93vHHcPAgtGhh7Ythbw9Lllid0hR8Uw+FXxEREUk7tmyx6nzj8hRPnF25Yq30lisHGzdajSJ274ZmzZ74kpJMFH5FREQkbfj1V6hdG7JmhfTp733vCZ84i46GCROsut7vvoPXX7fqet99FxwdbTFpSWoKvyIiIpK6hYdDr17Qo4e1ccV//8HEiU/9xNn69VClivXsXIkS4O9vXSZ37kS6jzTEd48v7t+5YzfEDvfv3PHd45vcU4qlTS5EREQk9Tp5Ejp2hM2b4eOP4YsvrGJcL68nbq9w4oTVueGvv6BgQetr587amS2hfPf44r3Am9BIa5u7wJBAvBd4A+BVLvlbXmjlV0RERFKnNWugcmXYtw9mzoQRI6zg+4TCwmDoUGuVd+5c+Pxz6wG3Ll0UfB/HJ/98Eht8bwuNDGXAygHJNKN7aeVXREREUhfThB9+gH79oGhR8PODUqWe6nKzZsEHH1gd0jp1svr3urnZbspplWmaHAk+wqaTm6zXqU2cuHoizs8GhTx9tw1bUPgVERGR1CM0FHr2hD//hLZt4fffIXPmJ77c7t3wzjtWfq5QAaZMscqGJW5Xbl5hy6ktsWF386nNBIcFA5DJKRNV81clc7rMXA2/+sC5rllSxv7OCr8iIiKSOhw7Bu3awZ49Vm3vJ5/E39bsES5ehIEDrQfYsmWDn36yMvVTVE2kOdEx0ey7sO/Oqu7JTRy4eAAAA4MyucvQrmQ7qhWoRrUC1SiVsxT2dvYP1PwCuDi6MLxhytjfWeFXREREUr6lS+Hll60/L178xA12IyPh55+tet5r1+Ctt2DwYCsAP+vOXT/H5lObY4Pu1tNbuR5xHYCcLjmpVqAaXuW8qFagGlXyVyFzurhX3G8/1DZg5QCCQoJwzeLK8IbDU8TDbqDtjUVERCQli4mxHmQbOBDKl4fZs6Fw4Se61D//WCUO+/dDo0ZW394yZWw73ZTCd4/vQ8NnRHQEO8/uvGdV9/iV4wA42DngkdeDavmrxa7qFs5WGCOVPfUX3/bGWvkVERGRlCkkBLp1g3nzrFXfCROszSoSwNcXBgywdjTOlw/y5oXt263cPHcutGmTdjs4xNVqrOf8nmw6uQlHO0c2ndzE9jPbCY8OB6BA5gJUK1CNPlX6UK1ANSrlq4Szo3Ny3kKi0sqviIiIpDz791v1vUePwrffwttvJzit+vpaG1OE3ttti86drefj0qVLhPmmIG7fucXbWSG9Q3o8n/OMXdV9vsDzFMhcIIlnmDS08isiIiKpw6xZ8Npr1irvypWP3X7h008fDL5g7YORFoNvVEwU289sZ03AGvwC/eINvgYGVz++iqP9s70vc4LDr2EY9sA24JRpmq0MwxgM9AQu3PrIp6ZpLrb9FEVEROSZEB1t1SqMHAnPP29tXFHg8VYlt261Sh3iEt/x1CYyOpLtZ7bjF+DHmsA1rA9az7WIawCUzFmSjE4ZYx9Uu5trFtdnPvjC4638vgMcAO5+tG+MaZqjbDslEREReeZcugQvvQQrVsCbb8L33z/WMu3Zs1bns99+s7qfxcQ8+BnXlNFm9rFFRkey7fQ21gSuwS/Aj/VB67kReQOAUjlL0bV8V+q516OOWx3yZsyb4luNJbcEhV/DMAoALYHhwPuJOiMRERF5tmzfDu3bw5kzMHEidO+e4FPDw63N3oYNg5s34aOPoFgxq6vD3aUPLi4wPJVkv4joCLae2hobdjec2BAbdsvkKsNrHq9R160uddzqkCdjngfOT+mtxpJbQld+vwM+AjLdd/wtwzBexSqH6Gea5mUbzk1ERETSut9/t1Z6c+aE9euhSpUEnWaasGgRvPceHDkCrVtbz8UVK2a97+x8p9uDq6sVfL1SaPYLjwpn6+mtsWUM/wb9S1hUGADlcpfjdY/XY1d2c2XIlaBrepXzUtiNxyO7PRiG0QpoYZpmb8Mw6gEf3Kr5zQNcBExgGJDPNM034jjfG/AGcHV1rRwYGGjbOxAREZHUJyIC3n8fxo2DevVg+nTInTtBpx48CO++C8uWQcmSVr/epk0Tc7KP72F9dsOjwtl8anPsA2obT2yMDbvl85Snnls96rnXo7ZbbXK65EzO20jV4uv2kJDwOwJ4BYgC0mPV/M42TbPrXZ9xBxaapln2YddSqzMRERHhzBno1An+/Rf69YOvvgKHR/8y+soVGDoUfvwRMmSwdmbr0wccU9gzXHHV3KazT0fLYi0JvhnMppObuBl1EwODCnkrUM+tHnXd61LbtTY5XHIk48zTlicOv/ddpB53Vn7zmaZ55tbx94DnTdN88WHnK/yKiIg84zZsgI4drQ0sfv0VXnxodACsJhCTJlllDBcvQs+e8MUXkCthFQBJ7mF9divlq0Rdt7rWyq5rbbI5a1/lxJIYfX6/NgzDA6vsIQB48ymuJSIiImmZacJPP1n1Cq6uVs1CuXKPPG3dOuvhtR07oHZtqwlExYqJP93HdeHGBZYdXcbSI0sf2mfX39s/iWcm93us8Guaph/gd+vPryTCfERERCQtuHt/4QIFwN3dSrItWljvZc360NNPnLA6N/z1FxQsaH3t3DnlbEkcHRPNllNbWHJkCUuPLGXb6W2YmORyyUUGxwyx3Rnu5pollfZaS2O0w5uIiIjY1v37C584Yb3at4e//7Ya8cYjLAy++cYqAzZNGDTICsEuLkk094c4e/0sy44sY8mRJSw/upzLNy9jZ9jxfP7nGVJvCM2LNadSvkpM2ztNfXZTMIVfERERsa0BA+LeX9jfP97ga5rWhm4ffGAtFnfuDF9/DW5uiTzXh4iKiWLjiY0sPbKUJUeWsOPsDgDyZMhDmxJtaF60OY2LNCa7c/Z7zlOf3ZTtsR54e1p64E1EROQZYGdnpdn7GUacW6/t3g1vvw1r1kCFClZdb926STDPOJy6eoqlR5ay9OhSVhxdQUh4CPaGPTUK1qBZ0WY0L9qcCnkrYGfEv3otKUNiPPAmIiIi8iBXV4irr/99+wtfvAgDB4KPD2TLBj//DD16gL19Es0Taze1DSc2sOTwEpYeXcruc7sByJ8pPx1Ld6R50eY0LNyQrOmzJt2kJFEp/IqIiIhtDR9+b80v3LO/cGSkFXQ//xyuXYO33rJ69mazYdevh20yERQSFFvKsPLYSq5FXMPBzoFarrUY2WgkzYs2p2zushgp5ek6sSmVPYiIiIjt3d3t4a79hf/5x2pdtn8/NGpk7c5WpoyNh45nk4mGhRoSEBLA/gv7ASiYuSDNizanebHmNCzUkEzpMtl2IpKsVPYgIiIiScYXLwbgRRDgCrxzHta8APPmQeHCMHcutGmTOK3LBqwccE/wBQiPDmfxkcU0KtyI7hW706xoM0rlLKXV3WeQwq+IiEhaNWwY5M1rbYmWhO7vdBYYCO+/D05OMGIEvPcepEtn+3FPhJxg9oHZBIbEUW+MtcnEildW2H5gSVUUfkVERNIiHx+rqPaNN6ynyJJwhTO+Tme5csHHH9t2rCPBR5i1fxazDsxi6+mtADjaORIZE/nAZ7XJhIDCr4iISNozbx7873/QsiX88kuSb4sWFPfuvpw+/fTXNk2TfRf2MWv/LGYfnB3bncHzOU9GNBxB+1Lt2Xp6qzaZkHgp/IqIiKQlGzbAiy+CpydMnw4OSf+f+gR2Oksw0zTxP+PP7AOzmXVgFocuHcLAoKZrTcY0HUO7ku1wy3pnN4ziOYoD2mRC4qZuDyIiImnFgQNQs6ZVX/Dvv5AzZ7JM4/6aX7A6nfn4gFcC82eMGcOGExuYfWB2bB2vvWFP/UL1aV+yPS+UfIF8mfIlzg1ImqBuDyIiImnZqVPQtKn1JNnSpckWfOFOwI2j09lDRcVEsSZgDbMOzGLOwTmcvX4WJ3snmhRpwqC6g2hTog05XHIk/g1ImqbwKyIiktpduQLNm1tf166FQoWSe0Z4eSVslTc8Kpx/jv3DrAOzmPffPILDgnFxdKF50eZ0KNWBlsVbkjld5sSfsDwzFH5FRERSs5s34YUX4OBBWLIEPDxi31q92loALlcu2WYXpxsRN1h6ZCmzDsxi4aGFXIu4RuZ0mWldvDUdSnWgadGmuDi6JPc0JY1S+BUREUmtoqPhlVdgzRqYNg0aNox9a9MmaN0aKlcGP78kb/jwwPbCn9X+DGdHZ2YfnM2Sw0sIiwojh3MOOpfpTIdSHWhYuCFO9k5JO0l5Jin8ioiIpEamCe++CzNnwujRVoeHW/bssaog8uSBv/5KnuB7d6uxwJBAei60NtrIlzEfb1R8gw6lOlDbrTYOdooikrT0N05ERCQ1GjkSxo6FDz6wtky75cgRaNLE6q7wzz+QLxkaIsS1vTBAngx5OPn+SewMu6SflMgtCr8iIiKpzW+/wSefWE+UjRwZe/jkSWjUCCIjk/e5t6CQuHe5OH/jvIKvJDv9DRQREUlNliyxtitu3BgmTQI76z/lFy9aK77BwVans9Klk2+K8W0jrO2FJSVQ+BUREUkttmyBjh2hQgWYNQucrAfErl6FZs3g+HFYsMDa3C05DW84/IFuDdpeWFIKhV8REZHU4PBhaNkS8uaFxYshUyYAwsKsrg67dsHff0Pdusk8T8CrnBc+rX1wy+KGgYFbFjd8Wvtoe2FJEVTzKyIiktKdPWvt3gZWTUOePIBV29upE6xbZ20p3KrVvacN9htM3ox56eXZK4knbAVghV1JibTyKyIikpJduwYtWsC5c9aKb7FigNXi99VXYdEiGD8eXnrp3tO+XPclQ9YMYdvpbZimmQwTF0mZtPIrIiKSUkVEQPv2VuPeBQugShXAavHbp4/Vw/err6DXfQu7ozeOZsCqAXQt35VfWv2CkdSNfkVSMIVfERGRlCgmBl5/3WrW+9tv1hNtt3zyCfzyC/Tvb73uNm7LOPot70en0p2Y3HYy9nb2STtvkRROZQ8iIiIpUf/+8OefMGIEdOsWe/irr6zWvm++ab11t4nbJ/LWkrdoW6Itvu19tXuaSBwUfkVERFKa0aNh1Cjo2/eepd2ff7ZWfV96CcaNu3fb4qm7puK9wJtmRZsxveN0HO0dk2HiIimfwq+IiEhKMm0a9Otn9fMdMyY24U6bBr17W93OpkwB+7uqGWbsm8Fr816jfqH6zO48m3QO6fD19cXd3R07Ozvc3d3x9fVNphsSSVn0+xAREZGUYuVKq8Shbl2YOjU24S5caHV2qF3b6uXreNei7tyDc3l51svUKFiD+S/Ox9nRGV9fX7y9vQkNDQUgMDAQb29vALy81H5Mnm1a+RUREUkEj73yumMHtGsHJUvC3LmQPj0Afn5WL98KFayGD3Z24Zw5c4Z9+/bx9Zyv6TSjE26ObjQPbs6IoSPo3bv3PcH3ttDQUAYMGJA4NyuSihhJ2fvP09PT3LZtW5KNJyIikhzuX3kFcHFxwcfHBy8vL0zT5MaNGwQHBxMcHEzovn1U6tOHSHt7fn/zTYKiowkODubo0WysXTsYB4czZM/ejpCQo3euWRh4GTgP/A7cBDs7O7Jnz87FixfjnJdhGMTExCTy3YukDIZh+Jum+cBm3wq/IiIiNubu7k5gYOADxx0cHMiRIwfBwcFERkYCkBP499bXmsBBwMnJicyZq3H58lwcHG5St+4A8ueH7Nmzkz17di5lvMTYK2PJ75yfibUnUihPIbJnz06mTJliV5rjGt/NzY2AgIBEvHORlCO+8KuaXxERERsLCgqK83hUVBRt27aNDbG5M2Sg9XffkSUwkICJE1lRvz7Zs2fn7Flnatc2yJXL2rq4aNFJsdfYeGIjTf5oQuEchVnz2hpyZ8j9wDjDhw+Pc+V5+PDhtr9ZkVRG4VdERMSGdu3ahb29PVFRUQ+85+bmxi+//GJ9ExkJL7wAR4/CnDkUadMGgDNnoHFjCAuDNWugaNE75287vY1mvs3ImzEvK19dGWfwhTsPtQ0YMICgoCBcXV0ZPny4HnYTQeFXRETEZv7880969OhBxowZuXnzJjdv3ox9756VV9MEb29YvNjaqu1W8A0OhiZN4Nw5a2O3cuXuXHvX2V00mdqE7M7ZWfXqKp7L9NxD5+Ll5aWwKxIHdXsQERF5SpGRkbz77rt4eXlRpUoVDh48yMSJE3Fzc8MwDNzc3GIfdgNg4EBry+LBg60QDFy7Bs2bw6FDMG8eVKt25/r7L+yn0dRGZHDKwKpXV1EwS8Ekv0eRtEIPvImIiDyFc+fO0blzZ9auXcu7777L119/jaPjQ3ZXGzcO3noLeva0Vn0Ng5s3rc0r1qyBmTOtaojbDl06RN3f6gKw9rW1FMtRLHFvSCSN0ANvIiIiNrZp0yY6dOjA5cuX+eOPPx5dZjBrlrVlcZs2MH48GAZRUfDii7BqlbVz293B99jlYzSY0oDomGj8XvNT8BWxAZU9iIiIPCbTNPnll1+oU6cO6dOnZ+PGjY8OvmvXgpcXVK9u7VXs4EBMDLzxhlXm8MMP1i5utwWFBNHw94aERYXxz6v/UDpX6cS9KZFnhMKviIjIY7h58yY9e/akV69eNGrUiG3btlGhQoWHn7Rnj7XaW6iQtU2biwumCe+8Y+1iPGyYtSB82+lrp2n4e0OCw4JZ3nU55fOUT9ybEnmGKPyKiIgkUFBQELVr1+bXX39l4MCBLFiwgGzZsj38pBMnrCfZMmSApUshe3YABg2CsWPh/ffh7l2Hz10/R8PfG3L2+lmWei2l8nOVE/GORJ49qvkVERFJgFWrVtGlSxciIiKYN28ebW61J3uo4GBo2hSuX7d2q3BzA+Dbb63V3u7dYdQoMAzr4xdDL9JoaiOCQoJY4rWE6gWrJ+IdiTybtPIrIiLyEKZpMmrUKBo3bkzu3LnZsmVLwoKvaUKHDtYmFnPnxjbt/fVX+OAD6NQpttkDAFduXqHJ1CYcvnSY+S/Op45bncS7KZFnWILDr2EY9oZh7DAMY+Gt77MbhrHCMIzDt74+4vc+IiIiqcv169d58cUX+fDDD2nfvj2bNm2iRIkSCTt51izw84Mff4R69QD4+2+rrW/TpvDHH2Bvb330avhVmv3RjL3n9zKnyxwaFm6YKPcjIo+38vsOcOCu7z8GVpqmWQxYeet7ERGRNOHw4cNUq1aNmTNn8vXXXzNjxgwyZcqUsJMjI+HTT6FMGau2Aavc93azh1mzwMnJ+uiNiBu0/LMl/mf8+bvT3zQv1jyR7khEIIHh1zCMAkBLYOJdh9sCU279eQrwgk1nJiIikkwWLFiAp6cnZ8+eZdmyZXz44YcYt+sTEmLiRDh8GL76CuztWb8e2re3svDChdazbwBhkWG0+asNG05swLe9L21Ltk2cGxKRWAld+f0O+AiIuetYHtM0zwDc+prbtlMTERFJWjExMQwaNIg2bdpQtGhR/P39adSo0eNd5Pp1GDIEateGli3ZscPava1gQVi2DLJmtT4WHhVOu+ntWH18NVNemELnMp1tfj8i8qBHdnswDKMVcN40TX/DMOo97gCGYXgD3gCurq6Pe7qIiEiSuHz5Ml27dmXx4sW89tprjB8/Hmdn58e/0JgxcO4czJ3Lf4cMmjaFLFlgxQrIfWuZKCI6gk5/d2LZ0WVMbD2RruW72vZmRCReCWl1VhNoYxhGCyA9kNkwjD+Ac4Zh5DNN84xhGPmA83GdbJqmD+AD4Onpadpo3iIiIjazZ88e2rVrR1BQED/99BNvvvnm45U53Hb+PHz9NbRvT1iFarQoax3+5x+4vf4TFROF12wvFhxawLgW4+heqbvtbkREHumRZQ+maX5immYB0zTdgReBVaZpdgXmA91ufawbMC/RZikiIpJI/vrrL6pVq0ZYWBhr1qyhV69eTxZ8Ab74AsLC4Msv+f57OHbM2sm4eHHr7eiYaLrN7cbM/TMZ3WQ0vav0tt2NiEiCPE2f36+AxoZhHAYa3/peREQkVYiKiqJfv3689NJLVK5cGX9/f6pXf4pNJY4ehZ9/hh49OJ+tBF9+Ca1bQ8NbXctizBi8F3jz554/+bLBl7xX/T3b3IiIPJbH2uHNNE0/wO/Wny8BakQoIiKpzvnz5+nSpQt+fn68/fbbjBo1CkdHx6e76MCB4OgIgwYxaJC1APzNN9Zbpmny1uK3mLRzEp/X+ZxPan/y9DchIk9E2xuLiMgzZfPmzXTo0IHg4GCmTp1K1642eNjM39+qbxgwgH3B+fDxgd69oUQJK/i+t+w9ftr2Ex/V+IjB9QY//Xgi8sS0vbGIiDwzJkyYQJ06dXB0dGTDhg22Cb4AH38MOXLARx/x4YeQKRMMGmQF309WfsL3m7/nneff4atGXz15PbGI2ITCr4iIpEm+vr64u7tjZ2eHm5sb9evXx9vbm/r16+Pv74+Hh4dtBlqxwmrnMHAgyzZmZskS+OwzyJkThq8bzsh/R9Krci/GNB2j4CuSAhimmXTdxzw9Pc1t27Yl2XgiIvJs8vX1xdvbm9DQ0HuOt23bllmzZmFvb2+bgWJiwNMTLl8met9BPJ5Px40bcOAAHLi8k0q/VOLlci/ze7vfsTO03iSSlAzD8DdN0/P+46r5FRGRNGfAgAEPBF+AnTt32i74Avz1F+zYAX/8wSTfdOzdC3//DU5OJu8ufZfsztn5sfmPCr4iKYjCr4iIpDlBQUGPdfyJhIfDgAHg4cG1Vi/xWXGoWRM6dIC5B+eyJnAN41qMI5tzNtuNKSJPTeFXRETSHFdXVwIDA+M8bjM//wwBAbBsGSO/seP8eZg/HyKiw/lgxQeUzlUa78rethtPRGxCv4cREZE0p2/fvg8cc3FxYfjw4bYZICQEhg2Dhg0JKtGYb7+Fl1+G55+HHzb/wLHLxxjTdAwOdlpjEklpFH5FRCTN2bx5M05OThQoUADDMHBzc8PHxwcvLy/bDDBqFFy6BCNH8ukAA9OEL7+Ec9fPMWztMFoWa0mTIk1sM5aI2JT+SSoiImnKli1b+Pvvvxk0aBCDBw+2/QBnzsDo0fDii2yNqYyvL3zyCbi5wZsLPicsKoxRTUbZflwRsQmFXxERSTNM06R///7kypWLfv36Jc4gQ4ZAZCTmsC94/3XIndva42LX2V1M3DGRvlX7UjJnycQZW0SemsKviIikGUuXLsXPz48ff/yRTJky2X6A//6DiROhd2/m7C7C+vXWc2+ZMpm8P/d9sqbPyud1P7f9uCJiM9rkQkRE0oTo6GgqVqxIaGgo+/fvx8nJyfaDdOgAy5cTvv8oZernJn162LkTFh+dT9u/2vJj8x95q+pbth9XRB6bNrkQEZE07c8//2TPnj389ddfiRN8N22C2bNhyBDG/Z2bo0dhyRKIMSLot7wfpXKW4s3Kb9p+XBGxKYVfERFJ9W7evMlnn31G5cqV6dSpk+0HME346CPIk4dL3d5nmAc0bQrNmsHojWM5EnyExS8vxtHe0fZji4hNKfyKiEiqN378eIKCgpg0aRJ2donQxXPRIli3DsaPZ+jojFy9anU7u3DjAkPXDKVZ0WY0L9bc9uOKiM0p/IqISKp25coVhg8fTpMmTWjYsKHtB4iOtto5FC3KoTo9GP829OgBZctC70WDuB5xnW+bfGv7cUUkUSj8iohIqvb1118THBzMyJEjE2eAqVNh3z6YMYOPBjiSPj0MHQp7z+/lF/9f6O3Zm9K5SifO2CJic9rhTUREUq1Tp07x3Xff4eXlhYeHh+0HCAuDgQOhalX8cnZk3jz49FPIndvkvWXvkTldZgbXG2z7cUUk0WjlV0REUq0hQ4YQFRXFsGHDEmeAsWPh5Elipkzl/X4Grq7w7ruw6PAi/jn2D981/Y4cLjkSZ2wRSRQKvyIikiodOHCAX3/9lb59+1KoUCHbD3D5Mnz5JTRvztQT9dixA3x9wd7Jam1WIkcJelfpbftxRSRRKfyKiEiq9Omnn5IhQwY+++yzxBngq68gJITQQV8xoANUqQIvvgg/bBnPoUuHWPjSQrU2E0mFFH5FRCTV2bBhA3PnzuWLL74gZ86cth/gxAn4/nt45RVGLSvPqVPw118QfPMiQ9YMoUmRJrQo1sL244pIolP4FRGRVMU0Tfr370/evHl59913E2eQQYPANDnXZygj60PHjlCrFry1eDBXw68yusloDMNInLFFJFEp/IqISKqyYMEC1q9fz88//0yGDBlsP8DevTBlCrz3Hp/+4kZkpFUBsf/Cfn7e9jO9KveiTO4yth9XRJKEYZpmkg3m6elpbtu2LcnGExGRtCUqKooKFSoQFRXF3r17cXRMhJrb1q1h3Tr2zD1KhQY5eP99aze35r7N2XhiI0fePkJOl0QotRARmzIMw980Tc/7j2vlV0REUo3ff/+d/fv3M2vWrMQJvmvXwsKFmF+O4N1hOcieHT77DJYcXsLSI0sZ3WS0gq9IKqeVXxERSRXCwsIoVqwYBQoUYOPGjbavuTVNqFEDTpxg8feHadnRmR9+gF69Iyn/c3miY6LZ23svTvZOth1XRBKFVn5FRCRV++GHHzh16hS+vr6J87DZnDmwaRNRv0yk32fOFC8OvXrBz9t+5uDFg8x7cZ6Cr0gaoPArIiIpXnBwMCNGjKBly5bUrVvX9gNERcEnn0CpUvjc7MbBgzBvHlyLCmaQ3yAaFmpI6+KtbT+uiCQ5hV8REUnxRowYwdWrV/nqq68SZ4BJk+DQIa77zuXztx2oX9967u3dpUMICQ9hdFO1NhNJK+ySewIiIiIPExQUxI8//ki3bt0oW7as7Qe4ccPq61uzJkN3tCE4GL79Fg5ePMC4rePoWakn5fOUt/24IpIstPIrIiIp2qBBgwAYMmRI4gzw3Xdw9iynf5jJ910NunWDihWh5Z8fkMEpA0PrD02ccUUkWWjlV0REUqw9e/YwZcoU+vbti6urq+0HuHgRRo6Etm15b2ZNHBzgiy9g6ZGlLD68mIF1BpI7Q27bjysiyUbhV0REUqxPPvmELFmy8MknnyTOAF98ATdusKPzCGbMgI8+gjz5onh/2fsUyVaEvlX7Js64IpJsVPYgIiIp0po1a1i0aBEjR44ke/bsth/g+HEYPx7z9Tf43w+leO45+OAD+GXbLxy4eIA5XeaQziGd7ccVkWSl8CsiIimOaZr079+f/Pnz07dvIq2+DhwIDg7MrzSYzb/C5MkQYXeZz/0+p757fdqWaJs444pIslL4FRGRFGf27Nls3ryZX3/9FWdnZ9sPsGMH+PoS9eEnvPN1fjw84NVXod/yoVwOu8yYpmPU2kwkjVL4FRGRFCUyMpJPP/2UMmXK0K1bt8QZ5OOPIXt2xrp8RGCg1eb3yOVDjN06lh6VelAhb4XEGVdEkp3Cr4iIpCiTJk3i0KFDzJ8/H3t7e9sP8M8/sHw514Z8y+ejstKmDTRoAG2mfYCzgzPD6g+z/ZgikmIo/IqISIpx48YNBg8eTK1atWjVqpXtB4iJsVZ93dz49GQfwsLg669hxdEVLDi0gJGNRpInYx7bjysiKYbCr4iIpBhjxozh7NmzzJo1K3FqbmfMAH9/Tn75O+M/S0efPlCkWBQdf3mfwtkK887z79h+TBFJURR+RUQkRbhw4QJff/01L7zwAjVq1LD9ABERMGAAlC9Pr7UvkzmztavxxO0T2Xt+LzM7zVRrM5FngDa5EBGRFGH48OHcuHGDESNGJM4APj5w7BjbO3/FoqX2fPYZ2Ge4wsDVA6njVof2pdonzrgikqIo/IqISLI7fvw448ePp3v37pQsWdL2A1y9CkOHYtarT7dpzShcGN56C75Y+wWXQi+ptZnIM+SR4dcwjPSGYWwxDGOXYRj7DMMYcuv4YMMwThmGsfPWq0XiT1dERNKizz77DAcHBwYNGpQ4A3z7LVy4wNwaI9m7z2DkSAi6fpgfNv/A6x6vUylfpcQZV0RSnITU/IYDDUzTvG4YhiOw3jCMJbfeG2Oa5qjEm56IiKR1O3bs4M8//+STTz4hf/78th/g7Fn49lsi23Xif79WoWZN6NAB2k3/kHQO6fiiwRe2H1NEUqxHhl/TNE3g+q1vHW+9zMSclIiIPDs+/vhjsmfPTv/+/RNngKFDITycsXmHc+4czJ8Pq46vZN5/8/iywZfky5QvccYVkRQpQTW/hmHYG4axEzgPrDBNc/Ott94yDGO3YRiTDMPIFs+53oZhbDMMY9uFCxdsM2sREUkT/vnnH5YvX85nn31GlixZbD/AoUPg48O1l735dHIxXn4ZKntG896y93DL4sZ71d+z/ZgikqIlKPyaphltmqYHUACoahhGWeAnoAjgAZwBvo3nXB/TND1N0/TMlSuXTSYtIiKpX0xMDB9//DFubm707t3bthePioL166FXL0ifno9vfA7AiBHw645f2XN+D980/ob0DultO66IpHiP1efXNM0rhmH4Ac3urvU1DGMCsNDGcxMRkTRsxowZ+Pv78/vvv5MunQ366549C0uXwpIlsHw5XLkCDg4EvjOa8d/m4dNPIUvuED6b/hm1XGvRsXTHpx9TRFKdR4ZfwzByAZG3gq8z0AgYaRhGPtM0z9z6WDtgbyLOU0RE0pCIiAgGDBhAhQoV8PLyerKLREfDli2weLH12r7dOp4vn/VEW/PmmA0b8UqbLOTObe1q/MW6L7kYepElTZeotZnIMyohK7/5gCmGYdhjlUnMME1zoWEYUw3D8MB6+C0AeDPRZikiImmKj48Px44dY8mSJdjZPUbL+QsX7qzuLlsGwcFgbw/Vq8OXX0Lz5lChAtwKtnNmw7p18MsvcD7yKN9t/o5uHt2o/FzlRLozEUnpDKuZQ9Lw9PQ0t23blmTjiYhIynPt2jWKFClC2bJlWbly5cNXYGNiYNs2a2V3yRLYuhVME/LkgWbNoEULaNwYst155vrqVVixAhYuhDlzoEAB2LkTuszuwLIjyzjU9xDPZXou8W9URJKVYRj+pml63n/8sWp+RUREntaoUaO4cOECI0eOjDv4XrpkreouWWKt8l68aK3kVqsGQ4ZYgbdiRbhrxfjYMSvsLlwIfn4QGWnl4ZYtYcAAWH/Sj9kHZvNF/S8UfEWecVr5FRGRJHP27FmKFi1Ky5YtmT59unUwJgZ27Lizurt5s3UsZ847q7tNmkCOHLHXiYqCTZtgwQIr8O7fbx0vWRJat4ZWraBGDXBwgOiYaDwneBIcFszBPgdxdnROhjsXkaSmlV8REUl2w4YNIzw8nC8//BBmzLgTeM+ft1Z3q1SBgQOtwFu5slXPe8uVK9aC8MKF1mnBwVa4rVsXeva0Am/Rog+O+dvO39h5difTOkxT8BURhV8REUkCpkng/Plk+/lnDuTJQ5Fq1axuDdmyWau7zZtD06aQO/c9px0+fGd1d906a8U3Z04r6LZqZS0IP2xvjKvhVxmwagDVC1SnS5kuiXyTIpIaKPyKiEjiuHHDWqpdtAiWLMHtzBm+ACJz5YLu3a3V3apV71ndjYyEf/+9E3gPHbKOly0LH35oBd7nn7/nlHiFRYYxYOUAzt04x/yX5qu1mYgACr8iImJLFy5YyXXuXKvlws2bkCULl6pUod+ZM5Tt148PRo2655TgYKvyYeFC6/m2K1fAyQnq14e337YeWnN3T9jwp6+dZuGhhSw4tICVx1YSFhXG6x6vUzV/VVvfqYikUgq/IiLydI4ds8Lu3LnWsm1MDLi5wZtvwgsvYNasSccmTdiXKxc/DhqEacLBg3dWd2+fkicPtG9vre42bgwZMz56aNM02X5mOwsOLWDhoYX4n/EHwD2rOz0q9aBV8VY0KNQgUW9fRFIXdXsQEZHHY5pW49y5c61Gunv2WMfLl4d27eCFF+7ZaGLp0qU0b96GPn1m4ODwAgsWWHkZwMPjTncGT897upfFKywyjJXHV7LgvwUsPLyQ09dOY2BQvWB1WhVrResSrSmTq4zKHESecer2ICIiTy4qynri7PYKb1CQlVRr1YLRo6FtWyhc+J5TfHz+5tNP/+XSpZrARcaNy0z69NCw4Z363QIFEjZ8XOUMGZ0y0rRIU1oXb02LYi3IlSGXre9aRNIghV8REYnbjRuwfLkVdhcutIpz06e3WiwMHmyl11z3Bs4LF2DePPjhh9Ps2fMC0Ak4BUzDyWkF48Z15I03Xnzk0I8qZ2hdvDV13OqQziGdjW9aRNI6lT2IiMgdFy9aQXfuXCv4hoVZ7chatbLKGZo2hQwZ7jnlzBmr+mHWLGt3tZgYsLM7TkzMDGAWsDX2s25ubgQEBMQ5dGhkKKuOr4qznKF18da0Kt5K5QwikmAqexARkbgdP24t186da5U2xMRAwYLQo4cVeGvXBkfHe045ccIKu7NmWQ+smSbkzh2Mq+siTpz4nuho/ziHCgoKuuf7uMoZMjllomnRprQq1krlDCJicwq/IiLPGtOEXbvu1O/u2mUdL1cOBgywAm/FirEPrN127JgVdmfOhC1brGO5cp0mR45ZXLz4E+fPH6BMmTJ8+GFrJk8+yblz5x4YuqBrQfxP+z+0nKGue12c7J0S7/5F5Jmm8CsiaZdpwsmTVg8tp2c8TEVFWUu0twNvQIAVbmvWhFGjrAfW4tgb+ODBO4F3507rWPbsx3B2/oOwsKlcuRJI3bp1ad26F61ataLwrYfeypYti7e3N6GhoeAIFAKH0g5cq3wNzwmeseUMIxqOoHXx1pTOVVrlDCKSJBR+RSRtOXMGVq6Ef/6xXqdOWfvftmplteFq1uyBmtU06/p162cwb57VVPfSJUiXDho1gs8+s34mefLcc4ppWp3Lbgfe/fut41my7MXObgoxMX9jGNfp2LEFrVt/SdOmTcmcOfMDQ7do34KuV7syddtUwvKFgSM4GA40LNGQ1sVb07xoc5UziEiyUPgVkdQtJATWrLkTeG+ntRw5rJ5aNWpYS5YLFoCv751uBe3aWQ1mc+RI1unblGla+wEvXmy91q6FiIg74f/2A2uZMj1wmr//7Rpek8OHDQwjBmfnbcDvwByeey4LrVu3pnXrP6hevTr2cewvfOHGBeb9N4+Z+2ey8vhKomKicC3nStsSbVXOICIphsKviKQu4eGwadOdsLtlC0RHg7Mz1KkDr71mrWxWqHDvjglRUbB+vdWWYM4cmD8f7O2th7lub8zg6ppcd/XkwsKs8H878B49ah0vXdraG7hFC6u04b6yj5gY2LzZWt2dOTOGoCA7DCMaB4e1wDTs7BZSvXppWrduTatWaylSpEicw5+5doY5B+cwc/9M1gSuIcaMoUi2IvSr3o8OpTrg+ZynyhlEJEVRqzMRSdliYmD3bivorlxprWaGhlrBtmpVK+g2bAjVq1u/0k8I04Tt2+8E4durxZUrW0G4XTsoVeqBB75SjMDAO2F35UorADs7Q4MGVtht3hwKFcLX15cBAwYQFBSEq6srw4Z9iavry8ycCX//HcW5cw4YRgSwAtOcSdas62jVqjqtW7emadOmZMmSJc7hg0KCmH1gNrMOzOLfoH8xMSmZsyQdS3WkY+mOlM9TXoFXRJJdfK3OFH5FJOU5fvxOze6qVVbvWbACaaNG1qtuXevX+bZw6NCdILx5s3WsePE7QbhKlYTtu5tYIiOth9UWLbIC7+2wXqgQtGxpverWtQLwLb6+vrceOIsA6gEdgReAPBjGTUxzMTCLYsUO8cIL9WndujXVq1fHwSHuXwgeDT7KrAOzmHVgFltOWa0eyucpT8dSHelQugOlc5VOvPsXEXkCCr8iknJdvGiF3NuB9/hx6/hzz90Juw0aQP78iT+XU6fu9Lxdvdoql3juOass4oUXoF69B3reJoozZ2DJEivsrlgBV69a49ata63utmhhBfQ4VlivX4dChXpx8WJNoCWQHbgOLARmUbv2Ddq1a0zr1q0pGkeHh9sOXjzIrP2zmHlgJjvP7gTA8znP2MBbNHv854qIJDeFXxFJOW7csDZTuF23e7uHVubMUL/+ncBbosQTlR5ERsKGDbBsmVUlUaSI9Yxbo0YPNDd4uMuXrdXWOXNg6VKr3CJr1judI+LY7eyJRUdb9cu3yxm2b7eO589/J+w2bPjAw2q3nT1rPdM3a1Y0q1ZBZKQ9cAkr8M4BlgE3MQyDmJiYOK9hmiZ7zu+JDbz7L1grzDUK1qBDqQ60L9Ue96zutrlfEZFEpvArIsknKgq2br0TdjdssBKqk5PVjeF22K1cGeL5tfujBARY+XTZMmuYa9esS1WuDEeOWF2+ADw8rCDctKn1HFhCy4QJC7O2+50zx0qZwcFWmcHdnSOyZ3+8SV+6ZE148WJr8pcuWeUVNWrcCbzly8f7D4CDB61F6jlzotmyxQ7TNDCM45jmXAxjPqa5Doi+55z7txc2TRP/M/7M2m+VNBwOPoydYUdt19p0LN2RdiXbkT9zEqy4i4jYmMKviCStmBgr2E2caAXeq1etEFexorWC2agR1KoFLi5PdPnQUKvJwbJlVm787z/ruJub1cq3WTOrUiJzZmsqO3ZY2XXZMqt8NirKyq716ln5tUmTx3jGLSrKWrm+XSd88qTVOaJu3TudIwoUePA807RWuW/X7m7ebE0uZ07rIbWWLaFx43hDdEyM1ejCCrwxHD5s1SHb2W0nJmYO2bOvo1OnUnTu3IlTp07Rq1cva5OJW1xcXPDx8eGll19i88nNzNw/k1kHZhEYEoi9YU+DQg3oWLojL5R8gdwZcj/W/x4iIimNwq+IJI3Ll2HyZPjpJ2vJNU8ea/ewRo2skoacOZ/osqYJBw7cWd1ds8bqepY+vRVgbwfeeMpg73HtmnX+8uXW63ZwLlDgThBu1CiBLYBvN8m9HYQPHLCOV6liBeEWLayfw+LFVg3vmTN33r+9uuvpGe8DdTdv3tmnYv78GM6ft8MwojCMNcTEzCZHjg106lSNzp07U6dOnXv6797d7aGgW0FeGfAKV/NfZfaB2Zy6dgpHO0eaFGlCh1IdaFOiDTlc0lDPYxF55in8ikji2rkTxo2zNpIIC7NWdfv0gfbtn3hr4StXrBKG26u7J05Yx0uVuhN2a9e+p8nBEwkIsJ4pW77cCppXrlgBunJlqzyiSROoVi2Bt/Hff3eC8JYtd45nyWJdrEULa+IPKT4ODrYWh+fOhWXLTG7cMHBwCMU0FxMdPYucObfRqVNjOnXq9EDgvVtEdARrAtYw68As5hycw/kb50nvkJ7mRZvToVQHWhVvRZb0NuqYISKSwij8iojtRURY24KNHWvV8To7Q9euVuitUOGxLxcTYz3ndXt1d+NG6zmwzJmtldhmzaz8mJC9KC6FXmJ90Hq2nt5KsezFaFa0GXkyPvppt+ho2LbtTonEpk3WsYwZrYXr2yvDxYoloETi1CkrVRcubNXxPqSeOSDgTpOJdetMoqMN0qe/RGTkbKKjZ5I79wE6dmxNp06dqF27dryB98rNKyw5vIR5/81jyZElXA2/SgbHDLQs3pKOpTrSvFhzMjplfOTPQUQktVP4FRHbOXUKfvkFfHzg3DmrnUKfPtbuatmyPdalzp27EzSXLbvT0rdy5Turu88//+juYidCTrAuaB3rAtexLmgd+y7se+AzlfNVpnnR5jQv1pzn8z+PvV3cAfJuISFWx7PbJRK3N1Bzd78ThBs0eOzbxjStOuR586zXrl3W8cyZgwgN/YuoqJnkzn2Cjh3b07lzZ2rVqhVv4A0KCWL+f/OZ9988/AL8iIqJIneG3LQu3pq2JdrSqHAjnB2fcnlcRCSVUfgVkadjmuDnZ5U2zJ1rLdO2bGmF3iZNErwJRGSktaJ7e3X3dkev3LmtyzRrZj3zlfshz1uZpsmhS4dYF7SOtYFrWRe0joArAQBkcspETdea1HatTR23OlTOV5kDFw+w5PASlhxZwsaTG4kxY8iWPhtNijShedHmCV4VBiv83g7Ct7tK3N5s7nYXiapV417kjYy0Wq/NnWsF3hMnwDBMsmc/QEjI70RFzSRv3ht06NCBTp06xRt4TdNk59mdzPtvHvP+mxfbg7dkzpK0Kd6GtiXbJjjci4ikVQq/IvJkrl2DqVOt0Lt/v9WJoHt3+N//rB3GEiAw8E7Y/ecf65L29larsaZNrcDr4RF/fo6OiWbXuV2xq7rrgtZx/sZ5AHK55KKOWx1qu9amtlttKuSp8NDQdznsMiuOrWDJkSUsPbKUs9fPAlApXyVrVbhoc54v8DwOdo9uuRYZaZX1LltmheGtW61/E2TObDW0yJp1C8uWfcLp0zlwcXkZaE5oaDocHaPIkWM7Fy9OJCpqDvnyOcYG3po1a8YZeG/X787/bz7zD80nKCQIA4MaBWvQtkRb2pZsS/EcxR85ZxGRZ4XCr4g8ngMHYPx4mDLFSquVKsFbb8GLLyboCbOQEOtUHx/Yd6sCwdX13jZk8e1OHB4VztbTW2NXdTec2MDV8KsAuGd1j13Vre1am+I5imM8wUYYADFmDLvO7mLJkVurwic2Em1GkzV91thV4aZFmpIvU74EXS842NqobvlymD37Bpcu3b0BxkUMYyGGsYCYmKXky5eFDh060LlzZ2rUqBFn4A25GcKSI7fqdw8vISQ8BGcHZ5oUaULbEm1pVbwVuTLkeqJ7FxFJ6xR+ReTRoqKsDRzGjbN+p+/kBJ07W6UNzz+foCa4+/dbz7/9/ru1kdvzz1t5uVmz+DdsuxZ+jQ0nNsSWMWw5tYXw6HAASucqTR3XOtR2q01t19oUzFLQ1ncd68rNK6w4emdV+Mx1qy2ZR16P2FXh6gWrJ2hV2M3NnaAgJ6AOcAjYAESTKVMmFi1aRM2aNbGLY6n7dv3u/P/m4xfgR2RMZGz9bpsSbWhUuBEujk/WG1lE5Fmi8Csi8Tt/3tqM4uefrULUggWhVy/o0ePhxbe33M7MY8daK5/p0sFLL1mZ2fOB/9uBCzcu3PNw2o6zO4gxY7A37KmUr1Lsym5N15rkdHmyvsBPyzRNdp3bFVsrvOHEBqLNaLKky0LjIo1ja4Wfy/TcPefFxMSwePFiWrduHed1799e+PY48w5a9bs7zu4AoESOErHlDKrfFRF5fAq/InIv07R2GBs7Fv7+22pb1rChVdrQqlWCthm+eNHKzD/9BEFBVmbu3dsqCc5112/jA68E3vNw2sGLBwFI75CeagWqWfW6rrWpXrB6im3DdeXmFf459g9LDi9h6dGlnL52GoAKeSrQvGhzGhdqTMD6AEZ/M5p9+/Zhb29PdHT0A9dxc3Pj8NHDrAlcw7yD8+Ks321Tog0lcpZI6lsUEUlTFH5FxBIWBn/9ZYXe7dshUybo1s1KraVKJegS/v7W6dOmWbusNWgAffvem5n3nt+L725fpu+bzvErxwHIki4LNV1rxpYxVM5XmXQO6RLrThONaZrsPrebJUeWsPC/hVYHCWLgJmS+mJlOFTtRNn1ZBvQdcGd74XTgVMaJyi9XZn/k/gfqd1sWb6kthUVEbCi+8PvopR0RSRuOHbOWaCdNsp7MKl3aqu195RUrAD9CRIS1QDx2rLXxQ4YM1gpvnz7WpcDqtTtt7zR89/iy+9xu7A17mhRpwnvV3qO2W23K5S6XJn59bxgG+R3yE7YijANjDxBzI4ZSLUtRsEFB9uXax68XfgXA9TNXLu+4zLX018AdIuwjOBJzhA6lOtC2ZFvV74qIJAOFX5G0zDSt1gM//giLF1u9xF54wSptqFs3QQ+w3b+fRbFi8P331mJxlixW67AJ/jPx3ePL2sC1mJhUK1CNH5v/iN0BO74e8DVLg5bi6urK8OHD8fLySvz7TkQBAQF8++23/Prrr4SFhdG2bVv69+9P9erVAWtVeM/5PbG1wqejTlMim+p3RURSCpU9iKRVW7bAhx9auyrkyQPe3tarQIFHnmqasH69tco7e7a1vW/LllZmbtwYImJusvDQQnz3+LL48GIioiMokaMEXuW8eLncyxTJXgRfX1+8vb3v/NofcHFxwcfHJ1UG4N27dzNy5EimT5+OnZ0dXbt25cMPP6TUI0pFomKiEtQdQkREbEs1vyLPimPH4NNPYfp0q1PDoEFW1wYnp0eeGhoKvr5W6N29G7JmtUobevcGN/do1gSuwXe3L7MOzCIkPIS8GfPyUtmX8CrnRaV8lWL77QYFBVGxYkWCg4MfGKNAgQKcOHHC1nedKEzTZO3atYwcOZIlS5aQMWNG3nzzTd59910KJOAfESIiknxU8yuS1gUHwxdfWMnVwQE++ww++ihB9bzHjln7Wfz6K1y5AuXLw4QJ8NJLJoeu7mT8Hl+mzZ3G6WunyeSUiQ6lO+BVzov67vWxt7MnKiqK9evXs2jRIhYtWsTevXvjHevkyZNUrlyZBg0a0KBBA2rVqkWmBMwxKcXExDBv3jxGjhzJ5s2byZUrF1988QW9e/cmW7ZsyT09ERF5Clr5FUntbt60Au/w4da2aq+/DkOHQv78Dz0tJgZWrLBOXbTIKgfu0MEqbchf5jjT9v6J7x5fDlw8gKOdI82LNcernBeti7fG2dGZS5cusXTpUhYtWsTSpUu5fPkyDg4O1K5dm5YtWzJ69GhOnz79wLhZsmTBw8ODjRs3EhERgb29PVWrVqVBgwbUr1+fGjVq4JyAHeQSQ3h4OL6+vnzzzTccPHiQQoUK8cEHH/D6668n25xEROTJqOxBJK2JibFaln36KQQGWluoff01lCv30NNCQuC336xGD4cPW5URb74JnbpdZF3wDHz3+LLhxAYAarvWxqucF53KdCJb+mzs3r07dnV306ZNxMTEkDt3blq0aEHLli1p3LgxWW7tWfyomt/Q0FA2bNjA6tWrWbVqFVu3biU6OhonJydq1KhB/fr1adCgAVWrVsUpASUbT+Pq1av4+PgwZswYTp8+jYeHB/3796djx444JKDfsYiIpDwKvyJpiZ8ffPCB1XDXwwO++QYaNXroKfv2WYH39rbD1aqBd59QHMrMZ8ZBX5YeWUpUTBRlc5fFq5wXL5V9iZyOOVm5ciWLFi1i8eLFnDx5EoDKlSvTsmVLWrVqReXKlePcphesADxgwACCgoIe2e3h6tWrrF+/nlWrVrFq1Sp27tyJaZq4uLhQq1at2DKJihUr2iyQnjt3ju+//57x48cTEhJCgwYN6N+/P40bN46tXxYRkdRJ4VckLdi/H/r3h4ULre3Uhg8HLy+rZiEOpgnz58MPP9zZdrjLS1F4dl7J1pu+zDk4h+sR1ymQuQAvl30Zr/JeZArNFLu6u3r1asLDw8mYMSNNmjShZcuWNG/enHz58iX6rQYHB7NmzRpWrVrF6tWr2bdvHwCZM2embt26sWUS5cqVizd8x+fo0aOMGjWKyZMnExERQfv27enfvz9VqlRJjFsREZFkoPArkpqdOQODB1t7CWfMaJU6vP02PKQO1c/Pet5t61YoUNCkTa+tRJb0Zf6x6Zy7cY6s6bPSqXQnupTqgt1JOxYvWsyiRYs4cOAAAMWLF6dly5a0bNmS2rVrJ3rpwaOcO3cOPz+/2JXhI0eOAJAjRw7q168fWyZRokSJ2FXb+1eee/bsye7du5k5cyYODg5069aNDz74gOLFiyfnrYmISCJ44vBrGEZ6YC2QDqs7xEzTNAcZhpEdmA64AwFAZ9M0Lz/sWgq/Io/p+nUYNcp6hYdbPccGDoScOeM9Ze9e+Phj6yG2rAWOEV72FcKKbYAc4Gg40qZkG1q5tSL6YDTLFy9n2bJlhISE4OjoSN26dWMDb7FixZLwRh/fiRMnYuuFV61aFds+LV++fNSvXx8XFxd8fX0JCwu757z06dPzzjvv8M477yTJCraIiCSPpwm/BpDBNM3rhmE4AuuBd4D2QLBpml8ZhvExkM00zf4Pu5bCr0gCRUVZ2xAPGgRnz0LHjjBiBBQtGu8pJ09aH//tN3AptJucrT8jIOMCsAeOA3vA4bADbnncOHbsGKZpki9fvtiH1Ro1apTiWo4llGmaHDt2LLZEYtWqVZw7dy7OzxYsWJCgoKAknqGIiCQ1m5Q9GIbhghV+/wf8DtQzTfOMYRj5AD/TNEs87HyFX5FHME1rybZ/f6u+t0YNa9X31ta5cQkJgZEjYfSYGKILLeG5DmMIcliJEWlgbjdhM3DXXhNOTk589tlntGzZEg8Pj8eul00NTNPE3t6euP7/zTAMYmJikmFWIiKSlOILvwn6r55hGPaGYewEzgMrTNPcDOQxTfMMwK2vuW04X5Fnz7Zt0KABtG4NkZHWvsLr18cbfMPD4fvvoXCJUEas+Jl075cmqksrorMdpFPWTpjfmrCEe4IvQGRkJAMHDqRSpUppMviCFXBdXV3jfC++4yIi8mxI0H/5TNOMNk3TAygAVDUMo2xCBzAMw9swjG2GYWy7cOHCE05TJA0LCICXX4YqVax+ZGPHWl/btYM42m3dbu9brNJp3p0/gGs9CkKr/+GW14kWoS248eUN/n73bxyi4m4H9qyEv+HDh+Pi4nLPMRcXF4YPH55MMxIRkZTgsZZ9TNO8AvgBzYBzt8oduPX1fDzn+Jim6WmapmeuXLmebrYiacnly1av3hIlYM4cq4PDkSPQpw84OsZ5yqpVULbRDl6a8SonO7pj1BmBZ84SVN1blT1v72H56OU0adgEPz8/fvvtt2c6/Hl5eeHj44ObmxuGYeDm5ha7wYaIiDy7EvLAWy4g0jTNK4ZhOAPLgZFAXeDSXQ+8ZTdN86OHXUs1vyJY9QrjxsEXX8CVK9CtGwwbBgUKxHvKzl0xdP9qEdvTjYZCfqQjI5WM8gTOCOD0vtPkz5+fN998kx49etzTweBxNpkQERFJS56m20N5YArWM+N2wAzTNIcahpEDmAG4AkFAJ9M0g+O/ksKvPONME6ZPt1Z4jx+Hpk2t7YjLl4/3lP+O3aDbmClsNr6DHIfJGJ2PwhefY//UXURdj6Jhw4b07t2bNm3aaBteERGRu8QXfh/5X0vTNHcDFeM4fgloaJvpiaRxa9daJQ5bt0KFCrB8OTRuHO/H9588xRs/j2Vz1C+Q8zKZr5Yj04binPrnEIGZQunTvQ+9evWiZMmSSXgTIiIiqZ+WikRsKSrKargbGGi9AgJg0yZYssQqa/jtN+jaFezt4zx9Y6A/b/0xhu3h08E+hoxn6hG17hhXD++hsIcHg3+ZwEsvvUSGDBmS9LZERETSCoVfkccRFgZBQXfC7d0hNzAQTp2y2jHcLX9++PJLePfdOLcjjo6JZt7BBXy6YAz/3VwL4ZlIt68T4Wt3EBG6ni5dutD792k8//zzsdv2ioiIyJNR+BW5W0jIg8H27tf9u4bZ21srum5uUK+e9fXul6srpE8f51DXI64zecdkvvL7ntM3j8IVN+y2fEiM/xby5dvI/z75H6+//jrqkiIiImI7Cr/y7DBNuHjxwdXau19Xrtx7Trp0VoB1d7c2n7g/3ObPD4/5oNmJkBP8uOVHftriw/WoEDhRHTa+DwfX06zZAfrM/oimTZtiH09phIiIiDw5hV9J206dIubtvhj792MEnYDQ0Hvfz5TpTpCtVevBcJs7NzzFLmh3txrLUykP7i+5s/XGVqKjgf3tYVN3XILX06vXSd5aOJxChQo93f2KiIjIQz2y1ZktqdWZJKlr15jiVYbe5U4Q6gSOph1OhgNO9k44OaTDyTG99bJ3SpTXpn838fO4nwk3wsETqyngzfSwvRds7sVzGTYzcKATr732AunjKY0QERGRJ/PErc5EUiMzMpJh71diUOUT1MlUjnoV2xERHXHvKybiwWO3Xjcib8T+OTI6Ms7PhEeHP3oiHW59vZwFlvSHHb1xiFnAvHkRtGjxaqL+DERERORBCr+S5kRGReA9sDy/FThCN+fq+Lzjh5O9k83HMU2TaDOaiOgIbkZGcPJMBMeDIgg4EUHgyQjG/PAH2OcCSsCZxmAuA2oTbeylRYuYR11eREREEoHCr6QpV8Ov0vGbKqxwPsSgyBoM+ny9TdqD3d++13peziAw0IHAQAeCglyIiLj/rPeAQOAo0BhYDYCrq9tTz0dERESejMKvpBknr56k5U+12B8RyKSznrz+8zpIYPC9eRNOnLi3AcTdfz51CushtbvkzWs9E1e5MrRvb/05PPwQP/3Un8OH/6FatbLs2rWLsLCw2HNcXFwYPny47W5aREREHovCr6QJu87uouVvjbl69QKL95Si8Yy193RpuH497lB7+89nz957PTu7O+1769SxOp09rH1vaGgogwYNYvTo0eTNm5d583xp06bNPd0eXF1dGT58OF5eXknxIxEREZE4qNuDpHrLjy6n4/QOZL4cyuJV+Si/dAfc2hhiwwbo0sUqWbibo+Od9r23A+3df86f3/pMQvj5+dGjRw+OHj1Kz549+eabb8iSJYtN71FEREQej7o9SJo0acckvBd4UybYgUWzM1FgxcrY4LtrF7RoATlzwogR9wbcvHmfqn0vACEhIXz00Uf4+PhQuHBhVq5cSYMGDZ7+pkRERCTRKPxKqmSaJoP8BjFs7TCaBGfj70nXybxoPpQoAcDhw9C0qbWHxcqVVuC1pYULF9KrVy/OnDlDv379GDp0KC4uLrYdRERERGxO4VdSnYjoCHrM78HU3VN542oRfh57FMff/7CKc7EeTmvc2HpAzc/PtsH3woULvPPOO0ybNo2yZcsye/ZsqlatarsBREREJFE95S9+RZLWlZtXaO7bnKm7pzLUrMfE0UdxHDIMbj1EdvGiFXyDg2HpUihZ0jbjmqbJn3/+SalSpZg5cyZDhgzB399fwVdERCSV0cqvpBpBIUG08G3BoUuH+D2nN6+85QOvvQYDBgBw7ZpV43vsmBV8K1e2zbgnT57kf//7HwsXLuT555/n119/pUyZMra5uIiIiCQprfxKqrDjzA6qTazGyasnWVr2K155bzI0aAC//AKGwc2b0LYtbN8OM2ZAvXpPP2ZMTAy//PILpUuXZuXKlYwePZp///1XwVdERCQV08qvpHhLDi+h09+dyO6cnX/r/U6Z5t2gWDGYNQucnIiKghdfhNWrYepUaNPm6cc8fPgwPXv2ZM2aNTRo0IAJEyZQuHDhp7+wiIiIJCut/EqK5uPvQ+tprSmeozib2i6gzEvvQLp0sGgRZM1KTAz06AHz5sEPP0DXrk83XlRUFN988w3ly5dn586dTJw4kX/++UfBV0REJI3Qyq+kSKZp8tmqz/hy/Zc0K9qMGS1/I1PTNnDuHKxZA+7umCa8/z5MmQJDhkDfvk835q5du+jevTv+/v60bduW8ePH89xzz9nmhkRERCRF0MqvpDjhUeF0ndOVL9d/iXclbxZ0mUem7r1h61aYNg2qVAHgiy/g++/hnXdg4MCnGC88nIEDB+Lp6cmJEyeYMWMGc+bMUfAVERFJg7TyKynK5bDLtJvejjWBaxjRcAT9a/bH+PBDmD0bxoyxnmoDfvwRPv8cXn0VRo8Gw3iy8TZu3Ej37t05cOAAr7zyCmPGjCFHjhw2vCMRERFJSbTyKylGwJUAak6qycaTG/Ft78vHtT7G+Okn+PZbeOsta4kX+OMPePttKwf/+uuTbVN8/fp13n33XWrWrMmNGzdYsmQJv//+u4KviIhIGqeVX0kRtp3eRqs/WxEeHc7yrsup617Xeqitb19o1Qq++w4MgwULrNa+9evDX3+BwxP8DV6xYgXe3t4EBATQp08fRowYQaZMmWx9SyIiIpICaeVXEpWvry/u7u7Y2dnh7u6Or6/vA59ZeGghdX+ri7OjMxve2GAF3x07oEsX8PCw6nzt7fHzg06doFIlq7tD+vSPN37BggWpW7cuTZo0wcnJibVr1zJ27FgFXxERkWeIVn4l0fj6+uLt7U1oaCgAgYGBeHt7A+B1azvin7b+xFtL3qJi3oosfHkheTPmhZMnrdXe7Nlh4ULImBF/f6t/b+HCsHgxJCSv3j/+yZMnOXnyJG3atGH69OmkT0h6FhERkTTFME0zyQbz9PQ0t23blmTjSfJyd3cnMDDwgeN2dnZkz5GdsJph3PC4gfMJZ/Kuz4sTTmQGpgYGkj8igp6lShGQKRPh4YXYu3c89vY3qVq1HxkyXMbBwQF7e/t4v9rb2+Pr68u1a9ceGN/NzY2AgIDE/wGIiIhIsjEMw980Tc/7j2vlVxJNUFBQnMdj7GLI8kYWLjpfpOS1knhGehJTOQYiI/lg7VqKhoczpGpVQrJnx+FadnbsGA1EU7r0u4SHBxAaGk1UVBTR0dFER9/58/1f4wq+D5uXiIiIpH0Kv5IoVqxYQZy/VXCGdN3ScdT5KF83+poPanyAYRhgmtCrl7WJxYQJDO3Rg/PnoVYtq7Z3zRqoUOGvx5pDfCvPrq6uT3pbIiIiksrpgTexuVWrVtGmTRsKFiyIs7PznTeygdHTICZfDNM7TufDmh9awRfgm2/Axwc++QR69CAkBJo2tcp/Fy2CChUefx7Dhw/HxcXlnmMuLi4MHz78Ke5OREREUjOFX7GpNWvW0KpVK4oWLYq/vz8TJkzAzc0N8oOdtx0ZcmZg1Wur6Fym852T/v4b+ve3ujt88QWhodC6NezbZ+1tUbPmk83Fy8sLHx8f3NzcMAwDNzc3fHx8Yh+2ExERkWePHngTm1m3bh3NmzfHzc2N1atXkzt3bgDmHZzHS7NeIm/GvCzxWkKJnCXunLRhAzRoAJ6e8M8/RNilp107WLLE6nDWpUsy3YyIiIikavE98KaVX7GJDRs20KJFCwoUKMDKlSvJnTs3YZFhfLj8Q9pNb0e5POXY1GPTvcH36FFrm7aCBWHuXKId09Otm9XK7KefFHxFRETE9vTAmzy1zZs306xZM/Lly8eqVavImzcv6wLX0X1+dw4HH8a7kjdjmo3BxfGu+ttLl6BFC4iJgcWLMXPkpG8fa9e2ESPgzTeT735EREQk7VL4laeybds2mjRpQu7cuVm9ejWZc2am7+K+jN06lkJZC7Hy1ZU0KNTg3pPCw6FdOwgIgJUroVgxBn5mrfZ+9BF8/HGy3IqIiIg8AxR+5Ylt376dxo0bkyNHDlavXs3B8IP0+KkHgVcCebvq23zZ8EsyOGW49yTThDfegHXrrKLeWrX49lsYPhx69ICvvkqeexEREZFng8KvPJFdu3bRuHFjsmTJwrxl8xi2cxgTtk+geI7irH19LbVca8V94qBB8OefVtp98UUmTYIPPoBOneDnn+F25zMRERGRxKDwK49tz549NGzYEBcXFz6f+jktFrbg9LXTfFTjIwbXG4yzo3PcJ06eDMOGQffu8MknzJoFPXtCkyYwdSrY2yftfYiIiMizR+FXHsv+/ftp2LAhjpkdqTK4Ct1XdadMrjLM6jyLqvmrxn/iypXg7Q2NGsFPP7HiH4OXX4bnn7d6+aZLl3T3ICIiIs8uhV9JsIMHD9KgQQMii0TCC7AgcAED6wxkQO0BpHN4SHrdvx86dIASJWDmTDb5O9KunfXtokWQIUP8p4qIiIjYksKvJMihQ4eo26IuIY1CCC8WjkdWD5a3XY5HXo+Hn3jihNXSzNkZFi9m74kstGgBefPCsmWQLVuSTF9EREQEUPiVBDh8+DDVelTjSucrOGRw4Iu6X/BRzY9wtHd8+IkHDlgFvVevwsqVHItypUkTSJ8eVqyAfPmSZv4iIiIityn8ykNt3reZ+qPqE9YwjLLZyvLXi39RJneZR5+4ZYu14uvgAGvWcCaPB41rWS1+166FQoUSf+4iIiIi99P2xhIn0zQZvXI0NXxrEFYgjPfKvMeOt3YkLPiuWAENGkDmzPDvvwS7etCkCZw7Z21dXCYBlxARERFJDI8Mv4ZhFDQMY7VhGAcMw9hnGMY7t44PNgzjlGEYO2+9WiT+dCUpnAg5QcNJDem3vh/GRYPZjWczuuNoHOwS8IuC6dOhZUsoUgT+/ZeQnEVo2RIOHYJ586zuDiIiIiLJJSFlD1FAP9M0txuGkQnwNwxjxa33xpimOSrxpidJyTRNJmyfQL9l/bgRdoP0a9Pj940fz1dNYGIdPx7eegtq1YL58zl+OSutGlnBd8YMaNgwcecvIiIi8iiPDL+maZ4Bztz68zXDMA4A+RN7YpK0jl8+To8FPVh1fBXOZ51xWejCP3//k7Dga5owZIj1at0apk9n405n2raFyEirq0ODBol/DyIiIiKP8lg1v4ZhuAMVgc23Dr1lGMZuwzAmGYYRZ9MqwzC8DcPYZhjGtgsXLjzdbMXmYswYftz8I2V/KsuWk1vIuzUvdn/YsXz6cqpVq/boC0RHW6u9Q4bAa6/B7Nn8OceZ+vUhSxbYvFnBV0RERFKOBIdfwzAyArOAd03TvAr8BBQBPLBWhr+N6zzTNH1M0/Q0TdMzV65cTz9jsZlDlw5R97e6vL30barnq06+2fm4uvoqSxYvoUaNGo++QEQEeHlZ5Q4ffID56yQGf+GAl5dV27tpExQvnvj3ISIiIpJQCQq/hmE4YgVfX9M0ZwOYpnnONM1o0zRjgAnAQ/a2lZQkOiaaURtGUeHnCuw9v5cfG/7I2dFnObn/JIsWLaJ27dqPvsj169CqlfWA29dfc3PYN3h1NWIXgFesgBw5Ev1WRERERB7LI2t+DcMwgF+BA6Zpjr7reL5b9cAA7YC9iTNFsaV95/fxxvw32HJqC21LtOXLml/ycuuXOXrkKAsXLqRevXqPvsjFi1ZHh23bYNIkzrV4nRfqWyu9I0ZA//5gGIl+KyIiIiKPLSHdHmoCrwB7DMPYeevYp8BLhmF4ACYQALyZCPMTG4mMjuTrf79m6NqhZE6Xmb86/EXj5xrTuHFjDh48yPz582mYkHYMQUHQtCkcPw5z5rC3cBtaPQ/nz8PMmdChQ+Lfi4iIiMiTSki3h/VAXOt4i20/HUkMO8/u5I15b7Dj7A66lOnCj81/xDHSkcaNG7N3717mzp1LkyZNHn2hu7crXr6cpaF16FwDMma0dm3z9Ez8exERERF5GtrhLY1bemQpVSZU4fS108zuPJu/Ov5Fuuh0NGvWjF27djFr1iyaN2/+6Att2QK1a1u9y9asYezuOrF7WWzZouArIiIiqUNCyh4klTp2+RgvzXqJ0rlKs7rbarI7Z+fatWs0b94cf39/Zs6cSatWrR59oeXLoX17yJOHqMXLeW9sEcaOtVr6/vmntfIrIiIikhpo5TeNCo0Mpf309gDM6TKH7M7ZuX79Oi1atGDz5s389ddftG3b9tEXmj7d6upQpAjXlqyn9btW8O3XD+bMUfAVERGR1EUrv2mQaZp4L/Bm97ndfJDvAxpUbEBQUBBOTk6Eh4czffp0OiTkybS7tisOGjufFu2z8t9/4OMDPXsm/n2IiIiI2JrCbxo0dstYfPf40iF7B8a9N47Q0FAAwsPDcXJyIjIy8uEXuG+74s3vT6dNY2fCw2HpUkhIUwgRERGRlEhlD2nMusB1vL/8fVoXb83Wb7fGBt/bIiIiGDBgQPwXuG+74uldZlO3mTOZMll9fBV8RUREJDVT+E1DTl87Tae/O1EoayGmtpvKiaATcX4uKCgo7gvctV2x2e8DhrpP4sWuDlStagXfkiUTcfIiIiIiSUBlD2lERHQEnf7uxPWI68zvOJ+BHw3ENM04P+vq6vrgwevXrY4OK1YQOfxrXtv3IX9+C6++atX4pkuXyDcgIiIikgQUftOI95e9z4YTGxhSbghejb04cuQITZs2Ze3atYSFhcV+zsXFheHDh9978sWL0KIFbN/O1e8m0XzG62zYAF9+CR9/rK2KRUREJO1Q2UMaMGXnFMZtHUfliMoM7jiY6Oho/Pz8WLp0KRMmTMDNzQ3DMHBzc8PHxwcvL687JwcFWZtX7N5N0HezqfDd62zfDn//DZ98ouArIiIiaYsR36/GE4Onp6e5bdu2JBvvWbDjzA6qT6yO/Rl7Qn8JpZd3L7755hsyJqQB713bFW8ZuIDGw+rg4gLz50OVKok/dxEREZHEYhiGv2maD+xBq7KHVOz0ldPU/6U+4VfDybciH3OXzqVx48YJO3nzZqvUwdGR6X3W4vVxBcqUgQULIK6SYBEREZG0QGUPqdS27dso8WkJQqJDaB3WmgPbDiQ8+C5fDg0bYmbNytCm//LiiAo0bw7r1yv4ioiISNqm8JvKREZGMmTIEKr2r8r1PNd5q8hbzP9pPlmyZEnYBW5tVxxdqAhd3dYz6PcivPcezJ0LmTIl6tRFREREkp3KHlKRvXv30q1bN7aHbocX4ZXSr/Bjpx8TfoFx46BvX25WqUWDa/PZsjYrP/0EvXol3pxFREREUhKt/KYCUVFRjBgxgsqVK3P82nGcX3amynNV8Gnnk7ALmCYMHgxvvUVwrdaUOL6M/aezsmSJgq+IiIg8W7Tym8IdPHiQ1157jc2bN9O2c1sO1DzA5fDLzOo8i/QO6R99gZgY6NsXxo/neN3XKLtxAnnyO7BxEZQqlfjzFxEREUlJtPKbQkVHRzN69GgqVqzI4cOHmTZtGg4dHDhy5Qh/dfyLglkKJuxCQ4bA+PFsqPkBhddMolJVBzZvVvAVERGRZ5PCbwp05MgR6tWrR79+/WjSpAn79u0jqGAQsw7MYmSjkTQo1CBhF1q4EIYOZW3h16j579d07Wrwzz+QK1fizl9EREQkpVL4TUFiYmIYO3YsFSpUYM+ePUyZMoW5c+eyL3Qfn6z8hE6lO9Gver+EXezIEcyuXQnMUYmmx8YzbJjB779DunSJew8iIiIiKZlqflOIgIAAunfvzqpVq2jatCkTJ06kQIECBF4JpMvMLpTMWZJJbSdhJGS/4Rs3oF07bkbaUzdkFv0GOPPZZ4l/DyIiIiIpnVZ+k5lpmvj4+FCuXDm2bt3KhAkTWLJkCQUKFOBm1E06zOhAZEwkc7rMIaNTArYsNk3o2RNz3z7ahU2jcnt3hg5N/PsQERERSQ208puMTp48SY8ePVi2bBkNGjRg0qRJuLm5AVYo7r2oN/5n/Jn34jyK5yiesIv+8ANMm8ZQp+GcL9OEdb+Dnf6JIyIiIgJo5TdZmKbJlClTKFu2LOvWrWPs2LGsWLEiNvgC+Pj7MHnnZD6r/RltSrRJ2IXXrsX84AOWO7fll2wfM38+ZMiQSDchIiIikgpp5TeJnT17Fm9vbxYsWECtWrWYPHkyRYsWveczm05uou+SvjQr2ozB9QYn7MKnT2N27swJx8K8EjOFBfPtKFDA9vMXERERSc208puIfH19cXd3x87ODjc3N/r06UOZMmVYsWIFo0ePxs/P74Hge+76OTrO6EiBzAXwbe+LvZ39oweKiMDs2JHwS9dpHjabH6ZkoWrVRLopERERkVRMK7+JxNfXF29vb0JDQwEICgpi/PjxFClShA0bNlCiRIkHzomMjqTLzC4EhwWzsftGsjtnT9hg77+PsXEjrzCDToPK0KWLLe9EREREJO1Q+E0kAwYMiA2+d4uMjIwz+AL0/6c/awLXMLXdVCrkrZCwgX7/HcaN41v6Yde5E59//jSzFhEREUnbFH4TSVBQUJzHT5w4EefxaXumMWbTGPpW7UvX8l0TNsiOHcR4v8l6+3r87fEVqyars4OIiIjIwygqJRJXV9cEH99zbg89FvSglmstRjUZlbABgoOJeqED56Jy8FbO6cye74CLy9PMWERERCTtU/hNJC+++OIDx1xcXBg+fPg9x67cvEK76e3Iki4LMzrOwMne6dEXj44m+iUvYk6c4kWHWUxelJvnnrPVzEVERETSLoXfRBAcHMzUqVN57rnnKFiwIIZh4Obmho+PD15eXrGfizFj6Dq7K4EhgczsPJN8mfIl6Prm4CHYL19KX/MH+v7xPJUrJ9adiIiIiKQtqvm1MdM0+d///sf58+fZvHkzlSpVivezw9YMY9HhRYxtPpYaBWskbIAFCzC+GMYkXqfgUG86drTRxEVERESeAQq/NjZt2jRmzJjB8OHDHxp8Fx1axJA1Q3i1wqv0rtI7YRc/fJjIF7uym0qs6TSO3z4zbDRrERERkWeDYZpmkg3m6elpbtu2LcnGS2onTpygXLlylClThjVr1uDgEPe/LY4EH6HKhCq4Z3VnwxsbcHZ0fvTFb9wgzKMaN46coYeHP9M2uOGcgNNEREREnkWGYfibpul5/3Gt/NpITEwMr732GlFRUfz+++/xBt8bETdoP709doYdszvPTljwNU3CuvbA6ch+euRays9LFHxFREREnoTCr4388MMPrFq1igkTJlCkSJE4P2OaJj0X9GTv+b0s7bqUQtkKJejaEaO+x3nuXwxy/JIPlzcmb15bzlxERETk2aHwawP79u3j448/pnXr1nTv3j3ez/2w+Qem7Z3G8AbDaVKkSYKubfqtwb7/B8zhBTz++hgPDxtNWkREROQZpFZnTykiIoKuXbuSOXNmJkyYgGHE/RDamoA19FvejxdKvsDHtT5O2MVPneJGq84cMYtw7PMptGuvB9xEREREnoZWfp/S4MGD2blzJ3PnziVPnjxxfubU1VN0ntmZItmLMOWFKdgZCfg3R0QEl+p3JN2NG0xqtZqvBme28cxFREREnj1pfuXXjDG5evJqolx7/fr1jBw5ku7du9O2bds4PxMeFU7HvztyI+IGc7rMIXO6hIXY813fI8fhTYwoPpkhf5cmngVlEREREXkMaT78bh04nxhXN1Y1+pKQU9dtdt1r167x6quv4ubmxpgxY+L8zI2IG7ww/QU2ndzEby/8RulcpRN07cvfTSH33+P5JdMHvL22E+nT22zaIiIiIs+0NB9+s1YqzKHctWiwcgCRBQuxvNlorpwJe+rrvvfeewQGBjJ16lQyZcr0wPvBYcE0ntqY5UeX49PKh46lE7YVW9iGHTi/34s1dvWp7jeCeCopREREROQJpPnwW7xDOaqeXcDB3zZyMqcHTZb1Iyx/ERa3HMeVc+FPdM158+bx66+/0r9/f2rWrPnA+6eunqLO5Dr4n/Hn705/07NyzwRdN+bCJa41bs8FMydhk/+ifCWVZIuIiIjY0iPDr2EYBQ3DWG0YxoH/t3fv0VGUeRrHv78QEg2IIARFgYAHQbkj2QFXZmDFMXiDWUZUTlAEARlhV5n1NqIugtlFxZHxMuOJRsJKRlDRBbyQiawMoK6zAUYEo9xUQBECBCEiBsi7f3Tl2CBgLpWudOr5nNMnlbe63n6f7s7bv66u6pjZOjO7zWs/w8wKzGyD97NZ7Q+3+s4f2ZeeOwtYn72UPWd04Io3J7K/VUcWDM5hb/GhSvezY8cOxo4dS8+ePZkyZcqP1m/YvYF+s/rxxTdf8FbmWwy9YGjlOj5yhM0XZXL6ga9YOnE+g25sWekxiYiIiEjlVGbP72Hg35xzFwB9gQlm1hm4B1jinDsPWOL9Xud1HNufLsV/ZePT+XzX9CyGLBrDnrMu4NWhc9i7+8hJt3XOMXbsWPbt28ecOXNISko6av3q7avpN6sfpWWlvDPyHS5pf0mlx7Vu2BQ6bMrnxYueZMQTP6tWNhERERE5uZ8sfp1z251zq7zl/UARcA4wBJjtXW028KtaGqP/zOhw62V03P2/bJ65EDutMUNfu4GvW3Zj3rBXKNldftzNcnJyWLRoEdOnT6dLly5HrVv6+VL65/YnuUEyK0atIP3sH/0r6RPaMGMBXV57iNfPHM3w/xmrb3YQERERqSXmnKv8lc3aAcuArsAW51zTqHUlzrmTHvqQnp7uCgsLqzfS2lRezuePzSdx2gO03v8JaxJ68NGwaVzxx6todkakEt20aRM9evSgT58+FBQUkJDww/uGBZ8s4LpXruPcZueSPyKfNqe3qfRNf71sPSkD/oHPGnbk7I3LSW2jr3YQERERqSkzW+mc+9HeyEqf8GZmjYH5wO3OuUp/ca6ZjTOzQjMrLC4uruxmsZWQQLs7h9G6ZC1fZL1A6qmlZM4bzKbUvuRmFrBzxyFuuOEGEhMTyc3NParwnbV6FkNfGkqPs3qwfNTyKhW+3+4opTRjKIdoyCmLXlHhKyIiIlLLKlX8mllDIoVvnnPuVa95h5m18ta3AnYeb1vnXLZzLt05l56amurHmGtPgwak3TuCViVFbPv3Z0lL3s5Nf76MT1tdQuL7F/DII8/Rps0Pxe2M92YweuFoBrYfyJIbl9A8pXmlb6r8iOPv6WNof7CIjdPm0umytNpIJCIiIiJRKvNtDwbkAEXOud9HrVoIjPSWRwIL/B9eQBo2pPWUMaSWbGDlqPvo4NayjOfpcGs2z4z6gF27HHcX3M2dBXdybZdrWTR8EY2TGlfpJvIHPc7F2+bx/pVZ9Jl8aS0FEREREZFoP3nMr5n1A5YDHwEVZ4LdC3wAvAS0BbYAw5xze07WV5095vcEvvvuO3r37s33JSW8/esJNH/2D6Qc3sWVV7flL722cFPX8Tz3z0/RIKFBlfp9+76lDMi6lDVpg+m1eT6WoDPcRERERPx0omN+f/K/KDjnVgAnqs4G1nRgddm9995LUVERixcvpn1GBgen3cLgRwfwl+SPuf+v0HNaMU+O/pQR/9GZFi0q1+eqhdvolnUdX6acR9fCXBW+IiIiIjFU7//DW3UtWbKEmTNnMnHiRDIyMtj3/T6uWHgdbyV/zB/6T2dix/u53PL512e7UtDqBmaM38iuXSfvc8uG7ym/ZhiN7ACnv/0qSS2axCaMiIiIiABV/KqzmoqXwx5KSkro3r07jRo1YtWqVZS6Ui7Pu5w1O9aQOySXzO6ZkSvu2sWuux/ltNlP0uBIGXMSb2LH2Pu5eWraj/YEl5bCm+1+w7W7n2Hb4y/T+vZrYh9MREREJCRq/FVnYTJx4kS+/vpr5syZQ3FZMT+f9XOKiotYcP2CHwpfgBYtaJHzMMnbNvNN5gQyy19g0p/OY36riWRN+IqKb3YrL4fnf5HLtbuf4bNr7lThKyIiIhIQ7fk9xty5cxk+fDhTp05l6C1DyZiTwbeHvuX14a9zcduLT77x1q3suSOLJi/ncMgl8mzirey95W5S9mxj4ov/SHHHi2mzLh8Sf/JQaxERERGpgRPt+VXxG+XLL7+ka9eudOrUiRnzZjB47mCSE5PJH5FP9zO7V76jzZvZ+9upNFn4AgfcqZTSmKTGSTTbtBJrWce/61hERESkHtBhDz+hvLycUaNGUVZWxriHx5GRl0GzU5vx7uh3q1b4Apx7Lk3/O5eEj9dx5IqraZpSRpP8V1T4ioiIiARMn797nn76aQoKChjz+BjGLxtP59TOLB6xmLMan1X9Ts8/n9PfeBGcA9NXmomIiIgETXt+gaKiIu666y663NSFnG9y6Nu6L0tvWlqzwjeaCl8RERGROiH0xW9ZWRmZIzKxAca6duu4quNV5I/Ip+kpTYMemoiIiIj4LPSHPUydNpXVZ66GPnBjjxt57urnaNigYdDDEhEREZFaEOo9v8vfXU5WURb0gUl9JzFryCwVviIiIiL1WGiL350lOxk0exB0gwcufoDHLnuMBAvt3SEiIiISCqE87KHkuxK6z+jOgVYHuKPTHTx46YNBD0lEREREYiB0uzq/2v8VvZ7oxY6EHQw5NIRHr3806CGJiIiISIyEas/vxj0bGZg7kK37ttL+g/bMe2Ne0EMSERERkRgKTfG7evtqBuUNYu83e2mQ14AFixaQnJwc9LBEREREJIZCcdjDsi+WMWD2AA4fPEzZM2VM/5fpdOvWLehhiYiIiEiM1fvi980Nb5IxJ4PUU1I5+MeDDOg6gEmTJgU9LBEREREJQL0ufvPy8hgzbAwHPznI1ge3Ul5STm5uLgkJ9Tq2iIiIiJxAvT3mNy8vj3HjxnHgwAH4EMooIykpiRUrVpCWlhb08EREREQkAPV2F+jkyZMjhW+UsrIyJk+eHNCIRERERCRo9bb43bJlS5XaRURERKT+q7fFb9u2bavULiIiIiL1X70tfrOyskhJSTmqLSUlhaysrIBGJCIiIiJBq7fFb2ZmJtnZ2aSlpWFmpKWlkZ2dTWZmZtBDExEREZGAmHMuZjeWnp7uCgsLY3Z7IiIiIhJOZrbSOZd+bHu93fMrIiIiInIsFb8iIiIiEhoqfkVEREQkNFT8ioiIiEhoqPgVERERkdBQ8SsiIiIioaHiV0RERERCQ8WviIiIiISGil8RERERCQ0VvyIiIiISGip+RURERCQ0VPyKiIiISGio+BURERGR0FDxKyIiIiKhoeJXRERERELDnHOxuzGzYuCLmN1g3dEC2BX0IAIW9vtA+ZVf+cNL+ZVf+YOR5pxLPbYxpsVvWJlZoXMuPehxBCns94HyK7/yK3/Q4wiK8it/Xcuvwx5EREREJDRU/IqIiIhIaKj4jY3soAdQB4T9PlD+cFP+cFP+cFP+OkbH/IqIiIhIaGjPr4iIiIiEhorfajKz581sp5mtjWrrYWbvm9lHZrbIzJp47UlmNstr/9DMBnjtKWb2hpl9YmbrzGx6MGmqzo/8x/S3MLqvus6v/N66bDNb7z0Pfh37NFXnY/7hXvsaM1tsZi1in6bqzKyNmb1jZkXe3+5tXvsZZlZgZhu8n82itvmdmW00s0/NLCOqvbd3H2w0syfMzILIVBV+5Y/XOdDPxz9qfdzMgT4//+NuDvQ5f9zNgVXNb2bNveuXmtlTx/QVzPznnNOlGhfgF8CFwNqotv8D+nvLo4Fp3vIEYJa33BJYSeSNRwrwT157ErAcuDzobLHKH7XdUODP0X3V9Ytf+YEHgYe85QSgRdDZYpUfSAR2VmQGHgGmBJ2tkvlbARd6y6cB64HOXoZ7vPZ7gIe95c7Ah0Ay0B7YBDTw1v0NuAgw4K14mAP8yh+vc6Cfj7+3Pq7mQJ+f/3E3B/r4/I/LObAa+RsB/YDxwFPH9BXI/Kc9v9XknFsG7DmmuROwzFsuACrewXYGlnjb7QT2AunOuQPOuXe89jJgFdC6dkfuDz/yA5hZY+C3wEO1O2J/+ZWfSJH4n966cudcXHwRuk/5zbs08t7tNwG+qtWB+8Q5t905t8pb3g8UAecAQ4DZ3tVmA7/ylocAc51z3zvnPgM2Aj8zs1ZAE+fc+y7ySvBfUdvUWX7lj9c50K/8EJ9zoJ/5icM50Mf8cTkHVjW/c+5b59wK4GB0P0HOfyp+/bUWGOwtDwPaeMsfAkPMLNHM2gO9o9YBYGZNgavxioQ4VZ3804DHgAOxHGgtqVJ+7zEHmGZmq8zsZTM7M6Yj9leV8jvnDgG/AT4iMuF3BnJiO+SaM7N2QC/gA+BM59x2iLxAENnTDZEXhq1Rm23z2s7xlo9tjxs1zB/dT1PicA70IX9cz4E1yV8f5sCa5K8Pc2Al859IYPOfil9/jQYmmNlKIh8FlHntzxN5UAuBmcB7wOGKjcwsEXgReMI5tzmWA/ZZlfKbWU+gg3PutdgPtVZU9fFPJLKX613n3IXA+8CMGI/ZT1V9/BsSmfh7AWcDa4DfxXjMNeLttZsP3O6c23eyqx6nzZ2kPS74kL+in7icA2uaP97nQB8e/7ieA314/ON6DqxC/hN2cZy2mMx/ibG4kbBwzn0CXAZgZh2BK732w8CkiuuZ2XvAhqhNs4ENzrmZMRtsLahG/v5AbzP7nMhzsaWZLXXODYjtyP1Rjfy7ieztqXjhexm4OYZD9lU18vf01m/y2l8icpxYXPBeuOYDec65V73mHWbWyjm33ftIb6fXvo2jP+1pTWRPzzaO/pi/or3O8yl/hbibA33KfxFxOgf6lD9u50Cf8veE+JwDq5j/RAKb/7Tn10dm1tL7mQDcBzzj/Z5iZo285V8Ch51zH3u/PwScDtwexJj9VNX8zrk/OefOds61I3Iw/Pp4mPRPpBr5HbAIGOB1MRD4ONbj9ks1nv9fAp3NLNXr4pdEjh2r87zj83KAIufc76NWLQRGessjgQVR7debWbJ36Md5wN+8jwb3m1lfr88bo7aps/zK7/UVd3Ogj49/XM6BPuaPyznQx+d/XM6B1ch/XIHOf64OnDkYjxciH9FtBw4RefdyM3AbkbMe1wPT+eGfiLQDPiXypH4bSPPaWxPZxV8E/N27jAk6W6zyH9NfO+LkTGc/8wNpRE4SW0PkWMe2QWeLcf7xXvsaIi+CzYPOVsn8/by/3TVRf7tXAM29x3GD9/OMqG0mEznL+1OizmgmcvLfWm/dUxX3W12++JU/XudAPx//qPVxMwf6/PyPuznQ5/xxNwdWM//nRE6SLiXymtHZaw9k/tN/eBMRERGR0NBhDyIiIiISGip+RURERCQ0VPyKiIiISGio+BURERGR0FDxKyIiIiKhoeJXREREREJDxa+IiIiIhIaKXxEREREJjf8HdL9ZNXcU9b4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit1 = Holt(air, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2, optimized=False)\n",
    "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n",
    "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2, optimized=False)\n",
    "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n",
    "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2)\n",
    "fcast3 = fit3.forecast(5).rename(\"Additive damped trend\")\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(air, marker='o', color='black')\n",
    "plt.plot(fit1.fittedvalues, color='blue')\n",
    "line1, = plt.plot(fcast1, marker='o', color='blue')\n",
    "plt.plot(fit2.fittedvalues, color='red')\n",
    "line2, = plt.plot(fcast2, marker='o', color='red')\n",
    "plt.plot(fit3.fittedvalues, color='green')\n",
    "line3, = plt.plot(fcast3, marker='o', color='green')\n",
    "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Seasonally adjusted data\n",
    "Lets look at some seasonally adjusted livestock data. We fit five Holt's models.\n",
    "The below table allows us to compare results when we use exponential versus additive and damped versus non-damped.\n",
    " \n",
    "Note: ```fit4``` does not allow the parameter $\\phi$ to be optimized by providing a fixed value of $\\phi=0.98$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:16.605618Z",
     "start_time": "2017-12-07T12:39:16.116424Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SES</th>\n",
       "      <th>Holt's</th>\n",
       "      <th>Exponential</th>\n",
       "      <th>Additive</th>\n",
       "      <th>Multiplicative</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>$\\alpha$</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.974316</td>\n",
       "      <td>0.977633</td>\n",
       "      <td>9.788623e-01</td>\n",
       "      <td>0.974913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\beta$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.437128e-11</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\phi$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.800000e-01</td>\n",
       "      <td>0.981646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$l_0$</th>\n",
       "      <td>263.917698</td>\n",
       "      <td>258.882555</td>\n",
       "      <td>260.344565</td>\n",
       "      <td>2.573572e+02</td>\n",
       "      <td>258.951736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$b_0$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>5.010839</td>\n",
       "      <td>1.013780</td>\n",
       "      <td>6.645778e+00</td>\n",
       "      <td>1.038145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SSE</th>\n",
       "      <td>6761.350235</td>\n",
       "      <td>6004.138201</td>\n",
       "      <td>6104.194756</td>\n",
       "      <td>6.036555e+03</td>\n",
       "      <td>6081.995046</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  SES       Holt's  Exponential      Additive  Multiplicative\n",
       "$\\alpha$     1.000000     0.974316     0.977633  9.788623e-01        0.974913\n",
       "$\\beta$           NaN     0.000000     0.000000  7.437128e-11        0.000000\n",
       "$\\phi$            NaN          NaN          NaN  9.800000e-01        0.981646\n",
       "$l_0$      263.917698   258.882555   260.344565  2.573572e+02      258.951736\n",
       "$b_0$             NaN     5.010839     1.013780  6.645778e+00        1.038145\n",
       "SSE       6761.350235  6004.138201  6104.194756  6.036555e+03     6081.995046"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n",
    "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n",
    "fit3 = Holt(livestock2,exponential=True, initialization_method=\"estimated\").fit()\n",
    "fit4 = Holt(livestock2,damped_trend=True, initialization_method=\"estimated\").fit(damping_trend=0.98)\n",
    "fit5 = Holt(livestock2,exponential=True, damped_trend=True, initialization_method=\"estimated\").fit()\n",
    "params = ['smoothing_level', 'smoothing_trend', 'damping_trend', 'initial_level', 'initial_trend']\n",
    "results=pd.DataFrame(index=[r\"$\\alpha$\",r\"$\\beta$\",r\"$\\phi$\",r\"$l_0$\",\"$b_0$\",\"SSE\"] ,columns=['SES', \"Holt's\",\"Exponential\", \"Additive\", \"Multiplicative\"])\n",
    "results[\"SES\"] =            [fit1.params[p] for p in params] + [fit1.sse]\n",
    "results[\"Holt's\"] =         [fit2.params[p] for p in params] + [fit2.sse]\n",
    "results[\"Exponential\"] =    [fit3.params[p] for p in params] + [fit3.sse]\n",
    "results[\"Additive\"] =       [fit4.params[p] for p in params] + [fit4.sse]\n",
    "results[\"Multiplicative\"] = [fit5.params[p] for p in params] + [fit5.sse]\n",
    "results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plots of Seasonally Adjusted Data\n",
    "The following plots allow us to evaluate the level and slope/trend components of the above table's fits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:17.105928Z",
     "start_time": "2017-12-07T12:39:16.607306Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAADoCAYAAAAUh6TcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAvH0lEQVR4nO3deXzV1Z3/8dfnJiEh+0ISspANwr4TwI1NEBA37OhIW1vbWrHqWFuXotP5zbi0U2da246jo+O0nWq1KtJxB0RkU1mUIMgSQtgC2UiIAZJAtnvP749zA6gBEkjyvffm83w8vo/kfr83uZ/DDe+cnO/5nq8YY1BKKRVYXE4XoJRSqvNpuCulVADScFdKqQCk4a6UUgFIw10ppQKQhrtSSgWgYKcLAOjTp4/JyspyugyllPIr+fn5h40xiW0d84lwz8rKYuPGjU6XoZRSfkVEis90TIdllFIqAPlEz10p5Z+MMTS2eKhvbKG+0U1dYwv1TS32o3era3TT0OymsdlNY4uHxhaPfdziobHFTWOz5+TnCRGhXJbbh8m5iWQkhDvdPL+m4a6U6rAWt4frnv6YwopaWjztX8IkLMRFaHAQocEuwkLsx9DT9m0tPcrS7RUAZCaEMym3D5NyE7mkfwJRYSFd1RxHtbg9BAd1/iCKz4Z7c3MzJSUlNDQ0OF1KlwsLCyM9PZ2QkMD84VWBJ7+4hu1lx7h+TBoDkiKJ6BVERGgwUWHBRITaLdL7MaJXEL17BdEryIWInPX7GmPYd7ieD4sO82FRFa9vKuXF9QcIcgljM2KZlJvIpNw+jEyPJch19u/lqzwew9bSoywvOMT7Ow6RlxXHL+aO6PTX8dlwLykpISoqiqysrHP+QPgzYwzV1dWUlJSQnZ3tdDlKtcvKwipCgoRHrxvWqT1qESEnMZKcxEhuuSSLphYPnx2oYU1RFR8WHeZ3y3fx2/d3ARASJAS7XAQHCSFBLoJd9mNIkBDsfZwSE8Zjc4eTHufsEE9Ds5uPdx9mecEhlhdUUlXbiEtgfFY8I9Niu+Q1fTbcGxoaAj7Ywf4wJyQkUFVV5XQpSrXbqsJKxmfFd/lQSa9gFxNzEpiYk8ADs+CL+iY+2n2Y3YdqafYYWtwemt2GFo+HFrehyW0/tnjs/vV7q5n79Fr+eEseo/rFdmmtX1VV28jKnZW8X3CID4uqaGj2EBkazJSBicwYmsTUgUnERfTqstf32XAHAj7YW/WUdqrAUHrkBDsravn5nCHd/trxEb24dlRqu59fdKiW7//5U256bh2/v2kMs4f37cLqoPJYA+9uLeedz8vZdKAGYyA1Joy/z+vHjCHJTMyJJzQ4qEtraNXucBeRIGAjUGqMuVpE4oFXgSxgP/D3xpga73MfAm4F3MCPjTHvdXLd3SIyMpK6ujqf/55KdadVhZUATBvc5rUzPiU3OYrX77yU217YyB0v5fPzOUO49bLsTu1Q1dQ3sWRbBW9vKWP9vmqMgcF9o/jJ9IHMGJrE0JRoRzpwHem53wMUANHexw8CHxhjHheRB72PF4jIUGAeMAxIBZaLyEBjjLsT61ZKOWTlzkr6xfemf2Kk06W0S2JUKK/Mv4h7F27mF+8WsO9wPY9cO+yCZqjUNjTz/o5DvLWljI+KDtPiMeT0ieDuy3O5ZmQKuclRndiC89OucBeRdOAq4JfAvd7d1wFTvZ8/D6wCFnj3v2KMaQT2ichuYAKwrtOqdsCvf/1rFi5cSGNjI9dffz2PPPIICxYsIDMzkzvvvBOAhx9+mKioKO677742n6+Uv7MnBqu5MS/dr4YTw0KCeOqbY/n3+EKeXb2HkpoTPPWtMR06Z1Df2MLKwkre2VLOisJKmlo8pMX25oeTcrh6ZArDUp3poZ9Je3vuvwd+Bpz+6yjZGFMOYIwpF5Ek7/40YP1pzyvx7jtvj7y9nR1lxy7kW3zN0NRo/uWaYe167rJlyygqKuKTTz7BGMO1117LmjVrmDdvHj/5yU9OhvvChQtZunTpGZ8/efLkTm2DUt1tw74vONHsZtrgpHM/2ce4XMKDVw4mMyGcf3pjGzc+u44/fW88qbG9z/g1R443sbygkqXbKlhTVEVTi4ekqFC+PTGDa0alMqZfrE8F+unOGe4icjVQaYzJF5Gp7fiebbX0a1c5iMh8YD5ARkZGO76tc5YtW8ayZcsYM2YMAHV1dRQVFXHrrbdSWVlJWVkZVVVVxMXFkZGRwZNPPtnm8zXclb9bubOS0GAXF+ckOF3KefvmhAzS43pz54ubmPv0x/zxlvGMSI85ebzyWAPv7TjEe9sqWLe3GrfHkBoTxrcnZjBrWF/GZ8X7xRz79vTcLwWuFZE5QBgQLSIvAodEJMXba08BKr3PLwH6nfb16UDZV7+pMeY54DmAvLy8s17i1t4edlcxxvDQQw9x++23f+3YDTfcwKJFi6ioqGDevHnnfL5S/mxVYSWX9E8gLKR7Znx0lUm5iSy64xJ+8OdP+fv/Xsdjc4dTU9/E0u0VJ2e55PSJ4PbJOcwe3pcRaTE+20M/k3OeUTDGPGSMSTfGZGFPlK4wxtwMvAXc4n3aLcCb3s/fAuaJSKiIZAO5wCedXnk3mjVrFn/6059OznIpLS2lstL+Lps3bx6vvPIKixYt4oYbbjjn85XyV3ur6thffZzL/XBIpi2D+kbx+l2XkJscyf2vbeGXiwtoaHZz74yBvP/TyXxw3xR+NnswI9N9d+jlbC5knvvjwEIRuRU4ANwIYIzZLiILgR1AC3CXv8+UmTlzJgUFBVx88cWAnc744osvkpSUxLBhw6itrSUtLY2UlJRzPl8pf7Wy0F5oN3VQ4PwcJ0WF8er8i1lVWMmw1JiAWqxMjGn/oj9dJS8vz3x1PfeCggKGDOn+iySc0tPaq/zPzX/YwKFjDbx/7xSnS1FeIpJvjMlr65iu566UOqf6xhY27Kv2y1kyPZWGu1LqnD7afZhmt2FaAA3JBDoNd6XUOa0qrCQyNJi8rDinS1Ht5NPh7gvnA7pDT2mn8k/GGFburGJSbh9CuuCmEqpr+Ow7FRYWRnV1dcAHX+t67mFhYU6XolSbCsprqTjWoOPtfsZnl/xNT0+npKSkR6xz3nonJqV80UrvKpBTB/n+KpDqFJ8N95CQEL0zkVI+YOXOSkakxZAUpX9d+hOfHZZRSjnvyPEmNh2oYZr22v2OhrtS6oxW76rCY2Cqjrf7HQ13pdQZrSqsIj6iF6PSY50uRXWQhrtSqk1uj2FVYSVTBib6xRK36ss03JVSbdpScoSa4806BdJPabgrpdq0amclLoHJuX2cLkWdBw13pVSbVhRWMi4zjtjwXk6Xos6DhrtS6msqjzWwrfRYQK3d3tNouCulvmaV98Ycugqk/9JwV0p9zcrCSvpGhzEkJcrpUtR5Ome4i0iYiHwiIltEZLuIPOLd/7CIlIrIZu8257SveUhEdotIoYjM6soGKKU6V1OLhw+LDjNtcKJf3jtUWe1ZW6YRuNwYUyciIcBHIrLEe+x3xpjfnP5kERmKvZH2MCAVWC4iA/39PqpK9RQbi7+grrFFh2T83DnD3dg1d+u8D0O829nW4b0OeMUY0wjsE5HdwARg3QXWqpTqoMN1jawoqGTZjgo2HzxCRnw4w1JjGJoazdCUaAb1jSIsJOhLX7OqsIqQIOHSAToF0p+1a1VIEQkC8oEBwNPGmA0iciXwDyLyXWAjcJ8xpgZIA9af9uUl3n1KqW6w/3A97+84xLIdFWwsrsEYSIvtzeSBiZTUnOCNz0r5y/piAIJcQv/ECIamRJ8M/eUFh5iYnUBEqM8uGqvaoV3vnndIZbSIxAKvi8hw4BngMWwv/jHgCeAHQFuDdF/r6YvIfGA+QEZGxvnUrpTC3vBla+lRlm23gb7rkP1De2hKNPdMz+WKockMTYk+OX7u8RhKak6wvewoO8qPsaPsGOv3fsEbm8tOfs9vT8x0pC2q83ToV7Mx5oiIrAJmnz7WLiL/A7zjfVgC9Dvty9KBMr7CGPMc8BxAXl5eYN9uSaku8ubmUh5fspPyow24BCZkx/PPVw/liqHJ9IsPb/NrXC4hIyGcjIRwrhyRcnJ/dV0jBeW1FH9Rz/Vj9I9tf3fOcBeRRKDZG+y9gRnAv4lIijGm3Pu064Ft3s/fAv4qIr/FnlDNBT7p/NKV6rk8HsNv39/FUyt3M7pfLPfPHMTlg5OIizj/q0kTIkO5LDeUy9Cx9kDQnp57CvC8d9zdBSw0xrwjIn8RkdHYIZf9wO0AxpjtIrIQ2AG0AHfpTBmlOs/xphbufXULS7dXMG98Px69bji9gvWSFfVl4gs3oM7LyzMbN250ugzlw9weQ2OLm6YWD00tHhq9W1OLhya35+T+kCBhfFY8rgBdorbsyAlue2EjBeXH+PlVQ/nBpVk6F70HE5F8Y0xeW8f0dLjyafnFNTy1ooiVhe2/UfrgvlE8MMsOUwRS8G0+eITbXtjIiSY3f7xlvC7Fq85Kw135HGMM6/ZW89SK3azdU018RC9un5xDXEQvQoNd9Ap20SvIfmx9HBocRK9gFwe/OM6THxRx6/MbycuM42ezBzMhO97pJl2wt7aU8cBrW0iKDuWlH05kYLIuC6DOTodllM8wxrBqVxVPrdhNfnENSVGhzJ+cw7cmZhDeq/39kGa3h4UbD/LkB0UcOtbItEGJ3D9rEMNSY7qw+q7h8Rh+/0ERT35QxISseJ79zjjiL+CkqQosZxuW0XBXjvN4DMt2HOKplUVsKz1GWmxvfjQlhxvz+n3t6smOONHk5vl1+3lm1R6Onmjm2lGp3HvFQLL6RHRi9V3nRJOb+17bzOKtFdw4Lp1fXj9CT5yqL9FwVz7J7TG8u7Wcp1fspvBQLZkJ4dw1dQBzx6R1aogdPdHMc2v28KeP9tPs9nDT+H78eHouydFhnfYane1A9XHu+usmtpUd5R+vHMIPJ2UH1PkD1Tk03JXPWb2rin99t4DCQ7UMSIrkH6YN4OqRKQQHdV3PtLK2gadW7OblTw4Q5BIWzB7M9y7xndkmxhjW7qnmz2v380HBIXqHBPHkN8cwfUiy06UpH6XhrnxGYUUtv1xcwJpdVWQmhPPArEHMGZ7SrVMXD1Qf5+G3t7NiZyWXD07i1zeMJCEytNte/6vqG1v4v00lPL+umN2VdcRH9GLe+H7cfFEmqbG9HatL+T4Nd+W4ytoGfvf+Ll799CCRocH8eHou37k4k9Dg8x9TvxDGGF5YV8wvFxcQ2zuE3900uttXQdxbVccL64r5W34JtY0tjEiL4ZZLsrh6ZMoFnWtQPYfOc1eOOdHk5o8f7eWZVXtobPFwyyVZ/Pjy3Au6TL4ziAi3XJLF+Kx47n55Ezf/cQO3T+7PfTMHEtKFQ0Mej2HVrkqeX1vM6l12ad05I1K45ZIsxvSL9ZkhIuX/NNxVl/B4DG9sLuXX7xVSfrSBWcOSefDKIWT72EyVoanRvHP3JB59ZwfPrt7Dur3VPDlvNJkJnVenMYbtZcd4e0sZb28po+xoA0lRofx0xkC+ObEfSVG+e2JX+S8dllGdyhjDx7ur+belO9laepSR6TH8fM4QJuYkOF3aOS3eWs6Df/scj4FfzB3O3AtcGXF3ZR1vbSnjnS1l7D1cT7BLmDwwkevHpDFrWF+d1qgumA7LqC7X4vawZFsF/71mD9tKj5EaE8bvbxrNtaNS/WadlzkjUhiZHsNPXtnMT17dzJqiKh69bjiRHbhpRUnNcd7eUs5bW8ooKD+GCFyUncBtk3OYPayv48NRqufQnru6IMebWlj46UH+8NE+SmpOkNMngvmTc5g7Js1vTwq2uD08uWI3T60oIiM+nGmDkxAEl4AIuETA+1Gw+4yB9Xur2XTgCABjMmK5ZmQqV49MIcmH59Mr/6azZVSnO1zXyAtr9/PC+mKOHG9mXGYct0/OYcaQZL/pqZ/Lhr3V/OPrW6k81ogBPMZgDBgMHgMY7z7scNTA5CiuHZ3KNSNTz3ijDKU6kw7LqE6z/3A9//PhXhbll9DY4uGKocncPjmHvCz/X5zrqybmJPDBfVOdLkOp86Lhrs7JGMMn+77gz2v3s3R7BSEuF98Ym8YPJ+UwICnS6fKUUm3QcFdn1NDs5q3NZfzv2v0UlB8jpncIP5rSn+9fkqXjyEr5uPbcQzUMWAOEep+/yBjzLyISD7wKZGFvs/f3xpga79c8BNwKuIEfG2Pe65LqVZcoO3KCF9cX8/InB6g53syg5Cge/8YIrhudRu9e/nmSVKmepj0990bgcmNMnYiEAB+JyBLgG8AHxpjHReRB4EFggYgMBeYBw7A3yF4uIgP1Pqq+zRjDxuIa/vyxHXoxxnDF0GS+d0k2F+XE65WTSvmZc4a7sdNp6rwPQ7ybAa4Dpnr3Pw+sAhZ4979ijGkE9onIbmACsK4zC1edo6HZzdtbyvjz2v1sLztGdFgwP7wsm5svytQZH0r5sXaNuYtIEJAPDACeNsZsEJFkY0w5gDGmXERab+iYBqw/7ctLvPuUDzn4xXFeXF/MqxsPcuR4MwOTI/nX60cwd0xqh+56pJTyTe36X+wdUhktIrHA6yIy/CxPb+vv969NpheR+cB8gIyMjPaUoS6Qx2NYXVTFX9YVs7KwEpcIM4cm852LM7k4J0GHXpQKIB3qohljjojIKmA2cEhEUry99hSg0vu0EqDfaV+WDpS18b2eA54DexHTedSu2uno8WZeyz/Ii+uL2V99nD6Rodw9bQDfnJhBSoyuF65UIGrPbJlEoNkb7L2BGcC/AW8BtwCPez++6f2St4C/ishvsSdUc4FPuqB2dRYnmtwUHqrl5Q0HeHNLKQ3NHvIy4/jpFQO5cniKLlqlVIBrT889BXjeO+7uAhYaY94RkXXAQhG5FTgA3AhgjNkuIguBHUALcJfOlOlczW4Ph441UH60gbIjJyg70kD50RNf+rzmeDMAvUOCuH5MGjdflMmw1BiHK1dKdRddW8ZPHK5rZNn2QyzZVs66PdW0eL78vkWHBZMa25vU2N6kxISRGtub9LjeTB2YREx4iENVK6W6kq4t46cqaxt4b1sFi7dWsGFfNR4DWQnhfP/SLHISI22Yx4SREtu7Q8vSKqUCnyaCj6k42sDSbeUs3lbBp/u/wBjISYzgrmkDmDMihcF9o3RWi1LqnDTcfUBJzXGWbqtgybYK8otrABiUHMU903OZMyKF3KRIDXSlVIdouDtk/+F6lmyrYOm2craUHAVgSEo0910xkCtHpOhqi0qpC6Lh3o12V9ayZGsFi7dVUFB+DIBR6TEsmD2YK4f3JcvHbh6tlPJfGu5d7OAXx3ktv4QlW8spqrRL9IzLjOOfrhrC7OF9SY/T9VuUUp1Pw72L1NQ38Z8rdvOX9ftxewwTsuP5zsXDmDWsL8m6FrpSqotpuHeyhmY3//vxfv5r1W7qG1u4aXw/7pk+kL4xGuhKqe6j4d5J3B7D65+V8sSyQsqPNjBjSBILZg8mNznK6dKUUj2QhvsFMsawpugwv1pcwM6KWkalx/C7m0ZzUU6C06UppXqwgA73FreHnRW15BfXsKPsGMPTorlmVCqx4b065ftvKz3K40t28tHuw2TEh/PUt8Zw1YgUnZOulHJcQIV7TX0Tnx2sIb+4hk3FR9h88Agnmu2aZdFhwby68SCPvVPAFcOSuWFcOpMG9CE4qGOrI5YfPcGqwiqW7zjEBzsriQsP4Z+vHsq3L8ogNFjvL6qU8g1+He7VdY28v+OQDfMDNeypqgcgyCUMS43mpvH9GJsZx7jMOFJjwthRfoxF+SW8ubmMdz8vJykqlOvHpnHjuHQGJLU9Nt7i9rDpwBFWFlaycmclOytqAUiL7c1d0/ozf3J/YnrrwlxKKd/i16tCbi05yjVPfURceAjjMuMYmxnH2Iw4RqbHnPVWcU0tHlbsrGRRfgkrCytxewyj+sVyw7h0rh2ZSpPbw+pdVawsrOTDXVUca2gh2CXkZcUxbVASlw9OYoAuCaCUctjZVoX063BvcXs4WHOCrITw8w7aqtpG3txcymsbSyg8VEtIkNDstv8miVGhTBuUyLRBSVya24foMO2hK6V8R8CGe2cyxrC97BhvbSkjKjSYaYOTGJoSjculvXOllG/S9dzbQUQYnhbD8DS9W5FSyv/pjTSVUioAabgrpVQA8okxdxGpAoov4Fv0AQ53UjlOCpR2gLbFFwVKO0Db0irTGJPY1gGfCPcLJSIbz3RSwZ8ESjtA2+KLAqUdoG1pDx2WUUqpAKThrpRSAShQwv05pwvoJIHSDtC2+KJAaQdoW84pIMbclVJKfVmg9NyVUkqdRsNdKaUCkIa7UkoFIA13pZQKQBruSikVgDTclVIqAGm4K6VUANJwV0qpAKThrpRSAUjDXSmlApCGu1JKBSANd6WUCkA+cYPsPn36mKysLKfLUEopv5Kfn3/4THdi8olwz8rKYuPGjU6XoZRSfkVEznh7Uv8flmmqd7oCpZTyOf4d7lW74N9zYOF3oeBtaG5wuiKllPIJPjEsc96CQ2Hsd2Hb/8GONyE0BoZcAyNugOzJ4ApyukKllHKET9yJKS8vz1zQmLu7Bfathq2LbA++qRYik2HYN2DEjZA2FkQ6r2CllGOam5spKSmhoaHn/KUeFhZGeno6ISEhX9ovIvnGmLy2viYwwv10zSdg13uw9TUoWgbuJojLtr354TdA0uDOeR2llCP27dtHVFQUCQkJSA/otBljqK6upra2luzs7C8dO1u4+/ewTFtCesOwuXY7cQR2vmOD/sMnYM2vIXk4DP+G7dXHZ5/jmymlfE1DQwNZWVk9ItgBRISEhASqqqo69HWBF+6n6x0LY262W22FHZff9jf44FG7pY2D4X8Hw66H6FSnq1VKtVNPCfZW59Ne/54t0xFRfWHi7XDrMvjJVrjiUfC0wHv/CL8dCv87Bz79A9QfdrpSpZSfmTp1qs9dqxPYPfczic2AS++x2+HdsP3/7MnYd++DxT+zM22GXW9n3oTHO12tUkp1WM/puZ9JnwEw5Wdw1wa4Y60N/Jr98PaP4Te58OLfwWcvwokapytVSvmA+vp6rrrqKkaNGsXw4cN59dVXv3T85ZdfZsSIEQwfPpwFCxac3B8ZGcl9993H2LFjmT59+skx9D179jB79mzGjRvHpEmT2LlzZ6fU2TN77m0RgeRhdpv+z1C+xfbot78Ob94Fb/8E+l9ue/SD50BYjNMVK6WWPAgVWzv3e/YdAVc+fsbDS5cuJTU1lXfffReAo0eP8swzzwBQVlbGggULyM/PJy4ujpkzZ/LGG28wd+5c6uvrGTt2LE888QSPPvoojzzyCE899RTz58/n2WefJTc3lw0bNnDnnXeyYsWKC26GhntbRCB1tN1mPAJlm+yFUtvfgKL3IKgXDJgBQ+fCoNka9Er1ICNGjOD+++9nwYIFXH311UyaNOnksU8//ZSpU6eSmGjX8vr2t7/NmjVrmDt3Li6Xi5tuugmAm2++mW984xvU1dWxdu1abrzxxpPfo7GxsVPq7LJwF5FY4A/AcMAAPzDGrOuq1+syInZWTdo4uOIxKM23vfntr0PhYhv0/afD0Otg0JV2ho5SqnucpYfdVQYOHEh+fj6LFy/moYceYubMmSePdeS6IRHB4/EQGxvL5s2bO73Orhxz/w9gqTFmMDAKKOjC1+oeLhf0Gw+z/xV+uh1+sAzG32b/LHzjR/DrAfDSjfDZSzpGr1SAKisrIzw8nJtvvpn777+fTZs2nTw2ceJEVq9ezeHDh3G73bz88stMmTIFAI/Hw6JFiwD461//ymWXXUZ0dDTZ2dm89tprgP3lsGXLlk6ps0t67iISDUwGvgdgjGkCmrritRzjckHGRLvN/IXt0e94A3a8BUV3wtvBkDPV9ugHX62zbpQKEFu3buWBBx7A5XIREhLCM888w/333w9ASkoKv/rVr5g2bRrGGObMmcN1110HQEREBNu3b2fcuHHExMScPBH70ksvcccdd/CLX/yC5uZm5s2bx6hRoy64zi5ZfkBERgPPATuwvfZ84B5jTJvr83bq8gNOM8aO0W9/w4b9kQMgQZA9CYZca4M+KtnpKpXyWwUFBQwZMsTpMjosMjKSurq68/76ttp9tuUHumpYJhgYCzxjjBkD1AMPfqWo+SKyUUQ2dvSyWp/WOkY/8zG453OYv8pOrzxaAu/eC08Mgj/NhnX/BUcOOl2tUipAdVXPvS+w3hiT5X08CXjQGHNVW88PqJ77mRgDlQVQ8JYduqncbvenjoWh19pefUJ/Z2tUyg/4a8/9QnW0594lY+7GmAoROSgig4wxhcB07BBNzyUCyUPtNvVBqN5j17opeAuWP2y3pGEw5Gp7ZWzycF2mWCl13rpynvvdwEsi0gvYC3y/C1/L/yT0h0n32u3IQbsOfcHbsPrfYfW/QWymDfkh10D6BHsCVykF2FklPWnxsPMZYQm89dz9XV2VnT9f8La9AYm7CSKS7FWxg6+x694E93K6SqUco+u5n9KzbtYRSBqO2RuO7HwHit6Hpjp7K8GBM2HwVfYq2dAop6tUqlvpnZhO0XAPBM0NsHcV7HwbCpfA8Wp7dWz2FBv0g660yxorpXoMDfdA43HDwQ2w813bq6/Zb/enj4dBc+xc+sSBjpaolOp6Gu6BrHWKZeG7NuzLPrP7EwZ4e/RXQXoeuIKcrVMp1ek03HuSo6X2hOzOd2H/h/ZuU+F9YOBsO3TTfxr0inC6SqVUJ9Bw76kajsLu5XaMvmiZfRwUate8GXSlDfzoFKerVEqdp26/iEn5iLAYewPw4X8H7mY4sM4G/c537br0YK+QHTQHBs6yNynoAVPLlOoJtOfeExkDVTvt8E3hEij51O6PTrchP3C2nU8fEuZsnUqps9JhGXV2tYfssM2upbBnJTTXQ0i4Hb5pDXudZqmUz9FhGXV2Uckw9jt2a26A4o+gcKkN+8LF9jkpo73j9LOg7yhdDkEpH6c9d3VmxkDlDm/IL/UO3xiITIYBV9grZXOmQVi005Uq1SPpsIzqHPWH7eybXe/Bng/s7BtXCGReDLmzbK8+YYCelFWqm2i4q87nbrFXyRa9B7uWQZX3FrlxWd6gnwmZl+lJWaW6kIa76npHDtgefdH7djXLlgYI7m1n3eReYbe4LKerVCqg6AlV1fViM2DCbXZrPgH7P7JBX7Ts1Jz6hFzInQm5MyDzUggOdbZmpQKY9txV16ve4w35923ouxshJMLbq59hly7WXr1SHaY9d+WshP6QcAdcdAc0Hbdr3rT26nct8T4n14b8gBmQdSmE9Ha2ZqX8nPbclXOMsb363cvttv9D71h9mB22aQ37Prk6A0epNjhyQlVE9gO1gBtoOVMBoOGuvJpPQPFa2P2BDfvDhXZ/TD8YMB36T7dDOb1jHS1TKV/hZLjnGWMOn+u5Gu6qTUcOnAr6vauhqRYkyK5P3/9yG/apYyBIRxdVz6ThrvyfuxlKNtqLp/asgNJNgLErX+ZMPRX2sf2crlSpbuNUuO8DagAD/Lcx5rkzPVfDXXXY8S/sPWX3fGAXOztWavcn5NobkuRMg6zLdGkEFdCcCvdUY0yZiCQB7wN3G2PWnHZ8PjAfICMjY1xxcXGX1KF6AGPg8C47hLNnBRR/DM3HwRVs7yubM80GfupYHcJRAcXxK1RF5GGgzhjzm7aOa89ddaqWRrs0wp6VsHcllG0GDITGQPakU8M48Tk6C0f5tW6f5y4iEYDLGFPr/Xwm8GhXvJZSXxMcamfVZE8G/sUO4exbbcN+z0rY+Y59XkwG5Ey2PfvsyRCZ5GjZSnWmrvobNRl4XWyvKBj4qzFmaRe9llJnFx4Pw663mzHwxV47fLNvNRS8DZ+9aJ+XNMz26nOmQuYlEBrpZNVKXRC9iEn1bB43lG+2Uy33roID6+3yCK3j9dlTIGcKpOVBcC+nq1XqSxwfcz8XDXflM5pP2PH6vavs1jpeHxIOGRfb4ZucKdB3JLiCnK1V9Xi6toxS7RXS+9TQDNjx+uKPYd8auy3/F7s/LAayJtmeffZkSBykJ2eVT9FwV+pswuNhyDV2A6itgH0f2vH6fatPnZyNTPaG/ST7UWfiKIdpuCvVEVF9YeSNdgOo2W979HtX24XPti2y+6PTvhz2cZmOlax6Jg13pS5EXJbdxn7XezFVEexfY3v3u5fD56/Y58VmQJZ3emb2JIhOdbJq1QNouCvVWUQgcaDdxv8QPB6o2ml79PvW2CGczd5pl3HZdnmErEl2/fqYdGdrVwFHZ8so1V08Hji0zd6Nav9HUPwRNBy1x+KyToV95qW6AJpqF50KqZQv8rjh0HY7G6c18BuO2GOxmTbsMy+1F1TFZekJWvU1Gu5K+QOPByq3w/6P7VBO8cdwosYei06zIZ95qd307lQKneeulH9wuaDvCLtd9KNTY/bFH5+aa7/1NfvciERv2F9mPyYNtV+vlJeGu1K+yuWC5KF2m3DbqXvOtob9/o9hx5v2uWEx9grajItt2KeM1uUSejgNd6X8hQj0GWC3cbfYfUcO2JA/sBaK18Eu7/p8wb3t7QgzL7GB328C9IpwrnbV7TTclfJnsRkwOgNGf9M+rquCA+vsjcYPrIU1vwbjsfeeTRnlDfuLoN9FEJnobO2qS+kJVaUCWcMxKPnE9uoPrIPSfGhpsMcSBtigbx3O0SUT/I6eUFWqpwqLhgEz7Ab2LlXlW2zQH1gPO989tZ59ROKpXn3GRXblSx2391sa7kr1JMGhdvy93wS49B47I6e66FTYH1hnb2ACEBwGaeOg30TvNsEupKb8goa7Uj2Zy2WXK04cBOO+Z/cdK7dr2h/cYAN/7ZPgabHH+gyCjNawvwgS+utQjo/SMXel1Nk1HYeyTTboW0O/ddmE8ARI9/4l0G8ipI6BXuHO1tuD6Ji7Uur89Qr3rntzmX3s8cDhQhv2JZ/CwU9g1xJ7zBVsL8LqN9HeprDfRLsomvbuu12X9dxFJAjYCJQaY64+23O1566Unzv+hTfoN9iwL82H5uP2WFQq9Btvwz59gp2SGRLmbL0Bwqme+z1AARDdha+hlPIF4fEwcJbdANwtdgXM0wO/9WpaV4i3dz/BG/h5dqE07d13qi4JdxFJB64Cfgnc2xWvoZTyYUHBkDrabhNus/vqKqFko513X7IRNr0AG561xyKSTgV9ep4duw+Ncqr6gNBVPfffAz8DzvjuiMh8YD5ARkZGF5WhlPIZkUkweI7dwPbuK3ecCvuDn0Dhu/aYuCBxCKSPs6Gflmdn9LiCnKvfz3T6mLuIXA3MMcbcKSJTgft1zF0p1S7Hv7Dj9SUb7ZBOaf6pNe57RUHaGBv06Xn2Y1Syo+U6rbvH3C8FrhWROUAYEC0iLxpjbu6C11JKBZLweMi9wm5waiXMkk+h1Bv4p8+7j06HtLH2Yqv0PLsaZmikY+X7ki6d5649d6VUp2s+YZdQKM0/tdXst8fEBYmDTwV+2ji71n1QiKMldxWd566UChwhvb0Lnl10al999ZfDfufiU2vmBIfZ2Tlp4yB1rA3++P4Bf3MTvUJVKRV4jLG9+dJ8KN1kr7At33Jq7n1oDKSO8ob9OBv40Wl+Nx1Te+5KqZ5FBOKz7TbiBrvP3WKvrG0N+9JNsO5p8DTb4xGJdgpm6ljvxzF+fcJWw10p1TMEBUPyMLuN/Y7d19wAh7bbHn75Zij7DHYvtzc4AXt1bWvQt24RCY41oSM03JVSPVdImHcu/bhT+5rqofxzG/StW+v8e4CYfnYJhdTRkDLGfozo092Vn5OGu1JKna5XBGRebLdWDUe9gb8JyjbbXv7Od04dj073hv3oUx8dvo2hhrtSSp1LWAxkT7JbqxNHoOLzU2FftvkrgZ9me/inb1Ep3XbSVsNdKaXOR+9YyJ5st1atPfzyzXZ2TvkWKFwCeGclRiR+PfC7aNE0DXellOosbfXwG+vsCpmtYV++BfasBOO2x4dcCzf9pdNL0XBXSqmuFBr59YuumhugcrsN+siumW6p4a6UUt0tJOzU8ghdJLCvv1VKqR5Kw10ppQKQT6wtIyJVQPEFfIs+wOFOKsdJgdIO0Lb4okBpB2hbWmUaY9qcUO8T4X6hRGTjmRbP8SeB0g7QtviiQGkHaFvaQ4dllFIqAGm4K6VUAAqUcH/O6QI6SaC0A7QtvihQ2gHalnMKiDF3pZRSXxYoPXellFKn8ZtwF5GAuZpWRJxdC7QTiPjZ/ciU3xERv8knX+Tz/3giEiwivwGeEJEZTtdzIUQkSEQeBdaKSKbT9Vyg3q2f+HvQi8g4EYl0uo4LJSLfFZEpIhLjfezz/7/PRETuBh4UkWina7lQTr0vPv3me0PjSSAF+ARYICJ3iUios5V1nIhMAoqAKGCSMeZCLtpyjIhMF5GPgKdF5GYA46cnbrxt+RD4ISfXZPUvYqWIyErgFuBbwDMi0scY4/G3X7wiMlFE1gOXA28ZY445XdP58IX3xafDHRuEo4EfGWNeAn4DDARudLKo83QMiDLG/NQYUyEi2SIS53RRHSEi8cAvgN8DLwA3iMj/8x7z9Z8l4OR/uiARuRN4EXjaGHOHMaa+9bizFbafiAR5f7FGAaXGmOnAXdirHf/b0eI6SERc3p+hb2Hbcr0xZpuIhDtdW0eJSC9feF98ehzbGHNMRPYD3wP+E/gY24u/WESWG2MqHCyvQ4wxW0TkdRFZCNQAg4BGEfkf4HVjWhd39i2toW2M8QCpwFa89YpICbBeRP5gjCkXEfHlXvxpbXGLSD3wMrDSe2wOsA6oBVp8uS3e80+PAkEishiIBtwAxpgWEbkHKBORKcaY1SLi8r5/Pue0toQAfwPeBi4VkZuAwUCGiKwDVhhj9vp4W4KAx4AEEfkbEIuD74s/9LZeB0aLSIoxpg4bLk3YkPc3DwAjgTJjzFTgFWASMMbJos5ERL4PlGB/YAHqgIuxa2FgjCkCXgKecqTADjitLb/07lqMDfI/iMgOYD7wLPCwIwW2k4hMAfKBOGA39r1pBqaJyAQ4OUz2KN62+HAYnt6WXcAT2OExN7b+vsC72P8fT4JPt2UG8Dk20FcAjwNlwFTH3hdjjE9v2BD/d+Ch0/Z9BFzidG3n2Z7krzxeDFztdF1t1BkJvAHcA2wCBnn3Pw+8fNrzooENQK7TNXegLQO9+2di/yIc5X08AtgCjHC65rO0ZRLwndMe/xdwB/av23zvPhc2GBdiF5ZyvO52tuUp4B+9P1MXnbY/DhuYw52u+SxtGQRMPe3x/wEZwO3Ap068Lz7fczfGlGP/Y14pIjeKSBbQALQ4Wdf5MsYcav1cRPpjh8aqnKuobcb+lfRjY8x/AMs41Xu/E5guIq23hq/HBmJD91fZPm205VHvoeXAz40xW7yPC4DPAF8ed88HFnqHAMAOVWYYY/6MHaa529geYTrgNr594v6rbVkLxBh7EnXDac8bApRi3x+fZIwpNMasEpFoEVkCTMD23j8D4kXkNuxfJd32vvh8uAMYY9YCvwKuBJYCbxhjPnG2qvPjPaGXICIvAK8Ci4wxG871dU4wxhzwfvp7IEtErjL2xOMjwD95hzr+CRiFDXmf9ZW25IjILG8Inl73Aux/voPdXF67GWOOG2MazalzNFdwqnPwfWCIiLyDPZ+wCXz3JHEbbZmJHTrDGGNEJElEfg48g+39un21La28v5jeMsakY4eUZmD/2h2BPZ/wV7rpffGr5QdEJAT7vvtlr72V2DnV3wb+bIxpdLqe9hCR24GbjTGTvI+vBKYBacCDxhifDcSv8rblW8aYKd7HVwE/w/YOHzDGlDpZX3t4e7sGGyB3G2N2i8gA7IyM4cA+f2gHfK0t/2CM2eP9q3Yu0B/4lT/8fLV1Et77i/Y/jTHvicg0YFd3vS9+Fe7KGa1n9UVkEVABeIA/AFu/+sPs677SlnLsSeLNQJExZpOjxXWAt9fXC/s+vA78AKjGBr1fzQ1voy0/xN6855+NMT43ZNleIpKDnfr4sDHm4+5+fZ+eCql8gzcMw4EkYArwmDHmc4fLOi9factU4FFjzKvOVtVx3mGLMdi/ALOB/zXG/NHhss5LILXFO902DXs9yHDgWSeCHTTcVfvdiR0rvMJfhpLOIlDaUgL8HPitn7cDAqQt3s5DI/aaiflOtkWHZVS7+PLFIx0VSG1R6kw03JVSKgD5xVRIpZRSHaPhrpRSAUjDXSmlApCGu1JKBSANd6WUCkAa7kopFYA03JVSKgD9f32+aSnF8CGRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\n"
     ]
    }
   ],
   "source": [
    "for fit in [fit2,fit4]:\n",
    "    pd.DataFrame(np.c_[fit.level,fit.trend]).rename(\n",
    "        columns={0:'level',1:'slope'}).plot(subplots=True)\n",
    "plt.show()\n",
    "print('Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison\n",
    "Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:18.038995Z",
     "start_time": "2017-12-07T12:39:17.108323Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\n"
     ]
    }
   ],
   "source": [
    "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n",
    "fcast1 = fit1.forecast(9).rename(\"SES\")\n",
    "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n",
    "fcast2 = fit2.forecast(9).rename(\"Holt's\")\n",
    "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n",
    "fcast3 = fit3.forecast(9).rename(\"Exponential\")\n",
    "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(damping_trend=0.98)\n",
    "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n",
    "fit5 = Holt(livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\").fit()\n",
    "fcast5 = fit5.forecast(9).rename(\"Multiplicative Damped\")\n",
    "\n",
    "ax = livestock2.plot(color=\"black\", marker=\"o\", figsize=(12,8))\n",
    "livestock3.plot(ax=ax, color=\"black\", marker=\"o\", legend=False)\n",
    "fcast1.plot(ax=ax, color='red', legend=True)\n",
    "fcast2.plot(ax=ax, color='green', legend=True)\n",
    "fcast3.plot(ax=ax, color='blue', legend=True)\n",
    "fcast4.plot(ax=ax, color='cyan', legend=True)\n",
    "fcast5.plot(ax=ax, color='magenta', legend=True)\n",
    "ax.set_ylabel('Livestock, sheep in Asia (millions)')\n",
    "plt.show()\n",
    "print('Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-10-05T09:40:15.958575Z",
     "start_time": "2017-10-05T09:40:15.615Z"
    }
   },
   "source": [
    "## Holt's Winters Seasonal\n",
    "Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing  including a trend component and a seasonal component.\n",
    "statsmodels allows for all the combinations including as shown in the examples below:\n",
    "1. ```fit1``` additive trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "1. ```fit2``` additive trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation..\n",
    "1. ```fit3``` additive damped trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "1. ```fit4``` additive damped trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "\n",
    "The plot shows the results and forecast for ```fit1``` and ```fit2```.\n",
    "The table allows us to compare the results and parameterizations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.375871Z",
     "start_time": "2017-12-07T12:39:18.040674Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Additive</th>\n",
       "      <th>Multiplicative</th>\n",
       "      <th>Additive Dam</th>\n",
       "      <th>Multiplica Dam</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>$\\alpha$</th>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\beta$</th>\n",
       "      <td>1.409864e-08</td>\n",
       "      <td>5.533042e-25</td>\n",
       "      <td>6.490738e-09</td>\n",
       "      <td>5.042333e-09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\phi$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.430416e-01</td>\n",
       "      <td>9.536043e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\gamma$</th>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>5.388625e-16</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.899280e-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$l_0$</th>\n",
       "      <td>1.119348e+01</td>\n",
       "      <td>1.106373e+01</td>\n",
       "      <td>1.084022e+01</td>\n",
       "      <td>9.899275e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$b_0$</th>\n",
       "      <td>1.205395e-01</td>\n",
       "      <td>1.198953e-01</td>\n",
       "      <td>2.456749e-01</td>\n",
       "      <td>1.975443e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SSE</th>\n",
       "      <td>4.402746e+01</td>\n",
       "      <td>3.611262e+01</td>\n",
       "      <td>3.527619e+01</td>\n",
       "      <td>3.062033e+01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Additive  Multiplicative  Additive Dam  Multiplica Dam\n",
       "$\\alpha$  1.490116e-08    1.490116e-08  1.490116e-08    1.490116e-08\n",
       "$\\beta$   1.409864e-08    5.533042e-25  6.490738e-09    5.042333e-09\n",
       "$\\phi$             NaN             NaN  9.430416e-01    9.536043e-01\n",
       "$\\gamma$  0.000000e+00    5.388625e-16  0.000000e+00    1.899280e-15\n",
       "$l_0$     1.119348e+01    1.106373e+01  1.084022e+01    9.899275e+00\n",
       "$b_0$     1.205395e-01    1.198953e-01  2.456749e-01    1.975443e-01\n",
       "SSE       4.402746e+01    3.611262e+01  3.527619e+01    3.062033e+01"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit1 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit2 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit3 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', damped_trend=True, use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit4 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', damped_trend=True, use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "results=pd.DataFrame(index=[r\"$\\alpha$\",r\"$\\beta$\",r\"$\\phi$\",r\"$\\gamma$\",r\"$l_0$\",\"$b_0$\",\"SSE\"])\n",
    "params = ['smoothing_level', 'smoothing_trend', 'damping_trend', 'smoothing_seasonal', 'initial_level', 'initial_trend']\n",
    "results[\"Additive\"]       = [fit1.params[p] for p in params] + [fit1.sse]\n",
    "results[\"Multiplicative\"] = [fit2.params[p] for p in params] + [fit2.sse]\n",
    "results[\"Additive Dam\"]   = [fit3.params[p] for p in params] + [fit3.sse]\n",
    "results[\"Multiplica Dam\"] = [fit4.params[p] for p in params] + [fit4.sse]\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', title=\"Forecasts from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit1.fittedvalues.plot(ax=ax, style='--', color='red')\n",
    "fit2.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "\n",
    "fit1.forecast(8).rename('Holt-Winters (add-add-seasonal)').plot(ax=ax, style='--', marker='o', color='red', legend=True)\n",
    "fit2.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "\n",
    "plt.show()\n",
    "print(\"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\")\n",
    "\n",
    "results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Internals\n",
    "It is possible to get at the internals of the Exponential Smoothing models. \n",
    "\n",
    "Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\\hat{y}_t$. Note that these values only have meaningful values in the space of your original data if the fit is performed without a Box-Cox transformation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit1 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', initialization_method=\"estimated\").fit()\n",
    "fit2 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.399765Z",
     "start_time": "2017-12-07T12:39:28.377215Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>$\\hat{y}_t$</th>\n",
       "      <th>$b_t$</th>\n",
       "      <th>$l_t$</th>\n",
       "      <th>$s_t$</th>\n",
       "      <th>$y_t$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-01</th>\n",
       "      <td>44.584128</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>34.297595</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>41.7275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-04-01</th>\n",
       "      <td>24.938189</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>34.895417</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>24.0418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-01</th>\n",
       "      <td>33.005765</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>35.493239</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>32.3281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-10-01</th>\n",
       "      <td>37.031107</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>36.091061</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>37.3287</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-01-01</th>\n",
       "      <td>46.975416</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>36.688883</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>46.2132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-04-01</th>\n",
       "      <td>27.329477</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>37.286705</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>29.3463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-07-01</th>\n",
       "      <td>35.397053</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>37.884527</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>36.4829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-10-01</th>\n",
       "      <td>39.422395</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>38.482349</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>42.9777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-01-01</th>\n",
       "      <td>49.366704</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>39.080171</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>48.9015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-04-01</th>\n",
       "      <td>29.720765</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>39.677993</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>31.1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-07-01</th>\n",
       "      <td>37.788341</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>40.275815</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>37.7179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-10-01</th>\n",
       "      <td>41.813683</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>40.873637</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>40.4202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-01-01</th>\n",
       "      <td>51.757991</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>41.471459</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>51.2069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-04-01</th>\n",
       "      <td>32.112053</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>42.069281</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>31.8872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-07-01</th>\n",
       "      <td>40.179629</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>42.667103</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>40.9783</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-10-01</th>\n",
       "      <td>44.204971</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>43.264925</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>43.7725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-01-01</th>\n",
       "      <td>54.149279</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>43.862747</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>55.5586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-04-01</th>\n",
       "      <td>34.503341</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>44.460569</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>33.8509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-07-01</th>\n",
       "      <td>42.570917</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>45.058391</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>42.0764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-10-01</th>\n",
       "      <td>46.596258</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>45.656213</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>45.6423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>56.540567</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>46.254035</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>59.7668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-04-01</th>\n",
       "      <td>36.894629</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>46.851857</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>35.1919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-07-01</th>\n",
       "      <td>44.962205</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>47.449679</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>44.3197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-10-01</th>\n",
       "      <td>48.987546</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>48.047501</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>47.9137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-01</th>\n",
       "      <td>58.931855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-04-01</th>\n",
       "      <td>39.285917</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-07-01</th>\n",
       "      <td>47.353493</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-10-01</th>\n",
       "      <td>51.378834</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01</th>\n",
       "      <td>61.323143</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-04-01</th>\n",
       "      <td>41.677205</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-07-01</th>\n",
       "      <td>49.744781</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-01</th>\n",
       "      <td>53.770122</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            $\\hat{y}_t$     $b_t$      $l_t$      $s_t$    $y_t$\n",
       "2005-01-01    44.584128  0.597822  34.297595  10.286532  41.7275\n",
       "2005-04-01    24.938189  0.597822  34.895417  -9.957228  24.0418\n",
       "2005-07-01    33.005765  0.597822  35.493239  -2.487474  32.3281\n",
       "2005-10-01    37.031107  0.597822  36.091061   0.940046  37.3287\n",
       "2006-01-01    46.975416  0.597822  36.688883  10.286532  46.2132\n",
       "2006-04-01    27.329477  0.597822  37.286705  -9.957228  29.3463\n",
       "2006-07-01    35.397053  0.597822  37.884527  -2.487474  36.4829\n",
       "2006-10-01    39.422395  0.597822  38.482349   0.940046  42.9777\n",
       "2007-01-01    49.366704  0.597822  39.080171  10.286532  48.9015\n",
       "2007-04-01    29.720765  0.597822  39.677993  -9.957228  31.1802\n",
       "2007-07-01    37.788341  0.597822  40.275815  -2.487474  37.7179\n",
       "2007-10-01    41.813683  0.597822  40.873637   0.940046  40.4202\n",
       "2008-01-01    51.757991  0.597822  41.471459  10.286532  51.2069\n",
       "2008-04-01    32.112053  0.597822  42.069281  -9.957228  31.8872\n",
       "2008-07-01    40.179629  0.597822  42.667103  -2.487474  40.9783\n",
       "2008-10-01    44.204971  0.597822  43.264925   0.940046  43.7725\n",
       "2009-01-01    54.149279  0.597822  43.862747  10.286532  55.5586\n",
       "2009-04-01    34.503341  0.597822  44.460569  -9.957228  33.8509\n",
       "2009-07-01    42.570917  0.597822  45.058391  -2.487474  42.0764\n",
       "2009-10-01    46.596258  0.597822  45.656213   0.940046  45.6423\n",
       "2010-01-01    56.540567  0.597822  46.254035  10.286532  59.7668\n",
       "2010-04-01    36.894629  0.597822  46.851857  -9.957228  35.1919\n",
       "2010-07-01    44.962205  0.597822  47.449679  -2.487474  44.3197\n",
       "2010-10-01    48.987546  0.597822  48.047501   0.940046  47.9137\n",
       "2011-01-01    58.931855       NaN        NaN        NaN      NaN\n",
       "2011-04-01    39.285917       NaN        NaN        NaN      NaN\n",
       "2011-07-01    47.353493       NaN        NaN        NaN      NaN\n",
       "2011-10-01    51.378834       NaN        NaN        NaN      NaN\n",
       "2012-01-01    61.323143       NaN        NaN        NaN      NaN\n",
       "2012-04-01    41.677205       NaN        NaN        NaN      NaN\n",
       "2012-07-01    49.744781       NaN        NaN        NaN      NaN\n",
       "2012-10-01    53.770122       NaN        NaN        NaN      NaN"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.c_[aust, fit1.level, fit1.trend, fit1.season, fit1.fittedvalues],\n",
    "                  columns=[r'$y_t$',r'$l_t$',r'$b_t$',r'$s_t$',r'$\\hat{y}_t$'],index=aust.index)\n",
    "df.append(fit1.forecast(8).rename(r'$\\hat{y}_t$').to_frame(), sort=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.574783Z",
     "start_time": "2017-12-07T12:39:28.401234Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>$\\hat{y}_t$</th>\n",
       "      <th>$b_t$</th>\n",
       "      <th>$l_t$</th>\n",
       "      <th>$s_t$</th>\n",
       "      <th>$y_t$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-01</th>\n",
       "      <td>43.005390</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>35.016131</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>41.7275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-04-01</th>\n",
       "      <td>26.352949</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>35.637067</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>24.0418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-01</th>\n",
       "      <td>33.284729</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>36.258004</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>32.3281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-10-01</th>\n",
       "      <td>36.719508</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>36.878940</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>37.3287</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-01-01</th>\n",
       "      <td>46.055825</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>37.499877</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>46.2132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-04-01</th>\n",
       "      <td>28.189633</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>38.120813</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>29.3463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-07-01</th>\n",
       "      <td>35.564800</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>38.741750</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>36.4829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-10-01</th>\n",
       "      <td>39.192516</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>39.362686</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>42.9777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-01-01</th>\n",
       "      <td>49.106261</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>39.983623</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>48.9015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-04-01</th>\n",
       "      <td>30.026317</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>40.604559</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>31.1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-07-01</th>\n",
       "      <td>37.844870</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>41.225496</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>37.7179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-10-01</th>\n",
       "      <td>41.665525</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>41.846432</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>40.4202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-01-01</th>\n",
       "      <td>52.156697</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>42.467369</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>51.2069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-04-01</th>\n",
       "      <td>31.863001</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>43.088305</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>31.8872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-07-01</th>\n",
       "      <td>40.124941</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>43.709242</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>40.9783</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-10-01</th>\n",
       "      <td>44.138533</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>44.330178</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>43.7725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-01-01</th>\n",
       "      <td>55.207133</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>44.951115</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>55.5586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-04-01</th>\n",
       "      <td>33.699685</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>45.572051</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>33.8509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-07-01</th>\n",
       "      <td>42.405012</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>46.192988</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>42.0764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-10-01</th>\n",
       "      <td>46.611542</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>46.813924</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>45.6423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>58.257569</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>47.434861</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>59.7668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-04-01</th>\n",
       "      <td>35.536369</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>48.055797</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>35.1919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-07-01</th>\n",
       "      <td>44.685082</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>48.676733</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>44.3197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-10-01</th>\n",
       "      <td>49.084550</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>49.297670</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>47.9137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-01</th>\n",
       "      <td>61.308005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-04-01</th>\n",
       "      <td>37.373053</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-07-01</th>\n",
       "      <td>46.965153</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-10-01</th>\n",
       "      <td>51.557558</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01</th>\n",
       "      <td>64.358440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-04-01</th>\n",
       "      <td>39.209737</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-07-01</th>\n",
       "      <td>49.245223</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-01</th>\n",
       "      <td>54.030567</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            $\\hat{y}_t$     $b_t$      $l_t$     $s_t$    $y_t$\n",
       "2005-01-01    43.005390  0.620936  35.016131  1.228159  41.7275\n",
       "2005-04-01    26.352949  0.620936  35.637067  0.739481  24.0418\n",
       "2005-07-01    33.284729  0.620936  36.258004  0.917997  32.3281\n",
       "2005-10-01    36.719508  0.620936  36.878940  0.995677  37.3287\n",
       "2006-01-01    46.055825  0.620936  37.499877  1.228159  46.2132\n",
       "2006-04-01    28.189633  0.620936  38.120813  0.739481  29.3463\n",
       "2006-07-01    35.564800  0.620936  38.741750  0.917997  36.4829\n",
       "2006-10-01    39.192516  0.620936  39.362686  0.995677  42.9777\n",
       "2007-01-01    49.106261  0.620936  39.983623  1.228159  48.9015\n",
       "2007-04-01    30.026317  0.620936  40.604559  0.739481  31.1802\n",
       "2007-07-01    37.844870  0.620936  41.225496  0.917997  37.7179\n",
       "2007-10-01    41.665525  0.620936  41.846432  0.995677  40.4202\n",
       "2008-01-01    52.156697  0.620936  42.467369  1.228159  51.2069\n",
       "2008-04-01    31.863001  0.620936  43.088305  0.739481  31.8872\n",
       "2008-07-01    40.124941  0.620936  43.709242  0.917997  40.9783\n",
       "2008-10-01    44.138533  0.620936  44.330178  0.995677  43.7725\n",
       "2009-01-01    55.207133  0.620936  44.951115  1.228159  55.5586\n",
       "2009-04-01    33.699685  0.620936  45.572051  0.739481  33.8509\n",
       "2009-07-01    42.405012  0.620936  46.192988  0.917997  42.0764\n",
       "2009-10-01    46.611542  0.620936  46.813924  0.995677  45.6423\n",
       "2010-01-01    58.257569  0.620936  47.434861  1.228159  59.7668\n",
       "2010-04-01    35.536369  0.620936  48.055797  0.739481  35.1919\n",
       "2010-07-01    44.685082  0.620936  48.676733  0.917997  44.3197\n",
       "2010-10-01    49.084550  0.620936  49.297670  0.995677  47.9137\n",
       "2011-01-01    61.308005       NaN        NaN       NaN      NaN\n",
       "2011-04-01    37.373053       NaN        NaN       NaN      NaN\n",
       "2011-07-01    46.965153       NaN        NaN       NaN      NaN\n",
       "2011-10-01    51.557558       NaN        NaN       NaN      NaN\n",
       "2012-01-01    64.358440       NaN        NaN       NaN      NaN\n",
       "2012-04-01    39.209737       NaN        NaN       NaN      NaN\n",
       "2012-07-01    49.245223       NaN        NaN       NaN      NaN\n",
       "2012-10-01    54.030567       NaN        NaN       NaN      NaN"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.c_[aust, fit2.level, fit2.trend, fit2.season, fit2.fittedvalues], \n",
    "                  columns=[r'$y_t$',r'$l_t$',r'$b_t$',r'$s_t$',r'$\\hat{y}_t$'],index=aust.index)\n",
    "df.append(fit2.forecast(8).rename(r'$\\hat{y}_t$').to_frame(), sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally lets look at the levels, slopes/trends and seasonal components of the models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:29.636548Z",
     "start_time": "2017-12-07T12:39:28.576279Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "states1 = pd.DataFrame(np.c_[fit1.level, fit1.trend, fit1.season], columns=['level','slope','seasonal'], index=aust.index)\n",
    "states2 = pd.DataFrame(np.c_[fit2.level, fit2.trend, fit2.season], columns=['level','slope','seasonal'], index=aust.index)\n",
    "fig, [[ax1, ax4],[ax2, ax5], [ax3, ax6]] = plt.subplots(3, 2, figsize=(12,8))\n",
    "states1[['level']].plot(ax=ax1)\n",
    "states1[['slope']].plot(ax=ax2)\n",
    "states1[['seasonal']].plot(ax=ax3)\n",
    "states2[['level']].plot(ax=ax4)\n",
    "states2[['slope']].plot(ax=ax5)\n",
    "states2[['seasonal']].plot(ax=ax6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulations and Confidence Intervals\n",
    "\n",
    "By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of `HoltWintersResults.simulate`.\n",
    "\n",
    "Similar to the example in [2], we use the model with additive trend, multiplicative seasonality, and multiplicative error. We simulate up to 8 steps into the future, and perform 1000 simulations. As can be seen in the below figure, the simulations match the forecast values quite well.\n",
    "\n",
    "[2] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice, 2nd edition. OTexts, 2018.](https://otexts.com/fpp2/ets.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()\n",
    "simulations = fit.simulate(8, repetitions=100, error='mul')\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', \n",
    "               title=\"Forecasts and simulations from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "simulations.plot(ax=ax, style='-', alpha=0.05, color='grey', legend=False)\n",
    "fit.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simulations can also be started at different points in time, and there are multiple options for choosing the random noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()\n",
    "simulations = fit.simulate(16, anchor='2009-01-01', repetitions=100, error='mul', random_errors='bootstrap')\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', \n",
    "               title=\"Forecasts and simulations from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "simulations.plot(ax=ax, style='-', alpha=0.05, color='grey', legend=False)\n",
    "fit.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.6"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "navigate_num": "#000000",
    "navigate_text": "#333333",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700",
    "sidebar_border": "#EEEEEE",
    "wrapper_background": "#FFFFFF"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "98px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": false,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": true,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
